Answer:
600 m³
Step-by-step explanation:
Given:
length of swimming pool = 30 mwidth of swimming pool = 10 mdepth at deep end = 3 mdepth at shallow end = 1 mTo find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.
Area of cross section
= area of rectangle - area of triangle
= (3 × 30) - [1/2 × 30 × (3 - 1)]
= 90 - 30
= 60 m²
Volume of pool
= area of cross section × width
= 60 × 10
= 600 m³
what is the answer to and how to solve7(11c+3)
Answer:
I got 77c+21
Step-by-step explanation:
Answer:
77c + 21
Step-by-step explanation:
7(11c + 3)
= 7*11c + 7*3
= 77c + 21
You have a rectangular sand box whose length is 4 more than its width. If the width is
12 feet, what is the perimeter of the sandbox?
O 192 ft
O 56 ft
a
O 28 ft
O It is not possible to find the Perimeter with the given information
Answer:
(b) 56 ft
Step-by-step explanation:
The length is 4 more feet than the width of 12 feet, so is 12+4 = 16 feet.
The perimeter of a rectangle is twice the sum of length and width:
P = 2(L +W)
P = 2(16 ft +12 ft) = 2(28 ft)
P = 56 ft
The perimeter of the sandbox is 56 feet.
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
solve the equation -8=7x+2/5
Answer:
-6/5 = x
Step-by-step explanation:
Multiply by 5 to get rid of fractions:
-40 = 35x + 2
Subtract by 2 to get all terms on one side:
-42 = 35x
Divide by 35 to get x term:
-42/35 = x
-6/5 = x
help with my geometry please!! any help is appreciated!!!
Answer:
x = 9 or x = - 5
Step-by-step explanation:
12
Solve for x.
9
X+4
2x
will give brainliest
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
What is the quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, that can be written in the form of ax^2 + bx + c = 0 where x is the variable, a,b,c are constant and a is not equal to zero.
To solve for x in the equation 9/(x+4) = 2x, we can first clear the fractions by multiplying both sides of the equation by (x+4). This gives us:
9 = 2x*(x+4)
Then we can simplify the right side of the equation:
9 = 2x^2 + 8x
Next, we can move all the x terms to one side of the equation and all the constants to the other side:
2x^2 + 8x - 9 = 0
Now we can use the quadratic formula to solve for x:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 8, and c = -9
So we have:
x = (-8 +/- sqrt(8^2 - 42-9)) / 2*2
x = (-8 +/- sqrt(64 + 72)) / 4
x = (-8 +/- sqrt(136)) / 4
x = (-8 +/- 4*sqrt(17)) / 4
x = (-2 +/- sqrt(17))
So the solutions for x are x = -2 + sqrt(17) and x = -2 - sqrt(17)
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position. Assume the population standard deviation is 6.2 weeks. Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance
Answer:
The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance
Step-by-step explanation:
The null hypothesis is:
\(H_{0} = 28\)
The alternate hypotesis is:
\(H_{1} < 28\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.
This means that \(n = 50, X = 26\)
Assume the population standard deviation is 6.2 weeks.
This means that \(\sigma = 6.2\)
Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance
We have to find the pvalue of Z, looking at the z-table, when \(\mu = 28\). It if is lower than 0.05, it provides evidence.
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}\)
\(z = -2.28\)
\(z = -2.28\) has a pvalue of 0.0113 < 0.05.
The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance
Which is equivalent to 80
√80*
√80
80*2
[80]*
4
The answer is option b \(\sqrt[4]{80^x}\)
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here: The exponent as \(80^{x/4}\) =\(\sqrt[4]{80^x}\)
Hence, The answer is option b \(\sqrt[4]{80^x}\)
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Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
<95141404393>
PLS HELP WILL GIVE BRAINLIEST IVE BEEN ASKING FOREVER :(((((
Answer:
__C) 0.36
Step-by-step explanation:
4÷11= 0.36363636363636
so it's 0.36 with a line over it indicating a repeating decimal
alpha beta square +alpha square beta quadratic equation
β=-α is the solution for alpha beta square +alpha square beta quadratic equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
alpha beta square +alpha square beta quadratic equation
αβ²+βα²
αβ(β+α)
αβ=0
and
β+α=0
β=-α
Hence β=-α is the solution for alpha beta square +alpha square beta quadratic equation
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Find the area of the following composite figure
Answer:
1713
Step-by-step explanation:
952+288+472=1713
If the probability that a vaccine you took will protect you from getting the flu is 0.977, what is the probability that you will get the flu?
Probability that you will get the flu =
Answer:
Step-by-step explanation:
0.033
What is the slope of the line graphed on the coordinate plate? (1,-2) (0,6)
Answer:
m = -8 (Two points slope form)
Step-by-step explanation:
y = -8x + 6
Which statement correctly describes how to find an equivalent fraction for 60
Circle all the correct answers.
A Multiply 60 by a number and divide 100 by the same number
B
Add the same number to 60 and 100.
С
Subtract the same number from 60 and 100,
D Multiply 60 and 100 by the same number
E Divide 60 and 100 by the same number
A
B
C
D
E
Answer:
C and E
Step-by-step explanation:
Consider the function f(x) = -2x+15 . What is the value of y when x = 3?
Answer:
f(3) = 9
Step-by-step explanation:
Step 1: Define
f(x) = -2x + 15
x = 3
Step 2: Substitute and Evaluate
f(3) = -2(3) + 15
f(3) = -6 + 15
f(3) = 9
7. Which function has -5 as its only zero?
A. f(x)=(x - 1)(x + 5)
B. f(x) = x(x + 5) C. f(x)=(x – 5)2
D. f(x)=(x + 5)2
You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?
Answer:
a) The store which provides the lowest total costs is:
True Builders
b) The cost without sales tax is:
$407.48
Step-by-step explanation:
Data and Calculations:
Product Quantity True Builders Quality Suppliers
Price Costs Price Costs
Bricks 120 $2.20 $264.00 $2.25 $270.00
2 x 4 boards 40 ft $0.75 30.00 $0.70 28.00
1 x 6 boards 120 ft $0.60 72.00 $0.65 78.00
2 x 6 boards 30 ft $0.80 24.00 $0.80 24.00
Paint 2 gal. $15.50 31.00 $11.25 22.50
Paint Brushes 2 $7.50 15.00 $9.75 19.50
Total costs $436.00 $442.00
Imputed Sales Tax of 7% 28.52 28.92
Without Sales Tax $407.48 $413.08
Answer:
Quality Supplies 442.00
Step-by-step explanation:
Question 8
A scientist determines a plot of forest has a stable population of about 100 deer. Deer live in the interior of ecosystems. Then, a highway is built, splitting the forest into two plots of equal size.
After a couple of years, the scientist checks the number of deer in the two plots and finds the total population to be 60 deer.
Why did the carrying capacity of the habitat drop when the forest was split into two plots?
Select all that apply.
Responses
The two plots of forest have more edges than a single plot, causing a decrease in interior species. The two plots of forest have more edges than a single plot, causing a decrease in interior species.
The highway changed the climate of the region, making it less suitable for deer.The highway changed the climate of the region, making it less suitable for deer.
The two plots of forest provided more interior habitat for species other than deer. The two plots of forest provided more interior habitat for species other than deer.
The highway affected the growth of many plant species, which serve as food for the deer.
Question 9
A chicken-sized, flightless bird lives on an island in the middle of an ocean. The bird has some natural predators, which it avoids.
When people arrive at this island, they bring cats with them. Cats also hunt the bird.
What is the impact in the short term of bringing cats to the island?
Responses
The number of birds will remain the same.The number of birds will remain the same.
It is not possible to know whether there will be fewer or more birds.It is not possible to know whether there will be fewer or more birds.
There will be fewer birds.There will be fewer birds.
There will be more birds.
a) The highway affected the growth of many plant species, which serve as food for the deer. Option D
b) There will be fewer population of the birds. Option C
What is the carrying capacity?The carrying capacity of an ecosystem is the maximum number of individuals of a particular species that can be supported by the available resources in that ecosystem.
It is the point at which the population growth rate becomes zero, as the resources needed to sustain the population (such as food, water, and space) become limited. Carrying capacity can change over time due to factors such as climate change, pollution, and human activity.
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cual es el valor absoluto de 26
Which voting methods satisfy the Majority Fairness Criterion?
Find the number of paths from A to B. (Each step can only go up or to the right.)
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
Write a polynomial function for f(2) = 0 with a multiplicity of 2 and f(-1) = 0.
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
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• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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1. Roll a standard die. Amanda wins if the result is prime or 1. Beto wins
if the result is composite
Answer:
What is the question?
Step-by-step explanation:
prime: 1, 2, 3, 5
composite: 4, 6
Beto has 2/6 = 1/3 chance of winning
Amanda has 4/6 = 2/3 chance of winning
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Answer:
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sofiapenaloza
05/31/2023
Mathematics
College
answered • expert verified
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
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joaobezerra
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31.3K answers
261.9M people helped
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?
For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Step-by-step explanation:
If PR = 24 and RS = 11, what is PS?
PS = 42
PS = 13
PS = 27
PS = 35
The length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.
We are given the length of two line segments as:
PR = 24 units
RS = 11 units
Now, we need to find the length of PS.
We will use the operation of addition here as PS will be equal to the sum of PR and RS. Addition refers to the basic operation of mathematics that is used to simplify and evaluate an expression or an equation.
So, we get that:
PS = PR + RS
Substituting the values, we get that:
PS = 24 units + 11 units
PS = 35 units
Therefore, we get that, the length of the line segment PS will be 35 units when PR is 24 units and RS is 11 units.
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Please ANSWER!!!!!!!
Answer:
See explanation
Step-by-step explanation:
It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.
Can someone please help me.
Its figure A cause see how it says small squares thats the one
thanks
your gurl unique