Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has 4 goldfish at the same time that Gretel has 128 goldfish, then in how many months from that time will they have the same number of goldfish

Answers

Answer 1

On solving the provided question, we can say that by fraction they will have the same amount of fish in 5 months.

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Month / Brent / Gretel

0/4/ 128

1/ 16 / 256

2 / 64 / 512

3 / 256 / 1024

4 / 1024 / 2048

5 / 4096 / 4096

They will have the same amount of fish in 5 months.

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Related Questions

What is the range of the function y = startroot x 5 endroot? y greater-than-or-equal-to negative 5 y greater-than-or-equal-to 0 y greater-than-or-equal-to startroot 5 endroot

Answers

The range of the function y = √(x +5)  is y ≥ 0

What is the range of the function?

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have

y = √(x +5)

Remember that the radicand of the function must be greater than or equal to zero

so (x +5) ≥ 0

solve for x

x ≥ -5

The domain is the interval ----> [-5,∞)

For x= -5

y = √(-5 +5) = 0

so

The range is the interval ----> [0,∞)

y ≥ 0

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John has the option to take the bus or a taxi to work each

day.
.

The bus costs $3. 00 per mile.

The taxi has a flat rate of

$4. 00 plus $1. 00 per mile.



Complete the blanks:


At _____miles, both the bus and the taxi will cost _____ dollars.


Answers

At 2 miles, both the bus and the taxi will cost $6.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given that the fare on bus is $3 per mile.

The taxi fare of taxi is $4. 00 plus $1. 00 per mile.

Assume that at x miles both fare will be the same.

The fare for x miles in bus is $3x.

The fare for x miles in taxi is $4 + $x

Equate to the fares:

3x = 4 + x

Subtract x from both sides:

3x - x = 4

2x = 4

Divide both sides by 2:

x = 4/2

x = 2.

The fare for 2 miles in bus is $3×2 = $6.

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What is not a polynomial class 10?

Answers

A variable-containing expression that divides by a variable, contains fractional or negative exponents, or is enclosed in a radical is not a polynomial.

As long as the polynomial is specified over the real numbers, it is possible for it to have negative coefficients, fractional coefficients, or even radical coefficients.

There cannot be a negative exponent in a polynomial. The exponent of a variable in any term of a polynomial must, by definition, be a nonnegative integer, such as 0, 1, 2, 3, 4, etc. The exponents of variables do not contain fractions, decimals, or negative numbers. There cannot be a variable with a fractional exponent in a polynomial.

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Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6

Answers

Answer:

Find the value of xx in the equation below.

11=

11=

\,\,x -6

x−6

Step-by-step explanation:

What is a sine ratio of an acute angle?

Answers

The sine of an acute angle in a right triangle is the ratio of the angle of the triangle to the opposite side of the hypotenuse.

Trigonometric ratios:

Trigonometric ratios are the ratios of the lengths of the sides of a triangle. These ratios in trigonometry relate the aspect ratio of a right triangle to each angle. A basic trigonometric ratio is the ratio of sin, cos, and tan, or the ratio of sin, cos, and tangent. Other important trigonometric ratios cosec, sec, and cot can be derived from sin, cos, and tan, respectively.

Acute Sine Ratio:

The tangent function examines the ratio of his two legs of a right triangle. You can also use the ratio of leg length divided by hypotenuse length.

In a right triangle, each angle has an opposite side and an adjacent side. And there is always a hypotenuse. On the opposite side and the hypotenuse we are dealing with the sine ratio. The sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse. In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.

Let's examine some properties of the sine ratio using the Pythagorean theorem. For a right triangle, let the lengths of the triangle be a, b, and c. where a is the length of the other side of A and b is the length of the other side of B.

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You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use

Answers

On solving the provided question, we can say that by  linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that is formed is  

10p +7 (10 - p) = 80

10p + 70 - 7p = 80

3p = 70

p = 10/3

10/3 pounds of peanuts and how many pounds of raisins should you use

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The length of ome material i 8. 3m correct to 1 decimal place. Write the error interval for the length ,x, of the material

Answers

The error interval for the length ,x, of the material is [8.25, 8.35)

We know that error interval is nothing but the limits of accuracy when a number has been rounded.

It is the range of possible values that a number could have been before a number was rounded.

Here, The length L of a some material is 8.3 meters.

The length of the material has been rounded to 8.3 to one decimal place.

The number below 8.3 is 8.2 and the number above is 8.4

Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.

This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.

Therefore, the required error interval would be 8.25 ≤ x < 8.35

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How do you decide which technique to use when solving an equation?

Answers

Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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The journal article that contains the results of the study actually reports that males with
epilepsy have an average of 14+ 9 µg/g of copper in their scalp hair.

What do you think
14 + 9 means in this situation?

Answers

The value of the equation A = 14 ± 9 μg/g and the term ±9 represents the margin of error

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 14 ± 9 μg/g   be equation (1)

Now , the value of A can have two values p and q

where , the value of p = 14 + 9 μg/g

p = 23 μg/g

And , the value of q = 14 - 9 μg/g

q = 5 μg/g

On simplifying the equation , we get

It means the margin of error which is no sampling method can guarantee that the sample matches the exact population

]Hence , the researchers are confident that the true average concentration for all the males with epilepsy in the study is between 5 μg/g and 23 μg/g

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Three workers are digging a hole. They work one by one, and every single of them works exactly
the amount of time it would have taken the other two to complete the digging of the entire hole.
They finish digging the hole by taking one turn each. How many times faster would they have
digged the hole if they worked together?
(A) 2.5 (B) 3 (C) 3.5 (D) 4 (E) 5

Answers

The work would be finished 3 times faster if they had been doing the work at the same time. The correct option is B.

Rate of doing work

Assumption;

Provided each one of the workers works for an hour which is equivalent to the time it takes to finish the hole.

In essence, the total time required to finish the ditch by 2 workers is; 2 hours.

Hence, for 3 workers working simultaneously, the time required is

1hour  = 60 minutes

However, since they took 1 hour turns on the job, it follows that; The total time used is;

Total time = 3 × 1hr = 3 hours = 180 hours

Hence they could have finished the work in;

R = 180/60 times faster =3 times faster.

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6 the standard deviation of human body temperatures is equal to 0. 62 F. Identify the null hypothesis and alternative hypothesis in symbolic form

Answers

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.

What are null and alternative hypotheses?

Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.

A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.

H₀: σ = 0.62

H₁: σ ≠ 0.62

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.

The alternative hypothesis exists that it does not equivalent 0.62.

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Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. how much money did Priya raise? Help please its due tomorrow!!!

Answers

There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.

This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}

Could someone pls help me solve this ive been struggling for the past hour.no calculator allowed but im allowed a trigonometric circle.thx

Answers

The numeric value for each trigonometric expression is given as follows:

3. [tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \frac{5}{4}[/tex]

4. [tex]\frac{\sin{\left(\frac{\pi}{4}\right)}}{\cos^2{\left(\frac{\pi}{3}\right)}} = 2\sqrt{2}[/tex]

How to obtain the numeric value for the trigonometric expressions?

The first trigonometric expression for this problem is defined as follows:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)}[/tex]

The numeric value of each term of the expression is given as follows, using equivalent angles on the trigonometric circle:

[tex]\sin{\left(-\frac{5\pi}{6}\right)} = \sin{\left(2\pi - \frac{5\pi}{6}\right)} = \sin{\left(\frac{7\pi}{6}\right)} = -\sin{\left(\frac{\pi}{6}\right)} = -\frac{1}{2}[/tex] (negative to positive, then find equivalent of the third quadrant angle on the first).[tex]\cos{\left(\frac{2\pi}{3}\right)} = -\cos{\left(\pi - \frac{2\pi}{3}\right)} = -\cos{\left(\frac{\pi}{3}\right)} = -\frac{1}{2}[/tex] (cosine on the second quadrant is negative).[tex]\cos{(-\pi)} = \cos{(\pi)} = -1[/tex] (cosine is an even function).

Hence:

[tex]\sin{\left(-\frac{5\pi}{6}\right)}\cos{\left(\frac{2\pi}{3}\right)} - \cos{(-\pi)} = \left(-\frac{1}{2}\right)^2 + 1 = \frac{1}[4} + 1 = \frac{5}{4}[/tex]

For item 4, the angles are on the first quadrant, hence:

[tex]\sin{\left(\frac{\pi}{4}\right)} = \frac{\sqrt{2}}{2}[/tex][tex]\cos{\left(\frac{\pi}{3}\right) = \frac{1}{2}[/tex]

Hence the numeric value of the expression is given as follows:

[tex]\frac{\frac{\sqrt{2}}{2}}{\left(\frac{1}{2}\right)^2} = 4 \times \frac{\sqrt{2}}{2} = 2\sqrt{2}[/tex]

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5. There are 42 teachers who work in a school. On Monday, 29 teachers were present. What percentage of the teachers showed up for work? ​

Answers

Answer:

69%

Step-by-step explanation:

There are 42 teachers who work in a school. On Monday, 29 teachers were present. The percentage of the teachers that showed up for work will be:

= 29 / 42 × 100

= 69%

Answer:

Step-by-step explanation:

In any case where you're asked, "what percentage of A is B?" you can simply divide the number B by the A. The decimal you get is the answer. for example, if you're being asked what percentage 12 is of 25, you just divide 12 by 25 to get 0.48, which translates to 48 percent. in your case, 29/42 is 0.69 (rounded down from 0.6904761905) which equals 69%.

In a case where B is larger than A, you still do the same, only with the addition of the whole number. Ex: what percentage of 25 is 86?

86/25 is 3.44, so your answer is 344%.

Hope this helped :)

Please help me! I don't understand

Answers

Ok so im
Not 100 percent sure but its most likely 12 this is because we know two sides are congruent so that means the two angles are equal so if they are equal and we are given that BE is 6 then ED would also be 6 making it 12

Answer: 12

Step-by-step explanation:

The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12

If 23 jugs of water fills 184 cups how many cups will fill one jug show your math

Answers

Answer:

To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:

184 cups / 23 jugs = <<184/23=8>>8 cups/jug

This means that one jug of water fills 8 cups.

Step-by-step explanation:

23 jugs of water = 184 cups

You’re reversing the question and finding out how many cups can fill up a jug, divide 184/23 = 8 cups can fill one jug.

To check your answer you can multiply 8 x 23 and you’ll get the original, 184 cups.

For one kindergarten class in his district, a researcher determines which children already can read simple words and which children cannot upon entering kindergarten. The children are followed until third grade, at which point they are tested to determine the grade level at which they are reading. Those children who were reading simple words upon entering kindergarten are found to be reading at a higher level than those who could not read simple words upon entering kindergarten. Fill in the Blank: The researcher _____________________________. Select one: a. can conclude that children should be taught to read in preschool, as there are clear benefits to reading early. b. needs to check the reading level of the children's parents. c. cannot establish a cause-and-effect relationship because the study did not use a random sample of kindergarten students. d. finds these results beneficial, as there may be confounding variables in this study. e. needs to retest in sixth grade or no conclusions can be reached.

Answers

The correct answer is that we cannot conclude that being able to read is beneficial for them as there can be various cause and effect relation.

A research is conducted to collect information about a specific topic for the purpose of study. A group of population is asked to fill a survey form or answer questions based on the research topic.

This data is collected and analyzed to get the required result.

Here, in this question kindergarten students are the population from whom data is collected . Here, the conclusion is that having the ability to read and write from before only doesn't means they will have academic intelligence later.

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a)
b)
2
Complete the prime factor trees for 24 and 84:
24
2
||||
6
2
84
7
2
3
What is the Lowest Common Multiple of 24 and 84?
4
6

Answers

The prime factor trees for 24 and 84 are attached in the image below. The Lowest Common Multiple of 24 and 84 is 168.

What are prime factors?

A natural number other than 1 whose only factors are 1 and itself is said to be a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. The lowest of two or more natural numbers' common multiples is referred to as the Lowest Common Multiple (LCM). A prime factor is a natural integer, other than 1, whose sole factors are itself and 1. Actually, 2, 3, 5, 7, 11, and so forth are the first few prime numbers. The term "Lowest Common Multiple" refers to the common multiple of two or more natural integers that is the lowest (LCM).

The prime factors of 24 are: 2,2,2 and 3.

The prime factors of 84 are: 2,2,3 and 7.

Now, The Lowest Common Multiple (LCM) of 24 and 84 is calculated using the prime factors of both the numbers.

LCM= 2*2*2*3*7= 168

Hence, The Lowest Common Multiple of 24 and 84 is 168.

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Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65

Answers

The measure of the central tendency is 67 as the data in the set are integers.

What is a central tendency?

A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.

As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.

Given, A data set 70, 67, 75, 60, 67, 65.

Arranging the data set in ascending order,

60, 65, 67, 67, 70, 75.

Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.

= 67.33.

Mode of the data set 67.

So, The central tendency of the data set is 67 as the data in the set are all integers.

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How do you prove inverse?

Answers

To prove the inverse :

In the equation expressing the function, swap out f(x) for y.Swap out x and y. To put it another way, swap out every x for a y and vice versa.Solve for y.Change y to [tex]f^{-1}[/tex] (x).

You assemble the functions (that is, insert x into one function, plug that function into the suggested inverse function, then simplify) and check that you end up with simply "x" to establish (or refute) that two functions are the inverses of one another. The functions are inverses if you get x; otherwise, they are not.

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is y = 1/3x + 4 proportional

Answers

Yes it is proportional

Find the equation of a line in General form passes through the points (7,5) and (-9,5)

Answers

Answer:

Step-by-step explanation:

54×54

Solve the differential equation by variation of parameters.
y'' − y = cosh x

Answers

The general solution is [tex]$$y=c_3 e^x+c_4 e^{-x}+\frac{1}{2} x \sinh x \text {. }$$[/tex]

Consider the following differential equation: y'' − y = cosh x

The given differential equation in the operator form will be: (D^2-1)y=coshx

The auxiliary equation of the corresponding homogeneous equation will be:

m^2-1 = 0

=>m^2=1

=>m=+1,-1

So, the complementary function will be [tex]y_c=c_1 e^x+c_2 e^{-x}.\alpha[/tex]

Now, let [tex]y_1=e^x, y_2=e^{-x}.[/tex]

Compute the Wronskian determinant:

[tex]$$\begin{aligned}W\left(y_1, y_2\right) & =\left|\begin{array}{ll}y_1 & y_2 \\y_1^{\prime} & y_2^{\prime}\end{array}\right| \\& =\left|\begin{array}{ll}e^x & e^{-x} \\e^x & -e^{-x}\end{array}\right| \\& =-e^x e^{-x}-e^x e^{-x} \\& =-2\end{aligned}$$[/tex]

Since the given differential equation is already in the form [tex]$y^{\prime \prime}+P(x) y^{\prime}+Q(x) y=f(x)$[/tex] (that is, the coefficient of y'' is 1 ),

So identify:

f(x)=cosh x

Then, calculate the values of u_1' and u_2', using formulas as follows:

[tex]$$\begin{aligned}u_1^{\prime} & =-\frac{y_2 f(x)}{W} & u_2^{\prime} & =\frac{y_1 f(x)}{W} \\& =-\frac{e^{-x} \cdot \cosh x}{-2} & & =\frac{e^x \cdot \cosh x}{-2} \\& =\frac{e^{-x} \cdot\left(\frac{e^x+e^{-x}}{2}\right)}{2} & \text { and } & =-\frac{e^x \cdot\left(\frac{e^x+e^{-x}}{2}\right)}{2} \\& =\frac{1}{4}\left(1+e^{-2 x}\right) & & =-\frac{1}{4}\left(e^{2 x}+1\right)\end{aligned}$$[/tex]

Integrate on both sides of u_1' and u_2' with respect to ' x', to get:

[tex]$$u_1=\frac{x}{4}-\frac{e^{-2 x}}{8} \text { and } u_2=-\frac{x}{4}-\frac{e^{2 x}}{8} .$$[/tex]

So, the particular solution is,

[tex]$$\begin{aligned}y_p & =u_1 y_1+u_2 y_2 \\& =\left(\frac{x}{4}-\frac{e^{-2 x}}{8}\right) e^x+\left(-\frac{x}{4}-\frac{e^{2 x}}{8}\right) e^{-x} \\& =\frac{1}{4} x\left(e^x-e^{-x}\right)-\frac{1}{8}\left(e^{-x}+e^x\right) \\& =\frac{1}{2} x \sinh x-\frac{1}{8}\left(e^{-x}+e^x\right)\end{aligned}$$[/tex]

Thus, the general solution of the given differential equation is,

[tex]$$\begin{aligned}y & =y_c+y_p \\& =c_1 e^x+c_2 e^{-x}+\frac{1}{2} x \sinh x-\frac{1}{8} e^{-x}-\frac{1}{8} e^x \\& =\left(c_1-\frac{1}{8}\right) e^x+\left(c_2-\frac{1}{8}\right) e^{-x}+\frac{1}{2} x \sinh x \\& =c_3 e^x+c_4 e^{-x}+\frac{1}{2} x \sinh x\end{aligned}$$[/tex]

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Captain Kevin has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability \dfrac{3}{5} 5 3 ​ of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5} 5 1 ​. If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?

Answers

Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

The probability that the pirate hits the Captain's ship, but the Captain misses

= 2/25) = 0.08

P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.

P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.

P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.

P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.

The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.

P(C' n p) is he needed probability.

P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08

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This home work is due tonight but I don’t understand anything? Pls help!

Answers

Total distance travelled by the family in the truck is 497.98 miles

How to solve an equation?

An equation is an expression that shows the relationship between two or more numbers.

The rental of the truck has a base cost of $49.95, and $1.19 per mile. The average gas mileage is 18 miles per gallon.

Let us assume the total distance travelled was x miles, hence:

Total gas consumed = x miles / 18 miles per gallon = x/18 gallons

The cost is $3.89 per gallon, hence:

Total cost of gas = $3.89 per gallon * x/18 gallons = 3.89x/18

Total cost of journey = 1.19x + 3.89x/18 + 49.95 = 2531x/1800 + 49.95

If $724.85 was charged, hence:

724.85 = 2531x/1800 + 49.95

x = 497.98

Total distance is 497.98 miles

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A dishwasher at a restaurant washes 9 forks. These forks represent 4% of the forks owned by the restaurant. How many forks does the restaurant own?

Answers

Answer:

The restaurant owns 225 forks

Step-by-step explanation:

We can get our answer by displaying as an equality

9 to 4/100

x to 100/100

You can multiply 4 by 25 to get 100 so to get the amount of forks, multiply 9 by 25

9 * 25 = 225

Answer:

225 forks

Step-by-step explanation:

9 to 4/100

x to 100/100

Multiply 4 by 25 to get 100 so to get the number of forks, multiply 9 by 25!

9 * 25 = 225

Hope this helps.

Marisol writes the equation 1. 6 : n=0. 16. Right your answer using an exponent. Explain how you know your answer is correct. ​

Answers

The equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]

And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.

What is an exponent?

An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.

To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1

And then we can raise the base 10 to the power of n: [tex]10^n = 10^{0.1} = 2.511[/tex]

Hence, the equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]

And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.

To learn more about the exponent, visit:

https://brainly.com/question/13669161

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The equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]

And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.

What is an exponent?

An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.

To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1

And then we can raise the base 10 to the power of n: [tex]10^n=10^{0.1}=2.511[/tex]

Hence, the equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]

And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.

To learn more about the exponent, visit:

brainly.com/question/13669161

#SPJ4

Find the value of each trigonometric ratio.

tan A

39

15

36

B

Answers

The value of each trigonometric ratio is given by :

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

As given in the question,

Let us consider a triangle be ABC,

Figure is attached.

Side length is given by:

AC = 39

AB = 36

BC = 15

AC represents the longest side

( 36 )² + (15)² = (39)²

⇒AB² + BC² = AC²

By Pythagorean triplets ABC is right angled triangle.

All trigonometric ratio with respect to angle A is given by :

sin A = BC / AC

        = 15/39

        = 5/13

cos A = AB / AC

         = 36 /39

         = 12 /13

tan A = BC / AB

         = 5 /12

cosec A = 1/ sin A

              = 13 /5

sec A = 1/ cos A

         = 13 /12

cot A = 1 / tan A

         = 12 /5

Therefore , the value of all six trigonometric ratio is equal to

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

The above question is incomplete , the complete question is :

Find the value of each trigonometric ratio tan A

Figure is attached.

Learn more about trigonometric ratio here

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Graph each equation.
12. y + 3 = 2(x - 1)

Answers

Given line in point-slope form:

y + 3 = 2(x - 1)

Point-slope form is:

y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the line

We know that to graph a line it is enough two have two points.

One of the points is (x₁, y₁) = (1, - 3).

Find one more point, when x = 3:

y + 3 = 2(3 - 1)y + 3 = 4y = 1

The point is (3, 1).

Plot and connect these two points to get the line.

Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49

Answers

35 is the range because you find the range of the set by searching it up
Answer and explanation: The range of these numbers can be found by taking the biggest number and subtracting the smallest number. In this case, the biggest number is 63 and the smallest number is 28.
63 - 28 = 35
The answer is 35
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