exponential functions
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Answer:

13

Step-by-step explanation:

12×7 = 84,

so the scale ratio is 1/7

now 91×1/7

= 91/7

= 13

Answer:

20 liters of gasoline

Step-by-step explanation:

Create a proportion where x is the amount of gasoline needed to travel 400 km:

[tex]\frac{8}{160}[/tex] = [tex]\frac{x}{400}[/tex]

Cross multiply and solve for x:

160x = 3200

x = 20

So, the car will use 20 liters of gasoline to travel 400 km.

Answer:

The car will use 20 liters of gas

Step-by-step explanation:

160KM/8L = 20KM per liter

400/20 = 20

Answer:

x + 3 = -6  or  x + 3 = 6

Step-by-step explanation:

Answer:

0.16 recurring

hope this helps!

Answer:

1\6

Step-by-step explanation:

[tex]\frac{-2}{3}+\frac{5}{6}=\frac{-4+5}{6}=\frac{1}{6}[/tex]

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

Answer:

25.04

Step-by-step explanation:

For this problem we have to use subtraction

If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time

So we get 25.04

Hope this helps! :D

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Explanation:

Picking any two negative numbers, then adding them, will result in some other negative number. This is why the set of negative numbers is closed under addition.

Examples:

-2 + (-3) = -5

-10 + (-14) = -24

-7 + (-9) = -16

This is because when you add two negatives, you're adding their positive counterparts. Going to the first example above, we would say 2+3 = 5 and then just make everything negative. There's no way to add two negative numbers, and get a positive result (and we can't get 0 either).

You can think of it in terms of money and debt. The -2 represents being 2 dollars in debt. Then adding on 3 more dollars of debt leads ultimately to 5 dollars overall in debt.

-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.

The number [tex]-\sqrt{100}[/tex] turns into -10 after simplification. We see that this number is both rational and an integer. The best place for it is inside the "integer" circle. Note how this circle is entirely in the "rational" rectangle. We do not place it in the "whole number" circle because whole numbers are not negative.

The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.

The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.

Check out the diagram below.

Answer:

[tex]y=-6x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Given the graph, we determine which points we could use. For example, we could use the two points [tex](0,2)[/tex] and [tex](1,-4)[/tex]:

[tex]m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-6x+b[/tex]

2) Determine the y-intercept (b)

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into [tex]y=-6x+b[/tex]:

[tex]y=-6x+2[/tex]

I hope this helps!

Answer:

3420 m

Step-by-step explanation:

when we say distance, we mean ground distance, right ? not air distance.

so, essentially, the angle from the straight line the plane could be going at that moment down to the touch down point on the landing strip is 58 degrees.

that means the angle of elevation (between the line to the touch down point and the height "line" of the airplane) is 90-58 = 32 degrees

the height of the airplane (= distance from ground) is 5473 m.

now, we also know that the angle between height and the ground connection to the touch down point is 90 degrees (as height is always meshed straight up/down).

so, we know even the third angle (at the touch down point between ground and the line to the airplane)

= 180 - 90 - 32 = 58 degrees.

if we imagine now a circle being drawn with the touch down point being center and going through the right- angle corner point on the ground right under the airplane, we see that the ground distance from that corner to the landing strip is the radius of that circle.

therefore, the height is tan() × r of the angle at the touch down point.

5473 = tan(58) × r

r = 5473 / tan(58) = 3420 m

Answer:

have a great day

god is great

Answer:

wow

Step-by-step explanation:

very interesting

Step-by-step explanation:

25 students like mango

35 students like Banana

37 students like Guava

Answer:

is the picture moving or am I tripping

Step-by-step explanation:

I think 1/4

Answer:

t = 7/-4 OR -1 3/4

Step-by-step explanation:

3(t - 3) = 5(2t - 1)​

3t - 9 = 10t - 5

(3t - 3t) - 9 = (10t - 3t) - 5

-9 = 7t - 5

-9 + 5 = 7t (- 5 + 5)

-4 = 7t

-4/-4 = 7t/-4

t = 7/-4 OR -1 3/4

hope it helps you.........

Answer:

hope this help you

God bless you

5 hours and 30 minutes ya que ambos trabajaran la mitad del trabajo

Answer:

A. 2/5

B.2/5

C. 3/5

D. 5/5=1

Answer:  Total Pay = 6X

Step-by-step explanation:  This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.

Pablo's rate is $6/hr.  Set X to the number of hours of tutoring.  Pablo's total pay would be:

Total Pay = 6X

Ansienidq

scsunacu

Step-by-step explanation:

Answer:

Given a cube with the side of 7 in

Base area:

Perimeter:

Height:

Lateral area:

Surface area:

Volume:

[tex]\\ \sf\longmapsto a^2=7^2=49in^2[/tex]

[tex]\\ \sf\longmapsto 4a=4(7)=28in[/tex]

As its a cube height=side=7in

[tex]\\ \sf\longmapsto 4a^2=4(7^2)=4(49)=196in^2[/tex]

[tex]\\ \sf\longmapsto 6a^2=6(7^2)=6(49)=294in^2[/tex]

[tex]\\ \sf\longmapsto a^3=7^3=343in^3[/tex]

Answer:

I think it should be 360 (C)

Answer:

c)360

Step-by-step explanation:

x−0.8x=72

0.2x=72

x= 72/0.2

answer=360

​

Answer:

28"

Step-by-step explanation:

the length of the other non-hypotenuse side =

√(53² - 45²) =√(2809-2025) =√784 = 28"

Using Pythagorean theorem

[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \rm\longmapsto P^2=53^2-45^2[/tex]

[tex]\\ \rm\longmapsto P^2=2809-2025[/tex]

[tex]\\ \rm\longmapsto P^2=784[/tex]

[tex]\\ \rm\longmapsto P=\sqrt{784}[/tex]

[tex]\\ \rm\longmapsto P=28[/tex]

Answer:

Point B :(6, 7)

Step-by-step explanation:

Point B:(x, y)

1= - 4+x/2

2= - 4+x

x=6

7.5= 8+y/2

15= 8+y

y=7

Answer:

a.8x^2+18x+9

8x^2+(9+2)x+9

8x^2+2x+9x+9

2x(4x+1)+9(x+1)

(2X+9)+(4x+1)+(x+1)

Answer:

∠1 = 5 degrees

∠2 = 85 degrees

Step-by-step explanation:

if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)

( x - 12) + 5x = 90

6x -12 = 90

6x = 90 + 12

6x = 102

x = 102/6

x = 17

Put 17 in both the angles instead of x

∠1 = ( x-12)

    = ( 17 - 12)

    = 5

∠2 = 5x

     = 5 (17)

      = 85

now you can even Cross-check

5 + 85

= 90 degrees

Cross-checked

Answer:

7

Step-by-step explanation:

Using the commutative property of addition

a+b = b+a

6+7=7+6