Let R be the region in the first quadrant bounded by x2 − y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis?

Answer:

150

Step-by-step explanation:

the line is straight hence gradient is constant

change in y/change in x=gradient

(45-0)/(65-50)

G=3

lunches is x axis

3=(y-45)/(100-65)

(3x35)=y-45

105=y-45

105+45=y

y=150

Answer:

n + m = 8.27; 3n + 5m = 20.22

Step-by-step explanation:

Let

Cost of the novel = n

Cost of the magazine = m

The cost for a novel and a magazine is $8.27.

n + m = 8.27 (1)

The cost for 3 novels and 5 magazines is $20.22

3n + 5m = 20.22 (2)

The pairs of equation to determine n, cost of the novel and m, cost of the magazine is

n + m = 8.27; 3n + 5m = 20.22

Combining (1) and (2)

Answer:

6n + 3 - 3 = 9 - 3

6n = 6

n = 1

Step-by-step explanation:

Answer:

step one: subtract 3 on both sides 6n=6

then divide 6 on both sides n=1

Answer:

Step-by-step explanation:

Let the total amount be y

and let the number of hours be x

given that the fixed charge is $10

and the charge per hour is $30

also given is that the tutor will work for a maximum of 4 hours

therefore the total amount the tutor will earn is modelled as

y=10+30x

for 4 hours the tutor will earn

y=10+30*4

y=10+120

y=130

therefore the domain lie between 40 and 130

Answer:

10+12.50h=5+15h

We move all terms to the left:

10+12.50h-(5+15h)=0

We add all the numbers together, and all the variables

12.50h-(15h+5)+10=0

We get rid of parentheses

12.50h-15h-5+10=0

We add all the numbers together, and all the variables

-2.5h+5=0

We move all terms containing h to the left, all other terms to the right

-2.5h=-5

h=-5/-2.5

h=+2

Step-by-step explanation:

please heart and give brainliest

Answer: 33.6 degrees

Step-by-step explanation:

Answer:

5184

Step-by-step explanation:

Answer:

40 women then? whats the question?

Step-by-step explanation:

theres no question just info

Answer:

67

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

Given

a(c + b) = d ← distribute parenthesis on left side

ac + ab = d ( subtract ab from both sides )

ac = d - ab ( isolate c by dividing both sides by a )

c = [tex]\frac{d-ab}{a}[/tex]

Answer:

j ≤ 25

Step-by-step explanation:

Given that :

Total Planned amount on shopping should not be more Than $100

Items purchased : a pair of Jean and 3 shirts

Cost of t-shirt = $25 each

Cost of pair of Jean = j

Amount spent on pair of jeans=?

Total amount spent on shirt = $25 * 3 = $75

Amount left : $100 - $75 = ≤ 25

Hence amount spent on pair of jeans :

j ≤ 25

pint, quart, then gallon

least------------> greatest

Step-by-step explanation:

c = a²

4(14+c)

4(14 + a²)

not sure though^^

Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

∠F = 90° -(36°/2) = 72°

__

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

Answer:

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

Answer:

The answer should be 1,1125,000 because 10,000x 15 x7.5= 1,1125,000.

The approximate length of line segment XY is 20.8 units

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; https://brainly.com/question/661229

Answer:

not that hard just think about it really hard

Step-by-step explanation:

Answer:

26880 i think

Step-by-step explanation:

I think it is i hope it helps

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

Answer:

16

Step-by-step explanation:

9x + 4y

Let x =4 and y = -5

9(4)+ 4(-5)

36 -20

16

Answer:

C. The quotient of two times some number and four

Step-by-step explanation:

Given the expression 2x÷4

The x be the unknown number.

2x can be written as:

Product of some number and 2 OR two times an unknown number

2x÷4 will then be written as:

The quotient of two times a number and 4

The correct option to describe the equation is "The quotient of two times some number and four"

Given that,

The diameter of a tennis ball, d = 2.7 inches

Radius, r = 1.35 inches

The dimensions of the storage shed is 14 feet wide, 15 feet long, and 10 feet high.

Volume of the shed is, V = lbh

[tex]V=14\times 15\times 10\\\\V=2100\ \text{feet}^3[/tex]

We can convert radius from inches to feet :

1 foot = 12 inches

Radius, r = 0.1125 feet

Let there are x number of tennis balls that can fit in the shed. So,

[tex]x\times V_b=V_s\\\\\text{Where}\ V_b\ \text{and}\ V_s\ \text{volume of ball and shed}\\\\x=\dfrac{V_s}{\dfrac{4}{3}\pi r^3}\\\\x=\dfrac{2100}{\dfrac{4}{3}\pi \times (0.1125)^3}[/tex]

x = 352105.75 balls

or

x = 352106 balls

Hence, 352106 balls can fit in the storage shed.

Answer:

5 + 4 + 3 = 12

12 ÷ 6 = 2

he puts 2 cups in each glass

When we're solving equations, our prime goal is to isolate the variable. We can do this by using inverse operations to combine like terms.

Examples:

[tex]\sqrt[3]{5x-4}=\sqrt[3]{7x+8}[/tex]

⇒ Here, both sides are being taken to the square root of 3. To remove this, we can raise both sides to the power of 3:

[tex](\sqrt[3]{5x-4})^3=(\sqrt[3]{7x+8})^3\\5x-4=7x+8[/tex]

⇒ Let's move our x variable to the right side of the equal sign and the numbers to the left side. Start by subtracting 5x from both sides:

[tex](\sqrt[3]{5x-4})^3-5x=(\sqrt[3]{7x+8})^3\\5x-4=7x+8-5x\\-4=2x+8[/tex]

⇒ Now, subtract 8 from both sides:

[tex]-4-8=2x+8-8\\-12=2x[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]\dfrac{-12}{2}=\dfrac{2x}{2}\\\\-6=x[/tex]

x = -6

Answer:

A

Step-by-step explanation:

EDGE 2019

Answer:

3 hours.

Step-by-step explanation:

135/45=3

Number of questions Colin thought wrong, N = 14.

So, his score by his prediction will be, S = 50-14 = 36.

Now,

Number of questions which are actually wrong, n = 14 -5 = 9.

His actual score, s = 50 - 9 = 41.

Percentage accuracy is given by :

[tex]\%=\dfrac{Actual-Real}{Real }\times 100\\\\\%=\dfrac{41-36}{41}\times 100\\\\\%=12.195\%[/tex]

Hence, this is the required solution.

Answer:

Slope is not defined.

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on a line then the slope of the line is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Now find the slope of the side of a square such that two adjacent vertices of a square are A(2, 3) and B(2, 8).

Take [tex](x_1,y_1)=(2,3)\,,\,(x_2,y_2)=(2,8)[/tex]

Slope of the line [tex]=\frac{8-3}{2-2}=\frac{5}{0}[/tex]

Here, [tex]\frac{5}{0}[/tex] is not defined.

So, slope is not defined.

Answer:

TRUST ME I PUT UNDEFINED AND THATS WRONG BEATCHES

the answer is zero and undefined. because the given is undefined, and to form a square, the 4 angles must be equal to 90, and a perpendicular line to to a line that has an undefined slope is zero, so 2 edges have a zero slope and 2 edges have an undefined sloped. PERIODT

Step-by-step explanation:

Answer:

560÷c = p (p is price of one btw)

Step-by-step explanation: