△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?

A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where:

Substituting the given parameters into the formula, we have;

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we would calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we would calculate the compound interest earned on the credit card by using this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we would calculate the monthly payment over a period of 84 months as follows:

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.

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Answer:

C

Step-by-step explanation:

got 100% on exam

Answer:

81, 225, 361

Step-by-step explanation:

Answer:

y = -2x + 9

Step-by-step explanation:

The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.

y = -2x + 9

x= -0.706, y= 4.529

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

3x+4y z 16

-4x+6y< 30

Solving the two equations we get,

x=-0.706, Y= 4.529

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Answer: 22 degrees

Step-by-step explanation:

Since the angle 180° is in the third quadrant, subtract 180° from 202°.

Answer:

9

Step-by-step explanation:

Let the ratio's unit be x. We have:

3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!

The volume of cylinder V as a function of the height h is: V = 50.24h

In this question, we have been given the radius of the cylinder which is 4 centimeters.

We need to write the volume V of the can as a function of the height h.

We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h

In this question, r = 4 centimeters

Substitute r = 4 in above formula of volume of cylinder.

⇒ V = π × r² × h

⇒ V = π × 4² × h

⇒ V = 3.14 × 16 × h

⇒ V = 50.24 × h

⇒ V = 50.24h

Therefore, the volume of cylinder V as a function of the height h is:

V = 50.24h

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Answer:

its the second option

Step-by-step explanation:

u can search for the formula for a right trapezoid and then solve it

The difference quotient of the function g(x) = √x is  [√(x+h) -√x]/h

Difference quotient of the function:

Difference quotient of the function means a measure of the average rate of change of the function over an interval.

The difference quotient formula of a function y = f(x) is,

[ f(x + h) - f(x) ] / h

where

f (x + h) is obtained by replacing x by x + h in f(x)

f(x) is the actual function

Given,

Function g(x) = √x where x≥0.

Here we need to find the difference of the quotient of the function.

For that,

First we have to calculate the value of g(x + h),

By simply replacing the value of x as x + h,

So,

g(x + h) = √(x+h)

Now apply the values on the formula in order to solve it,

=> [√(x+h) -√x]/h

We can't simplify it further.

So, the difference quotient of function is,

=> [√(x+h) -√x]/h

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Answer: D

Step-by-step explanation:

took one for the team

Step-by-step explanation: See attached step by step

Answer:  Theorems About Roots of Polynomial Equations

Step-by-step explanation:

Theorems About Roots of Polynomial Equations

In the given case we can conclude that the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]

To create a polynomial with 4 terms, a degree of 6, a leading coefficient of -1, and a constant term of -5.5, we can use the general form of a polynomial:

A "polynomial" is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers, combined using addition and multiplication. Polynomials are fundamental objects in algebra and are used to represent a wide range of mathematical relationships, including functions, curves, and various mathematical concepts.

P(x) = [tex]ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g[/tex]

Plugging in the given values, we have:

P(x) = [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5[/tex]

Remember that the degree of a polynomial is determined by the highest exponent of x.

In this case, the degree is 6.

The leading coefficient is the coefficient of the term with the highest degree, which is -1. The constant term is -5.5.

So, the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]

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Answer:

primary school is a primary school

Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade

Step-by-step explanation:

The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.

Number line:

Number line used for visual representation of numbers on a straight line.

Given:

Here we need to locate and plot √15 on a number line.

Steps for the construction:

Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.

Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.

Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.

Step 4) From B on the number line, use your compass and make a quarter circle from D to E.

The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.

Based on the steps the number line is looks like,

Therefore, The square root of 15 (√15) is approximately 3.87298.

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Answer: x=-5, y=4 (-5,4)

Step-by-step explanation:

Step-by-step explanation:

multiply 6x - y = 2 by 3 and subtract the first equation from the second

18x-3y=6 - (-4x+3y=2

3y is cancelled and after the others are subtracted the equation becomes

22x = 4

x = 2/11

Answer:

The value of x = 1/2

The value of y = 1

Step-by-step explanation:

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Step-by-step explanation:

[tex] = \frac{ {2}^{4} }{ {2}^{7} } [/tex]

[tex] = {2}^{4 - 7} [/tex]

[tex] = {2}^{ - 3} [/tex]

[tex] = \frac{1}{ {2}^{3} } [/tex]

[tex] = \frac{1}{2 \times 2 \times 2} [/tex]

[tex] = \frac{1}{8} [/tex]

The answer is not 8, but 1/8.

Answer:102

Step-by-step explanation:

The interior angles of a triangle have to measure 180 degrees, which is an isosceles triangle, and 39+39=78.

180-78=102.Therefore the  answer is 102

The 55 miles can be written as 24.4m/s.

A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units

A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.

one common type of rate is per unit time

1 mile has 1600 meters.

distance= 55×1600= 88000m

Time= 1 hour= 3600 second.

speed is euqal to distance upon time.

88000÷ 3600 = 24.4m/s

so the 55 miles can be written as 24.4m/s.

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Answer:

25

Step-by-step explanation:

The required amount of strawberries eaten by the friend is given as 25 strawberries.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25

Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.

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Answer:

16. G

17. C

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

Let's suppose
t the time of the travel

d1 the distance rided by Cindy in miles

d2 the distance rided by Richard in miles

d1+d2=96

18*t+14*t=96

32*t=96

t=3 (hours)

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

Answer:

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Step-by-step explanation:

    We will use the midpoint formula to solve.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]

[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]

[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]

Answer:

C. 3x-8

Step-by-step explanation:

To solve this, we put the x values into the functions and calculate the y values.

A

y = (1/2)x - 3

test for (2, -2)

-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct

test for (6, 10)

10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong

so, A cannot be right.

B

y = -2x + 2

test for (2, -2)

-2 = -2×2 + 2 = -4 + 2 = -2 correct

test for (6, 10)

10 = -2×6 + 2 = -12 + 2 = -10 wrong

so, B cannot be right.

C

y = 3x - 8

test for (2, -2)

-2 = 3×2 - 8 = 6 - 8 = -2 correct

test for (6, 10)

10 = 3×6 - 8 = 18 - 8 = 10 correct

test for (13, 31)

31 = 3×13 - 8 = 39 - 8 = 31 correct

so, C is a right answer.

D

y = 4x - 10

test for (2, -2)

-2 = 4×2 - 10 = 8 - 10 = -2 correct

test for (6, 10)

10 = 4×6 - 10 = 24 - 10 = 14 wrong

so, D cannot be right.

I hope this helped! Have a good day! :D

The values for the net change and average change is given as-

7. Net change = 2 , Average change = 2/3.

8. Net change = -2, Average change = -1/2.

9. Net change = -4, Average change = 4/5.

10. Net change = 4, Average change = 2/3.

Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.

Part 7:

The points on x axis are;

a = 1 and b = 4

f(b) = f(4) = 5

f(a) = f(1) = 3

Thus, net change is; f(b)−f(a)

= f(4) - f(1)

= 5 - 3

net change = 2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(4) - f(1)]/(4 - 1)

net change = 2/3.

Part 8:

The points on x axis are;

a = 1 and b = 5

f(b) = f(5) = 2

f(a) = f(1) = 4

Thus, net change is; f(b)−f(a)

= f(5) - f(1)

= 2 - 4

net change = -2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(1)]/(5 - 1)

net change = -2/4 = -1/2

Part 9:

The points on x axis are;

a = 0 and b = 5

f(b) = f(5) = 2

f(a) = f(0) = 6

Thus, net change is; f(b)−f(a)

= f(5) - f(0)

= 2 - 6

net change = -4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(0)]/(0 - 5)

net change = -4/-5 = 4/5

Part 10:

The points on x axis are;

a = -1 and b = 5

f(b) = f(5) = 4

f(a) = f(-1) = 0

Thus, net change is; f(b)−f(a)

= f(5) - f(-1)

= 4 - 0

net change = 4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(-1)]/(5 + 1)

net change = 4/6 = 2/3

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A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.

The correct option is B.

The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.

The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.

Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.

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I understand that the question you are looking for is:

Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.

a. weak negative

b. moderately positive

c. weak positive

d. strong positive