Three faces of a rectangular prism have areas 32 cm?, 40 cm?, and 20 cm? a) find the surface area of the prism. b) what are possible dimensions of the prism? how do you know? c) sketch and label the prism.

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:D

Step-by-step explanation:

i got it on edmentumn

Answer:

probably the furthest graph to the left.

Step-by-step explanation:

seems like a 25% 10% split.

Answer:  Equal to.

Step By Step Explanation:

Answer:

they are equal

Step-by-step explanation:

5/6 * 250

(5 * 250)/6

1250/6

208.33

(1/3 * 250) + (1/2 * 250)

(250/3) + (250/2)

500/6 + 750/6

1250/6

208.33

Answer: 4105.5

Step-by-step explanation:

The number of tickets sold in the previous year is 3723.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.

Therefore, the tickets sold in the previous year is:

4380 - 15% of 4380

= 4380 - 15×4380/100

= 4380 - 657

= 3723

Hence, the number of tickets sold in the previous year is 3723.

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Answer: 38 dollars

Step-by-step explanation:

The height of the shipping box in the shape of a rectangular prism is 15 inches

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

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Answer: Choice A

f(x) is exponential

g(x) is quadratic

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

Explanation:

Exponential functions are when the variarble is in the exponent only.

Quadratic functions are polynomials with the largest exponent being 2.

Answer:

f(x) is exponential; g(x) is Quadratic

The option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero.

Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

Because the requirement for normal is greater than 10, n×p is greater than 10 and nx(1-p) is also greater than 10.

This situation is abnormal because it is not valid. If p is close to 1 in a normal graph, then p is left skewed.

Thus, the option third is correct because nx(1-p)=2.6 less than equal to 10 then the sampling distribution [tex]\rm \hat{p}[/tex] is not approximate normal because p=0.87 is closer to 1 than zero. Sampling distribution [tex]\rm \hat{p}[/tex] is skewed to the left.

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Answer:

8. 3/10

9. 1/7

10. a

Step-by-step explanation:

Answer:

110

50+50=100

5+5=10

100+10=110

(thats how i do mental math)

Answer:

110

Step-by-step explanation:

Number of games won = Total games × Win percentage

General equation

By observing y=(x+4)²-6

So

The parabola graph is attached

Answer:

See below ~

Step-by-step explanation:

Given :

f(x) = (x+4)² − 6

f(x) = a(x + h)² + k

Another point on the parabola :

Graph :

Answer:

3.5 Is the answer, this is dialation

Answer:

x = 28

Step-by-step explanation:

Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.

T1 S1: 10 / 2 = 5

T1 S2: 8 / 2 = 4

T1 S3: 12 / 2 = 6

Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.

T2 S1: 35 / 5 = 7

T2 S2: x / 4 = ?

T2 S3: 42 / 6 = 7

Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.

x / 4 = 7

x = 7(4)

x = 28

Answer:

zero called 1 in this situation

Step-by-step explanation:

its your ans

The equation for the flowing rate of aamir is as follows y  =  -12x  +360

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First of all let's write the slope-intercept form of the equation of a line, which is:

y   =  mx  +  c

So we just need to find to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

Negative slope because Amir is descending. So:

y    =  -   12x  +  b

To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:

y  =  -12x  +  b

0  =   -12(30)   +  b

b   =   360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y  =  -12x  +360

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Answer:

11 meters per minute

Step-by-step explanation:

The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.

Hint #22 / 2

Two points whose coordinates are clearly visible from the graph are

(

0

,

440

)

(0,440)left parenthesis, 0, comma, 440, right parenthesis and

(

40

,

0

)

(40,0)left parenthesis, 40, comma, 0, right parenthesis.

Now, to find the slope, let's take the ratio of the corresponding differences in the

�

yy-values and the

�

xx-values:

0

−

440

40

−

0

=

−

440

40

=

−

11

40−0

0−440

​

=

40

−440

​

=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11

The slope of the line is

−

11

−11minus, 11, which means that Amir descended at a rate of

11

1111 meters per minute.

The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.

Check the picture below.

if the diameter of its base is 12, then its radius must be half that, or 6.

[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]

Answer:

5^2

Step-by-step explanation:

..................................................

Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46

Explanation:

1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140

2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.

3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n

(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.

4) (25-2)180 = 4140
4140 / 25 = 165.6

5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.  

Answer:

13 m

Step-by-step explanation:

5m + 8m = 13m

The answer is 13m as both of them are like term and can be added....

Answer:

Y= 3X-7

Step-by-step explanation:

the equation of the line has the formular

Y-Y1= M (X-X1)

here, M= slope= 3

X1=2 Y1= -1

Y--1= 3(X-2)

Y+1= 3X-6

Y= 3X-6-1

Y= 3X-7

Answer:

y=3x-7

Step-by-step explanation:

1. Use The Slope Formula

 y=mx+b

m=slope

b=y-intercept

2. Fill in the given values

y=3x+b

3. Use the given points to solve for b

-1=3*2+b

-1=6+b

-7=b

4. Final equation

y=3x-7

Answer:

=7*a-2

=7a-2

Step-by-step explanation:

_a-_

ATQ,

7 times means 7*

as per the question,

Nine times (7*) a number (a) minus two (-2)

Hope this helps you!! (ㆁωㆁ)

Answer:

Hello!!!

34pi or 106.81

Please read the explanation... it always helps... i promise...

Step-by-step explanation:

Alrighty the circle circumference states that... c = 2r pi

we need to find the radius which is always half of the diameter.... so 34/2=17

the radius is 17... now all we have to do is substitute 17 into the circumference formula...

(2)17 pi = 34pi OR 106.81

or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...

i hope this helps!!!!!!!

The circumference of the circle is approximately 106.96 inches.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The circumference C of a circle with diameter d is given by the formula:

C = πd

Substituting the given value of diameter, we get:

C = π(34) = 34π

Using an approximation of π as 3.14, we can calculate the approximate circumference as:

C = 34 × 3.14 = 106.96 inches

Therefore,

The circumference of the circle is approximately 106.96 inches.

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Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!

I assume you mean the equation

√(2x) = x - 4

Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.

(√(2x))² = (x - 4)²

2x = x² - 8x + 16

x² - 10x + 16 = 0

(x - 8) (x - 2) = 0

x - 8 = 0   or   x - 2 = 0

x = 8   or   x = 2

If x = 2, then x ≥ 4 is false. The only solution is then x = 8.

Answer:

Let DC be the tower and BC be the building. Then,

∠CAB=45

o

,∠DAB=60

o

,BC=20 m

Let height of the tower, DC=h m.

In right △ABC,

tan45 o = AB/BC

1=20/AB

AB=20m

In right∆ABD,

tan 60°=BD/AB

√3=h+20/20

h=20(√3-1)m

Using the Pythagorean identity, the value of the cosine ratio is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]

The given parameter is:

[tex]\sin(\theta_1) = -\frac{13}{85}[/tex]

By the Pythagorean identity, we have:

[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]

So, we have:

[tex](-\frac{13}{85})^2 + \cos^2(\theta_1) = 1[/tex]

This gives

[tex]\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2[/tex]

Evaluate

[tex]\cos^2(\theta_1) = 1 - \frac{169}{7225}[/tex]

Take LCM

[tex]\cos^2(\theta_1) = \frac{7225 -169}{7225}[/tex]

This gives

[tex]\cos^2(\theta_1) = \frac{7056}{7225}[/tex]

Take the square root of both sides

[tex]\cos(\theta_1) = \pm \frac{84}{85}[/tex]

Cosine is positive in the fourth quadrant.

So, we have:

[tex]\cos(\theta_1) = \frac{84}{85}[/tex]

Hence, the cosine value is [tex]\cos(\theta_1) = \frac{84}{85}[/tex]

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By finding the magnitude and bearing, we conclude that the correct option is:

"about 29 miles at 25° south of west"

For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.

Such that:

[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]

In this case, the original vector is (-26, -12), replacing that we get:

[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]

Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.

Then we can describe this vector as:

"About 29 miles at 25° south of west".

The first option is the correct one.

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Answer:

x = 34 degree

Step-by-step explanation:

they're corresponding angles. so, they have equal measures.

Answer:

Step-by-step explanation:

1. The moment he started: 3 bacteria

1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria

2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria

3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria

etc.

Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]

2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]

if a is greater than 0 and b is greater than 1, then it's exponential growth.

The answer is:

[tex]y=4^{x}[/tex]  (4 > 1)

3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).

4. Linear equation form: [tex]y=ax+b[/tex]

Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]

Exponential equation form: [tex]y=ab^{x}[/tex]

In this case, a = 3.8, b = -5.5, c = -4.8

5. (a) square root

(b) linear

(c) exponential

(d) quadratic

6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]

7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.

Ex. [tex]y=2^{x}[/tex]

values: 1 2 4 8 16 32...

1st diff: 1 2 4 8 16...

2nd diff: 1 2 4 8...

8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]

(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]

(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]

(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]