if the following ratios are in direct ptoportipn find the value of x. 3:5and x:20
​

Answer:

p and m or A. and D.

Step-by-step explanation:

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

Step-by-step explanation:

The surface are of rectangular prism = 140 ft²

Surface area of rectangular prism is given by :

A = 2(lw + lh + wh)

Using trial by error method :

6 feet by 2 feet by 3 feet

A = 2(6*2 + 6*3 + 2*3) = 72ft²

6 feet by 5 feet by 4 feet

A = 2(6*5 + 6*4 + 5*4) = 148 ft²

7 feet by 6 feet by 4 feet

A = 2(7*6 + 7*4 + 6*4) = 188ft²

8 feet by 4 feet by 3 feet

A = 2(8*4 + 8*3 + 4*3) = 136ft²

Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

The trigonometric equation is f ( x ) = 1.5cos ( 16πx ) + 1.5 , when x = 3 feet , the height of the nail from the ground is 3 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

f ( x ) = 1.5cos ( 16πx ) + 1.5

Let the diameter of the tire be x

Let the height of the nail from ground be f ( x )

On simplifying , we get

when x = 3 feet

f ( 3 ) = 1.5 cos ( 16π ( 3 ) ) + 1.5

f ( 3 ) = 1.5 cos ( 48π ) + 1.5

From the trigonometric relation cos ( nπ ) = 1

f ( 3 ) = 1.5 + 1.5 = 3 feet

Hence , the height of the nail from the ground is given by the equation with f ( x ) = 1.5cos ( 16πx ) + 1.5

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The matrix \(A = \begin{bmatrix} \mathbf{a}_1 & \mathbf{a}_2 \end{bmatrix} = \begin{bmatrix} -7 & 0 \\ -5 & 0 \\ 3 & 7 \end{bmatrix}\)

To find the matrix A that induces the transformation T:

\(\mathbb{R}^2 \rightarrow \mathbb{R}^3\),

we need to multiply each of the standard basis vectors of

\(\mathbb{R}^2\)

by the transformation matrix given in the question (\(T\)) and put the results into the columns of the

\(3 \times 2\) matrix \(A\).

Let \(\mathbf{e}_1\) and \(\mathbf{e}_2\) be the standard basis vectors of \(\mathbb{R}^2\).

We have:

\(T(\mathbf{e}_1) = [-7, -5, 3]\)

\(T(\mathbf{e}_2) = [-4, 0, 7]\)

Let \(A = \begin{bmatrix} \mathbf{a}_1 & \mathbf{a}_2 \end{bmatrix}\)

where

\(\mathbf{a}_1\) and

\(\mathbf{a}_2\) are the first and second columns of \(A\), respectively.

Then:

\(T\mathbf{a}_1 = [-7, -5, 3]\)

\(T\mathbf{a}_2 = [-4, 0, 7]\)

Thus, the matrix \(A = \begin{bmatrix} \mathbf{a}_1 & \mathbf{a}_2 \end{bmatrix} = \begin{bmatrix} -7 & 0 \\ -5 & 0 \\ 3 & 7 \end{bmatrix}\)

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In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Answer:

19

Step-by-step explanation:

Answer: $40.80

Step-by-step explanation:

34 x 20% = 6.80

34 + 6.80 = 40.80

The distance between the two points is 14.6 units. The distance is always positive.

What is a point?

A point is a basic concept in classical Euclidean geometry that represents an exact location in space and has no length, width, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.

Given points are (–5,5) and (9.6,5).

The y-coordinate of both points is the same. The distance between two points is the absolute value of the difference of x-coordinates.

The x-coordinate of (–5,5) is -5.

The x-coordinate of (9.6,5) is 9.6.

The distance between points is

|-5 - 9.6| units

=|-14.6| units

= 14.6 units

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Answer:

third angle measures 24°

Step-by-step explanation:

triangles are 180°

add up the first two angles and subtract the sum from 180°

45° + 111° = 156°

180 - 156 = 24

Total number of students ⇢ 15

Average score ⇢95

Maximum score⇢100

Lowest score ⇢ 'x'

For finding the lowest score, we'll assume that rest of the students apart from the student with the lowest score ,scored 100

so,

Thus, the value of x

\( ⇢\frac{x + (14 \times 100)}{15} = 95 \\ \)

\( ⇢\frac{x + 1400}{15} = 95 \\ \)

\( ⇢x + 1400 = 95 \times 15 \\ \)

\( ⇢x + 1400 = 1425 \\ \)

\( ⇢x = 1425 - 1400 \\ \)

\(⇢x = \: 25\)

Hence, the lowest possible score a student can get is 25

The 15 students in Miss Brown's class took a test.

The average for the class was 95 points.

The maximum possible score was 100 points.

Let 14 students get 100 marks on the test. And one student gets x marks.

Then the value of x will be

\(\small\bold\pink{ →}\small\bold{ x + \frac{1400}{15} = 95}\)

\(\small\bold\pink{ →}\small\bold{x + 1400= 1425}\)

\(\small\bold\pink{ →}\small\bold{x = 25}\)

The lowest scored a student in this class is 25.

To find the number of terms needed to approximate the sum of the series within 0.01, we need to consider the convergence of the series. In this case, using the integral test, we can determine that the series converges. By estimating the remainder term of the series, we can calculate the number of terms required to achieve the desired accuracy.

The given series is 1/(n(ln(n))^4, and we want to find the number of terms needed to approximate its sum within 0.01.
First, we use the integral test to determine the convergence of the series. Let f(x) = 1/(x(ln(x))^4, and consider the integral ∫[2,∞] f(x) dx.
By evaluating this integral, we can determine that it converges, indicating that the series also converges.
Next, we can use the remainder term estimation to approximate the error of the series sum. The remainder term for an infinite series can be bounded by an integral, which allows us to estimate the error.
Using the remainder term estimation, we can set up the inequality |Rn| ≤ a/(n+1), where Rn is the remainder, a is the maximum value of the absolute value of the nth term, and n is the number of terms.
By solving the inequality |Rn| ≤ 0.01, we can determine the minimum value of n required to achieve the desired accuracy.
Calculating the value of a and substituting it into the inequality, we can find the number of terms needed to be added to the series to obtain a sum within 0.01.

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Answer: 3

Step-by-step explanation:

4x=2x+6

4x-2x=6

2x=6

x=6/2

x=3

Answer:(d)

Step-by-step explanation:

Given

Function is \(f(x)=x^4\)

If it is reflected about the x-axis it becomes \(-x^4\)

To shift it 3 units to the left it becomes

\(-(x+3)^4\)

option (d) is correct

This is shown in the figure below

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Consider three random variables, U, V, and W. The answer is E(W) = 2.

To solve for E(W), we need to use the fact that U is equal to both 3V+2 and 5W-23. We can set these two expressions equal to each other:

3V + 2 = 5W - 23

Solving for V in terms of W, we get:

V = (5W - 25) / 3

Now we can use the formula for the expected value of a linear function of a random variable:

E(aX + b) = aE(X) + b

In this case, we have:

V = (5W - 25) / 3

So:

E(V) = E((5W - 25) / 3) = (5/3)E(W) - 25/3

We know that E(V) = -5, so we can substitute that in:

-5 = (5/3)E(W) - 25/3

Solving for E(W), we get:

E(W) = (-5 + 25/3) / (5/3) = 2

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Answer:

Step-by-step explanation:

\(n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15\)

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.

Answer:

\(m = 3\) ---- Slopes of QU and AD

\(m =\frac{2}{3}\) ---- Slopes of UA and QD

Sides QU and AD have the same slope

Sides UA and QD have the same slope

Step-by-step explanation:

Given

\(Q = (1, 2)\)

\(U = (2, 5)\)

\(A = (5, 7)\)

\(D = (4, 4)\)

Solving (a): Slope of QU

\(Q = (x_1,y_1)= (1, 2)\)

\(U = (x_2,y_2)= (2, 5)\)

Slope, m is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m =\frac{5-2}{2-1}\)

\(m =\frac{3}{1}\)

\(m = 3\)

Slope of AD

\(A =(x_1,y_1) = (5, 7)\)

\(D = (x_2,y_2) = (4, 4)\)

Slope, m is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m =\frac{4-7}{4-5}\)

\(m =\frac{-3}{-1}\)

\(m = 3\)

Slope of UA

\(A =(x_1,y_1) = (5, 7)\)

\(U = (x_2,y_2)= (2, 5)\)

Slope, m is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m =\frac{5-7}{2-5}\)

\(m =\frac{-2}{-3}\)

\(m =\frac{2}{3}\)

Slope of QD

\(Q = (x_1,y_1)= (1, 2)\)

\(D = (x_2,y_2) = (4, 4)\)

Slope, m is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m =\frac{4-2}{4-1}\)

\(m =\frac{2}{3}\)

Solving (b): Parallel Sides

Two sides are said to be parallel if they have the same slope.

The slope were calculated in (a) above and from there, we have the following observations

1. QU and AD have the same slope of 3

2. UA and QD have the same slope of 2/3

p = 3,500 * 1.025^t

This function can be used to estimate the population of the town after any number of years t, assuming the growth rate remains constant.

An exponential function is a mathematical function of the form f(x) = ab^x, where a and b are constants and b is greater than zero and not equal to 1. The independent variable x is the exponent, and the dependent variable f(x) is the result of raising the base b to the power x, and then multiplying the result by the constant a.

In he question,

To write an exponential function that models the total population p after t years, we can use the formula:

\(p = p0 * (1 + r)^t\)

where p0 is the initial population, r is the annual growth rate as a decimal, and t is the number of years.

In this case, the initial population p0 is 3,500, and the annual growth rate is 2.5%, or 0.025 as a decimal. Therefore, the exponential function that models the population after t years is:

\(p = 3,500 * (1 + 0.025)^t\)

Simplifying this expression gives:

\(p = 3,500 * 1.025^t\)

This function can be used to estimate the population of the town after any number of years t, assuming the growth rate remains constant.

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Answer:

14.5 Meters

Step-by-step explanation:

1 centimeter= 0.01 Meters

1450 cm x 0.01 =14.5

Answer:

x>2

Step-by-step explanation:

2x-3>11-5x

7x-3>11

7x>11

x>2

Answer:

x>2

Step-by-step explanation:

2x-3 > 11-5x

first, add 5x to both sides:

2x-3 +5x > 11-5x +5x

7x-3 > 11

then, add 3 to both sides:

7x-3 +3 > 11 +3

7x > 14

finally, divide both sides by 7:

7x ÷7 > 14 ÷7

x>2

Answer:

2550.5

Step-by-step explanation:

We have a circle and are asked to find the area.

We know the diameter already, but the formula to find area requires a raidus, which is unknown to us yet.

To find radius, all you need to do is follow \(\frac{d}{2}\). D being diameter.

D = 57.

\(\frac{57}{2}= 28.5\)

The radius is 28.5, now do the formula of area.

\(A = \pi *r^2\)

\(A = \pi *28.5^2\)

\(28.5^2\)

\(812.25\)

\(A=\pi *812.25\)

\(A=3.14 * 812.25\)

\(A = 2550.465\)

Now we need to round to the nearest tenths, since 6 is the knowledge that we round up, round up.

\(2550.5\)

Answer:

√x+6+√x=8

Step-by-step explanation:

√x+√x=2

(√x) 2=2

x=2

Answer:

712.24

Step-by-step explanation:

this is answer

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Answer:

70 mph

Step-by-step explanation:

Here we want to calculate average speed

Mathematically, average speed = Total distance/Total time

Kindly recall distance = speed * time

for the first part;

We have: 60 * 2 = 120 miles

For the second: 4 * 75 = 300 miles

Average speed = (300 + 120)/(4 + 2) = 420/6 = 70 mph