Which of the following pairs of functions are inverses of each other?​

Answer:

-6

Step-by-step explanation:

-6, -7, -8... and so on are less than -5

Answer:

-6, -7, -8... etc.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

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The reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3\frac{1}{3}\\\\= \frac{10}{3}\\\\= \frac{3}{10}[/tex]

Therefore we can conclude that the reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].

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Answer:

m, p

Step-by-step explanation:

Answer:

not proportinal hope it helps you

Answer:

Jaime is _48_years old, and Savannah is _32_ years old.

Step-by-step explanation:

Jaime is 16 years older than Savannah

Ten years ago, the sum of ages = 60.

(60-16)=22

Ten years ago, Jaime=22+16=38y but now Jaime is 48 (38+10)

Ten years ago, Savannah = 22y but now Savannah is 32y (22+10)

hope this helps

Answer:

2.5 hours or 2 hours and 39 min

Step-by-step explanation:

22.50/9

Answer:

3

Step-by-step explanation:

It would take.him.about 3 years

Answer: y = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

y−18=6(2−3y+10)+y

Step 1: Simplify both sides of the equation.

y−18=6(2−3y+10)+y

y+−18=(6)(2)+(6)(−3y)+(6)(10)+y(Distribute)

y+−18=12+−18y+60+y

y−18=(−18y+y)+(12+60)(Combine Like Terms)

y−18=−17y+72

y−18=−17y+72

Step 2: Add 17y to both sides.

y−18+17y=−17y+72+17y

18y−18=72

Step 3: Add 18 to both sides.

18y−18+18=72+18

18y=90

Step 4: Divide both sides by 18.

18y    90

18 =   18

y = 5

Answer:

3060 ducks

Step-by-step explanation:

There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.

If we do the first method, we have

[tex]P=200*1.02(15)\\P=3060[/tex]

So the population in 2025 is 3060 ducks.

We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.

Hope this helps!

Answer:

16 inches

Step-by-step explanation:

you would do 24-8 and get 16

Answer:

Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?

A.) more-efficient extraction techniques

Step-by-step explanation:

To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.

Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.

To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

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Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

Answer:

answer is 82 feet

Step-by-step explanation:

perimeter is sun of all sides = 20 +9 +13+ 7 +12 + 21 = 82 feet

hope this will help you ...

Answer:

32,100 Millimeters

3,210 Centimeters

3.21 Decameters

Hope It Helps

Step-by-step explanation:

One example I've seen many times when I walk in the park, or just outside my house, is the pattern on the back of a moth. Here's an example of one. I hope this helps.

Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

Expression: [tex] \frac{40}{y - 16} [/tex]

When y = 20, the value of the expression is 10.

Step-by-step explanation:

The expression for the phrase "difference of a number, y, and 16" is (y - 16).

Therefore, the quotient of 40 and the "difference of a number, y, and 16" would be written as:

[tex] \frac{40}{y - 16} [/tex]

Let's evaluate the expression when y = 20.

Substitute y = 20 into [tex] \frac{40}{y - 16} [/tex].

Thus:

[tex] \frac{40}{20 - 16} [/tex]

[tex] = \frac{40}{4} = 10 [/tex]

Answer:

the answer is 0.375

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  (C) f(x) = 5x +57

Step-by-step explanation:

Heart rate increases as speed increases, so only equations with a positive x-coefficient are of interest. It is pretty easy to see that ...

  f(x) = x+57

doesn't give ...

  f(4) = 77

However, the other reasonable choice is ...

  f(x) = 5x +57

which does give f(4) = 77.

Answer:

Its the upper limit and lower limit of the class

Answer:

You need to pay $1,759.50 if you get a 15% discount.

Step-by-step explanation:

100%-15%=85%

0.85x2,070=$1,759.50

Answer:

117

Step-by-step explanation: 143\11=13

then multiply 13 by 9 and that equals 117

Answer:

143÷11=13 so you take that as how much money he makes an hour and multiply that with 9 which 13×9=117

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

1, 2, 4, 5, 8, 10, 20, 40

Step-by-step explanation:

These number can all divide 40

Answer:

1 × 40 = 40.

2 × 20 = 40.

4 × 10 = 40.

5 × 8 = 40. Therefore, the factors in pairs are (1, 40), (2, 20), (4, 10) and (5, 8).

Step-by-step explanation:

These are the factors of 40

Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

Answer:

k = -55 x - 2 x^3

Step-by-step explanation:

Solve for k:

2 x^3 + 55 x + k = 0

Hint: | Solve for k.

Subtract 2 x^3 + 55 x from both sides:

Answer: k = -55 x - 2 x^3

3/2 is not a Root of this equation - see below, those are the Roots/Zeros.

Solve for x:

2 x^3 + 55 x + k = 0

Divide both sides by 2:

x^3 + (55 x)/2 + k/2 = 0

Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:

k/2 + 55/2 (y + λ/y) + (y + λ/y)^3 = 0

Multiply both sides by y^3 and collect in terms of y:

y^6 + y^4 (3 λ + 55/2) + (k y^3)/2 + y^2 (3 λ^2 + (55 λ)/2) + λ^3 = 0

Substitute λ = -55/6 and then z = y^3, yielding a quadratic equation in the variable z:

z^2 + (k z)/2 - 166375/216 = 0

Find the positive solution to the quadratic equation:

z = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)

Substitute back for z = y^3:

y^3 = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)

Taking cube roots gives (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) times the third roots of unity:

y = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) or y = -((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or y = ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)

Substitute each value of y into x = y - 55/(6 y):

x = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) - 55/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) or x = -(55 (-1)^(2/3))/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) - ((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or x = (55 ((-1)/6)^(1/3))/(sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3) + ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)

Bring each solution to a common denominator and simplify:

Answer: x = (6^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) - 55 6^(2/3))/(6 (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = -((-1)^(1/3) ((sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 (-6)^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = ((-1)^(1/3) ((-1)^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 6^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3))