f(x) = 3x – 5
g(x) = –6x2 + 6x + 2
Find: f(x) · g(x)

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

Answer:

m < 3 ?

Step-by-step explanation:

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.

There will be 40 percent decrease in the price of the car after two years.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The initial price of car = $14,000

After two year, the price of car = $8,400

The decrease in the price of the car = 14,000- 8,400

                                                             = 5600

The decrease in percentage = 5600×100/14000

                                                = 560/14

                                                 = 40%

The percent decrease in the value of the car after two year is 40%.

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Answer:ABCDEFGHIJKLMNOPQRSTUVWXYZ

Step-by-step explanation:

Answer:

AB = 184.4 yards

Step-by-step explanation:

The description here gives a triangle with two angles and a side. Let the distance between A and B be represented by d. Thus applying the Sine rule, we have;

[tex]\frac{a}{Sin A}[/tex] = [tex]\frac{b}{Sin B}[/tex]

[tex]\frac{200}{Sin 87}[/tex] = [tex]\frac{d}{Sin 67}[/tex]

d = [tex]\frac{200*Sin 67}{Sin 87}[/tex]

  = [tex]\frac{200*0.9205}{0.99863}[/tex]

d = 184.3526

Thus, the distance between points A and B is 184.4 yards

Answer:184.4

Step-by-step explanation:

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the mean absolute deviation is calculated as:

[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

Answer:

4.

Step-by-step explanation:

5+4+3+2+1 does not equal 10, from what i've learned. :)

Answer:

Distributive property

Step-by-step explanation:

In order to form a more perfect union.

Answer:

B. .1541

Step-by-step explanation:

Not sure why but the teacher answer key had this listed, came on here to see why

Answer:

2.25 and 225%

Step-by-step explanation:

Answer:

6 mile per hour

Step-by-step explanation:

Tina runs 3/2 miles in an hour and it is her walking rate.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Tina walks 1/2 mile in each 1/3 hour.

So, Tina's walking rate is the distance she runs in an hour which is,

In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.

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Step-by-step explanation:

the term is 10x +19

cosf$icients is 10 and

constant is 19

Answer:

dimensions are 2 ft, 24ft

Step-by-step explanation:

width = w

length = 12w

Area of rectangle = 48 square feet

length * width = 48

12w * w = 48

12w² = 48           {Divide both side by 12}

w² = 48/12

w² = 4 =2²

w =2 ft

l = 12*2 = 24ft

Answer:

Let the width be w and Length will be 12w

So,

Area = lw

48 = 12w × w

48/12 = w²

4 = w²

√4 = √w²

2 = 2

Length = 12(2) = 24 cm

Breadth = 2 cm

[tex] \\ [/tex]

Answer:

No. Im sorry!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

since its isosceles AB = BC

3x - 4 = 5x - 10

2x = 6

x = 3

AB = 3(3) - 4

= 9 - 4

= 5

Answer:

D. 248mi^2

Step-by-step explanation:

first find the area of the top and bottom which is 6x4 which is 24

then find the area of the side squares 10x4 which is 40 and then find the front and back squares which is 6x10 which is 60. then add them all up 24+24+40+40+60+60=248

Answer:

Look at my explanation

Step-by-step explanation:

The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.

2πr = 22π

divide both sides by 2

πr = 11π

divide both sides by π

you get r = 11

So your radius is 11.

To find the area, you must do πr^2 ("^2" means squared)

if you substitute 11 for r you get

11π^2

you can do 11 squared first

11^2 = 121

the area of the circle = 121π

Keep in mind that they said to use 3.14 for π

so you can do 121 x 3.14

Final Answer: 379.94

Answer:

160

Step-by-step explanation:

LxWxH divided by 2

8x8x5=320

320/2=160

Answer:

x=1

Step-by-step explanation:

141x-1=2(70)

141x=140+1

141x=141

x=141/141

x=1

Answer:

428

Step-by-step explanation:

Hello!

This is just a conceptual problem where you'll be converting units.

If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.

Let's convert from inches to meters.

Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.

In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.

Hope this helps!

Answer:

180100

Step-by-step explanation:

Use savings annuity formula

Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.

You have earned 292589 dollars from compound interest.

Compound interest is calculated from both the initial principle and the previous accumulated interest.

According to the given question you invest, every month, in an annuity that pays 3% interest.So r = 3.

After 25 years, you have 550,000 dollars so amount (A) = 550,000.

We know, Interest = Amount - Principle.

A = P(1 + r/100)ⁿ, where n represents time in years.

Given n = 25.

The interest is compounded monthly so the formula will be

A = P[1 + (r/12)/100]¹²ⁿ.

555000 = P[ 1 + 3/1200]¹²ˣ²⁵.

555000 = P[ 1203/1200]³⁰⁰.

555000 = P(1.0025)³⁰⁰.

555000 = 2.115P

P = 262411.

CI = ( 555000 - 262411) dollars.

CI = 292589 dollars.

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Answer:

5 m

Step-by-step explanation:

Answer:

60? Maybe could be wrong

Step-by-step explanation:

0               Sides 4 cm, 2 cm, 7 cm

     1                ASA = 30°, 12 in, 30 cm

    ∞                Angles 25°, 75°, 60 °

FOUND THIS IN BRAINLY

Answer:

0 matches with 4,2, and 7 centimeters.

1 matches with 30, 60, and 12

infinitely many matches with 45, 75, and 60!