A roof has a cross section that is a right triangle. The diagram shows the approximat
dimensions of this cross section. Find the
height h of the roof.
Y
5.5 m
3.1 m
h
Z
W
х
6.3 m
Height of the roof =
m
(if necessary, round your answer to the nearest tenth)

The coordinate of the point U that divides the line ST in the ratio 2:5 is: (12:6)

The formula for the division of line segments in the ratio m:n is

P = {[(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]}

We are given the coordinates of line Segment ST as: S(10, 2) and T(17, 16)

Thus, if the ratio is 2:5, we have:

U(x, y) = {[(2*17 + 5*10)/(2 + 5)], [(2*16 + 5*2)/(2 + 5)]}

U(x, y) = (84/7), (42/7)

U(x, y) = (12, 6)

Thus, that is the coordinate of the point U that divides the line ST in the ratio 2:5.

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Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Answer:

450\(cm^{3}\)

Step-by-step explanation:

The volume of prism is Base times the height.

The Base you count from surface area. The formula is a*b/2. The a is 18/3, because you have the equilateral triangle. So you count 6*6/2 and get 18 square cm.  

After that you just multiply 18 and 25 and get 450\(cm^{3}\)

I hope this is right

The volume of the prism given with a base of equilateral triangle is 389.71 cm³.

The volume of a prism is the product of the base area and the height of the prism.

The base of the prism is an equilateral triangle that has a perimeter of 18 cm.

Therefore, each side of the prism is

= (perimeter/3)

= (18/3) cm

= 6 cm

Now, the base area of the triangle  is

= (√3/4) × (side)²

= (√3/4) × (6)² cm²

= 9√3 cm²

Now, the volume of the prism is

= base area × height

= 9√3 × 25 cm³

= 225√3 cm³

= 389.71 cm³

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Answer:

7 + 3/8x

Step-by-step explanation:

8+7/8x−1−1/2x.

Combine like terms

8-1  +  7/8x -1/2x

7 + 7/8x -1/2x

Get a common denominator

7 + 7/8x -4/8x

7 + 3/8x

Answer:

9200

Step-by-step explanation:

9.2x10^3 is the same as saying 9.2 multiply 10 three times

The statement which, "backs" value-of-money in United-States is (b) acceptability of it as medium-of-exchange.

The value of money in United-States is primarily backed by acceptability of it as a medium-of-exchange. Money functions as a widely accepted means of payment for goods and services, and people have confidence in its ability to be exchanged for goods, services, and other assets.

This acceptability is based on the trust and faith that individuals and businesses have in the currency and the stability of the economic system it represents.

The other options do not directly back the value of money in the United States.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which of the following "backs" the value of money in the United States?

(a) The gold stored in the Federal Reserve Bank of New York

(b) The acceptability of it as a medium of exchange

(c) The willingness of foreign government to hold U.S. dollars

(d) The size of the budget surplus in the U.S. government.

Answer:

In a 30°-60°-90° right triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

2) DE = 10, DF = 5√3

3) MO = 3√3, LM = 3√3√3 = 9

4) LK = 2√6/√3 = 2√2, JK = 4√2

6) JL = 12√2√3√3 = 36√2,

JK = 24√6

The probability that a chosen student will eat fish or eggs, based on the sample of the students and the number who are vegetarians, is (b) 13/20.

There are 20 students chosen so the sample from the sample is 20 students.

The number of students who eat fish or eggs can be found to be:

= Number of students who eat both fish and eggs + Students who eat eggs but not fish + Students who eat fish but not eggs

= 9 + 3 + 1

= 13 students

The probability that a student eats either fish or eggs is:

= number of students who eat fish or eggs / chosen students

= 13 / 20

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Answer:

26

Step-by-step explanation:

Let 10 be a, and 24 be b, and the undefined hypotenuse be c.

\(a^2 + b^2 = c^2\)

\(10^2 + 24^2 = c^2\)

100 + 576 =  c

c = 676

\(\sqrt{100} + \sqrt{576} = \sqrt{676}\)

\(10^2 + 24^2 = 26^2\)

c = 26

The value of the undefined line is 26.

r = -189

-13 = r/9 + 8

Subtract 8 on both sides

-21 = r/9

Multply 9 on both sides

-189 = r

Answer:

r = -189

Step-by-step explanation:

-13 = r/9 + 8

-13 - 8 = r/9

-21 = r/9

-21 × 9 = r

-189 = r

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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Lorie should deposit $6,986.05 today at 5.25% to have enough money to pay off the loan in 7 months.

To determine the amount that Lorie should deposit today to have enough money to pay off the loan.

We use the simple interest formula for accrued amount.

A = P( 1 + rt )

Where A is total amount, P is initial amount, r is interest rate and t is elapsed time.

Given that;

First, converting R percent to r a decimal

r = R/100

r = 5.25/100

r = 0.0525

Next, we put time into years for simplicity,

t = 7 months / 12 months

t = 7/12 year

Plug the values into the above formula.

A = P( 1 + rt )

P = A / ( 1 + rt )

P = $7,200 / ( 1 + ( 0.0525 × 7/12 ) )

P = $7,200 / ( 1 + 0.030625 )

P = $7,200 /  1.030625

P = $6,986.05

Therefore, the principal or initial amount is $6,986.05.

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The amount she should deposit today to have enough money to pay off the loan would be = $1,060

The cost of the small car that Lorie Reilly needs to buy for college = $7,200.(P)

The number of months that she plans to repay the money = 7 months = 0.58 yr.(T)

The rate at which the money needs to be deposited = 5.25%. (R)

The simple interest = Principal× Time × Rate /100

Simple interest = 7200× 0.58 × 5.25/100

= 21924/100

= $219.24

The amount she is expected to pay after 7 months = 7200+219.24 = 7419.24

The amount she should deposit today to have enough money to pay off the loan = 7419.24/7 = $1,060( approximately)

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Answer:

m= -1.3

Step-by-step explanation:

subtract 3.4 from both side and than simplify

ANSWER

EXPLANATION

Given;

For the expression to be not defined, the denominator must be equal to zero.;

Hence,

Add 16 to both sides;

Find square root of both sides;

a) The value of k for the systematic sample is given as follows: k = 114.

b) The individuals are: 1, 2, 3, 4, 5.

In a systematic sample, every kth element of the sample out of a sample of n elements is taken.

In this problem, we have a total of 5705 employees, and want a systematic sample of 50 employees, hence the value of k is obtained as follows:

k = 5705/50 = 114.

(rounding the value down to the nearest integer, we just divide the number of people by the sample size to obtain the value of k).

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The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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Answer:

tan 41 = 0.87

sin 63 = 0.89

cos 14 = 0.97

Step-by-step explanation:

No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

A. Additive Inverse Property

Step-by-step explanation:

The additive inverse property states that when you change the sign of the number and add it to the original number, the answer will equal 0.

hope this helps :)

Answer:

The answer is additive inverse property.

Step-by-step explanation:

This is because you are adding the inverse number of 3x, which gives you zero.

The points mean that the temperature at 11 am and 7 pm is 6 degree Celsius

The given parameters are:

The points are given as:

(x, y) = (-1,6) and (7,6)

-1 represents 11 am and 7 represents 7 pm.

The points mean that:

The temperature at 11 am and 7 pm is 6 degree Celsius

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The approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

We can approximate the area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 using a Riemann sum with 4 rectangles of equal width. The left-hand endpoint of each subinterval will be used.

The width of each rectangle is the length of the interval (5-(-1)) divided by the number of rectangles (4). Therefore, the width of each rectangle is

(5-(-1))/4 = 6/4 = 1.5.

Since we are using the left-hand endpoint of each subinterval, the x-values of the left-hand endpoints of the rectangles are

-1, -1+1.5

-1+1.5+1.5

-1+1.5+1.5+1.5 = -1+4.5=3.5

The height of each rectangle is determined by the value of y at the corresponding x-value.

Therefore, the heights of the rectangles are

3(-1)^2+1=2

3(-1+1.5)^2+1=7.125

3(3.5)^2+1=35.125

3(3.5+1.5)^2+1=46.875

The area of each rectangle is the product of its width and height, so the areas of the rectangles are

2*1.5=3

7.125*1.5=10.6875

35.125*1.5=52.6875

46.875*1.5=70.3125.

Therefore, the approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

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Answer:

I believe it should be 5.882%

Step-by-step explanation:

This is how i got tought to do it

85-80=5

5/85=0.05882

0.05882 times 100=5.882%

and that's your answer hope you get it right.

Answer:

See below.

Step-by-step explanation:

3 2/5 as a mixed fraction is 17/5.

5 1/5 as a mixed fraction is 26/5.

2 4/5 as a mixed fraction is 14/5.

So, the expression is 17/5 + 26/5 - 14/5, or C.

-hope it helps

Answer:

\(\%Pr =71.43 \%\)

Step-by-step explanation:

Given

\(S = \{8, 7, 3, 8, 14, 15, 20\}\)

\(n(S) = 7\)

Required

Percentage of values between Q1 and Q3

We have:

\(S = \{8, 7, 3, 8, 14, 15, 20\}\)

Sort

\(Sorted = \{3, 7, 8, 8, 14, 15, 20\}\)

Q1 is calculated as:

\(Q_1 = \frac{n+1}{4}th\)

\(Q_1 = \frac{7+1}{4}th\)

\(Q_1 = \frac{8}{4}th\)

\(Q_1 = 2nd\)

The second element is: 7; So:

\(Q_1 = 7\)

Q3 is calculated as:

\(Q_3 = 3*\frac{n+1}{4}th\)

\(Q_3 = 3*\frac{7+1}{4}th\)

\(Q_3 = 3*\frac{8}{4}th\)

\(Q_3 = 3*2th\)

\(Q_3 = 6th\)

The sixth element is: 15; So:

\(Q_3 = 15\)

From the sorted dataset, the data between Q1 and Q3 is:

\(Q_3&Q_1 = \{7, 8, 8, 14, 15\}\)

\(n(Q_3&Q_1) = 5\)

The percentage is:

\(\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%\)

\(\%Pr =\frac{5}{7} * 100\%\)

\(\%Pr =\frac{5* 100}{7} \%\)

\(\%Pr =\frac{500}{7} \%\)

\(\%Pr =71.43 \%\)

Answer:

48

Step-by-step explanation:

54-24+18

54-24=30

30+18=48

Therefore, a small p-value in the Breusch-Pagan test suggests significant heteroskedasticity, requiring further action to improve the model's validity.

If the Breusch-Pagan test results in a small p-value for a regression model, it indicates that there is significant heteroskedasticity present in the model. In simpler terms, the variance of the errors is not constant across all levels of the independent variable(s). This finding can impact the validity of the standard errors and, consequently, the significance of the coefficient estimates.
In such a case, you should consider addressing the heteroskedasticity issue, which can be done by using methods like weighted least squares, robust standard errors, or data transformation. Addressing heteroskedasticity will improve the accuracy and validity of your regression model's results.

Therefore, a small p-value in the Breusch-Pagan test suggests significant heteroskedasticity, requiring further action to improve the model's validity.

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