What is the surface area of this right prism? Responses 48 in² 48 in² 84 in² 84 in² 96 in² 96 in² 120 in² 120 in² Right triangular prism. The height of the prism is labeled 4 in. The base of the prism is an isosceles triangle with legs labeled 5 in., 5 in., and 8 in. The height of the triangle is perpendicular to the leg labeled 8 in. and is labeled 3 in. I'll give
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Answers

Answer 1

The surface area of this right prism is 48 square inches

We are given that;

Height=4in

Base of triangle=5inch

Now,

The formula for calculating the surface area of a right triangular prism is given by:

Surface Area = bh + (S1 + S2 + h)L

The height of the triangle perpendicular to the leg labeled 8 in is labeled 3 in1.

Substituting these values into our formula we get:

Surface Area = (5 x 3) + [(5 + 8 + 5) x 4] = 48 square inches

Therefore, the surface area of the prism will be 48 square inches.

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Related Questions

If f(-5)=7 identify a point on the graph of f

Answers

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

How much is 5/9 of -3/5

Answers

Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

Ben drove 4,212 miles. Larry drove 3,400 miles. Ben drove at a speed of about 55 miles per hour. How many more miles does Ben drive than Larry? help me am 9

Answers

Answer:

812 miles

Step-by-step explanation:

the answer is 812 miles

Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance

Answers

The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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If A(0, 4), B(5, y), and AB = 13. What is y?

Answers

The required value of y for the given segment AB is given as y = 16, -8.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

here,
A(0, 4), B(5, y), and AB = 13.

Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]

Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12

y = 16, -8

Thus, the required value of y for the given segment AB is given as y = 16, -8.

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A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270 degrees

Use 3.14 for pi and round the decimal to the nearest tenth.

42.8 ft
37.7 ft
12 ft
9.4 ft

Answers

The area of the sector is 37.7 ft.

What is sector:

A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.

The formula for the area of a sector is given by

                   A = (θ/360)πr²

Where θ is the central angle in degrees, and r is the radius of the circle

Here we have

A circle has a radius of 4 ft.  

The central angle of sector formed = 270°

Using the formula, Area of sector = (θ/360°) × π r²

Area of the given sector = [ 270/360] × 3.14 × (4)²

= [0.75 ] × [50.24]

= 37.68 ft

= 37.7 ft

Therefore,

The area of the sector is 37.7 ft.

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find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.

Answers

The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 10⁹

The value of the expression by the repeated multiplication will be given as,

⇒ 10⁹

⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

⇒ 1,000,000,000

The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.

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From the value of -2x+10

Answers

Answer:

The answer is −2(x−5).

Step-by-step explanation:

Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)

Please help!!!! Its urgentWhich of the following rational functions is graphed below?-1010--101A. F(x)

Answers

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this

LM is the midsegment of trapezoid RSXY. What is the length of RS?Can somebody help me with this

Answers

Hmm I’m not so sure but can you help me with this? If 150 Joules of work is needed to move a box 1000 cm, calculate the force that was used?

The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

Answers

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

\(\mu = 6 - 4 = 2\)

Standard deviation s is 2.5, for L is 1.5. So

\(\sigma = \sqrt{2.5^2+1.5^2} = 2.915\)

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.5 - 2}{2.915}\)

\(Z = 0.17\)

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

What is the vertex form of a quadratic?
A) y= a(x - h)^2+k
B) y= (x -a)(x - b)
C) y = ax^2 + bx + c
D) y = mx + b

Answers

The answer should be A) y=a(x-h)2+k

The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?

Answers

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:

Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00

The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total increase recorded in the Work in Process account related to direct labor would be:

Garrison 17e Rechecks 2020-09-29

Multiple Choice
$241,800.
$256,000.
$248,000.
$249,600.
Group Ends

Answers

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor.

How to calculate labor cost ?

To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.

According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.

This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.

Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.

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The shape with corners A(-6,-4), B(-3,-1), C(0,-2), and D(-6,-8) is a trapezoid. What pair of sides are parallel?​

Answers

Answer:

                                                 

Step-by-step explanation:

find the volume of the figure

find the volume of the figure

Answers

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

600% of what number is 4,200

Answers

Answer: Trust me pleas, 14.29%.

Step-by-step explanation: On my dead moms grave.

Answer:

700

Step-by-step explanation:

600% of 700 is equivalent to multiplying them:

600% × 700 = ?

600% × 700 =

(600 ÷ 100) × 700 =

(600 × 700) ÷ 100 =

420,000 ÷ 100 =

4,200

If 2 pints = 1 quart and 1 quart = 1 pint then how many pints are 2 quarts?

Answers

Step-by-step explanation:

1 qt = 2 pts     multiply both sides by two

2 qt = 4 pints

solve the compound inequality

solve the compound inequality

Answers

Answer: Choice A) \(\boldsymbol{x \le -3} \textbf{ or } \boldsymbol{x \ge 9}\)

===================================================

Explanation:

Let's solve the first inequality mentioned.

To do so, divide both sides by 6.

\(6x \le -18\\\\6x/6 \le -18/6\\\\x \le -3\)

The inequality sign stays the same the entire time. It only flips if we divided both sides by a negative number.

Through similar steps, this is how we'd solve the second inequality given:

\(9x \ge 81\\\\9x/9 \ge 81/9\\\\x \ge 9\)

So overall \(\boldsymbol{x \le -3} \ \textbf{ or } \ \boldsymbol{x \ge 9}\)

The key word "or" is important. If it was "and", then we'd have no solutions because no such number is both smaller than -3 and also larger than 9 at the same time.

The graph of this on the number line will involve closed circles at -3 and 9. Then we shade anything that is not between those closed circles.

Answer:

x ≤ -3 or x ≥ 9

Step-by-step explanation:

Hello!

We can solve for x in both inequalities that are given.

6x ≤ -186x ≤ -18x ≤ -18/6x ≤ -3

9x ≥ 819x ≥ 81x ≥ 81/9x ≥ 9

The answer is the first option: x ≤ -3 or x ≥ 9.

Tip:
If you have an inequality with a negative coefficient, such as -3x ≤ 6, when dividing a number by a negative number, you have to flip the inequality.

-3x ≤ 6x ≥ 6/-3x ≥ -2

are 4 and 16/5 proportional?

Answers

Answer:

No

Step-by-step explanation:

Because when you divide 16/5 it's 3 1/5

3 1/5< 4

The lowest common denominator (LCD) for a set of fractions is the smallest number that the
denominators of those fractions will divide into evenly.
A. Yes
B. No
C. Maybe
D. Sometimes
E. Not Applicable

Answers

Step-by-step explanation:

"evenly" ? no.

"evenly" would mean to equal parts. that is not the case for different denominators. only for equal ones, and then there is no transformation necessary.

let's say, we want to add

1/14 and 1/32

the LCD (or LCM - the lowest common multiple) is found by looking at the prime factors and by creating the combination of the longest chains of each prime factor.

14 / 2 = 7

7 / 2 no

7 / 3 no

7 / 5 no

7 / 7 = 1

finished.

so, the prime factors of 14 are 2, 7.

32/2 = 16

16/2 = 8

8/2 = 4

4/2 = 2

2/2 = 1

finished.

the prime factors of 32 are 2, 2, 2, 2, 2.

the LCD or LCM is the combination of the longest chains

2×2×2×2×2 × 7 = 32×7 = 224

224 / 14 = 16

224 / 32 = 7

the LCD or LCM is the smallest number that each denominator will divide into without any reminder.

that should be the correct definition.

if you understand "evenly" with the same meaning, then by all means say yes.

as explained, I understand it differently, and therefore I say no.

Solve for b
Y=1/3x+b

Answers

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

in your own words state the angle addition postulate.

Answers

The angle addition postulates state that if any point lies in interior of angle then vertices joining point and vertex gives two angle whose sum is equal to the oiginal angle.

Consider the angle AOB with point C lie in interiod of angle.

By angle addition postulate,

\(\angle AOB=\angle AOC+\angle BOC\)

in your own words state the angle addition postulate.

Find the surface area of a cylinder with a height of 9 ft and diameter of 4

Find the surface area of a cylinder with a height of 9 ft and diameter of 4

Answers

Answer:50.2654812288

Step-by-step explanation:

The two circles :

Sa  = πr²

     = π x 2²

     = 12.5663706144

     = 12.5663706144 x 2

     = 25.1327412288

The rectangle :

C x h = 2πr

= 25.13274

= 25.13274 + 25.1327412288

= 50.2654812288

Step-by-step explanation:

50.2654858683848

because it is equivalent to this. Also I can tutor you

if ⅚ of a certain number is -6⅔. what is the number?​

Answers

The answer would be -3 4/3

Step-by-step explanation:

ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.

Answer:

Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have

Find the mean of the data in the bar chart below. money in each persons piggy bank

Find the mean of the data in the bar chart below. money in each persons piggy bank

Answers

Answer:

The chart is showing how much many is in each persons piggy bank.

Step-by-step explanation:

Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.

Answer: 10.5

Step-by-step explanation:

C a l c u l a t o r

also I tried it myself so thats even more proof :D

a container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles. How man full Bottles of fruit punch can the factory produce?

Answers

ANSWER!
71

EXPLANATION!

All you need to do is take the 2300 ounces of punch and divide it among 32 ounce bottles.

2300/32= 71.875

It asks for full bottles so you round down to the nearest whole number getting you 71!!

A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?

Answers

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?

Answers

Answer:

$20

Step-by-step explanation:

2=10

4=20

An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by

f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere

(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)

a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y

Answers

Answer:

\(k = 1\)

\(P(x > 3y) = \frac{2}{3}\)

Step-by-step explanation:

Given

\(f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.\)

Solving (a):

Find k

To solve for k, we use the definition of joint probability function:

\(\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1\)

Where

\({ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }\)

Substitute values for the interval of x and y respectively

So, we have:

\(\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1\)

Isolate k

\(k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1\)

Integrate y, leave x:

\(k \int\limits^2_{0} y {dx} \, [0,x/2]= 1\)

Substitute 0 and x/2 for y

\(k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1\)

\(k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1\)

Integrate x

\(k * \frac{x^2}{2*2} [0,2]= 1\)

\(k * \frac{x^2}{4} [0,2]= 1\)

Substitute 0 and 2 for x

\(k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1\)

\(k *[ \frac{4}{4} - \frac{0}{4} ]= 1\)

\(k *[ 1-0 ]= 1\)

\(k *[ 1]= 1\)

\(k = 1\)

Solving (b): \(P(x > 3y)\)

We have:

\(f(x,y) = k\)

Where \(k = 1\)

\(f(x,y) = 1\)

To find \(P(x > 3y)\), we use:

\(\int\limits^a_b \int\limits^a_b {f(x,y)}\)

So, we have:

\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy\)

\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy\)

\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy\)

Integrate x leave y

\(P(x > 3y) = \int\limits^2_0 x [0,y/3]dy\)

Substitute 0 and y/3 for x

\(P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy\)

\(P(x > 3y) = \int\limits^2_0 y/3\ dy\)

Integrate

\(P(x > 3y) = \frac{y^2}{2*3} [0,2]\)

\(P(x > 3y) = \frac{y^2}{6} [0,2]\\\)

Substitute 0 and 2 for y

\(P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}\)

\(P(x > 3y) = \frac{4}{6} -\frac{0}{6}\)

\(P(x > 3y) = \frac{4}{6}\)

\(P(x > 3y) = \frac{2}{3}\)

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a newborn is found to have transient hypothyroidism following a cesarean birth. which nursing intervention could have induced the transient hypothyroidism as the staff prepared the mother for the surgical procedure? after bone fracture, fibrocartilaginous callus formation normally occurs at the same time as which process? 1. What is the concept of free enterprise ? 2. Describe the nature and purpose of administration agencies. 3. What is the difference between crimes and torts. Tell me about the National School Lunch Program how does a sustainable strategy typically help a firm? group of answer choices it helps the firm achieve positive results along the social and ecological dimensions. it facilitates the firm in effectively isolating its external stakeholders. it reduces the need for corporate social responsibility within the firm. it helps the firm focus solely on its financial goals. Which artwork was made during the Renaissance? The inventory turnover ratio used in measuring supply-chain efficiency is found by the ratio of which of the following? A. Cost of goods sold/Average aggregate inventory value B. Fixed costs/Variable costs C. Sales costs/Marketing costs D. Cost of goods sold/Cost to sell goods E. Operations flow costs/Suppliers flow costs In a roll of 50 pennies, there are 12 dated 1977. If a penny is drawn at random, what is the probability that it is dated 1977? discussion on the different types of droughts What are lim x g(x) and lim xg(x)? Briefly explain your answer. Help find mean median and mode for 3 and 5 It has been determined that the temperature in an autoclave should reach __________ for sterilization. Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design. a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city. b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes. c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference. Find the value of x.ED51G(14x 38)F What value of x will make the number 40 35 :: 16 x? Which nations had a nuclear arms race during the 20th century? 2. Para qu sirven las oraciones incidentales? Ponga dos ejemplos de oraciones con incidentales. Se altera el sentido de la oracin si las eliminara en sus ejemplos? You are Arpit. You have lost your library card. Write a letter to the librarian of your school to issue a duplicate library card. The local police have provided you with some missing persons reports. Look at the information for each missing person and compare it to your findings. Could the bones belong to any of these missing persons? If so, which ones, and why? Keep in mind that 1 inch = 2.54 cm. (2-3 sentences) an older adult has lost 10% of body weight because of diet changes and exercise. the nurse would provide anticipatory guidance regarding dosage changes in which of the client's daily medications based on this weight loss?