Jolie uses 2 tomatoes every day to prepare her salad. If n equals the number of tomatoes Jolie had before she made her salad and c equals the number of tomatoes left after the salad is made, which equation represents the number of tomatoes Jolie has after she made her salad? c = 2 − n c = n − 2 n = c − 2 n = 2 − c

Answer:

Step-by-step explanation:

first, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = 180 inches.

Since Daniel already has 28 inches of string, he still needs 180 - 28 = 152 inches of string to complete his project.

Received message. First, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = **180 inches**. Since Daniel already has 28 inches of string, he still needs 180 - 28 = **152 inches** of string to complete his project.

Answer:

b) y=3

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

The answer might be 7 i don't know

Answer:

w = 7 feet

Step-by-step explanation:

The area of the rectangle, 70 ft², is equal to the length, 10 ft, times the width, w.

So, to find w, we can divide the area by the length.

w = 70 / 10

w = 7

The width is equal to 7 feet.

We can check this by multiplying the given length by the width that we've calculated to see if the area is equal to 70 feet².

10 · 7 = A

70 = A

Because the area we found is equal to the given area, our calculations are correct.

I hope this helps ^^

Good luck n.n

\(\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}\)

\(\\ \rm\Rrightarrow \sqrt{11^2}\)

\(\\ \rm\Rrightarrow 11\)

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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the answer for the question is 24

.

Answer:

Option (1)

Step-by-step explanation:

Each cake requires cups of milk = \(1\frac{1}{2}\) cups ≈ 1.5 cups

6 cakes will require milk = 6 × 1.5

                                         = 9 cups

Anne has milk = 5 pints

∵ 1 pint = 2 cups

∴ 5 pints = 10 cups

Therefore, Anne has milk = 10 cups

Extra amount of milk Anne has = 10 - 9 = 1 cup

Hence, Answer is yes, she has enough milk. She will have 1 extra cup of milk.

Option 1 will be the answer.

Answer:

31

Step-by-step explanation:

the next number is 31 in this series

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

∠6 = ∠8

∠2 = ∠6

Step-by-step explanation:

Lines 'p' and 'q' are the parallel lines and line 'l' is a transversal line intersecting these lines at two distinct points.

By the property of alternate interior angles,

∠3 = ∠5

By the property of vertically opposite angles,

∠6 = ∠8

By the property of corresponding angles,

∠2 = ∠6

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

\(f(x) = x - 2 \\ g(x) = - 7x + 10 \\ f(g(x)) = ( - 7x + 10) - 2 \\ f(g(x)) = - 7x + 10 - 2 \\ f(g(x)) = - 7x + 8 \\ f(g(1)) = - 7(1) + 8 \\ f(g(1)) = - 7 + 8 \\ \boxed{f(g(1)) = 1}\)

Answer:

x = 3

Step-by-step explanation:

7(x + 1) + 2 = 5x + 15

~Simplify left side

7x + 7 + 2 = 5x + 15

~Combine like terms

7x + 9 = 5x + 15

~Subtract 9 to both sides

7x = 5x + 6

~Subtract 5x to both sides

2x = 6

~Divide 2 to both sides

x = 3

Best of Luck!

Answer:

Example 2 Evaluate 5x2 − 2( y + 1) + 9 when x = 2 and y = 1. 5x2 − 2( y + 1) + 9 = 5(2)2 ... In this lesson, you will. ○ use addition or subtraction to solve equations. ○ ... So, the value x = 4 is a solution of the equation x + 3 = 7.

Step-by-step explanation:

Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

B. 70

I took the test on Edge 2022

Answer: Option A is correct.

Step-by-step explanation:

It lies between -1 and 1.

If the correlation coefficient in an ordinary least squares regression = 1.00.

That indicates that there is a perfect relationship between the variables.

i.e. all the data points must fall exactly on a straight line with a positive slope. .

[when r is positive, the slope of the line is positive].

i.e. option A is correct.

All the data points must fall exactly on a straight line with a positive slope. Then the correct option is A.

It is a statistical concept that helps in establishing a relation between the predicted and actual value obtained in a statistical experiment. It explains the exactness of the predicted value and actual value.

If the correlation coefficient in an ordinary least squares regression = 1.00.

The correlation coefficient lies between -1 to 1.

If the correlation coefficient in an ordinary least squares regression is 1.00.

Then it indicates that there is a perfect relationship between the variables. That is all the data points must fall exactly on a straight line with a positive slope.

Thus, the correct option is A.

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Answer:

The answer is 54203!

Step-by-step explanation:

Pls mark me branlyist

Answer:

The answer to your question is....

809 x 67 = 54203

You have a right triangle and the length of the legs, use Pythaorean theorem to find the length of the hypotenuse (AB)

Answer:

1/8 x + 3/4 = -6

Step-by-step explanation:

If you want to solve this as well:

1/8 x = -5 3/4

x = -42

Answer:

B

Step-by-step explanation:

Answer:

A. There are four terms.

C. The term \(\frac{30}{y}\) is a ratio.

Step-by-step explanation:

The expression given is the sum of four components: a third order monomial (\(4\cdot x^{3}\)), a second order monomial (\(-7\cdot x^{2}\)), a zero order monomial (\(15\)) and a ratio (\(\frac{30}{y}\)). There are a sum and two differences. Hence, the correct answers are:

A. There are four terms.

C. The term \(\frac{30}{y}\) is a ratio.

Answer:

there are 4 terms

the term 30/y is a ratio

Step-by-step explanation:

got it right on my quiz

The angle sum property of a triangle and the angle formed between a tangent and a radius of a circle indicates.

m∠ADC = 58°

A tangent to a circle is a straight line which touches the circumference of a circle at only one point.

The vertical angles theorem indicates that we get;

∠1 ≅ ∠2

Therefore; m∠1 = m∠2

The tangent to a circle indicates that we get;

The angle formed at vertex B and Q are 90 degrees angles and the triangles ABP and AQP are right triangles, which indicates that the acute angles of each of the right triangles are complementary, therefore;

m∠1 + 26° = 90°

m∠1 = 90° - 26° = 64°

Therefore, m∠2 = m∠1 = 64°

m∠2 = m∠CAD = 64°

The segments AC and AD are radial lengths therefore, the triangle ΔACD is an isosceles triangle.

m∠ADC ≅ m∠ACD (Base angles of an isosceles triangle)

The angles ∠ADC and ∠ACD are therefore;

m∠CAD + m∠ADC + m∠ACD = 180° (Angle sum property of a triangle)

m∠CAD + m∠ADC + m∠ADC = 180°

m∠CAD + 2 × m∠ADC = 180°

64° + 2 × m∠ADC = 180°

m∠ADC = (180° - 64°)/2 = 58°

m∠ADC = 58°

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The graph of the function g(x) = 4x² is much narrower than the parent function f(x) = x².

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, A p[arent function f(x) = x².

Now, g(x) = 4x² would be a vertical stretch of 4 units and the graph of the parabola would be much narrower.

The greater the value of 'a' in (a)f(x) the narrower the function is.

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The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer: C

Step-by-step explanation:

Looking at the graph, we can see that the y-intercept is 16. Know this, we can automatically eliminate A, B, and D. To be sure, we should also check to make sure C is our right answer.

To find the slope, we cna take any 2 points and fill in the equation \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). Let's use (8,0) and (6,4).

\(m=\frac{4-0}{6-8} =\frac{4}{-2} =-2\)

In answer choice C, the slope is -2. Therefore, C is the correct answer.