find the surface area of the triangular prism below...

Answer:

\(\frac{1}{c^{3} }\) or \(c^{-3}\)

Step-by-step explanation:

\(c^{-5} * c^{2}\) = \(\frac{1}{c^{5}}\) * \(c^{2}\) = \(\frac{c^{2} }{c^{5} }\) ; simplify to \(\frac{1}{c^{3} }\) = \(c^{-3}\)

Answer:

Step-by-step explanation:

jfift

Answer:

Thus, train speed = 70 mph while wind speed is. y = 14 mph

Step-by-step explanation:

Let x = speed of the plane in mph.

Let y = speed of wind in mph.

We are told that The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 6 hours.

Formula for distance is;

Distance = speed × time

Thus;

(x + y)4 = 336

(x + y) = 84 - - - - (1)

Also;

(x - y)6 = 336

Divide both sides by 6

(x - y) = 56 - - - (eq 2)

Add eq 1 and 2 to give;

2x = 84 + 56

2x = 140

x = 140/2

x = 70 mph

Plug in 70 mAh for x in eq 1.

(70 - y) = 56

y = 70 - 56

y = 14 mph

Thus, train speed = 70 mAh while wind speed is. y = 14 mph

Answer:

0.50

Step-by-step explanation:

The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15

= 53/15

= 3.533

Difference of values from the mean:

n     n - 3.533  (Absolute value)

3         0.533

3         0.533

6         2.467

3         0.533

2          1.533

2          1.533

1           2.533

0          3.533

0          3.533

4           0.467

4           0.467

5            1.467

5            1.467

6            2.567

7             3.467

Totals:  

53         26.533

So the M.A.D. = 26.533 / 53 =  0.50  

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

Explanation:

E = event space = {1}

The event space is the set of things we want to happen. There's only one outcome and it's the "1" (since it's smaller than 2)

S = sample space = {1,2,3,4,5,6}

There are 6 items in the sample space.

Divide the two counts to get the fraction 1/6 which is the probability of rolling a result less than 2. In other words, the probability of landing on "1" is 1/6 since there's one face with that label out of 6 faces total.

Side note: 1/6 = 0.1667 = 16.67% approximately

Answer:

48 degrees

Step-by-step explanation:

Answer: 6.8

Step-by-step explanation:

nnxj

The volume of a sphere is V = 4/3 x pi x r^3 .

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

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U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A = {1, 3, 5, 7, 9}

B = {2, 4, 5, 6, 7}.

A = {1, 3, 5, 7, 9}

B' = {1,3,8,9,10}

A U B' = {1,3,5,7,8,9,10}

Answer:

A U B' = {1,3,5,7,8,9,10}

For an a normally distributed the length of a pregnancy, with mean of 280 days and a standard deviation of 13 days,

a) the probability that he was NOT the father is equals to the 0.9762.

b) The probability that he could be the father is equals the 0.0238.

We have an expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed. Let variable X has normal distribution, Mean, μ = 280 days

standard deviations, σ = 13 days

An alleged father was out of the country from 240 to 306 days before the birth of the child. So, the variable value varies X < 240 or X> 306. Using Z-Score formula for normal distribution,

\(z= \frac{x -μ}{σ}\)

For x = 240

=> z =( 240 - 280)/13

= -40/13 = - 3.07

For x = 306

=> z = (306 - 280)/13

= 26/13 = 2

a) Probability that he not be the father , P ( 240< x < 306) or P(E)

= \( P ( \frac{240 - 280}{13 }< \frac{x - \mu}{\sigma} < \frac{306 - 280}{13})\)

= P (- 3.07 < z < 2 )

= P( x< 2) - P(z< - 3.07)

Using the normal distribution table value of probabilities for z < 2 and z< - 3.07 are determined, = 0.9762

= P(240<x <306)

b) Probability that he could be the father,

\(P( \bar E) \) = 1 - P(E)

= 1 - 0.9762

= 0.0238

Hence, required value is 0.0238.

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Answer:

Not possible.

Step-by-step explanation:

The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.

Answer:

No it isn't possible

Step-by-step explanation:

sum of three angles of any triangle is 180 degrees.

so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you

It is gvien that y varies inversely as x.

The relation between x and y in mathematical expressin is given as.

The value of y is 11 when x is 8 , we have to determine the value of y when x is 10.

Apply the mathematical expression and substitute the value of x and y ,

Now , substitute the value of k in the mathematical expression and value of x which is 10, to find the value of y.

Thus the value of y is 8.8 when x is 10.

Answer:

148/35 is the simplest form

Answer:148/35 is the simplest form

Step-by-step explanation:

Among the given statements about exponential functions, the true ones are A and E .A. The domain is all real numbers. E.The base represents the multiplicative rate of change.Option A&E is correct.

The domain is all real numbers: Exponential functions have a domain of all real numbers. They can be evaluated for any real value of the input variable. The base represents the multiplicative rate of change: The base of an exponential function represents the multiplicative rate of change between consecutive terms. For example, in the function f(x) = a * b^x, where b is the base, as x increases by 1, the function value is multiplied by b.

The other statements are false:B. The range always includes negative numbers: Exponential functions with positive bases do not include negative values in their range. They are always positive or zero.

C. The graph has a horizontal asymptote at x = 0: Exponential functions do not have a horizontal asymptote at x = 0. Instead, they have a horizontal asymptote at y = 0 (the x-axis) as x approaches negative or positive infinity.

D. The input to an exponential function is the exponent: The input to an exponential function is not the exponent. The input (x) represents the independent variable, and the exponent is the result of evaluating the function for that input. Option A&E is correct.

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Answer:

The answer to your problem is 540

Step-by-step explanation:

The answer is 180 because all triangles have 3 sides and a pentagon is 3 triangles formed as one so you need to do 180 x 3 which is 540

Answer:

x<-5

Step-by-step explanation:

The answer is not listed, but the correct answer is E, the limit exists and is equal to 3.

To evaluate the limit of 3cos(π/2x - π) as x approaches π/2, we can use the fact that the cosine function is continuous. This means that the limit of cos(π/2x - π) as x approaches π/2 is equal to cos(π/2(π/2) - π) = cos(0) = 1.

Then, we can multiply both sides of the equation by 3:

lim x->π/2 3cos(π/2x - π) = 3cos(π/2x - π) * lim x->π/2 1

Since the limit of 1 as x approaches π/2 is equal to 1, we can substitute:

lim x->π/2 3cos(π/2x - π) * lim x->π/2 1 = 3 * 1 = 3

Therefore, the limit exists and is equal to 3. The answer is not listed, but the correct answer is E, the limit exists and is equal to 3.

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The statement is False. The expression evaluates to 2.0, not 2.5.

The expression (double) (10 / 4) involves several steps of evaluation. Let's break it down to understand the process.

Integer Division: The division operation 10 / 4 is performed first. In integer division, the result is the quotient of the division without any decimal places. In this case, 10 / 4 equals 2, as the fractional part is truncated.

Type Casting: The expression (double) is a type cast that converts the result of the division to a double data type. However, the type casting occurs after the integer division has already taken place. So, the result of the type casting will not affect the value obtained in the integer division.

As a result, the expression (double) (10 / 4) evaluates to 2.0, not 2.5. The value 2.0 is a double representation of the integer 2. The type casting only affects the data type of the value, not its actual numerical value.

Therefore, the statement "The following expression will evaluate to 2.5: (double) (10 / 4)" is false. The expression evaluates to 2.0.

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True. The expression (double) (10 / 4) will evaluate to 2.5.

To evaluate the given expression, we need to follow the order of operations. First, we have the casting operation, which involves converting the result of the division to a double data type. Then, we have the division operation, which involves dividing 10 by 4.

Let's break down the steps:

Therefore, the expression (double) (10 / 4) will evaluate to 2.5.

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The mean number of children per household in the community is 2.4. The correct answer is a.

This is because Tabitha surveyed 20 families in the community, and the mean number of children per household for those families was 2.4. As long as the sample was random and representative of the community, the mean of the sample can be used as an estimate of the mean of the population. Option b is incorrect because sample size is not too small. Option c is not necessarily true since we do not know the sampling method used. Option d may or may not be true depending on the sampling method used.

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground and found a mean of 2.4 children per household. The statement that must be true is:
c. The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
This is because Tabitha's sampling method only includes families at a playground, which likely leads to a higher mean number of children, as families with more children are more likely to be found at a playground.

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The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."

We are given that the angle on f depression between a bird and its prey is 70%.

This means that Theta = 70°

Also, the height of the bird from the ground is 18 feet.

Using trigonometry, we get

⇒sin theta = perpendicular side/hypotenuse

⇒sin 70 = 18/hypotenuse

⇒Hypotenuse = 18/sin 70

⇒Hypotenuse = 19.1 ≈ 19 feet

Hence, the distance between the bird and its prey is 19 feet.

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Answer:

2

Step-by-step explanation:

5 is split into two and BC is the smaller distance

Answer:

b) is correct 120π square units

Step-by-step explanation:

The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.

We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is

144π * 300/360 = 120π square units

as option b) suggests.

Answer:

C. 120pi units^2

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

The length of segment BD on the triangle is given as follows:

BD = 12.5 units.

The theorem used to solve this problem is given as follows:

A line parallel to one side of a triangle divides the other two proportionately.

The parallel lines in this problem are given as follows:

BC and DE.

Then the proportional segments are given as follows:

AB and AC.

Thus the proportional relationship that relates these side lengths is given as follows:

(x - 2)/3 = (x + 3)/5.

Applying cross multiplication, the value of x is obtained as follows:

3x + 9 = 5x - 10

2x = 19

x = 19/2

x = 9.5.

Then the length of BD is obtained as follows:

BD = x + 3 = 9.5 + 3 = 12.5.

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Answer:

x=56

Step-by-step explanation:

number = x

7/8x=8/7x-15

Add 15

15+7/8x=8/7x

Subtract 7/8

15=15/56x

x=56

The number is 56

Hope this helps!

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

22

Step-by-step explanation:

Hey There!

Your answer is 22

I got this answer by dividing 11 by 50%

hope this helps :)

Answer:

Your answer is 22

Step-by-step explanation:

The blocks will be filled as follows -

y = 5(x) + b

33 = b

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the slope of the line passing through the point (4, 53).

Now, from the question, we can write -

y = 5x + b

For the point -

(4, 53)

We can write -

53 = 5 x 4 + b

b = 53 - 20

b = 33

Therefore, the blocks will be filled as follows -

y = 5(x) + b

33 = b

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Answer:

∠A = 48°

Step-by-step explanation:

All angles in a triangle add up to 180°

The z-score for exactly one gallon of milk is -0.583

A z-score, also known as a standard score, provides information on how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve.

The z-score formula is given to be:

Z = (x-μ)/σ

here μ is means and x is score

σ is standard deviation

the mean and standard deviations are given below :

μ = 1.07

σ = 0.12

x = 1

so, that the z-score of 1 gallon :

z = ( 1 - 1.07 )/ 0.12

z = - 0.07 / 0.12

z = -0.583

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