Whats the surface area of the triangular prism?

Whats The Surface Area Of The Triangular Prism?

Answers

Answer 1

Answer:

426 cm^2

Step-by-step explanation:


Related Questions

He brightness of some stars can fluctuate over time. Suppose that the brightness of a certain star can be modeled by the following: B(t) = 7. 8 + 10. 8sin((2pi/63)t) In this equation, B(t) represents the magnitude of brightness, and t is the time (in days). Suppose we start at t = 0 days. During the first 63 days, when will the star's magnitude of brightness be 13? Do not round any intermediate computations, and round your answer(s) to the nearest day. Please especially explain the portion when calculating arcsin - thanks!

Answers

The  days needed are 5 days

What is the rate of decay?

The reduction in radioactive nuclei per unit of time is the rate of decay, or activity, of a sample of a radioactive substance.

How is the decay rate calculated?

The rate of change is determined by the equation dN/dt = N, where is the decay constant, assuming N is the size of a population of radioactive atoms at a given time t and dN is the amount by which the population decreases in time dt.

What is the decay factor?

Exponential decay is the opposite of exponential growth; it has a constant multiplier that is less than 1 when a quantity decreases by the same amount over equal intervals of time. This quantity also referred to as the decay factor, can be written as (1-r).

From the above question

B= 7.8+10.8sin((2pi/63)t)

B=13=7.8+10.8 sin((2pi/63)t)

sin((2pi/63)t)=13/27

(2pi/63)t=sin(13/27)=0.502344 radians

t=5 days

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is ​the square root of open paren x negative 3 close paren squared equals 3 negative x​ ? (1) ​x is not equal to 3​ (2) ​negative x times the absolute value of x is greater than 0

Answers

The square root of open paren x negative 3 close paren squared =

3 negative x​  negative x times the absolute value of x is greater than 0.

Let the equation be: |x−3|=3−x|x−3|=3−x

When x>3x>3, then RHS is negative, but LHS (absolute value) is never negative, hence in this case equations doesn't hold true.

When x≤3x≤3, then LHS=|x−3|=−x+3=3−x=RHSLHS=|x−3|=−x+3=3−x=RHS

x≠3x≠3

Thus,

−x|x|>0−x|x|>0, this inequality implies that x<0x<0, hence x<3x<3.

Hence option b becomes the correct option i.e, negative x times the absolute value of x is greater than 0.

Square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts.

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please solve this quadratic inequality:
x^2+10x+16>-5

Answers

Answer: x<-7 or x>-3

Step-by-step explanation: Tell me if its wrong ill fix it

answer:

x>-7, x>-3

step-by-step explanation:

- the first step would to be to add five to both sides: x^2+10x+21>0

- then you can solve be grouping which results in: (x+7)(x+3)>0

- the final answer will be: x>-7, x>-3

hope that helps!

Christina's Pizza sells pizza by the slice for lunch. Today, they sold 76 slices, including 20 slices of pepperoni pizza. What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
P(pepperoni)=

Answers

Answer:

Step-by-step explanation:

2/6

How do you write as a percentage?
39
100

Answers

The percentage of 39/100 can be written as 39% as given in the question.

What is meant by percentage?

A percentage is a figure or ratio stated as a fraction of 100. The abbreviations "pct.", "pct," and "pct" are also used. A% is a dimensionless (pure) number with no unit of measurement.

The word "percent" comes from the Latin per centum, which means "hundred" or "by the hundredth." The symbol for "percent" emerged gradually from the Italian expression per cento. The "cento" symbol was developed from two circles divided by a horizontal line.

As money denominations expanded in the Middle Ages, computations with a denominator of 100 were increasingly prevalent, to the point where it became normal for mathematics texts to incorporate such computations from the late 15th to the early 16th centuries

We write 39/100 in the percentage as 39%

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A computer chess game and a human chess champion are evenly matched. They play fourteen games. Find probabilities for the following events.
(Round all answers to four decimal places.)
(a) They each win seven games. P =
(b) The human chess champion wins eleven games. P =
(c) The computer wins at least eleven games. P =

Answers

The probability that they each win six games is 0.225.  

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Applying binomial distribution,

Here n=12 and p=0.5

(a) They each win seven games. P =

[tex]P(X=k)=\frac{n !}{k !(n-k) !} \times p^k \times(1-p)^{n-k}[/tex]

The probability that they each win six games is k=6.

(b) The human chess champion wins eleven games. P =

[tex]\begin{aligned}& P(X=6)=\frac{12 !}{6 !(12-6) !} \times 0.5^6 \times(1-0.5)^{12-6} \\& P(X=6)=\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 !}{6 \times 5 \times 4 \times 3 \times 2 \times 6 !} \times 0.015625 \times 0.015625 \\& P(X=6)=11 \times 2 \times 3 \times 2 \times 7 \times 0.015625 \times 0.015625 \\& P(X=6)=0.225\end{aligned}[/tex]

(c) The computer wins at least eleven games. P =

Therefore, The probability that they each win six games is 0.225.

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describe the center and spread of the data using either the mean and standard deviation or median and iqr. describe how you determined which one to use.

Answers

For symmetric distributions without outliers, the mean should be used to get the measure of center.

What are the Center and Spread of the data?

The spread in the data measures how far the numbers in the data set are away from the mean and the center in the data measures the standard deviation.

To determine the measure of center for symmetric distributions without outliers, one should use the mean. They should use the median to determine the measure of center in all other situations. The range is a suitable metric for determining the spread of a distribution.

However, the interquartile range should be used when using the median as the measure of center, and the standard deviation should be used when using the mean as the measure of center.

Hence, For symmetric distributions without outliers, the mean should be used to get the measure of center.

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Shane can hike 10 miles in 5 hours. If he hikes for 8 hours, then how many miles will he travel

Answers

Answer: 13.33

Step-by-step explanation: I could be wrong

find the temperature (in k) at which the root-mean-square speed of ch4 molecules is the same as the root-mean-square speed of o2 molecules at 448.8 k.

Answers

Temperature of ch4 will be 150K

given :-

[tex]\sqrt{2} speed of 02 = 448.8[/tex]

u.avg. = [tex]\sqrt{8rt/\pi m} \\[/tex]

u.avg ch4 = [tex]\sqrt{8rt1/\pi 16}[/tex]

hence , mass of ch4 = 12 +4 = 16

Methane (US: MEH-thayn, UK: MEE-thayn) is a chemical compound with the chemical formula CH4 (one carbon atom bonded to four hydrogen atoms). It is a group-14 hydride, the simplest alkane, and the main constituent of natural gas.

The molar mass of oxygen atom  O

O

 is 15.99

This is only the mass of 1 oxygen atom so the molar mass of oxygen molecule  O is 15.99

is double the number, i.e. approximately 32

u.avgO2 = [tex]\sqrt{8r(300)/\pi (32)}[/tex]

u.avgch4 = u.avgo2

[tex]\sqrt{8rt1/\pi 16}[/tex] = [tex]\sqrt{8r(300)/\pi (32)}[/tex]

==> t1/16 = 300/32

==> t1 = 150 K

They have same average velocity when the temperature of CH4 is 150 K

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11. There is a $10 monthly membership fee to download music. There is
a $0.50 fee for each song downloaded.
a. Write a linear equation that models the cost of downloading x songs
per month.
b. Graph the equation.
c. What is the cost of downloading 15 songs?

Answers

Answer:

A) y=0.5x+10 C) 17.5 dollars (don't forget your units)

Step-by-step explanation:

a) 0.5 is the price paid per song, or x, and 10 is the price that does not change for a month, so we can say that y=0.5x+10

c) to download 15 songs, we substitute x by 15

y=0.5(15)+10

y=7.5 + 10

y=17.5

and for b, im sorry but I cannot graph here.

A school is arranging a field trip to the zoo. The school spends 778.72 dollars on passes for 29 students and 2 teachers. The school also spends 259.26 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

Answer:

Step-by-step explanation:

first, you have to divide the total cost of the passes by the number of teachers and students combined. Then you must multiply the individual cost of the pass by the number of students. Finally, you have to take the total cost for student passes and add it to the cost of the lunches, then you answer.

let $w 1, w 2, \dots, w n$ be complex numbers. a line $l$ in the complex plane is called a mean line for the points $w 1, w 2, \dots, w n$ if $l$ contains points (complex numbers) $z 1, z 2, \dots, z n$ such that \[\sum {k

Answers

The slope of the line is going to be m = 163.

Here, we have been told that the sum of the numbers is going to be -

= [tex]w _{k}[/tex]= 3 + 504i (i)

The other set of complex numbers is (z₁, z₂, ....[tex]z_{k}[/tex]) and their sum is going to be = [tex]z_{k}[/tex]= 3 + 504i (ii)

If we write the number 3+504i in the standard form for complex numbers i.e., a+bi with respect to the summations, we get -

=  [tex]a_{k}[/tex]= 3 (III)

= [tex]b_{k}[/tex]= 504 (Iv)

The standard equation is of the form, y = mx+3. Substituting the polar coordinates, we get -

= [tex]b_{k}[/tex] = m[tex]a_{k}[/tex] + 3

Now, if we use all of the given values in equations (iii) and (iv) for k, we get -

= 504 = 3m + 15

Now, on simply solving for m, we get -

= 3m = 504 - 15 = 489

= m = 489/3

= m = 163

Henceforth, we find out that the slope of the line, m is 163.

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the volume of a gas in a container varies inversely with the pressure on the gas. if a gas has a volume of 500 cubic inches under a pressure of 14 pounds per square inch, what will be its volume if the pressure is increased to 19 pounds per square inch? (round off your answer to the nearest cubic inch.)

Answers

If the pressure is increased to 19 pounds per square inch, then the volume is 368.42 cubic inches

The volume of the gas = 500 cubic inches

The pressure = 14 pounds per square inch

The volume of a gas in a container varies inversely proportional with the pressure on the gas.

V ∝ 1/P

Where V is the volume and P is the pressure

Then,

V = k/P

Where k is the constant

500  = k/14

k = 500 × 14

k = 7000

The pressure of the gas = 19 pounds per square inch

Volume = 7000 /19

= 368.42 cubic inches

Therefore, the volume is 368.42 cubic inches

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hypotheses: h0: pass/fail rates are school. h1: pass/fail rates are school. which of the following best fits the blank spaces above?

Answers

The correct option is independent of, dependent on for the given sets of hypothesis H0: Pass/fail rates are _____ school. H1: Pass/fail rates are _____school.

What is hypothesis?

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependant and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.

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what is
c=2.80g c=8.30g

Answers

That’ll be your final answer

help me i actually cant figure this out :(

Answers

To complete the square of the quadratic function x² + 10x + 4 we need to add 21

Completing The Square

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. In simple words, we can say that completing the square is a process where consider a quadratic equation of the ax² + bx + c = 0 and change it to write it in the form a(x + p)² + q = 0. This method is generally used to find the roots of a quadratic equation.

Completing the square formula is a technique or method to convert a quadratic polynomial or equation into a perfect square with some additional constant. A quadratic expression in variable x: ax² + bx + c, where a, b and c are any real numbers but a ≠ 0, can be converted into a perfect square with some additional constant by using completing the square formula or technique

The equation given is

x² + 10x + 4 = 0

Take 4 to right side

x² + 10x = -4

rewrite in (x + a)² = b form

(x + 5)² = 21

x + 5 = ±√21

x = √21 - 5

x = -√21 - 5

To complete the square, we need to add 21

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find the value of m n (4x-33) (3x+30)

Answers

Answer: 4(x + y) = 4x + 4y 2(3x + 4) = 2(3x) + 2(4) = 6x + 8

Step-by-step explanation:

Use the number line to represent the solution to 2.4x−6>−13.2.

Answers

Answer:

The answer should be (8,0)

my regular recipe for cream of potato soup makes 50 8-ounce servings. i need to make potato soup for 200, but i want to increase the portion size to 12 ounces. what conversion factor should i use to adjust my recipe for the new amount?

Answers

The conversion factor you should use to adjust your recipe for the new amount is 6.

What is conversion factor?

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value.

Equating the conversion factor :

Given: original serving = 50                        8-ounce serving            

required new serving = 200                     12-ounce serving

To find: conversion factor?

Original serving = 50×8 ounce = 400 ounce

Required serving = 200×12 ounce                          

 = 2400 ounce

As we know, conversion factor = {Required Yield} ÷ {Original Yield}

∴ Conversion factor =2400 ÷ 400

∴  Conversion factor = 6

Conversion factor is greater than 1 when required yield is supposed to be greater than original yield and conversion factor is less than 1 when required yield is less than original yield.

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Please help me with this. It will be really appreciated <3!



Find the value of y


7 x 7 x 7 x 7 x 7 x 7 =7y


Thank you a lot if you do! This is no rush <3

Answers

Answer: y = 16807

Step-by-step explanation:

7 * 7 * 7 * 7 * 7 * 7 = 117649

7^16807 = 117649

A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.

Answers

The statistic's bias is a quality that the statistic does not display, according to the Central Limit Theorem for proportions.

Central limit theorem:

According to the central limit theorem in statistics, samples will be normally distributed and their means will be roughly equal to those of the entire population when the big sample size has a finite variance.

Given,

A certain statistic The population parameter d is being estimated using the function d. D's predicted value is not the same as D.

Find the property that does d display in this case.

According to the Central Limit Theorem, the following is true for a proportion p in an n-person sample:

Value anticipated, μ = p

Standard deviation: s = √p(1 - p) /n

Therefore,

The statistic is biased because the expected value in this case differs from the expected.

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What is the equation in slope-intercept form of the line that passes through the point (8, - 7) and is parallel to the line represented by y = 6x + 2

A. Y=1/6x+55
B. Y=1/6x-55
C. Y=6x+55
D. Y=6x-55

Answers

Answer:

:Equation of line is[tex]y=1.2x+3.8[/tex]To find:The equation of line that passes through the point (5, 0) and parallel to the given line.

Step-by-step explanation:

Who were the Greek oligarchs?

Answers

Answer:

"Broadly speaking, an oligarchy is a form of government characterized by the rule of a few persons or families. More specifically, the term was used by Greek philosopher Aristotle in contrast to aristocracy, which was another term to describe rule by a privileged few."

Step-by-step explanation: I hope this helps with something

Select the correct answer.
Which graph shows a quadratic equation with complex roots?

Answers

Answer:



Step-by-step explanation:

GraphA shows the quadratic equation with complex roots.

Answer:

Step-by-step explanation:

Which of the following is equal to √√√√5? (4 points)
O
O
O
O
53
1
56
2
53
3
N/W
52

Answers

Answer:

b

Step-by-step explanation:

If a = 3 and b = 5, find a/(a+b)=.

Answers

Answer: 5/3 or 1.67

Step-by-step explanation:

is the pareto distribution a member of a location family? a member of a scale family? a member of a location-scale family? none of the above? explain.

Answers

Pareto distribution is a member of a scale family referring fixed values of the shape parameter, it is trivially closed under scale transformations.

The Pareto distribution is a power-law probability distribution used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena. It was initially applied to demonstrate the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The pareto principle or 80-20 rule states that 80% of outcomes are due to 20% of causes. Pareto distribution is a member of the scale family distribution which is parameterized by a scale parameter. The larger the scale parameter, the more spread out the distribution.

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The edges of three squares are joined together to form a right triangle with legs of lengths r and s and a hypotenuse of length t . what must be true

Answers

For the triangle to be true, the square of the hypothenuse is equal to sum of the square of the leg and the sum of the angles is equal to 180 degrees

Pythagoras Theorem

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC2​². Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

In this case, for the triangle to be true,

1. The sum of square of two sides (s) and (r) must be equal to the square of t

t² = s² + r²

2. The sum of angles in the right angle triangle must be equal to 180 degrees

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-3x-4y=12 solve for Y

Answers

Here is the answer for your problem. You will first need to divide by negative four to isolate the Y as it’s own variable. Then, there is the problem of that 3/4x on your left side. By subtracting it from both sides, you are isolating your Y all by itself and solving for Y.

Write the equation of the line that passes through the points (2, 7) and (5,-2).

Answers

Answer:

y = -3x + 13

Step-by-step explanation:

Assuming the line is linear, you can use the point-slope equation of a line.

(y - y) = m (x - x)

The y and x variables come from the points on the line. Points are written in the form (x, y). In the point (2,7), 2 is x and 7 is y.

1. Plug your points in.

(7 - - 2) = m (2 - 5)

2. Solve for m (the slope)

(7 + 2) = m (2 - 5)

(9) = m (-3)

9 = -3m

m = -3

3. Write an equation of the line with the slope you found.

You can write this equation in different forms, but I'll use the slope-intercept form.

y = mx + b

You'll have to find b, the y-intercept. You can plug one of your points in for x and y as well as your slope, m, and solve for b.

7 = -3(2) + b

7 = -6 + b

b = 13

Therefore, the equation is y = -3x + 13

The answer is y=-3x+13
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