Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

The given fraction : [tex]\dfrac{2}{3}[/tex]

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.

Answer:

f(x) = -7x² - x + 2

Step-by-step explanation:

Quadratic functions are set up in the form ax² + bx + c. f(x) = 0x² + 3x -3 is also set up in this format but 0x² would simplify to 0 which means the equation is actually f(x) = 3x-3 and does not fit in the quadratic function format. The other equations are also not set up in ax² + bx + c.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

A polynomial with degree 2 is called a quadratic equation.

The quadratic equation is in the form of ax² + bx + c.

The equation that represents a quadratic equation is

f(x) = -7x² - x + 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1, and c = 2

Option B is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

The quadratic equation is in the form of ax² + bx + c.

Now,

f(x) = 2x³ + 2x² - 4

This is not a quadratic equation since it has a degree of 3.

f(x) = -7x² - x + 2

This is a quadratic equation since its degree is 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1 and c = 2

f(x) = -3x + 2

This is not a quadratic equation.

Its degree is 1.

f(x) = 0x² + 3x - 3

f(x) = 3x - 3

This is not a quadratic equation.

Thus,

The equation that represents a quadratic equation is

f(x) = -7x² - x + 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1, and c = 2

Option B is the correct answer.

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The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

Answer:

384pi inches   hop it halp!!!

Step-by-step explanation:

Answer:

5 1/3 or 5.33333333333333333333333333333333333333333333333333333

Step-by-step explanation:

to find the scale factor, you must divide the two equal sides.

[tex]\frac{6}{8}[/tex]

which equals

[tex]\frac{3}{4}[/tex] or 0.75

Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75

[tex]\frac{4}{0.75}[/tex]

Which equals

5.333 repeating or 5 1/3

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

Answer:

[tex]\huge\boxed{(2.5,\ -1)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}6x+y=14\\-2x-y=-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad4x=10\qquad\text{divide both sides by 4}\\.\qquad\dfrac{4x}{4}=\dfrac{10}{4}\\.\qquad\boxed{x=2.5}\\\\\text{put it to the first equation}\\6(2.5)+y=14\\15+y=14\qquad\text{substract 15 from both sides}\\15-15+y=14-15\\\boxed{y=-1}[/tex]

Answer:

x = 5/2, y = -1

Step-by-step explanation:

6x + y = 14

-2x - y = -4

Add the two equations together to eliminate y

6x + y = 14

-2x - y = -4

-----------------------

4x = 10

Divide by 4

4x/4 = 10/4

x = 5/2

Now solve for y

-2x -y = -4

-2( 5/2) -y = -4

-5 -y = -4

Add 5 to each side

-5+5 -y =-4+5

-y = 1

Divide by -1

y = 1

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Answer:

i believe a=105, b=29, and c=45

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

Answer:

78

Step-by-step explanation:

Let x be the score on the next test

We are averaging 6 tests and want an average of 75

( 82+91+38+78+83+x) /6 = 75

Multiply each side by 6

( 82+91+38+78+83+x) = 75*6

( 82+91+38+78+83+x)  =450

Combine like terms

x+372 = 450

Subtract 372 from each side

x+372-372 = 450-372

x =78

Answer:

60 pieces

Step-by-step explanation:

The rate of pieces to packages is 15/1.

Multiply this rate by 4 to get the answer.

15 * 4 = 60

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▹ Answer

60 pieces of gum

▹ Step-by-Step Explanation

[tex]\left[\begin{array}{cccc}1&2&3&4\\15&30&45&60\\\end{array}\right][/tex]

The pattern is multiply the number of packs by 15 therefore, the answer will be 60 pieces of gum.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

this question is not clear please send clear question

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

Answer:

Options (1), (2) and (5)

Step-by-step explanation:

Outcomes from the quadratic function given in the graph,

1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.

2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000

3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.

Graph reveals that the store is in loss when number of clerks is zero and 8.

Summarizing these outcomes from the graph,

Options (1), (2), (5) are the correct options.

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.

Which statements are true based on the model?

Answer:

The resistance decreases.

Step-by-step explanation:

The resistance decreases as the conductor is made thicker.

First of all, resistance is like some sort of an obstacle right?

So if the conductor is made thicker it will be easy for the electrons to pass through.

And if the conductor is made thinner it won't be easy for the electrons to pass through. Which makes the resistance increase as there will be collision between the electrons.

Hope this helped ;) ❤❤❤

Answer:

1. 24 x

Step-by-step explanation:

Area = (6x +1)(6x-1)

which means

length = 6x+1

width = 6x -1

as perimeter = 2 (length + width)

                     = 2 (6x +1+6x -1)

                     = 2(12x)

                    =24x

Divide the two numbers to find the ratio:

400 / 1200 = 1/3

The ratio is 1:3

Answer:

B

Step-by-step explanation:

Gear A has 400 teeth.

Gear B has 1200 teeth.

Write as a ratio of gear A to gear B.

400:1200

Simplify the ratio.

4:12

1:3

Answer:

Step-by-step explanation:

[tex]area=\frac{\pi r^2 \times\theta}{360} =\frac{\pi 6^2 \times 60}{360} =6 \pi \approx 18.85~ cm^2[/tex]

Answer:  D

Step-by-step explanation:

The solution of the two equations does not exist since they are parallel.

Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.

Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.

Given linear equation of a line in slope intercept form as,

y = 1/2 x + 1

Here slope = 1/2 and y intercept = 1

y intercept is the y value of a point where it touches the y axis.

A second linear equation is to be found by using the values in the table.

Taking two points (2, 7) and (0, 6).

Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2

Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.

y intercept = 6

Equation of the second line is,

y = 1/2 x + 6

Since the slopes of two lines are equal, they are parallel.

There is no solution for two parallel lines.

Hence there is no solution for the linear equations given.

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as the exterior angle is known

sum of that angle and f angle = 180

142 + f = 180

f = 180 - 142

f = 38

Answer:

38

Step-by-step explanation:

Hope this helps you :)

Answer:

Step-by-step explanation:

According to recipe, Amanda should cook for total of 1/2 hour which is 30 minutes. If she has been cooking for 25 minutes, the remaining time needed for the turkey to cook will be the difference between the total time and the time she has already spent in cooking.

[tex]minutes\ left = 30 minutes - 25 minutes\\\\munites\ left = 5 minutes[/tex]

Hence, the turkey needs to cook for 5 more minutes

Answer:

Here,

The circle is cut into 6 equal parts.

It means all the piece of circle is divided forming 60°.

And according to the question we have shade its 1/3part.

means 1/3×360°

=120° so, we should shade 2 pieces of circle.

Hope it helps...

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

Answer:

(4,7.5)

Step-by-step explanation:

Reflect (-4,7.5) at the y-axis

Answer:

C. . II and III only

Step-by-step explanation:

Given:

I. V=s^3

II.V=πr^2h

III. V=Bh

From the above

I. V varies directly as cube of s

II. V varies jointly as square of r and h where π is the constant of proportionality.

III. V varies jointly as B and h

Therefore, the volume formula which shows a joint variation are

II.V=πr^2h and III. V=Bh

Answer is C. II and III only