Find a formula for the area of the figure in terms of s.

Answer:

Correct choice: B

Step-by-step explanation:

System of non-linear equations

It's given the following system of equations:

\(y=x^2+3x+5\)

\(y=x+13\)

We'll use the substitution method. Substituting y from the first equation into the second equation, we have:

\(x^2+3x+5=x+13\)

Moving all terms to the left side:

\(x^2+3x+5-x-13=0\)

Simplifying:

\(x^2+2x-8=0\)

Factoring:

\((x+4)(x-2)=0\)

There are two solutions:

x=-4, x=2

The first solution gives a value for y:

y=-4+13=9

First solution: (-4,9)

The second solution gives a value for y:

y=2+13=15

Second solution: (2,15)

Correct choice: B

Answer:

20

Step-by-step explanation:

Answer:

175%

Step-by-step explanation:

70 = p * 40

p = 1.75 or 175%

Answer:

Step-by-step explanation:

175%

Answer:

125.7 yd² (nearest tenth)

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\large\boxed{S.A.=2\pi r^2 + 2\pi r h}\)

where:

To find the surface area of a cylinder with radius 2 yd and height 8 yd, substitute r = 2 and h = 8 into the formula and solve for S.A.:

\(\begin{aligned}S.A.&=2\pi \cdot 2^2 + 2\pi \cdot 2\cdot 8\\&=2\pi \cdot 4 + 32\pi\\&=8\pi + 32\pi\\&=40\pi\\&=125.663706...\\&=125.7\; \sf yd^2\;(nearest\;tenth)\end{aligned}\)

Therefore, the surface area of the cylinder is 125.7 yd² (rounded to the nearest tenth).

so it will end up at 6y-6

you need to combine everything that does not have an exponent (example. a, x, y) and you combine the ones that have exponents together. and therefore you get 6y-6 (remember positive and negative signs)

Answer:

1. H0: u = 500

2. H1: u <500

3. One sample t test

Step-by-step explanation:

1. The null hypothesis in this question would be

H0: u = 500

2. The alternative hypothesis would be

H1: u < 500

3. The test that we are going to be using is the one sample t test. This test is used to test hypothesis. It would make a comparison of h0 to the mean of the sample. Now we are using this here because the sample standard deviation was given

a. The percentage of persons (p) who would permit the pressure to increase to its highest point is what we are predicting.

What is the statistics

b.the pressure to build to its highest point (75/264).

c. Sample statistic's value is 0.2835.

d. Estimate's standard error is 0.0255.

e. Its highest level, the 95% confidence interval, is (0.2326, 0.3344).

A subfield of mathematics called statistics is concerned with the gathering, examination, interpretation, presentation, and arrangement of data.

Several disciplines, including business, economics, sociology, psychology, epidemiology, and public health, employ it. Statistic uses a variety of techniques to gather and analyse data to better understand.

(A) The percentage of persons (p) who would permit the pressure to increase to its highest point is what we are predicting.

(b) The sample statistic, given as p, is the percentage of subjects that allowed the pressure to build to its highest point (75/264).

(c) The sample statistic's value is 0.2835.

(d) The estimate's standard error is 0.0255.

(e) For the percentage of people who would permit the pressure to reach its highest level, the 95% confidence interval is (0.2326, 0.3344).

Therefore, Overall, the findings of this study indicate that a significant majority of high school pupils will tolerate pressures up to 300 mmHg without ever complaining about the discomfort. The range of values inside the 95% confidence.

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Answer:

Answer is D.

Please mark my answer as Brainliest if you found this one helpful.

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The function [4x⁻⁴ - 3x ³ + 6x -10]/ x +1 is described accordingly.

The graph of the function [4x⁻⁴ - 3x³ + 6x - 10]/(x + 1) represents a rational function.

It may exhibit vertical asymptotes at x = -1, where the function approaches infinity or negative infinity.

The graph can also have x-intercepts and may show different behavior based on the values of x.

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Full question

Describe the [4x⁻⁴ - 3x ³ + 6x -10]/ x +1

Answer:

A. 20 / 7 = 3 (or 2.85)

B. 55 / 7 = 8 (or 7.85)

Brainliest is appreciated!

_ daintysword.mp4

Answer:

A.3

B.8

Step-by-step explanation:

this is the answer

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

Step-by-step explanation:

Slope of line through (0,-1) and (1,2) = (-1 - 2)/(0 - 1) = 3

Point-slope equation for line of slope 3 that passes through (0,-1):

y+1 = 3(x-0)

When x = 2:

y+1 = 3(2-0)

y = 3·2 - 1 = 5

When x = 3:

y+1 = 3(3-0)

y = 3·3-1 = 8

Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

9514 1404 393

Answer:

Step-by-step explanation:

In your expression, you have ...

  a = 1

  b = 11

  c = 24

Then ac = (1)(24) = 24, and b = 11. The chart looks like the attached.

The numbers on the side have a sum equal to the bottom number (11) and a produce equal to the top number (24). These are the constants in the binomial factors, so the factored form is ...

  (x +8)(x +3) . . . . equivalent factored form

The value of ac is

✔ 24

.

The value of b is

✔ 11

.

The equivalent factored form of the polynomial is

✔ (x + 3)(x + 8)

.

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Answer:

30 ft

Step-by-step explanation:

10 yards x 3 ft per yard= 10x3=30 ft

Answer:

(a) (C U D) = {k, m, y, z}

(b) C ∩ D = {z}

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Step-by-step explanation:

radius = ½×diameter = 6 ft

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

8 2/5

Step-by-step explanation:

42/5

to find the improper fraction, divide the numerator by the denominator

and then find the remainder

42 / 5 = 8  ( 5*8)  the remainder is 42-40 = 2

Put the remainder over the denominator

8 2/5

Hey there!

Question reads….

Which mixed number is equivalent to the improper fraction 42/5?

EQUATION:

42/5

The one that is equivalent to the fraction is:
8 2/5

Reason:

8 2/5

= 8 * 5 + 2 / 5

= 40 + 2 / 5

= 42 / 5

Therefore, your answer should be:

Option C. 8 2/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\(\huge\boxed{\sf Reduces}\)

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

Answer:

Mode:7

Median:2

Mean:5.2

Range:7

Step-by-step explanation:

see the picture attached

The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.

Given :

Numbers  --  3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.

b) The median of the given series is 5 and 7.

c) The formula of mean is used in order to determine the mean of the given series.

\({\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}\)

\(\rm Mean = \dfrac{52}{10}\)

\(\rm Mean = 5.2\)

d) The range of the given series is calculated as:

\(\rm Range = 8-1\)

\(\rm Range = 7\)

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Answer:

he Pressure-Volume Law. Boyle's law or the pressure-volume law states that the volume of a given amount of gas held at constant temperature varies inversely with the applied pressure when the temperature and mass are constant.

Step-by-step explanation: