The volume of a rectangular prism can be modeled by the expression 4x3 - 108.

Find expressions for the dimensions of the prism by factoring, Write dimensions in box.

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

Answer:

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

                                                           n = 8

Therefore, q = 1 - p

                     = 1 - 0.53

                     = 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

  Probability that none of the household in the sample group have a landline service is

= P( x = 0)

[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

 P(x = 5)

[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]

= 0.24

Answer:

factor:

x^2+2x+2x+4

x(x+2)+2(x+2)

(x+2)(x+2)

100x^2+20x+1

100x^2+10x+(10x+1)

10(10x+1)+(10x+1)

(10x+1)(10x+1)=(x+2)(x+2)

Hope this helps you

Answer:

1/9, (-3)/11

Step-by-step explanation:

Both the left and right side are perfect squares,

                                         (x + 2)^2 = (10x + 1)^2

In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:

                                         (x + 2) = [tex]\pm[/tex] (10x + 1)

or

                                         x + 2 = -10x - 1

Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11

Answer:

14%, 1/4, 1.4

Step-by-step explanation:

14% = .14

1/4 = .25

1.4 = 1.4

Answer:

14%, 1/4, 1.4

Step-by-step explanation:

Answer:

Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line

Answer:

y>4x-2

Step-by-step explanation:

Find the slope, which is 4, from (0,-2) and (1,2).

Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).

We know the equation would be a greater/less than sign because the line is dashed.

To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).

(0)<4(0)-2       (0)>4(0)-2

0<0-2              0>0-2

0<-2                0>-2

The one on the right, 0>-2, is true so the sign is a greater than sign.

Answer:

$20

Step-by-step explanation:

To find out sale

50 x .25 = 12.5

To find out tax

37.5 x .06 = 2.25

Then final price

37.5 + 2.25 = 39.75

If they spilt price

$19.88

Answer:

1. $37.5 without tax

2. Split bill with tax: $19.88

3. Split bill withput tax: $18.25

Step-by-step explanation:

Make an equation first.

y=.25 (50)

This would help solve the amount for the discpunt sale.

The discout is $12.5 off.

50-12.5=37.5

Now we have tp solve for the tax amount.

y=0.06 (37.5)

y=2.25

2.25 is the tax amount.

We have to add these all together to get the answer for part 1.

37.5+2.25= $39.75

Answer:

ttft

Step-by-step explanation:

Answer:

10+2x

the tree would be 40 feet tall in 15 years.

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

y = -2x - 4         ...1

y = 2x - 4          ...2

From equations 1 and 2, then we have

2x - 4 = - 2x - 4

4x = 0

x = 0

Then the value of the variable 'y' is calculated as,

y = 2(0) - 4

y = - 4

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

I think the slope is -20/17 hope this helps

Answer:

The answer is C. 60-6m.

Answer:

Step-by-step explanation:

cows   chickens    legs                                               animals

 1               11             26        (1×4+11×2=4+22=26)     1+11=12

 2               9            26        (2×4+9×2=8+18=26)      2+9=11

 3               7          26         (3×4+7×2=12+14=26)      3+7=10

 4               5          26         (4×4+5×2=16+10=26)      4+5=9

 5               3           26        (5×4+3×2=20+6=26)      5+3=8

 6               1            26        (6×4+1×2=24+2=26)       6+1=7

1. minimum number of animals=7

2. chickens=3

3. cows=4

chickens=5

Answer:

C. 1-x

Step-by-step explanation:

Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer

Answer:

75?

Step-by-step explanation:

1/4 = 25

25 x 3 =75

      ----

3/4=75

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3

Answer:

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

Step-by-step explanation:

Given the following refrigerator characteristics :

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.

Answer:

107

Step-by-step explanation:

Since they are congruent triangles angle B is the same as angle D.

To find D, all angles add to 180 degrees, so:

41+32+x=180

73+x=180

X=107

So angle B is 107 degrees

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

Answer:

y=1

Step-by-step explanation:

The numbers are all even, so if you are looking for what is in the middle of 2 lines then you would use a odd number.

Answer:

the answer is 4

Step-by-step explanation:

none of the options are right

Answer:

Step-by-step explanation:

(6-2i)(2-3i)=

we will use foil to multiply

-12-18i-4i+6(i^2)=

now remeber that (i^2)=-1

=12-22i-6=6-22i

Explanation: To multiply two complex numbers, use the F.O.I.L method.

So we have (6 - 2i)(2 - 3i).

So we have 12 - 18i - 4i + 6i².

Combining like terms, we have 12 - 22i + 6i².

Now, remember that i² is equal to -1 so we have

12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.

So our answer is 6 - 22i.

I think it might be six, sorry if its wrong, but I hope its right!!

Hope this helps!!!!

love: Deku <3

Answer:

The tree is 12.5ft Step-by-step explanation: 1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW

2.  TREE'S HEIGHT over WOMAN'S HEIGHT equals TREE'S SHADOW over WOMAN'S SHADOW

or some other ways as long as you pair them up by 'height', or pair them up by

'shadow'.  {But don't get them criss-crossed)

Let TREE's HEIGHT = t.

A tree casts a shadow 7.5 ft long

TREE'S SHADOW = 7.5

at the same time that

a woman 5 ft tall

WOMAN'S HEIGHT = 5

casts a shadow 3 ft long.

WOMAN'S SHADOW = 3

So if you use

1.  TREE'S HEIGHT over TREE'S SHADOW equals WOMAN'S HEIGHT over WOMAN'S SHADOW

cross-multiply:

3t = 37.5

 t = 12.5

or if you use

2.cross-multiply

3t = 37.5

 t = 12.5

Either way, the tree is 12.5 feet tall.    

Answer: I got 12.5 too

Step-by-step explanation:

Answer:

[tex]\mathrm{11.\:}\frac{176}{5}\pi\:\mathrm{ft^2},\\\\\mathrm{12.\:}\frac{1573}{18}\pi\:\mathrm{mi^2},\\\\\mathrm{13.\:}\frac{269.08}{24}\pi\:\mathrm{km^2}\\\\\mathrm{14.\:}\frac{252.05}{6}\pi\:\mathrm{cm^2}\\\\\mathrm{15.\:}\frac{870.75}{72}\pi\:\mathrm{yd^2}\\\\\mathrm{16.\:}\frac{5953.48}{36}\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a sector can be given as:

[tex]\frac{c^{\circ}}{360^{\circ}}\cdot r^2\pi[/tex], where [tex]c[/tex] is the angle of the sector in degrees.

Problem 11:

[tex]\frac{88^{\circ}}{360^{\circ}}\cdot 12^2\pi=\fbox{$\frac{176}{5}\pi\:\mathrm{ft^2}$}[/tex]

Problem 12:

[tex]\frac{260^{\circ}}{360^{\circ}}\cdot 11^2\pi=\fbox{$\frac{1573}{18}\pi\:\mathrm{mi^2}$}[/tex]

Problem 13:

Convert radians to degrees:

[tex]\frac{7\pi}{12}\cdot\frac{180}{\pi}=105^{\circ}[/tex]

[tex]\frac{105^{\circ}}{360^{\circ}}\cdot 6.2^2\pi=\fbox{$\frac{269.08}{24}\pi\:\mathrm{km^2}$}[/tex]

Problem 14:

Convert radians to degrees:

[tex]\frac{5\pi}{3}\cdot \frac{180}{\pi}=300^{\circ}[/tex]

[tex]\frac{300^{\circ}}{360^{\circ}}\cdot 7.1^2\pi=\fbox{$\frac{252.05}{6}\pi\:\mathrm{cm^2}$}[/tex]

Problem 15:

[tex]\frac{215^{\circ}}{360^{\circ}}\cdot 4.5^2\pi=\fbox{$\frac{870.75}{72}\pi\:\mathrm{yd^2}$}[/tex]

Problem 16:

Convert radians to degrees:

[tex]\frac{13\pi}{18}\cdot\frac{180}{\pi}=130^{\circ}[/tex]

[tex]\frac{130^{\circ}}{360^{\circ}}\cdot 21.4^2\pi=\fbox{$\frac{5953.48}{36}\pi\:\mathrm{m^2}$}[/tex]

Answer:

0.5s + 8 is the cost if he downloaded s songs

$28 is the cost for downloading 40 songs

Step-by-step explanation:

First, create an equation to represent the cost where s is the number of songs

Since it is 0.50 per song, the cost per song can be represented by 0.5s. Then, add 8 to this in the equation to represent the monthly fee.

Put this together:

0.5s + 8 is the cost if he downloaded s songs

Plug in 40 as s to find the cost for 40 songs downloaded:

0.5s + 8

0.5(40) + 8

20 + 8

= 28

So, the cost for downloading 40 songs is $28

Answer:

28

Step-by-step explanation:

40 downloaded songs times .50 = 20 dollars plus the 8 dollars he pay every mouth so it's 28 dollars that mouth where he downloaded 40 songs.

y = s x .50 + 8

Answer:

8

Step-by-step explanation:

Hi there! :)

[tex]\large\boxed{P = 32cm}[/tex]

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

Draw out a number line. Make sure 4 is on the number line. At this location, plot an open circle. The open circle indicates "do not include this endpoint as part of the solution set". We shade to the right of this open circle.

Visually this describes all real numbers that are larger than 4.

Answer:

Visually this describes all real numbers that are larger than 4.

HOPE THIS HELPS :}