If two rectangles are similar, what is the length of side x? Give your answer to one decimal place. Rectangle 1: A = 13.4ft B = 4.6ft Rectangle 2: A = 87.1 ft B = x

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

Answer:

s = -1

Explanation:

s − (−20) = 19

[ Simplify both sides of the equation ]

s + 20 = 19

[ Subtract 20 from both sides ]

s + 20 − 20 = 19 − 20

s = −1

- PNW

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6

Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

Answer:

y = 64

Step-by-step explanation:

The angles are supplementary, that is sum to 180° , thus

2(x + 6) + y = 180 ← substitute x = 52

2(52 + 6) + y = 180

2(58) + y = 180

116 + y = 180 ( subtract 116 from both sides )

y = 64

Answer:

22 hours.

Step-by-step explanation:

Using algebra:

6.5x = 143

6.5      6.5

   x  = 22

Answer:

9.81

Step-by-step explanation:

You have to add them up: 4.3943 +

                                            5.4157

                                            ----------

                                            9.8100

Answer:

53

Step-by-step explanation:

trust me

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

Answer:

0.1105263157894737

Other:

Brainliest? Thanks!

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

Answer:

It is most likely B from the graph

Answer:

b is the correct answer of the question

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer:

y=-4x+1

Step-by-step explanation:

Graph (1,-3)

Go down 4 over one/ up left one

Get y-intercept

Then BOOM you got it

Answer:

y = -4x + 1

Step-by-step explanation:

We are given that a line has a slope of -4 and a point (1, -3).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept.

As we are already given the slope, we can immediately plug its value into the equation.

Substitute -4 as m in the equation.

y = -4x + b

Now we need to find b.

As the equation passes through the point (1, -3), we can use its values to help solve for b.

Substitute 1 as x and -3 as y.

-3 = -4(1) + b

Multiply.

-3 = -4 + b

Add 4 to both sides

1 = b

Substitute 1 as b in the equation.

y = -4x + 1

Topic: writing the equation of the line (slope-intercept form)

See more: https://brainly.com/question/22448557

Answer:

I believe he slept for 9 hours of the day

Step-by-step explanation:

⅜ of 24

24 ÷ 8 = 3

3 × 3 = 9

The number of hours James slept is 9 hours.

In mathematics, an expression is a combination of symbols and numbers, often containing variables, that represents a quantity or a relationship between quantities.

Expressions can be simple or complex, and they can involve a variety of mathematical operations such as addition, subtraction, multiplication, and division.

The number of hours will be calculated as,

E = ⅜ of 24

E = 3 x ( 24 ÷ 8 )

E = 3 × 3

E = 9 hours

Therefore, the number of hours will be 9.

To know more about an expression follow

https://brainly.com/question/30672422

#SPJ3

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

Answer:

1 1/4 is 10 minutes less than 1 hour and 25 minutes

Step-by-step explanation:

1 1/4 is equivalent to 1 hour and 15 minutes.

We get this by taking the 60 minutes we know are in an hour and multiplying  it by the 1/4

[tex]\frac{60}{1} *\frac{1}{4} = \frac{60}{4} = 15[/tex]

The difference between 25 minutes and 15 minutes is 10 minutes.

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Answer:

7/15

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

f(3)=(3)^2+2(3)-4

f(3)=9+2(3)-4

f(3)=9+6-4

f(3)=15-4

f(3)=11

Answer:

Neon is stable, hence has no charge.

Oxide (O2-) has a charge of -2

Cooper (Cu2+) has a charge of +2

Tin (Sn2+) has a charge of +2

hence overall charge = -2+2+2

Overall charge = +2

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

16 cause 24 divided by 1 1/2= 16

Answer:

84

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

75% is 3/4 of the whole.

Knowing this, you can divide 21 by the numerator (3)

21 ÷ 3 = 7

Since the denominator is 4,

You need to multiply 7 by 4.

7 × 4 = 28

The answer is 28

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

Step-by-step explanation:

30. Given: rectangles QRST and RKST

     Prove: ΔQSK is isosceles

An isosceles triangle is a triangle which has two sides and two angles to be equal.

Thus,

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

Also, RT ≅ SK (opposite sides of rectangle RKST)

Thus,

RT ≅ QS  ≅ SK

Therefore,

ΔQSK is an isosceles triangle.

31. Given: Rectangles QRST, RKST and JQST

     Prove: JT ≅ KS

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

But,

JT // QS and RT // KS

Thus,

JT ≅ QS (opposite sides of rectangle JQST)

also,

RT ≅ KS (opposite sides of rectangle RKST)

So that,

JT ≅ QS ≅ RT ≅ KS

Therefore,

JT ≅ KS