To write our number as a fraction, the order of the steps is:
step 3.step 5.step 4.step 2.step 1.How to write the repeating decimal as a fraction?First, we define our number:
x = 0.1717...
So we start with the step 3.
Now notice that there are two repeating decimals, so we need to multiply both sides by 100 (as many zeros as repeating decimals)
100*x = 10*0.1717... = 17.1717...
This is step 5.
Now we can subtract the original number in both sides so we remove the repeating decimals:
100*x - 0.1717... = 17.1717... - 0.1717...
99*x = 17
These are steps 4 and 2.
Finally, we divide both sides by 99 to get:
x = 17/99
Which is step 1.
And that is our number written as a fraction.
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Prove the following.
Given: BA is perpendicular to BC,
BD bisects mABC.
Prove: mABD = 45°
Solve this problem:
√-9k=√16-k
k=
For the equation
y-3 = 2(x + 4),
which of the following is true?
Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. the side length of Cube B is twice that of Cube A.
A. is the surface are of Cube B also twice that of Cube A?
B. is the volune of Cube B also twice that of Cube A?
The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³
What is a cube?
A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.
We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.
Then the surface area of Cube B = 6a²
Cube B = 6 x 4² = 96
Surface area of Cube A = 6 x 2² = 24
The volume of the cube A = a³ = 2³ = 8 cm³
The volume of the cube B = a³ = 4³ = 64 cm³
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Find the area of the shape giving
Answer:
49.7
Step-by-step explanation:
FORMULA : A = (b1 + b2)h/2
base 1 = 4.2
base 2 = 10
4.2 + 10 = 14.2
height = 7
14.2 x 7 = 99.4
99.4/2 = 49.7
n is an integer 5
5<2n<20
write down all the possible values of n
If n is an integer , the possible values of n in the given inequality are n > 5/2 and n < 10 .
In the question ,
it is given that ,
the inequality is 5 < 2n < 20 , where n is an integer .
we need to find the all the possible values of n that satisfy the given inequalities .
to find the possible values of n , we solve both sides of the inequality separately ,
that is ,
5 < 2n
dividing both sides in the inequality by 2, we get
5/2 < n
n > 5/2
and
2n < 20
dividing both sides in the inequality by 2 , we get
n < 20/2
n < 10
Therefore , the possible values of n are n > 5/2 and n < 10 .
The given question is incomplete , the complete question is
Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?
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-18t=-3(t+5) distributive property I only have 10 points.
Answer: t=1
Step-by-step explanation:
1. Distribute the -3
-18t=-3t-15
2. Move the -3t to the other side
-15t=-15
3. Divide by -15 to solve for t
t=1
Please help me!!!!!!!!!!
Answer:
i can't see the pic
Step-by-step explanation:
1. Trevor vende dulces en paquetes de 3 y de 7
Un día compro 102 dulces para vender. Como vende más
paquetes de 7, intento agrupar la mayor cantidad de
dulces en paquetes de 7
y algunos fueron paquetes de 3.
Si empaquetó todos sus dulces, ¿Cuántos de paquetes de 3
agrupo?
Answer:
A. 63.
Step-by-step explanation:
ASAP! exponent rules.
Answer: 5^13
Step-by-step explanation:
1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis
(5^2)^4*5^5
5^8*5^5
2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up
5^8*5^5=5^13
Simplify. 5(x+2)-3(x-2)+7x= Please Help!!! Make it legit!
Answer: 9x + 16
Simplify the expression
2. An auto repair shop charges $50 plus $25 per hour. Using C for cost and h for hours, write an
equation to model the problem. Then, use your equation to find the cost for an 8-hour repair job
at the shop.
Answer:
Step-by-step explanation:
The equation would be y=25x+ 50 which is linear. Radical expressions have a number under the radical sign which this equation doesn't. Rational expressions have fractions containing polynomials in the numerator and denominator and exponential equations have 'x' as the exponent in a function.
A new car is purchased for 20300 dollars. The value of the car depreciates at 9. 5% per year. What will the value of the car be, to the nearest cent, after 11 years?.
The value of the car to be, to the nearest cent, after 11 years is $7641.
Given data;
A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.
To know the value of the car to be, to the nearest cent, after 11 years;
[tex]S(t) = 20300*(0.915)^t[/tex]
[tex]S(11) = 20300*(0.915)^1^1[/tex]
[tex]S(11) = 20300*0.376[/tex]
[tex]S(11) = 7640.61[/tex]
Hence, the value of the car after 11 years is $7641.
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for a standard normal distribution, 95% of the datapoints are contained in the interval [ -x , x ]. what is the value of x?
Standard deviation - The value of x is 1.96.
What is standard normal distribution?
A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].
The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.
Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.
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is it reasonable to use this line of best fit to make the above prediction? select the correct answer below:
The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable. the correct option is (A).
Given that,
The projected amount of time spent with family for someone who spent 36 minutes playing video games is 81.54 minutes, according to the line of best fit.
To find :
Is it appropriate to make the aforementioned forecast using this line of best fit
According to the "line of best fit" it is that along which the sum of squares of deviation is minimum. This means the line of best fit minimizes the deviation or we can say error due to which it gives better estimate than other method.so, the predicted number of minutes spent with family is both reliable and reasonable.
Therefore, the estimate, a predicted time of 81.54 minutes, is both reliable and reasonable
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The question was incomplete. Check below the complete question.
is it reasonable to use this line of best fit to make the above prediction? select the correct answer below:
a. 81.54minutes
b. 50.25minutes
c. 23minutes
d. 36minutes
Use matrices A and B. Compute B - A, if you can.
Answer:
Step-by-step explanation:
When adding or subtracting, the matrices must be the same size!
Therefore, B-A is not possible.
When the product of 6 and the square of a number is increased by 5 times the number.
The square of a number is increased by 5 times the number [tex]6x^{2} +5x-4=0[/tex]
What is quadratic equation?
A quadratic equation is a second order equation written as a[tex]x^{2}[/tex] + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Product of 6 and the square of a number is increased by 5 times the number, he result is 4.
Consider x as the number,
The question can be written as:
[tex]6(x^{2} )+5(x)=4[/tex]
[tex]6(x^{2} )+5(x)-4=0[/tex]
Hence, the answer for the given question is [tex]6x^{2} +5x-4=0[/tex].
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Put the numbers in order from smallest to largest.
= 3.24 x 10°
= 4.68 z 10
= 5.48 x 10°
6
= 8.34 z 10 2
1.2 z 107
27
Order for the given exponential numbers will be:
5.48 x [tex]10^{9}[/tex]
3.24 x 10^{9}
1.2 x 10^{7}
8.34 x 10^{-2}
4.68 x 10^{-6}
What are the exponential functions?
A mathematical function called an exponential function is employed frequently in everyday life. It is primarily used to compute investments, model populations, find exponential decay or exponential growth, and so forth. You will discover the formulas, guidelines, characteristics, graphs, derivatives, exponential series, and examples of exponential functions in this article. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most frequently used exponential function base.
With the highest power in exponential function,
function will be more greater if the numbers multiplied by exponential function are in same order of decimal number.
In given Que,
numbers multiplied are all of 2 decimal number.
So, we can directly compare the values x in e^{x}
i.e. 9 > 7 > -2 > -6
for same value of x: compare value of number multiplied.
Hence, we found out the correct answer.
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solve for brainliest
The students' Landry and Erika was the name used and the image is attached
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
The two graphs shown the first from the left represents a positive slope while the second is a negative slope
Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph
Considering c (y intercept)
In Cole's equation c = -1 and in Erika's equation c = +4
Erika's equation coincides with the graph with positive slope and Landry matches with second graph.
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Calculate the volume of the frustums (image attached), I would really appreciate some help!
Answer: USE the forumla
Step-by-step explanation:
Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'. Its volume (V) can be calculated by using: V = πh/3 [ (R3 - r3) / r ] (OR) V = πH/3 (R2 + Rr + r2)
a grocer purchase 5 dozenegg at rs 12 each.10 eggs are broken and he sold remaining at rs 14 each (i)his total loss or profit find profit or loss percent.
Answer:
Approximately 3% loss======================
Number of eggs purchased:
5*12 = 60Cost of eggs:
60*12 = 720Number of eggs sold:
60 - 10 = 50Money made:
50*14 = 700Profit or loss?
Cost (Rs 720) is greater than money made (Rs 700), so this is a lossPercent loss:
(720 - 700) / 720 × 100% = 20/720 × 100% =≈ 3%125% of what number is 52.5
Answer:
42
Step-by-step explanation:
1.25x = 52.5 Divide both sides by 1.25
x = 42
solve the simultaneous equation F-2g+3=2f-39+2=1
The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 .
According to the question,
We have the following equation:
f-2g+3=2f-39+2=1
Now, we will equate both these equations to 1:
f-2g+3 = 1
Subtracting 3 from both sides:
f-2g = 1-3
f-2g = -2 ..(1)
2f-39+2 = 1
2f -37 = 1
Adding 37 to both sides:
2f = 1+37
2f = 38
Dividing by 2 on both sides:
f = 38/2
f = 19
Putting this value of f in equation 1:
f-2g = -2
19-2g = -2
-2g = -2-19
-2g = -21
g = 21/2
g = 10.5
Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1.
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Please answer this i need it within 5 minutes
Answer:
(-2.-3)
Step-by-step explanation:
(-2.-3)
K
Assume x and y are functions of t. Evaluate
dy
(Type an exact answer in simplified form.)
dy
for 4xy-4x+4y³ = -36, with the conditions dx
dt
dt
=-16, x= 4, y = -1.
For the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.
As given in the question,
Given function is equal to :
4xy-4x+4y³ = -36
Let us consider x and y are function of t.
Now , evaluate the derivative of function with respect to t we get,
4x(dy/dt) + 4y(dx/dt) -4(dx/dt) + 12y²(dy/dt) = 0
⇒( 4x + 12y² ) (dy/dt) + ( 4y -4 ) (dx/dt) = 0
Substitute the value of dx/dt = -16, x = 4 , y = -1 we get,
[ 4(4) + 12(-1)² ](dy/dt) + [ 4(-1) - 4 ] (-16) =0
⇒(16 +12) (dy/dt) + (-8)(-16) = 0
⇒ dy/dt = - ( 8× 16)/ 28
⇒ dy/dt = -32/7
Therefore, for the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.
The complete question is:
Assume x and y are functions of t. Evaluate dy/dt , for 4xy-4x+4y³ = -36, with the conditions dx/dt = -16 , x = 4 , y = -1.
(Type an exact answer in simplified form.)
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The scale factor of a model of a hot air balloon to the actual hot air balloon is 1 to 5. The volume of the actual balloon is 5000m³.
What is the volume of the model?
The volume of the model of the air balloon is 1000m³.
What is volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.So, the volume of the model:
The ratio of the volume of, the model: actual balloon = 1:5The volume of an actual air balloon is 5000m³.So, calculate the volume of the model as follows:
1/x = 5/50005000 = 5x5x = 5000x = 1000m³Therefore, the volume of the model of the air balloon is 1000m³.
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Find the value of x.
12x-5,
O
K
43
L
N
M
Answer:
x = 4
Step-by-step Explanation:
[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]
What is the equation of the line shown in this graph?
Answer:
Step-by-step explanation:
formula of a linear line - y=mx+c
so y=
m= gradient x =x coodinate c=y-intercept
c= -3
m = 0
which is y=-3
pls give me brainliest
pls:(
Answer:
y = - 3Step-by-step explanation:
Points given:
(- 2, - 3) and (3, - 3)This is a horizontal line with constant y - value of - 3.
So it equation is y = - 3.
A container releases fuel at a rate of 5 gallons per second. If y represents the amount of fuel remaining in the container and represents the number of seconds that have passed since the fuel started
dispensing, then x and y satisfy a linear relationship.
If the tank begins with 103 gallons, how many gallons will remain after 2 seconds?
If the tank begins with 103 gallons, then 93 gallon will remain after 2 seconds
The quantity of fuel releases from the container = 5 gallon per second
Consider the fuel remaining in the container = y
Consider the number of seconds that have passed since the fuel started dispensing = x
Then x and y satisfy a linear relationship
The quantity of fuel in the tank at the beginning = 103 gallon
Time taken = 2 seconds
Then the equation will be
y = 103 - 5x
Time taken is x = 2
y = 103 - 5× 2
y = 103 - 10
y = 93 gallon
Hence, if the tank begins with 103 gallons, then 93 gallon will remain after 2 seconds
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At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosing each coin is equally likely, the biased coin has a 78% of landing tails. What is the probability of choosing the biased coin if you won a prize.
The probability of choosing the biased coin if you win a prize is 0.3056
To answer this query, we employ the conditional probability formula. It is, where
P(B|A) is the likelihood that event B will occur in the absence of event A.
is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
The following probability applies:
50% chance of winning a prize with the fair coin.
There is a 100-78 = 22% chance of winning a reward with the biased coin.
50% chance of selecting each coin.
What is the likelihood that you would choose the biased coin if you were to win a prize?
Event A: Receiving the award
Choosing the skewed coin is event B.
the likelihood of selecting the skewed coin and obtaining the reward.
p(A∩B) = 0.5 * 0.22 = 0.11
probability of winning the prize:
p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36
conditional probability:
p(B/A) = 0.11/0.36= 0.3056
the probability of choosing the biased coin if you win a prize is 0.3056
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