Solve the equation. Check your solution.
6x + 4x - 9 = 41
x=L

Answers

Answer 1
In this equation x would equal 5

Related Questions

Grant is trying to make money to help pay for college by taking a job with Brian’s bike taxis if Baltimore. He has an agreement with Brian to rent the bike for $35.00 a night. He charges customers $3.75 for every mile he transports them. If grant needs to make at least $15.00 a day, how many miles would he need to ride?

Answers

Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day

Solution:

Given that Grant has an agreement with Brian to rent the bike for $35.00 a night

He charges customers $3.75 for every mile he transports them

Grant needs to make at least $15.00 a day

To find: miles needed to ride

From given question, He charges customers $3.75 for every mile he transports them

So if he transports for "x" miles he would get,

[tex]\$ 3.75 \times x = \$ 3.75x[/tex]

So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day

So we can frame a inequality as:

[tex]3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33[/tex]

So he needs to ride atleast 13.33 miles to male atleast $ 15.00 a day

width of a rectangle is 7 meters greater than its length ​

Answers

Answer:

[tex]x^{2} +7x-170=0[/tex]

Step-by-step explanation:

Here is the complete question: The width of a rectangle is 7 meters greater than its length . If the area of the rectangle is 170 m², write the quadratic equation in standard form for the equation that would represent the area of the rectangle. Let x equal to the length of the rectangle.

Given: Width of rectangle is 7 meter greater than length

           Length of rectangle is x.

           Area of rectangle= 170 m²

Now as given, length is x meter and width is (x+7) meter

we know that, area of rectangle= [tex]length\times width[/tex]

∴ substitute the values to get correction equation.

⇒170= [tex]x\times (x+7)[/tex]

now distributing x into (x+7).

⇒ [tex]170= x^{2} +7x[/tex]

subtracting 170 both side.

[tex]x^{2} +7x-170=0[/tex]

∴ [tex]x^{2} +7x-170=0[/tex] is the quadratic equation in standard form for the equation that would represent the area of the rectangle.

A Six Flags theme park charges $30 for adults and $15 for kids. How many adult tickets and kid tickets were sold, if a total of 1,644 tickets were sold for a total of $11,250?

Answers

Answer:

The number of adult tickets sold is 894 and the number of kid tickets is 750.

Step-by-step explanation:

Given:

A Six Flags theme park charges $30 for adults and $15 for kids.

Total of 1,644 tickets were sold.

Total amount of tickets $11,250.

Now, to find the number of adult tickets and kid tickets.

Let the number of kid tickets be [tex]x.[/tex]

And the number of adult tickets be [tex]y.[/tex]

So, the total number of tickets:

[tex]x+y=1644.[/tex].....(1)

Solving the equation we get the value of [tex]x[/tex]:

[tex]x=1644-y.[/tex]

Now, the total amount of tickets of adult and kids:

[tex]15x+30y=11250.[/tex]

So, by putting the value of [tex]x[/tex] we get:

[tex]15(1644-y)+30y=11250[/tex]

[tex]24660-15y+30y=11250[/tex]

[tex]24660+15y=11250[/tex]

Subtracting both sides by 24660 we get:

[tex]15y=-13410[/tex]

Dividing both sides by -15 we get:

[tex]y=894[/tex]

Thus number of adult tickets = 894.

Now, putting the value of [tex]y[/tex] in equation (1):

[tex]x+894=1644[/tex]

On solving we get:

[tex]x=1644-894[/tex]

[tex]x=750.[/tex]

So. the number of kid tickets = 750.

Therefore, the number of adult tickets sold is 894 and the number of kid tickets is 750.

Answer: 750

Step-by-step explanation:

A square pyramid is 6 feet on each side. The height of the pyramid is 6 feet. What is the total area of the pyramid?

Answers

Answer:

It is B.   (36√5 + 36) ft^2.

Step-by-step explanation:

Total area = area of the base +  4 * area of the triangular side.

The slant height of a triangular side =  √(6^2 + 3^2)

= √45

= 3√5

The area of this side = 3 * 3 √5

= 9√5.

Therefore the total area of the pyramid

=  6^2 + 4*9√5

= (36 + 36√5) ft^2.

A $50.00 pair of shoes is discounted 20%. If sales tax is 8%, what is the amount of tax paid?
A) $0.32
B) $0.40
C) $3.20
D) $4.00

Answers

It would be answer b

Answer:

The amount of tax paid is C. $3.20

Step-by-step explanation:

If we take $50.00 and give a 20% discount, we're taking 20% of 50 and then subtracting it from the origional price (50) which brings us down to 40, because 20% of 50 is 10 and we subtract.

Now that we have $40.00, sales tax comes in at a whopping 8%. To calculate the solution of a price with sales tax, we need to find what 8% of $40 is, which after calculations will be 3.20.

Since this question is asking on tax only, our answer is $3.200, C.

A clothing factory makes 7,200 t shirts in one week on average there are 45 employees at the factory if each employee makes the same number of t shirts how many t shirts does each employee make in one week

Answers

Answer:

160

Step-by-step explanation:

Divide 7,200 by 45

The number of t-shirts each employee make in one week is 160 if the clothing factory makes 7,200 t-shirts in one week.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A clothing factory makes 7,200 t-shirts in one week on average there are 45 employees at the factory.

Let x be the number of t-shirts each employee make in one week

The value of x can be calculated as follows:

x = 7,200/45

x = 160

Thus, the number of t-shirts each employee make in one week is 160 if the clothing factory makes 7,200 t-shirts in one week.

Learn more about the fraction here:

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Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your work.

Answers

Answer:

Therefore,

[tex]x=y= 4\sqrt{2}=5.6568\ units[/tex]

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠C = ∠A = 45°

AB = y

BC = x = adjacent side

AC = 8 = hypotenuse

To Find:

x = ?

y = ?

Solution:

In Right Angle Triangle ABC by Cosine Identity we have

[tex]\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\[/tex]

substituting the above given values we get

[tex]\cos 45 = \dfrac{BC}{AC}=\dfrac{x}{8}[/tex]

[tex]\dfrac{1}{\sqrt{2} } =\dfrac{x}{8}\\\therefore x=\dfrac{8}{\sqrt{2} } \\Rationalizing\ we\ get\\\therefore x=\dfrac{8}{\sqrt{2}}\times \dfrac{\sqrt{2} }{\sqrt{2}}}\\\therefore x=4\sqrt{2}=4\times 1.4142=5.6568\ units[/tex]

As The triangle is 45 - 45 - 90

It is an Isosceles Right triangle

[tex]x=y[/tex]..... Isosceles Triangle property

[tex]\therefore y=4\sqrt{2}=4\times 1.4142=5.6568\ units[/tex]

Therefore,

[tex]x=y= 4\sqrt{2}=5.6568\ units[/tex]

Find
HCF of
(726, 255).​

Answers

Good evening ,

Answer:

3

Step-by-step explanation:

255 = 3×5×17

726 = 2×3×11^2

Then HCF(255,726) = 3.

:)

A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming wind farms can generate 25% of their capacity, how much energy, in kilowatt-hours, can the region's wind farm generate in one year?
Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?

Answers

Answer:

The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

Amount of households =  4,818'000,000/10,000 = 481,800

A cube has a volume of 343 cubic cm. What is the area of the base

Answers

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ← s is the length of the side, thus

s³ = 343 ( take the cube root of both sides )

s = [tex]\sqrt[3]{343}[/tex] = 7, thus

area of base = s² = 7² = 49 cm²

Which statement is true regarding the graphed functions?
NON
-6-5-4-3-2-1
2 3
4 5
6
TO
f(0) = g(0)
f(-2) = 9(-2)
f(0) = g(-2)

Answers

There is no graph, so it is impossible to answer this question. I apologise.

How do you rewrite an equation in slope-intercept form

Answers

Answer:

y = mx + b

Step-by-step explanation:

m is slope

b is y-intercept

given the following formula solve for a

s = a+b+c/2

Answers

Answer:

[tex]a=2s-b-c[/tex]

Step-by-step explanation:

Given formula:

[tex]s=\frac{a+b+c}{2}[/tex]

To solve for [tex]a[/tex]

In order to solve for [tex]a[/tex] we will try to isolate [tex]a[/tex] on one side of the equation.

Steps to isolate [tex]a[/tex].

1) Multiplying both sides by [tex]2[/tex] to remove fractions.

[tex]2\times s=2\times \frac{a+b+c}{2}[/tex]

[tex]2s=a+b+c[/tex]

2) Subtracting both sides by [tex]b[/tex]

[tex]2s-b=a+b-b+c[/tex]

[tex]2s-b=a+c[/tex]

3) Subtracting both sides by [tex]c[/tex]

[tex]2s-b-c=a+c-c[/tex]

[tex]2s-b-c=a[/tex]

Thus, we successfully isolated [tex]a[/tex] on one side. The formula for [tex]a[/tex] can be given as:

∴ [tex]a=2s-b-c[/tex]

Solve this system of linear equations. Separate
the x- and y-values with a comma.
- 19x = 26 - 9
9x = 54 - 9y
HELP!!

Answers

Answer:

x=-17/19, y=131/19. (-17/19, 131/19).

Step-by-step explanation:

-19x=26-9

-19x=17

x=-17/19

9(-17/19)=54-9y

-153/19=54-9y

9y=54-(-153/19)

9y=54+153/19

9y=1026/19+153/19

9y=1179/19

y=(1179/19)/9

y=(1179/19)(1/9)

y=1179/171

y=131/19

What does y equal? Help Plz

Answers

Answer:

y = 90°

Step-by-step explanation:

You do 110° + 80° which is 180 divides by two because there is a straight line in the middle of it. I don't know how to explain it.

Answer:

90 degrees

Step-by-step explanation:

you have angles of 110 and 70 on the sides. The triangle altogether equals 180 but that doesn't matter in this equation. Since y is directly between the two angles that are given, it is 90.

110-70=40/2=20 so add 20 to 70 and subtract 20 from 110 so you get 90.

7.
What is the solution to the equation shown below?
2/3x+5=1​

Answers

9 I pretty sure :) this is the answer bc if yousimplify add 5 to both sides multiply by 3 and divide by2 it is 9

[tex] \frac{2}{3} x + 5 = 1[/tex]

[tex] \frac{2}{3} x = 1 - 5[/tex]

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

[tex]x = ( - 4) \div \frac{2}{3} [/tex]

[tex]x = ( - 4) \times \frac{3}{2} [/tex]

[tex]x = \frac{ - 12}{ \: \: \: 2} [/tex]

[tex]x = ( - 6)[/tex]

[tex]∴ \frac{2}{3} \times ( - 6) + 5 = 1[/tex]

i do not get this i'm so dumb​

Answers

Answer:

The answer is B. 6 and 8.

Answer:

B) 6 and 8

Step-by-step explanation:

[tex]3 \times 8 = 24[/tex]

[tex]4 \times 6 = 24[/tex]

[tex]2 \times 12 = 24[/tex]

Solve for w, x, y, z

x + 2y - z = 3
2x - y + z - w = -3
y + 2z - w = -7
x + 3y + 2z + 2w = 3 ​

Answers

Answer:

x= 1; y= 0; z= -2 and w= 3.

Step-by-step explanation:

Given that,

1) x + 2y - z = 3

2) 2x - y + z - w = -3

3) y + 2z - w = -7

4) x + 3y + 2z + 2w = 3 ​

now, from 1) z = x + 2y -3 →→(5)

from 2) w = 2x -y + z +3

         ⇒w = 2x -y + x + 2y -3 +3  (from (5))

            w = 3x + y →→(6)

Now substitute (5) and (6) in 3), we get

y +2(x + 2y -3) - (3x + y) = -7

⇒ 4y - x = -1 →→→(7)

Now substitute (5) and (6) in 4), we get

x + 3y + 2(x + 2y -3) + 2(3x + y) = 3

⇒ 9x +9y = 9

⇒ x + y =1 →→→(8)

⇒ x= 1-y , substituting this in (7) gives 5y -1 = -1

y = 0 and x = 1

substituting these values in

(5) and (6) gives, z = -2 and w = 3

⇒ x= 1; y= 0; z= -2 and w= 3.

Inequalities and variables

Answers

Answer:

[tex]a - 6 \leqslant 15 + 8a[/tex]

[tex] - 7a \leqslant 21[/tex]

[tex]a \geqslant - 3[/tex]

Paul wants to write equations in the form y=mx + b for the lines passing through
point D that are parallel and perpendicular to line h. First he finds the slopes of these
two lines. What could he do next to find the y-intercepts?

Answers

Y is greater then 1

Answer:

Substitute the slope  and the coordinates of point D in the equation of the line  y=mx+b and then solve for b in each equation

Step-by-step explanation:

we know that

The first step is calculate the slopes of these two lines. Remember that if two lines are parallel then the slopes are the same (m1=m2) and if two lines are perpendicular then the slopes is equal to m1*m2=-1

The second step is substitute the slope m2 and the coordinates of point D in the equation of the line in slope-intercept form y=mx+b and then solve for b in each equation

A company makes and sells headphones. The
function R= - 5x² +65x + 700 gives the amount
of money the company expects to make when the
price of the headphones is x dollars. When this
function is graphed, the vertex is 6.5, 911.25).
What does the x-value 6.5 represent?

Answers

Final answer:

The x-value 6.5 in the quadratic function's vertex represents the price of the headphones in dollars at which the company's expected revenue is maximized, according to the revenue function [tex]R= - 5x^2 +65x + 700[/tex].

Explanation:

The question involves understanding the meaning of the x-value in the vertex form of a quadratic function, which in this context represents the price of the headphones for which the company expects to make the maximum revenue. The given function is [tex]R= - 5x^2 +65x + 700[/tex], and the vertex of the graph of this function is given as (6.5, 911.25). The x-value, 6.5, therefore represents the price in dollars at which the revenue of the company is maximized. This is because, in the context of a quadratic revenue model, the vertex represents the maximum point when the parabola opens downwards (which it does, since the coefficient of x² is negative), meaning that increasing or decreasing the price from this point will lead to a decrease in the total revenue.

Given the function f(x) = 4(x − 11) − 9, determine the value of x such that f(x) = -13.

Answers

Answer:

For x = 10,  the value of the given function f(x)= 4(x − 11) − 9 is -13.

Step-by-step explanation:

Here, the given expression is:

f(x) = 4(x − 11) − 9

Now, given: f(x)  = -13

-13  = 4(x − 11) − 9

Now, solving for the value of x, we get:

-13  = 4(x-11) -9

⇒ -13 = 4 x - 44 - 9

or, -13 + 44  + 9 =  4x

or, 4 x = 40

or, x = 40/4 = 10

or, x = 10

Hence, for x = 10,  the value of the given function f(x)= 4(x − 11) − 9 is -13.

Find each unit cost rounded to the nearest cent. Then determine the better buy.


3 cans of corn for $1.68; 5 cans of corn for $2.45

Answers:


$5.04 per can; $12.25 per can; 3 cans for $1.68


$5.04 per can; $12.25 per can; 5 cans for $2.45


$.56 per can; $.49 per can; 3 cans for $1.68


$.56 per can; $.49 per can; 5 cans for $2.45

Answers

Answer:

$.56 per can; $.49 per can; 5 cans for $2.45

Step-by-step explanation:

If it were a dollar for two cans, it's pretty easy to figure out each can is 50 cents.  So you use the same idea.  if you have x cans for y dollars, if you divide both numbers by x you get the price of 1 can.

3 cans for 1.68 is 1 can for 1.68/3 = .56 so 56 cents

5 cans for 2.45 is 1 can for 2.45/5 = .49 so 49 cents.

You could use this trick dividing by the price and find how many cans you need to but to pay 1 dollar.

3 cans for 1.68 is 3/1.68 for 1 dollar or 1.786 cans for 1 dollar.  Doesn't make a lot of sense since you can't but part of a can, but I wanted to show you how you could use the logic for other things.

What is the equation of the line in the slope-interception form that passes through (3,-1) and (-1,5)

Answers

Answer:

y+1=-3/2(x-3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(-1-3)

m=(5+1)/-4

m=6/-4

simplify

m=-3/2

y-y1=m(x-x1)

y-(-1)=-3/2(x-3)

y+1=-3/2(x-3)

The mean of a set of 5 numbers is 12. One of the numbers in the set is 16. If 16 is removed from the list, what is the new mean?

Answers

The new mean is 11

Step-by-step explanation:

The mean = sum of the numbers ÷ numbers

The mean of a set of 5 numbers is 12One of the number is 16We need to find the new mean if 16 is removed from the set of numbers

∵ The set has 5 numbers

∵ The mean of the 5 numbers is 12

- Substitute these values in the rule of the mean above

∴ 12 = sum of the numbers ÷ 5

- Multiply both sides by 5

∴ 60 = sum of the numbers

∵ One of the number is 16

∵ 16 is removed from the set of the number

- Subtract 16 from the sum and the numbers will be four numbers

∵ The new sum = 60 - 16

∴ The new sum = 44

∵ The set has 4 numbers

∴ The new mean = 44 ÷ 4 = 11

The new mean is 11

Learn more:

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If a certain cannon is fired from a height of 8.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h left parenthesis t right parenthesis equals negative 4.9 t squared plus 30.5 t plus 8.8. Find the time it takes for the cannonball to strike the ground.

Answers

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

[tex]h(t)=-4.9t^2+30.5t+8.8[/tex]

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

[tex]-4.9t^2+30.5t+8.8=0[/tex]

Multiply both sides by 10.

[tex]-49t^2+305t+88=0[/tex]

For a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] the solutions are: [tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute a = -49, b = 305 and c=88

[tex]t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}[/tex]

Ignore the negative value of t as time can't be a negative number.

Thus,

[tex]t=\frac{305+\sqrt{110273}}{98}\approx6.50[/tex]

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

How do you solve 15.00 - 6.24​

Answers

Answer:

8.76

Step-by-step explanation:

Simplifying

15.00 + -6.24 = b

Combine like terms: 15.00 + -6.24 = 8.76

8.76 = b

Solving

8.76 = b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1b' to each side of the equation.

8.76 + -1b = b + -1b

Combine like terms: b + -1b = 0

8.76 + -1b = 0

Add '-8.76' to each side of the equation.

8.76 + -8.76 + -1b = 0 + -8.76

Combine like terms: 8.76 + -8.76 = 0.00

0.00 + -1b = 0 + -8.76

-1b = 0 + -8.76

Combine like terms: 0 + -8.76 = -8.76

-1b = -8.76

Divide each side by '-1'.

b = 8.76

Simplifying

b = 8.76

First you just do normal subtraction and get 8.76 and since your solving for b 8.76=b

Rajeev buys good worth Rs 6650.He gets a rebate of 6% on it.After getting the rebate, he pays sales tax @10%. Find the amount he will have to pay for the goods.​

Answers

Rajeev will pay Rs 6876.10 for the goods.

Step-by-step explanation:

Given,

Worth of goods = Rs 6650

Rebate = 6%

Amount of rebate = 6% of worth of goods

Amount of rebate = [tex]\frac{6}{100}*6650=0.06*6650[/tex]

Amount of rebate = Rs 399

Amount after rebate = 6650 - 399 = Rs 6251

Sales tax = 10%

Amount of sales tax = 10% of amount after rebate

Amount of sales tax = [tex]\frac{10}{100}*6251=0.1*6251[/tex]

Amount of sales tax = Rs 625.10

Total amount of goods paid = Amount after rebate + sales tax

Total amount of goods paid = 6251+625.10 = Rs 6876.10

Rajeev will pay Rs 6876.10 for the goods.

Keywords: addition, percentage

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Solve 13 - 2x > 21
x>-4
x > -17
x< -17
x<-4​

Answers

Answer:

x>-4

Step-by-step explanation:

13-2x > 21

-13 -13

-2x >8

(-2x)/(-2) >(8)/(-2)

x>-4

find x and y
2x+3y=80

Answers

Answer:

x = 40 + -1.5y

Step-by-step explanation:

Simplifying

2x + 3y = 80

Solving

2x + 3y = 80

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3y' to each side of the equation.

2x + 3y + -3y = 80 + -3y

Combine like terms: 3y + -3y = 0

2x + 0 = 80 + -3y

2x = 80 + -3y

Divide each side by '2'.

x = 40 + -1.5y

Simplifying

x = 40 + -1.5y

Other Questions
The Rockwell hardness index for steel is determined by pressing a diamond point into the steel and measuring the depth of penetration. For 50 specimens of a certain type of steel, the Rockwell hardness index averaged 62 with a standard deviation of 8. The manufacturer claims that this steel has an average hardness index of at least 64. Test this claim at the 1% significance level? A circle with area 25pi has a sector with a central angle of 9/10pi radians. What is the area of a sector? Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal rounded to the nearest hundredth. I need help getting the answer to 1484 divided by 28 1 - IdentificarMultiple choice Activity Audio InstructionsSelect s or no to indicate whether the statements you hear are formal commands. December 13 2:45 PM 1 attempt remaining Grade settings External referencesGrammar presentation Tutorial 104-107 Questions Modelo You hear: Saque la basura. You select: S because Saque is a formal command. 1. no s 2. no s 3. no s 4. no s 5. no s 6. no s 7. no s 8. no s 9. no s There were no geologists alive when the Bright Angel shale layer formed. However, scientists have been able to determine that this rock formed near the shore of an ocean. What evidence could geologists use today to find out about this ancient rock layer? Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal. Find the midpoint of the line segment (-5,-8), (-7,3) The increased use of the Internet presents a lot of potential for which types of businesses? When an insured decides to change her mode of premium payment from annually to monthly, the total premium due would:A. FluctuateB. IncreaseC. Remains the sameD. Decrease I WILL GIVE YOU A CROWNWhich statement is a main idea of The Most Famous Woman in America?Barton is shy and uncomfortable when speaking in public.As a child, Barton becomes an expert horseback rider and skilled athlete and uses these skills to fight during the Civil War.During the Civil War, Barton saves lives by convincing the army to treat the wounded as close to the battlefield as possible.Barton leads army doctors and surgeons in treating soldiers. Which person expressed ideas most clearly in conflict with the action taken by Queen Elizabeth in this passage? A) Adam Smith B) Thomas Pitt C) James I D) Thomas Hobbes Which kinds of intelligences would be measured on a test devised by Howard Gardner? The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50 for 30 employees, how much does a company picnic cost for 80 employees? ANSWER ASAP PLEASEEE The amount of money in an account can be determined by the formula A re where is theinitial investment, r is the annual interest rate, and tis the number of years the money wasinvested. What is the value of a $5000 investment after 18 years, if it was invested at 4% interestcompounded continuously? It is estimated that there are 34 deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells. One-year-old Danny is fascinated with flushing the toilet and throwing different objects down the bowl. Flushing to see the water go down is called a(n) ________. The fact that Danny is expecting to see things reappear again after they are out of sight shows he understands the basics of ________. In general, the habit of repeatedly flushing is called a(n) ________. An object called "House" is related to Opportunity, there can be many Houses per Opportunity. On houses, we have a field named "Square feet". We need to show the total of Square feet for all houses on each Opportunity. What type of relationship should we have? DiscussA. LookupB. Master detailC. JunctionD. Cross object ___________ refers to the period of juvenile corrections in which reformers urged the creation of institutions where delinquent, abandoned, abused, and neglected children could live in a healthy environment, learn good work and study habits, and develop character.1. Juvenile rights2. Refuge3. Puritan4. Crime control What happens to those who commit Thoughtcrime? Why the shot in the back of the neck? Book:1984 For a _____ conviction of a DUI you could pay a fine of not less than $500 and not more than $1,000.A. First B. Second C. ThirdD. Fourth