A box is partially filled with books. If 24 cubic inches of the box are already filled and there are 12 cubic inches of space left, what is the total volume of the box (in cubic inches)?

Answer:3

Step-by-step explanation:

Answer:

The answer on edge. is f(x) =  9,974.73  ( 1.05 )x

Step-by-step explanation

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The value that complete the regression equation is f(x) =  9,974.73  ( 1.05)^x.

How to solve for the value

We have the exponential equation as

[tex]y=ab^{x}[/tex]

a is the initial rate

b is the rate

x is 0

y = 10000

When substituted the rate is given as

f(x) =  9,974.73  ( 1.05 )x

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Answer:

b

Step-by-step explanation:

y= -3x+7

Answer:

The answer is option 2.

Step-by-step explanation:

It is given that the slope of the line is -3 so you just have to substitute it into the slope-form equation, y = mx+b where m is gradient and b is y-intecept. In order to find b value, you have to put in the coordinates :

[tex]y = mx + b[/tex]

Let m = -3,

[tex]y = - 3x + b[/tex]

At (1,4),

[tex]4 = - 3(1) + b[/tex]

[tex]4 = - 3 + b[/tex]

[tex]b = 4 + 3[/tex]

[tex]b = 7[/tex]

[tex]y = - 3x + 7[/tex]

Answer:

b.) 76

Step-by-step explanation:

A triangles angles will always add up to a total of 180°.Since both angles B and C are x, they have the same value. So to find their value, add the choices to 28 twice until you get 180:

[tex]28+76+76=180[/tex]

Or, you can make and equation. 180 on one side of the equation. On the other side, put both x's (2x) plus the value of angle A:

[tex]2x+28=180[/tex]

Solve for x:

[tex]2x+28-28=180-28\\2x=152\\\\\frac{2x}{2}=\frac{152}{2}\\ x=76[/tex]

Finito.

Answer:

i think the answer is 3.3

Step-by-step explanation:

Final answer:

Quita paid $6.60 in sales tax for an $88 jacket.

Explanation:

To calculate the sales tax Quita had to pay for her jacket, we need to follow a simple two-step process.

First, we will calculate the amount of tax by converting the percentage to a decimal and then multiplying it by the price of the jacket.

Since the tax rate is 7.5%, we convert this to a decimal which gives us 0.075.

Then, we multiply this decimal by the price of the jacket:

Amount of sales tax = price × rate of sales tax

$88.00 × 0.075 = $6.60

So, the sales tax on the jacket priced at $88 is $6.60.

Answer:

Step-by-step explanation:

27m2 units

Answer:

B. 81 cubic inches

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I will cut it into a 3 by 3 by 3 cube and a 6 by 3 by 3 rectangular prism.

Solving for the cube:

3*3*3=

9*3=

27 units or in this case inches³

Solving for the rectangular prism:

6*3*3=

18*3=

54 units or in this case inches³

To get the total volume, we need to add the cube and rectangular prism's volume together:

54+27=81 inches³

Our answer is B. 81 cubic inches.

Answer:

(5, -2)

Step-by-step explanation:

(6+4)/2 , (1-5)/×

10/2 , -4/2

5 , -2

Answer:

A

Step-by-step explanation:

To calculate this, we shall be selecting 2 each from a total of 64

This is a combination question and our required answer is 64C2

Mathematically, if we are to select r from n items , the combination can be computed as follows;

nCr = n!/(n-r)!r!

Thus, we have 64C2 as ; 64!(64-2)!2! = 64!/62!2!

= (64 * 63 * 62!)/62!2! = (64 * 63)/2 = 32 * 63 = 2,016 pairings

Answer:

r = 3.64 km

Step-by-step explanation:

Given the following information:

=> The area of the town is:

= Total population / population density per square kilometer

[tex]A = \dfrac{20000}{480}[/tex]

[tex]A = 41.667\ km^2[/tex]

As we know, the formula used to find the area of a circle is:

A = π[tex]r^{2}[/tex]

In this situation, we already knew the area of the town

<=> A = π[tex]r^{2}[/tex]  = 41.776

<=> [tex]r^{2}[/tex] = 41.776  / 3.14

<=> r = 3.64 km

So the radius of the town is 3.64 km

Answer:

3.64

Step-by-step explanation:

Answer:

10 ft

Step-by-step explanation:

area of trapezoid = (B + b)h/2

where B and b are the lengths of the bases, and h is the height.

A = (B + b)h/2

115 = (19 + 4)h/2

230 = 23h

23h = 230

h = 10

Answer: 10 ft

The height of the trapezoid with base lengths of 4 and 19 feet and an area of 115 square feet is 10 feet.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

[tex]\rm{ Area\ of\ trapezoid = \dfrac{1}{2} \times Height \times(Sum\ of\ parallel\ sides)[/tex]

The area of a trapezoid is given as half the product of the sum of the parallel sides and the height of the trapezoid.

The length of the parallel sides of the trapezoid is 4 and 19 feet, while the area of the trapezoid is 115 square feet. Therefore, the height of the trapezoid is,

115 ft² = 0.5 × (4 ft + 19 ft ) × height

115 ft² = 0.5 × 23 ft × height

height = (115 ft²)/ (0.5 × 23 ft)

height = 10 feet

Hence,  the height of the trapezoid is 10 feet.

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Answer:

0.16

Step-by-step explanation:

This probability is the area under the standard normal curve to the right of 82.  Note that 82 is ONE standard deviation above the mean:  75 + 7 = 82.

According to the Empirical Rule, 68% of data lies within one standard deviation of the mean.  In other words, 34% lies between the mean and one standard deviation above the mean.  The remaining area under the standard normal curve is thus (100% - 68%), or 32%.  Half of that is 16%.  

The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.

Alternatively, use a calculator with built-in statistical functions.  In this case the desired result is found by executing the following command:

normcdf(82, 10000, 75, 7).  The desired result is 0.1587, or approximately 0.16.

Answer:

61°

Step-by-step explanation:

∠SPQ is a straight line, so it equals to 180°.

∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.

180° - 119° = 61°, so ∠QPR = 61°

Answer:

61 degrees

Step-by-step explanation:

Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.

Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.

(180-119)

Then we would just get the sum, which in this case, is 61 degrees.

Answer:

[tex]y=18(1.15)^x[/tex]

Step-by-step explanation:

The initial value of the poster =$18

Its value increases by 15% each year.

We can model this using the exponential growth function.

[tex]y(x)=y_0\cdot r^x $ where y_0$ is the initial value and r is the growth factor.[/tex]

Growth Factor, r=1+0.15=1.15

Therefore:

[tex]y(x)=18(1.15)^x[/tex]

After 1 year, when x=1

[tex]y(1)=18(1.15)^1=\$20.70[/tex]

This is true.

Therefore, the model is valid and its value, y after x years will be:

[tex]y=18(1.15)^x[/tex]

Answer:

it is A

Step-by-step explanation:

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Answer: -2 (sqrt:6)/5

Step-by-step explanation:

Answer:

The answer is -(2 sqroot 6)/(5)

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Given Data:

Number of people = 6

Amount of Gold to be shared = 40lbs

Subtract 2/3 from your answer.

Therefore

If six people are to share 40lbs of gold evenly

= 40lbs / 6

Divide through by 2

= 20lbs / 3

= 20lbs / 3 - 2/3

= 18/3

= 6

Each person would get approximately 6lbs of gold

Answer:

1. Each individual gets [tex]6\frac{2}{3}lb[/tex] of gold

2. After subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5

Step-by-step explanation:

Given

Size of Gold = 40 lbs

Number of people = 6

Required

1. Proportion of each individual

2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion

1. Proportion of each individual

To calculate how many each individuals get (in other words, the proportion of each individual), we simply divide the total size of gold by the number of people

Mathematically,

[tex]Proportion = \frac{Total}{People}[/tex]

[tex]Proportion = \frac{40}{6}[/tex]

Reduce fraction to lowest term by dividing numerator and denominator by 2

[tex]Proportion = \frac{20}{3}[/tex]

Convert to mixed fraction

[tex]Proportion = 6\frac{2}{3}[/tex]

Hence each individual gets [tex]6\frac{2}{3}lb[/tex] of gold

2. Subtract [tex]1\frac{2}{3}[/tex] from each proportion

This is represented by

[tex]6\frac{2}{3} - 1\frac{2}{3}[/tex]

Convert both fractions to improper fractions

= [tex]\frac{20}{3} - \frac{5}{3}[/tex]

Find LCM of both fractions

= [tex]\frac{20 - 5}{3}[/tex]

Subtract

= [tex]\frac{15}{3}[/tex]

= 5

Hence, after subtracting by [tex]1\frac{2}{3}[/tex] , the result is 5

Answer:

The concentration is 12M

Step-by-step explanation:

In this question, we are asked to calculate the concentration of the alkali given the information in the question.

To answer this question correctly, the first thing to do is to write the complete chemical equation of the reaction of the acid and the alkali. We identify that LiOH is the alkali and HCl is the acid

LiOH + HCl ———-> LiCl + H2O

we can deduce that 1 mole of the acid used up a mole of the base.

Now, we use the titration formula;

CaVa/Na. = CbVb/Nb

since Na= Nb = 1 i.e number of moles , we can just write the formula to be

CaVa. = CbVb

Where Ca is the concentration of the acid which is 4M

Va is the volume of acid used which is 60mL

Cb is the concentration of the base which is ?

Vb is volume of base which is 20mL

Plugging these values, we have;

4 * 60 = Cb * 20

Cb = 240/20

Cb = 12M

The concentration of the base is thus 12M

Answer:

r = 0.9 in.

Step-by-step explanation:

the volume equation of a cone is πr^2h/3 in this case you have the volume and the height measurements but youre missing the radius, so you have to divide the volume by the rest of the equation and backtrack and when you do, you get a radius value of 0.9

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Answer:

2.44

Step-by-step explanation:

Given: x³ + 2x² - 5ax - 7      and  x³ + ax² - 12x + 6

Also, R1 + R2 = 6

in order to find the value of a:

Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6

Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).

Then,

R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6

R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10

Now,

R1 + R2 = 6

5a - 6 + 4a - 10 = 6

9a = 22

a=2.44

Therefore, Value of a is 2.44

Answer:

4 sqrt(5)

8.94427191

Step-by-step explanation:

We want to find the length  ( or distance) between the two points

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

  = sqrt( (8-0)^2 + (1 - -3)^2)

  = sqrt( (8)^2 + (4^2)

  = sqrt( 64+16)

 sqrt( 80)

sqrt(16) sqrt(5)

4 sqrt(5)

8.94427191

Answer:

4sqrt(5)

Step-by-step explanation:

Length² = (-3-1)² + (0-8)²

Length² = 16 + 64

Length² = 80

Length = 4sqrt(5)

sqrt: square root

Final answer:

The equivalent expression to 16a + 24b is 8(2a + 3b) by factoring out the greatest common factor of 8 from both terms.

Explanation:

The expression equivalent to 16a + 24b is 8(2a + 3b). To find this, we can factor out the greatest common factor from the terms in the original expression. Both 16a and 24b have a common factor of 8, which when factored out leaves us with 2a and 3b, respectively, yielding the expression 8(2a + 3b).

Answer:

No

Step-by-step explanation:

All whole numbers, positive, negative, and 0 are integers.

Answer:

Step-by-step explanation:

The fidelity investment mutual funds is $10.92 per share.

The fund charges 2.5%.

So, if 2.5% is charged,

Then, 2.5% of the share is

2.5% of $10.92 = 2.5 / 100 × $10.92

2.5% of $10.92 = $0.273

Then, total offer price is 0.273 + 10.92

Therefore, total offer is $11.193

Final answer:

The offer price of the real estate income mutual fund from Fidelity Investments is $11.2135 per share.

Explanation:

The offer price of the real estate income mutual fund from Fidelity Investments can be calculated by adding the load to the selling price per share. In this case, the load is 2.5% of $10.94 per share. To find the load amount, multiply 2.5% by $10.94, which is equal to $0.2735. Then, add the load amount to the selling price per share: $10.94 + $0.2735 = $11.2135.

Answer:

80 units by 16 units

Step-by-step explanation:

4 units : 5 feet

X units : 20 feet

Y units: 100 feet

X/20 = 4/5

X = 20 × 4/5

X = 16

Y/100 = 4/5

Y = 100 × 4/5

Y = 80

Answer:

The distance between opposite corners of the living room is 30ft

Step-by-step explanation:

This can be thought of as a right triangle and we want to know its hypotenuse

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 18ft

b = leg 2 = 24ft

h² = a² + b²

we replace the known values

h² = (18ft)² + (24ft)²

h² = 324ft² + 576ft²

h² = 900ft²

h = √(900ft²)

h = 30ft

The hypotenuse is 30ft

Answer:

The equation is c=25h+30 and the answer is 205

Step-by-step explanation:

Plug in 7 for h.

Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

Total estate value = $2,186,000

Estate tax = 40 %

Find:

Heir's tax liability = ?

Computation:

Total taxable estate = Total estate value - Estate Exemption

Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption  is 11.4 million.

We know that Estate Exemption  is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

Answer:

1 1/3

Step-by-step explanation:

Solve. Change the division sign into a multiplication, and flip the second fraction:

(8/15)/(2/5) = (8/15) x (5/2)

Multiply across:

(8 x 5)/(15 x 2) = (40)/(30)

Simplify. Divide common factors:

(40/30)/(10/10) = 4/3

4/3 or 1 1/3 is your answer.

~

Answer:

1⅓

Step-by-step explanation:

8/15 ÷ 2/5

8/15 × 5/2

(8×5)/(15×2)

4/3

1⅓

Answer:

A. The surface area of the cheese is 24·π in.² or 75.40 in.²

B. The surface area of the remaining cheese after the wedge is removed is about 72 in.²

2. The surface area decreased

Step-by-step explanation:

From the figure attached to a similar question, we have;

Radius, r of cheese = 3 in.

Height, h of the cheese = 1 in.

A. The surface area of the cheese is equal to the area of two circles, one on top and the other underneath added to the surface area of the sides which is equivalent to the surface area of a cylinder given by the relation

Surface area of the cheese = 2×π×r² + 2×π×r×h

∴ Surface area of the cheese = 2×π×3² + 2×π×3×1 = 24·π in.²

Surface area of the cheese = 24·π = 75.398 ≈ 75.40 in.² to the nearest 10th

B. The surface area of the remaining cheese after the wedge is removed is found by first subtracting the cut wedge from the total surface area as follow

Outer surface area of cut wedge = 24·π÷8 = 3·π

New outer surface area = Total surface area - Removed outer surface area

∴ New outer surface area = 24·π - 3·π = 21·π

New total surface area = New outer surface area + Area of newly exposed segment

Area of newly exposed segment = 3 × 1 × 2 = 6 in.²

∴ New total surface area = (21·π + 6) in.² = 71.9734 in.² ≈ 72 in.²

The surface area of the remaining cheese after the wedge is removed is about 72 in.²

2. The surface area decreased.

Answer:

A. The surface area of the cheese is 24·π in.² or 75.4 in.² B. The surface area of the remaining cheese after the wedge is removed is about 72 in.² 2. The surface area decreased

Step-by-step explanation:

It's 75.4 instead of 75.40, thank me please.