Determine the equation

C.) through (3,-9) and (-2,-4)

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

Step-by-step explanation:

Reflection over x-axis results in:

Therefore the new function is:

Answer:

85 - 20 = p

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Equation: 85-20=65

Step-by-step explanation:

Let assume that

Cost of 1 burger = $ x

Cost of 1 doughnuts = $ y

According to statement, 9 burgers and 1 doughnut cost $ 31.30

\(\begin{gathered}\sf \: 9x + y = 31.3 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf\implies \sf \: y = 31.3 - 9x - - - (1) \\ \\ \end{gathered}\)

According to statement again, 3 doughnuts and 6 burgers cost $ 26.70

\(\begin{gathered}\sf \: 6x + 3y = 26.7 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf \: 3(2x + y) = 26.7 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf \: 2x + y = 8.9 \\ \\ \end{gathered}\)

On substituting the value of y from equation (1), we get

\(\begin{gathered}\sf \: 2x + 31.3 - 9x = 8.9 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf \: 31.3 - 7x = 8.9 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf \: - 7x = 8.9 - 31.3 \\ \\ \end{gathered}\)

\(\begin{gathered}\sf \: - 7x = - 22.4 \\ \\ \end{gathered}\)

\(\begin{gathered}\bf\implies \: x = 3.2 \\ \\ \end{gathered}\)

So,

Cost of 2 burgers = 3.2 × 2 = $ 6.4

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

We need to make linear equations, to solve this problem.

let the cost of each burger be x, and that of each doughnut be y.

\( \qquad❖ \: \sf \:9x + y = 31 .30\)

\( \qquad❖ \: \sf \:y = (31 . 30 - 9x)\)

put value of y in other equation.

\( \qquad❖ \: \sf \:6x + 3y = 26.70\)

\( \qquad❖ \: \sf \:6x + 3(31.3 - 9x) = 26.70\)

\( \qquad❖ \: \sf \:6x + 93.90 - 27x = 26.70\)

\( \qquad❖ \: \sf \:6x - 27x = 26.70 - 93.90\)

\( \qquad❖ \: \sf \:27x - 6x = 93.90 - 26.70\)

\( \qquad❖ \: \sf \:21x =67 .20\)

\( \qquad❖ \: \sf \:x = 67.20 \div 21\)

\( \qquad❖ \: \sf \:x = 3.20\)

So, cost of each burger is x = $ 3.20

\( \qquad \large \sf {Conclusion} : \)

Therefore, cost of two burgers is :

Answer:

y is 2

Step-by-step explanation:

plug in 9 for x and you get y is 2

Answer:

2

Step-by-step explanation:

Substitute 9 for x and calculate the y value:

y = (1/3)(9) -1 = 2

Step-by-step explanation:

Here is the solution...hope it helps:)

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

Answer:

12 km

Step-by-step explanation:

20 minutes = 20 * 60 = 1200 second

distance = velocity * time

car 1 = 1200 * 20 = 24000 m = 24km

car 2= 1200 * 10 = 12000 m = 12km

so distance between them after 20 minutes is 24 -12 = 12 km

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

The principal investment required to get a total amount of $3,700.00 from compound interest at a rate of 3.5% per year compounded 365 times per year over 15 years is $2,287.26.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Given Data

Rate = 3.5%

Final Amount = $3,700

Time = 15 Years

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 per year,

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 3,700.00 / (1 + 0.035/365)(365)^(15)

P = 3,700.00 / (1 + 0.00010137)^(4745)

P = $2,287.26

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Answer:

The radius of the pizza is 5 inches. The circumference of the pizza is about 31.4 inches.

Step-by-step explanation:

The length of the arc PR of the circle comes out to be 5.71 units

Arc refers to a part of the circumference or the perimeter of a circle

Given:

m ∠PQR = 30

PQ = 9 units

PQ is the radius of the circle as it originates from the center and end lies on the circumference of the circle

Thus, r = 9 units

Length of arc = (θ ÷ 360) * 2πr

where θ is the measure of the angle subtended by the arc

r is the radius

Thus,

PR = (30 ÷ 360) * 2π9

= 1/12 * 2 * 3.14 * 9

= 1.57 * 3

= 5.71 units

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For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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Answer:

1,001

Step-by-step explanation:

Any number that ends in 1, 3, 5, 7 or 9 is an odd number. This is because the number cannot be divided by 2 evenly So 999 is an odd number. An even number is an integer which is evenly divisible by 2.

Answer:

45.94

Step-by-step explanation:

43.95*0.045=1.97775 rounds to 1.98.

1.98+43.95=45.94.

Hope this was helpful.

~cloud

well, the table has 5 points in it, let's pick any two hmmm say let's  use hmmm (2 , 7) and (6 , 17)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{17}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{17}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{10}{4}\implies \cfrac{5}{2}\)

when x = 0, from the table, y = 2, so there's the y-intercept.

Median of weight of the bags of potatoes if a 60-pound bag was included in the list is 28 pounds.

How to find median?

If the number of observations is odd, the number in the middle of the list is the median. This can be found by taking the value of the (n+1)/2 -th term, where n is the number of observations.

Else, if the number of observations is even, then the median is the simple average of the middle two numbers.

According to the given question:

List of weights for 6 bags of potatoes is 21, 28, 32, 25, 40, 24.

Median weight of the bags of potatoes is 26.5 pounds.

If a 60-pound bag was included in the list, the new list will be

21, 28, 32, 25, 40, 24, 60

Arranging the list in ascending/descending order

21, 24, 25, 28, 32, 40, 60

Now, the number of terms is odd

        ∴ Median = (n+1)/2 th term

                         = (7+1)/2 th term

                         = 8/2 th term

                         = 4 th term

                         = 28 pounds

Hence Median of weight of the bags of potatoes if a 60-pound bag was included in the list is 28 pounds.

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Answer:

100 rupees

Step-by-step explanation:

1 week = 10 rupees

10 weeks = ?

cross multiply

10 × 10 = 100 rupees

Answer: 1/250

Step-by-step explanation: you could literally demos scientific calculator to get the Answer

Answer:

x-intercept: x=100

y-intercept: y=100

Step-by-step explanation:

So we have the function:"

\(K(x)=-x+100\)

To find the x-intercept, remember that the x-intercept is always on the x-axis. So, substitute y (or K(x)) for 0 to find the x-intercept:

\(0=-x+100\)

Subtract 100 from both sides:

\(-100=-x\)

Divide both sides by -1:

\(x=100\)

So, the x-intercept is at x=100 at the point (100,0)

Similarly, to find the y-intercept, substitute 0 for x:

\(K(x)=-(0)+100\)

Simplify:

\(K(x)=100\)

So, the y-intercept is at:

\((0,100)\)

And we're done!

Answer:

[×1] +16=10

×=10-16

×=-6

Answer:

x=5 and x=-5

Step-by-step explanation:

First subtract 16 from both sides.

Then solve for x+1=6 and x+1=-6

you answer should be x=5 and x=-5

Answer:

102

Step-by-step explanation:

You have to subtract 214 - 112 you get 102.

Answer: 4AB

Step-by-step explanation:

\((A+B)^2-(A-B)^2=\\((A+B)+(A-B))((A+B)-(A-B))=\\(A+B+A-B)(A+B-A+B)=\\(2A)(2B)=\\4AB\)

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

-7 ≤ y ≤ 2

Step-by-step explanation:

The range is the y of the graph.

We just need to find the lowest point of the y and the highest point of the y.

In this case, it is -7 & 2.

So, our range of the graph is

-7 ≤ y ≤ 2

The total number of reptile/fish pets written in scientific notation is 1.6*10^8

We know that there are estimates to be:

Notice that all these numbers writen in scientific notation, and we need to add them.

To add them, the exponent in the 10 must be equal in both numbers, so we can rewrite:

1.5*10^8 = 150*10^6

Now we can add these two to get:

150*10^6 + 9.5*10^6 = 159.6*10^6

Now to write this as scientific notation, we need to have only one digit on the left side of the decimal point, so we can rewrite this as:

159.6*10^6 = 1.596*10^8

Rounding this to two decimal places we will get:

1.596*10^8 = 1.6*10^8

So there are 1.6*10^8 pet fish and pet reptile in the US.

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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The letter U would be drawn roughly 30 times, but probably not exactly 30 times.

The box is given as

Box = Vowels

The letters of a vowel are A E I O U

This means that

The probability of drawing a U on any single draw is 1/5

When the trials is repeated 150 times, the expected value can be calculated using the formula:

E(X) = np

where X is the random variable representing the number of times a U is drawn.

Plugging in n=150 and p=1/5, we get:

E(X) = 150 x 1/5 = 30

So, we can predict that the block will be drawn with the vowel U approximately 30 times out of the 150 draws

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