You notice a hot air balloon descending. The elevation h
(in feet) of the balloon is modeled by the function h(x)=−8x+360,
where x
is the time (in seconds) since you first noticed the hot air balloon.

Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.

Answer:

  1

Step-by-step explanation:

The distance between any two numbers on the number line is their difference:

  3 - 2 = 1

_____

Any two consecutive integers have a distance between them of 1 on the number line.

Answer:

Step-by-step explanation:

Given

To find

Solution

Answer:The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively. Now, let’s see how to calculate the area of a triangle using the given formula.

Step-by-step explanation:

Answer:

x = -1/5

Step-by-step explanation:

*Steps as a proof*

_________

(-4x + 5)-(6x + 7) = 0

[given]

_____________

1(-4x + 5)-1(6x + 7) = 0 [identity property of multiplication]

1(-4x + 5) + -1(6x + 7) = 0. [additive inverse property]

___________________________________

1(-4x + 5) + -1(6x) + -1(7) = 0 [distributive property]

___________________________________

(-4x + 5) + (-6x - 7) = 0 [multiplying anything by 1 is the same]

___________________________________

(-4x + -6x) + (5 + -7) = 0 [associative property of addition]

_____________________________________

-4x + -6x + (5 + -7) = 0 [subtraction property of equality] - (5 + -7). - (5 + -7)

_______________________

-4x + -6x = -(5 + -7) [simplification]

-4x + 6x = -1(5 + -7) [identity property of multiplication]

-4x + -6x = -1(5) + -1(-7) [distributive property]

-4x + -6x = -5 + 7 [simplification]

-4x + -6x = 2 [simplification]

-10x = 2 [division property of equality]

÷10 ÷10

______

-x = 2/10 [negative one property of multiplication]

×-1 ×-1

x = -2/10 [simplification]

x = -1/5 [simplification]

__________________________

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The square roots are approximately ...

  √5 ≈ 2.23

  √17 ≈ 4.12

  √56 ≈ 7.48

  √88 ≈ 9.38

  √118 ≈ 10.86

These are plotted below.

Answer:

its 48

Step-by-step explanation:

Answer:

it's 40

Step-by-step explenation

dont need one the people have brains

Answer:

0.3

Step-by-step explanation:

You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.

Hope this helps!

I think that chart is a bit overdue or inaccurate xd

Answer:

x=800

Step-by-step explanation:

2000=all sides

two sides are 200 &200 =400

the other two are 2000-400=1600

1600/2=800 each

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Answer:

5 pizzas

Step-by-step explanation:

18-12=6 each pizza with card saves 6$

$25 card cost÷$6 savings per pizza=4.16 pizza to break even. round up since cant buy fraction of pizza.

check

5 pizza with card 12 *5=60

60 + 25 = 85 spent in total

$5 *$18 = $90, no discount

4 pizza would be 73 with discount and 72 without

Answer:

1) Shirt = $28.20  Jeans = $42

2) subtotal = $105.20

3) with the discount from the coupon, the pre-tax cost is $83.90

4) about $ 88.10 (actual answer was $88.095)

5) i have no clue bro, im sorry

Step-by-step explanation:

The sale price of the shirt  is [tex]\$28.20[/tex] The sale price of the jeans  [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost  [tex]\$78.90[/tex] The total amount charged with 5% sales tax is  [tex]\$42.00[/tex]

The sale price of the shirt:

Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:

The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]

The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]

The sale price of the shirt =[tex]\$28.20[/tex]

The sale price of the jeans:

Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:

The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]

The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]

The sale price of the jeans = [tex]\$42.00[/tex]

Subtotal of the shirt, jeans, and shoes:

Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes

Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00

Subtotal =[tex]\$[/tex]105.20

The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:

The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:

Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]

Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]

Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]

Pre-tax cost = [tex]\$78.90[/tex]

The total amount charged with 5% sales tax:

To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:

Sales tax = [tex]5\% \times Pre-tax cost[/tex]

The Total amount charged = Pre-tax cost + Sales tax

The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]

The total amount charged = [tex]\$78.90 + \$3.94[/tex]

The total amount charged =[tex]\$82.84[/tex]

The credit card payments for months are;

Payment | Balance | New Balance | Interest | Remaining Balance

Month 1 |    $10.00 | $72.84 |   $1.46 |  $71.46

Month 2 |    $10.00 | $61.46 | $1.23 | $60.69

Month 3 |  $10.00 | $50.69 | $1.01 | $49.70

Month 4 |   $10.00 | $39.70 | $0.79 | $38.49

Month 5 |   $10.00 | $28.49 | $0.57 | $27.06

Month 6 |    $10.00 | $17.06 | $0.34 | $16.40

Month 7 |    $10.00 | $6.40 | $0.13 | $6.53

Month 8 |   $6.53 | $0.00 | $0.00 | $0.00

The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.

Learn more about sales tax here :

https://brainly.com/question/29442509

#SPJ2

Answer:

[tex]Probability = \frac{70}{143}[/tex]

Step-by-step explanation:

Given

[tex]Black = 5[/tex]

[tex]Red = 8[/tex]

[tex]Total = 13[/tex]

To solve the required probability, we need to determine the number of available selections:

There are two possible scenarios;

1: All 4 selections are red.

2. 1 selection is black, while 3 others are red

Scenario 1: All Red

[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]

[tex]^8C_4 = \frac{8!}{4!4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]

[tex]^8C_4 = \frac{1680}{24}[/tex]

[tex]^8C_4 = 70[/tex]

Scenario 2: 1 Black, 3 Red

Selecting Black:

[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]

[tex]^5C_1 = \frac{5!}{4!1!}[/tex]

[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]

[tex]^5C_1 = 5[/tex]

Selecting Red:

[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]

[tex]^8C_3 = \frac{8!}{5!3!}[/tex]

[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]

[tex]^8C_3 = \frac{8*7*6}{6}[/tex]

[tex]^8C_3 = 8*7[/tex]

[tex]^8C_3 = 56[/tex]

Number of Selection = 5 * 56

[tex]Selection = 280[/tex]

Total Available Selection is calculated as thus:

[tex]Available\ Selection = 70 + 280[/tex]

[tex]Available\ Selection= 350[/tex]

Next, is to calculate the number of possible selections:

i.e 4 balls out of 13

This is calculated as:

[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]

[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]

[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]

[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]

[tex]^{13}C_4 = \frac{17160}{24}[/tex]

[tex]^{13}C_4 = 715[/tex]

[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]

[tex]Probability = \frac{350}{715}[/tex]

[tex]Probability = \frac{70}{143}[/tex]

Answer:

add 4

Step-by-step explanation:

Step-by-step explanation:

Let the smaller number be x.

So, according to Question,

the larger number will be 1+4x.

Now, sum of the numbers is 61, like this:-

[tex]1 + 4x + x = 61[/tex]

[tex]5x = 61 - 1[/tex]

[tex]5x = 60[/tex]

[tex]\tt{x = \dfrac{60}{5}}[/tex]

[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.

Hope it helps :)

Answer:

90° counterclockwise rotation

Step-by-step explanation:

I just took the quiz and got it correct,

Hope this helps.

Answer:

answer above is correct

Step-by-step explanation:

Answer:

946 mm

Step-by-step explanation:

(332*2)+(141*2)

Answer:

Step-by-step explanation:

[tex](x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\[/tex]

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

Answer:

Yes

Step-by-step explanation:

The lines in question have no degree angle to them. Don't let the line in the middle confuse you!

Hope this helps!

Answer:

4+(9*6)^2-1

Step-by-step explanation:

Step-by-step explanation:

3x + 2y + z = 140

2x + 2y + 2z = 170

x + 3y + 2z = 180

Answer:

6x-16

Step-by-step explanation:

2(3x-8)

distribute the 2

2 x 3x = 6x

2 x -8 = -16

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]

[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]

[tex]AC \times sin(45) = 9 \times sin(75)[/tex]

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]

Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]

 Area of the triangle ABC = 47.81 sq. unit

Answer:

c

Step-by-step explanation:

Answer: Option C

(C) or Taable 3

Step-by-step explanation:

Answer:

Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.

Step-by-step explanation:

Least Common Multiple (LCM)

Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.

Gift bags are sold in packs of 6. Bows are sold in packs of 9.

List the prime factors of 6: 2,3

List the prime factors of 9: 3,3

Multiply: 2*3*3=18

The  LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.