Using a = 5, b = 12 and c = 13, is triangle ABC a right angle triangle? Yes or No​

Answers

Answer 1

The triangle with sides 5, 12 and 13 is a right triangle.

How to know a right angle triangle?

A triangle can be checked if it's a right triangle by using the Pythagoras theorem as follows:

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse sidea and b are the other legs

Now let's check if the triangle with side 5, 12 and 13 is a right triangle.

Recall the longest side is the hypotenuse.

Therefore,

5² + 12² = 13²

25 + 144 = 169

Thus, the triangle with sides 5, 12 and 13 is a right triangle.

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Related Questions

Jaime claims that when you multiply a whole number by 100, the decimal point moves two places to the right. Salome argues that the decimal point only moves when you multiply a number by a 100. Salome says that when you multiply a whole number by 100, the product has to extra zeros.

Answers

Answer:

Jaime

Step-by-step explanation:

Jaime claims that when you multiply a whole number by 100, the decimal point moves 2 places to the right. Salome argues that the decimal point only moves when you multiply a decimal by 100. Salome says that when you multiply a whole number by 100, the product has 2 extra zeros. Who is correct?

Jaime is more correct

When converting a DECIMAL into percentage (%), decimal points will move two places to the LEFT

When multiplying a WHOLE number by 100, the decimal point moves two places to the RIGHT.

Is the equation shown proportional? y=1.2x

Answers

can you show a graph or a table?

Answer:

yes

Step-by-step explanation:

A proportional equation is of the form

y = kx and the constant of proportionality is k

y = 1.2x  is proportional

.Marta found a website that sells her favorite style of coffee mugs. She writes the function C(m)=4.50 m+7, where C(m) represents the total cost of ordering m mugs, to decide how many mugs to order. Determine whether each statement about the features of the function is true or false in terms of the context.
The range is {y l y ≥ 11.5\}.
The domain is all real numbers.
The y-intercept is 4.5.
There is no x-intercept.
The rate of change is $ 4.5 per mug.

Answers

1. For the provided function the statement "The range is {y l y ≥ 11.5\}" is True.

2. For the provided function the statement "The domain is all real numbers" is True.

3. For the provided function the statement "The y-intercept is 4.5" is False.

4. For the provided function the statement "There is no x-intercept" is True.

5. For the provided function the statement "The rate of change is $ 4.5 per mug" is True.

Let's analyze each statement about the features of the function C(m) = 4.50m + 7 in terms of the context:

1. The range is {y | y ≥ 11.5}.

The range represents the set of all possible values of y (total cost) for different values of m (number of mugs).

In this case, since the cost C(m) is given by 4.50m + 7, any value of m will result in a total cost (y) that is greater than or equal to 11.5.

Therefore, the range is {y | y ≥ 11.5}.

2. The domain is all real numbers.

The domain represents the set of all possible input values for m.

In this case, since there are no restrictions or limitations on the number of mugs that can be ordered, the domain includes all real numbers.

So, the statement is true.

3. The y-intercept is 4.5.

The y-intercept is the value of y (total cost) when m (number of mugs) is zero.

Substituting m = 0 into the equation C(m) = 4.50m + 7, we get C(0) = 4.50(0) + 7 = 7.

Therefore, the y-intercept is 7, not 4.5.

4. There is no x-intercept.

The x-intercept represents the value of m (number of mugs) where the total cost C(m) is zero.

If we set C(m) = 0 and solve for m in the equation 4.50m + 7 = 0, we get m = (-7) / 4.50. Since m represents the number of mugs, it doesn't make sense to have a negative or fractional value for m in this context.

Therefore, there is no x-intercept.

5. The rate of change is $4.5 per mug.

The coefficient of m in the equation C(m) = 4.50m + 7 represents the rate of change, which indicates how the cost changes as the number of mugs increases.

In this case, the rate of change is $4.50 per mug, meaning that for each additional mug ordered, the total cost increases by $4.50.

Therefore, the statement is true.

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Calculate the angle of inclination, to the nearest tenth of a degree, of a road with a grade of 19%. a.79.0° b.79.2° c.10.8° d.11.0°.

Answers

Final answer:

The angle of inclination of a road with a grade of 19% is approximately 10.8 degrees, which is calculated by using the inverse tangent formula in trigonometry.

The correct answer is C).

Explanation:

The angle of inclination, or grade, in terms of percentage, represents the rise (vertical distance) over the run (horizontal distance). The measure of the angle of inclination in degrees can be found by using the inverse tangent (tan-1) formula in trigonometry. To be specific, if a road has a 19% grade, it means for every 100 units (meters, feet, etc.) of horizontal distance, there is a 19 unit rise in vertical distance.

An angle θ can be calculated using tan-1(rise/run) = tan-1(19/100).

When you compute this, θ equals approximately 10.8 degrees.

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Four wrestlers made a pact to lose some weight before their wrestling competition. Campbell lost 6 pounds, Alex lost 5 pounds, and Eric lost 9 pounds. If their average weight loss was 7 pounds each, over a 3-week period of time, how many pounds did Rock lose?

Answers

Answer:

8lb

Step-by-step explanation:

6+5+9=20

28-8=20

28/4=7

average=mean

The Sweet water High School Project Graduation committee is hosting a dinner-and-dance fundraiser at the Sweet water Community Center. The committee hopes to raise at least $7500 with this event. Tickets for the fundraiser are $75.00 per couple, and they have to pay a $375 fee for renting the community center. Write and solve an inequality to determine the minimum number of tickets they need to sell to reach their goal.

Answers

Answer:

At least 105 tickets must be sold for there to be a 7500 dollar profit

Step-by-step explanation:

Let c = number of couple tickets

ticket sales - costs = profits

We want profits greater than 7500

75c - 375 ≥ 7500

Add 375 from each side

75c-375+375 ≥ 7500 +375

75c ≥ 7875

Divide each side by 75

75c/75 ≥ 7875/75

c ≥ 105

At least 105 tickets must be sold for there to be a 7500 dollar profit

An ash borer is an invasive pest whose larvae eat the pulp of ash trees as they mature. A park ranger has a tree that is infested with ash borers. She estimates they have eaten approximately 40% of the tree's pulp. If the ash tree's trunk has a radius of 2 feet and a height of 15 feet, what was the total volume of the tree trunk before the ash borers started eating it?

Answers

Answer:

[tex]188.6[/tex] cubic feet

Step-by-step explanation:

Let r, h denotes radius and height of the tree's trunk.

Radius of the tree's trunk = 2 feets

Height of the tree's trunk = 15 feets

The tree's trunk is in the shape of a cylinder.

Volume of cylinder (tree's trunk) [tex]=\pi r^2h[/tex]

Put [tex]r=2\,,\,h=15[/tex]

Volume of the tree's trunk [tex]=\pi (2)^2(15)=60\pi[/tex] cubic feet

Put [tex]\pi=\frac{22}{7}[/tex]

So,

Volume of the tree's trunk [tex]=60(\frac{22}{7})=\frac{1320}{7}=188.6[/tex] cubic feet

Consider the following.
y = 2xe−x, y = 0, x = 2; about the y-axis
Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis.

Answers

Volume of the solid obtained by rotating the region bounded by curve y = 2xe⁻ˣ, y = 0, x = 2 about y-axis is [tex]$$V = \int_0^2 2\pi y \sqrt{2}\ dy$$[/tex]

To apply the cylindrical shell method, we have to consider vertical cylinders, whose height is same as the height of the curve and whose radius is the perpendicular distance from the axis of rotation to a point on the curve.

Volume of each cylinder is given by formula:

[tex]$$V_\text{cylinder} = 2\pi rh\Delta x$$[/tex] where h the is height of cylinder and r is radius. To obtain the volume of the solid, we add the volume of all the cylindrical shells.

To set up the integral, we have to find the expression for r and h and since we are rotating about y-axis, we need to express x in terms of y. From the equation,

y = 2xe⁻ˣ, we have:[tex]$$x = \frac{y}{2e^{-x}}$$[/tex]

We can use the property that [tex]e^(-x)[/tex] is the reciprocal of [tex]e^x[/tex] to write:

[tex]$${e^x} = \frac{1}{e^{-x}}$$[/tex]

Substituting, we get: [tex]$$x = \frac{y}{2}e^x$$[/tex]

Next, we find the limits of integration. The curve y = 2xe⁻ˣ, y = 0, x = 2 encloses a region in the first quadrant.

To find the limits of integration, we need to solve for the two points of intersection of the curve with the axis of rotation. We get:

[tex]$y = 2xe^{-x}[/tex]

[tex]= 0$$x[/tex]

[tex]= 0$ or $x[/tex]

[tex]= 2$[/tex]

Hence, we integrate from 0 to 2.To express r and h in terms of y, we draw a diagram of a typical cylindrical shell and the region being rotated:

From the diagram, we see that:

[tex]$r = x[/tex]

[tex]= \frac{y}{2}e^x[/tex]

[tex]= \frac{y}{2}e^{\ln 2y}[/tex]

[tex]= y \sqrt{2}$$h[/tex]

=[tex]\Delta x[/tex]

= [tex]dx$[/tex]

Thus, the volume of each cylindrical shell is:

[tex]$$dV = 2\pi rh\ dx[/tex]

[tex]= 2\pi y \sqrt{2}\ dx$$[/tex]

The total volume is obtained by integrating from 0 to 2: [tex]$$V = \int_0^2 2\pi y \sqrt{2}\ dy$$[/tex]

Volume of the solid obtained by rotating the region bounded by curve y = 2xe⁻ˣ, y = 0, x = 2 about y-axis.

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Given f(x) = 2x, find the value of f’(3)

Answers

Answer:

2

Step-by-step explanation:

First, take the derivative of 2x:

f(x)=2x becomes f'(x)=2

now since this is a constant regardless of what x you "plug" in you will have 2.

189. Which of the following integers has the
greatest number of factors ?
A 24
B 42
C 36
D 50

Answers

Answer:

i think its C but I'm still not sure.

C1 Consider the statement "If t, v, w€ R" such that i. vi.w, then ✓ = W." (a) If the statement is true, prove it. If it is false, provide a counterexample. (b) If we specify i 0, does this change the result?

Answers

The statement "If t, v, w € R³ such that vi. w, then v = w" is false. A counter-example can be provided to show that there exist vectors v and w in R³ such that their dot product is zero but v is not equal to w. The statement remains false even if we specify i = 0.

To prove that the statement is false, we can provide a counterexample. Let v = (1, 0, 0) and w = (0, 1, 0). Both v and w are vectors in R³. The dot product of v and w is given by v · w = (1)(0) + (0)(1) + (0)(0) = 0. However, v is not equal to w, so the statement "vi. w implies v = w" is false.

Even if we specify i = 0, the statement remains false. For example, consider v = (1, 0, 0) and w = (0, 0, 1). The dot product of v and w is still zero (v · w = 0), but v is not equal to w. Therefore, specifying i = 0 does not change the result.

In conclusion, the statement "If t, v, w € R³ such that vi. w, then v = w" is false. A counterexample can be provided to demonstrate that the statement does not hold true. Additionally, specifying i = 0 does not change the fact that the statement is false.

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From a survey of coworkers you find that 42% of 150 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.339.0.501). Which of the following are true? If not, explain briefly. ses a) 95% of the coworkers fall in the interval (0.339,0.501). b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%. om c) There is a 95% chance that a randomly selected coworker has received the vaccine. d) There is a 42% chance that a randomly selected coworker has received the vaccine. e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

Answers

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.



The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

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HEY CAN YALL PLS ANSWER DIS RQ

Answers

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Solve the equation:
3x - x + 4 = 4(2x +1)

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

3x - x + 4 = 4(2x + 1)

Step 2: Solve for x

Distribute: 3x - x + 4 = 8x + 4Combine like terms: 2x + 4 = 8x + 4Subtract 2x on both sides: 4 = 6x + 4Subtract 4 on both sides: 0 = 6xDivide both sides by 6: x = 0

Step 3: Check

Plug in x to verify it's a solution.

3(0) - 0 + 4 = 4(2(0) + 1)

4 = 4(1)

4 = 4

Answer:

x = 0

Step-by-step explanation:

3x - x + 4 = 4(2x +1)

2x + 4 = 8x + 4

2x - 8x = 4 - 4

-6x = 0

x = 0

Suppose that 20% of voters are in favor of certain legislation- A large number n of voters are polled and a relative frequency estimate £3111} for the above proportion is obtained. a) Use the Chebyshev inequality to determine 1101? many voters should be polled in order that the probability is at least 0.95 that fan) differs from 0.20 by less than 0.02. b} Use central limit theorem to determine how many voters should be polled in order that the probability is at least 0.95 that £311: 11} differs from 0.20 by less than 0.02.

Answers

A.  To ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b. We find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

n > 2401

a) Using the Chebyshev inequality, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02.

The Chebyshev inequality states that for any random variable X with mean μ and standard deviation σ, the probability of X deviating from the mean by k standard deviations is at least 1 - 1/k^2.

In this case, we want the relative frequency estimate to deviate from 0.20 by less than 0.02, which means we want the difference to be within 0.02 standard deviations of the mean. Since the relative frequency estimate is a sample proportion, its standard deviation can be approximated by sqrt(p(1-p)/n), where p is the true proportion (0.20) and n is the sample size.

We can set up the inequality as follows:

1 - 1/k^2 ≥ 0.95

Solving for k:

1/k^2 ≤ 0.05

k^2 ≥ 1/0.05

k^2 ≥ 20

Taking the square root of both sides:

k ≥ sqrt(20)

k ≥ 4.47

To ensure that the difference between the relative frequency estimate and 0.20 is within 0.02, we need k standard deviations to be less than 0.02. So, we have:

k * sqrt(p(1-p)/n) < 0.02

4.47 * sqrt(0.20(1-0.20)/n) < 0.02

Simplifying:

sqrt(0.20(1-0.20)/n) < 0.02/4.47

sqrt(0.16/n) < 0.00448

0.4/sqrt(n) < 0.00448

sqrt(n) > 0.4/0.00448

sqrt(n) > 89.29

n > 89.29^2

n > 7975.84

Therefore, to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b) Using the central limit theorem, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the sample mean differs from 0.20 by less than 0.02.

According to the central limit theorem, the sample mean follows a normal distribution with mean μ and standard deviation σ/sqrt(n), where σ is the population standard deviation (unknown in this case), and n is the sample size.

To ensure that the difference between the sample mean and 0.20 is within 0.02, we can set up the following inequality:

z * (σ/sqrt(n)) < 0.02

Since the population standard deviation σ is unknown, we can use a conservative estimate by assuming the worst-case scenario, which is p(1-p) = 0.25. Therefore, σ = sqrt(0.25) = 0.5.

Using the standard normal distribution table, we find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

1.96 * (0.5/sqrt(n)) < 0.02

0.98/sqrt(n) < 0.02

sqrt(n) > 0.98/0.02

sqrt(n) > 49

n > 49^2

n > 2401

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Help me solve this problem please sorry if its to small to read but i need help

Answers

Answer:

t4

Step-by-step explanation:

Exponents is basically multiplication. So, if you need to find how much it costs for 4 students then you will multiply tx4.

12.8
-4
Evaluate the expression:

Answers

8.8 the correct answer !!

Which Who is the general form of the equation of the circle shown X2 plus Y2 plus 4X minus 2Y -4 equals zero

Answers

The general form of the equation of the circle is[tex]x^2 + y^2 + 4x - 2y - 4 = 0[/tex]. The general form of the equation of a circle is given by

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]  where (h, k) represents the center of the circle, and r represents the radius.

To rewrite

[tex]x^2 + y^2 + 4x - 2y - 4 = 0[/tex]

into the general form, we need to complete the square on x and y terms. So, we will start by grouping the x and y terms separately as shown below:

[tex]x^2+ 4x + y^2 - 2y - 4 = 0[/tex]

Rearranging terms, we have

[tex](x^2 + 4x) + (y^2 - 2y) = 4[/tex]

Now, we complete the square on the x-term as follows:

[tex](x^2 + 4x + 4) + (y^2 - 2y) = 4 + 4= 8[/tex]

Simplifying, we have

[tex](x + 2)^2+ (y - 1)^2 = 8[/tex]

which is in the general form of the equation of a circle as required. Therefore, the center of the circle is (-2, 1) and its radius is

[tex]\sqrt{8} = 2\sqrt{2} .[/tex]

The standard form of a circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

, where the center is (a, b) and the radius is r. In order to derive the general form of a circle, we square the terms on the left-hand side to get [tex]x^2 + 2ax + a^2 + y^2 + 2by + b^2 = r^2.[/tex]

By rearranging the terms, we arrive at

[tex]x^2 + y^2 + 2ax + 2by + (a^2 + b^2 - r^2) = 0[/tex].

The coefficients of x and y in this equation are used to find the center of the circle, while the radius is obtained by taking the square root of

[tex](a^2 + b^2 - r^2).[/tex]

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Simplify
x + (-3) + 5 -2x

Answers

Answer:

- x + 2

Step-by-step explanation:

Step 1:

x + ( - 3 ) + 5 - 2x    Equation

Step 2:

x - 3 + 5 - 2x    Open Parenthesis

Step 3:

- x - 3 + 5      Subtract

Answer:

- x + 2     Add

Hope This Helps :)

Answer:

-x+2 is the final answer

Step-by-step explanation:

you first do with the brackets and deduce

n a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 55 and a standard deviation of 10. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 35 and 75?

Answers

According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

We have been given that the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 55 and a standard deviation of 10.

We are asked to find out the approximate percentage of daily phone calls numbering between 35 and 75 using the empirical rule.

The empirical rule is used to describe how many of the observations fall within a certain distance of the mean in a normal distribution of data.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To use the empirical rule, we first need to find the z-scores for the values of 35 and 75. We can use the formula

z = (x - μ) / σ,

where x is the value we want to find the z-score for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

For x = 35, we have

z = (35 - 55) / 10 = -2, and

for x = 75, we have

z = (75 - 55) / 10 = 2.

So, the values of 35 and 75 are 2 standard deviations away from the mean. According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean.

Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

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Help pls? I need help. Which one is it

Answers

Answer:

the Answer is c I just had the same problem

The average sneeze can travel three out of hundred miles in three seconds at this rate how far can you travel in one minute

Answers

Answer:

[tex]1min = 60 \: s \\ three \: seconds - - - - - 300 \: miles \\ 60 \: seconds = 3 \times 20 \: seconds \\ so \: we \: have \: 20 \: of \: three \: sconds \: \\ which \: means \: 20 \: three \: hundreds \: \\ 20 \times 300 = 6000 \: miles \: \\ and \: we \: are \: done.[/tex]

What is the hypothesis of the following statement?
If I study, then I pass the test.
If I study
I study
I pass the test
then I pass the test

Answers

I think the answer is “I pass the test”

Gina’s cost, rounded to the nearest dollar, to operate
a mobile device is a function. Gina’s cost accumulates
over the number of months she has the account,
so months are the input for the function. Since the
function’s domain is defined by its input, what is the
domain of this function? Why?

Answers

The dominate is 34 I did it

The Gonzales family and the brown family each used their sprinklers last summer. The water output rate for the Gonzales family sprinkler was 35 L per hour. The water output rate for the brown family's sprinkler was 30 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1750 L. How long was each sprinkler used?

Answers

Answer:

The Gonzales family used the water sprinkler for 20 hours

The Brown family used the water sprinkler for 35 hours

Step-by-step explanation:

Let represent

Number of hours that the Gonzales family used the water sprinkler = x

Number of hours that the Brown family used the water sprinkler = y

The families used their sprinklers for a combined total of 55 hours

Hence,

x + y = 55 ...... Equation 1

x = 55 - y

The water output rate for the Gonzales family sprinkler was 35 L per hour.

35L × x = 35x

The water output rate for the brown family's sprinkler was 30 L per hour.

30L × y = 30y

The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1750 L.

Hence, we have:

35x + 30y = 1750..... Equation 2

Substitute x = 55 - y in Equation 2

35(55 - y) + 30y = 1750

1925 - 35y + 30y = 1750

Collect like terms

1925 - 1750 = 35y - 30y

175 = 5y

y = 175/5

y = 35 hours

Since:

x = 55 - y

x = 55 - 35

x = 20 hours

Since Number of hours that the Gonzales family used the water sprinkler = x,

The Gonzales family used the water sprinkler for 20 hours

Since number of hours that the Brown family used the water sprinkler = y,

Hence, the Brown family used the water sprinkler for 35 hours

find two consecutive integers whose sum is 77​

Answers

Answer:

                38, 39

Step-by-step explanation:

The difference between two consecutive integers is 1

So if

x  - the smaller number

then

x+1   - the larger number

x + x+1 = 77

  -1          -1

2x = 76

÷2    ÷2

 x = 38

x+1 = 38+1 = 39

How do I find the perimeter for a double headed arrow

Answers

Answer:

The perimeter is the measure or length of the outline of an object or a shape.

The perimeter of the double headed arrow is,

= 7.9 cm + 7.9 cm + 5.1 cm + 5.1 cm + 5.1 cm + 5.1 cm + 1.2 cm + 1.2 cm + 1.2 cm + 1.2 cm.

= 2 × 7.9 cm + 4 × 5.1 cm + 4 × 1.2 cm.

= 15.8 cm + 20.4 cm + 4.8 cm.

= 41 cm.

Step-by-step explanation:

Find the slope of the line descrined by the equation 5x - 3y = 15

Answers

Answer:

The y-intercept is +5

Step-by-step explanation:

3y=-5x + 15 divided by 3

Y=-5/3x +5

Answer: m

=

5

3

Explanation:

Change the equation into the form

y

=

m

x

+

c

5

x

+

3

y

=

15

3

y

=

5

x

+

15

   

÷

3

y

=

5

3

x

+

5

As this is in the slope-intercept form, you can read the slope immediately as

m

=

5

3

The y-intercept is +5

Step-by-step explanation:

The following expression is multiplied:

(2c3)(8c)
What is the leading coefficient of the resulting polynomial?

Answers

Final AnThe leading coefficient of the resulting polynomial is 16.

To find the leading coefficient of the resulting polynomial, we need to multiply the coefficients of the terms with the highest degree in each binomial expression.

The expression given is (2c3)(8c).

1: Simplify each binomial expression separately:

(2c3) = 2 * (c * (c-1) * (c-2))

(8c) = 8 * c

2: Multiply the simplified binomial expressions:

(2c3)(8c) = (2 * (c * (c-1) * (c-2))) * (8 * c)

3: Apply the distributive property and multiply each term:

(2c3)(8c) = 2 * 8 * (c * (c-1) * (c-2)) * c

4: Simplify further:

(2c3)(8c) = 16 * c * (c * (c-1) * (c-2))

5: Rearrange the terms:

(2c3)(8c) = 16 * c * (c-1) * (c-2) * c

6: Combine like terms and multiply coefficients:

(2c3)(8c) = 16 * [tex]c^2[/tex] * (c-1) * (c-2)

7: Multiply the remaining binomial expressions:

(2c3)(8c) = 16 * [tex]c^2 * (c^2[/tex] - 3c + 2)

Step 8: Expand the expression:

(2c3)(8c) = 16 * [tex](c^4 - 3c^3 + 2c^2)[/tex]

9: Identify the term with the highest degree:

The highest degree in the resulting polynomial is 4.

10: Find the coefficient of the term with the highest degree:

The coefficient of the term with the highest degree is 16.

Therefore, the leading coefficient of the resulting polynomial is 16.

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2.85x10^6 / 30000 i need help with that

Answers

Answer:

I think its 95. I'm probably wrong

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