Which equation best matches the graph shown below?

Answer:

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Answer:

B

Step-by-step explanation:

Answer:

Ok got it

Step-by-step explanation:

the answers are y = 0.5x + 2.75 and y – 0.5x = 2.75

y = 0.5x + 2.75 and y = 0.5(x + 5.5)

y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

Answer:

| x | -7

---------------

x | x² | -7x

-4 | -4x | 28

x² - 11x + 28 = (x - 4)(x - 7)

Answer:

(a) 105

(b) 105

(c)105

Step-by-step explanation:

(a) You can subtract 75 from 180 to find your answer

(b) This angle is corresponding with (a)

(c) This is a consecutive exterior angle with the 75 degree one in 4th street and King Ave, therefore it will be 105

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Answer:

D. a translation right 10 and up 9

Step-by-step explanation:

In order to find the translation, you can take two corresponding points and find the difference in their x's and y's. For example, I'll use N and N':

Step 1) N (-3, -5) and N' (7, 4)

Step 2) difference in y: 4 - (-5) = 9; difference in x: 7 - (-3) = 10

Step 3) a translation right 10 units and up 9 units

1) identify what coordinates points N an N' are

2) find the difference in the points

3) identify whether he shape moved up or down, and left or right. You can see it moved up and right, so you you can tell it moved up 9 since that's the difference in y's and right 10 since that's the difference in x's

The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.

As per the given data, the given formula is:

\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.

Where,

T is the time it takes for a pendulum to make one full swing back and forth (in seconds).

L is the length of the pendulum, in feet.

Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.

Substitute the given parameters into the formula will give;

\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)

Now divide both sides by 2π.

\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)

\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)

Then taking square on both sides.

\($ (0.3024)^2=\frac{L}{32} \\\)

0.09144576 = \($\frac{L}{32}\)

Later multiply both sides by 32.

2.9262 = L

The approximate value of the length of a pendulum:

L ≈ 3

Therefore, the length of a pendulum is about 3 feet.

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The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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Answer:

24

Step-by-step explanation:

Thanks to their discount, they get 10 dollars off. The result is 14.

(24 - 10 = 14)

\(\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}\)

349525

Step-by-step explanation:

\( = \textsf{\underline{\large{To find :-}}}\)

The sum of first 10 terms

\( \textsf{\underline{\large{Given :-}}}\)

a = 1

r = 4

\(\sf{ \huge{ \underline{ \underline {Solution :-}}}}\)

\( \sf S_n = \frac{a( {r}^{n} - 1)}{(r - 1)} ,if \: r ≠ 1\)

here n = 10

we just need to substitute the value

\( \sf \implies S_{10} = \frac{1( {4}^{10} - 1) }{(4 - 1)} \\ \\ \sf \implies S_{10} = \frac{ {4}^{10} - 1 }{3} \\ \\ \sf \implies S_{10} = \frac{1048576 - 1}{3} \\ \\ \sf \implies S_{10} = \frac{1048575}{3} \\ \\ \sf { \red{ \implies S_{10} = 349525}}\)

Answer:

349525

Step-by-step explanation:

Sum of a Geometric Sequence

Taking :

Solving

Answer:

The length of third side is 4 units

Step-by-step explanation:

In a right angle triangle

AB = 2√3, BC = 2 and m∠B = 90°

Now, By Pythagoras Theorem

(AC)² = (AB)² + (BC)²

(AC)² = (2√3)² + (2)²

(AC)² = 12 + 4

(AC)² = 16

√(AC)² = √16

AC = 4

Thus, The length of third side is 4 units

-TheUnknownScientist 72

Answer:

B) Years of drought and no rain

Step-by-step explanation:

What circumstances conspired to cause the Dust Bowl? Economic depression coupled with extended drought, unusually high temperatures, poor agricultural practices, and the resulting wind erosion all contributed to making the Dust Bowl. The seeds of the Dust Bowl may have been sowed during the early 1920s.

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

Answer:

Step-by-step explanation:

(i) The level of significance (alpha) for a 95% confidence interval is 0.05.

(ii) The corresponding Z-value for a 95% confidence interval can be found in the Z-table or using a calculator, and is 1.96.

(iii) The sample proportion of people who preferred seafood is:

p-hat = 160/500 = 0.32

(iv) The formula to calculate the margin of error (ME) for a proportion is:

ME = Z * sqrt((p-hat * (1 - p-hat)) / n)

where Z is the Z-value for the desired level of confidence, p-hat is the sample proportion, and n is the sample size.

(v) Plugging in the values, we get:

ME = 1.96 * sqrt((0.32 * (1 - 0.32)) / 500)

ME ≈ 0.045

So the margin of error is approximately 0.045.

To find the 95% confidence interval, we use the formula:

CI = p-hat ± ME

Plugging in the values, we get:

CI = 0.32 ± 0.045

CI = (0.275, 0.365)

Therefore, we can say with 95% confidence that the actual proportion of people who prefer seafood on Fridays is between 0.275 and 0.365.

(vi) To find the length of the interval, we subtract the lower limit from the upper limit:

Length of interval = 0.365 - 0.275 = 0.09

For a 90% confidence interval, the Z-value is 1.65. Using the same formula and calculations, we get:

ME = 1.65 * sqrt((0.32 * (1 - 0.32)) / 500)

ME ≈ 0.039

CI = 0.32 ± 0.039

CI = (0.281, 0.359)

Length of interval = 0.359 - 0.281 = 0.078

For a 99% confidence interval, the Z-value is 2.58. Using the same formula and calculations, we get:

ME = 2.58 * sqrt((0.32 * (1 - 0.32)) / 500)

ME ≈ 0.057

CI = 0.32 ± 0.057

CI = (0.263, 0.377)

Length of interval = 0.377 - 0.263 = 0.114

For a 99.9% confidence interval, the Z-value is 3.291. Using the same formula and calculations, we get:

ME = 3.291 * sqrt((0.32 * (1 - 0.32)) / 500)

ME ≈ 0.078

CI = 0.32 ± 0.078

CI = (0.242, 0.398)

Length of interval = 0.398 - 0.242 = 0.156

In conclusion, as the confidence level increases, the length of the confidence interval also increases. This makes sense since as we become more certain about our estimate, we need to allow for a wider range of possible values.

Answer:

The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:

log1x = 0

As we can solve the square root 80 or \(\sqrt{80\\}\) = \(\sqrt{2^4}.\sqrt{5}\)

so \(\sqrt{2^4}.\sqrt{5}\) is the correct answer for square root 80

What is Square root?

The component of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 32 or 3 3. We refer to this as a square since there is a 2 exponent. When the exponent is now 1/2, the square root of the integer is being discussed. For instance, when n is a positive integer, n = n1/2

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolised by the character "." The number behind the square root sign is referred to as the radicand, whereas the square root symbol itself is known as a radical.

1)

\(\sqrt[4]{2} .\sqrt{5}\) =\(2^{\frac{1}{4} } .\sqrt{5}\)

which is not equal to \(\sqrt{80\\}\)

2)

\(\sqrt{2^4}.\sqrt{5}\) = \(2^{4.\frac{1}{2} } .\sqrt{5}\)

=\(4\sqrt{5}\) or\(\sqrt{16 * 5} =\sqrt{80}\)

3)

\(\sqrt{2}. \sqrt{2}. \sqrt{5} =2\sqrt{5}\)

which is not equal to \(\sqrt{80\\}\)

4)

\(\sqrt{2^{2} } .\sqrt{2^{2} } .\sqrt{5^{2} } = 2.2.5 \\\\\4.5 = 20\)

which is not equal to \(\sqrt{80\\}\)

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Answer:

Average rate of change = \(\frac{4}{3}\)

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change = \(\frac{f(b) - f(a)}{b - a}\)

Therefore, average rate of change of the function represented by the graph will be = \(\frac{7-3}{5-2}\)

           = \(\frac{4}{3}\)

Answer:

The average speed of the river's current is 3.5 mph.

Step-by-step explanation:

If the speedboat is capable of traveling 35 mph in Stillwater, but went 84 mph up the river (i.e., against the current) for 3 hours, then we can use this information to determine the average speed of the river's current.

Let's assume that the speed of the river's current is C, and the speed of the boat in still water is B. When the boat is traveling against the current, its effective speed is reduced by the speed of the river's current, so the boat's speed upstream can be expressed as:

B - C

We know that the boat's speed upstream was 84 mph, so we can set up the following equation:

B - C = 84/3 = 28 mph

We also know that the boat's speed in still water is 35 mph, so we can set up another equation:

B + C = ?

We want to solve for the average speed of the river's current (i.e., C), so we can rearrange the first equation to get B in terms of C:

B = C + 28

Now we can substitute this expression for B into the second equation:

B + C = 35 + C

Substituting B = C + 28 gives:

C + 28 + C = 35 + C

Simplifying this equation gives:

2C + 28 = 35

Subtracting 28 from both sides gives:

2C = 7

Dividing both sides by 2 gives:

C = 3.5 mph

Therefore, the average speed of the river's current is 3.5 mph.

Answer:

Option A) \(\bf{ x^{\frac{2}{7}}*y^{-\frac{3}{5}}}\)

Step-by-step explanation:

we have

\(\sf{\dfrac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}}\)

we know that

\(\sf{\sqrt[7]{x^{2}}=x^{\frac{2}{7}}}\)

\(\sf{\sqrt[5]{y^{3}}=y^{\frac{3}{5}}}\)

substitute in the expression

\(\sf{\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}=x^{\frac{2}{7}}*y^{-\frac{3}{5}}}\)

Answer:

Domain = [-7,4]

Range = [-4,8]

Step-by-step explanation:

Domain= all values of x

Range= all values of y

becuase there are no values going to infinity and they all end, we can just look at our end points.

The input-output tables represent a function that will be table C and table D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

If the value of the output is single for each distinct value of the input. Then the table represents the function.

In option A, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

In option B, the number of outputs is 2 for a single value of the input that is x = 5. So, it does not represent a function.

In option E, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

The input-output tables represent a function that will be table C and table D.

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Answer:

70266 - 8000 that is the answer to the question

Answer:

b = \(\sqrt{96}\)

Step-by-step explanation:

a^2 + b^2 = c^2 is the Pythagorean theorem

if A = 2 and C = 10 then you get

2^2 + b^2 = 10^2

or 4 + b^2 = 100

b^2 = 96

b = square root of 96 or approximately 9.8

goodluck on your schoolwork/homework!

-----------------------------------------------------------------

sorry for any errors or bad explanations.

Answer:

slope = -2/3

Step-by-step explanation:

BECAUSE IT IS

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:1.1304

Step-by-step explanation: The y intercept is where the line intercepts thhe y axis so just take 2 points and take the y axis then you cand divide the larger one by the smaller one.