Plsssss helpppppoooooooooopppppppppppppppppppppp

There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

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4000 Bahrain Dinar as Pounds.

let the unknown be "x"

we'll have to do cross multiplication.

[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]

so now,

[tex]x = 4000 \times 2.13[/tex]

[tex]\large\boxed{\sf{£ 8520}}[/tex]

Therefore, 4000 Bahrain Dinar is £ 8520

Answer to your question is:

£ 8520

hope this helps!

Answer: x times (x-4)=45

Step-by-step explanation:

First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Answer:

243 in²

Step-by-step explanation:

Diameter = 18 in

Radius ( r ) = Diameter / 2 = 18 / 2

r = 9 in

π = 3

To find : Area of circle ( A )

Formula : -

A = πr²

A = 3 x 9²

   = 3 x 9 x 9

A = 243 in²

She should fart 10 times

I tried my best!!!! Hope this helps :D

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

Answer:

You would have 18 quarters and 35 dimes

Step-by-step explanation:

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Answer:

the answer is 2000 so yea

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.

Answer:

0.182

Step-by-step explanation:

2 / 11 = 0.181818...repeating

0.1818 round up since the 4th number 8 > 5

Answer:

0.182

Step-by-step explanation:

:)

Answer:

sooo i  think, it  is

Step-by-step explanation:    it screen shot cause i worked it out on my computer !

Answer:

Perimeter = 56 m

Area = __ m^2

Step-by-step explanation:

Perimeter = ___ m

Area = __ m^2

To find Perimeter, you have to add up all the sides of the shape,

5 + 5 + 5 + 11 + 7 + 7 + 16

= 56 m

Perimeter = 56 m

To find area, you have to multiply length times width,

5 × 5 = 25

7 × 16 = 112

112 + 25 = 137

Area = 137 m^2

Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.

Answer:

This is prime.

No factors.

Step-by-step explanation:

Answer:

1,695,675

Step-by-step explanation:

Me using the calculator <3

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

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Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

180 - 142 = 38

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

38 ÷ 2 = 19

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

Answer: m∠S = 19°

Step-by-step explanation:

    We know the angles of a triangle add up to 180° (and if you don't, you do now)

-> We are given one angle, 142°

-> We are given the fact this is an isosceles triangle, or one with two congruent sides

    [] This means the other two angles are congruent

-> Taking this information, we will set up an equation to solve for x

180° = 142° + 2x°

38° = 2x

19° = x

x = 19°

x = m∠S, so m∠S = 19°

          m∠S = 19°

It looks like the given function is

[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]

The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]

To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]

To the right of x = 0, we have x > 0 and f(x) = x² + 7 :

[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]

So f(x) is continuous at x = 0, and hence continuous for all real numbers.

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

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

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²