2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?

Answer:

(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D

So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D

Put x=1 , we get 3−8+10=D

D=5

Comparing the coefficient of x3 on both sides we get , A=3 .

So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5

Now compare the constant on both sides , 10=−3+B−C+5

=>8=B−C - (1)

Comparing the coefficent of x2 we get −8=−9+B

=>B=1

So , put B=1 in (1) , we get C=−7

Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45

Step-by-step explanation:

hope it helps

Answer:

true because there are going to be many heights already

Step-by-step explanation:

i it's true

this is because already there will be

so many heights

The volume of the bag of nuts is the amount of nuts it can contain

The volume of the bag of nuts is 84.78 cubic inches

From the figure, we have the following parameters:

The volume of a cone is calculated using:

V = 1/3 πr^2h

Substitute the known values

V = 1/3  * 3.14 * 3^2 * 9

Evaluate the product

V = 84.78

Hence, the volume of the bag of nuts is 84.78 cubic inches

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Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

[tex]\overline{x} = 43, s = 6, n = 20[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

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Answer:

scale factor = 6

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, shape B to shape A

base of shape A = 1 , base of shape B = 6 , then

scale factor = [tex]\frac{6}{1}[/tex] = 6

After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.

The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.

From figure

For small triangle:

base = 1 units

For large triangle:

base = 6 units

Now the scale factor = ratio of adjacent sides

Scale factor = (Base of large triangle)/(Base of small triangle)

Scale factor = 6/1

Scale factor = 6

Hence,

The scale factor is 6.

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Answer:

1/36

Step-by-step explanation:

The chance of you rolling a 5 is 1/6

While the chance of you rolling a 3 is a 1/6

If you want both a 5 then a 3 then you multiply the fractions

1/6 * 1/6 = 1/36

Answer:

$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)

Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065

Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

So you need to have y=3000(b)^x

We now know that the rate of growth is 1.065 so the b would be 1.065

y=3000(1.065)^x

Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

Answer:

There are 1.07 non winners in group A for every 1 non winner in group B

Or: 1.07:1

Or: 7% more non winners in group A

Step-by-step explanation:

Group A:

765*3/5 = 459 non winners

Group B:

716*3/5 = 429 non winners

Final Calculation:

459/429 = 1.07

Answer:

A.no solution

Step-by-step explanation:

[tex]12t- 4 - 7t = 5t - 4[/tex]

[tex]12t - 7t = 5t - 4[/tex]

[tex]5t = 5t - 4[/tex]

[tex]5t - 5t = - 4[/tex]

[tex]0 = - 4[/tex]

Answer:

  0.34

Step-by-step explanation:

You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.

  area = 68%/2 = 34% = 0.34

__

Your calculator can tell you the same thing.

Answer:

3/4

Step-by-step explanation:

⇒ P(T) = 1/2

⇒ P(Q) > P(T)

⇒ P(Q) > 2

A possible probability is :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair

And since they for straight line, their Angle sum will be equal to 180°

that is :

[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]

[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]

Answer:

y = 38°

Step-by-step explanation:

We know that the angles in a straight line are added up to 180°.

So,

90 + y + 52 = 180

142 + y = 180

y  = 180 - 142

y =  38°

The elevation of the plane is 3600 ft

Let

From the triangle, we have the trigonometric ratio

tanФ = h/D

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

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Answer:

3/10

Step-by-step explanation:

Taking the decimal values (upto the thousandths place)

Clearly,

3/10 is the smallest number among the given options.

Given that are numbers we need to check which is the smallest from this,

To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.

The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).

Now, let's convert each fraction to have a denominator of 120:

1/3 = 40/120

3/10 = 36/120

2/5 = 48/120

3/8 = 45/120

Comparing the numerators, we can see that 36/120 (3/10) is the smallest.

Therefore, 3/10 is the smallest number among the given options.

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Answer:

Daughter is now 10 The mother is 30

Step-by-step explanation:d

d=daugter

5d=mother

5d = 2d +5 +10

3d =15

d=5

5 years ago    d=5  m=25

now                  d=10 m=30

in10 years        d=20 m=40

If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a diameter of 6 cm and a height of 3 cm.

Then the surface area of the cylinder will be

[tex]\rm SA = \pi d h[/tex]

We have

d = 6 cm

h = 3 cm

Then the surface area will be

[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]

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Answer:

8840

Step-by-step explanation:

Answer:

8,840

Step-by-step explanation:

Step-by-step explanation:

[tex]0.07 \times x = 441[/tex]

[tex]x = \frac{441}{0.07} [/tex]

[tex]x = 6300[/tex]

Answer:

-1

Step-by-step explanation:

Given function:  [tex]f(x)=-x^2+4x-3[/tex]

[tex]\implies f(-2)=-(-2)^2+4(-2)-3=-15[/tex]

[tex]\implies f(7)=-(7)^2+4(7)-3=-24[/tex]

[tex]\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}\quad\textsf{for}\:a\leq x\leq b[/tex]

Therefore, average rate of change over the interval -2 ≤ x ≤ 7

[tex]\implies \textsf{Average rate of change}=\dfrac{f(7)-f(-2)}{7-(-2)}=\dfrac{-24-(-15)}{9}=-1[/tex]

Answer:

option A

Step-by-step explanation:

Answer os option a

Step-by-step explanation:

First find out the value of X and second find the value of Y and where is figure

Step-by-step explanation:

please mark as brainliest please

Answer:

Yes and yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The altitude of each plane can be expressed by an equation that adds the initial altitude and the product of time and its rate of climb.

  plane A: y = 4057 +60.75t

  plane B: y = 5000 +40.25t

__

We want to find the time when their altitudes are the same:

  4057 +60.75t = 5000 +40.25t . . . . equate the expressions for y

  20.50t = 943 . . . . . . . . . subtract (40.24t +4057)

  t = 46 . . . . . . . . . . . . divide by the coefficient of t

At t=46, the altitude of the planes will be ...

  y = 5000 +40.25(46) = 5000 +1851.5 = 6851.5

The planes are at the same altitude after 46 seconds.

Both planes will be at an altitude of 6851.5 feet.

Answer:

Step-by-step explanation:

No solution; 3x+y-1 =/ 0