use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4

Answer:

1) Jada does not have 90% of the total possible points before the final test.

2) If Jada gets at least 92 out of 100 on the final test, she will not get an A in the class.

From the following table of Jada’s results before the final test in the class the total number of points possible:

150 + 100 + 100 + 100 = 450

And Jada’s total points before the final test:

141 + 87 + 81 + 91 = 400

To check whether Jada have 90% of the total possible points before the final test, we find the percentgae of  Jada’s total points.

(400/450) × 100 = 88.89%

This means, Jada does not have 90% of the total possible points before the final test.

After final test, the total number of points possible:  450 + 100 = 550

And if she gets at least 92 out of 100 on the final test, her total points would be,

400 + 92 = 492    

And the percentgae of  Jada’s total points would be,

(492/550) × 100 = 89.45%

Given that Jada needs to have at least 90% of the total number of points possible.

so, she will notl get an A in the class.

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Answer: x=5

Step-by-step explanation:

Take 5 and you can see that's it's about equal to x

Answer:

70 TIMES 10 IS (700), THATS YOUR ANSWER!

Step-by-step explanation:

The theoretical probability is given by 1 over the number of hobbies.

If there is a total of 8 hobbies, the probability of a student having a specific hobby is:

The experimental probability is given by the number of students with that hobby over the total number of students. If 3 students have the hobby roller skating among the 24 students surveyed, the probability is:

Answer:

im jus trying to get points lol

Step-by-step explanation:

The set of all FIU students would be the entire population of FIU students, which includes every individual who is currently enrolled as a student at Florida International University.

This would include undergraduate and graduate students, full-time and part-time students, and students of all majors and programs. The set would be a complete representation of the entire FIU student body, including all of its characteristics and attributes.

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The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.

Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.

To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.

However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.

Therefore, the largest value is 95.

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The absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that the length is 8.9 mm with a tolerance of 0.15mm.

The absolute inequality will be written as below:-

x ≥ | 8.9 ± 0.15 |mm

The compound inequality will be written as:-

x  > 8.75,

x < 9.05.

Therefore, the absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

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Answer:

25

Step-by-step explanation:

(-4 + 9) x (8 - 3)

= (5) x ( 5)

= 25

\(\huge\text{Hey there!}\)

\(\mathsf{(-4 + 9) \times (8 - 3)}\\\\\mathsf{-4 + 9 = \boxed{\frak 5}}\\\mathsf{8 - 3 = \boxed{\frak 5}}\\\\\mathsf{= (-4 + 9) \times (8 - 3)}\\\mathsf{= 5\times5}\\\mathsf{= 25}\)

\(\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{25}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

IT HAS 4 MORE THAN

Step-by-step explanation:

IT IS BCUZ HEXAGON HAS 6

DECAGON- 10

10-6=4

Answer:

yes but no a statistical question is determined by requiring multiple data

Step-by-step explanation:

Answer:

well A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.

Step-by-step explanation:

mark braniliest pls

Answer:

x = -2

Step-by-step explanation:

\(9x+10=-8~(Given)\\\\9x+10-10=-8-10~(Subtract~10~on~both~sides)\\\\9x=-18~(Simplify)\\\\\frac{9x}{9}=\frac{-18}{9}~(Divide~9~on~both~sides)\\\\x=-2~(Simplify)\)

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Step-by-step explanation:

Volume of Sphere

= 4/3πr³

= (4/3)(3.14)(60/2)³

= 113,040ft³.

The diameter of the sphere is 60 ft

Volume of sphere = 4/3πr³

= (4/3)(3.14)(60/2)³

= 113,040ft³

The volume of the given sphere is 113,040ft³

There is a 16.7% chance or probability  of selecting three state flags without replacement, where all three flags have only two colors.

To calculate the probability of selecting three state flags with only two colors, we first need to determine how many state flags meet this criteria. Out of the 50 state flags in the United States, there are only three flags that have two colors - Maine, Maryland, and Missouri.
Now that we know there are only three possible flags to choose from, we can calculate the probability of selecting all three with only two colors.
When we randomly select the first flag, there are three possible flags to choose from. However, only one of them has only two colors. Therefore, the probability of selecting a flag with two colors on the first try is 1/3.
After the first flag is selected, there are only two flags left that meet the criteria. Therefore, the probability of selecting a second flag with two colors is 1/2.
Finally, after the second flag is selected, there is only one flag left that meets the criteria. Therefore, the probability of selecting the third flag with two colors is 1/1 (or simply 1).
To calculate the probability of all three events happening together (selecting three flags with only two colors), we need to multiply the probabilities of each event together.
Therefore, the probability of selecting three state flags without replacement, where all three flags have only two colors, is:
1/3 x 1/2 x 1/1 = 1/6 or approximately 0.167.
In simpler terms, there is a 16.7% chance of selecting three state flags without replacement, where all three flags have only two colors.

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The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Answer:

b

Step-by-step explanation:

Answer:

6 or 16

Step-by-step explanation:

math is math

Answer:

<S = 62 degrees

Step-by-step explanation:

For this problem, you need to understand two things.  A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees.  With that said, let's continue.

<S + <P + <Q = 180

<S + 90 + 28 = 180

<S + 118 = 180

<S = 62

Hence, <S = 62 degrees.

Cheers.

The 100 students from a large university represent a sample.

In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.

In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.

It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.

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For the equation x^3 + 27y^4 = In  y' at (-3, 1) is -27/107 by using implicit differentiation y' = 3x^2 / (y - 108y^3).

To find y' using implicit differentiation and then evaluate y' at (-3,1) for the given equation x^3 + 27y^4 = ln(y), follow these steps:

1. Differentiate both sides of the equation with respect to x, remembering to apply the chain rule when differentiating with respect to y.

d/dx(x^3) + d/dx(27y^4) = d/dx(ln(y))

2. Apply the chain rule on the right-hand side:

3x^2 + 27(4y^3)(dy/dx) = (1/y)(dy/dx)

3. Solve for dy/dx (which is y'):

dy/dx(y - 108y^3) = 3x^2

y' = dy/dx = 3x^2 / (y - 108y^3)

4. Evaluate y' at (-3, 1):

y'(-3, 1) = 3(-3)^2 / (1 - 108(1)^3)

y'(-3, 1) = 27 / (-107)

So, y' = 3x^2 / (y - 108y^3), and y'(-3, 1) = -27/107.

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Answer:

1 out of 13

Step-by-step explanation:

Answer:

k=3.5

Step-by-step explanation:

1. Understand which lines are similar in the triangles. In this case, because we can see that the line YX is a hypotenuse and line QP is a hypotenuse we can see that YX and QP are similar. Therefore, we can see that YZ is similar to QR and ZX is similar to RP.

2. For finding an unknown side for similar triangles, you use the equation \(\frac{x}{y} =\frac{a}{b\\}\) where x(also known as k) is the unknown side (QR), y is the similar side to the unknown(YZ), a is a known side(Let's use RP), and b is the similar side to the known side (In this cause, it would be ZX).

2. Plugging all the sides into the equation, it should turn into \(\frac{x}{10.5} =\frac{5.5}{16.5}\).

3.After cross-multiply, you should get 16.5x=10.5×5.5 or 16.5x=57.75.

4. Then by dividing 16.5 on both sides, you should get 3.5

There are 130 marbles in the bag. Given Data Ratio of the number of red marbles to the number of blue marbles = 4 : 7. Ratio of the number of blue marbles to the number of purple marbles = 2 : 3. There are 32 red marbles in the bag.We need to find out the total number of marbles in the bag.

First, we need to find out the number of blue marbles. Let's assume that there are 4x red marbles in the bag, then we can write the number of blue marbles as 7x according to the given ratio of red marbles to blue marbles.

Now, let's use the second ratio to find out the number of purple marbles. We know that the ratio of blue marbles to purple marbles is 2 : 3, which means for every 2 blue marbles, there are 3 purple marbles. Therefore, we can write the number of purple marbles as (3/2)×7x = 10.5x.

Now, we know the number of red, blue, and purple marbles. We are given that there are 32 red marbles. Therefore, we can write the following equation:

4x = 32

⇒ x = 8

Substituting the value of x in our calculations above, we get the number of blue marbles as:7x = 7×8 = 56And the number of purple marbles as:

(3/2)×7x

= (3/2)×7×8

= 42

Now, we can find the total number of marbles as the sum of the number of red, blue, and purple marbles:

Total number of marbles = Number of red marbles + Number of blue marbles + Number of purple marbles

= 32 + 56 + 42

= 130

Therefore, there are 130 marbles in the bag.

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The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

2 Slices

Step-by-step explanation:

Divide both Pizza into 5 slices each and

10 Slices divide by 5 people equals 2

The real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

Given equation is x⁴ −6x² +5=0

To find the roots of the given equation by factoring method:

First, Let y=x²

Therefore, the equation becomes: y² -6y +5=0

Factorizing the above equation, we get:(y-5)(y-1)=0

From the above equation, we get two values of y: y=5, y=1

When y=5, x²=5 taking square root on both sides we get x= ±√5

When y=1, x²=1 taking square root on both sides we get x= ±1

Hence the real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

In the comma-separated list, the answer is -√5, 1, √5, -1.

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