I am having a difficult time solving this. Please HELP!

I Am Having A Difficult Time Solving This. Please HELP!

Answers

Answer 1

The solution of the algebraic expression for the variable M is given as follows:

M = (4π²a³)/(T²G)

How to solve an algebraic expression for a variable?

To solve an algebraic expression for a variable, we have to isolate this variable, as a function of the other variables in the expression.

In the context of this problem, the expression which we want to solve for M is given as follows:

T² = 4π²a³/GM

Applying cross multiplication to remove the fraction, we have that:

T²GM = 4π²a³

To isolate M, we apply the division, which is the opposite operation of the multiplication, as T²G are multiplying M, hence the simplified expression for M is given as follows:

M = (4π²a³)/(T²G)

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Related Questions

7. displaying sample means and their errors a researcher is investigating whether a reading intervention program improves reading comprehension for second graders. he collects a random sample of second graders and randomly assigns each second grader to participate in the reading intervention program or not participate in the program. the researcher knows that the standard deviation of the reading comprehension scores among all second graders is σ

Answers

The best plot for these results is given by:

C. Plot C.

How to verify which is the best plot for the results?

The mean result for each group is given as follows:

Group 1: 36.8.Group 2: 52.4.

Then we have to look at the vertical bars of each plot, and see the scores given.

For plot A, the scores are given as follows:

Group 1: 40.Group 2: 45.

For plot B, the scores are given as follows:

Group 1: 22.5.Group 2: 35.

For plot C, the scores are given as follows:

Group 1: 35.Group 2: 55.

For plot D, the scores are given as follows:

Group 1: 20.Group 2: 45.

Plot C has the closest value readings to the actual values of 36.8 and 52.4, hence it is the best option to plot the scores for each group.

What is the missing information?


The problem is missing and is given by the image at the end of the answer.

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Hello,May I please request help for number 13 in the uploaded picture? We are to do the following: Write the first four terms of each seequence.

Answers

To solve this question, find the 4 first terms of the sequence.

The first term is a₁

a₁ is given and a₁ = 7

The second term is a₂

Given:

[tex]a_n=a_{n-1}+5[/tex]

Then, let's find a₂ using the value of a₁

[tex]\begin{gathered} a_2=a_1+5 \\ a_2=7+5 \\ a_2=12 \end{gathered}[/tex]

The third term is a₃

let's find a₃ using the value of a₂

[tex]\begin{gathered} a_3=a_2+5 \\ a_3=12+5 \\ a_3=17 \end{gathered}[/tex]

The fourth term is a₄

let's find a₄ using the value of a₃

[tex]\begin{gathered} a_4=a_3+5 \\ a_4=17+5 \\ a_4=22 \end{gathered}[/tex]

Answer:

The four first terms are:

a₁ = 7

a₃ = 12

a₃ = 17

a₄ = 22

- Solve the system of equations by graphing.
y = x² - 3
x + y = -1

Answers

Answer: y=x2+3x−1

Hope this helps! :)

1/2 of a birthday cake was left over from a party. The next day , it is shared among 6 people. How big a piece of the original cake did each person get

Answers

Each person gets 1/12 fraction of the original cake.

What is a fraction?

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A common, vulgar, or simple fraction is one that has a non-zero denominator shown below (or after) the line that separates the numerator from the denominator. Composite fractions, complicated fractions, and combined numeral fractions are examples of uncommon fractions that use numerators and denominators.

Each person gets = 1/2 x 1/6 = 1/12

Hence, each person gets 1/12 fraction of the original cake.

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The cost to produce x units of wire is C = 305x +1350 ​, while the revenue is R = 35x. Find the interval where the product will at least break even.

Answers

The interval where the product will at least break even is [tex]$\left[\begin{array}{cc}\text { Solution: } & x \leq-5 \\ \text { Interval Notation: } & (-\infty,-5]\end{array}\right]$[/tex]

Given C= 305 x+1350C

R=60 x

To find the interval where the product will at least break even we must have [tex]$R(x) \geq c(x)$[/tex]

[tex]$\Rightarrow \quad 35 x \geq 305 x+1350$[/tex]

[tex]$$35 x \geq 305 x+1350$$[/tex]

Subtract 305 x from both sides

[tex]$$35 x-305 x \geq 305 x+1350-305 x$$[/tex]

Simplify

[tex]$$-270 x \geq 1350$$[/tex]

Multiply both sides by - 1 (reverse the inequality)

[tex]$$(-270 x)(-1) \leq 1350(-1)$$[/tex]

Simplify

[tex]$$270 x \leq-1350$$[/tex]

Divide both sides by 270

[tex]\frac{270 x}{270} \leq \frac{-1350}{270}$$[/tex]

Simplify

[tex]$$x \leq-5$$[/tex]

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

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A musical group wants to see who has downloaded its No. 1 hit song and find out the reasons why. Which description represents a sample?

The first 5,000 people who downloaded its No. 1 hit song
The first 5,000 people who chose not download its No. 1 hit song
All people who downloaded its No. 1 hit song
All people who did not download its No. 1 hit song

Answers

The description that represents a sample is A. The first 5,000 people who downloaded its No. 1 hit song.

What is sampling?

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

It should be noted that all people who downloaded its No. 1 hit song represents the entire population. The sample is a subset of the population.

In conclusion, the correct option is A.

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divided -6.5*10^-7 by 9.88*10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.

Answers

Scientific notation of the given expression divided -6.5 × 10^-7 by

9.88 ×10^-8 with two decimal places is equal to  6.58 × 10^0.

As given in the question,

Divided  -6.5 × 10^-7 by  9.88 ×10^-8 we have,

= ( -6.5 × 10^-7 ) /( 9.88 ×10^-8 )

= ( -6.5 / 9.88) × 10^(-7 +8)

= 0.65789 × 10^1

Express above quotient in scientific notation form with two decimal is equal to

= 6. 58 × 10^0

Therefore, scientific notation of the given expression divided -6.5 × 10^-7 by  9.88 ×10^-8 with two decimal places is equal to 6.58 × 10^0.

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is x=1 and y=-8 parallel, perpendicular, or neither

Answers

Answer:

perpendicular

Step-by-step explanation:

The equations represent a vertical and horizontal line, respectively, which are perpendicular to each other.

Which statement is true about figures ABCD and A′B′C′D′? (1 point) A polygon ABCD has A at ordered pair negative 4, negative 3, B at negative 3, negative 1, C at negative 2 and negative 3, D at negative 3 and negative 4. A polygon A prime B prime C prime D prime has A prime at ordered pair 3, 4, B prime at ordered pair 1, 3, C prime at ordered pair 3, 2, and D prime at ordered pair 4, 3. a A′B′C′D′ is obtained by translating ABCD 4 units up and then reflecting it about the y-axis. b A′B′C′D′ is obtained by translating ABCD 4 units right and then reflecting it about the x-axis. c A′B′C′D′ is obtained by rotating ABCD counterclockwise by 180 degrees about the origin and then reflecting it about the y-axis. d A′B′C′D′ is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

Answers

It is quite disappointing that i’m getting 5 points for this monstrosity of a very long question but, oh well…

d A′B′C′D′ is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.

the volume of a cylinder closed at one end is 2136cm³.. if its height is 14cm, find its diameter​

Answers

Diameter = 13.93771776 cm

please help me very easy !

Answers

The domain and the range pf the curve was solved and the correct answer to the question is the last option which is

Domain x ≤ 2Range y ≤ 6

How to find the domain and the range

The domain are the input values and are represented in the x axis while the range are the output values and represented in the y axis

From the graph

The extents of the graph on the x direction shows that the maximum value the curve or the graph reached is 2. Hence x is takes value from 2 to a minimum of -6The extents of the graph on the y direction shows that the maximum value the curve reached is 6. Hence x is takes value from 6 and to a minimum of -8

We can conclude that the last option is the correct answer

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If triangle ABC is congruent to triangle DEC,
angle B = 2x + 31 and angle E = 7x - 24
x = ?

Answers

In a case whereby triangle ABC is congruent to triangle DEC, angle B = 2x + 31 and angle E = 7x - 24, the X is 11.

What is the meaning of congruent  triangle?

It should be noted that when a Triangles are exactly the same in term of size and shape then it is congruent.

Since the angle E and angle B is the same, then we can equate it so that we can find the value of X , then this can be calculated as

(2x + 31) = (7x - 24)

The we have

(7x - 2x) = (31 +24)

The we will have

(5x) =( 55)

Then

x = 11

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Hypotenuse is 13.5 the angle is 41 degrees what’s the opposite

Answers

If the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units

The length of the hypotenuse = 13.5 units

The angle = 41 degrees

Here we have to use the trigonometric function

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

In this question hypotenuse and angles are given and we have to find the opposite side.

sin θ= opposite side /  Hypotenuse

Substitute the values in the equation

sin 41 = Opposite side / 13.5

Opposite side = sin 41×13.5

= 8.86 units

Hence, if the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units.

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what is the equation of the line that passes through the points (2,-2) and (3,-4)

Answers

Answer:

y + 2 = -2(x - 2) (point-slope form)

y = -2x + 2 (slope-intercept form)

2x + y = 2 (standard form)

Step-by-step explanation:

[tex]m = \frac{ - 4 - ( - 2)}{3 - 2} = - \frac{2}{1} = - 2[/tex]

[tex]y + 2 = - 2(x - 2)[/tex]

[tex]y + 2 = - 2x + 4[/tex]

[tex]y = - 2x + 2[/tex]

[tex]2x + y = 2[/tex]

John earns 20 dollars per hour and earns 1/2 times pay for overtime. If he works 50 hours this week how much money does he make?

Answers

Assuming 40 hours is the regulated amount of time per week.

John would make 1100$

choose the inequality shown by this diagram

Answers

Answer: C

Step-by-step explanation:

Starting off we need to understand what the circles are in inequalities.

A closed circle means that the number on the inequality is included in the solution. An open circle means that the number in the inequality is not included in the solution. A closed circle would use [tex]\leq or \geq[/tex]. An open circle would use < or >.

So, using these processes, -2<x[tex]\leq[/tex]7 would be the answer.

2. Round the following numbers to the nearest 10 thousand:

990,201:_____________________

159,994 :____________________​

Answers

Answer:

A, 9100 210 C 1520 99144 NO ES PERO BUENO MIRA AVER SI

The vertex of the parabloa is (-5,-2). When the x-value is -4

Answers

Answer:

the formula for the vertex is f(x)=a(x-h)²+k

so if you replace -4= a(0-5)²+-2

so a=-0.08

The formula would end up like this f(x)=-0.08(x-5)²+-2

Step-by-step explanation:

f(x) = 3x-1 , (f of g)(x) = x^2 , Find g(x)

Answers

Answer:

[tex]g(x)=\dfrac{x^2+1}{3}[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(x) means to substitute function g(x) in place of the x in function f(x).

[tex]\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}[/tex]

Therefore:

[tex]\boxed{g(x)=\dfrac{x^2+1}{3}}[/tex]

y= x^2 -2x -3 find the values of x when y=1

Answers

Answer:

x = 1 +sqrt(5)

x = 1 -sqrt(5)

Step-by-step explanation:

y= x^2 -2x -3

Let y = 1

1= x^2 -2x -3

Subtract 1 from each side

1-1= x^2 -2x -3-1

0 = x^2 -2x -4

Using the quadratic formula

x = - (-2) ±sqrt( (-2) ^2 -4(1)(-4))

     ----------------------------------------

                      2(1)

x = 2 ±sqrt( 4 +16)

     ------------------------

                      2

x = 2 ±sqrt( 20)

     ------------------------

                 2

x = 2 ±sqrt( 4*5)

     ------------------------

                 2

x = 2 ±sqrt(5)

     ------------------------

                 2

x = 1 ±sqrt(5)

     

Find the cube root of 13824 by prime factorisation​

Answers

Step-by-step explanation:

the set of prime numbers that, when multiplied together, give

13824:

2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3

Answer:

24

Step-by-step explanation:

Jalen needs a total of $85 to buy a new play station controller. he already has $25. if he saves $13 a week, what is the least number of weeks he must work to have enough money to buy a controller? a. 3 c. 5 d. 6 2

Answers

Answer:

5

Step-by-step explanation:

he needs $85 and he has $25,

so it will be 85-25=60

that means he would need $60 more. if he saves $13 every week, it will 60÷13= 4.6 weeks or approximately 5.

The equation y=0.52x+157 gives the cost y of renting a car if the care is driven x
miles. Based on this equation, for every mile the car is driven the cost of increases by
how much?

Answers

Answer is $0.52 increase per mile

Reason

In the y intercept form, y=mx + b
the “m” is the slope or rate of change, in this case it is the $ rate that will be multiplied by the variable “x” which would be the changing number of miles driven.
“B” is the starting point or base price that doesn’t change which is 157.

Initially, there were only 4 weeds at a park. The weeds grew at a rate of 15% each week. The following function represents the weekly weed growth: f(x) = 4(1.15)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.

f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily
f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily
f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily
f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily

Answers

The function to show how quickly the weeds grow each day is "f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily. Option B

How can we figure out the rate of increase in percentage terms each day?

f(x) = 4(1.15)x = 4(1+ 0.15)x ................... (1)

Given that there are seven days in a week, the daily growth rate of the weeds may be estimated using equation (1) by dividing 0.15 (which stands for the 15% weekly growth rate) in the following manner:

f(x) = 4(1.15)x = 4(1+ 0.15/7)x

f(x) = 4(1 + 0.02)x

f(x) = 4(1.02)x

Since 0.02 is the same as 2%, this implies that the rate at which the weeds grow each day is 2%.

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Solve the quadratic equation.

6^{2} = 5x + 6

I would appreciate help with this, thanks in advance!

≧◠‿●‿◠≦

Answers

[tex]6 {x}^{2} - 5x - 6 = 0 \\ 6 {x}^{2} - 9x + 4x - 6 = 0 \\ (6 {x}^{2} - 9x) + (4x - 6) = 0 \\ 3x(2x - 3) + 2(2x - 3) = 0 \\ (3x + 2)(2x - 3) = 0 \\ 3x + 2 = 0 \\ \\ \\ or \\ 2x - 3 = 0 \\ x = \frac{ - 2}{3} \\ \\ or \\ \\ x = \frac{3}{2} [/tex]

I FACTORISED THE EQUATION FIRST WITH A SIMPLE METHOD OF MULTIPLYING THE COEFFICIENT OF

[tex] {x}^{2} [/tex]

and the constant number then find the factors that will give me the coefficient of x.

ATTACHED IS THE SOLUTION

Step-by-step explanation:

are you sure this is the whole information ?

because

6² = 5x + 6

is not called a quadratic equation.

it is a quadratic equation, when there is one term in x² involved.

I assume therefore, that your problem is

6x² = 5x + 6

that is then as basic quadratic equation

6x² - 5x - 6 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 6

b = -5

c = -6

x = (5 ± sqrt((-5)² - 4×6×-6))/(2×6) =

= (5 ± sqrt(25 + 144))/12 = (5 ± sqrt(169))/12 =

= (5 ± 13)/12

x1 = (5 + 13)/12 = 18/12 = 3/2

x2 = (5 - 13)/12 = -8/12 = -2/3

so, the 2 solutions for the quadratic equation are

x = 3/2 and x = -2/3

please help! Due In 2 minutes!Which lines are parallel and why?

Answers

Because the angles on the first quadrant of the bottom horizontal line are equal, we conclude that the two parallel lines are FM and GB,

Which lines are parallel?

We know that two lines are parallel if when intersected by the same line, the two give the same angles.

In the image, we can see only one pair of equal angles, which are the two ones represented by a red quarter circle.

Both of these angles are on line MB, this means that the two parallel lines are the ones that intersect MB (in this case are the two vertical lines).

Then we can conclude that the two parallel lines are FM and GB.

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like terms
-3(u+6)-4(u+5)

Answers

The simplified form of like terms in -3(u+6) -4(u+5) is 7u = -38.

What are like terms?

Similar variables and powers are defined as like terms. It is not necessary for the coefficients to agree. When two or more terms do not share the same variables or powers, they are said to be unlike terms. Unless there is a power, the variables' order is irrelevant.

What is an equation?

Two expressions joined by an equal sign form a mathematical statement known as an equation.

Given that,

Expression is -3(u+6) -4(u+5)

Simplifying the equation,

-3u-18-4u–20 = 0

-7u -38 = 0

-7u = 38

7u = -38

Therefore 7u = -38 is the simplifief form of like term in -3(u+6) -4(u+5).

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A 10-question multiple choice test has 4 possible answers for each question. A student selects at least 6 correct answers

PLEASE HELP ME FAST

Answers

0.020 is a probability for student selects at least 6 .

What is a probability simple definition?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.Three main categories of probability exist: Probability in theory. Scientific Probability. Probability axiomatically.

There are two ways to do it. You can either interpret this as

One minus the probability that the student will guess 5 or fewer

correct answers with a probability of a correct answer being = 1/4  ⇒      

0.0197277069

The probability that the student will guess 4 or fewer wrong answers

with a probability of a wrong answer being = 3/4

  binomcdf (10,3/4,4)

     = 0.0197277069

Either way it rounds to 0.020

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Write an equation for each of the following phrases or word problems. Solve for the missing variable.
Three is a number divided by 6.

Answers

The mathematical sentence can be written as:

3 = x/6

And the solution is x = 18.

How to write and solve the equation?

Here we have the following mathematical sentence:

"three is a number divided by 6"

If we define x as the "number", then we can write this as:

3 = x/6

So we have a simple linear equation, to solve this, we just need to multiply both sides of the equation by 6, we will get:

3*6 = (x/6)*6

18 = x

We conclude that the solution is 6.

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Bailey, kacie, and kaiden drive a total of 50 miles to work each day. kacie drives twice as far as bailey and kaiden drive 10 miles farther than kacie. how far does each person drive?

Answers

Let Bailey drive x miles.

So, Kacie drove 2x miles.

Kaiden drove 2x + 10 miles.

According to the question,

x + 2x + 2x + 10 = 50

x = 8

Therefore, Bailey drove 8 miles and Kacie drove 16 miles, while Kaiden 36 miles.

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