Please help! I really need it!

Please Help! I Really Need It!

Answers

Answer 1

Answer:

1.  x > 4

2.  m < 2

3.  x > 2

4.  x < -6

Step-by-step explanation:

These 4 inequalities will be solved the same way we solve equations. We take variables to one side and numbers to another and use algebra to solve. Each of them are solved shown below:

1.

[tex]4+6x<x+6x\\4+6x<7x\\4<7x-6x\\4<x[/tex]

so x is greater than 4, we can write (variable first):

x > 4

2.

[tex]m+16>8m+2\\16-2>8m-m\\14>7m\\\frac{14}{7}>m\\2>m[/tex]

so m is less than 2, we can write:

m < 2

3.

[tex]5x-1>13-2x\\5x+2x>13+1\\7x>14\\x>\frac{14}{7}\\x>2[/tex]

so x is greater than 2, we can write:

x > 2

4.

[tex]-3x-2>-x+10\\-2-10>-x+3x\\-12>2x\\\frac{-12}{2}>x\\-6>x[/tex]

so x is less than -6, we can write:

x < -6


Related Questions

what is the area of a 70 mm circle

Answers

Answer:

The area of the circle is 3,8550 mm

Step-by-step explanation:

Diameter    (d) = 70 mm

Radius             (r) = (70/2) mm = 35mm

Π                   = 22/7

Area of circle x       =   πr^2

                  =   22/7 x 35^2

                  =   22/7 x 1225

                  =   26,950/7

                  =   3,850 mm

Round 1.143 to the nearest hundredth

Answers

Answer:

1.14

Step-by-step explanation:

hundreth = 0.01

so we ignore the 3 because it is in teh thousandths

hope this helps :)

With 1.143, rule A applies and 1.143 rounded to the nearest hundredth is:

1.14

The circumference of a circle is 8.97cm. Find the length of the diameter. Give your answer rounded to 2 DP. PLEASE HELP ME

Answers

Length of diameter is 2.86 cm

Solution:

Given that circumference of a circle is 8.97 cm

To find: length of diameter

We can use the formula for circumference of circle to find radius and then we can find diameter

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where "r" is the radius of circle and [tex]\pi[/tex] is a constant equals to 3.14

Substituting c = 8.97 and [tex]\pi = 3.14[/tex]

[tex]8.97 = 2 \times 3.14 \times r\\\\8.97 = 6.28 \times r\\\\r = \frac{8.97}{6.28}\\\\r = 1.4283[/tex]

Thus radius of circle is 1.4283 cm

Finding diameter of circle

diameter = 2(radius)

diameter = 2(1.4283) = 2.8566

On rounding to two decimal point we get, 2.86

Thus length of diameter is 2.86 cm

For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?

Answers

Answer:

5x + 3

Step-by-step explanation:

1) Collect like terms.

(2x − x + 3x + x) + (5 − 2)

2) Simplify

5 x + 3

Answer:

D.) hope this help if i don´t then o well

Step-by-step explanation:

Use the following figure to answer the question
∠ 1 and ∠ 3 are vertical angles.

True
False

Answers

Answer:

True

Step-by-step explanation:

1 and 3 are vertical angles

Answer: False

<1 and <3 are Supplementary Angles

Step-by-step explanation:

The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:

Answers

Answer:6

Step-by-step explanation:

Answer:

6 months

Step-by-step explanation:

3 divided .5 = 6

2 months = 1 inch

1 inch x 3 = 3 inches

2 months x 3 = 6 months

Today Robbie is carrying his history textbook and his lunch in his backpack. If the history textbook weighs 2 5/6 pounds and his lunch weighs 1 2/3 pounds, how much weight is in Robbie's backpack?

Answers

Final answer:

To find the total weight in Robbie's backpack, the weights of the history textbook (2 5/6 pounds) and lunch (1 2/3 pounds) are added, resulting in a total of 4 1/2 pounds.

Explanation:

The question involves finding the total weight of items in Robbie's backpack: a history textbook and his lunch. The history textbook weighs 2 5/6 pounds and his lunch weighs 1 2/3 pounds.

To find the total weight, we first convert the mixed numbers into improper fractions for easier addition. The history textbook's weight as an improper fraction is (2×6)+5 = 17/6 pounds. The lunch's weight is (1×3)+2 = 5/3 pounds.

Adding these two fractions gives us:

   17/6 + 5/3 = 17/6 + 10/6 = 27/6 pounds

Since 27/6 simplifies to 4 1/2 pounds, the total weight in Robbie's backpack is 4 1/2 pounds.

A clothing store uses the step function f(x) to recommend jeans sizes as a function of x, a child’s height in inches. f(x) = StartLayout Enlarged left-brace 1st row 1st column 1 2nd column 40 less-than-or-equal-to x less-than 42 2nd row 1st column 2 2nd column 42 less-than-or-equal-to x less-than 44 3rd row 1st column 3 2nd column 44 less-than-or-equal-to x less-than 46 4th row 1st column 4 2nd column 46 less-than-or-equal-to x less-than 48 EndLayout According to the function, which is the height of a child who should wear size 2 jeans? 41.9 inches 42 inches 44 inches 44.1 inches

Answers

Answer: B. 42 inches

Step-by-step explanation:

Answer:

42 inches

Step-by-step explanation:

The function states in its second row that for size 2, the range of x (a child’s height in inches) is 42 ≤ x < 44. Then, the option 41.9 is incorrect because is less than 42 and x is greater-or-equal-to 42; option 44 inches is incorrect because it is equal to 44 and the equality sign is not included; option 44.1 inches is greater than 44 and x is less than 44; and option 42 inches is correct  because x is greater-than-or-equal to 42, that is, the equal sign is included.

Y/4-9=-3please explain how you got the answer in detail if what you did to get the answer you got.

Answers

Answer:

24

Step-by-step explanation:

y/4-9=-3

y/4=-3+9

y/4=6

y=6*4

y=24

How many ounces does a 2-ton rhinoceros weigh?

Answers

Answer:

64,000 ounces

Step-by-step explanation:

1 ton = 32,000 ounces

2 tons x 32,000 ounces (which is equal to one ton)

=64,000 ounces

2 tons = 64,000 ounces

Final answer:

A 2-ton rhinoceros weighs 64,000 ounces, which is calculated by converting tons to pounds and then pounds to ounces.

Explanation:

The weight of a rhinoceros weighing 2 tons can be calculated in ounces by first converting the weight to pounds. As we know from previous examples, 1 ton = 2,000 pounds. So, a 2-ton rhinoceros weighs 2 × 2,000 = 4,000 pounds. Now, to convert pounds to ounces, we use the conversion factor that 1 pound = 16 ounces. Therefore, a 2-ton rhinoceros weighs 4,000 × 16 = 64,000 ounces.

Learn more about Mathematics here:

https://brainly.com/question/42863377

#SPJ3


Complete the inequality statement.

14 ft ____ 4 1/2 yd.

<
>
=

Answers

14 ft > [tex]4\frac{1}{2}[/tex] yards

Step-by-step explanation:

Given,

14 ft ____ 4 1/2 yd.

We will convert yards into feet to determine the inequality.

1 yard = 3 feet

[tex]4\frac{1}{2}[/tex] yards = [tex]3*4\frac{1}{2}[/tex]

[tex]4\frac{1}{2}[/tex] yards = [tex]3*\frac{9}{2}[/tex]

[tex]4\frac{1}{2}[/tex] yards = 3*4.5 = 13.5 feet

which is less than 14 feet, making 14 feet greater, therefore, we will use 'greater than' inequality.

14 ft > [tex]4\frac{1}{2}[/tex] yards

Keywords: inequality, conversion

Learn more about conversion at:

brainly.com/question/10046556brainly.com/question/100704

#LearnwithBrainly

Answer:

>

Step-by-step explanation:

What is the equation of the graph below?
y = cos(x/0.4)
y = cos(5x)
y = cos(0.4x)

Answers

Answer:

The answer is C. y=cos(0.4x)

Step-by-step explanation:

took the test

Answer: c

Step-by-step explanation:

y=cos(0.4x)

A car salesman had $65,100 in sales. He earned $1,953 in commission. What percent commission did he earn. Explain your answer.






How long was the loan

Interest earned = $299

Principal = $1300

Interest rate = 7%

Answers

Answer:

1. The percent commission earned is 3%.

2. The loan period is 3.29 years.

Step-by-step explanation:

1. Salesman has $65,100 in sales. He earned $1,953 in commission.

Let the percent commission earn be x%

Therefore, x% of the sales equals $1,953

[tex]\frac{x}{100} of  $65,100 = $1,953[/tex]

[tex]\frac{x}{100}  * 65100 = 1953\\\frac{65100x}{100} = 1953[/tex]

We cross multiply

[tex]\frac{65100x}{100}  = 1953\\65100x = 1953 * 100\\65100x = 195300[/tex]

Divide both side by the coefficient of 'x' (65100)

[tex]\frac{65100x}{65100} =  \frac{195300}{65100} \\x = 3[/tex]

Therefore, the percent commission earned is 3%

2. Interest (I) = $299  Principal (P) = $1300   Rate (R) = 7%

The formula for finding interest is given as: [tex]I = \frac{PRT}{100}[/tex]

Therefore, substituting into the formula, we have:

[tex]299 = \frac{1300 * 7 * T}{100}[/tex]

We are finding the time it takes the loan to earn an interest of $299

[tex]299 = \frac{1300 * 7 * T}{100} \\299 = \frac{9100T}{100}[/tex]

We cross-multiply:

[tex]299 * 100 = 9100T\\29900 = 9100T[/tex]

Divide both side by the coefficient of T (9100)

[tex]\frac{29900}{9100}  = \frac{9100T}{9100}\\T = 3.29[/tex]

Therefore, the time taken for the loan to earn such interest is approximately 3.29 years

solve the system of equations below.
2 x 4 y = 10
2 x 4y = -10

A. X=3, Y=1
B. X=6, Y= -4
C. No solution
D. Infinitely many solutions

Answers

Answer: C) No solution

Let’s solve this. First we need to put the first equation into y=mx+b form. Let’s do this now.

First equation-

2•4y=10

*subtract 2*

4y=8

*divide 4*

y=2

Now that we know the value of y, let’s substitute that into the second equation.

2•4y= -10

2•4(2)= -10

2•8= -10

16= -10

When solved, these equations produce a result where both sides do not equal each other. 16 does not equal -10, making this have no solution.


This is your answer! Hope this helps comment below for more questions :)


A right cylinder has a radius of 3 and a height of 12. What is its surface area?
A. 457 pi units squared
B. 90 pi units squared
c. 108 pi units squared
D. 72 pi units squared

Answers

Answer:

90π units²

Step-by-step explanation:

(refer to attached)

Total Surface are off a right cylinder = area of its ends + area of curved surface

Given radius, r = 3 units and height, h = 12 units

Area of 2 ends,

= Area of 2 circles

= 2 x πr²

= 2π (3²)

= 2π (9)

=18π units²

Area of curved surface,

= 2πrh

= 2π(3)(12)

= 72π units²

Hence,

Surface area = 18π + 72π = 90π units²

The solution is, 90π units² is its surface area.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

A right cylinder has a radius of 3 and a height of 12.

we know that,

Total Surface are off a right cylinder = area of its ends + area of curved surface

Given radius,

r = 3 units and height, h = 12 units

Area of 2 ends,

= Area of 2 circles

= 2 x πr²

= 2π (3²)

= 2π (9)

=18π units²

Area of curved surface,

= 2πrh

= 2π(3)(12)

= 72π units²

Hence,

Surface area = 18π + 72π = 90π units²

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

Plz help me really really fast 2 mins left

Answers

Answer:

C

Step-by-step explanation:

The diagonal of the square creates 2 right triangles with the diagonal as the hypotenuse.

Using Pythagoras' identity in either of the right triangles.

The square on the hypotenuse is equal to the sum of the squares of the other 2 sides.

Let x be the side of the square, then

x² + x² = 40², that is

2x² = 1600 ( divide both sides by 2 )

x² = 800 ( take the square root of both sides )

x = [tex]\sqrt{800}[/tex]

  = [tex]\sqrt{100(8)}[/tex]

=  = 10[tex]\sqrt{8}[/tex]

  = 10 × [tex]\sqrt{4(2)}[/tex]

  = 10 × 2[tex]\sqrt{2}[/tex] = 20[tex]\sqrt{2}[/tex] → C

What is the reason for the last step in the argument?
A) division
B) addition
C) subtraction
D) symmetric property

Answers

Answer:

A) division

Step-by-step explanation:

4x=-4

4x/4=-4/4 (dividing by 4 on both sides)

x=-1

Kenny wants to place a picture frame in the center of a wall that is 17 3/4 feet wide. The picture is 2 3/4 feet wide. How many feet from each side of the wall must the frame be so that it is centered?

Answers

Answer:

The distance of frame from each side of the wall so that it is at centered is 7.5 feet

Step-by-step explanation:

Given as :

The measure of the wall = 17[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the wall =[tex]\dfrac{71}{4}[/tex] feet

The measure of the picture = 2[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the picture =[tex]\dfrac{11}{4}[/tex] feet

Let The distance from each side of wall so that frame at centered = x feet

Now, According to question

x = The measure of the wall - measure of the picture

Or, x = [tex]\dfrac{71}{4}[/tex] feet - [tex]\dfrac{11}{4}[/tex] feet

Or, x = [tex]\dfrac{71 - 11}{4}[/tex] feet

Or, x = [tex]\dfrac{60}{4}[/tex] feet

∴ x = 15 feet

Now, For each side so that frame st centered = [tex]\dfrac{15}{2}[/tex] feet

Or,  For each side so that frame st centered = 7.5 feet

Hence,The distance of frame from each side of the wall so that it is at centered is 7.5 feet Answer

May someone please help me?

Answers

Answer:

grapes cost $1.25 per pound

blueberries cost $4 per pound

Step-by-step explanation:

We have two unknowns, the cost of grapes and the cost of blueberries.

I'll call grape g and blueberries b.

since 21lb grapes and 44lb of blueberry cost $202.25, we can set up our first equation.

21g + 44b = 202.25

and the question also said 30lb grape and 22lb blueberries cost $125.50, we can set up our second equation.

30g + 22b = 125.5

now that we have two equations, you can use any methods you want to solve for the variable. I'm gonna use elimination.

    21g + 44b  = 202.25

-2(30g + 22b = 125.50)

━━━━━━━━━━

-39g = -48.75

    g = 48.75/39

    g = 1.25,     grapes cost $1.25 per pound

now use substitution to find the cost of blueberries. you know the value of g now so plug it back in to one of the equation.

21g + 44b  = 202.25

21(1.25) + 44b  = 202.25

26.25 + 44b = 202.25

44b = 176

b = 4      , blueberries cost $4 per pound

List ways to show 46 as tens and ones

Answers

Answer:

4 tens 6 ones

Step-by-step explanation:

those are the only way

Final answer:

The number 46 can be expressed as 4 tens and 6 ones, representing the value 40 plus 6, utilizing the powers of ten place value system.

Explanation:

When expressing the number 46 in terms of tens and ones, we use the place value system which is based on powers of ten.

In this system, each place in the number represents a power of 10.

To represent 46 as tens and ones, we look for the highest power of ten that fits into the number without exceeding it.

In the case of 46, that value is 40, because 4 tens (4 x 10) equal 40, and there are 6 ones left over.

Therefore, we can say that 46 consists of 4 tens and 6 ones. This can be shown visually as:

 

This scatter plot for a fund-raiser shows the time spent raising money for 9 student events. Noting the trend in the scatter plot, which is the most reasonable approximation of the money raised in the 11-hour fund-raiser?

Answers

Answer:

About $90, because the trend line shows that value for $11.

Step-by-step explanation:

It is the only one that shows a constant rate of change.

Answer:

the first one ( the line closest to 90)

Step-by-step explanation:

find the slope of the line that is horizontal and passes through the point (3,-4). m= ?

Answers

Answer:  [tex]m=0[/tex]

Step-by-step explanation:

The slope can be calculated with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Notice that the formula shows the change in "y" for a unit change in "x"  on the line.

In order to solve this exercise, it is important to remember that:

1. If a line is increasing, then its slope is positive.

2. If a line is decreasing, then its slope is negative.

3. If the line is horizontal, its slope is zero.

4. If the line is vertical, it has no slope.

Therefore, since the given line that passes through the point [tex](3,-4)[/tex], is horizontal, its slope is:

[tex]m=0[/tex]

(02.03) The table below shows two equations: Equation 1 |3x − 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions.

Answers

Answer:

We can say that equations 1 and 2 have no solutions.

Step-by-step explanation:

The equation 1 is |3x − 1| + 7 = 2 ........ (1)

|3x − 1| = - 5

This equation is invalid as the absolute value of (3x - 1) will always be positive and here it is - 5.

Therefore, this above equation has no solution.

The equation 2 is |2x + 1| + 4 = 3 ........ (2)

⇒ |2x + 1| = - 1

This equation is invalid as the absolute value of (2x + 1) will always be positive and here it is - 1.

Therefore, this above equation has no solution.

Hence, we can say that equations 1 and 2 have no solutions. (Answer)

A tile pattern has 5 tiles in Figure 0 and adds 7 tiles in each new figure. Write the equation of the line that represents the growth of this pattern

Answers

It will be
y = 5 + 7x
where y is the number of tiles and x is the number of the figure.

The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the length and width.

Answers

Length = x
Width = x - 7
Perimeter = 2* length + 2* width
58 = 2x + 2(x - 7)
58 = 2x + 2x - 14
4x = 58 + 14
4x = 72
x = 18

Length = 18 inches
Width = 11 inches.

Hope this helps.
:)

The length of rectangle will be 18 meters and width of rectangle will be 11 meters.

It is given that width of a rectangle is seven meters less than the length.

If perimeter of rectangle is 58 meters then find the value of length and width.

What are the area and perimeter of a rectangle ?

The area of rectangle is A = L × B and the perimeter is 2 ( L + B ) , where ; L = length and B = width.

Let's assume the length of the rectangle is x.

The width of the rectangle will be ;

= x - 7

Also ; the perimeter of triangle is given which is equal to 58 meters.

We know that ; the perimeter of triangle is given by ;

Perimeter = 2 × ( length + width )

So ;

58 = 2 [ x + (x - 7)]

58 = 2 ( 2x - 7 )

58 = 4x - 14

or

4x = 58 + 14

4x = 72

x = 72 ÷ 4

x = 18 meters

So ;

Length = 18 meters

and

Width = 18 -7 = 11 meters

Thus , the length of rectangle will be 18 meters and width of rectangle will be 11 meters.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

HELP ASAP PLEASE
Which types of dilation are the given scale factors?



Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.

Answers

-4= Contraction

2.5=Expansion

2/3= Contraction

-3/4= Contraction

Best way to solve this, if the scale factor is less than one, is a contraction. If it is greater than one, than it is an expansion.

A teacher gave a math test to 48 students. The five-number summary of the test scores is shown.

Answers

Answer:

Its 24 and 12

Step-by-step explanation:

Answer:

He's right

Step-by-step explanation:

What expression is equivalent to 2x^2+2x-4/2x^2-4x+2

Answers

You need to factor the numerator and denominator...

(2x^2+4x-2x-4)/(2x^2-2x-2x+2)

(2x(x+2)-2(x+2))/(2x(x-1)-2(x-1))

((2x-2)(x+2))/((2x-2)(x-1))  so the (2x-2)s cancel out leaving

(x+2)/(x-1)

Answer:

[tex]\large\boxed{\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{x+2}{x-1}}[/tex]

Step-by-step explanation:

[tex]\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{2(x^2+x-2)}{2(x^2-2x+1)}=\dfrac{x^2+x-2}{x^2-2x+1}\\\\=\dfrac{x^2+2x-x-2}{x^2-x-x+1}=\dfrac{x(x+2)-1(x+2)}{x(x-1)-1(x-1)}\\\\=\dfrac{(x+2)(x-1)}{(x-1)(x-1)}\qquad\text{cancel}\ (x-1)\\\\=\dfrac{x+2}{x-1}[/tex]

The leader board at the Lakeside Golf Tournament shows that Mei's score is 3 and Noah's score is -6. How many more strokes did Mei take than Noah?

A. 3

B. 9

C. 10

D. 8

Part B.

Find the total score made by Mei and Noah together.​

Answers

Mei toke 9 more strokes than noah so the answer is (B)

Mai take 9 more strokes than Noah.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The leader board at the Lakeside Golf Tournament shows that,

Mei's score is 3 and Noah's score is -6.

Now,

Since, Mei's score is 3 and Noah's score is -6.

Hence, The number of more scores of Mei's than Noah is,

⇒ 3 - (-6)

⇒ 3 + 6

⇒ 9

Thus, Mei take 9 strokes more than Noah.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

The theoretical probability of an event occurring is Two-fifths. Which best describes the experimental probability associated with this event? Out of every 5 trials, the desired outcome will occur exactly 2 times. Out of every 5 trials, the desired outcome will occur approximately 2 times. Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes. Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.

Answers

Answer:

Out of every 5 trials, the desired outcome will occur approximately 2 times

Step-by-step explanation:

The first statements states that it will happen exactly two times, but probability never guarantee the outcome

The third and fourth statement states out of 7 which cannot be true as 2-5 basically means out of 5

Answer:

B: Out of every 5 trials, the desired outcome will occur approximately 2 times.

Step-by-step explanation:

Other Questions
While President of UGA, Abraham Baldwin believed __________. slaves should go to college. only the wealthy needed education. all social classes needed education poor people should not go to school Employers are not required to keep a record of an employee who has the flu.a. Trueb. False Bills company is developing a new product. There are indications that the product may be defective and could result in substantial liability for the company. Bill argues that the companys strong record of developing and marketing products suggests that they will pull through this time as well. The board members quickly decide to go ahead with the product despite its dangers. Their reasoning is an example of ________. A baseball player standing on a platform throws a baseball out over a level playing field. The ball is released from a point 3.50 m above the field with an initial speed of 14.3 m/s at an upward angle of 27.0 degrees above the horizontal. What horizontal distance will the ball travel before hitting the ground? Eric and his wife are each starting a saving plan. Eric will initially set aside $50 and then add $30.65 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50+30.65N, where N is the number of weeks he has been saving. His wife will not set an initial amount aside but will add $55.85 to the savings every week. The amount B (in dollars) saved using this plan is given by the function B= 55.85N. Let T be the total amount in dollars saved using both plans combined. Write and equation relation T to N. Simplify your answer as much as possible A weak fuel to air mixture along with normal airflow through a turbine engine may result in? According to the videos seen in Modules 8, please write a short paragraph answering the following questions: a. What are some examples of on-the-spot feedback? b. What are some examples of delayed feedback? Nutrition-related health objectives for the nation have been published by the:_________A. Department of Agriculture. B. Food and Drug Administration. C. Department of Health and Human Services. D. Centers for Disease Control and Prevention. E. Association for Nutrition and Dietetics. Rhonda is single and receives the following income during the year: $30,000 taxable pension, $6,000 in social security payments, and $1,000 of interest on State of Iowa bonds. What is Rhonda's adjusted gross income based on the above information?a. $36,000b. $34,500c. $33,000d. $30,000e. None of the above A 2500-lb vehicle has a drag coefficient of 0.35 and a frontal area of 20 ft2. What is the minimum tractive effort required for this vehicle to maintain a 70 mi/h speed on a 5% upgrade through an air density of 0.002045 slugs/ft3? Which of the following is the term forthe substances which are involved inorder to make the formula ofphotosynthesis work?A. productsB. organellesC. reactantsD. synthesis Why is ""Climate Change"" a more accurate description of the increase in Earths temperature than ""Global Warming""? A. it is unclear whether or not warming of the planet is occurring B. some portions of the Earth will become colder while others become warmer C. the planet is undergoing a decrease in overall temperature proposal for electing the president whereby each states election laws would provide for all of the states electoral votes to be awarded to the winner of the national popular vote and enter into an interstate compact agreeing to elect the president by national popular vote Devise the exponential growth function that fits the given data, then answer the accompanying question. Be sure to identify the refernce point (t=0) and units of time.Between 2003 and 2008, the average rate of inflation in a certain country was about 4% per year. If a cart of groceries cost $120 in 2003, what will it cost in 2013 assuming the rate of inflation remains constant? Statistics show that ________ of homeless adults living in shelters experience mental illness. Which leader is MOST closely associated with the end of communism within the Soviet Union?A)Vladimir LeninB)Leonid BrezhnevC)Nikita KhrushcevD)Mikhail Gorbachev What type of sentence is made up of two simple sentences joined with a and a coordinating conjunction? Simplify this expression:16 + 28 2 6______________10 4 x 2-2.4-4.881220 Orlando worked $6/h one week and $7/h the next week. He worked 5 more hours the second week than the first and earned $347 for the 2 weeks of work. How many hours did he work each week? Teachers in a medium-sized suburban school district have an average salary of $47,500 per year, with a standard deviation of $4,600. After negotiating with the school district, teachers recieve a 5% raise and a one-time $500 bonus. What are the new mean and standard deviation of the teacher's salaries during the year in which they recieve bonus?A. $50,125; $4,960B. $49,875; $4,830C. $49,875; $5,330D. $50,375; $4,830E. $50,375; $5,330 Steam Workshop Downloader