Pls answer
woth 28 points!!

Answer:  

Step-by-step explanation:

Add the exponents [tex]x^{2} x^{9} = x^{11}[/tex]

Answer:

Give that the volume of the cylinder is 90cm³, the volume of the cone is (1/3)*90cm³ =30cm³

The answer is 44 houses, none of the given options match the number of three-story houses.

To find the number of three-story houses in the neighborhood, we need to subtract the number of one-story and two-story houses from the total number of houses:

50 - 5 - 1 = 44

So there are 44 three-story houses.

Therefore, the answer is 44 houses. None of the given options match the number of three-story houses.

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Answer:

The sum of angles in a quadrilateral is 360°.

  75° +125° +∠T +60° = 360°

  ∠T = 360° -260° = 100°

Step-by-step explanation:

C = 360 - 260 = 100 The answer is definitely 100 for T as well since the figures are similar. Answer 100 = T <<<<<<<

jcherry99 avatar

R = 75 and A therefore is 75. Now you have 3 angles whose value you know: D, A, and B. These three are 60 75 and 125. (125 is the second best answer). D + A + B = 60 + 75 + 125 = 260

jcherry99 avatar

If the figures are similar, then D = 60 and U = 60

jcherry99 avatar

D is on your left and U is on your left.

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

To find the intersection points of two functions set the two functions equal to each other, simplify the equation using trigonometric identities, and then solved for the values of x that satisfied the equation. And check the values if the given function is satisfied or not.

Here we have

The functions y = cos 2x and y = 1 - sin²x  

And the interval 0 ≤ x ≤ π

To find the x-values where the graphs of the functions y = cos 2x and y = 1 - sin² x intersect over the interval 0 ≤ x ≤ π,

We need to set the two functions equal to each other and solve for x.

So, we have:

cos 2x = 1 - sin² x

Using the identity cos 2x = cos²x - sin² x, we can rewrite this as:

cos²x - sin² x = 1 - sin² x

On Simplifying, we get the:

cos² x = 1

Taking the square root of both sides, we have:

cos x = ±1

Since we're only considering the interval 0 ≤ x ≤ π,

the possible values of x are:

x = 0, π/2, π

Now, we need to check which of these values of x satisfy the original equation:

For x = 0, cos 2x = cos 0 = 1 and 1 - sin² x = 1 - sin² 0 = 1,

So they intersect at x = 0.

For x = π/2, cos 2x = cos π = -1 and 1 - sin² x = 1 - sin² (π/2) = 0,

So they don't intersect at x = π/2.

For x = π, cos 2x = cos 2π = 1 and 1 - sin² x = 1 - sin² π = 1,

So they intersect at x = π.

Therefore,

The graphs of the functions y = cos 2x and y = 1 - sin² x intersect at x = 0 and x = π over the interval 0 ≤ x ≤ π.

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For the given problem, the correct answer is: "Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz."

In the given problem,

It is claimed by cereal manufacturer that the average weight of the cereal in its packets is 14 oz. To test this claim , we may use a hypothesis test in which the null hypothesis (H0) is that the cereal in the packets has a mean weight of 14 oz and the alternative hypothesis (H1) iwill be that it does not.

Assume we run the test and get a result that causes us to reject the null hypothesis (H0). This indicates that we discovered an evidence to support the alternative hypothesis (H1), which states that the average weight of the cereal in the packets is not 14 oz.

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The total number of cups for sugar, juice and fruits are:

5cups of sugar

10 cups of juice

20 of fruits

To adjust the recipe for 30 servings, Joey needs to use proportional reasoning. If the original recipe serves 6, and Joey wants to make 30 servings, he needs to multiply the amount of each ingredient by 5.

Let's say the original recipe requires 1 cup of sugar, 2 cups of juice, and 4 cups of fruit. To find the total amount of each ingredient needed for 30 servings, we need to multiply each ingredient by 5:

1 cup of sugar x 5 = 5 cups of sugar

2 cups of juice x 5 = 10 cups of juice

4 cups of fruit x 5 = 20 cups of fruit

Therefore, Joey needs 5 cups of sugar, 10 cups of juice, and 20 cups of fruit to make fruit salad for 30 servings.

Let's  verify the calculations, we can use the ratio of the ingredients to the total number of servings:

1 cup of sugar : 2 cups of juice : 4 cups of fruit

For 6 servings, the ratio is:

1 cup of sugar x 1 : 2 cups of juice x 1 : 4 cups of fruit x 1 = 1:2:4

For 30 servings, the ratio becomes:

1 cup of sugar x 5 : 2 cups of juice x 5 : 4 cups of fruit x 5 = 5:10:20

Thus, we can see that the ratio is still the same, indicating that the adjusted recipe is correct.

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Answer:

(4/x) - 1 is the way to represent this equation.

The value of x when the tangent intersect is 270 degrees.

The angle theorem between intersecting tangents states that the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.

Therefore,

90 = 1 / 2(x - (360 - x))

90 = 0.5(x - 360 + x)

90 = 0.5(2x - 360)

90 = x - 180

add 180 to both sides of the equation

90 + 180 = x - 180 + 180

x = 270 degrees

Therefore,

x = 270 degrees

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The statement that correctly compares the centers of the distributions is this: D. The mean of East Hills HS is greater than the mean of Southview HS.

The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:

East Hills HS

25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4

= 875

Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25

Mean = 875/25

35

Southview

25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2

= 725

Frequency = 2 + 6 + 9 + 6 + 2 =25

Mean = 29

So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.

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The bones were approximately 19,070 years old at the time they were discovered.

We can involve the recipe for remarkable rot to take care of this issue, which relates the underlying measure of a substance to the sum staying after a specific time has passed:

[tex]N = N_{0} * e^{-kt}[/tex]

where N is the amount remaining after time t, N₀ is the initial amount, k is the decay constant, and e is the mathematical constant approximately equal to 2.71828.

We are aware that carbon-14 has a half-life of 5750 years, which indicates that half of the initial amount will have decomposed within 5750 years. As a result, the following equation can be used to determine the decay constant:

log(2)/t(1/2) = k

where ln(2) is the natural logarithm of 2, and t(1/2) is the half-life of carbon-14 in years.

Substituting the given values, we have:

log(2)/5750 = k

k = -0.000120968

Now we can use the fact that the bones have lost 82.5% of their carbon-14 to find how much time has elapsed since they were alive. Let N₀ be the initial amount of carbon-14, and let N be the amount remaining, which is 17.5% of N₀:

N = 0.175*N₀

We can use the formula for exponential decay to relate N to N₀:

[tex]N = N_{0} *[/tex] [tex]e^{-kt}[/tex]

Substituting the given values, we have:

[tex]0.175*N_{0} = N_{0}[/tex] * [tex]e^{-0.000120968t}[/tex]

Dividing both sides by N₀, we get:

[tex]0.175 = e^{-0.000120968t}[/tex]

Taking the natural logarithm of both sides, we get:

log(0.175) = -0.000120968t

Solving for t, we have:

t = log(0.175)/(-0.000120968) = 19,070.27 years

Therefore, the bones were approximately 19,070 years old at the time they were discovered.

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The point prevalence of hypertension among those individuals prescribed the drug is 0.58200

Point prevalence of hypertension among those individuals prescribed the drug

=17620/30276

=0.58200

Option C is correct(0.58200)

The percentage of a population that is afflicted by a specific illness or condition at a particular period is known as point prevalence.

To find out how a disease or condition affects a community, this method is used by epidemiological studies.

For instance, the point prevalence of diabetes in a group would be 5% if studies showed that at a given moment, 5 out of 100 people in that population had the ailment.

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Answer:

PQRS is a rhombus with S2 =35° calculate the size of all interior angles

Over the life of the loan, you will pay a total of $7,195.20 in interest.

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

Monthly Payment = Loan Amount × [Interest Rate / (1 - (1 + Interest Rate) ^-Term)]

Plugging in the values provided, you get:

Monthly Payment = 23,215 × [0.0499 / (1 - (1 + 0.0499) ^-60)]

Monthly Payment = $451.02

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment × Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid = (451.02 × 60) - 23,215

Total Interest Paid = $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Over the life of the loan, you will pay a total of $7,195.20 in interest.

What is payment?

Payment is a transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can be made in many different forms, such as cash, credit card, or bank transfer. Payment is an essential part of doing business, and it is important to ensure that all parties involved are clear on the terms and conditions of the payment.

Your monthly payment for the car loan will be $451.02. To calculate this, you can use the following formula:

[tex]Monthly \: Payment \: Loan \: Amount × \: [Interest \: Rate \: / \: (1 - (1 + \: Interest \: Rate) ^{-Term})][/tex]

Plugging in the values provided, you get:

Monthly Payment [tex]23,215 [0.0499/(1 - (1+ = 0.0499) ^{-60})][/tex]

To calculate the total amount of interest you will pay over the life of the loan, you can use the following formula:

Total Interest Paid = (Monthly Payment Term) - Loan Amount

Plugging in the values provided, you get:

Total Interest Paid (451.0260) - 23,215

= Total Interest Paid $7,195.20

Therefore, over the life of the loan, you will pay a total of $7,195.20 in interest.

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Answer:

640.75

Step-by-step explanation:

2563/4 = 640[tex]\frac{3}{4}[/tex] = 640.75

Answer:

the result of 2563/4 is 641 with a remainder of 3. We can also express this as a mixed number:

2563/4 = 640 3/4

Answer:

The answer is 8 6/11

The figure in which ∠1 is congruent to <2 is figure 2.

In Mathematics and Geometry, the vertical angles theorem is sometimes referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to geometric figure 2, we have the following congruent angles:

m∠1 = m∠2 (same side interior and exterior angles are congruent).

In this context, we can reasonably infer and logically deduce that angle 1 is congruent to angle 2 in geometric figure 2 only.

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The correct null hypothesis for this question is H0 : μ = 48° and H1 : μ ≠ 48°

What is null hypothesis ?

In statistical hypothesis testing, the null hypothesis (H0) is a statement that there is no significant difference between a specified population parameter (such as μ) and a hypothesized value (such as 48° F in this case).

The alternative hypothesis (H1), on the other hand, is a statement that there is a significant difference between the population parameter and the hypothesized value. For this particular scenario, the null hypothesis is H0 : μ = 48° F, which means that the refrigerators are maintaining the true mean temperature of 48° F as they are supposed to. The alternative hypothesis is H1 : μ ≠ 48° F, which means that the refrigerators are not maintaining the true mean temperature of 48° F, as claimed by the owner of the brewery.

To test these hypotheses, a sample of refrigerator systems can be taken and their mean temperature can be calculated. If the sample mean is significantly different from 48° F, then the null hypothesis can be rejected in favor of the alternative hypothesis, indicating that the refrigerators are not maintaining the desired temperature.

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The time(s) that the projectile to reach a height of 80 ft is 3.5 s and time to return to the ground is 1.5 seconds.

The equation of motion of the projectile is given as;

s = -16t² + v₀t

where;

when the height reached = 80 ft, the time of motion is calculated as;

-80 = -16t² + 32t

16t² - 32t - 80 = 0

t = 3.5 seconds or t = -1.5 seconds

Based on the negative sing, we can conclude that the time to return to the ground is 1.5 seconds.

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Therefore, the remainder when P(x) is divided by x - 5 is 3128.

The algebraic Remainder Theorem asserts that when a polynomial P(x) is divided by x-a, the division's remainder equals P(a). In other words, we can replace a for x in the polynomial and evaluate it if we have a polynomial P(x) and we want to know the remainder after it is divided by x-a. The remainder of the division will be the value.

Here,

So to find the remainder when P(x) is divided by x - 5, we need to evaluate P(5).

P(x) = 5x⁴ + 5x³ - 2x² - 5x + 3

P(5) = 5(5)⁴ + 5(5)³ - 2(5)² - 5(5) + 3

P(5) = 3128

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We can start by multiplying the numerators and denominators separately:

(2x - 2) / 21 * 49 / (1 - x)

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

Notice that (1 - x) = -(x - 1), so we can simplify the expression further:

= [(2(x - 1)) / 21] * [49 / -(x - 1)]

= [(2(x - 1)) / 21] * [49 / (x - 1)]

= [2 * 7] / [3 * (x - 1)]

= 14 / (3x - 3)

Therefore, the simplified expression is 14 / (3x - 3).

The perimeter of the regular polygon is approximately 61.2 m

The area of the regular polygon is approximately 282.8 m²

From the question, we are to determine the perimeter and area of the given polygon.

The given polygon is an octagon.

Consider the right triangle drawn in the octagon. The length of a side of the regular octagon is twice the length of the base of the right triangle.

Let the base of the right triangle be b.

In the triangle, the measure of the angle close to the center of the octagon is 22.5° (That is, (360° / 2) ÷ 2).

From SOH CAH TOA,

We can write that

sin (22.5°) = b/10

b = 10 × sin (22.5)

Length of a side of the octagon = 2 × 10 × sin (22.5)

Thus,

Perimeter of the octagon = 8 × 2 × 10 × sin (22.5)

Perimeter of the octagon = 61.2293

Perimeter of the octagon ≈ 61.2 m

Area of the octagon,

Area of a regular octagon = (Perimeter × Apothem) / 2

|Apothem|² = 10² - (10 × sin (22.5))²

|Apothem|² = 100 - 14.64466

|Apothem|² = 85.35534

|Apothem| = √85.35534

|Apothem| = 9.2388

Thus,

Area of the octagon = (61.2293 × 9.2388) / 2

Area of the octagon = (565.68525684) / 2

Area of the octagon = 282.8426

Area of the octagon ≈ 282.8 m²

Hence,

The area is 282.8 m²

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The correct option is the third one, it can be written as the equation:

y = A*(1 - 0.073)ˣ

A general exponential decay can be written as:

y = A*(b)ˣ

Where A is the initial value, and b is the base.

It is an exponential decay only if 0 < b < 1.

From the given options, the one that can be modeled with an exponential decay is a car whose price depreciuates at a rate of 7.3% per year, because if the initial price of the car is A, we can write it as:

y = A*(1 - 0.073)ˣ

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For the estimated regression equation,

1. SST = 1946  SSR = 1602.747   SSE =  343.256

2. coefficient of determination r² = 0.824

3. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. Option D

Looking at the estimated regression equation, Start by getting the Predicted Scores, which are;

21.257525 + 0.327425 x 180 = 80.194025

21.257525 + 0.327425 x 150 = 70.371275

21.257525 + 0.327425 x 95 = 52.3629

21.257525 + 0.327425 x 70 = 44.177275

21.257525 + 0.327425 x 70 = 44.177275

21.257525 + 0.327425 x 35 = 32.7174

Step 2, find mean

Mean = (74 + 73 + 59 + 56 + 38 + 24) / 6 = 54

SST = Σ(yi - y_mean)²

SST = (74 - 54)² + (73 - 54)² + (59 - 54)² + (56 - 54)² + (38 - 54)² + (24 - 54)² =1946

SSR = Σ(yi_predicted - y_mean)²

SSR = (80.194025 - 54)² + (70.371275 - 54)² + (52.3629 - 54)² + (44.177275 - 54)² + (44.177275 - 54)² + (32.7174 - 54)² = 1602.74660285

SSE = Σ(yi - yi_predicted)²

(74 - 80.194025)² + (73 - 70.371275)² + (59 - 52.3629)² + (56 - 44.177275)² + (38 - 44.177275)² + (24 - 32.7174)² = 343.255852847

r² = SSR / SST =  1602.747/1946 = 0.82361099691

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3}x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -3 and it passes through (-2 , 5)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-2)}) \implies y -5 = - 3 ( x +2) \\\\\\ y-5=-3x-6\implies {\Large \begin{array}{llll} y=-3x-1 \end{array}}[/tex]