In a city in Ohio, the sales tax rate is 7%. What is the sales tax of a pillow that costs $8? *

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

Answer:

b = 12

Step-by-step explanation:

y = mx + b

b = 12

Answer:

the b is 12

Step-by-step explanation: y=mx+b

Answer:

12/20

Step-by-step explanation:

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

Let us use this fact to solve the question

∵ 3x - y = 19 ⇒ (1)

∵ 1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

∴ 3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

∴ b = 9.5

∴ The value of b is 9.5

Answer:

A

Step-by-step explanation:

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A - The Moon reflects light from the Sun.

Step-by-step explanation:

As the moon moves around the sun in a one month cycle, different parts of it are exposed to the sun. When it is exposed to the light from the Sun it is reflected and people on Earth could see it at night, and sometimes during the day as well.

Answer:

10.50

Step-by-step explanation:

Answer:

10.50

Step-by-step explanation:

multiply 10 by .5 and you get 50cents so add that to 10 and you get 10.50

Answer:

take the sticks and make the number 4 out of them

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer: m = 24.34

Step-by-step explanation:

first, move the constant to the right.

m = 9.74 + 14.6

then, simply calculate (add).

m = 24.34

Answer:

By 2034 Texas per capita income would reach at least $50,000

Step-by-step explanation:

Given;

[tex]I(t) = 27,992(1.017)^t[/tex]

Converting the given function to log;

[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]

(B) When I(t) = $50,000, the time "t" will become;

[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]

Thus, by 2034 Texas per capita income would reach at least $50,000

Answer:

A

Step-by-step explanation:

Answer:

(2) f(-2) = 3

Step-by-step explanation:

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180   The sum of all the angles in a triangle is 180 degrees.

60+5y=180  Combine like terms

5y=120  Subtract 60 from 180

y=24   Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

Answer:

Ana

Step-by-step explanation:

Given that:

Ana's location = −30feet below sealevel

Chuyen's location = − 12feet below sea level

Sea level = point 0 ;

-30 feets below sea level

A depth of - 30, below the water surface.

A depth of - 12 below sea level ; a depth of 12 feets below the water surface

-30 feets is farther below the water surface than - 12 feets

Hence, Ana is farther below the sea level than Chuyen

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

Answer:

±89

Step-by-step explanation:

..................

Answer:

2 1/8

Step-by-step explanation:

I don’t really understand your questio but my guess is 2 1/4

Answer:

Yes

Step-by-step explanation:

Answer:

2mx³+3x−5

Step-by-step explanation:

Answer:

9 plus 10 is 21

Answer:

19

Step-by-step explanation:

just add 9+10

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

Answer:

See explanation

Step-by-step explanation:

White light is composed of seven different wavelengths. This can easily be established by using a prism to separate the various wavelengths that constitute white light.

How come we get to tell if an object has a particular colour? We get to know colours because the observed colour of an object is the wavelength that is reflected by that object.

An object that absorbs all other wavelengths in the spectrum of white light but reflects red light will appear red to the eye.

Answer:

1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one

Step-by-step explanation:

hope this helped!

P.S. can i pls have brainlyist am trying to lv up thx! ;D

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

Answer:

c) 0.5284

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{p_s-p}{\sigma_p} \\\\where\ p_s=sample\ proportion,p=population\ proportion,\\\sigma_p=standard \ error=\sqrt{ \frac{p(1-p)}{n}},n=sample\ size\\\\ z=\frac{p_s-p}{\sqrt{ \frac{p(1-p)}{n}}} \\\\Given \ that\ n=50,p=40\%=0.4\\\\For\ p_s=0.35:\\\\z=\frac{0.35-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =-0.72\\\\For\ p_s=0.45:\\\\z=\frac{0.45-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =0.72[/tex]

Hence from the normal distribution table, P(0.35 < x < 0.45) = P(-0.72 < z < 0.72) = P(z < 0.72) - P(z < -0.72) = 0.7642 - 0.2358 = 0.5284

Answer:

2^-15

Step-by-step explanation: