A blueprint of a room uses the scale
5 in : 25 ft. A door has a width of 1.5 inches on the blueprint. How wide, in feet is the actual door?
I’ll put you as brainliest

Answers

Answer 1
7.5 feet
1 in : 5 ft
0.5in : 2.5ft
5+2.5 equals 7.5
Answer 2
Final answer:

Using the blueprint scale of 5 inches to 25 feet, the width of the door on the blueprint at 1.5 inches translates to an actual width of 7.5 feet.

Explanation:

To find the actual width of the door in feet using a given scale, we use proportional relationships.

The scale provided is 5 inches : 25 feet.

This means that every 5 inches on the blueprint correspond to 25 feet in actual size.

To find the actual door's width, we calculate it using the following proportion:

5 inches / 25 feet = 1.5 inches / x feet

Now, we solve for 'x' to find the actual width:

5/25 = 1.5/x

Now, cross-multiply and divide to find 'x':

5x = 25 * 1.5

x = (25 * 1.5) / 5

x = 37.5 / 5

x = 7.5 feet

So the actual door's width is 7.5 feet.


Related Questions

A bicycle store costs $3250 per month to operate. The store pays an
average of $35 per bike. The average selling price of each bicycle is $85
How many bicycles must the store sell each month to break even?

Answers

Answer:

65 bikes

Step-by-step explanation:

The store buys the bikes that they sell for $35, and they sell them for $85, so in order to find the actual amount of money earned from one sale, you have to subtract how much they sell the bikes for by how much they bought them for, so:

85 - 35 = 50

Then, you divide the $3250 by the 50:

3250 / 50 = 65

So now we know that the store must sell 65 bikes a month to break even.

write an expression where you multiply 0.035 times the power of ten so that the product is greater than 1 and less than 100 please help

Answers

Answer:

[tex]0.035\times 10^{3}[/tex]

Step-by-step explanation:

Given: The value of 0.035

Now, as we know 0.035 has three decimal place which mean if we multiply by 1000 then we have the product 35 which is greater than 1 and less than 100, however if we multiply 0.035 by 10000 then the output will be greater than 100, which is invalid.

Lets us use hit and trail method.

[tex]0.035\times 1000 = 35 < 100\\\\0.035\times 10000= 350 >100[/tex]

Now lets put the value in expression

[tex]0.035\times 10^{3}[/tex]

a bakery used 25% more butter this month than last month if the bakery use 240 kg of butter last month how much butter did he use this month ​

Answers

Answer: [tex]300\ Kg[/tex]

Step-by-step explanation:

Let be "x" the amount of butter (in kilograms) that the bakery used this month.

You need to divide the percentage by 100 in order to write it in decimal form. This is:

[tex]\frac{25}{100}=0.25[/tex]

According to the data given in the exercise, the total amount of butter they used last month is 240 kilograms.

Since 25% more butter was used this month than last month, you can write the folllowing equation:

[tex]x=240+(240 )(0.25)[/tex]

Evaluating, you get that the value of "x" is:

[tex]x=240+60\\\\x=300[/tex]

Therefore, the bakery used 300 kilograms of butter this month.

Final answer:

The bakery used 300 kg butter this month.

Explanation:

If a bakery used 25% more butter this month than last month and it used 240 kg of butter last month, then to calculate the amount of butter used this month, we need to add an additional 25% to the amount from last month. To find 25% of 240 kg, you multiply 240 kg by 0.25 (since 25% is the same as 0.25 when expressed as a decimal).

25% of 240 kg = 240 kg × 0.25 = 60 kg

Now, we add that 60 kg to the original 240 kg to find the total amount of butter used this month.

Total amount of butter used this month = 240 kg + 60 kg = 300 kg.

Therefore, the bakery used 300 kg of butter this month.

What is the value of 3/y if y = 1 2/3?

Answers

Answer:

9/5

Step-by-step explanation:

1 2/3=5/3

3/(5/3)=(3/1)(3/5)=9/5

Tommy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 51 regular sodas and 34 diet sodas. What percentage of the sodas served were regular?

Answers

Answer:

72

Step-by-step explanation:

11. In 2010, the population in the United States will be about 3.09x10'. Spending for health care will be
about $8754 per person. About bow much will the US spend on health care in 2010? Write in scientific
notation and round to the ncarest hundredths.​

Answers

Answer:

[tex]\$ 2.70\times 10^{12}[/tex]

Step-by-step explanation:

Complete question is here: In 2010, the population in the United States will be about 3.09x10^8. Spending for health care will be  about $8754 per person. About how much will the US spend on health care in 2010? Write in scientific  notation and round to the nearest hundred.

Given: Per person expenditure on healthcare is $8754.

          Total population in 2010 is 3.09x10^8.

Now, lets find out total money U.S will spend on health care.

[tex]\textrm{Total population} \times amount\ spent\ per\ person\ on\ healthcare}[/tex]

= [tex]8754\times 3.09\times 10^{8} = 27049.96\times 10^{8}[/tex]

= [tex]\$ 2.705\times 10^{12}[/tex] ≅ [tex]\$ 2.70\times 10^{12}[/tex]

In 2010, U.S will spend [tex]\$ 2.70\times 10^{12}[/tex] on health care.

Answer:

about $2.70 × 1012

Step-by-step explanation:

$8754(3.09 × 108)

= $27,049.86 × 108

≈ $2.70 × 1012

what is the value of n if n divided by 256 = 8 1/3 times 8 1/3?

Answers

Final answer:

The value of 'n' in the given mathematical equation n/256 = 8 1/3 * 8 1/3 is approximately 17766.4.

Explanation:

The question asks what is the value of n if n divided by 256 = 8 1/3 times 8 1/3. To find the answer, first we need to calculate the value of 8 1/3 times 8 1/3. Converting 8 1/3 to a decimal result in approximately 8.33. Then, we multiply 8.33 by itself to get approximately 69.4.

Since n divided by 256 gives this value, to find n, we simply multiply 69.4 by 256. This results in approximately 17766.4. Therefore, given the condition in the problem, the value of n would be approximately 17766.4.

To find the value of n, we need to solve the equation: n/256 = 8 1/3 * 8 1/3. First, let's convert 8 1/3 to a fraction: 8 1/3 = 25/3. Next, multiply 25/3 by itself to get (25/3) * (25/3) = 625/9. Now we can solve for n by multiplying both sides of the equation by 256: n = (256 * 625/9).

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From the equation, find the axis of symmetry of the parabola.
y = x^2+ 3x + 1

A. X= 3/2
B. Y= 1
C. X=3
D. X= -3/2

Answers

Answer:

D

Step-by-step explanation:

Quadratic has a general form of:

[tex]ax^2 + bx + c = 0[/tex]

The quadratic given here is:

[tex]y = x^2 + 3x + 1[/tex]

Matching it with the general form, we can see that:

a = 1 [coefficient of x^2]

b = 3

c = 1

Now, if we look at the formula for axis of symmetry, we can easily solve this out. The axis of symmetry is given by:

Axis of Symmetry is  [tex]x=-\frac{b}{2a}[/tex]

We know a = 1 and b = 3, so we have:

[tex]x=-\frac{b}{2a}\\x=-\frac{3}{2(1)}\\x=-\frac{3}{2}[/tex]

Hence,

D is the correct answer.

Answer:

is D

Step-by-step explanation:

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle? R = _____ m 0.063 m 0.99 m 16 m 50. m

Answers

Answer: 16 m

Step-by-step explanation:

We have the following data:

[tex]V=25 m/s[/tex] is the velocity of the object moving in uniform circular motion

[tex]t=1 s[/tex] is the time it takes to the object to go [tex]\frac{1}{4}[/tex] of a complete circle

We need to find the radius [tex]r[/tex] of the circle, and this can be found by the following equation:

[tex]V=\frac{2 \pi r}{T}[/tex] (1)

Where [tex]2 \pi r[/tex] is the circumference of the circle and [tex]T=4 t=4(1 s)[/tex] is the period for a complete circle.

Hence, isolating [tex]r[/tex] we have:

[tex]r=\frac{V T}{2 \pi}[/tex] (2)

[tex]r=\frac{(25 m/s)(4 s)}{2 \pi}[/tex] (3)

Finally:

[tex]r=15.9 m \approx 16 m[/tex] (4)

-13(v-6)=-5v+2(5v+12)

Answers

Answer:

v = 3

Step-by-step explanation:

[tex]-13(v-6)=-5v+2(5v+12)\qquad\text{use the distributive property}\\\\(-13)(v)+(-13)(-6)=-5v+(2)(5v)+(2)(12)\\\\-13v+78=-5v+10v+24\qquad\text{cobine like terms}\\\\-13v+78=(-5v+10v)+24\\\\-13v+78=5v+24\qquad\text{subtract 78 from both sides}\\\\-13v+78-78=5v+24-78\\\\-13v=5v-54\qquad\text{subtract}\ 5v\ \text{From both sides}\\\\-13v-5v=5v-5v-54\\\\-18v=-54\qquad\text{divide both sides by (-18)}\\\\\dfrac{-18v}{-18}=\dfrac{-54}{-18}\\\\v=3[/tex]

Mary and Lamar establish a tutoring service at a local mall. They tutor college students in math and English. They charge $40 per hour for tutoring. In the month of January they charged for 200 tutoring hours. The expenses of their business are given in the table below. Expense Amount/Month Rent of Space $4000 Electricity $325 Advertising $375 Using the formula Profit = $40(number of hours) – (expenses) , calculate their profit for the month of January.

Answers

Answer:

8000

Step-by-step explanation:

Answer: The profit is $3300

Step-by-step explanation:

The data we have is:

They charge $40 per hour.

In january, the charged for 200 hours.

The expenses are:

rent $4000

electricity $325

advertising $375

if we want to know the balance we must calculate:

The total expenses are: $4000 + $325 + $375 = $4700

The amount that they won is: $40*200 = $8000

Then the profit will be:

P = $40*200 - ($4000 + $325 + $375) = $8000 - $4700 = $3300

A store owner sells two pairs of running
shoes for each pair of high tops.
He plans to order 144 pairs of shoes
How many pairs should be high tops?

Answers

Answer:

He will order 72 pairs of high tops

Explanation:

Given the store owner sells two pairs of running shoes for each pair of high tops

For every pair of high tops, he sells 2 pairs of running shoes

1 high top = 2 running shoes

He has planned to order 144 pairs of shoes

Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops

Therefore, he will order 72 pairs of high tops

bernard ate part of a small pizza he started with 11/12 of a pizza but only ate 2/3 of it. Which is the best estimate of the amount bernard ate

Answers

Answer:1/4

Step-by-step explanation:

11/12 - 2/3

22/24 - 16/24 =6/24= 1/4

Write a number that completes analogy:
x² is 441 as x³ is to.............

Answers

Answer:

9261

Step-by-step explanation:

the problem is payed out like this formula

x² = 441

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

Answer:

9261

Step-by-step explanation:

x² = 441  

you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261

E
What are the dimensions of the product?
2
4 -3 |x| -2
гу со
| 6 1 о| |
o1 x 2
O2 x 2
О 3x 2
o3х3

Answers

Answer:

The dimension of the product is 2×2.

Step-by-step explanation:

The given problem is based on Matrices and it is a matrix multiplication  or Matrix product.

For any Two Matrix multiplication it is necessary, number of columns of matrix A  must be equal to  number of rows of matrix B.

Then only multiplication of matrix exist.

Then the product of multiplication i.e Matrix C will have the order number of rows of  Matrix A by number of columns of Matrix B

Let A be the first Matrix multiplied by matrix B

Matrix A is of order 2×3

Rows=2, column =3

Matrix B is of order 3×2

Rows=3, column =2

So here number of columns of matrix A  is equal to  number of rows of matrix B i.e 3

And the product order will be number of rows of Matrix A by number of columns of Matrix B .i.e 2×2

Answer:

b on edge or 2x2

Step-by-step explanation:

Carol wants to make a quilt using a scale of 1.5 inches=2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area of the actual quilt?

_[blank]_ square feet
I will mark the first one to answer my question brainleist

Answers

Answer:

140 ft

Step-by-step explanation:

How many grams of hydrogen must react if the reaction needs to produce 31.75 g of NH3

Answers

Answer:

5.603 g H2

Step-by-step explanation:

 M(NH3) = 14 + 1*3 = 17 g/mol

M(H2) = 2*1 = 2 g/mol

                        3H2 + N2 ----->   2NH3

from reaction   3 mol                  2 mol

from reaction    3*2 g                  2*17 g

given                    x g                   31.75 g

We can write a proportion.

(3*2)/x = 2*17/31.75

(2*17)x = (3*2)*31.75

x = (3*2)*31.75/(2*17) = 3*31.75/17 =5.603 g H2

Assume the adults have IQ scores that are normally distributed with a mean of 105 in a standard deviation of 20 find the probability that a randomly selected adult has an IQ less than 145

Answers

Answer:

The correct answer is that the probability of a randomly selected adult has an IQ less than 145 is 97.8%

Step-by-step explanation:

According to the graphic of a standard distribution attached, we have:

68.3% of the population will have an IQ +/- one time the standard deviation plus the mean. It means that 68.3% (Rounding to one decimal place) of the adults will have an IQ between 85 and 125.

95.5% of the population will have an IQ +/- two times the standard deviation plus the mean. It means that 95.5% (Rounding to one decimal place) of the adults will have an IQ between 65 and 145.

The remaining 4.5% of the adults will have either an IQ below 65 or above 145. In this case, we only want to know the percentage below 65 because the question is about the probability of an IQ less than 145. For calculating the percentage of adults that have an IQ less than 65, we use this fraction:

4.5%/2 = 2.3% (Rounding to one decimal)

and we add this percentage to 95.5:

Probability that a randomly selected adult has an IQ less than 145 = 95.5 + 2.3 = 97.8%

Hope the moderator will not delete the answer because I'm uploading a graphic; this graphic is exclusively for academic purposes.

Cam has a piece of plywood that is 6 7/8 feet wide. He is going to cut shelves from the plywood that are each 1 1/6 feet wide. Which is the best estimate for the number of shelves Cam can make?

A. 1
B. 2
C. 4
D. 7

Answers

Answer:

C.

Step-by-step explanation:

So how I would estimate is by see that each piece is going to be 1 and 1/6 but you have 6 and 7/8 feet of plywood so 1 can go into 6 six times but since you got that 1/6 for each piece is lower it down do about 4, so he can make about four. lol

Answer: Cam can make 4 shelves.

Step-by-step explanation:

PLZ HELP ME WILL GIVE BRAINLIEST



1. Explain how 2 x 10^-4 is the same as 2 ÷ 10^4 using expanded notation.

3. Explain the difference between (-10)^2 and -10^2. What are the values of each expression?

4. Explain the power of products property and give an example.

Answers

Answer:

1.  [tex]2 \times 10^{- 4} = 2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = 100[/tex] and [tex]- 10^{2} = - 100[/tex]

3. [tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex]

Example:  [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4}[/tex]

Step-by-step explanation:

1. We have [tex]2 \times 10^{- 4}[/tex], and we have to prove that this term is equivalent to [tex]2 \div 10^{4}[/tex].

Now, [tex]2 \times 10^{- 4}[/tex]

= [tex]2 \times \frac{1}{10^{4} }[/tex]  

{Since we know the property of exponent as [tex]a^{- b} = \frac{1}{a^{b} }[/tex] }

= [tex]\frac{2}{10^{4} }[/tex]

= [tex]2 \div 10^{4}[/tex]

2. [tex](- 10)^{2} = (- 10) \times (- 10) = 100[/tex] and  

[tex]- 10^{2} = - [(10) \times (10)] = - 100[/tex]

3. The power of products property gives

[tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex] ........ (1)

For example, we can write, [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times  3^{4} \times 5^{4} = 810000[/tex]

In 2018, there were 238 Republicans, and 201 Democrats in the House of Representatives. Find the percentage of Republicans in the House of Representatives in 2018.​

Answers

Answer:

54.2%

Step-by-step explanation:

The total number is 238 + 201 = 439.  The percent that is Republican is:

238 / 439 × 100% = 54.2%

Final answer:

The percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%, computed using the formula for percentage calculation - (number of Republicans/total number of representatives)*100.

Explanation:

The subject of this question is Mathematics, specifically Percentage Calculation. To answer the question, we need to find the percentage of Republicans in the House of Representatives in 2018. Given that there were 238 Republicans and 201 Democrats, the total number of representatives is 238 + 201 = 439.

To find the percentage of Republicans, we divide the number of Republicans by the total number of representatives and multiply by 100. So, the calculation would be: (238/439) * 100, which gives approximately 54.21%. Therefore, the percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%.

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7 bees 5 cockroaches 8 spiders 4 deer 4 boars how many legs are there in total

Answers

First: bees have 6 legs
Second: cockroaches have 8 legs
Third: spiders have 8 legs
Fourth: deer have 4
Fifth: boars have 4

So you multiply the legs with the amount of bugs/animals you have.

Bees: 7*6 (legs)=42
Cockroach: 5*8=40
Spiders: 8*8=64
Deer:4*4=16
Boar:4*4=16

Total: 178 legs all together.

There are total 168 legs.

Given, 7 bees 5 cockroaches 8 spiders 4 deer 4 boars.

We have to calculate the total number of legs.

Since, 1 bees has 6 legs, so 7 bees has in total [tex](7\times 6=42)[/tex] legs.

1 cockroach has also 6 legs, so 5 cockroach has in total of [tex](6\times 5=30)[/tex] legs.

1 spider has 8 legs so 8 spider has in total of [tex](8\times 8=64)[/tex] legs.

1 deer has 4 legs so 4 deer has in total of 16 legs.

1 boar has 4 legs so 4 boars has in total of 16 legs.

Hence the total number of legs the above animal has will be,

[tex]42+30+64+16+16=168[/tex] legs.

Therefore, There are total 168 legs.

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Mr Hays Bought a 5 gal. bucket of paint costing $175

Answers

Answer:

Nice! Uhh... What am I supposed to do with this info?

a chain saw rental for $12 a day. A sharpening fee of $5 is charged for each rental. write an equation for the number of dollars (y) that must be paid to rent a chain for x days. How many days can one rent a chain saw for a cost of $125?

Answers

Answer:

y= 12x+5 and It would be 10 days.

Step-by-step explanation:

Y= total

+5 = each rental

X= # of days

125= 12x+5; x=10

The equation to determine the cost of renting a chainsaw for x days is y = 12x + 5. For a cost of $125, one can rent the chainsaw for 10 days.

To write an equation for the number of dollars (y) that must be paid to rent a chainsaw for x days, take into account the daily rental fee and the one-time sharpening fee. The daily rental fee is $12, and there is an additional one-time sharpening fee of $5 for each rental. The total cost y is therefore the sum of the daily rental fees for x days and the sharpening fee.

The equation is:

y = 12x + 5

To find out how many days one can rent a chainsaw for a cost of $125, we can set y equal to $125 and solve for x:

125 = 12x + 5

Subtract 5 from both sides to get:

120 = 12x

Divide both sides by 12 to solve for x:

x = 10

Therefore, one can rent a chainsaw for 10 days at a cost of $125.

The equation used to predict the total body weight​ (in pounds) of a female athlete at a certain school is ModifyingAbove y with caret equals negative 121 plus 3.38 x 1 plus 1.48 x 2​, where x1 is the female​ athlete's height​ (in inches) and x2 is the female​ athlete's percent body​ fat, measured as x2​%. Use the multiple regression equation to predict the total body weight for a female athlete who is 68 inches tall and has 21​% body fat.
To predict the total body weight for a female athlete who is 68 inches tall and has 21​% body​ fat, substitute the given value for each independent variable into the multiple regression equation.
Substitute the values for x1 and x2 into the multiple regression equation.

Answers

Answer:

do u still need help??

Step-by-step explanation:

the numerator of a fraction is 9 and the denominator is6. all of the following numbers are equivalent except

Answers

Question is incomplete, complete question is given below.

The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except _____.

A) 2/3

B)3/2

C)1 1/2

D)18/12

Answer:

A) 2/3

Step-by-step explanation:

Given:

The fraction is [tex]\frac{9}{6}[/tex]

By solving the above fraction to its simplest form we get

[tex]\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}[/tex]

Now For Option A which is [tex]\frac{2}{3}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is Not equivalent to given fraction.

Now For Option B which is [tex]\frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Now For Option C which is [tex]1\frac{1}{2}[/tex]

Solving above equation to simplest form we get,

[tex]1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Now For Option D which is [tex]\frac{18}{12}[/tex]

Solving above equation to simplest form we get,

[tex]\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Hence all answer B C and D are all equal to [tex]\frac{3}{2}[/tex] except A which is [tex]\frac{2}{3}[/tex]

A pole that is 3.5 m tall casts a shadow that is 1.66 m long. At the same time, a nearby building casts a shadow that is 4.5 m long. How tall is the building?

Answers

Answer:

About 9.5 meters tall. Make sure to include the meters and the wiggly equal sign indicating about

Step-by-step explanation:

This is just a ratio

1.66:3.5 = 4.5:x

Cross multiply

1.66x = 15.75

Divide by 1.66 on both sides

x = about 9.5

What is the solution to the linear equation?

d – 10 – 2d + 7 = 8 + d – 10 – 3d

d = –5
d = –1
d = 1
d = 5

Answers

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

d – 10 – 2d + 7 = 8 + d – 10 – 3d

Simplifying:

-d - 3 = -2d - 2

Collecting like terms:

-d + 2d = -2 + 3

d = 1

The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.

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On a train car there are 30 rows of seats and each row has 5 seats .find the total number of seats on 6 train cars .draw a model and write an equation to support the answer

Answers

Answer:

900

Step-by-step explanation:

30 x 5 = 150 and 150 x 6 = 900. You would make a model with 5 rows of 30, then make 6 of them

Please help asap!! ​

Answers

Answer:

(4,-1)

Step-by-step explanation:

the graph goes up or down by 2 each time so 2x2=4

then half of -2 is -1

the x axis and y axis are going up in 2’s

the point is on the second line of x axis so x is 4

the point is in the middle of 0 and the first line of the y axis so the point is -1

so the solution is (4,-1)
Other Questions
Use the following information to determine the ending cash balance to be reported on the month ended June 30 cash budget. Beginning cash balance on June 1, $94,400. Cash receipts from sales, $415,000. Budgeted cash payments for purchases, $270,000. Budgeted cash payments for salaries, $95,400. Other budgeted cash expenses, $57,400. Cash repayment of bank loan, $32,400.Budgeted depreciation expense, $34,400. 5. Which Olympians were the children of the Titans? 9. A judge hears the following arguments in a murder hearing. The DNA test that places the accused at the murder scene has a true positive rate of 90% (i.e. the probability that the test returning positive given that the accused was actually present at the scene is 0.9). Similarly, the DNA test has a false negative rate of 80% (i.e. the probability that the test returns negative given that the accused was not present at the scene is 0.8). Everyone in the town has a equal probability of being at the murder scene, and the town has a population of 10,000. Given the fact that the DNA test returned a positive result for the accused, what is the probability that the accused was at the murder scene? What is the equations of the line that has a slope of 2 and passes through the point (6,2) when he reaches the top of Mount Everest, why is Krakauer in a hurry to startback down? A 100 W light bulb is placed in a cylinder equipped with a moveable piston. The light bulb is turned on for 2.0102 hour, and the assembly expands from an initial volume of 0.85 L to a final volume of 5.88 L against an external pressure of 1.0 atm.a)Use the wattage of the light bulb and the time it is on to calculate U in joules (assume that the cylinder and light bulb assembly is the system and assume two significant figures). Express your answer using two significant figures.b) Calculate w. Express your answer using two significant figures.c) Calculate q. Express your answer using two significant figures. A student standing in a canyon yells "echo", and her voice produces a sound wave of frequency of f = 0.61 kHz. The echo takes t = 3.9 s to return to the student. Assume the speed of sound through the atmosphere at this location is v = 322 m/s. Jill is the schools baseball coach. Jill sees Michael, one of her baseball players, having fun at the mall with his friends after missing practice due to illness. Because Michaels behavior did not conform to his sick role, Jill concludes that he was faking and makes him run laps at the next practice. Jill just utilized the ______ approach. in the morning the temperature starts out around 50 F. As the day goes on, the temperature rises first slowly, then more quickly. It says constant for an hour before dropping slowly. Select the graph that best represnts this descripition. Which layer of the atmosphere reflects radio waves back to Earth? Mesosphere Stratosphere Thermosphere Troposphere BRAINLEST Seventeen-year-old Nicholas failed several classes, lost his job, and spends most of his time sleeping on the couch. When his parents voice their disapproval, he replies, "Whatever." Nicholas' response indicates _____.A) role confusionB) identity achievementC) identity foreclosureD) a moratorium enhance the ability of firms to capture profits from a concentration of market power. enhance the ability of firms to reduce economic losses. restrict the ability of firms to operate at the socially efficient level of production. restrict the ability of firms to merge. Tesha withdrew $22.75 each week for four four weeks from her saving account to pay for her piano lessons. By how much did these lessons change her saving account balance? Seth is creating an online profile for a dating website. He describes himself as a person who is very outgoing, who loves social interactions, likes to keep busy, and prefers stimulating and challenging environments. In the Big Five personality trait theory, Seth would probably score high on the ____ dimension. In 1973, the major oil-producing nations of the world declared an oil embargo. The price of oil, a key source of energy, increased. In many countries, this led to a fall in real GDP and employment. Which of the three business cycle theories explained in the chapter real business cycle theory, Keynesian theory, and monetary theory would best fit this explanation of the 1973 recession? What is this: "The pundits like to slice-and-dice our country into Red States and Blue States"?A. Figure of speech about divisions among peopleB. Metaphor about how others see the United States as two separate countries A random sample of n1 = 49 measurements from a population with population standard deviation 1 = 3 had a sample mean of x1 = 12. An independent random sample of n2 = 64 measurements from a second population with population standard deviation 2 = 4 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01.What distribution does the sample test statistic follow? Explain. An area in which people have many shared culture traits is called Last year Jain Technologies had $250 million of sales and $100 million of fixed assets, so its FA/Sales ratio was 40%. However, its fixed assets were used at only 75% of capacity. Now the company is developing its financial forecast for the coming year. As part of that process, the company wants to set its target Fixed Assets/Sales ratio at the level it would have had had it been operating at full capacity. What target FA/Sales ratio should the company set? a. 28.5% b. 30.0% c. 31.5% d. 33.1% e. 34.7% HELP PLEASE ILL MAKE YOU BRAINLY PLEASE