The table shows the grading scale for Ms. Gray's social studies class.



A 90%–100%

B 80%–89%

C 70%–79%



Part A: Pick a number between 21 and 29. This number will represent how many points you earned. If you have a pop quiz worth a total of 30 points, using the number you selected, calculate the percentage you earned on the test. Show each step of your work. (8 points)


Part B: Based on the percentage found in Part A, would you earn a grade of A, B, or C using the grading scale provided? Explain your answer

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer: c

when you square a number you multiply it by itself

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer:

rectangular cake

Step-by-step explanation:

6.45 written as a fraction is 645/100.

645/100 can also be written as 6 45/100

*proof*

100x6=600

600+45=645

So, therefore

6.45 as a mixed number is 6 45/100.

Hope this helps!

The algebraic expression for half of a number is x/2.

When we are working in algebra and we want to represent "a number", we use a variable for it.

We do this because "a number" can be any real number.

For example, we can say that a number is represented by the variable x.

Now, to write half of a number, we just need to divide our variable by 2, then we will get:

x/2

That is the algebraic expression.

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Answer:

the expression equal to this is 20 X /25 is the answer for the expression is 4 x/ 5

Step-by-step explanation:

It must change systematically when the independent variable is changed for an extraneous variable to become a confounding variable that is option D.

This is because a confounding variable is a variable that is related to both the independent and dependent variables and affects the outcome of the study, making it difficult to determine the true effect of the independent variable. In order for a variable to be considered a confounding variable, it must change systematically with changes in the independent variable.

A confounding variable is a variable that affects the outcome of a study but is not the variable of interest. This can create ambiguity in the results and make it difficult to determine if the observed effect is due to the independent variable or the confounding variable. In order for a variable to be considered a confounding variable, it must change systematically with changes in the independent variable.

This means that as the independent variable changes, the confounding variable also changes in a predictable way. Without controlling for this variable, the study may not accurately reflect the true effect of the independent variable. Therefore, it is important to identify and control for confounding variables in a study to ensure that the results are valid and reliable.

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She should order 8 large pizzas to serve 36 guests.

We know that two large pizzas serve 9 people. To determine the number of pizzas she should order to serve 36 guests, we can set up a proportion:

2 pizzas / 9 people = x pizzas / 36 people

Cross-multiplying, we get:

2 * 36 = 9 * x

72 = 9x

Dividing both sides of the equation by 9, we find:

x = 8

Therefore, she should order 8 large pizzas to serve 36 guests.

To serve 36 guests, she should order 8 large pizzas based on the information that two large pizzas serve 9 people.

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Answer:

238 D

Step-by-step explanation:

238 lol. 34 times 7 is 238

Answer:

D. There are 238 peanuts in each box.

Step-by-step explanation:

It is simple:

34x7=238

Please can I have brainliest I need 2 more brainliest to lvl up, so can I please, please, please have brainliest?!

Answer:

5

Step-by-step explanation:

(7 × 8) − (35 + 12) − (2 × 2)

Solve the operations in the brackets

(56) − (47) − (4)

Subtract

9 − 4

5

I hope this helps!

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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Answer:

ok it is 4 7 9 10

Step-by-step explanation:

because I know that

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

The positive value of tan(1/2)y, with cos y = 8/9, can be expressed as √(1 + cos y) / √(1 - cos y), which simplifies to √(17 + 8√7) / √(17 - 8√7).

We are given that cos y = 8/9. The half-angle identity for tangent states that tan(1/2)y = ±√((1 - cos y) / (1 + cos y)). Since we are looking for the positive value, we can ignore the negative sign. Plugging in the given value of cos y, we have tan(1/2)y = √((1 - 8/9) / (1 + 8/9)).

To simplify the expression, we rationalize the denominators by multiplying both the numerator and denominator by the conjugate of each. Multiplying the numerator and denominator by √(1 + cos y) results in √((1 - cos y) * (1 + cos y)) / √((1 + cos y) * (1 - cos y)). Simplifying further, we get √((1 - \((8/9)^2\)) / (1 - \((8/9)^2\))).

Now, substituting the given value of cos y = 8/9, we have √((1 - \((8/9)^2\)) / (1 - \((8/9)^2\))) = √((1 - 64/81) / (1 - 64/81)) = √((17/81) / (17/81)). Simplifying the expression gives us the final answer as √(17 + 8√7) / √(17 - 8√7), which is the positive value of tan(1/2)y with a rational denominator.

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Answer:

It Is9

Step-by-step explanation:

Answer:

130.5 square inches bet you wont put me brainliest

Step-by-step explanation:

area of regular pentagon  = (½)(apothem)(perimeter)

apothem = 6 inch

perimeter =5* 8.7 =43.5

area of regular pentagon = ½ * 6 * 43.5 = 130.5 square inches

Answer:

There are 16 boxes of vegetables

Step-by-step explanation:

The boxes that contained fruit

1/3 * 60 = 20

The boxes that contained meat

2/5 * 60 = 24

Assuming that we only have fruit, meat, and vegetables

60-20-24 = 16

There are 16 boxes of vegetables

9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  \(\log_3(y)=n\cdot\log_3(x)+\log_3(a)\)

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

Answer:  4, 24

Step-by-step explanation:

Set smaller number as x, and y be the larger number.

Through the questions, we can get the equation:

                                 y = 5x + 4

(5x + 4) + 6 = 3(x + 6)         [5x+4 is the first resulting number according to the                      question.]

5x + 10 = 3x + 18                [Minus 2 from both side]

2x + 10 = 18                        [Minus 10 from both side]

2x = 8                                 [Divide 2 from both side]

x = 4

Plug in x = 4 to the equation, y = 5x + 4

y = 5x + 4

  = 5(4) + 4

  = 24

The value of x and y are 4 and 24 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

One number is 4 more than 5 times another number.

Let smaller number be = x

and, larger number be = y

Then according to the question : y = 5x + 4

(5x + 4) + 6 = 3(x + 6)  

Opening bracket and multiply 3 :

5x + 4 + 6 = 3x + 18

arranging like terms :

5x - 3x = 18 - 10          

2x= 8

Divide both side by 2 :

x = 8/2

x = 4

Now, substitute x = 4 to the equation, y = 5x + 4

y = 5x + 4

 = 5(4) + 4

 = 24

Therefore, the value of x and y are 4 and 24 respectively.

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The answer to 326*8546 is 2,785,996

The difference quotient measures the rate of change of a function as h approaches 0. Given the function f(x) = 2x²-3x + 1, we can calculate the difference quotient f(x + h)-f(x) / h.

a. f(x + h): Substitute x + h into the function f(x) to obtain f(x + h) = 2(x + h)²-3(x + h) + 1.

b. f(x + h)-f(x): Subtract f(x) from f(x + h) to find the difference between the two function values.

c. f(x + h)-f(x) / h: Divide the difference by h.

The resulting expression for the difference quotient is:

[2(x + h)²-3(x + h) + 1 - (2x²-3x + 1)] / h.

Simplifying this expression further would involve expanding and collecting like terms, but without a specific value for x or h, it is not possible to provide a numerical answer.

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AnswerIts null

Step-by-step explanation:

bank

Answer:

x = 4

Step-by-step explanation:

These triangles are similar by the AA Similarity Postulate.

12 + 4 = 16

(5x - 2)/12 = 6x/16 (3x/8)

Cross multiply: 8(5x - 2) = 12(3x)

40x - 16 = 36x

4x - 16 = 0

4x = 16

x = 4

Answer:

-13

Step-by-step explanation:

gradient = change in y/change in x

change in y = 6- -7=13

change in x = 1-2 = -1

gradient = 13/-1 = -13

Answer:

To find the slope using the formula, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

- The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Tell me if you want the answer of what the slope is. Although, it would be better for you to work it out yourself!

Hope that helps. x

The probability of the given question under the condition that  n = 49, µ = 75, and σ = 6 is 0.9599.

Probability refers to the measure of how many events that occur at random are likely to occur. It is considered as a branch of mathematics which deals with occurrence of unexpected events taking place. Given the event has a probability of 1 then the event will surely happen in some time.

therefor,

z = (x' - μ)/(σ/\(\sqrt{n}\))

z = ( 76.5 - 75) /(6/\(\sqrt{49}\))

z = 1.75

with the help of standard distribution table we can find

P( x_bar < 76. 5) = 0.9599.

The probability of the given question under the condition that  n = 49, µ = 75, and σ = 6 is 0.9599.

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the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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Answer:

360°÷9

Step-by-step explanation:

All exterior angles should add up to 360°.

The nonagon is a regular polygon hence all the exterior angles are the same size.

∴ 360°÷9= 40°