Whatus the Value of (2^3)^2

Answer:

The number of heating degree days is 17 (option c).

Step-by-step explanation:

You know that the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

You know that the high temperature for a day was 51°F and the low temperature for the same day was 45°F.

The mean, also called the average or arithmetic mean, is a measure of central position. In general, the average is calculated by adding all the figures or values ​​presented and dividing them by the total number of values. So, in this case, the average of the high and low temperatures for the day is:

\(\frac{51 F + 45 F}{2}= 48 F\)

The number of heating degree days can be calculated by:

H= 65°F - 48°F

H= 17 °F

The number of heating degree days is 17 (option c).

6 number of stickers diana given to her sister.

A division is a process of splitting a specific amount into equal parts.

Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:

41 ÷ 7 = 5 with a remainder of 6

This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.

She gave the leftover stickers to her sister, so she gave her sister 6 stickers.

Hence, 6 number of stickers  diana given to her sister.

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Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

Answer:

The graphs are parallel

Step-by-step explanation:

Equation one and equation two has the same gradient therefore their graphs are parallel

The most responsible choice for Nick regarding his birthday money would be option C, which is to use all the money to pay down his credit card debt.

This is because credit card debt  generally comes with high- interest rates, and it can be  grueling  to pay off the debt if the interest keeps adding up. By using the$ 500 to pay down his credit card debt, Nick can reduce the  quantum he owes and, as a result, pay  lower interest in the long run.   Options A and D suggest  unyoking the  plutocrat between paying down debt and investing/ saving, which may not be the stylish choice given Nick's current  fiscal situation.

Option B suggests putting all the  plutocrat into a savings  regard with a lower interest rate, which would not be as effective in reducing his credit card debt. thus, option C is the most responsible choice for Nick.

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All the correct statements are,

⇒ ∅ ⊂ R

⇒ {... , - 5, - 4, - 3, - 2} ⊆ T

⇒ T ⊂ I

⇒ 0 ∈ I

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

For ∅ ⊂ R;

A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition.

Hence, We get;

⇒ ∅ ⊂ R

For 6 ∈ T;

Since T is the set of negative integers less than - 1.

Hence, 6 ∉ T

For {... , - 5, - 4, - 3, - 2} ⊆ T

The set on the left is exactly what is defined on the problem statement for T. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be equal to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

Hence, {... , - 5, - 4, - 3, - 2} ⊆ T

For T ⊂ I;

Clearly, T is the set of negative integers less than - 1.

Hence, It is subset of integers.

Hence,  T ⊂ I

For 0 ∈ Z;

Zero is indeed an integer thus it is an element of Z.

Hence, 0 ∈ Z

For R ⊂ T

Since, T is the set of negative integers less than - 1.

So, Not all real numbers are some integers. Some real numbers do not meet this criteria.

Hence, R ⊄ T

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The complete question is shown in figure.

Answer:

there is no number that can do that the closest you can get is 7 and 7 giving you 49 when multplied

Step-by-step explanation:

Answer:

10 × 2 × 2 = 50

10 + 2 + 2 = 14

the transformation that includes a reflection of f(x) = (x - 1)² + 1 over the y-axis is f'(x) = 0.3((x - 1)² + 1).

Why it is?

The transformation that includes a reflection of f(x) = (x - 1)² + 1 over the y-axis is the transformation of the form f'(x) = f(-x) that replaces x with -x in the original function f(x).

Let's examine the answer choices:

a. f'(x) = 3((x - a)² + 1) does not involve a reflection over the y-axis, so it is not the correct transformation.

b. f'(x) = (0.1x - 1)² + 1 does not involve a reflection over the y-axis, so it is not the correct transformation.

c. f'(x) = (-4x - 1)² + 1 involves a reflection over the y-axis because the coefficient of x is negative. However, this transformation does not preserve the vertex of the parabola (which is at x = 1 in the original function), so it is not the correct transformation.

d. f'(x) = 0.3((x - 1)² + 1) involves a reflection over the y-axis because it is of the form f'(x) = f(-x) where f(x) = (x - 1)² + 1. In this transformation, the coefficient of (x - 1)² is multiplied by 0.3, so the graph of f'(x) is compressed horizontally by a factor of 0.3. The vertex of the parabola is still at x = 1, so the transformation preserves the vertex. Therefore, the correct answer is (d).

Thus, the transformation that includes a reflection of f(x) = (x - 1)² + 1 over the y-axis is f'(x) = 0.3((x - 1)² + 1).

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The volume of the cone is 1/3.

If a prism and a cone have the same base area and the same height, we can use the formula for the volume of each shape to find the volume of the cone.

The volume of a prism is given by V_prism = base area × height. Since the volume of the prism is given as 1, we can write:

1 = base area × height

The volume of a cone is given by V_cone = (1/3) × base area × height. Since the base area and the height are the same as the prism, we can substitute them into the formula:

V_cone = (1/3) × base area × height = (1/3) × 1 = 1/3

Therefore, the volume of the cone is 1/3.

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Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

Answer:

30 cm^2

Step-by-step explanation:

Area = length times width

Area = 6 * 5

Area = 30 cm^2

Answer:2(6+5)

Step-by-step explanation:

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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What's your question? This is already your submitted quiz on FLVS, I took it earlier today. After you've submitted it and try to resubmit, it will give you different questions with different answers...

Answer:

none of the answers showed up!it’s jut a useless list of questions!

Answer:

x/2 + 7 = -4

Step-by-step explanation:

7 more just means plus 7

a quotient of a number and blank basically is 'a number' (usually x) over a the number given if that makes sense. so in our scenario its x/2

'is' basically means is equal to

put it all together and you get x/2 + 7 = -4

hope this helps <3

Answer:

23.00

Step-by-step explanation:

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip. If you want to leave a 18% tip, multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.

Answer: Anthony should leave a $4 tip.

Step-by-step explanation:

20% = 0.2

So, multiply $20 × 0.2 = $4

Answer:

its right!

Step-by-step explanation:

25 trucks in 5 h

25/5 = 5 trucks an hour

Answer:

\(\frac{1}{2^{n} }\)

Step-by-step explanation:

The rules of exponents state that

\(a^{-m}\) = \(\frac{1}{a^{m} }\) and \(a^{0}\) = 1

Thus

\(2^{-5}\) = \(\frac{1}{2^{5} }\) = \(\frac{1}{32}\)

\(2^{-4}\) = \(\frac{1}{2^{4} }\) = \(\frac{1}{16}\)

\(2^{-3}\) = \(\frac{1}{2^{3} }\) = \(\frac{1}{8}\)

and so on , to

\(2^{0}\) = 1

For a series S, let S=1−19+12−125+14−149+18−181+116−1121+⋯+an+⋯

Both statements I and III are true.

I. S converges because the terms of S alternate and limn→∞ an = 0: In the given series S, the terms alternate between positive and negative values. Additionally, as n approaches infinity, the terms an approach zero. This condition satisfies the alternating series test, which states that if a series alternates in sign and the absolute values of the terms approach zero as n approaches infinity, then the series converges. Therefore, statement I is true.

III. S converges although it is not true that |an+1| < |an| for all n: The convergence of a series depends on the behavior of the terms as a whole rather than the strict inequality |an+1| < |an| for all n. While the given series does not satisfy the condition |an+1| < |an| for all n, it can still converge if the alternating sign pattern and the limit of the terms approaching zero hold. Therefore, statement III is also true.

Statement II is false because it assumes that for a series to diverge, it is necessary for |an+1| to be strictly greater than |an| for all n. However, this is not a universal condition for divergence. There are cases where a series may diverge even if |an+1| < |an| for all n.

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Answer:

acute: 9

obtuse: 2

right: 2

Sorry if it wrong

The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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Answer: k=x^3-2x^2+2x-4/x

Step-by-step explanation: hope this helps!

For a sample of 3 observations collected from continuous distribution with density \( f(x)= \theta x^{ \theta - 1}\) for 0 < x < 1, moments estimate of θ is equals to 1.5.

We have a sample of 3 observations,

\(X_1 = 0.4\)

\(X_2 = 0.7\)

\(X_3 = 0.9\)

Probability density function, \( f(x)= \theta x^{ \theta - 1}\), for 0 < x < 1.

Mean, \(\bar{X} = \frac{ 0.4 + 0.7 + 0.9}{3}\) = 0.6

In the method of moments one sets the sample moments equal to the population moments, and then solves for the parameters to be estimated. In this case there's only one such parameter and one uses only the first moment. Thus, \(E(X) = \int_{0}^{1} x f(x)dx\)

\(= \int_{0}^{1} x (\theta x^{\theta -1} )dx\)

\( =\int_{0}^{1} {\theta}x^{\theta}dx \)

\( = [{\theta } (\frac{x^{\theta + 1}}{\theta + 1})]_{0}^{1}\)

\( = \frac{\theta }{\theta + 1}\)

E(X) is nothing but Expected value which

equal to mean of X. So, \(\bar{X} = \frac{ \theta }{\theta+1}\). This means, \(\theta = \frac{\bar{X}}{ 1 -\bar{X}}\)

So, \(\theta = \frac{0.6 }{ 0.4} = 1.5\). Hence, \(\theta = 1.5\) is the estimate of by the method of moments.

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Answer:

Not 1 or 15

Step-by-step explanation:

Complete question :

A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.

Answer:

($5.99 * g) + ($6.49 * u)

Step-by-step explanation:

Given that :

Cost of gold trophies = $5.99

Cost of uniform baseball trophies = $6.49

Number of gold trophies ordered = g

Number of uniform baseball trophies ordered = u

Total cost :

Cost of trophy * number of trophy ordered

Hence, total cost :

($5.99 * g) + ($6.49 * u)

Answer:

$ 275

Step-by-step explanation:

20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)

(100 * 55) / 20 = 275

Answer:

68.75

Step-by-step explanation:

The answer would be 18.8

The value of the given vector 2v - 4w is [0 -14].

Scalar multiplication:

Scalar multiplication is an operation in linear algebra where a scalar (a single number) is multiplied by each component of a vector. It is used to scale the magnitude and direction of the vector. The scalar can be a real number, a complex number, or any other field element.

To find the vector 2v - 4w, we need to perform scalar multiplication on each vector and then perform vector subtraction.

Given:

U = [-5 3]

v = [4 -3]

w = [2 2]

Scalar multiplication:

2v = 2[4 -3] = [8 -6]

4w = 4[2 2] = [8 8]

Vector subtraction:

2v - 4w = [8 -6] - [8 8] = [8 -6] + [-8 -8] = [0 -14]

Therefore, the vector 2v - 4w is [0 -14].

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Answer:

\( Area = 112.1 m^2 \)

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\( \frac{w}{sin(W)} = \frac{x}{sin(X)} \)

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\( \frac{w}{sin(24)} = \frac{31}{sin(130)} \)

Multiply both sides by sin(24) to solve for x

\( \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) \)

\( w = \frac{31*sin(24)}{sin(130)} \)

\( w = 16.5 mm \) (approximated)

\( XY = w = 16.5 mm \)

Find the area of ∆WXY

\( area = \frac{1}{2}*w*x*sin(Y) \)

\( = \frac{1}{2}*16.5*31*sin(26) \)

\( = \frac{16.5*31*sin(26)}{2} \)

\( Area = 112.1 m^2 \) (to nearest tenth).

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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