PLEASE HELP I’M SO CONFUSED


A plumber charges a customer based on the number of hours worked. The cost can be determined by the function C(h) = 45h + 75 where h is the number of hours worked

a. What is the hourly rate of the plumber?

b. If the bill totaled $311.25, how many hours did the plumber work?

Answers

Answer 1

Answer:

a. $45 an hour

b. 5.25 hours

Step-by-step explanation:

a. The plumber charges $75 per job, so it is irrelevant to the number of hours they work. 45(h) is $45 multiplied by the number of hours they work.

b.

First, plug the numbers into the equation, the cost being C(h):

311.25 = 45(h) + 75

Next, subtract $75 as it is a set price that is always payed:

236.25 = 45(h)

Then, divide both sides by 45 to find how many hours were worked:

h = 5.25

Hours = $5.25


Related Questions

can someone pls help

can someone pls help

Answers

Answer:

The answer is C

Step-by-step explanation:

hope this helps

Answer: D

Step-by-step explanation: Not a because it's not talking about how it's here to stay

not b because its not explain anything again

not c because it's talking about restaurants

D is correct because it's talking about how much better is helping the environment

The movie theatre is running a special for the
weekend to celebrate its 10th anniversary!
Movie tickets usually cost $20 but the special
for the weekend is only $8 a ticket. How much
is the movie theatre discounting the tickets?

Answers

Answer:

12$

Step-by-step explanation:

20 - 8 = $12

Answer:

12

Step-by-step explanation:

20 - 8 = 12 left over......

Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y

Answers

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')

Answers

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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symmetry is the property of a geometric figure such that when the figure is transformed, the _____ coincides with the preimage.

Answers

Symmetry is the property of a geometric figure such that when the figure is transformed, the image coincides with the preimage.

In other words, symmetry refers to a balanced arrangement or structure that remains unchanged or looks the same after a specific transformation.

When a geometric figure possesses symmetry, there are certain transformations that can be applied to it without altering its overall appearance.

These transformations include reflections, rotations, and translations. Each of these transformations preserves the shape, size, and orientation of the figure.

For example, if a figure exhibits reflectional symmetry, it means that it can be divided into two equal parts along a line called the axis of symmetry.

When the figure is reflected over the axis of symmetry, the image coincides with the preimage, creating a mirror-like effect.

Similarly, rotational symmetry refers to a figure that can be rotated around a central point by a certain angle, and after the rotation, the image aligns perfectly with the original shape.

The angle of rotation corresponds to the degree of rotational symmetry.

Overall, symmetry is a fundamental concept in geometry that describes the balance and invariance of a figure under specific transformations, ensuring that the image coincides with the preimage.

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whats 9 plus 10 and how to add 1 plus the number 2

Answers

Answer:

9 + 10 = 19

1 + 2 = 3

Step-by-step explanation:

To add 2 to 1, look at a number line and start at the point 1 and go two numbers to the right to end at 3.

Answer:

I believe its 22

Step-by-step explanation:

9+10=19

19+1=20

20+2=22

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in
miles per hour, during the interval 0.75 to 1.00 hours?

The table shows how far a distance runner has traveled since the race began. What is her average rate

Answers

Answer:

B

Step-by-step explanation:

Just took test on edge.

The average rate of change will be 5 miles per hour during 0.75 to 1 hour.

How to calculate the average rate of change?

The average rate of change is the ratio of change in the y-value or the function value by the change in the x-value.

So according to the question,

the interval between o.75 to 1 hour is =1-0.75=0.25 hour

At 0.75 hours elapsed, the distance traveled is 3.5 miles

at 1 hour elapsed, the distance traveled is 4.75miles.

during the interval, 0.75 hours to 1-hour distance travelled=4.75-3.5=1.25 miles

average rate of change will be = change in distance traveled during the interval/interval time

=(4.75-3.5)/(1-0.75)=1.25/0.25=5 miles per hour

Therefore the average rate of change will be 5 miles per hour during 0.75 to 1 hour.

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Match the following transportation characteristics with the appropriate mode of transportation Which mode of transportation has the most capability? Which mode of transportation provides the most accessibility? Which mode of transportation is the most reliable? Which mode of transportation is the fastest over a long distance? Which mode of transportation has the lowest per-unit cost? Water Air Rail 3PL Cross-Docking Truck Intermodal Pipeline 4 points Match the following descriptions with the appropriate transportation intermediary. What transportation intermediary consolidates LTL shipments into FTL shipments (i.e., they take small shipments from multiple companies and consolidate them into larger shipments)? What transportation intermediary is a nonprofit cooperative which arranges for members' shipments? What transportation intermediary brings shippers and carriers together? What transportation intermediary purchases blocks of rail capacity and sells it to shippers?

Answers

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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For questions 7 – 8, use the following functions: f(x) = 4x + 3x g(x) = 2x – 5 7. Find (f + g)(x). 8. Find (f – g)(x).

For questions 7 8, use the following functions: f(x) = 4x + 3x g(x) = 2x 5 7. Find (f + g)(x). 8. Find

Answers

Answer:

7) (f+g) (x) = 4^x + 5x -5

8) (f-g) (x) = 4^x + x - 5

Step-by-step explanation:

7)  Find (f +g)(x)

(4^x + 3x + 2x - 5)

(4^x + 5x -5)

(f+g) (x) = 4^x + 5x -5

8) Find (f-g)(x)

(4^x + 3x - 2x - 5)

(4^x + x - 5)

(f-g) (x) = 4^x + x - 5

Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2

Answers

Answer:

-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4

Good Luck!!!

In a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another (T/F)?

Answers

It is true that in a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another.

ANOVA, which represents the analysis of variance, is a statistical test used to examine the distinction between the means of more than two groups.

One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.

In a one-way ANOVA scenario, the overall F value must be statistically significant for more than two of the means to be significantly different.

thus we can say that the given statement is true.

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What is 5(−3.4k−7)+(3k+21) pls

Answers

Answer:

50k-14

Step-by-step explanation:

this is middle school level work, I had 117% in algebra 2 last year

A game is played by spinning a wheel that contained the words Roll and Flip. The wheel has 10 slots, with Roll written six times and Flip written four times. If the wheel lands on Roll, the player rolls a die that has one red side, two blue sides and three green sides. If the wheel lands on Flip, the player watches a coin toss. Use the information to create the following area model.

If the player wins by rolling green or calling heads, if this a fair game? Why or why not?


a. Yes the game is fair because the player has equal probability of winning or losing.
b. No, the game is not fair because the probability of rolling each color is different.
c. Yes, the game is fair because the probability of rolling each color is different.
d. No, the game is not fair because the player has equal probabilities of winning or losing.

A game is played by spinning a wheel that contained the words Roll and Flip. The wheel has 10 slots,

Answers

The game is fair because the player has equal probability of winning or losing. Option a is the answer.

Step by step explanation

The total number of slots on the wheel is 10, with 6 of them labeled as Roll and 4 of them labeled as Flip. Therefore, the Roll section of the rectangle will occupy 6/10 or 3/5 of the total area, while the Flip section will occupy 4/10 or 2/5 of the total area.

Next, we need to determine the probability of winning by rolling green or calling heads. Since the player only rolls the die if the wheel lands on Roll, we need to find the probability of landing on Roll and then rolling green. The probability of landing on Roll is 6/10, and the probability of rolling green on the die is 3/6 or 1/2. Therefore, the probability of winning by rolling green is (6/10) * (1/2) = 3/10.

Similarly, the player only watches the coin toss if the wheel lands on Flip. If the player calls heads and the coin lands on heads, they win. The probability of landing on Flip is 4/10, and the probability of the coin landing on heads is 1/2. Therefore, the probability of winning by calling heads is (4/10) * (1/2) = 2/10 or 1/5.

To determine if the game is fair, we need to compare the probability of winning to the probability of losing. The probability of winning is 3/10 + 1/5 = 5/10 or 1/2.

Since there are only two outcomes (winning or losing), the probability of losing is also 1/2. Therefore, the game is fair.

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Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?

Answers

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

In circle H with m/GHJ = 46 and GH = 4 units find area of sector GHJ. Round
to the nearest hundredth.
G
1
H
rann

In circle H with m/GHJ = 46 and GH = 4 units find area of sector GHJ. Roundto the nearest hundredth.G1Hrann

Answers

Area of sector GHJ ≈ 2.04 square units

Area of sector calculation.

Since we are given the central angle GHJ in degrees and the radius GH of circle H, we can find the area of sector GHJ using the formula:

Area of sector GHJ = (θ/360) × πr^2

where θ is the central angle in degrees and r is the radius.

Substituting the given values, we get:

Area of sector GHJ = (46/360) × π(4)^2

= (0.1278) × 16π

= 2.0448 square units

Rounding to the nearest hundredth, we get:

Area of sector GHJ ≈ 2.04 square units

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For which equation is x=5 a solution? Help me please ty :)
A.2+x=3 C.x/2=10
B.3x=15 D.x-7=12

Answers

Answer:

B)3x=15

Step-by-step explanation:

3x=15

x=15/3

x=5 (proven)

-12=4f-24

Solve for f

Answers

Answer: f=3

Step-by-step explanation:

Can you please help me do this?!

Can you please help me do this?!

Answers

Answer:

y=-2

Step-by-step explanation:

-16=8y

Divide both sides by 8...

y=-2

4(14-5)²÷2
HELP ASAP TY

Answers

Answer:

I think it's 162.

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Following PEMDAS

4(14-5)^2 ÷2

4(9)^2 ÷ 2

4(81) ÷2

324÷2

162

A pyramid is 24 ft tall. A scaledmodel has a height of 2 ft andis 1 foot wide at the base.Identify the scale factor that wasused to create the model

Answers

For this case we know that the real pyramid is 24 ft of tall

And we also know that we have a scaled model with a height of 2ft and a wide of 1ft in the base

Since the scale model preserve the factors between all the dimensions (that means if we compress by a factor of 1/2 all the dimensions would be compressed 1/2), we can do the following taking in count just the heights given:

\(\text{Scale factor = }\frac{real\text{ height}}{scale\text{ height}}=\text{ }\frac{24\text{ ft}}{2ft}=\text{ 12}\)

So then the answer for this case would be 1/12 or 1:12 for the scale figure

Zeke's Steakhouse has two locations in Alabama. Suppose Zeke would like to test to see if there is a difference in population mean customer bill (per person) at his two locations (1,2). Random samples of bills are taken for each location and the following data are recorded: Sample 1: n1= 25, X 1 = $22.44, s1= $6.25 Sample 2: n2= 36, X 2 = $16.23, s2= $3.11 What is the test statistic assuming unequal population standard deviations?

Answers

The test statistic assuming unequal population standard deviations for the given data is 4.585.

A test statistic is a quantity computed from sample data to assess the likelihood of obtaining the observed results under the null hypothesis.

The given problem requires a two-tailed t-test with unequal standard deviations.

Given that:

Sample 1:

\(n_1= 25,\\X_1 = $22.44,\\s_1= $6.25\)

Sample 2:

\(n_2= 36,\\X_2 = $16,\\s_2= $3.11\)

The formula for the test statistic in the two-sample t-test with unequal variances is calculated as follows:

\(t = \dfrac{(X_1 - X_2)}{\sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})}}\)

 \(= \dfrac{(22.44 - 16.23)}{\sqrt{(\frac{6.25^2}{25}) + (\frac{3.11^2}{36})}}\\= \dfrac{(22.44 - 16.23)}{\sqrt{(1.5625 + 0.269225)}}\\= \dfrac{6.21}{\sqrt{1.831725}}\\\approx 4.585\)

Thus, the test statistic is 4.585 assuming unequal population standard deviations.

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Solve: -8 = -7 + X x =

Answers

-8 = -7 + X

- 8 + 7 = X (Adding 7 to both sides of the equation)

-1 =x (Subtracting)

The answer is x=-1.

the answer of -8 = -7 +Xx is x= -1

what is the end behavior of f(x)=√2x+4

Answers

Answer:

f'(x)= -x

Step-by-step explanation:

f'(x)= -1/2(2x)

f'(x)= -x

How do you solve longest side?

Answers

Let the other two sides of a triangle = a, b and the angle between them be A
The cosine rule tells us
The third side (or c lets say):
c^2 = a^2 + b^2 - 2ab•cos(A)

Determine whether the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) = R if and only if

a) x + y = 0.

b)x= £y.

c) x - yis a rational number.

d) x = 2y.

e) xy > 0.

f) xy = 0.

g) x = 1

h) x = 1 or y = 1

Answers

For the given question x + y = 0 is reflexive, x= £y is Transitive, ) x - y is a rational number is transitive, x = 2y is reflexive, xy > 0 is transitive, xy = 0 is reflexive,  x = 1 is transitive,  x = 1 or y = 1 is neither reflexive nor symmetric nor antisymmetric nor transitive.


a)

We have f(x , y) : x + y =0, (x, y) ∈ R

Now, since (x, y) ∈ R

(0, 0) ∈ f(x , y)

Hence it's reflexive

x + y = 0

hence, x = -y

hence f maps the pairs of additive inverse

Therefore for a number a,

(a , -a) ∈ f(x , y) also, (-a , a) ∈ f

but there cannot be a triplet of additive inverse.

Hence f is not transitive

b)

x = ± y

Here any number (a , a) can belong to the relation

Hence, the relation is reflexive

If (a , -a) ∈ R, then (-a , a) ∈ R as well. Hence it's symmetric.

(a , -a) ∈ R (-a , a ) ∈ R, then (a , a) ∈R. Hence its Transitive

c)

R : (x , y) : x - y ∈ Q

a - a = 0 is a rational number hence

(a , a) ∈ Q

Hence R is reflexive

If a - b ∈ Q, the definitely b - a ∈ Q

Hence R is symmetric

Also,

If a - b ∈ Q, b - c ∈ Q then a -c ∈ Q too.

Hence R is transitive

d)

R : x = 2y

If x = 0

then

(0, 0) ∈ R, hence R is reflexive

For any number (a , 2a) ∈ R, then

(2a, a) cannot ∈ R

Hence it is antisymmetric

Similarly

if (2a, 4a) ∈ R, then (a, 4a) cannot belong to R hence it is not transitive

e)

Clearly,

(a , a) ∈ R

Hence it is reflexive.

Also, if (a , b) ∈ R, then (b , a) ∈ R too. Hence it is symmetric

For positive integers a, b, and c

ab > 0, bc>0 and ac>0

Hence (a, b) (b,c) and (a ,c) ∈ R

Hence it is transitive

f)

xy = 0

Here,

(0 , 0) ∈ R

Hence R is reflexive

Here, (a , 0), (0 , a) ∈R hence it is symmetric

but clearl it is not transitive

g)

x = 1

(1 , 1) ∈ R

Since x has to be 1, it is antisymmetric

for case x = 1, y = 1 and z

(x , y) ∈ R (y , z) ∈ R and (x , z) ∈ R

Hence it is transitive
h) The relation R on the set of all real numbers where (x, y) = R if and only if x = 1 or y = 1 is neither reflexive nor symmetric nor antisymmetric nor transitive.

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Hi can you please help me

Hi can you please help me

Answers

The probability that student chosen at random is 16 years is 0.28.

How to find the probability of the student chosen?

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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Choose the graph that matches the equation below y=3x+1

Choose the graph that matches the equation below y=3x+1

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Explanation: Line A intersects with the y-axis at +1 and has a slope of 3/1x. This would form the equation y = 3x + 1 in y = mx + b form. Therefore, A matches the equation.

Hope this helps! :)

A 12-sided die is rolled. The set of equally likely outcomes is

3,4,5,6,7,8,9,10,11,12) Find the probability of rolling a number greater than 2.

Answers

The probability of rolling a number greater than 2 is 10/10 or 100%.

When rolling a 12-sided die with the set of equally likely outcomes {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, we want to find the probability of rolling a number greater than 2.

Since all the numbers in the given set are greater than 2, we can determine the probability by simply considering the ratio of the favorable outcomes to the total possible outcomes.

In this case, there are 10 favorable outcomes (3 to 12) and 10 total outcomes.

Thus, the probability of rolling a number greater than 2 is 10/10, which simplifies to 1, or 100%

. So, when rolling this specific 12-sided die, you have a 100% chance of rolling a number greater than 2.

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PLEASE HELP!!!! ITS URGENT IM BEGGING HELP

PLEASE HELP!!!! ITS URGENT IM BEGGING HELP

Answers

Answer:

Angle E is equal to angle A and line VC is equal to line BT

Step-by-step explanation:

through AAS, you prove the triangle is simalar

y - 3x= -1 in slope intercept

Answers

Answer:

Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.

Slope: 33

y-intercept: (0,−1)

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

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Find the total amount owed, to the nearest cent, for the following simple interest loans. (3 points each) a. $525 loan at 9.9% interest for 6 months b. $12,460 loan at 5.6% interest for 30 months Write a script to fit a quadratic polynomial to your measured data using a least-squares regression analysis and then use the polynomial coefficients to determine the acceleration and the initial speed and position of the particle. 4. / clases / tienes / cuntas / ?PLEASE HELP WHAT IS THIS UNSCRAMBLED PLEASE HELP!! IM TIMED!!On a road trip, Marcus reads a highway sign that says he is 200 miles from Atlanta. He then looks at his gas gauge, which reads a little over half full. His gas tank holds 10 gallons and his car gets 32 miles per gallon at his current speed of 65 miles per hour. If he maintains this speed, will he make it to Atlanta without having to stop and get gas? In a city, the distance between the library and the police station is 3 miles less than twice the distance between thepolice station and the fire station. The distance between the library and the police station is 5 miles. How far apartare the police station and the fire station?1 mile3 miles4 miles6 miles Why are plastic bottle caps such an issue in water?A - Bottle caps are light weight and LESS dense than water, so they float.B - Water bottles are made of PET which is LESS dense than the ocean water so they sink to the bottom.C - Bottle caps are light weight and MORE dense than water, so they float.D - Water bottles are made of PET which is MORE dense than the ocean water so they sink to the bottom. Which best summarizes the intent of Franklin Roosevelt's Hundred Days legislation and programs?to provide Americans with relief. Find the factorization of the polynomial below.64x2 + 48 x + 9O A. (8x+3)(8x-3)O B. (8x + 9)(8x + 9)O C. (8x+3)(8x + 3)O D. (8x + 9)(8-9) Please help me do this question mathematicians Tim says that every time you mutiply twonumbers the product is larger than the two numbers.Do you agree or disagree? Explain Which of the following are molecules? (Select all that apply.)KMgCl2H2MgGrade -5- Compare and Contrast The Automation Paradox and Heads Up, Humans You collect data on the color of cars driven by students in your statistics class, and want to display this information graphically. Which is the better choice for this data, a bar graph or a histogram? Translate and solve. The quotient of m and 6/7 is 5/6 A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal. between 1960 and 2016, the largest u.s. trade deficit (as a fraction of gross domestic product) was in: Which type of RAID technology keeps two or more drives in sync so that the data one drive is perfectly replicated to the other find the correct answer..... which of the following statements about social structure is false? group of answer choices social structure creates relationships that are generally equal. a predictable social structure makes it easier to develop one's self-concept. social structure creates stability within society. social structure gives us the ability to interpret the social situations we encounter. After my salary was increased by 12%, it was $62,720. What was my salary before the increase?I'll mark brainliest!