Pls Help!!! If 1615 people are all paying someone $6.50 a month how much does that person get paid per month and per year?​

a) after 30 minutes, they will 12.5 m apart

b)  25  is the distance between the boats changing 30 minutes after they leave port

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(west) of the right angle triangle.

Let y represent the length the longer leg(south) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

 = 20^2+15^2

 z = 25

but after 30 minutes one travels 10mph

and another 7.5mph

then

z= 12.5

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Step-by-step explanation:

there must be some additional information missing (like the domain of the function), because just as it is written here, the function f(x) would not have any limitations, and its range would be -infinity < y < +infinity.

so, it is impossible to tell you which answer option is correct.

because again, based on the given information, none of these options is correct.

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

We have to given that;

The initial and terminal points of RS are given below,

⇒ R(11, -4) and S(10, 3)

Hence, We can write as;

R = 11i - 4j

S = 10i + 3j

Hence, The vector as a linear combination of standard unit vectors i and j is,

⇒ RS = S - R

         = (10i + 3j) - (11i - 4j)

         = - i + 7j

Thus, The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

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Answer:

7.75

Step-by-step explanation:

5x3 = 4(4+x)

5x3/4 = 4+x

15/4 = 4+x

3.75 = 4+x

-0.25 = x

Answer:

x = 2

Step-by-step explanation:

This is the intersecting secants theorem.

I am attaching a pic of how it works. I'll try to explain below too.

The formula is : AB x AD = AC x AE

Basically:

AB = 8 (5+3)

AD = 3

AC = (x+4)

AE = 4

Substitute and solve for x.

8 * 3 = (x+4) * 4

24 = 4x + 16

8 = 4x

2 = x

Step-by-step explanation:

radius of large sphere is R,

then volume is (4/3)*pie*R³

and

the radius of small sphere is r,

then volume is (4/3)*pie*r³

condition is,

volume of larger sphere is twice of the volume of smaller sphere.

then, (4/3)*pie*R³=2*(4/3)*pie*r³;

R³= 2r³

R=(2^⅓)*r

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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-2x-12=-x^2 in standard form is x^2-2x-12=0

can you please mark me as brainlist

Answer:

A.

Step-by-step explanation:

6*2 = 12

9*2 = 18

4*2 = 8

Answer is 12 yd. 18 ft. 8 in.

Answer:

10.1119 m or √102.25 m

Step-by-step explanation:

Using our lovely Pythagorean theorem, a² + b² = c², we can find the value of x in this triangle.

Let's say that a = 4.8 and b = 8.9, then set c as x.

(4.8)² + (8.9)² = x²

23.04 + 79.21 = x²

x² = 102.25

x = √102.25

  = 10.111874208...

  ≈ 10.1119

Answer:

22.5 cm

Step-by-step explanation:

P=2(6.75)+2(4.5)

P=13.5+9

The lengths of the diagonals are approximately 10.6 cm and 31.8 cm.

To solve this problem, we can use the formula for the area of a rhombus, which is A = (d₁ x d₂)/2, where A is the area, and d₁ and d₂ are the lengths of the diagonals.

We are given that the area of the rhombus is 168 square centimeters, so we can substitute this value into the formula:

=> 168 = (d₁ x d₂)/2.

We are also given that one diagonal is three times as long as the other, so we can express the length of one diagonal in terms of the other: d₁ = 3d₂.

Substituting this expression for d₁ into the formula for the area, we get:

168 = (3d₂xd₂)/2 336 = 3d₂²2 d₂² = 112 d₂ = √(112) = 10.6 (to the nearest tenth of a centimeter)

Using the expression for d₁ in terms of d₂, we can find the length of the other diagonal:

d₁ = 3d₂ = 3(10.6) = 31.8 (to the nearest tenth of a centimeter)

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Answer:

5

Step-by-step explanation:

AB/EF=BC/FG

4/(X+3)=3/(2X-4)

4(2X-4)=3(X+3)

8X-16=3X+9

8X-3X=16+9

5X=25

X=25/5

X=5

Answer:

y<-1

Step-by-step explanation:

This exponential function will never approach y=-1, but it goes "under" the line of -1, so it is y<-1

The two most vital body systems that are checked when performing the steps of checking the ABCs are the Circulatory and Respiratory Systems.

Blood veins in the circulatory system are responsible for moving blood away from and back toward the heart. Arteries carry blood out from the heart while veins carry it back. Oxygen, nutrients, and hormones are delivered to cells by the circulatory system, which also eliminates wastes like carbon dioxide.

The respiratory system refers to the network of tissues and organs in your body that facilitates breathing. It includes your lungs, blood vessels, and airways. The lungs' moving muscles are a part of the respiratory system. Together, these elements circulate oxygen throughout the body and remove waste gases like carbon dioxide.

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Answer:

A

Step-by-step explanation:

37 is greater than 9

Let's say the sides of the rectangle are represented by integers a and b. The area of the rectangle is a * b, and the perimeter is 2 * (a + b).

To make a * b equal to 2 * (a + b), we must determine the values of a and b. The equation is rearranged to give us: a * b - 2 * a - 2 * b = 0.

Adding 4 to both sides, we can factorize the left-hand side of the equation using the distributive property: we need to find pairs of integers whose difference is 4. These pairs are:

a - 2 = 4 and b - 2 = 1, which gives a = 6 and b = 3

a - 2 = 2 and b - 2 = 2, which gives a = 4 and b = 4

a - 2 = 1 and b - 2 = 4, which gives a = 3 and b = 6

So the sides of the rectangle could be 6 and 3, 4 and 4, or 3 and 6.

Now we need to find pairs of integers whose difference is 4. These pairs are:

a - 2 = 4 and b - 2 = 1, which gives a = 6 and b = 3

a - 2 = 2 and b - 2 = 2, which gives a = 4 and b = 4

a - 2 = 1 and b - 2 = 4, which gives a = 3 and b = 6

So the sides of the rectangle could be 6 and 3, 4 and 4, or 3 and 6

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Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

The equation that represents this situation, where x is the amount Heather received for each hour she danced is:

A)  \($ 956 \frac{x}{12} = 1452.80\)

Two mathematical expressions' values are said to be equal in an equation, which is a statement of this fact. A mathematical formula declares that two things are equal. The equals sign ('=') is used to indicate it.

For instance, the equation is 8+2=12-2.

According to the aforementioned equation, the left side and right side of the equation are equal. Accordingly, an equation is a statement that says "this equals that."

A single line is considered linear. These are equations of the form Y=ax+b, where a and b are numbers and x cannot be zero. There are no exponents for "x" in these equations. The equation Y=4x+3 is linear equation.

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Answer:

$1.35

Step-by-step explanation:

8n = 10.80

Divide both sides by 8 to get n alone.

n = 10.80/8 = $1.35

Answer:

The answer is 5,512.

Step-by-step explanation:

Multiply 53 times 13 times 8

Answer:

kbjlhbkhhhiljb jkbhiphouhkvguohyuhlj vguhbkhuobjk

Step-by-step explanation:

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer:

3 +40+2=6u-30

45-6u-30

The valid statement about the value of the correlation coefficient (r) is:

"The correlation between the height and BMI of 10th graders is 0.82."

The reason this statement is valid is that the correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given statement, it is mentioned that the correlation coefficient between height and BMI of 10th graders is 0.82. This indicates a strong positive correlation between height and BMI, suggesting that as height increases, the BMI tends to increase as well.

The other statements provided do not represent valid examples because they either contain incorrect values for the correlation coefficient (e.g., r = 3.1) or provide correlation coefficients that are not correctly interpreted (e.g., stating a correlation coefficient in terms of dollars).

Therefore, the statement about the correlation between the height and BMI of 10th graders having a correlation coefficient of 0.82 is the valid statement.

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Answer:

b num i think only not sure

Solution to the system of equation y = 0.7x − 2 and 2x + y = 25 is (- 27, - 9).

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given are two equations y = 0.7x − 2 and 2x + y = 25.

Now let us write these equations in a similar manner.

y = 0.7x − 2 ⇒ - 0.7x + y = - 2...(i)

2x + y = 25...(ii)

Now subtracting eqn(i) from eqn(ii) to cancel out the term y we get

2.7x = - 27.

x = - 10 and substituting the value of x in any one of the equations we get

y = 0.7(-10) - 2.

y = - 7 - 2.

y = - 9.

So, one of the solutions to the system of equations is (- 27, - 9).

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To find the speed of the plane and the wind velocity, we can set up a system of equations based on the given information.

Let's denote the speed of the plane as "p" (in mph) and the wind velocity as "w" (in mph).

From the first leg of the trip, we can write the equation:

(p + w) * 4 = 892

From the second leg of the trip, we can write the equation:

(p - w) * 4 = 548

We can solve this system of equations to find the values of "p" and "w".

Simplifying the first equation:

4p + 4w = 892

Simplifying the second equation:

4p - 4w = 548

Now, we can solve these equations using any method, such as substitution or elimination.

Let's use the elimination method:

Multiply the second equation by (-1):

-4p + 4w = -548

Add the equations together:

4p + 4w - 4p + 4w = 892 - 548

8w = 344

Divide both sides by 8:

w = 43

Now, substitute the value of "w" back into one of the original equations, let's use the first equation:

4p + 4(43) = 892

4p + 172 = 892

4p = 892 - 172

4p = 720

Divide both sides by 4:

p = 180

Therefore, the speed of the plane is 180 mph and the wind velocity is 43 mph.

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Answer:

35 hours

Step-by-step explanation:

Clara worked for 35 hours because when you do $315/9 it equals 35. So 35 represents the hours she worked last week, and then the equation would just be, 315/9.

The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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