f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)

Answer:

6 yards is more, 6 yards converted into inches is 216

Step-by-step explanation:

Answer:

6 yards

Step-by-step explanation:

1 inch = 0.0277778 yard

=> 215 inches = 5.97222 yards

- But 5.97222 < 6

Therefore, 6 yards are longer than 215 inches

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

Answer:

The answer is B

Step-by-step explanation:

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

A

Step-by-step explanation:

Answer:

54.308 kilograms

Step-by-step explanation:

Answer:

1st option maybe?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.

Answer:

1537.92$

Step-by-step explanation:

Answer:

[tex] 40 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] 4 \frac{1}{2} \times 2 \frac{2}{5} \times 3 \frac{3}{4} = [/tex]

[tex] = \dfrac{9}{2} \times \dfrac{12}{5} \times \dfrac{15}{4} [/tex]

[tex] = \dfrac{9 \times 12 \times 15}{2 \times 5 \times 4} [/tex]

[tex] = \dfrac{9 \times 3 \times 3}{2 \times 1 \times 1} [/tex]

[tex] = \dfrac{81}{2} [/tex]

[tex] = 40 \frac{1}{2} [/tex]

Answer:

4 1/2 * 2 2/5 * 3 3/4 = 81/2 or 40 1/2 or 40.5

Hope this helps!

Answer:

55

Step-by-step explanation:

complementary angle means either of two angles whose sum is 90°.

we can use this to find that angle abc is 55 and since angle abc and ebf are opposite the measure the same

Answer:

One of the angles is 42 degrees the other one is the same.

To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so

42 - 42 - 90 = 90

I believe this is the right answer my bad if its not

Answer: =2/15

Step-by-step explanation: Hope this help :D

Answer:

2/15

Step-by-step explanation:

4/5 - 2/3

Step 1: Find a common denominator. 5 and 3 don't share any factors other than 1, so multiply them to get 15.

12/15 - 10/15

(12 - 10)/15

Step 2: Subtract 10 from 12 to get 2.

2/15

4/5 - 2/3 simplified is 2/15.

Answer: -12

Step-by-step explanation:

4 1/2-5 1/8= -5/8 divided by 7 1/2

= -12

Hope this helped!!<3

Answer:

-12

Step-by-step explanation:

4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1  + 3/8 = -5/8

7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12

Answer:

Step-by-step explanation:

1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy

Answer:

The first one is three the second is four

Step-by-step explanation:

1/2÷2/3 (do copy, dot, flop)

1/2·3/2

1·3=3

2·2=4

3/4

The two numbers in bold are the answers

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.

Answer:

The line AB is a tangent of the circle with center C.

Answer:

X=-2, y=3

Step-by-step explanation:

Answer:

61.3°

Step-by-step explanation:

For angle x, 12 is the adjacent leg. 25 is the hypotenuse.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

cos A = adj/hyp

cos x = 12/25

x = cos^-1 12/25

x = 61.3°

Answer:

The answer is 42ft ^3 (42 ft units cubed)

Step-by-step explanation:

To find the volume for a rectangular prism, first of all you need to know the formula. The formula is V=lwh (volume= length x width x height)

The formmula for this problem is V= 7ft x 2ft x 3ft= 42ft

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x

Answer:

b. 869.6 ft²

Step-by-step explanation:

The figure is composed of an equilateral triangle and a trapezoid

Therefore,

Area of the figure = area of the triangle + area of the trapezoid

✔️Area of triangle = ½*a*b*Sin C

Where

a = 22 ft

b = 22 ft

C = 60° (mall angles of an equilateral triangle measures 60°)

Area = ½*22*22*Sin 60°

Area = 209.58 ft²

✔️Area of trapezoid = ½(a + b)h

a = 22 ft

b = 38 ft

h = 22 ft

Area = ½(22 + 38)22

Area = ½(60)22

Area = 960 ft²

✔️Area of the figure = 209.58 + 660 = 869.58 ≈ 869.6 ft²

Answer:

use m a t h w a y

Step-by-step explanation:

put it all together and they will give you opitions