Write the equation of the line in fully simplified slope-intercept form.

Answer:

99 over 130 multiplied by 100 over 1

Answer:  Approximately 1.9 atm

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Work Shown:

[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

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As a check,

[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]

which has the two sides much closer to one another. This helps us verify the answer.

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

Answer:

65.9

Step-by-step explanation:

Answer:

That means you finished.

Step-by-step explanation:

Answer:

x=-5/2,0

Step-by-step explanation:

It is solved by first factorizing it

10x²+25x=5x(2x+5)=0

Finding the zeros

5x=0x=0/5=0

2x+5=0

x=-5/2

Therefore x is -5/2 or 0

Answer:

B. 3/4 cup of water

Step-by-step explanation:

1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4

6 - 5 1/4 = 3/4

Answer: B or 3/4

Step-by-step explanation:

ok first add all the amounts he drank together

1 1/3 + 1 1/2 + 1 2/3 + 3/4

because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.

1 1/3 = 4/3 = 16/12    1 1/2 = 3/2= 18/12    1 2/3 = 5/3= 20/12   3/4 = 9/12

now add them all together

16/12 + 18/12 + 20/12 + 9/12 = 63/12

now convert the original 6 cups to an improper fraction with the denominator of 12

6 = 72/12

now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)

72/12 - 63/12 = 9/12

9/12 is able to be simplified to 3/4

so the correct answer is B, or 3/4

Answer:

I believe the y is parallel :)))))))))

Answer:

35 degrees

Step-by-step explanation:

70 divided by 2 is 35.

And both sides are equal to each other bc the lines are parallel.

Answer:

y = 1.75

x = 1.25

Step-by-step explanation:

Since the triangles have equal angles, you can use ratios to solve for x and y.

For y:

[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]

Subtract 7 from a to find y.

y = 8.75 - 7

y = 1.75

For x:

[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]

Subtract 5 from b to find x.

x = 6.25 - 5

x = 1.25

Answer:

The answer is translation :)

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

Answer:

We have the expression:

(n + 2)^2 - (n - 2)^2

Let´s break the parentheses:

(n + 2)^2 = n^2 + 4*n + 4

(n - 2)^2 = n^2 - 4n + 4

Then:

(n + 2)^2  - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =

                                 = (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n

Then for any natural value of n, 8*n will be a multiple of 8.

Answer:

the best interest rate would be a minimum of 3.5% annual interest

Step-by-step explanation:

An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.

Answer:

CD = 5

Step-by-step explanation:

Given that ∆ACB is congruent to ∆DCE, it follows that their corresponding angles and corresponding side lengths are congruent to each other. Thus:

AC is congruent to CD,

BC is congruent to EC, and

AB is congruent to DE.

Since AC = 5, therefore CD = 5.

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

-4 + 32i

Step-by-step explanation:

use the distributive property to multiply

remember: i^2 = 1

(4 - 6i)(-4 + 2i)

-16 + 8i + 24i - 12i^2

-16 + 32i - 12(- 1)

-16 + 32i +12

-4 + 32i

Answer:

4 - (6 * i)) * ((-4) + (2 * i)) =

-4 + 32 i

Step-by-step explanation:

Answer:

The correct answer is B ; Karla must determine the area of a floor in her house.

Answer:

2.5

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

To divide fractions, you flip the second fractions and change it to multiplication.

(3/2) / (3/5) =

(3/2) x (5/3)

To multiply them, you just multiply their numerators together to get the new numerator and multiply the denominators together to get the new denominator.

(3/2) x (5/3) =

(3 x 5) / (2 x 3) =

15/6

This can be reduced to:

5/2

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Answer:

0.88

Step-by-step explanation:

-5.37 + 8.14 - 1.89

-5.37 + 6.25

= 0.88

Step-by-step explanation:

please i worked on paper worksheet

please see it

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

[tex]-10x\leq 40[/tex]

divide by -10, which means you need to flip the inequality sign since youre dividing by a negative number

[tex]x\geq -4[/tex]

Answer:

The anwer is D

Step-by-step explanation:

up up up......

Answer:

both are linear

a) 6x - y = 7

b) 2x - y = -5

Step-by-step explanation:

um kevin bought 31.50 of what? food?

Answer:

[tex]y = 320x +2080[/tex]

Step-by-step explanation:

Given

Population in 1995 = 2400

Population in 2000 = 4000

Required

Determine the linear equation

Let the years be represented with x.

In 1995, x = 1 i.e. the first year

In 2000, x = 6

Let y represents the population

When x = 1; y = 2400

When x = 6; y = 4000

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4000 - 2400}{6 - 1}[/tex]

[tex]m = \frac{1600}{5}[/tex]

[tex]m = 320[/tex]

Next, we calculate the line equation as follows:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 2400 = 320(x - 1)[/tex]

[tex]y - 2400 = 320x - 320[/tex]

[tex]y = 320x - 320 + 2400[/tex]

[tex]y = 320x +2080[/tex]

Answer:

45

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

Answer:

The original price of the lawnmower is $ 1,528.

Step-by-step explanation:

If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:

100 - 9 = 91

91 = 1,390.49

100 = X

(100 x 1,390.49) / 91 = X

139.049 / 91 = X

1.528 = X

Thus, the original price of the lawnmower is $ 1,528.

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same