Simplify the following expression.

29.718 - 29.63

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

Answer:

0.75

Step-by-step explanation:

d = FE = 4

e = DF = 3

f = ED = 5

f/sin(F) = e/sin(E)

5/sin(90) = 3/sin(E)

5 = 3/sin(E)

sin(E) = 3/5 =0.6

E = asin(0.6) = 36.869898... degrees

tan(E) = tan(36.869898...) = 0.75

Answer:

[0, ∞)

0≤y<∞

Step-by-step explanation:

The range is the possible values that y can take

y  goes from 0 to positive infinity

[0, ∞)

0≤y<∞

Answer:

[tex]y\geq 0\\[/tex]

y ∈ [0, ∞)

Step-by-step explanation:

The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).

Answer:

x could be 0 or it could be 5/2

Step-by-step explanation:

Answer:

x= 5/2

Step-by-step explanation:

4x^2 + 4x - 14x = 0

subtract 4x from 14x because they are like terms

4x^2 - 10x=0

4x^2 = 0 + 10x

4x^2 = 10x

x^2/x = 10/4

x=10/4

x=5/2

Answer:

one solution I think is the answer

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

Answer:

The height of the tree is 430cm

Step-by-step explanation:

Given

The attached illustration

Required

The height of the tree

Let:

[tex]h \to[/tex]  Hank's height

[tex]H \to[/tex] Tree height

[tex]d \to[/tex] distance between Hank and Mirror

[tex]D \to[/tex] distance between tree and Mirror

From the question, we have:

[tex]\angle 1 = \angle 2[/tex]

This means that:

[tex]\frac{H}{D} = \frac{h}{d}[/tex]

Make H the subject

[tex]H = \frac{h}{d} * D[/tex]

So, we have:

[tex]H = \frac{172cm}{190cm} * 475cm[/tex]

[tex]H = \frac{172* 475cm}{190}[/tex]

[tex]H = \frac{81700cm}{190}[/tex]

[tex]H = 430 cm[/tex]

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

Answer:

736 units squared (c)

Step-by-step explanation:

Took the quiz

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

Answer:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Step-by-step explanation:

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

Answer:

(x+1)^3=x^3+3x^2+3x+1

Answer:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

Step-by-step explanation:

[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]

[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]

The answer is 2 ez.

Answer:

2

Step-by-step explanation:

hope i helped :))

Answer:

B

Step-by-step explanation:

26 divides by 2 = 13

13+2=14

Answer:

Step-by-step explanation:

(0,-3.5)

Answer:

(0, -3.5)

Step-by-step explanation:

The x coordinate is first

We stay on the y axis so the x coordinate is 0

The y coordinate is second

We go down 3 1/2 units so the y coordinate is -3 1/2

(0, -3.5)

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

Answer:

[tex] \displaystyle d) 36 \: {in}^{2} [/tex]

Step-by-step explanation:

the polygon can be separated in two parts

let's figure out the area of the rectangle

recall that,

given that,

thus substitute:

simplify multiplication:

let's figure out the area of the triangle

remember that,

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]

substitute the value of b and h:

[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]

reduce fraction:

[tex] \displaystyle A_{ \rm triangle} = 9[/tex]

now the area of the polygon would be the total area of the rectangle and triangle thus

[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]

simplify addition:

[tex] \displaystyle A_{ \rm polygon} = 36[/tex]

hence our answer is D)

Answer:

(2x + 3)(x + 1)

Step-by-step explanation:

you didn't show them, the factors are

(2x + 3)(x + 1)

Answer:

[tex](x+1)(2x+3)[/tex]

Step-by-step explanation:

[tex]2x^{2} +5x+3[/tex]

[tex]2x^{2} +3x+2x+3[/tex]

[tex]x(2x+3)+2x+3[/tex]

[tex](x+1)(2x+3)[/tex]

Answer:

x = 53

Step-by-step explanation:

The sum of the angles of a triangle are 180

x + ( x+2) + 72 = 180

Combine like terms

2x+74  =180

2x+74-74 = 180-74

2x =106

Divide by 2

2x/2 = 106/2

x =53

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]

The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

[tex]H_0: \mu = 22.6[/tex]

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

[tex]H_1: \mu < 22.6[/tex]

Answer:

7.391

Step-by-step explanation:

Find 10% of 8.19

8.19*10%

8.19 *.10

.819

Subtract this from 8.19

8.19-.819

7.391

maybe 108 is the answer.