Given the graph that is shown. What is the range of the function?

Answer:

300

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the total by 7 to find the value of one part of the ratio.

700 ÷ 7 = 100 ← value of 1 part of the ratio, thus

3 parts = 3 × 100 = 300 ← number of girls

4 parts = 4 × 100 = 400 ← number of boys

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

The solutions of this system of equations are (-2, -2) and (1, 1).

Step-by-step explanation:

Let be the following system of equations:

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

\(y = x\) (2)

(2) in (1):

\(y = -y^{2}+2\)

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

This polynomial can be solved analytically by Quadratic Formula:

\(y_{1} = 1\), \(y_{2} = -2\)

Hence, the solutions of this system of equations are (-2, -2) and (1, 1).

Answer: 3^3 Square root 3

Step-by-step explanation:

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …

Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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The correct sentence representing the given inequality is "Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths."

The sentence that represents the inequality "Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths" is:

Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.

This sentence accurately represents the given inequality by stating that the product of 2.4 and the difference between 6.2 and a number is greater than -4.5.

The use of the phrase "more than" indicates the inequality relation of greater than.

The other sentences do not accurately represent the given inequality:

The sentence "The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths" does not match the original inequality as it changes the order of operations and misinterprets the relationship between the terms.

The sentence "The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths" incorrectly introduces the concept of "at minimum" without establishing the actual inequality relation.

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Answer:

13

Step-by-step explanation:

Given:

13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13

To Find:

Median

Note:

Finding Median:

⇒ Arrange data values from lowest to highest value

⇒ The median is the data value in the middle of the set

⇒ If there are 2 data values in the middle the median is the mean of those 2 values.

Solve:

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48

As you can see now.. Median is 13

[RevyBreeze]

Answer:

Median Arrayed Data :From ascending order; 5,6,6,9,11,13,13,13,15,18,24,28,33,36,48

Now,

Median= n+1/2

=15+1/2

=16/2

=8

5,6,6,9,11,13,13,13,15,18,24,28,33,36,48

Median = 8 th term= 13.

Hence the median is 13.

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

Answer:

1. The 95% confidence interval for the difference between means is (-5.34, 11.34).

2. The standard error of (x-bar1)-(x-bar2) is 4.

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{9.2195^2}{10}+\dfrac{9.4868^2}{12}}\\\\\\s_{M_d}=\sqrt{8.5+7.5}=\sqrt{16}=4\)

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1, of size n1=10 has a mean of 45 and a standard deviation of √85=9.2195.

The sample 2, of size n2=12 has a mean of 42 and a standard deviation of √90=9.4868.

The difference between sample means is Md=3.

\(M_d=M_1-M_2=45-42=3\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{9.2195^2}{10}+\dfrac{9.4868^2}{12}}\\\\\\s_{M_d}=\sqrt{8.5+7.5}=\sqrt{16}=4\)

The critical t-value for a 95% confidence interval is t=2.086.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_{M_d}=2.086 \cdot 4=8.34\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M_d-t \cdot s_{M_d} = 3-8.34=-5.34\\\\UL=M_d+t \cdot s_{M_d} = 3+8.34=11.34\)

The 95% confidence interval for the difference between means is (-5.34, 11.34).

Answer:

100%?

Step-by-step explanation:

Step-by-step explanation:

360÷100×20

=72

so 360+72

=432

pls give brainliest!!

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

false

Step-by-step explanation:

Answer:

-35, -18, -10, 5, 15

Step-by-step explanation:

Negative integers have a lesser value than positive integers since it's before 0.

Answer:

You can afford $1,000 per month as a house payment.

You can get a home loan at 5.3% interest for 15 years (paid monthly).

Then, after 15 years, the price of house that you can afford would be:

A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A

With payment of 1000$ per month in 15 years, then we have

2.2 x A = 1000 x 12 x 15 = 180000

=> The price of house that you can afford now, would be:

A = 180000/2.2 = 81818.2$

Hope this helps!

:)

Step 1: Pick any two points

The points are represented as (x1,y1), (x2,y2).

where x1= -4, y1= -8, x2= 0, y2= 4

Step 2: Write out the formula of the equation to use

Step 3: Substituting the values and to get the equation

The equation that represents the graph is y= 3x+4.

Option A is the correct answer.

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Use the slope formula below:

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

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

\( \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }\)

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

\( \large \boxed{y = mx + b}\)

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

\( \large{y = - \frac{7}{6} x + b}\)

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

\( \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}\)

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

a) The total interest that Charlie, who borrows $700 at a simple interest rate of 4% per annum, will pay after 4 years is $112.

b) The total repayment amount after 4 years, including interest, is $812.

The simple interest system is one that does not add interest to the principal before calculating subsequent years' interest.

The simple interest system is different from compound interest.

The simple interest formula is given as Principal x Time x Rate.

Principal loan = $700

Loan period = 4 years

Annual interest rate = 4%

Interest system = Simple Interest

Simple interest after 4 years = $112 ($700 x 4% x 4)

Amount to be repaid = Principal + Interest

= $812 ($700 + $112)

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Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→(-1,0)

Step-by-step explanation:

Explanation:-

When rotating a point 180 degrees counterclockwise about the origin

(x,y) →(-x,-y)

Given point ( x,y) = (1,0)

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→ (-1,-0)

(1,0)→(-1,0)

Answer:

for cd it's 12 I believe fs