Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. ​Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?


A. (45 + 62.5) ÷ 2.5 = x 7 years

B. 2.5x + 45 = 62.5 7 years

C. (45 + 62.5) ÷ 2.5 = x 43 years

D. 2.5x + 45 = 62.5 43 years

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

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[tex] \sf \huge \purple{SIMPLIFY}[/tex]

[tex] \sf{ \cos(0) \tan(0)}[/tex]

Convert tan to a fraction of sin and cos

[tex] \cos(0) \times \frac{ \sin(0) }{ \cos(0) } [/tex]

Do the reduction for the same expression

[tex] \sf \pink{ \sin(0)}[/tex]

The required expression is sin0°

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Simplify cos0° × tan0°

We know,

cos0° = 1

tan0° = 0

cos0° × tan0° = 0 × 1 = 0

Also, sin0° = 0

Therefore, cos0° × tan0° = sin0°

Hence, the correct option is sin0°

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Answer:

23.09 ft

Step-by-step explanation:

tan = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ tan 13 = [tex]\frac{x}{100}[/tex]

tan of 13 is 0.23086

⇒ 0.23086 = [tex]\frac{x}{100}[/tex]

multiply each side by 100

⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100

solve:

⇒ 23.0868

round to the nearest hundreth:

⇒ 23.09

Answer:

W = 32

Step-by-step explanation:

lol.

Answer:

2. c

3.

a. no

b. yes

c. yes

d. no

e. yes

I think this is right

4.

Part A;

5.4-3.1=D

Part B;

4.9+3.1=t

Part C:

1. 2.3

2. 8

I hope this helps!!!

Step-by-step explanation:

Answer:

just add all the number and divide them .

Answer:

im pretty sure its 170 inches long

Step-by-step explanation:

Answer:

176 Inches long.

Step-by-step explanation:

160 multiplied by .1 gets you 10% then add 160 to 16 to get 176.

Answer:The answer should be D based on the data given.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

80 devided by 20

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

Answer:

(0,0) r=5

Step-by-step explanation:

The guy above me

The answer is 62m, sorry I don’t have time to explain.

The question is incomplete:

The total distance of a race is 18.9 km.

If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?

Answer:

They will have 27 stations.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the total distance of the race by 0.7 that is the distance at which the volunteers will set up the water stations:

18.9/0.7= 27

According to this, the answer is that they will have 27 stations.

Answer:

hi hi hi

Step-by-step explanation:

hi hi

Answer:

okay since there isn't a picture to work with, im going to assume that there is a circle inscribed in a square with a side length of 28, and all the sides of the square are tangent to the circle.

So if you need the area of just the circle, that is 615.75 in^2

If you need the area of the square, but not including the circle 168.25 in^2

And if you need the area of the whole square 784 in^2

Step-by-step explanation:

It is most likely the second one, but answer based what you see in the diagram.

Step-by-step explanation:

I think Option A is your answer ☺️☺️☺️

Answer:

(edit) wait sorry i forgot slope-intercept form

Step-by-step explanation:

the answer should be y = - 4/3x - 2

Answer:

A and b

Step-by-step explanation:

it could also be c but it's definitely a and b

Answer:

Might be:

Safer

Rewards programs

More convenient

Online shopping

Step-by-step explanation:

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

​

Answer:

4

Step-by-step explanation:

The number of subsets of P simply refers to the power of the sets.

P(P) = 2^n(P)

where P(P) is the power of the set P

n(P) is the cardinality of set P

P(P) = 2^2 = 4

Answer:

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is - x² + y² - 14x - 8y + 40 = 0

Step-by-step explanation:

Given - The CB radio of a trucker covers the circular area of (7,4).

             Find the equation of that circle.

To find - Find the equation of that circle. Give your answer in both

              standard and general form.

Proof -

Given that,

Center of CB radio = (7, 4)

Point on the Boundary = (10, 0)

Now,

We know that radius, r is

r = [tex]\sqrt{(7-10)^{2} + (4-0)^{2} }[/tex]

 = [tex]\sqrt{(-3)^{2} + 4^{2} }[/tex]

 = [tex]\sqrt{9 + 16}[/tex]

 = [tex]\sqrt{25} = 5[/tex]

⇒r = 5

∴ we get

Standard form is - (x - 7)² + (y - 4)² = 5²

General form is -

x² + 7² - 2·7·x + y² + 4² - 2·4·y = 25

⇒x² + 49 - 14x + y² + 16 - 8y = 25

⇒x² + 65 - 14x + y²  - 8y = 25

⇒x² + 65 - 14x + y²  - 8y - 25 = 0

⇒x² - 14x + y²  - 8y + 40 = 0

So, the general form is -

x² + y² - 14x - 8y + 40 = 0

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

Answer:

0, -8, 2

Step-by-step explanation:

Opposite of 0 is still 0.

Opposite of 8 = -8

Opposite of the opposite of 2: -2 is the opposite, then the opposite of opposite is -(-2) = 2

Answer:

the volume is 50m^3

Step-by-step explanation:

The computation of the volume of the room is shown below:

As we know that

The Volume of the room = length × width × height

volume = 5m × 4m × 2.5m

= 50m^3  

Hence, the volume is 50m^3

Answer:

answer is 20+12x^6

Step-by-step explanation:

Multiply x^2+2x-3 by 2

length equals 2x^4+4x-6

simplify. 6x^5-6

multiply 2x2+3x+5 by 2

width equals 4x4+6x+10

simplify. 16+6x+10

simplify again. 26+6x

add length and width- 20+12x^6

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it

8×7=56

then subtract it from 100-56=44 so you lost 56 gallons in 8 minutes and there is 44 left.

Answer:

if you are dividing the 2 fractions the answers are below

Step-by-step explanation:

1. 0.24

2. 3.75

3. 0.44642857

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer