Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answer:

4(16x+15)

Step-by-step explanation: They both have the common factor of 4

Answer:

508 miles per hour

Step-by-step explanation:

First, set up an equation:

miles per hour = # of miles ÷ # of hours

2,794 miles ÷ 5.5 hours = 508 miles/hour

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Every day that John rides on the bus, he loses $3

if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days

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Answer:

Step-by-step explanation:

5x-28=-3

You want to isolate x.

First, add 28 to both sides to isolate 5x, what you do to one side you do to the other, so:

5x= 25

Seperate 5x by dividing it, so 25/5.

x = 5 is your answer.

Answer:

-27

here is the answer for you

Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest

Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.

The second reason is that the account earns more interest than other account.

Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.

Kate should choose college savings.

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The perimeter of the rectangle ABCD is 13.7 inches.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

⇒ sin30° = AD/AC

⇒ AD = AC(sin30°) = 5(1/2)

⇒ AD = 2.5 inches

⇒ sin60° = CD/AC

⇒ CD = AC(sin30°) = 5(√3/2)

⇒ CD = 4.33 inches

The perimeter of rectangle ABCD = 2(AD) + 2(CD)

The perimeter of rectangle ABCD = 2(2.5) + 2(4.33) = 5 + 8.66

Rounded to the nearest tenth

The perimeter of rectangle ABCD = 13.66 ≈ 13.7 inches

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The question seems to be incomplete the correct question would be

Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?

rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees.

Answer:

[tex]k = -\frac{7}{3}[/tex]

Step-by-step explanation:

Given :

p(x) = 2x² − 3kx + 5

Since, -1 is a zero for p then :

p(-1) = 0

Solving the equation p(-1) = 0 for k :

p(-1) = 0

⇔ 2(-1)² − 3k(-1) + 5 = 0

⇔ 2 + 3k + 5 = 0

⇔ 3k = -5 - 2

⇔ 3k = -7

⇔ k = -7/3

NOTE :

If -1 is a zero of p

[tex]\Longrightarrow k = -\frac{7}{3}[/tex]

[tex]\Longrightarrow p(x) = 2x^2 - 3(\frac{-7}{3}) x + 5\\\Longrightarrow p(x) = 2x^2+ 7x + 5[/tex]

Answer:

Function 1 is neither odd nor even

Function 2 is odd

Step-by-step explanation:

Here, you must first understand the expression of odd and even functions:

Even: f(x) = f(-x)

Odd: f(-x) = -f(x)

Question 1:

[tex]{ \tt{f(x) = x + 3}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - x + 3}} \\ { \tt{f( - x) \: is \: neither \: even \: nor \: odd }}[/tex]

Question 2:

[tex]{ \tt{f(x) = - { \green{{3x}^{3} + 6x }}}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - 3 {( - x)}^{3} + 6( - x) }} \\ { \tt{f( - x) = 3 {x}^{3} - 6x}} \\ { \tt{f( - x) = - \{ { \green{- 3 {x}^{3} + 6x }}}} \} \\ { \tt{f( - x) = - f(x)}}[/tex]

32 Quartz to 48 Quartz is 2/3 Quartz

The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :

Mathematically, we can write :

          1 quart = 32 fluid ounces

          1 quart = 0.94 US liters = 4 cups (approx.)

According to given question,  32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.

Mathematically, we can write :

[tex]\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz[/tex]

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Answer: 4^5=1024

Step-by-step explanation:

4x4x4x4x4=1024

Answer:

1024!

Step-by-step explanation:

Answer: 6 cups of lemonade for Aaliyah

Step-by-step explanation:

If Donald used 1 1/2 cups of lemonade-

And Aaliyah uses 4 times that amount-

Aaliyah does 4 times that amount you will do 1 1/2 *4 which is 1*4=4 and 1/2*4=2 so Aaliyah uses 6 cups of lemonade.

1 1/2 * 4 = 6

Answer:

bat pa kasi pinapangita ang ex

Answer:

30,70,110

Step-by-step explanation:

12. acute

13. acute

14. obtuse

Answer:

v = 4.875

Step-by-step explanation:

Anytime you have a proportion (a fraction = a fraction)

you can cross multiply to change the equation (get rid of the fractions!) and solve.

see image.

3/v = 8/13

8v = 39

v = 4.375

see image.

The amount  that Athena will be charged for interest is $22.19

What is the meaning of APR of 16.99%?

The APR means an annual percentage rate, which means that the 16.99% is annual interest rate compounded monthly, hence, it needs to be divided by 12 in order to determine the equivalent monthly interest rate.

monthly interest rate=16.99%/12

monthly interest rate=0.0141583333333333

The monthly interest charged on the balance of $1,567.32 is computed thus:

monthly interest charged=$1,567.32*0.0141583333333333

monthly interest charged=$22.19

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Answer:

10

Step-by-step explanation:

[tex]\frac{63}{c}[/tex] + d ( substitute c = 7 , d = 1 into the expression )

= [tex]\frac{63}{7}[/tex] + 1 ← evaluate division before adding

= 9 + 1

= 10

Bacterial growth is expressed by an exponential function with the formula of [bacteria]=ae^[time]b

The equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

To find the area of a rectangle, find the product of its length and its width. Thus, the area of a rectangle is: (length)(width) = area.

Given the following:

Area of both the walkway and the garden = 396 square meters

Length = x + 16 + x = 16 + 2x

Width = x + 12 + x = 12 + 2x

Using the area formula for a rectangle, we would have:

(16 + 2x)(12 + 2x) = 396.

Therefore, the equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

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Answer:

10 squared is 100 so 10 squared is greater than 5.

Step-by-step explanation:

Hope its corrects and it helps you!

Step-by-step explanation:

bayot ka dong no plbading bading sya bayot

Answer:

Evan spent 3 hours making paper crates today.

Step-by-step explanation:

He made 28 in 4 hours. 28 divided by 4 equals 7. Which means he makes 7 paper crates in 1 hour. Today he made 21. So 21 divided by 7 equals 3.

The equation of the line traveling through (-6, 0) and (0, -3) is mathematically given as

y = -(1/2)x - 3

The equation of the line traveling through (0, 3) and (-4, -5) is mathematically given as

y = 2x + 3

An expression known as an equation is one that illustrates the connection between two or more sets of numbers and variables.

The equation of the line traveling through (-6, 0) and (0, -3) is:

y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))

y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is:

y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)

y = 2x + 3

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The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents

Let x =  minimum electric rate (Cents/kWh)

Total months in 12 years is 12*12 = 144 m

1st freezer

Total cost over 12 years is

623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)

= 623.95 + 129.6x

2nd freezer

Total cost over 12 years is

500 + 100*144*(x/100)

= 500 + 144x

For the 1st freezer to cost less over 12 years,

623.95 + 129.6x < 500 + 144x

123.95 < 14.4x

8.61 < x

The minimum rate is 8.61 cents per kWh

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That's great for Rachel! I would love a gift card as well where is this at?

Answer:

this question is impossible!11!1!!!!

Step-by-step explanation:

none

The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand

The additional information required is

Therefore,The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand

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A concert promoter needs to make $42,000 from the sale of 1800 tickets.

Show advancement is a consuming position, which requires performing business obligations — ordinarily out of an office — by day and going to shows around evening time and toward the end of the week. A show advertiser is answerable for coordinating and publicizing live shows and unique exhibitions. Show Advertisers produce and arrange shows by booking ability, getting settings, employing occasion staff, and promoting their occasions. The most well-known question that surfaces while considering turning into a show advertiser is, how much do they truly make. While taking a gander at certain insights, it shows that the compensation range is $28,000-$187,000 each year.

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