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castortr0y [4]
2 years ago
7

Please tell me what is (7+3x)4

Mathematics
2 answers:
Savatey [412]2 years ago
5 0

Answer:

28+12x

Step-by-step explanation:

Multiply 7 with 4

Multiply 3x with 4

puteri [66]2 years ago
4 0

Answer:

28+12x

im pretty sure that is right

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If my parents give a waiter a 15% tip if the total amount of lunch was 42.00 what should be paid to the waiter as a tip
hodyreva [135]
Tip = 15/100 x 42 = $6.3
7 0
3 years ago
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Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
How much sand would you need to fill this box ?
grin007 [14]

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

volume(v) = l \times b \times h

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

3 0
2 years ago
In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle<em> F.</em>

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

\tan \theta=\frac{opposite}{adjacent}

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}

Hence, the value of angle <em>F</em> is 29 degree.

3 0
1 year ago
What is the equation of the following line? Be sure to scroll down first to see
andriy [413]

Answer:

y = 6x + 0

Step-by-step explanation:

Equation of a line

y = mx + c

Given

( 0 , 0) ( -1/2 , -3)

find the slope m

m = y2 - y1 / x2 - x1

x1 = 0

y1 = 0

x2 = -1/2

y2 = -3

Insert the values

m = y2 - y1 / x2 - x1

m = -3 - 0 / -1/2 - 0

= -3/-1/2

Minus cancels minus

= 3/1/2

= 3/1 ÷ 1/2

= 3/1 × 2/1

= 6/1

= 6

m = 6

Substitute any of the two points given into the equation of a line

y = mx + c

Where

y - intercept point y

x - intercept point x

m - slope of the line

c - intercept

(-1/2 , -3)

x = -1/2

y = -3

-3 = 6(-1/2) + c

-3 = -6/2 + c

-3 = -3 + c

-3 + 3 = c

c = 0

y = 6x + 0

The equation of the line is

y = 6x + 0

6 0
3 years ago
Read 2 more answers
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