What is the volume of the cone in the picture ifS=5 and R= 3? (V=
R'H
A)
97t
B)
127t
157t
D
367

Answer:

2a - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(a - 3) + (a - 5)

Step 2: Simplify

HCF is 4

Step-by-step explanation:

factors of 52 are: 2x2x13

factors of 48 are:2x2x2x2x3

common factors of 52%48 are: 2

hence, = 2x2

=4

hope it helps

Answer:

x=1, y= -1

Step-by-step explanation:

x = 2y +3

3x -y = 4

Use the substitution method because we have x= something in terms of y

3 (2y+3) -y = 4

6y + 9 -y = 4 subtract 9 from both sides

6y -y = 4-9 combine like terms

5y = -5 divide both sides by 5

y = -1

x= 2*(-1) +3 = -2+3 = 1

Answer:45

Step-by-step explanation:

9514 1404 393

Answer:

  number of correct answers by the total number of questions

Step-by-step explanation:

The first step in the process is to express the score as a fraction. That has already been done here, but apparently, we're to say what that fraction is.

The required fraction that must be found as a first step is found by dividing the ...

  number of correct answers by the total number of questions

Answer:

 number of correct answers by the total number of questions

Step-by-step explanation:

source : m4thw4y

Answer:

We get the value of Principal amount i.e initial investment = $61640

Step-by-step explanation:

Interest rate r = 3.59% or 0.0359

Compounded quarterly n = 4

Future Amount A = 117,300

Time t = 18 years

We need to find initial investment i,e Principal Amount P

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding P

[tex]A=P(1+\frac{r}{n})^{nt}\\117300=P(1+\frac{0.0359}{4})^{4*18} \\117300=P(1+0.008975)^{72}\\117300=P(1.008975)^{72}\\117300=P(1.903)\\P=\frac{117300}{1.903}\\P=61640[/tex]

So, We get the value of Principal amount i.e initial investment = $61640

Answer:

57%

Step-by-step explanation:

So since the total is 10730 we will do

100/10730 = 0.00931966449

then that times what the amount of uni students that currently receive aid

0.00931966449*6101 = 56.8592730662

round to the nearest percent

56.8592730662 ---> 57%

its most likely 150 because 3 times 5 then 15 times 10 if thts wrong sorry

Answer:

$186.30

Step-by-step explanation:

87 + 75 = 162

162 + 15% = 186.3

Answer: your new total is $162.65

Step-by-step explanation:

it added 87.50 + 75.00 + 15% and got $162.65

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

Step 2: Synthetic Division

See Attachment.

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

Please excuse the bad handwriting. Hope this helped!

Answer:

The average rate of change

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          [tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

The       [tex]\frac{dh}{d t} = 70 (1) - 16(2t) =0[/tex]

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     [tex]t = \frac{70}{32} = \frac{35}{16}[/tex]

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

[tex]\frac{dh}{d t} = 70 (1) - 16(2t)[/tex]

At   t = 1

[tex]\frac{dh}{d t} = 70 (1) - 16(2t) = 38[/tex]

At t = 3



Hello!

[tex]\large\boxed{a = 0, -3, 7}[/tex]

a³ = 4a² + 21a

Move all "a" to one side:

0 = -a³ + 4a² + 21a

Factor out "-a" from the equation:

0 = -a(a² - 4a - 21)

Solve for a by factoring:

0 = -a(a - 7)(a + 3)

Solve for the roots by setting each factor equal to 0:

-a = 0

a = 0

a - 7 = 0

a = 7

a + 3 = 0

a = -3

Solutions: a = 0, -3, 7

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{100-x}[/tex]

plug in x = 5 in the function

[tex]f\left(5\right)=\sqrt{100-5}[/tex]

[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]

[tex]f(5) = 9.75[/tex]

plug in x = 10 in the function

[tex]f\left(10\right)=\sqrt{100-10}[/tex]

[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]

[tex]\:f\left(10\right)=9.49[/tex]

plug in x = 15 in the function

[tex]f\left(10\right)=\sqrt{100-15}[/tex]

[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]

[tex]\:\:f\left(15\right)=9.22[/tex]

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.

Answer:

224

Step-by-step explanation:

32 times 7

Step-by-step explanation:

[tex] \sqrt{3 - 3} + \sqrt{9 - - 2} [/tex]

[tex] \sqrt{0} + \sqrt{11} [/tex]

[tex] \sqrt{11} [/tex]

Thats the answer of distance

Answer:

20 inch

Step-by-step explanation:

500 divided by 25 is 20.

Step-by-step explanation:

A 1 / A 2 = B2 / B1

4 / A 2 = - 72 / 9

A 2 = - I / 2

Answer:

-1/2

Step-by-step explanation:

i got the same question and found the answer

Answer:

An hour and 30 minutes.

Step-by-step explanation:

In one hour, they travel 8 kilometers. They then have 4 kilometers left. 4 is half. of 8, so I would possibly take half the time it would to travel 8, making it 30 minutes for the other 4 kilometers.

Answer:

The  total cost of the ink supplies can be represented  in two different ways, as follows:

a. 3p (1+r)

b. p * (1+ r) * 3

Step-by-step explanation:

a) Data and Calculations:

Number of printer cartridges bought = 3

Sales tax rate = 7%

The total cost can be represented as:

Total cost = 3p (1+r)

where p = the price of a printer cartridge

and r = the sales tax rate

Alternatively, the total cost can be represented as:

Total cost = p * (1+ r) * 3

b) Whichever expression is used, the total cost derived will remain the same.  The first expression includes the sales tax in the total cost, while the second expression includes the sales tax in the cost of the unit before arriving at the total cost.

Answer:

3c+3c(0.07)

Step-by-step explanation:

Answer:

787

Step-by-step explanation:

i took the test

Answer:

x=12

Step-by-step explanation:

Lines A and B are parallel, with a transversal passing through them.

The properties of two parallel lines and a transversal tells us that angles 5x and 4x+12 must be equal, because they are a pair of alternate exterior angles.

To solve for x, we do 5x=4x+12

Subtract 4x on both sides

x=12

Answer: 12

Step-by-step explanation:

Answer:

distributive property :)

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard:

190 square feet.

Step-by-step explanation:

In this problem, we assume that the courtyard measures 950 square feet.

So, 20% of 950 is

20 \%(950)=\frac{20}{100}950=\frac{1}{5}950= 190ft^{2}20%(950)=

100

20

950=

5

1

950=190ft

2

That is, the 20% of the courtyard is 190 square feet.

Therefore, the complete statement is

Since 20% of 950 is 190 , students can use 190 square feet of the courtyard

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

Answer:

7.5

Step-by-step explanation:

DeltaMath

Answer:

y = - 3x  -11

Step-by-step explanation:

(x₁ , y₁) = (-2 , -5)   & m = -3

y - y₁ = m (x - x₁)

y - [-5] = (-3)(x -[-2])

y + 5   = (-3)(x + 2)

y + 5  = -3x - 6

      y = -3x - 6 - 5

      y = - 3x  -11