For the pair of similar solids, find the value of the variable.
A. 3 cm
B. 18 cm
C. 16 cm
D. 2 cm

Answer:

2.25 long of riding a bicycle

Answer:

2.25

Step-by-step explanation:

The dimensions of the rectangle that has an area of 35 square meters are: 5 m by 7 m.

Let's assume that the width of the rectangle is "w" meters.

According to the problem statement, the length of the rectangle is 8 meters less than three times the width, which can be expressed as:

length = 3w - 8

The area of a rectangle is given by the product of its length and width, so we can write:

area = length × width

Substituting the expressions for length and area, we have the following:

35 = (3w - 8) × w

35 = 3w² - 8w

3w² - 8w - 35 = 0

Factorize:

(3w + 7)(w - 5) = 0

w = -7/3 or w = 5

Since the width cannot be negative, we reject the solution w = -7/3. Therefore, the width of the rectangle is 5 meters. Using the expression for the length that we derived earlier, we can find the length as:

length = 3w - 8 = 3(5) - 8 = 7

So the dimensions of the rectangle are 5 m by 7 m.

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Answer:

64

Step-by-step explanation:

Answer:

64 Is the answer easy

Step-by-step explanation:

64 is the answer

Answer:

Two examples of points that satisfy this condition is (0,5) and (0,-5).

Step-by-step explanation:

Suppose we have two points:

\(A = (x_{1}, y_{1})\)

\(B = (x_{2}, y_{2})\)

The distance between these points is:

\(D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

In this question:

B(0,0)

A(x,y)

We have to find x and y.

We have that:

\(\sqrt{(x-0)^{2} + (y-0)^{2}} = 5\)

\(\sqrt{x^{2} + y^{2}} = 5\)

\((\sqrt{x^{2} + y^{2}})^{2} = 25\)

\(x^{2} + y^{2} = 25\)

One example of a point:

I will say that x = 0. So

\(0^{2} + y^{2} = 25\)

\(y = \pm \sqrt{25}\)

\(y = \pm 5\)

So two examples of points that satisfy this condition is (0,5) and (0,-5).

The distance formula is a formula that is used to find the distance between two points.

The coordinate of point A is (0, 5)  or   (0, -5).

Let us consider that, coordinate of point A is (x, y).

The distance between (0,0) and (x, y) is computed as by using distance formula.

                 \(Distance=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\5=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\x^{2} +y^{2}=25\)

All values that satisfies above equation, will be the coordinate of point A.

When x = 0,  

                \(y=\sqrt{25} =\pm 5\)

The coordinate of point A is (0, 5)  or   (0, -5).

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Answer:

\(g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}\)

Step-by-step explanation:

The inverse of a function has \(x\) and \(y\) values switched from the original function. Therefore, simply switch \(x\) and \(y\) and isolate \(y\) to get your inverse function:

Original function: \(g(x)=41x^3+a\)

Switching \(x\) and \(y\), then isolating \(y\):

\(x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}\).

Therefore, the inverse of the \(g(x)=41x^3+a\) is:

\(\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}\).

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

The distributive property is given as:

a(b + c) = ab + ac

3(20 + 16) = 3(20) + 3(16) = 60 + 48 = 108

Also:

4(13 + 14) = 4(13) + 4(14) = 52 + 56 = 108

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

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The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

8

Step-by-step explanation:

its simple math matebfnfjf

Answer:

:)

Step-by-step explanation:

ih

Solving for y

y=5/2 + 3x/2

Solving for x

x=-5/3 + 2y/3

According to the factor form of the quadratic equation 4 · x² - 484, x = - 11 and x = 11 are the lesser x and the greater x of the expression.

Herein we find a quadratic equation of the form a² · x² - b², whose factor form is introduced below by means of algebra properties:

a² · x² - b² = a² · (x² - b² / a²) = a² · (x - b / a) · (x + b / a)

Where - b /a is the lesser x and + b / a is the greater x.

If we know that a² = 4 and b² = 484, then the roots of the quadratic equation are:

4 · x² - 484 = 4 · (x - 11) · (x + 11)

The lesser x and the greater x are - 11 and 11, respectively.

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The price should be higher than the AVC and ATC in order to make a profit in the short term. Therefore, in order to achieve the requisite profit, the MR curve must rise above cost = 7.

When businesses in a cutthroat sector start making money, it opens the door for more businesses to enter the market, which leads to a shift to the right in the supply curve, a drop in price, and the return of all businesses to a state of no economic profit.

If the market price is lower than the average total cost, a company will experience positive economic profit in the short term.

In the short run, a monopolistically competitive firm optimises profits or avoids losses by producing the amount where marginal revenue equals marginal cost. If the average total cost is less than the market price, the company will make a profit.

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Answer:

The answer is 3 feet.

Step-by-step explanation:

First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!

Answer:

3 feet

Step-by-step explanation:

To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:

2w + 1, and this is equal to the height, so

2w + 1 = h

Now, we are given the height is 7. We substitute 7 where the height, h, is.

2w + 1 = 7

We can subtract 1 from both sides and divide by 2 to isolate x:

2w + 1 = 7

      -1     -1

2w = 6

w = 3 - the width is 3 feet

The total value of the investment is $107,032.16.

The total interest earned is $53,032.16

The inheritance would last the tenure of the university.

The formula that can be used to determine the future value of the 18-year annuity is: annuity factor x amount deposited yearly

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$3000 x [(1.075^18 - 1) / 0.075] = $107,032.16

Amount deposited in the course of 18 years = (3000 x 18) = 54,000

Interest earned = 107,032.16 - 54,000 = $53,032.16

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Answer:

Third one down

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

3+3+4=10

500/10=50

Jack 50*3=150

Joseph 50*3=150

Emily 50*4=200

Answer:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3

ON=OK+KN=3+1=4

OM=OJ+JM=30+10=40

In triangles OKJ & ONM,

OKOJ=330=110

ONOM=440=110

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means KJNM=110 or the two sides are parallel.

Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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If the company sells more than 3,000 pairs of socks per month, it will make a profit.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To analyze the profit of the Sock Company, we need to consider the total cost and total revenue.

Let's start with the total cost:

The cost per pair of socks is $6.

If x is the number of pairs of socks sold, then the total cost is 6x.

There is also a fixed cost of $12,000 per month.

So, the total cost can be expressed as:

C(x) = 6x + 12,000

Now, let's move to the total revenue:

The selling price per pair of socks is $10.

If x is the number of pairs of socks sold, then the total revenue is 10x.

So, the total revenue can be expressed as:

R(x) = 10x

The profit is the difference between the total revenue and total cost:

P(x) = R(x) - C(x) = 10x - (6x + 12,000) = 4x - 12,000

To find the range of x where the company makes a profit, we need to set P(x) greater than 0:

4x - 12,000 > 0

4x > 12,000

x > 3,000

Therefore, if the company sells more than 3,000 pairs of socks per month, it will make a profit.

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Answer: 2:4 or 1:2

You could also write it in a fraction 1/2

Answer:

2:4

Step-by-step explanation:

We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.

# of red pencils : # of blue pencils

2 red pencils : 4 blue pencils

2:4

I hope this helps!

19 and 8 is the answer of this question ok

Answer:

He can get 5 whole pieces at 3/4 of a foot long because 3/4 times 5 equals 3 and 3/4.

Step-by-step explanation:

Hope this helps . . . <3

I am a little confused by the wording on the question. It says "within the circle" but the image is of 2 squares.

I am just going to answer it as if the question said "probability that a randomly selected point within the square falls in the red shaded square."

So red square area = 3 x 3 = 9.

The area of the bigger square = 4x4 = 16.

The prob of landing in that red square = 9/16 = 0.5625 or approx 56%.

Answer:

the slope is 2/3

Step-by-step explanation:

the line starts at 5(b) and to get a whole number point you go up 2 and over 3.

Answer:

2/3

Step-by-step explanation:

rise over run

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Answer:

5y+16

Step-by-step explanation:

see image below:)

Answer:

5y+16

Step-by-step explanation:

like terms y and y

7y-2y

9+7

5y+16

Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

Faster jet = 650

Slower jet = 650 - 89 = 561

Step-by-step explanation:

Given

total distance apart = 4844

t = 4 hours

r1 = r

r2 = r - 89

Equations

d = r * t

r*t + (r - 89)*t = 4844

Solution

r*4 + (r - 89)*4 = 4844

4r + 4r - 356 = 4844                 Combine the left

8r - 356 = 4844                        Add 356 to both sides

8r = 4844 + 356

8r = 5200                                 Divide both sides by 8

r = 5200/8

r = 650