What’s the correct answer answer asap

From the given situation, we have that:

A) The linear equation is R(t) = 1970 - 24t.

B) 12 years from now, the total oil reserves will be 1682 billions of barrels.

C) Approximately 82.08 years from now.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

b = 1970, m = -24.

Hence the linear function is:

R(t) = 1970 - 24t.

For item b, the amount is of R(12), hence:

R(12) = 1970 - 24(12) = 1682.

12 years from now, the total oil reserves will be 1682 billions of barrels.

For item c, we have to solve for t when R(t) = 0, hence:

1970 - 24t = 0

24t = 1970

t = 1970/24

t = 82.08.

Approximately 82.08 years from now.

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The value of the logarithm log y = 7 for y will be e⁷.

We are given the logarithm problem as:

log y = 7

We need to solve this to find the value of y.

We will use the properties of logarithm for this.

So, we get that

⇒ e ^ log y = e ⁷

Solving it, we will get that:

⇒ y = e⁷

So the value of the logarithm log y = 7 for y will be e⁷.

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The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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To find the reflection of ΔABC in the x-axis, the points would move as follows:

Using the original coordinates, Δ A'B'C' is a reflection of Δ ABC in the line?

The triangles are?

The line of reflection Michael used is?

Reflection as used in geometry is the representation of an image in the mirror image copy. Reflection is done with respect to a line called line of reflection. Images formed are of equal distant to the line of reflection and the images are usually congruent.

Reflection as represented on a graph is most times in x axis or y axis. This axis shows the location of the line of reflection and it is very important when determining the position of the reflected image.

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Answer:

g(-7) = 57

Step-by-step explanation:

note: the editor will not let me use eff of x. I have to use g(x)

Equation

g(x) = -2x^2 -4x + 13

Comment

y is the same thing as g(x) so you are really being asked to find y,

Given

x = - 7

g(-7) means that x is -7

Solution

g(x) = -2(-7)^2 - 4(-7) + 13           Substitute x = - 7 on the right

g(x) = -2*49 + 28 + 13                 Combine

g(x) = -98 + 28 + 13

g(-7) = -57

The equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively

The functions are given as

Demand: p^2 + 16q= 1200

Supply function: 300 - p^2 + 10q

Rewrite the demand function as

p^2 + 16q - 1200 = 0

At equilibrium, demand  = supply

So, we have:

p^2 + 16q - 1200 = 300 - p^2 + 10q

Using a graphing calculator, we have:

p = 25.42 and q = 34.62

Hence, the equilibrium quantity and equilibrium price are 34.62 and 25.42 respectively

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Total balance in the account after 7 months is 2849.737$

It is given that Timothy deposits $2780.20 in a savings account

It is given that rate of interest is 4.3 % and it of the simple interest nature.

We are required to find the account balance of Timothy's account in 7 months

We know that formula of simple interest is given by

(principal x rate x time)/100

where principal is the amount put for investing

rate is the rate at which the person is going to earn

time is the time for which the amount is to be invested

Now the time that is given to us in the form of months and hence we must convert it into years form

1 year =12 months

therefore, 7 months = 7/12 years

Now applying this value to calculate the simple interest earned

Let the simple interest be 'SI'

principal = $2780.20

rate = 4.3%

time = 7/12 years

SI= (2780.20x 4.3 x 7)/100 x 12

   = 69.737$

The balance in Timothy's account will be original amount + the simple interest

Total balance after 7 months = 2780.20+69.737

                                                  =2849.937$

Hence total balance in the account after 7 months is 2849.737$

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Answer:

  k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

The area of a circle is given by the formula ...

  A = πr²

Then the area of the outer circle is ...

  A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

  A = π(8 cm)² = 64π cm²

The area of the whole donut is the difference of these areas:

  whole donut area = (196 -64)π cm² = 132π cm²

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

  shaded area = (300°/360°)×whole donut area

  shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

  k = 110

The number of sections of board that he can construct will be equal to 7.

We are given that:

A carpenter has 6 boards.

Length of each board = 7 / 8 yard long

Now, we will use multiplication.

Total length of cardboards available = 7 / 8 × 6 yards

Total length = 42 / 8 yards

Total length = 21 / 4 yards.

Now, 3/4 yard sections of board that he can construct will be:

Number of sections of board = 21 / 4 ÷ 3 / 4

Number of sections of board = 21 / 3

Number of sections of board = 7

Therefore, the number of sections of board that he can construct will be equal to 7.

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Answer: 106 students

Step-by-step explanation:

In a 1:2 ratio, we can see that there are 2x the amount of students with brown/black hair compared to students with blonde hair.

So taking 212 students, we can divide the number by half to get 106 students.

[tex]\frac{212}{2} = 106[/tex]

Answer:

1/4 of the dozen is broken

Step-by-step explanation:

Answer:i think its like 40 or sum like that mb-

Step-by-step explanation:

The temperature will be 44.2f when the plane reaches an altitude of 8,000ft.

So, there is a 1.2f drop in temperature for every thousand feet.

The plane is at 8000 ft then:

So,

The temperature at 8000 ft:

Therefore, the temperature will be 44.2f when the plane reaches an altitude of 8,000 ft.

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Answer:



Root 

Step-by-step explanation:

Answer:

The distance between (2,8) and (-6,-2)

is √100+64

Step-by-step explanation:

From the interquartile range of the distribution, the fences for non-outliers are given as follows:

The quartiles of the distribution are given as follows:

The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:

IQR = Q3 - Q1.

Outliers are given by:

For this problem, the IQR is:

IQR = 529.7 - 273.8 = 255.9.

Hence the fences are:

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Answer: 103. h<=2 or h>=12

105. No solution

107. -6<x<1

Step-by-step explanation:

103. |h-7|>=5

h-7>=5

h>=12

h-7<=-5

h<=2

h<=2 or h>=12

105. |2x-8|<-10 ==> No solution since absolute value functions are always positive.

107. |10+4x|<14

10+4x<14

4x<4

x<1

10+4x>-14

4x>-24

x>-6

-6<x<1

[tex]\Large\textbf{Twice a number x is this: \textsf{2x}}\\\\\\\textbf{The sum of that number and 14 is this: \textsf{x+14}}\\\\\\\textbf{2x\textgreater x+14}\\\\\textbf{x\textgreater14}[/tex]

The volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

We are given a prism.

It is a rectangular prism.

We are also given that it if 9 feet.

We need to find the volume of this rectangular prism.

V = w × h × l

where

w = width of the prism

h = height of the prism

l = length of the prism

Now, we are given that l = 9 feet

So, V = w × h × l

V = 9 w h

Therefore, we get that the volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

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Answer: 8, 13, 6, 12, 4, 13, 5, 13, 11, 19, 12, 17, 9, 16, 10, 13, 7, 14, 11, 20, 10, 18, 9, 16, 7, 15.

Step-by-step explanation:

¡Aquí tienes!

¡Espero que esto te ayude!

The value of MN is 14 when the Points L, M, and N are collinear.

As per the question statement, we are supposed to find the possible value of MN when the Points L, M, and N are collinear.

Also, LM=21 and LN=35

As LN is greater than LM, point M has to be in between L and N for practicality and question existence.

[tex]LM+MN=LN\\MN=LN-LM\\LN=35\\LM=21\\MN=35-21\\MN=14[/tex]

Hence final answer is MN = 14

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Answer: greater than

Step-by-step explanation:17.305[tex]\geq[/tex]17.066

Answer:

Yes

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

By joining the entry point of all three friends to form a triangle and then finding the centroid of this triangle , they can calculate the required point.

If Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby, the friends could calculate the point that is equidistant from all three gates by the equation [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)]

As per question statement, Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby.

We are required to determine to calculate the point that is equidistant from all three gates.

The required equation goes as  [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)],

Where, they will have to use the distance formula to find the distances in between which goes as [tex]D=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex], in the above mentioned equation.

Complete question: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates.

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Answer:

Yes.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The tenths place is 4 while 5.343 tenths place is 3

Hope It Helps

Sorry If I'm Wrong

answer: -0.9

correct me if I'm wrong

The probability of P(G1 and G2) will be 1/5.

The probability of at least one green will be 3/10.

The probability for P(G2) (G1) will be 1/100.

They're dependent event

G1= The first card drawn is green

G2= the second card drawn is green

The probability of P(G1 and G2) will be:

= 1/10 + 1/10

= 1/5.

The probability of at least one green will be:

= 1/10 + 1/5

= 3/10

The probability for P(G2) (G1) will be:

= 1/10 × 1/10

= 1/100

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If initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.

Given that the initial deposit is GBP 3000 and the rate is 3.5%.

We are required to find the number of years after which the amount will reach to GBP 9000.

Compound interest is basically the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Amount after compounding=P[tex](1+r)^{n}[/tex], where P is principal ,r is rate of interest and n is number of years.

The number of years can be calculated as under:

9000=3000[tex](1+0.035)^{n}[/tex]

3=[tex](1.035)^{n}[/tex]

[tex](1.035)^{32}[/tex]=[tex](1.035)^{n}[/tex]

By comparing both sides,we will get n=32.

Hence if initial deposit is GBP 3000 and the rate is 3.5%,then after 32 years it will reach to GBP 9000.

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If the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

Given,

The vertices of the triangle = J(-3,-5), K(-2,2) and L(1,-4)

We know,

In reflection in y axis (x,y)  will become (-x,y)

Then the vertices of the reflection in y axis = J(3,-5), K(2,2) and L(-1,-4)

Draw the triangle using the vertices.

Hence, if the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

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There is no linear relationship between t and d.

So, the student drives a car at 45 miles per hour, so travels 45 miles in an hour.

Therefore, there is no linear relationship between t and d.

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