How will more grass grew as a result of more rain.
How will more grass affect the deer that live in the forest?
A. They will get sick.
B. They will get less food.
C. Their population will increase.
O
D. They will leave the forest forever.

The percentage increase in average commute times between these years = 2.25%

In 2010, the average commute time for wake county workers = 23.9 mins

In 2016, the average commute time for wake county workers = 25 mins.

The increase is = 25- 23.9 = 1.1

The average commute time between the two years,

23.9+25 = 48.9 mins

Therefore, the percentage,

= 1.1/48.9×100

= 110/48.9

= 2.249%

= 2.25% to the nearest two decimal places.

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Total number of eggs = 6 + 19 + 14 + 11 + 23 + 2 = 75 eggs

Total hatched eggs = 6 + 14 + 23 = 43

Therefore, the answer is 57 ( to the nearest whole number)

Step-by-step explanation:

Yes, 22 words per minute is an example of a unit rate. A unit rate compares a quantity to one unit of another quantity. In this case, the rate is 22 words per minute, indicating that there are 22 words for every 1 minute

Answer:

A

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use \(\frac{rise}{run}\).

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

\(\frac{y_{2}-y_{1}}{x_{2}-x_{1} }\)

(I think, if I memorized it correctly)

If the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

Given the initial value problem be   \(y^{11} -8y^{1} -15y=0\)and  \(y^{1}(0) =1\),y(0)=0.

We are required to find the solution of the given initial value problem.

Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.

Take laplace on the DE, we get

\(s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0\)

\(s^{2}Y(s)-s(0)-1-8{sY(s)-0)}+15Y(s)=0\)

(Putting the values given in question)

Y(s)=(\(s^{2} -8s+15)-1=0\)

Y(s)=1/(\(s^{2} -8s+15\))

Simplifying the above:

=1/(\(s^{2} -5s-3s+15)\)

=1/[s(s-5)-3(s-5)]

=1/2 [1/(s-3)-1/(s-5)]

Taking inverse of the above we get,

y(t)=\((e^{3t} -e^{5t} )/2\)

Hence if the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).

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Answer: ... am sorry but i cant help you if you dont have a question

Step-by-step explanation:

Hope someone helps ya out

Good Luck muah

Answer:

$880, $990 & debit card

Step-by-step explanation:

Credit:

-920 + 1800

$880

Debit:

$990

the debit card

The variance of the distribution is 0.964.

What is the variance?

The squared deviation from the mean of a random variable is referred to as variance in probability theory and statistics. The square of the standard deviation is another common way to express variation. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another.

Here, we have

Given:

x    P(r)

0    0.130

1      0.346

2     0.346

3      0.154

4       0.026

We have to find the variance of the distribution.

Var(X) = E(X²) - (E(X))²...(1)

E(X²) = ∑x²Pₓ(X=x)

E(X²) = 0×0.130 + 1²×0.346 + 2²×0.346 + 3²×0.154 + 4²×0.026

E(X²) = 3.532

Now,

E(X) = ∑xPₓ(X=x)

E(X) =  0×0.130 + 1×0.346 + 2×0.346 + 3×0.154 + 4×0.026

E(X) = 1.604

Now, we put the value of E(X) and E(X²) in equation (1) and we get

Var(X)  = 3.532 - (1.604)²

Var(X)  = 0.95918

Var(X)  = 0.964

Hence, the variance of the distribution is 0.964.

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SOLUTION

The given function is:

Translating the function 1 unit to the left the function becomes:

By further translating the function 1 units upward gives:

Therefore the required answer is:

Answer: Option (C): N′(1, 2), M′(−2, 1), O′(−1, 3).

Step-by-step explanation:

To reflect the preimage over x = -2, we can use the formula for reflecting a point (x, y) over a vertical line x = a:

(x', y) = (2a - x, y)

In this case, the vertical line is x = -2, so a = -2.

So we can find the image vertices as follows:

N' = (2(-2) - (-5), 2) = (4 + 5, 2) = (9, 2)

M' = (2(-2) - (-2), 1) = ( -4 + 2, 1) = (-2, 1)

O' = (2(-2) - (-3), 3) = (-4 + 3, 3) = (-1, 3)

Therefore, the image vertices of N'M'O' after reflecting the preimage over x = -2 are N'(9, 2), M'(-2, 1), O'(-1, 3). So the answer is option (c): N′(1, 2), M′(−2, 1), O′(−1, 3).

the probability of drawing a spade or a red card from a standard deck of cards is 3/4. The answer is option b.

To find the probability of drawing a spade or a red card from a standard deck of cards, we need to determine the number of favorable outcomes (spades and red cards) and the total number of possible outcomes (all cards in the deck).

In a standard deck of cards, there are 52 cards in total, with 13 cards in each of the four suits (spades, hearts, diamonds, and clubs). Among these, there are 26 red cards (hearts and diamonds) and 13 spades.

To find the probability, we add the number of favorable outcomes (spades and red cards) and divide it by the total number of possible outcomes (52):

P(spade or red card) = (13 + 26) / 52

                     = 39 / 52

                     = 3 / 4

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Answer:

-4

Step-by-step explanation:

Answer:

4i

Step-by-step explanation:

Answer:

your will becanswer $95.00

Answer:

105

Step-by-step explanation:

instalment time 10 months

so from 1050÷10

105 ans

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

(A) 236°

Step-by-step explanation:

270° - 34° = 236°

Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.

Since the amount of chocolate decreases as the number of attendees increase;

We use inverse variation to model the scenario :

Taking any pair of points :

3000 = k/8

k = 3000 × 8

k = 24000

Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.

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Answer:

The independent variable.

Answer:

Step-by-step explanation:

speed = distance/time

however speed is a compound measure

distance to school = speed x time

                               = 30mph x 1/3hr

                               = 10m

time =  10m / 45mph

       = 13.3 (recurring)

       = 13 mins

Answer:

x

Step-by-step explanation:

Answer:

The answer is x

Step-by-step explanation:

Simplify each term and rewrite

-9x^2-2x+9x^2+3x

-9x^2+9x^2 - 2x+3x

Answer:

3054  cm³

Step-by-step explanation:

recall that the volume of a sphere is given by

V = (4/3)πr³

where

r = radius

π = 3.14

We are given the diameter = 18 cm,

hence the radius = 18/2 = 9 cm

substituting this into the above equation,

V = (4/3)πr³

= (4/3)(3.14)(9³)

= 3053.63 cm³

= 3054  cm³ (to nearest cubic unit)

Answer:

fx= x+5

Step-by-step explanation:

based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.

Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.

We'll use a significance level (alpha) of 0.05.

Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (44 - 40) / (8 / sqrt(25))

t = 4 / (8 / 5)

t = 2.5

We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.

Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.

In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

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Answer:

9/4 or 2 1/4 cups of sugar.

Step-by-step explanation:

To find the answer we multiply 3/4 by 3.  Because the bottom stays the same, we wont multiply it.  Since 3 x 3 = 9, it will be 9/4.  Therefore, 9/4 or 2 1/4 is your answer.

Answer:i dont see anything

Step-by-step explanation:

To identify the curve given the polar equation r = 5 cos(theta) and theta = pi/3, we need to convert the polar equation into a Cartesian equation. This will allow us to express the curve in terms of x and y coordinates.

Convert polar equation to Cartesian equation: To convert the polar equation r = 5 cos(theta) into a Cartesian equation, we can use the relationships x = r cos(theta) and y = r sin(theta).

Substitute the given value of theta: Since theta = pi/3 is specified, we substitute this value into the equations from step 1.

x = 5 cos(pi/3) = 5 * (1/2) = 2.5

y = 5 sin(pi/3) = 5 * (√3/2) = 5√3/2 ≈ 4.33

Write the Cartesian equation: The Cartesian equation for the given polar equation is (x, y) = (2.5, 4.33).

Therefore, the curve identified by the given polar equation r = 5 cos(theta) and theta = pi/3 can be expressed in Cartesian coordinates as the point (2.5, 4.33).

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The quadratic function's domain for a given function is -2<x>2.

What is the Domain of a quadratic function?

Function given \(x=-2(y-2)^2+2\)

The vertices are represented by the vertex form, y = an (x-h)^2+ k, and (h,k).

h=-2

k=+2

It is clear that this parabola has a minimum value of y = -2 and a maximum value of y=+2.

The quadratic function's domain for a given function is -2<x>2.

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Answer:

$123.89

Step-by-step explanation:

51.88 + 72.01 = 123.89

Answer:

123.89

Step-by-step explanation:

$51.88 + $72.01= 123.89:)

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The vectors ⎣⎡11⎦⎤ and ⎣⎡11⎦⎤ are independent for b ≠ 1. the vector ⎣⎡021⎦⎤ is not contained in the span of the given vectors.

To show that the vector ⎣⎡021⎦⎤ is not contained in the span of the vectors ⎣⎡111⎦⎤, ⎣⎡001⎦⎤, and ⎣⎡221⎦⎤, we need to demonstrate that there are no constants c1, c2, and c3 such that:

c1⎣⎡111⎦⎤ + c2⎣⎡001⎦⎤ + c3⎣⎡221⎦⎤ = ⎣⎡021⎦⎤

Setting up the equation:

c1(1, 1, 1) + c2(0, 0, 1) + c3(2, 2, 1) = (0, 2, 1)

This leads to a system of equations:

c1 + 2c3 = 0   ...(1)

c1 + 2c3 = 2   ...(2)

c1 + c3 = 1     ...(3)

From equations (1) and (2), we can see that the system is inconsistent since the left sides are identical while the right sides differ. This means that there are no values of c1, c2, and c3 that satisfy the system of equations, and thus the vector ⎣⎡021⎦⎤ is not contained in the span of the given vectors.

4. For the vectors ⎣⎡11⎦⎤ and ⎣⎡1b⎦⎤ to be independent, we need to determine the values of b that make the two vectors linearly independent.

Setting up the equation for linear dependence:

c1⎣⎡11⎦⎤ + c2⎣⎡1b⎦⎤ = ⎣⎡0⎦⎤

Expanding the equation:

c1(1, 1) + c2(1, b) = (0, 0)

This leads to a system of equations:

c1 + c2 = 0    ...(4)

c1 + bc2 = 0   ...(5)

To find the values of b that make the vectors linearly independent, we need to find the values that make the system of equations inconsistent.

From equations (4) and (5), we can see that for the system to be inconsistent (i.e., no solution), the determinant of the coefficient matrix must be zero:

|1 1|

|1 b| = 0

The determinant equation is: (1 * b) - (1 * 1) = 0

b - 1 = 0

b = 1

Therefore, the vectors ⎣⎡11⎦⎤ and ⎣⎡11⎦⎤ are independent for b ≠ 1.

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