Last quarter, 84 seventh grade students made honor rolls. if there are 400 students in the seventh grade, what percent made honor rolls.

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

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The 99% confidence interval for the true mean cholesterol content of all such eggs is (151.04, 178.96).

(a) A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 165mg/dL with s=15.6 milligrams. We need to construct a 99% confidence interval for the true mean cholesterol content of all such eggs.The formula for constructing a confidence interval is given by,  CI = X ± z (s/√n)Where,X = sample meanZ = 2.576 (for a 99% confidence interval)s = 15.6mg/dLn = 12CI = 165 ± 2.576 (15.6/√12)CI = 165 ± 13.96Therefore, the 99% confidence interval for the true mean cholesterol content of all such eggs is (151.04, 178.96).(b) Given that levels of cholesterol 100 to 129mg/dL are acceptable for people with no health issues, but may be of more concern for those with heart disease, should someone with heart disease be worried about these results? Why or why not?The confidence interval (151.04, 178.96) lies above the acceptable range of 100 to 129mg/dL. Therefore, someone with heart disease should be worried about these results, as the eggs they are consuming have higher levels of cholesterol that could lead to further complications of the disease.

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The equation which represents a circle with its center at (1, 7) and a radius of 3 units is (x - 1)^2 + (y - 7)^2 = 9

The equation of a circle in the xy-plane with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is at (1, 7) and the radius is 3. So, the equation of this circle would be:
(x - 1)^2 + (y - 7)^2 = 3^2

Simplifying further, we get:
(x - 1)^2 + (y - 7)^2 = 9
This equation represents a circle with its center at (1, 7) and a radius of 3 units.

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Answer:

(-2, -2)

Step-by-step explanation:

You have to find the lowest point of the graph.  That would be 2 to the left of the origin and 2 down.  Note that the scale on the graph differs for the x- and y-axis.

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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Answer:

Step-by-step explanation:

poop

Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

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Answer:

3’d

Step-by-step explanation:

Answer:

\((3^6)^{18}=3^{108}=3.38139191\times10^{51}\)

Sara used 3/5 cup of milk in the recipe. The answer corresponds to option (B) in the given answer choices.

The total amount of liquid used by Sara in the recipe is 1 cup. Out of this 1 cup, Sara used 2/5 cup of vinegar. Therefore, the amount of milk she used would be the difference between the total amount of liquid used and the amount of vinegar used.

Mathematically, we can represent this as:

Amount of milk = Total amount of liquid - Amount of vinegar

Amount of milk = 1 cup - 2/5 cup

Simplifying the expression on the right side, we get:

Amount of milk = 5/5 cup - 2/5 cup

Amount of milk = 3/5 cup

Therefore, Correct option is B.

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Complete question is:

Sara used a total of 1 cup of liquid for a recipe. She used 2/5 cup of vinegar, and the rest of the liquid she used was milk.

How much milk, in cups, did sara use for the recipe?

A) 2/5

B)3/5

C)5/5

D) 1 2/5​

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

Step-by-step explanation:

To be divisible by 5, the last digit of the palindrome must be either 0 or 5.

If the last digit is 0, then the first digit must also be 0, since the number is a palindrome. This gives us only one possibility: 1001, which is not divisible by 5.

If the last digit is 5, then the first digit can be any number from 1 to 9, since leading zeros are not allowed. This gives us 9 possible choices for the first digit. For each choice of the first digit, the second digit can be any number from 0 to 9, giving us 10 choices. Thus, there are 9 x 10 = 90 palindromes between 1000 and 9999 that end in 5.

Therefore, there are 90 palindromes between 1000 and 9999 that are divisible by 5.

Number of digits  5

Range of numbers 10000-99999

Cumulative palindromic numbers 1099

Answer:

9÷ 1/2 = 9 • 2/1 = 18 bags of trail mix

Step-by-step explanation:

You can solve this problem using division.  Since there are 9 pounds of trail mix to divide up, you would start with 9 pounds and divide it by 1/2 pound to find the number of bags you could make (use the reciprocal of the divisor 1/2)

Answer: 77150

300*256+350 = 77150

Hope this helped =)

Answer: 77150300*256+350 = 77150

Step-by-step explanation: hope this helps <3

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

458 fishes

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The answer is in the picture. Click on it.

The constant of variation is 3.And , when x = 24, y = 4, and z = 6, W is equal to 48.

a. We know that W varies jointly as x and y and inversely as the square of z. So, we can write the equation as W = k(xy)/z^2, where k is the constant of variation. Now, we can use the given values to find k as follows:

W = 189, x = 28, y = 16, and z = 8
189 = k(28*16)/(8^2)
189 = k(7*4)
k = 189/(28*16/64)
k = 3

Therefore, the constant of variation is 3.

b. We are given x = 24, y = 4, and z = 6 and we need to find W. We can use the equation we derived earlier and substitute the given values as follows:

W = k(xy)/z^2
W = 3(24*4)/(6^2)
W = 48

, when x = 24, y = 4, and z = 6, W is equal to 48.

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Consequently, when a1 is provided as 3 and the expression for the following term is a = 5an-1 + 1, the value of a5 is 2031.

An algebraic progression is when there is a continual difference between terms that follow each other in an series. For illustration, the decimal number 5, 7, 9, 11, 13, and 15 is an example of an algebraic expression with a tolerance of two. A advance with a set tolerance among any two consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of algebraic progression are plausible: series in mathematics with a finite length A finite geometric evolution is a series with just a finite number of terms. The early, late, allowance, and frequency of terms may all be calculated using the terms in the series.

given

a1 = 3

a2 = 5 * 3 + 1 = 16

a3 = 5 * 16 + 1  = 81

a4 = 5* 81 + 1 = 406

a5 = 5* 406 + 1 = 2031

Consequently, when a1 is provided as 3 and the expression for the following term is a = 5an-1 + 1, the value of a5 is 2031.

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Answer:

D)

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The equation of the graph is y = max(x² - 4, 4 - x²)

Given data ,

Let the equations of the graph be represented as A and B

where

y = x² - 4

And , y = 4 - x²

On simplifying , we get

On the same coordinate plane, we can plot the points and connect them to form the curves

The equation for the part of the graph which is above the y-axis can be obtained by considering the y-values of the points above the x-axis. We can write it as:

y = max(x² - 4, 4 - x²)

This equation takes the maximum value between the two equations for each x-value. It represents the upper portion of the graph that lies above the y-axis

Hence, the equation is solved

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Answer:

21.38

Step-by-step explanation:

Find the diagram attached

In order to get PS, we need to get the length of QS first

According to triangle QRS;

QS =opposite

QR = 39(adjacent)

Using SOH CAH TOA

Tan theta = opp/adj

Tan 28 = QS/39

QS = 39tan28

QS = 39(0.5317)

QS = 20.74

Get PS

sin theta = QS/PS

sin 76 = 20.74/PS

PS = 20.74/sin76

PS = 20.74/0.9703

PS = 21.38

Hence the length of PS is 21.38

The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Answer:

Her answer is not reasonable. Her average is 83.

Step-by-step explanation:

Add all of her test grades together (96+82+78+76=332)

To find the average, you need to add all test grades she got and then divide the sum by the total number of numbers added (in this case, we added 4 tests together, so we need to divide by 4)

\(\frac{332}{4} =83\)

So she added wrong and forgot to divide by the total number of tests.

Answer:

C.  (1000x75) + (500x75)

Step-by-step explanation:

1500 x 15 x 5

(1000 + 500) x 75

(1000x75) + (500x75)

Answer:

5.59

Step-by-step explanation:

22.36/4 = 5.59

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Answer:

Step-by-step explanation:

The probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

To find the probability that the sum of the rolls is divisible by 6, we need to determine the favorable outcomes and the total number of possible outcomes.

First, let's identify the favorable outcomes. In this case, the sum of the rolls can be divisible by 6 if the sum is either 6 or 12.

1. For the sum of 6:
  - One possible outcome is rolling a 6 on the first roll and rolling a 1 on the remaining four rolls.
  - Another possible outcome is rolling a 5 on the first roll and rolling a 2 on the remaining four rolls.
  - We can also have rolling a 4 on the first roll and rolling a 3 on the remaining four rolls.
  - Similarly, rolling a 3 on the first roll and rolling a 4 on the remaining four rolls.
  - Finally, rolling a 2 on the first roll and rolling a 5 on the remaining four rolls.
  - This gives us a total of 5 favorable outcomes.

2. For the sum of 12:
  - One possible outcome is rolling a 6 on all five rolls.
  - This gives us a total of 1 favorable outcome.

Now let's determine the total number of possible outcomes. Since we are rolling a fair 6-sided die 5 times, the total number of possible outcomes is 6^5 (since each roll has 6 possible outcomes).

Therefore, the probability that the sum of the rolls is divisible by 6 is:

(total number of favorable outcomes) / (total number of possible outcomes)
= (5 + 1) / (6^5)
= 6 / 7776
= 1 / 1296

So, the probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

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Answer:

(3,8)

Step-by-step explanation: