A bookshelf can hold 16 pounds. each book weighs 8 ounces. how many books can the shelf hold?

Answer:

$ 2904.59

Step-by-step explanation:

For CONTINUOUS compounding    FV = PV e^it

FV = future value    PV = present value   i = decimal interest   t = years

FV = 2500 e^(.05 * 3) = 2904.59

The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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Answer:

(x ^ 16y ^ 22)

Step-by-step explanation:

For this case we have the following expression:

  (x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2

Rewriting and for power properties we have:

  (x ^ 18y ^ 24) / x ^ 2y ^ 2

  (x ^ (18-2) y ^ (24-2))

  (x ^ 16y ^ 22)

Answer:

C. 18

Step-by-step explanation:

let the length is [tex]x[/tex] [tex]m[/tex]

    So:       [tex]8x=144[/tex]

                 [tex]So:x=18[/tex]

The length of the rectangle with an equal area to the square is 18 m. The correct option is C.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The square is defined as a quadrilateral having all the sides to be equal and all the angles to be congruent.

Given that one side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters.

The area of the square is,

Area = 12² = 144 square meters

The length of the rectangle is calculated as,

Area = 8x

144 = 8x

x= 144 / 8

x = 18 meters

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[tex]2.ans \: 3 \: \div \frac{1}{8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 \: \div 0.125 \\ \\ = 0.041[/tex]

[tex]3.ans \: 5 \: \div \frac{1}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 \: \div 0.33 \\ \\ \: \: \: \: \: \: \: \: \: 15.15[/tex]

The option that is correct about the central limit theorem is D (II only).

According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.

As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).

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Step-by-step explanation:

ANSWER MY RECENT question

Answer: 12 divided by 3 equals 4

Step-by-step explanation: this should answer your question if not, then please feel free to message me.

According to the given information, the difference between 12 and 3 is  9 and the quotient of 12 and 3 is 4. Hence, the Product of the difference and the quotient is 36.

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

To find the product and quotient you mentioned,

Break it down step by step.

First, let's find the difference between 12 and 3.

The difference is the result of subtracting one number from another.  So,

12 - 3 = 9.

Next, let's find the quotient of 12 and 3.

The quotient is the result of dividing one number by another. So,

12 ÷ 3 = 4.

Finally, to get the product of the difference and the quotient,

We multiply them together.

In this case,

9x4 = 36.

Hence, the product of the difference between 12 and 3 and the quotient of 12 and 3 is 36.

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Answer:  slope = 1/6

Reason:

The given equation is in slope-intercept form y = mx+b

m = 1/6 = slope

b = 3/2 = y intercept

Answer:

=6.186

explanation;

first divide then u will get this

6+1×0.1+8×0.01+6×0.001

second multiply then you will get this

6+0.1+0.08+0.006

third you will get the answer which is

=6.186

Answer:

Perimeter = 12.5 cm

Step-by-step explanation:

    d = 7 cm

    [tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]

                                                       [tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]

   Perimeter = radius + radius + circumference of quarter circle

                     = diameter + circumference of the quarter circle.

                      = 7  + 5.5

                      = 12.5 cm

Answer:

24.997

Step-by-step explanation:

its actually really hard for me to explain im sorry i only know the answer-

Step-by-step explanation:

Diameter =30

radius=30/2=15

area =πr²

=π×15²

= π×(15)(15)

=225π cm² or 706.95cm²

circumference C=πD

C=3.142×30cm

C=30πcm or 94.26cm

Answer:

Map Scale Equivalents

Map Scale Miles to Inches

1:100,000 1.6 miles = 1 inch

1:126,700 2 miles = 1 inch

1:150,000 2.4 miles = 1 inch

1:200,000 3 miles = 1 inch

Step-by-step explanation:

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

[tex]\rm d = 6sin(\dfrac{\pi}{4}t)-6[/tex]

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

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Answer:

I think your answer should be 26

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

13/3 ×6/1

Applying the fractions formula for multiplication,

13/3 x 6/1

=78/3

Simplifying 78/3, the answer is

=26

I'm not positive but this is how I solved the problem:

7 hours 30 minutes

Sure hope this helps you :D

If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.

An average is basically total sum divided by number whose sum is found. Average= sum/n.

Josephine takes 5 hours to  correct her students test papers.

Josephine and assistant takes 3 hours to correct papers.

Let the test paper contains 100 questions.

In 1 hour Josephine checks 100/5 =20 questions per hour.

In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.

In 1 hour assistant checks 33.33-20=13.33 questions.

Time taken by assistant to try to to work alone=100/13.33=7.5 hours.

Hence to try to to the work alone the assistant takes 7.5 hours.

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Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.

First, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or balance after deducting vanessa’s down payment = ?

P = Monthly payment = $1,595.85

r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333

n = number of months = 30 * 12 = 360

Substitute the values into equation (1), we have:

PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55

Now, the amount of vanessa’s down payment can be calculated as follows:

Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45

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Answer:

18 square units

Step-by-step explanation:

The top line has 5 shaded squares

The next line has 5 shaded squares

The third line from the top has 2 squares

The fourth line from the top has 2 squares

The fifth line from the top has 2 squares

The sixth line from the top has 2 squares

Add them together

5+5+2+2+2+2 = 18

18 square units

Answer:

x = −3.737034184 or 1.070367517

Step-by-step explanation:

This is my working for this question

−3x^2−(8x−12)=8x−12−(8x−12)

−3x^2−8x+12=0 // first make it =0

Now we know a=-3, b=-8, c=12

then use quadratic formula for answer

x = −3.737034184 or 1.070367517

Answer:

[tex]y = -\frac{1}{3}x[/tex]

Step-by-step explanation:

The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.

In this case, I will use (-3 , 1) & (0 , 0)

Use the following equation. m = slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}[/tex]

Your answer will be:

[tex]y = -\frac{1}{3}x[/tex]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

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[tex] x = \frac{b}{2a} [/tex]

for example let's say we have 2x²+4x+3

Step-by-step explanation:

4 is the co-efficient of x therefore you substitute 4 in terms of b. 2 is the co-efficient of x² therefore you substitute 2 in terms of a.

[tex] x = \frac{4}{2(2)} [/tex]you will find your x value then you will substitute x from the original formula to get your y value.

The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]

Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

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Answer: 4,5,6,7

Step-by-step explanation:

y=-2/2+5      y=0/2+5     y=2/2+5         y=4/2+5

y=-1+5          y=0+5          y=1+5              y=2+5

y=4               y=5              y=6                  y=7

(-2,4)            (0,5)             (2,6)                (4,7)

Answer:

1) 4*(-2)-3=-11

2) 5(0+1)=5*1=5

3) 3*-9+4=-23

4)(12-1)6=66

5) -7*(-1)=7

Step-by-step explanation:

The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck will be,

Probability = (13/52) × (4/52) = 0.01923

Hence, The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.

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Step-by-step explanation:

[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]

Answer:

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