The school store sells Midville High T-shirts for $12 each and Midville High shorts for $9 a pair. One afternoon they sold a total of 39 T-shirts and pairs for a total of $414.

Answer:thus the answer is 2

Step-by-step explanation:

Given

The Radius of a solid cylinder (r)=5cm

Height (h)=10cm

Hence

Total surface area =2πrh+2πr

2

=2πr(h+r)

=2π×5(10+5)

=π×10×15

=150πcm

2

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

Step-by-step explanation:

\((\frac{f}{g} )(x) = \frac{2x^{2} +4x-16}{4x^{2} -16}\)

2x²+4x -16 =  2(x²+2x-8); factor 2

                  = 2(x+4)(x-2) ;factor the quadratic equation

4x²-16  = 4(x²-4) ; factor 4

            =4(x²- 2²) ; rewrite 4 as 2²

           = 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

\((\frac{f}{g}) (x) = \frac{2(x+4)(x-2)}{4(x-2)(x+2)}\) ; simplify (x-2) from numerator and denominator

                                  and 2/4 as 1/2

\((\frac{f}{g}) (x) = \frac{(x+4)}{2(x+2)}\)

The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

Answer:

when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.

Step-by-step Explanation:

The relationship between an intercepted arc and an inscribed angle is given as:

the measure of the intercepted arc = twice the inscribed angle that intercepts it.

Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.

Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.

Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."

In multiple regression analysis, the correlation among the independent variables is termed multicollinearity

Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.

It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.

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Answer:

B) 7/2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2

Answer: Mass of a typical house cat:

Automatically eliminate B and D since they are not metric unit for mass

So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.

Correct answer: C

Using the Pythagorean theorem, the length of the water slide is approximately 24.7 meters.

What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental idea in geometry that asserts that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle= the sum of the squares of the other two sides. In equation form, it is as follows:

a² + b² = c²

Now,

Using the Pythagorean theorem, we can find the length of the water slide as follows:

Length of the slide = √(23² + 9²) meters

Length of the slide = √(529 + 81) meters

Length of the slide = √610 meters

Length of the slide ≈ 24.7 meters (rounded to the nearest tenth)

Therefore, the length of the water slide is approximately 24.7 meters.

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The value of b/a of the number plates is 0.0

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

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Answer:

Perimeter of rectangle is 16 cm and the area of square is 1 cm^2

Step-by-step explanation:

Here, we want to get the perimeter of rectangle and area of square

From the question, the rectangle has 2 rows of 6 squares each; So we have the length as 2 cm and the width as 6 * 1 cm = 6 cm

So the rectangle is 6 cm by 2 cm

The perimeter of a rectangle is 2(l + b)

so, we have 2(6 + 2) = 2(8) = 16 cm

The area of the square is simply the side length raised to the power of 2

we have this as 1^2 = 1 cm^2

The correct values for A, B and C are given as follows:

The table shows the ratios of black to white keys on pianos of various sizes, and these ratios are constant, meaning that the following proportional relationship is established:

A/13 = 18/B = 45/65 = 72/C

Then the value of A can be obtained as follows:

A/13 = 45/65

Applying cross multiplication, we have that:

65A = 13 x 45

A = 13 x 45/65

A = 9.

The value of B can be obtained as follows:

18/B = 45/65

Applying cross multiplication, we have that:

45B = 18 x 65

B = 18 x 65/45

B = 26.

Finally, the value of C can be obtained as follows:

72/C = 45/65

Applying cross multiplication, we have that:

45C = 72 x 65

C = 72 x 65/45

C = 104.

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The semi-annual interest payment for this 5-year treasury bond with a coupon rate of 8% and a face value of $1000 is $40.

The annual interest payment is calculated by multiplying the face value of the bond ($1000) by the coupon rate (8%) which gives $80.

Since this is a semi-annual bond, the interest payments are made twice a year, so to find the semi-annual interest payment, you divide the annual payment by 2, which gives $40.

The semi-annual interest payment for a 5-year treasury bond with a coupon rate of 8% and a face value of $1000 would be $40.

This is because the annual interest payment is calculated by multiplying the face value ($1000) by the coupon rate (0.08), which equals $80.

To get the semi-annual payment, we simply divide the annual payment by 2, which equals $40.

Therefore, every six months the bondholder would receive an interest payment of $40.

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The semi-annual interest payment for this treasury bond is $40 (80/2). In summary, the bond pays $40 in interest twice a year, resulting in a total annual interest payment of $80.

The semi-annual interest payment for a 5-year treasury bond with a coupon rate of 8% and a face value of $1000 is $40. This is because the annual interest payment is calculated by multiplying the face value of the bond by the coupon rate, which in this case is $1000 multiplied by 0.08, resulting in an annual payment of $80. To determine the semi-annual interest payment, we simply divide the annual payment by 2, resulting in $40. This means that the bondholder will receive $40 every six months for the duration of the bond's term.

A 5-year treasury bond with a face value of $1000 and a coupon rate of 8% will have an annual interest payment of $80, which is calculated by multiplying the face value by the coupon rate (1000 x 0.08). To find the semi-annual interest payment, simply divide the annual interest payment by 2. Therefore, the semi-annual interest payment for this treasury bond is $40 (80/2). In summary, the bond pays $40 in interest twice a year, resulting in a total annual interest payment of $80.

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Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

The reduced ratio of butter to flour in this recipe is 10:13, or 10⁄13 in fraction form.

The reduced ratio for the quantity of butter to the quantity of flour in this recipe can be found by dividing both quantities by their greatest common factor. The greatest common factor of 30 and 39 is 3, so we can divide both quantities by 3 to get the reduced ratio:

30 ounces of butter ÷ 3 = 10 ounces of butter
39 ounces of flour ÷ 3 = 13 ounces of flour

Finally, the ratio is defined as:

R = butter / flour

R = 10:13 = 10/13

Therefore, the reduced ratio is 10:13, or 10/13 in fraction form.

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Answer: I think C

Step-by-step explanation:

Answer:

12^5

Step-by-step explanation:

5 + 7 = 12

therefore 12^5 is the same as (5+7)^5

Answer:

\(12^5\)

Step-by-step explanation:

\(5+7=12\\\)

To the fifth power means \(x^5\)

so our number is 12 here making it \(12^5\)

The final solution to the given simultaneous equation is (0, -6)

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Given the set of equations below:

y = -x-6

x + 3y = -18

Using the substitution method;

Substitute equation 1 into 2 to have:

x + 3(-x - 6) = -18
x - 3x - 18  =-18
-2x = 0

x = 0

Since y = -x- 6

y = -0 - 6

y = -6

Hence the solution to the system of equation is (0, -6)

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Answer:

24 meters

Step-by-step explanation:

Just did it on IXL

Answer:

-320; 303

Step-by-step explanation:

Well... you could really just use a calculator to do this, I mean?

124 - 444 = -320

345 - (-7)*(-6) = 345 - 42 = 303

Answer:

1) 320

2) 303

Step-by-step explanation:

1) simple Subtraction

2) first multiply -7 & -6 = 42

then 345-42 = 303

Answer:

Your answer should be 35 :)

Step-by-step explanation:

Hope this helps!

Answer:

The answer is (-4, -0.5).

Step-by-step explanation:

The revenue function, R(x), can be calculated by multiplying the number of servings sold, x, by the selling price per serving, which is $4.00.

(A)Therefore, the revenue function is given by:

\(\[R(x) = 4x\]\)

(B) The profit function, P(x), represents the difference between the revenue and the cost. We can subtract the cost function, C(x), from the revenue function, R(x), to obtain the profit function:

\(\[P(x) = R(x) - C(x) = 4x - (300 + 0.1x + 0.003x^2)\]\)

Simplifying the expression further, we have:

\(\[P(x) = 4x - 300 - 0.1x - 0.003x^2\]\)

\(\[P(x) = -0.003x^2 + 3.9x - 300\]\)

(C) The marginal profit function represents the rate of change of profit with respect to the number of servings sold, x. To find the marginal profit function, we take the derivative of the profit function, P(x), with respect to x:

\(\[P'(x) = \frac{d}{dx}(-0.003x^2 + 3.9x - 300)\]\)

\(\[P'(x) = -0.006x + 3.9\]\)

(D) To find the marginal profit when 150 pieces of pie are sold, we substitute x = 150 into the marginal profit function:

\(\[P'(150) = -0.006(150) + 3.9\]\)

\(\[P'(150) = 2.1\]\)

The marginal profit when 150 pieces of pie are sold is $2.1 per additional serving.

(E) The interpretation of the answer in part (D) is that for each additional piece of pie sold beyond the initial 150 servings, the profit will increase by $2.1. This implies that the incremental benefit of selling one more piece of pie at that specific point is $2.1.

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There is no danger of a collision, as the two paths will never met, due to the negative discriminant of the quadratic function.

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

The equations for this problem are given as follows:

Replacing the first equation into the second, we have that:

x + x² + 1 = -4

x² + x + 5 = 0.

The coefficients are:

a = 1, b = 1, c = 5.

Hence the discriminant is of:

Δ = 1² - 4 x 1 x 5

Δ = -19.

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The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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The missing proof in the given congruence of triangle is;

∠FAB = ∠FBA.

For the given question;

The given data in the triangle FAB is;

In the step two,

FA = FB (Property of isosceles triangle)

Then, step 4 will be ∠FAB = ∠FBA.

Thus, the missing proof will be ∠FAB = ∠FBA.

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