How many pairs of parallel edges are there this rectangular prism

How Many Pairs Of Parallel Edges Are There This Rectangular Prism

Answers

Answer 1

Answer:

6 i think

Step-by-step explanation:

if you count the top and bottom one, thats 2, the two sides, and the front and back. add 2+2+2 which is 6.


Related Questions

please help me solve. I have the answer in yellow, but it's not correct.

Answers

Remember that

27=(3)(3)(3)=3^3

so

[tex]\sqrt[]{3\cdot}\sqrt[\square]{27}=\sqrt[]{3\cdot}\sqrt[\square]{3^3}=\sqrt[]{3^4}=3^2=9[/tex]

answer is 9

so

9 NA

blank 1 ------> 9

blank 2 ------> NA

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(x) = x−1⁄3 (x − 12)

Answers

The critical value of the given function is = -11/2

The x values for which f'(x) = 0 are the crucial values of a function f(x).

The function in this quandary is:

h(x) = x−1⁄3 (x − 12)

The derivative is discovered using the quotient rule as follows:

[tex]h(x) = \frac{x - 1}{3(x - 12)} \\\\h'(x) = \frac{ (x-1) (3x - 36)' - (x - 1)'(3x - 36)}{(3x - 36)^{2} }\\\\h'(x) = \frac{ (x-1) (3) - (-1)(3x - 36)}{(3x - 36)^{2} }\\\\On equating it to 0\\\\\frac{ (x-1) (3) + 1(3x - 36)}{(3x - 36)^{2} } = 0\\\\3x - 3 + 3x + 36 = 0\\\\6x + 33 = 0\\\\x = \frac{-11}{2}[/tex]

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12+212+25,432*5,000+

Answers

Answer:

127160224

or use a calculator

need help with these parts. both parts use the same table

Answers

Given:

[tex]f(x)=h(2x)[/tex]

And the values in the table.

Required:

The equation of a normal line to f at x=3.

Explanation:

The equation of the line that passes through from point (x,y) and has slope m

is given by the formula

[tex]y-y_1=m(x-x_1)[/tex]

From the table at x=3, f(x)=h(2x)

that is f(3)= h(6)=9

And the slope from the table at x=3 is 1/2.

Now the equation of the line is:

[tex]\begin{gathered} y-9=\frac{1}{2}(x-3) \\ 2(y-9)=(x-3) \\ 2y-18=x-3 \\ x-2y=-15 \end{gathered}[/tex]

Final answer:

Thus the equation of the normal line is

[tex]x-2y+15=0[/tex]

Point P(-3, 4) is a point on the terminal side of 0 in standard form. Find the exact value ofsine, cosine, and tangent for 0.

Answers

Solution

Step 1

The terminal side, containing point (-3, 4) is located in Quadrant 2.

sine is positive

cosine and tangent are both negative.

Step 2

Draw a diagram to illustrate the information

Step 3

[tex]\begin{gathered} Find\text{ d using the Pythagoras theorem} \\ d^2\text{ = 3}^2+\text{ 4}^2 \\ d^2\text{ = 9 + 16} \\ d^2\text{ = 25} \\ d\text{ = }\sqrt{25} \\ \text{d = 5} \end{gathered}[/tex]

Step 4:

[tex]\begin{gathered} sine\text{ = }\frac{Opposite}{Hypotenuse} \\ Sin\theta\text{ = }\frac{4}{5} \end{gathered}[/tex][tex]\begin{gathered} Cosine\text{ = }\frac{Adjacent}{Hypotenuse}\text{ = }\frac{x}{d} \\ Cos\theta\text{ = }\frac{-3}{5} \end{gathered}[/tex][tex]\begin{gathered} tangent\text{ = }\frac{Opposite}{Adjacent}\text{ = }\frac{y}{x} \\ tan\theta\text{ = }\frac{-4}{3} \end{gathered}[/tex]

Final answer

[tex]\begin{gathered} sin\theta\text{ = }\frac{4}{5} \\ cos\theta\text{ = }\frac{-3}{5} \\ tan\theta=\frac{-4}{3} \end{gathered}[/tex]

Brittany has 34,011 in a savings account that earns 6% annually. the interest is not compounded. How much interest will she earn in 4 years? use the formula I = PRT, where I is the interest earned, p is the principal, r as the interest rate expressed as a decimal, and T is the time in years.

Answers

Notice that we are dealing with simple interest, and therefore given by the formula:

I = P * R * T

where P = $34,011

R = 6% in "decimal" form (0.06)

T = 4 (for 4 years)

Then, we have:

I = 34011 * 0.06 * 4 = $8162.64

This is the interest Brittany earned in 4 years.

If one of the flights is randomly selected find the probability that the flight silicon Rosa United Airlines flight given that it was on time.

Answers

Total of flights on time: 22 + 53 = 75

probability that the flight selected was silicon Rosa United Airlines:

53/75 = 0.71 = 71%

2(y−1)+6y = −10 please help fastest answer gets 37 points

Answers

2y -2 + 6y = -10

8y - 2 = -10

8y = -12

y = -1.5


Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that
each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 18 couples.
Find the expected number of girls in groups of 18 births

Answers

Answer:

since the method is deemed to have no effect

which means probability of having a girl child is same as having a boy child which is 0.5

Total births = 18

Therefore, expected number of girls in groups should be equal to = 0.5 × 18 = 9

I hope this is helpful

Which expression is equivalent to (sin 2θ)(sec2θ)? 2sin θ sin θ tan θ 2tan θ

Answers

Answer:

Explanation:

Here, we want to get the expression that is equivalent to the given expression

We have this as follows:

[tex]\begin{gathered} \text{ sec 2}\theta=\text{ }\frac{\sec^2\theta}{2-\sec^2\theta} \\ \\ \sin 2\theta\text{ = 2sin}\theta\cos \theta \end{gathered}[/tex]

Now, we can rewrite the overall expression as:

[tex]undefined[/tex]

(2tanθ-3cosθ) Expand

Answers

[tex]\begin{gathered} 2\tan \theta-3\cos \theta=2\frac{\sin\theta}{\cos\theta}-3\cos \theta \\ 2\frac{\sin\theta}{\cos\theta}-3\cos \theta=2\frac{\sin\theta}{\cos\theta}-3\frac{\cos ^2\theta}{\cos \theta} \\ 2\frac{\sin\theta}{\cos\theta}-3\frac{\cos^2\theta}{\cos\theta}=\frac{2\sin \theta-3\cos ^2\theta}{\cos \theta} \\ \frac{2\sin\theta-3\cos^2\theta}{\cos\theta}=\frac{2\sin \theta-3(1-\sin ^2\theta_{})}{\cos \theta} \\ \frac{2\sin\theta-3(1-\sin^2\theta_{})}{\cos\theta}=\frac{3\sin ^2\theta+2\sin \theta-3}{\cos \theta} \end{gathered}[/tex]

A circle has a diameter of 24 centimeters. Central angle FOG is drawn, determining an arc FG. The radian measure of angle FOG is 3/4 What is the length of arc FG in centimeters?16 cm9 cm32 cm18 cm

Answers

Answer:

9 cm

Explanation:

We are given the following information:

Diameter = 24 cm

Angle FOG = 3/4 rad

The formula for calculating arc length is written below:

[tex]\begin{gathered} L=\theta\times r \\ where\colon \\ \theta=central\text{ angle of }arc,\text{ in }rad \\ r=radius \\ r=\frac{\text{Diameter}}{2}=\frac{24}{2}=12cm \\ \theta=\frac{3}{4}rad \\ \text{Substitute these into the formula, we have:} \\ L=\frac{3}{4}\times12 \\ L=\frac{3\times12}{4} \\ L=9cm \\ \\ \therefore L=9cm \end{gathered}[/tex]

Therefore, the arc length is 9 cm

Assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500. In a random sample of 300 familles, how many pay morethan $6440 annually for day care per child?Of the 300 families, approximately pay more than 56440 annually for day care per child(Round to the nearest whole number as needed.)

Answers

Let's begin by listing out the information given to us:

Mean = $8,000, SD = $1,500

In a sample of 300, how many pay more than $6440?

In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree measure of angle Q, the central angle of the shaded sect

Answers

[tex]72^{\circ}[/tex]

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

[tex]\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}[/tex]

Thus, the centra angle of that shaded area is 72º

what is the slope of the line that passes through the points (-7,-8) and (-5,-6)? Write your answer in simplest form.

Answers

Answer:

m=1

Step-by-step explanation:

Find
d93 /dx93 *(cos x)
by taking the first few derivatives and observing the pattern that occurs.

Answers

d93 /dx93 *(cos x) = - sin x

Now,

d/dx (cos x ) = -Sin x

d2/dx2 (cos x) = - cos x

d3/dx3 (cos x) = sin x

d4/dx4 (cos x) = cos x

d5/dx5 (cos x) = - sin x

d6/dx6 (cos x) = -cos x

The same pattern will repeat for every 6th derivative so ,

Now,

93 = (4 x 23) + 1

Therefore,

d93 /dx93 *(cos x) = - sin x

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Solve for brainliest and 20 points

Answers

Answer:

x = 50

Step-by-step explanation:

50 x 3 - 15 = 135

an octagon has 8 sides & 8 angles. 135 x 8 = 1,080 which is the amount of degrees an octagon equals.

Answer:

50

Step-by-step explanation:

Total angles in an octagon is 1080

Because there are 8 sides you must divide 1080/8 to find the angle of one side ... 1080/8 = 135

3x-15=135

1) 135+15 = 150

2)150/3=50

Hope this helps, have a great day!

For what values of m does the graph of y = 3x² + 7x + m have two x-intercepts?
0 m> 25
O
Om<25
3
49
Om 12
49
m> 12

Answers

The graph of y = 3x² + 7x + m will have two x-intercepts if m < 49/12.

The given function is,

y = 3x² + 7x + m

Having two x-intercepts means that the value of y should be 0.

So, we can write,

3x² + 7x + m = 0

Now, this has become a quadratic equation and it will have two zeroes according to the question,

As we know, the condition of quadratic to have two different values of x is,

0 < √(b²-4ac)

Where,

a = 3

b = 7

c =m

Putting all the values,

√(7²-4(3)(m)) > 0

Squaring both sides,

7²-4(3)(m) > 0

49-12m > 0

49/12 > m.

So, the graph will have two intercepts if m < 49/12.

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- The Freedom Tower in New York City is 1776 feet
tall. The equation f(t) = -16t² + 1776 models the
height f(t) (in feet) of an object t seconds after it is
dropped from the top of the tower.
a. After how many seconds will the object hit the
ground? Round your answer to the nearest
hundredth of a second.
b. What is the height of the object 3 seconds after
it has been dropped from the top of the tower?
A golf ball is hit from the ground, and its height
can be modeled by the equation h(t) ==16t² + 128t,
where h(t) represents the height (in feet) of the ball
t seconds after contact. What will the maximum
height of the ball be?

WILL GIVE BRAINLIEST PLSSS

Answers

Part a: time when object hit the ground is 10.5 sec.

Part b: The height of the object 3 seconds is 1632 ft.

What is termed as the equation of motion?A mathematical formula which describes this same position, velocity, as well as acceleration of a body in relation to a specific frame of reference is known as an equation of motion. The equation of motion is second law, that also states that the force that acts on an object is equivalent to the mass m of a body multiplied by the acceleration an of its center of mass.

For the given question;

The equation that models the height f(t) (in feet) of an object t seconds after it is when dropped from the top of the tower is,

f(t) = -16t² + 1776

Part a: time when object hit the ground.

When the object hit the ground, height will be zero.

Put f(t) = 0.

0 = -16t² + 1776

-16t² = -1776

t² = 111

t = 10.5 sec.

The, time after which the object will hit the ground is 10.5 sec.

Part b: The height of the object 3 seconds;

Put t = 3 in the equation.

f(3) = -16(3)² + 1776

f(3) = 1632 ft

The height of the object after 3 sec will be 1632 ft.

Thus, the values for the object hitting the ground are found.

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Consider the rectangle with width 20 in and length 26 in, write a ratio of the width to length

Answers

The ratio of the width of the rectangle to the length of the rectangle is 10/13

We are provided with the rectangle. The dimensions of the rectangle are mentioned below;

Width of rectangle = 20

Length of rectangle = 26

We were asked to calculate the ratio of width of the rectangle to the length of the rectangle. So, to calculate the ratio of width of the rectangle to the length of the rectangle we need to divide the width of rectangle to the length of the rectangle as mentioned below;

( Width of rectangle/Length of rectangle ) = 20 / 26

( Width of rectangle/Length of rectangle ) = 10/13

So, we can finally conclude that the ratio of width of the rectangle to the length of the rectangle is 10/13 .

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Describe the shape, orientation, and vertex of
each parabola relative to the graph of y=x².
Sketch each graph.
a) y=-0.5x² + 2
c) y = -0.1x² - 6
e) y=-3x²-5
g)y=8x²+4
b) y = 2x²
d)y=x²+4
f) y=0,1x² +2
h) y=-0.7x²-3

Answers

The parabola y = - 0.5x² + 2 opens downwards and the vertex is at (0,2) .

A parabola is a mirror-symmetric planar curve with a rough U-shape. It can be defined by many seemingly unrelated mathematical descriptions that all relate to the same curves.

One way to interpret a parabola is with a line and a point (the focus) (the directrix). The directrix is less significant. The parabola lies between the directrix or the focus and the endpoints in this plane that are uniformly spaced apart.

a) y=-0.5x² + 2 vertex is at (0,2)

c) y = -0.1x² - 6 vertex at (0,6)

d)y=x²+4 vertex at (0,-4)

e) y=-3x²-5 vertex at (0,5)

g)y=8x²+4 vertex at (0,-4)

h) y=-0.7x²-3 vertex at (0,3)

A parabola can also be thought of as a conic section formed by joining a right circular conical area with a plane perpendicular to another axis.

The graph of the parabola is attached below.

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How long do people typically spend traveling to work? The answer may depend on where they live. Here are the travel times in minutes of 20 randomly chosen workers in New York state

Answers

Based on the information given, the standard deviation for the observation is: 23.802698 or approximately 24.

What is Standard Deviation?

The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The formula for Standard deviation is given as:

σ[tex]= \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} .[/tex]

Where

σ = population standard deviation

[tex]\bar x[/tex] =  mean

x = each value of the population

n = number of observation

Note that mean ([tex]\bar x[/tex]) = [tex]\( \frac{1}{n} \sum_{i=i}^{n} x_{i} \),[/tex]

[tex]\bar x[/tex] = (5+10+10+10+10+12+15+20+20+25+30+30+40+40+60+60+65+70+70+70)/20

= 33.6

Hence the standard deviation for travel times for these  20 New York workers is:

Standard Deviation = [tex]\sqrt{\frac{\sum(x_{1} - {\bar x})^{2} }{n-1} }[/tex]

= √ [(5-33.6)²+ (10 - 33.6)² + .... + (70 - 33.6)²]/(20-1)]

Standard Deviation = √(10764.8)/(20-1)

SD = √(10764.8/19)
SD = √566.56842
SD = 23.802698

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Full Question:

How long do people spend traveling to work? The answer may depend on where they live here are the travel times in minutes for 20 workers in New York chosen at random by the census bureau:

5 10 10 10 10 12 15 20 20 25 30 30 40 40 60 60 65 70 70 70

What is the standard deviation for travel time for these 20 New York state workers?

Arc Length S. Central Angle 0 82 miles. 135°Find the radius and radians r of a circle with an arc length s and a central angle 0.

Answers

Central angle of 135 degrees = 135 (Pi/180) = (3/4)Pi = 2.356 radians

First answer:

Central angle = 2.356 radians

Arc lenght = 2 Pi r (angle/360), in this case:

82 = 2 Pi r (135/360) = 2 Pi r (3/8) = (3/4) Pi r

82 = (3/4) Pi r

r = 82/(3/4)Pi = 82/2.35619449

r = 34.80188089

Second answer:

Radius = 34.8 miles

What value of x makes this equation true?x+7------7A. 6B. 8C. 35 D. 42

Answers

We have

[tex]\begin{gathered} \frac{x+7}{7}=6 \\ x+7=6\times7 \\ x+7=42 \\ x=42-7 \\ x=35 \end{gathered}[/tex]

Option C

11. Algebra The total cost of the Fatigato
family's two cars was $71,482. The cost of
one car was $38,295. Write an equation
using a variable to represent the cost of
the family's other car.

Answers

Answer:

$33,187

Step-by-step explanation:

Our total is 71,482 so let's set our equation to 71482=_________

Now we have $38,295 for one car, and we will subtract it from the total to find the other car, as there are 2 cars.

Equation:

71482-38295=x OR 71482=38295+x

X is the cost of the second car.

How many solutions does this system of equations have?
y = x2 + x + 3
y = -2x - 5

Answers

Answer: (x, y) = (-8/5, -9/5)

Evaluate the expression below using the properties of operations. -36 ÷ 1/4 • (-1/8) • (-3) ÷ 6

Answers

Answer:

-9

Step-by-step explanation:

We are working with multiplications and divisions, which have no precedence over each other. So we can do the operations in order. It is important to remind that in these operations, if two numbers have different signals, the result of the operation is negative, otherwise, positive.

-36 ÷ 1/4

Different signals, so the result will be negative

[tex]\frac{-36}{\frac{1}{4}}=-36\ast\frac{4}{1}=-36\ast4=-144[/tex]

-36 ÷ 1/4 • (-1/8) = -144 * (-1/8)

Same signal, so positive

[tex]-144\ast(-\frac{1}{8})=\frac{144}{8}=18[/tex]

-36 ÷ 1/4 • (-1/8) • (-3) = 18 * (-3) = -54

-36 ÷ 1/4 • (-1/8) • (-3) ÷ 6​ = -54 ÷ 6​ = -9

4. A student asks, “If the average income of 10 people is $10,000 and one person gets a raise of $10,000, is the median or the mean changed and, if so, by how much?

Answers

Since we don't know the specific income of each person in the sample, we don't know for sure if the median will change. Nevertheless, the mean will surely raise.

Since the current average income is $10,000, if one of them gets a raise of $10,000, then the sum of all incomes would be $100,000+$10,000=$110,000. And the new average income will be:

[tex]\frac{110,000}{10}=11,000[/tex]

Then, the mean increases by $1,000, and we can't say anything about the median.

a=460 rounded to the nearest 10 b=11.9 rounded to 1 dp find the minimum (to 2 dp) of a / b

Answers

The minimum result (to 2 dp) of a / b is 38.66

What is rounding decimals?The term "rounding decimals" refers to the accurate rounding of decimal figures. When rounding a decimal number, certain principles must be followed. Simply put, if the last digit is less than 5, round down the previous digit. However, if it is 5 or greater, round the previous digit up.

Given:

a=460 rounded to the nearest 10

b=11.9

Now, substitute the values of a and b in a/b,

a/b = 460/11.9

Multiply the same integer(10) by both the numerator and denominator,

a/b = 4600/119

Round the number obtained

a/b ≅ 38.66

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Which equation has a constant of proportionality equal to 1? Choose 1 answer: A y 10 1 11 B y 7 8 3 y = 15 D y = 2

Answers

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constan of proportionality

therefore

in this problem

the answer is the option D

y=x

because, the value of k =1

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