Shirt is 18 dollars there’s a 20% discount

Answer:

1. Slope=1/4

2. Slope =6

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

calculate the slope m using the slope formula and equate to - 3

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 5 ) and (x₂, y₂ ) = (0, r )

m = \(\frac{r-(-5)}{0-3}\) = \(\frac{r+5}{-3}\)

equating to - 3

\(\frac{r+5}{-3}\) = - 3 ( multiply both sides by - 3 to clear the fraction )

r + 5 = - 3 × - 3 = 9 ( subtract 5 from both sides )

r = 4

Answer:

r=4

Step-by-step explanation:

What does slope mean? Slope is the amount of units that y moves when x increases by 1. So, in this case, the slope is -3 and therefore y moves -3 every time x increases by 1.

When x decreases by 3 in this case, then y would increase by 9 because the slope is -3. So if the y value increases by 9, add 9 to -5.

r=4

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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Answer:

The answer to your problem is, angles of rhombus are 60 ,120,60,120.

Step-by-step explanation:

We can draw the figure as shown in attachment.

Then you can see an equilateral triangle ABD.

So here angle A, B and D all will be 60 degrees.

So one of the angles of rhombus becomes 60°.

Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.

Thus the answer to your problem is, angles of rhombus are 60 ,120,60,120.

Answer:

calculate the rise over the run.

therefore, it's -8/7

Topic: coordinate geometry

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Answer: 16 times 20 is 320

Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

Step-by-step explanation:

in simple language h(x) = f(x)+ g(x)

=f(x) +g(x)

h(x)=(3x-7)+(-10x+1)

h(x)= 3x-10x-7+1

h(x)=-7x-6 is yournew derived function

Answer:

d

Step-by-step explanation:

i did it on eduhguenity

The solutions which satisfy the equation A = 256ˣ are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by A = 256ˣ

a)

The value of equation B = 8^2x

B = 8²ˣ

On simplifying the equation , we get

B = 8²⁽ˣ⁾

B = 64ˣ

And the value of B ≠ A

b)

The value of equation B = 4^4x

B = 4⁴ˣ

On simplifying the equation , we get

B = 4⁴⁽ˣ⁾

B = 256ˣ

And the value of B = A

c)

The value of equation B = (64^x)^2

B = (64ˣ)²

On simplifying the equation , we get

B = 64²⁽ˣ⁾

B = 4096ˣ

And the value of B ≠ A

d)

The value of equation B = (16^x)^2

B = (16ˣ)²

On simplifying the equation , we get

B = 16²⁽ˣ⁾

B = 256ˣ

And the value of B = A

e)

The value of equation B = 2^8x​

B = (2⁸)ˣ

On simplifying the equation , we get

B = 256⁽ˣ⁾

And the value of B = A

Hence , the equations which satisfy are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

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Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

Answer:

it would be 25%

Step-by-step explanation:

because 25 multipled by 4 is 100 so it would be 25%

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

it is so hard men and there is no solution maybe you can search on siri

The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

To start, denote x as the number of lbs utilized per each coffee type (type A and type B). Further, let ax be the quantity of lbs for type A coffee and bx be the quantity of lbs for type B coffee. So, ax and bx are in units of quantity*lbs.

The cost of type A and type B coffee can be equated as follows:

Cost (A) = 5.95/lb and Cost (B) = 4.65/lb

The key information given ("This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $796.00") can be represented algebraically as follows:

Cost (Blend) = Cost(A)*ax + Cost(B)*bx = $796.00. Since the quantity of type B coffee is 3 times the quantity of type A coffee, it follows that a = 1 and b = 3.

Therefore, 5.95/lb*(x) + 4.65/lb*(3x) = 796--> 5.95/lb*(x) + 13.95/lb*(x) = 796 or (5.95+13.95)(x) = 796.

Therefore, quantity (lbs) = 796/(13.95+5.95) = 796/(19.9) = 40.

Using the previous relation, we know that 3x + x = 40 or 4x = 40. So, the number of lbs for type A coffee utilized in the blend equates to the following:

x = 10 lbs.

Answer:

4.5 cups each

Step-by-step explanation:

take 2 gallons and divide it into 7 people take the remaining number and turn it into cups, quarts or pints

Given:

We have the two triangles:

ABC and ADC

Where:

AB = 10

AC = 8

Let's solve for the following:

• (a). Write a similiarity statement for the two similar triangles.

Two triangles are similar if their corresponding sides are in proportion.

To write a siiliarity statement, we have:

ΔABC ~ ΔADC

• (b). Let's find the length of BC.

To solve for BC, since ABC is a right traingle, apply Pythagorean Theorem:

Where:

AB = 10

AC = 8

Thus, we have:

• (c). Let's find the length of CD.

Since they are similar triangles, the corresponding angles will be equal.

Thus, angle D = angle B = 36 degrees.

Now, apply the trigonometric ratio for tangent:

Where:

Opposite side = AC = 8 units

Adjcaent side = CD

Hence, we have:

Therefore, the length of CD is 11 units.

ANSWER:

• (A). ,ΔABC, ~ ,ΔADC

• (B). 6 units

• (C). 11 units

The slope of the points in this table is equal to -3.

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided in the table, we can logically deduce the following data points on the line:

By substituting the given points into the slope formula, we have the following;

Slope, m = (4 - 7)/(1 - 0)

Slope, m = -3/1

Slope, m = -3.

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We can conclude that there is a significant difference between the means.

To determine whether the mean number of hours per week spent on the internet increased between the two years, we can perform a two-sample t-test. The two-sample t-test is used to determine whether there is a significant difference between the means of two independent samples.

To perform the two-sample t-test, we need to first calculate the t-statistic. The t-statistic is calculated as follows:

t = (mean1 - mean2) / (sqrt(s1^2/n1 + s2^2/n2))

Where mean1 and mean2 are the means of the two samples, s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes.

Next, we need to find the degrees of freedom, which is calculated as follows:

df = (s1^2/n1 + s2^2/n2)^2 / ( (s1^2/n1)^2/(n1-1) + (s2^2/n2)^2/(n2-1) )

Once we have the t-statistic and the degrees of freedom, we can look up the p-value in a t-table. The p-value is the probability of observing a difference between the means as large as the one observed, given that the null hypothesis is true. If the p-value is below the significance level (usually 0.05), we can reject the null hypothesis and conclude that there is a significant difference between the means.

Alternatively, you can use a statistical software package or online calculator to perform the two-sample t-test and obtain the p-value automatically.

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The set of points on this graph is a relation but not a function

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, we have the data as:

(2,5), (1,2), (3,4), (3, 1), (6,5) and  (5,3)

We can say that it is a relation as for every input, there is an output.

But, it is not a function.

This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.

Therefore, the set of points on this graph is a relation but not a function.

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Answer:

C

Step-by-step explanation:

Answer:

C choice.

Step-by-step explanation:

We can either solve the equation or substitute x = 4 to find the true equation.

Solve The Equations

1. 4x=20

Our solution would be x = 5 as we move 4 to divide 20.

2. x/2=8

Our solution would be x = 16 as we move 2 to multiply 8.

3. x+8=3x

Our solution would be x = 4 which is the answer. We basically move x to subtract 3x as we get 8 = 2x.

Then we move 2 to divide 8 as we get x = 4.

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

4.

\(x = \frac{x + 5}{2} \\ 2x = x + 5 \\ 2x - x = 5 \\ x = 5\)

We simply multiply the whole equation by 2 to get rid of the denominator.

Answer:

The maximal area will be "1093.5 square feet".

Step-by-step explanation:

Let,

Length = L feet

Breadth = b feet

Given Total fencing = 162 feet

According to the question,

 \((2\times L)+(3\times b)=162\)

              \(2L+3B=162\)

                         \(L=\frac{162-3b}{2}\)

                         \(L=81-\frac{3}{2}b\)

As we know,

 \(Area=Length\times breadth\)

          \(=(81-\frac{3}{2}b)\times b\)

          \(=81b-\frac{3}{2}b^2\)

Now, we required to decrease or minimize the are. So for extreme points:

 \(\frac{dA}{db}=0\)

or,

 \(\frac{dA}{dB}=\frac{d}{db}(81-\frac{3}{2}b^2 )=0\)

       \(81-\frac{3}{2}\times 2\times b=0\)

                            \(b=\frac{81}{3}\)

                            \(b=27 \ feet\)

Now on putting the value of b, we get

 \(l=81-\frac{3}{2}\times 27\)

   \(=81-40.5\)

   \(=40.5 \ feet\\\)

So that the dimensions will be:

⇒  40.5 feet by 27 feet

Therefore when the dimension are above then the area will be:

=  \(81\times 27-\frac{3}{2}\times 27\times 27\)

=  \(2187-\frac{3}{2}\times 729\)

=  \(2187-1093.5\)

=  \(1093.5 \ square \ feet\)

Answer:

57 + x³

Step-by-step explanation:

the angle you are looking for is 9