Consider the rectangular prism.What is the surface area of the rectangular prism?

124 in
208 in
240 in
248 in

Answer:

One on the left = -1

One on the right = 1/3

Step-by-step explanation:

[tex]slope=\frac{rise}{run}[/tex]

One on the left = [tex]\frac{-3}{3} =-1[/tex]

One on the right = [tex]\frac{1}{3} =\frac{1}{3}[/tex]

The gradient of the first line and the second line will be 1 and 1/3, respectively.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The gradient of the first line is given as,

m = 3 / 3

m = 1

The gradient of the second line is given as,

m = 1 / 3

The gradient of the first line and the second line will be 1 and 1/3, respectively.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2

Answer:

20

Step-by-step explanation:

4+4+6+6=20

(JUST WHAT SHE SAID)(SORRY FOR THE CAPS HERE)

Answer:

The number 3.97 is very close to the whole number 4. Therefore, the difference of 4.3 - 3.97 is about 0.33. So, the difference of 4.3 - 3.97 is less than 1.

Remember: The farther the number is to the right, the smaller it becomes.

Ex. 0.10 is greater than 0.100 since the number is shorter and closer to the ones/whole number spot.

:)

Answer:

(x + 10)(x + 2)

Step-by-step explanation:

x² + 12x +20

(x + 10)(x + 2)

Answer:

(x+2)(x+10)

Step-by-step explanation:

The given trinomial needs to be factorised. On the basis of degree of power of polynomial it can also be called a quadratic polynomial . General form is ax² + bx + c .

= x² + 12x + 20

= x² + 10x + 2x + 20

= x ( x + 10 ) + 2( x + 10 )

= ( x + 2)( x +10)

Answer:

its option B : 18x3 – 12x2 + 9x – 6

Step-by-step explanation:

[tex]12( \frac{ -2 }{3}) {}^{2} +23( \frac{ - 2}{3} )+10= \frac{16}{3} − \frac{46}{3} +10=0[/tex]

12x² + 15x + 8x + 10 has a binomial factor of (3x+2).

ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

We may utilize the factor theorem, which asserts that if a polynomial f(x) has a component (x - a), then f(a) = 0, to identify which polynomial has (3x + 2) as a binomial factor.

In this situation, finding a value of x that reduces 3x + 2 to zero is necessary since we are trying to discover a polynomial that contains (3x + 2) as a component. We obtain x = -2/3 by solving 3x + 2 = 0.

Let's try the polynomials one by one:

(a) 6x³ + 3x² + 4x + 2:

f(-2/3) = 6(-2/3)³ + 3(-2/3)² + 4(-2/3) + 2

= -8/3 - 4/9 - 8/3 + 2

= -32/9,

so (3x + 2) is not a factor.

(b) 12x² + 15x + 8x + 10:

f(-2/3) = 12(-2/3)₂ + 15(-2/3) + 8(-2/3) + 10

= 16/3 - 10 - 16/3 + 10

= 0,

so (3x + 2) is a factor.

(c) 18x³ - 12x² + 9x - 6:

f(-2/3) = 18(-2/3)³ - 12(-2/3)² + 9(-2/3) - 6

= -32/3 + 8/3 - 6 - 6

= -32/3,

so (3x + 2) is not a factor.

(d) 21x⁴ + 7x³ + 6x + 2:

f(-2/3) = 21(-2/3)⁴ + 7(-2/3)³ + 6(-2/3) + 2

= 64/27 - 56/27 - 4 + 2

= 2/27,

so (3x + 2) is not a factor.

Therefore, the only polynomial that has (3x + 2) as a binomial factor is 12x² + 15x + 8x + 10.

Learn more about Quadratic equations here:

https://brainly.com/question/22364785

#SPJ7

Given:

The function is:

[tex]f(x)=x^2-16[/tex]

To find:

The inverse of the function.

Solution:

We have,

[tex]f(x)=x^2-16[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=x^2-16[/tex]

Step 2: Interchange x and y.

[tex]x=y^2-16[/tex]

Step 3: Isolate y.

[tex]x+16=y^2[/tex]

[tex]\pm \sqrt{x+16}=y[/tex]

[tex]y=\pm \sqrt{x+16}[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]

Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].

Answer: $770

Step-by-step explanation:

Number of units to be purchased by Alicia:

= 200,000 / 1,000

= 200 units

Alicia is purchasing a 5-year term life insurance policy. At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.

The formula for the annual premium is:

= Number of units purchased * Premium per $1,000

= 200 * 3.85

= $770

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

Answer:

I can't able to understand this question plz check this question if it is right or not

Answer:

1/12

Step-by-step explanation:

[tex]\frac{1}{4} - \frac{1}{6}[/tex]

[tex]\frac{6 - 4}{24}[/tex]

[tex]\frac{2}{24}[/tex]

Converting to its simplest form, divide numerator and denominator by 2 = 1/12

The probability that the next student he sees will be a boy with brown eyes is 25%. All of them are the exact same so 100 divided by 4 is 25.

Answer:

15 ÷ 17

Step-by-step explanation:

Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,

From trigonometric ratios, cosx° = adjacent/hypotenuse

= 15 cm/17 cm

= 15/17

= 15 ÷ 17

Answer: $8 bowl, noodles, bean sprouts, beef

Step-by-step explanation:

Answer:

Option C is correct.

(3x)² - 2²

Answer: It is D or C

Step-by-step

I think it is D or C because 9 times 2 is 18. 18 minus 4 is 14. And all the other equations equal something else. The first one is 3- 2times 2 and that is 4 so that would be one. The second is x minus 4 that would be 8. Then the next would be 9 minus 4. That is 5 so it is either C or D.

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

Answer:

B. 525 L

Step-by-step explanation:

Answer:

The highest temperature was 33C warmer  than the lowest temperature.

Step-by-step explanation:

In order to find how many degrees warmer was the highest temperature, you have to calculate the difference between both temperatures:

23-(-10)

According to the sign rule, you have to change the subtraction sign  to addition and then, change the sign on the umber after that and add the numbers, which is:

23+10=33

According to this, the answer is that the highest temperature was 33C warmer  than the lowest temperature.

[tex]4000(1.003)^{(x-1)}[/tex]

Step-by-step explanation:

Answer:

Part A

750, 2250, 6750, 20250, 60750

Part B

1640250

Answer:

(-6, -7)

Step-by-step explanation:

For the x coordinates:

-1 - 4 = -5

-1 + -5 = -6

For the y coordinates:

-5 + -3 = -2

-5 + -2 = -7

I don't know how to explain it well sorry

Answer:

.305

Step-by-step explanation:

Step-by-step explanation:

2/33=6/x

x=99

since there are 11 rest stops and you are trying to find the space in the middle of the two rest stops.

99/11 rest stops

9 miles in between rest stops

9/y=30/1

9/30=y

3/10=y

.3 inches=y

Hope that helps :)

Answer:

6(2x+3)

Step-by-step explanation:

There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.

Hope this helped! :)

Answer:

A is incorrect!  B. should be the correct answer

Step-by-step explanation

After some research, i found that the correct answer is most likely B.  a regression line and trend line are equivalent terms

A trendline and a regression can be the same.

A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized).

It can be quadratic or logistic or otherwise, but most often it is linear.

A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).

Let me know if i helped you!

The statement that is true about a trend line is B. A regression line and trend line are equivalent terms.

It should be noted that the trend line doesn't represent only the largest data points. It can also represent the smallest data points.

The regression line and the trend line are not opposite terms but rather, the regression line and trend line are equivalent terms.

In conclusion, the correct option is B.

Read related link on:

https://brainly.com/question/20937091

Answer:

One

Step-by-step explanation:

3x-5=-3 add 5 to each side.

3x-5+5=-3+5   simplify.

3x=2       divide each side by three.

3x/3=2/3     simplify

x=2/3

Answer:

h = 6.5 feet

Step-by-step explanation:

The height of the frog as a function of time is given by :

[tex]h= -0.5t^2 +3t+2[/tex] .....(1)

We need to find the maximum height reached by the frog. We can find it as follows :

Put [tex]\dfrac{dh}{dt}=0[/tex]

So,

[tex]\dfrac{d}{dt}(-0.5t^2 +3t+2)=0\\\\-t+3=0\\\\t=3[/tex]

Put t = 3 in equation (1).

[tex]h= -0.5(3)^2 +3(3)+2\\\\h=6.5\ feet[/tex]

So, the maximum height is 6.5 feet.

Answer:

x = 94

Step-by-step explanation:

(86 + x)/2 = 90

86 + x = 180

x = 94

Answer: 52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.