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Answer:

The relation is linear

Step-by-step explanation:

Answer:

Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.

Step-by-step explanation:

This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept

To find m:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{(-2)-(-7)}{(-9)-(-5)}[/tex]

m=[tex]\frac{5}{-4}[/tex]

m=[tex]-\frac{5}{4}[/tex]=-1.25

To find b, you can use any of the given points:

(-9,-2)

(-2)=-1.25(-9)+b

-2=11.25+b

-2-11.25=b

b=-13.25

Therefore, using the calculated values for m and b:

y=mx+b

y=-1.25x-13.25

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+32

Answer:

8x^4+9x^3+4x-1

Step-by-step explanation:

(6x^3 – 5x^2 + 3x – 5) + (8x^4 + 3x^3 + 5x^2 + x + 4)

Group like terms

8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4

8x^4+9x^3+4x-1

Answer:

[tex]\left(6x^3-5x^2+3x-5\right)+\left(8x^4+3x^3+5x^2+x+4\right)[/tex]

Combine like terms

[tex]=8x^4+6x^3+3x^3-5x^2+5x^2+3x+x-5+4[/tex]

Add: -5x²+5x²=0

[tex]=8x^4+6x^3+3x^3+3x+x-5+4[/tex]

Now add 6x³+3x³=9x³

[tex]=8x^4+9x^3+3x+x-5+4[/tex]

Add like terms 3x +x=4x

[tex]=8x^4+9x^3+4x-5+4[/tex]

Now add -5+4=-1

[tex]=8x^4+9x^3+4x-1[/tex]

OAmalOHopeO

Answer:

[tex]C(n) = 435n + 150[/tex]

Step-by-step explanation:

Given

[tex]Base = 400[/tex] -- Base charge per month

[tex]Utilities = 150[/tex]

[tex]Adverts = 35[/tex] per month

Required

The cost function

To do this, we multiply the rates by the number of months.

So, we have:

[tex]C(n) = Base * n + Adverts * n + Utilities[/tex]

So, we have:

[tex]C(n) = 400 * n + 35 * n + 150[/tex]

[tex]C(n) = 400n + 35n + 150[/tex]

[tex]C(n) = 435n + 150[/tex]

Answer:

7000 and 8000 respectively

Step-by-step explanation:

Let x be invested in first account and x+1000 be invested in second account.

ATQ, 830=(5)*x/100+6*(x+1000)/100. Solving it will give us x=7000

The amount Seth invested at 5% is 7000 dollars and the amount Seth invested at 6% is 8000 dollars.

A percentage is a value per hundredth. We can also convert percentages into decimals and fractions.

We know, SI = P×r×t/100, where SI = Simple interest, P = principle,

r = rate in % and t = time in years.

Assuming the total amount to be x dollars.

∴ x×5×1/100 + ( x + 1000)×6×1/100 = 830.

5x/(100) + (6x + 6000)/100 = 830.

5x + 6x + 6000 = 83000.

11x = 77000.

x = 7000.

Therefore the amounts are 7000 and (7000 + 1000) = 8000.

learn more about percentage here :

https://brainly.com/question/24159063

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Answer:

[tex]43.13 = 5.25h + 9[/tex]

Step-by-step explanation:

Let's solve this by making an equation.

$9 for the helmet, and $5.25 per hour.

h will stand for hours, C will stand for Amanda's cost.

[tex]C = 5.25h + 9[/tex]

Now, substitute in what we learned from the problem.

[tex]43.13 = 5.25h + 9[/tex]

This is an equation you can use to solve for the hours.

Answer: x = 24

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]x^{2}+18^{2}=30^{2} \\x^{2} = 30^{2}-18^{2}\\x=\sqrt{30^{2}-18^{2}}=\sqrt{900-324}=\sqrt{576} =24[/tex]

Answer:

Onetta can salect a sandwich and a salad in 78 different ways.

Step-by-step explanation:

Since Onetta goes to the food court to get a salad and sandwich for lunch, and the Daily Deli has 8 varieties of sandwiches and 3 salads, while Better Bites has 2 varieties of sandwiches and 7 salads, and the Lunch Spot has 5 varieties of sandwiches and 8 salads, to determine the number of ways Onetta can select a sandwich and a salad, the following calculation must be performed:

8 x 3 + 2 x 7 + 5 x 8 = X

24 + 14 + 40 = X

78 = X

Therefore, Onetta can salect a sandwich and a salad in 78 different ways.

Answer:

B

Step-by-step explanation:

hope it is well understood

Answer:

first one is going to be

5.94x10¹¹

second one is going to be

6.89225x10³

y + z + r + x = 360

2x + 3x + 4x + x = 360

10x = 360

x = 360/10

x = 36

Now

x = 36

y = 72

z = 108

r = 144

Answered by Gauthmath must click thanks and mark brainliest

Answer:

216 * 80^4 * y^8 *z

Step-by-step explanation:

Just use the foil method to solve and add like terms.

Answer:

(42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

Step-by-step explanation:

The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.

Given that :

Phat = 45%

Margin of error = ±3%

The confidence interval is defined as :

C. I = Phat ± margin of error

C. I = 45% ± 3%

Lower boundary :

45% - 3% = 42%

Upper boundary :

45% + 3% = 48%

C.I = (42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

Answer:

Step-by-step explanation:

                  4km

[tex]\frac{3 }{27} \frac{miles}{minutes}[/tex] * [tex]\frac{60}{1} \frac{min}{hour}[/tex] * [tex]\frac{1}{.6213} \frac{km}{mile}[/tex]

4km ÷ 10.73 km/hr = .37 hr = 22.3 minutes

Answer:

22hrs

Step-by-step explanation:

hope it is well understood?

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

Slope: 0

y - intercept: (0, -3)

Kindly click the attached photo ^^

[tex]\color{pink}{==========================}[/tex]

#CarryOnLearning

[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]

Answer:

(3, 6)

Step-by-step explanation:

The vertex form of a quadratic is y = a(x-h)^2 + k

where (h, k) is the point of the vertex. So the answer is (3,6)

We know that vertically opposite angles are equal.

So, k = 131° [Vertically opposite angles]

and g = 43° [Vertically opposite angles]

We know that linear pair of angles are supplementary (180°).

So, h + 43° = 180° [Linear pair of angles]

=> h = 180° - 43°

=> h = 137°

and m + 131° = 180° [Linear pair of angles]

=> m = 180° - 131°

=> m = 49°

Answer:

12+12+10+10=44

104-44=60

60÷2=30

30 is the surface area of A

30÷6=5

5 is a missing dimention

Let number if boys be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{x+5}{x}=\dfrac{4}{3}[/tex]

[tex]\\ \sf\longmapsto 3(x+5)=4x[/tex]

[tex]\\ \sf\longmapsto 3x+15=4x[/tex]

[tex]\\ \sf\longmapsto 4x-3x=15[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

[tex]\\ \sf\longmapsto x+5=15+5=20[/tex]

A sample of size n taken from a normally distributed population with mean µ and standard deviation σ has a sample mean of µ and standard deviation of σ/√n.

So the sample mean would still be 180.1, while the sample standard deviation would be 100/√94 ≈ 10.31.

9514 1404 393

Answer:

  0.75

Step-by-step explanation:

You know that ...

  P(S or T) = P(S) +P(T) -P(S and T)

When events are mutually exclusive, P(S and T) = 0. Then ...

  P(S or T) = 5/8 + 1/8 = 6/8 = 3/4

  P(S or T) = 0.75

Step-by-step explanation:

[tex] \frac{{(3 + u)}^{2} }{8} [/tex]

[When u = 5]

[tex] = \frac{{(3 + 5)}^{2} }{8} [/tex]

[tex] = \frac{ {(8)}^{2} }{8} [/tex]

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

= 8 (Ans)

-2(a - 7)

(Using Distributive property)

= - 2 × a -2 × (-7)

= -2a + 14 (Ans)

Answer:

7. 8

8. -2a+14

Step-by-step explanation:

(Excuse this form of the expression)

7.

u = 5

(3 + u)²

---------

   8

Plug in

(3 + 5)²

---------

   8

  (8)²

---------

   8

64

---- = 8

8

8.

-2(a - 7)

Multiply -2 with each number in the parenthesis

-2a + 14

9514 1404 393

Answer:

  √5 +√6

Step-by-step explanation:

We know that the square of a binomial is ...

  (a +b)^2 = a^2 +2ab +b^2

Then the square root of it is ...

  a + b = √(a^2 +b^2 +2ab)

Using a=√x and b=√y, this is ...

  √x +√y = √(x + y + 2√(xy))

__

For the given expression, we need to find x and y such that ...

  xy = 30 and x+y = 11

Using x=5, y=6, we meet those requirements.

  [tex]\displaystyle \sqrt{11+2\sqrt{30}}=\sqrt{5+6+2\sqrt{5\cdot6}}=\boxed{\sqrt{5}+\sqrt{6}}[/tex]

Answer:

√5+√6 ≈ 4.68555772

Step-by-step explanation:

I hope it's correct

Answer:

Mark Brainliest please

The answer is 1

Step-by-step explanation:

(1 — x^ m-n) ^-1 + (1- x ^n-m)^ -1

1/[1-x^(m-n)] + 1/[1-x^(n-m)]

1/[1-x^m × x^(-n)] + 1/[1-x^n × x^(-m)]

x^n/(x^n - x^m) + x^m/(x^m - x^n)

x^n/(x^n - x^m) - x^m/(x^n - x^m)

Now taking the LCM here, we get

(x^n - x^m)/(x^n - x^m)

Answer:

13

Step-by-step explanation:

f(x) = 4x + 1

Let x= 3

f(3) = 4*3+1

    = 12+1

   = 13

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

Answer:

five kids .each 6 sweaters and 9 trousers

Step-by-step explanation:

Solution :

Amounts spent on a trip : $31.11, $25.01, $18.53, $14.37, $24.16, $21.91

Confidence interval = 80%

Average amount spent = 8 to 9 years old

One sample T confidence interval

μ : Mean of variance

80% of confidence interval results :

Using statistical software,

Variable : data

Sample mean : 22.515

Std. Err. = 2.3479945

DF = 5

L. limit : 19.049632

U. Limit : 25.980368

SD = 5.75

Critical value = 1.476

Answer:

B. 7i

Step-by-step explanation:

first we need to find the root of the expression

[tex]\sqrt{-49} = \sqrt{49} *\sqrt{-1} \\ \\ \sqrt{49} = 7\\\\and\\\\ \sqrt{-1} = i[/tex]

so the answer is B. 7i