Help help help math math math

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  [tex]\displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)[/tex]

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

Answer:

The 2 dollars has $1.80 more than the two dimes.

Step-by-step explanation:

2.00-0.20=1.80

Answer:

linear = 3x+y = 12, y = x/2 -3, y=x

nonlinear y = 6/x -2, y=3x³+5

Answer:

its 1/10

Step-by-step explanation:

You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.

[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]

[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

Step-by-step explanation:

the answer is shown in the photo

Answer:

HF = 14.9

Step-by-step explanation:

Answer:

119.32 miles

Step-by-step explanation:

radius=19 miles

circumference =2×3.14×19 miles

The circle's circumference 119.32 miles

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

GIven that,  radius of a circle is 19 miles

we know , circumference of circle = [tex]2\pi r[/tex]

                                                         = [tex]2\pi \cdot19[/tex]

                                                         = 38 (3.14)

                                                         = 119.32 miles

Hence, circle's circumference 119.32 miles

To learn more about the circle's circumference here:

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Answer:

32+24=8(4+3)

20+8=4(5+2)

100+75=25(3+4)

49+28=7(7+4)

32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option

Step-by-step explanation:

it's distributive property you multiply the numbers on the inside by the numbers on the outside.

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

Answer:

A on the surface of the river

Step-by-step explanation:

100 persent correct

Number be x

#1

[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]

#2

[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]

#3

[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]

#4

[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]

#5

[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]

#6

[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]

#7

[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

Answer:

The number generator is not fair. In most of the experiments, considerably less than 60% of the selected marbles are green.

Step-by-step explanation:

Run a significant number of times, a fair distribution should be a bell curve  centered on the 6 for 60%

Answer:

think answer is 0.5 each

Answer:

an = 1/4 * an-1

a1 = 2

Step-by-step explanation:

2, 1/2, 1/8, 1/32

To find the common ratio, take the second term and divide by the first term

1/2 ÷ 2

1/2 * 1/2

1/4

The common ratio is 1/4

1/2 * 1/4 = 1/8  and 1/8 *1/4 = 1/32

The first term is a1 so a1 = 2

an = the common ratio * an-1

an = 1/4 * an-1

Answer:

Below.

Step-by-step explanation:

The common ratio = 1/2 / 2 =  1/2 * 1/2 = 1/4.

Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4

an = 1/4 * an-1 is the answer.

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

[tex]V(X) = np(1 - p)[/tex]

In this problem:

The variance is given by:

[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]

Vertex = (-1, -13)

Step-by-step explanation:

[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]

Vertex = (h, k) = (-1, -13)

Answer:

B - y=−2.33333x+4 I think

Answer:

1248

Step-by-step explanation:

w = 24feet

L=2w+4feet that means L= 2*24+4 =52

aera is 24*52=1248

Answer:

x=4

Step-by-step explanation:

x+3=7

subtract 3 from both sides

simplify

Answer: is c. 1/25

the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong

The value of the function f(2) is -10.

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:

So,

f(-2) = 5(-2) = -10

Therefore,

The value of the function f(2) is -10.

Learn more about functions here:

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Answer:

[tex]x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1[/tex]

[tex]3x + 18 = 6x + 12[/tex]

[tex]18 = 3x + 12[/tex]

[tex]6 = 3x[/tex]

[tex]x = 6 \div 3 = 2[/tex]

[tex]x = 2[/tex]

[tex]972 = 4 \times 243 = 2^2 \times 3^5[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

y=−9/7x+18/7

Step-by-step explanation:

2x+7y+7x=18

9x+7y=18

Step 1: Add -9x to both sides.

9x+7y+−9x=18+−9x

7y=−9x+18

Step 2: Divide both sides by 7.

7y/7=−9x+18/7

y=−9/7x+18/7

Given :

To Find :

Solution :

[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]

Adding the like terms :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]

Transposing 9y to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]

Dividing both sides by 7 :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]

⠀

Therefore, the value of y = 18 – 9x/7 .