Tom used the following steps to find the inverse of f(x), but he thinks he made an error.

Answer:  0.85 km

Step-by-step explanation:

Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.

Add.

0.6+0.25= 0.85 km

Answer:

5x>-18+5

5x>-13

5x/5>-13/5

x>-2.6

Answer:

number of ways to chose a three course meal is 90

Step-by-step explanation:

Given the data in the question;

Number of appetizer = 3

Number of soups = 5

Number of main courses = 3

Number of desserts = 3

Now,

Number of ways that appetizer can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that soups can be chosen = ⁵C₁ = 5!/(1!(5-1)!) = 5

Number of ways that main courses can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

Number of ways that desserts can be chosen = ³C₁ = 3!/(1!(3-1)!) = 3

So,

First we chose an appetizer, soup and main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Next,  we chose a dessert, a soup & a main course.

Number of ways will be;

⇒ 3 × 5 × 3 = 45

Total number of ways to chose a three course meal

⇒ 45 + 45 = 90 ways

Therefore, number of ways to chose a three course meal is 90

Answer:

90?

Step-by-step explanation:

Answer:

1. ⅔

2. 4/3

3. 3.14

4. Sphere

Answer:

[tex]y=-5x-6[/tex]

Step-by-step explanation:

Hi there!

In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

Now, to solve for b, plug in the given point (-2,4):

[tex]4=-5(-2)+b\\4=10+b[/tex]

Subtract 10 from both sides to isolate b:

[tex]4-10=10+b-10\\-6=b[/tex]

Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:

[tex]y=-5x-6[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

x^3/x^5

=x^3-5

=x^-2

=1/x^2

Answer:

7(2x+16)

Step-by-step explanation:

first, we look at the part where it says the sum of twice a number and 16

let's represent the number by using x. since it says twice a number, that would mean 2x.

when it says the sum of twice a number and 16, this means that we have to add them, so we would get 2x+16.

finally, in the beginning it says seven times the sum of twice a number and x, which would mean that we would have to multiple 2x+16 by 7.

answer:

7(2x+16)

Answer:

x = 70

Step-by-step explanation:

The total interior angle in a square, even with not a perfect square, adds to 360

Set your formula up as

360 = (x+15) + x + 115 + 90

360 - 115 - 90 - 15 = 2x

140 = 2x

140/2 = x

70 = x

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

10

step by step solution is in the pic...

Answer:

In 5 years the account will be $ 21,549.68.

Step-by-step explanation:

Given that Meg invested $ 16,000 in a savings account, if the annual interest rate is 6%, to determine how much will be in the account in 5 years for quarterly compounding, the following calculation must be performed:

16,000 x (1 + 0.06 / 4) ^ 5x4 = X

16,000 x 1,015 ^ 20 = X

16,000 x 1.34685500 = X

21,549.68 = X

Therefore, in 5 years the account will be $ 21,549.68.

Answer:

Step-by-step explanation:

A+?
P=$16,000
r=0.06
t=5

A=P(1+r/n)∧ nt

A=16,000(1+0.06/12)∧12⋅5

A=$21,581.60

Answer:

good night sweet dreams take care

.

please Mark me as a BRINLIEST

Answer:

A and B

Step-by-step explanation:

Answer:

A & B

Step-by-step explanation:

Answer:

-160 is the answer

Step-by-step explanation:

- × - = +

+ × + = +

so,-32-128

=-160

Answer:

acd

Step-by-step explanation:

Answer:

m<5= 75° Alternate angles are equal

m<6 = 180°-75°= 105 ° Angles on a straight line adds up to 180°

In a rectangle opposite sides are equal so AB= CD

2x+8= 3x+4

3x-2x=8-4 ( combine like terms, the signs will change since they are going over opposite sides)

x= 4

To solve for BC

AD= BC

x+17 ( we know that x=4)

4+17=21

Therefore BC= 21

Step-by-step explanation:

-12x < -12

-12x/-12= x

-12/-12= 1

x < 1

-12x < -12

Divide both sides by -12 and because you are dividing by a negative number you need to reverse the inequality sign.

The answer becomes x > 1

Answer:ppppppppp

poopy

Answer:21 then 34

Step-by-step explanation: its just correct lol

Answer:

The median is 10

Step-by-step explanation:

Answer:

(0.782, 0.85)

Step-by-step explanation:

Here

The sample size =  500

Number of favourable cases = 408

Confidence interval = 95%

Proportion of sample = 408/500 = 0.816

Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96

Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)

Substituting the given values we get –  

0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)

(0.782, 0.85)

Answer:

Its A

Step-by-step explanation:

You must distribute exponents outside of parentheses to each

A = -5^3 × 4^3

B = multiplies each by 3 then raises 1 to the third, very off

C = just multiplied each by 3

D = very off, added by 3

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

Answer:

3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

Answer:

3,619.1 cm^3

Step-by-step explanation:

[tex]V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115[/tex]

Answer:

11

Step-by-step explanation:

Using GEMDAS

G-Group

E-Exponent

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step 1: Substitute the value y=5 in the equation

35÷(5+2)+4

Step 2: Evaluate the equation by computing first the parenthesis

35÷(7)+4

Step 3: Next divide 35 by 7

(5)+4

Step 4: Add

=9

The answer is 9.

Answer:

Step-by-step explanation:

because i don't know if the 2 is with the 4 or not I have calculated both.

x/4 + 2 = 15

<=> x/4 = 13

<=> x = 13.4 = 52

x/(4+2) = 15

<=> x/6 = 15

<=> x = 6.15 = 90

Answer:

52

Step-by-step explanation:

[tex]\frac{x}{4} + 2 = 15[/tex]

The first step is to shift all number values to the right. To do this, subtract 2 from the equation.

This will give

[tex] \frac{x}{4} = 13[/tex]

Now, multiply the equation by 4.

Hence,

[tex]x = 13 \times 4 = 52[/tex]

Answer:

y = -1/4x + 6

Step-by-step explanation:

Answer:

y = -1/4x + 6

Step-by-step explanation:

Get y alone:

x + 4y = 24

-x = -x

4y = -x + 24

Divide:

4y = -x + 24

4 = 4

Distribute division:

y = -1/4x + 24/4

Reduce fractions:

y = -1/4x + 6