Solve for the value of V. (9v-3)° (8v+8)°​

The graph of the function is given.

To find the domain and range of the function,

The domain of the function is determined as the set of x-values that satisfies the function.

The range of the function is determined as the set of y-values that satisfies the function.

The domain from the graph is lies in the interval

The range from the graph is lies in the interval

Hence the correct option is D.

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

For more such questions on length, click on:

https://brainly.com/question/28322552

#SPJ8

Answer:

9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The change represents growth and rate of increase is 4.2%

Exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change.

Given that, an exponential function y = 970(1.042)ˣ

When the growth rate is greater than 1, then the function represents a growth.

The general form equation is:

y(x)= a(1+r)ˣ such that r is the growth percent.

So,

1+r = 1.042

r = 0.042

r = 4.2%

Hence, the growth rate is 4.2%

For more references on Exponential functions, click;

https://brainly.com/question/14355665

#SPJ1

To solve for the volume of a rectangular prism, we could use the following formula:

\(V=l*w*h\)

Although we typically use this formula to solve for the volume, we could also use it to determine any of the variables above. All we have to do is rearrange the equation to isolate what we need to find.

We're given:

First, rearrange the volume formula to isolate width (w):

\(V=l*w*h\)

⇒ Divide both sides by \(l*h\):

\(\dfrac{V}{l*h}=\dfrac{l*w*h}{l*h}\\\\\dfrac{V}{l*h}=w\\\\w=\dfrac{V}{l*h}\)

⇒ Plug in the given values for V, l and h:

\(w=\dfrac{1144}{8*13}\\\\w=11\)

Therefore, the box is 11 ft wide.

The box is 11 ft wide.

Answer:

(A) 11 ft.

Step-by-step explanation:

got it right

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

\(\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5\)

We know

if x=√a+√b then

\(\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2\)

\(\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25\)

\(\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2\)

\(\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}\)

\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}\)

\(\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}\)

\(\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4\)

\(\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0\)

The equation has no real solutions .(attached a pic of calculator )

Answer:

\({ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}\)

• let's first collect like terms

\({ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}\)

• Then, let's take a square:

\({ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}\)

Answer: x = 3(-1 + i) or 3(-1 - i)

Answer:

the answer is 10832

Step-by-step explanation:

you can use a calculator

Answer:

10832

Step-by-step explanation:

Add one digit at the time (from right to left):

1 + 1 = 2

0 + 3 = 3

8 + 0 = 8

8 + 2 = 10

Now we get 10832

3457×223​ = 770911 from multiplication from vertical column method.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

As per the given data:

We have to use the vertical column method of multiplication to calculate, 3457×223​.

Multiplication from vertical column method:

       3 4 5 7

×         2 2 3

+     1 0 3 7 1

+     6 9 1 4  

+   6 9 1 4    

=  7 7 0 9 1 1

Hence, 3457×223​ = 770911 from multiplication from vertical column method.

To know more about multiplication, please refer to the link:

brainly.com/question/12794729

#SPJ9

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

For more such questions on line.

https://brainly.com/question/280216

#SPJ8

Answer:

the last one

Step-by-step explanation:

there is no rhythm

While the new helmets decrease the probability of injury resulting from a scooter accident, but they also incentivize individuals to ride more recklessly, which could increase the number of scooter collisions and therefore injuries to renters.

The reason for the above statement is based on the concept of risk compensation. When the perceived risk of an activity is reduced, individuals may engage in more risky behavior. For example, if individuals believe that wearing a helmet makes them safer while riding a scooter, they may feel less concerned about the potential consequences of riding recklessly, leading to an increase in the number of accidents. On the other hand, the helmet does decrease the probability of injury in the event of a crash, but an increase in the number of crashes could lead to an overall increase in the number of injuries, offsetting the protective effect of the helmets. Therefore, the net impact of the new helmets on the number of scooter injuries is unclear, and further study is needed to determine their overall effect.

Read more about Risk Compensation:

https://brainly.com/question/28234991

#SPJ4

A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.

To learn more about airplane
https://brainly.com/question/29285205
#SPJ1

Given the equation:

x + 4y = -12

To write this equation ain function format take the following steps:

• Step 1

Rewrite the equation in terms of y:

x + 4y = -12

4y = -x - 12

Divide through by 4:

• Step 2:

Replace the y, with f(x)

This means that the function depends on x.

f(x) is the output depends on the input x.

Therefore, the equation in function format is:

ANSWER:

Answer:

\( \frac{29}{19} \)

Step-by-step explanation:

Hopefully that is correcr

Answer:

Step-by-step explanation:

(2x - 5)° + 45° = 180°

2x - 5 + 45 = 180

x = 70

Answer:

3.457 is already in standard form.

Step-by-step explanation:

The answer is 140 because 14 x 10 is 140

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

Read more about place value at

https://brainly.com/question/25137147

#SPJ1

The number of bears that the researcher should be expected to see in the larger central Pennsylvania forest with about 1,000 total animals is given as follows:

95 bears.

To obtain the number of bears in the larger forest, first we must obtain the proportion in the smaller forest.

The proportion is given by the number of bears divided by the total number of animals, both of these amounts given by the bar graph presented at the end of the answer.

The number of bears is given as follows:

20.

The total number of animals is given as follows:

20 + 70 + 30 + 90 = 210.

Meaning that the proportion of bears is of:

20/210.

Hence, out of 1000 animals, the expected number of bears is of>

20/210 x 1000 = 20000/210 = 95 bears.

The bar graph is given by the image presented at the end of the answer.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

An inequality relating 100n and n³ is 100n ≥ n³ for n ≤ 10 and 100n ≤ n³ for n ≥ 10.

An inequality is comparison of  two values, showing if one is less than, greater than, or simply not equal to another value.

Since 100n and n³ for n = 1, 2, 3, . . . 9, 10, 11 are 100, 200, 300, . . . 900, 1000, 1100 and 1, 8, 27, . . . 729, 1000, 1331 respectively.

Therefore, an inequality relating 100n and n³ will be 100n ≥ n³ for n ≤ 10 and 100n ≤ n³ for n ≥ 10.

Induction hypothesis:

Suppose 100n ≤ k³ for some positive integer k ≥ 10.

We need to show that 100( k + 1 ) ≤ ( k + 1 )³ = k³ + 3k² +3k + 1.

Note 100( k + 1 ) = 100k + 100 ≤ k³ + 100

                                                 ≤ k³ + 3k²    (∵ k ≥ 10 )

                                                 ≤ k³ + 3k² + 3k

                                                 ≤ k³ + 3k²+3k + 1

So 100( k + 1 ) ≤ ( k + 1 )³, which is true.

Hence by the principle of mathematical induction, 100n ≤ k³ for every integer  k ≥ 10.

Know more about inequality here:

https://brainly.com/question/20383699

#SPJ1

Answer:

Hey mate.....pls attach the pic..........

Recall that two terms are called like terms if the variables in the terms are the same and have the same exponents, meaning they can be added or subtracted.

For example, 3x and 6x are like terms because the variable x is the same for both terms, and when adding those terms I get a simplified version of the expression:

Now, if instead, I have 3x and 6y, the variable is not the same, so when adding them I get:

there is no way to simplify the sum. 3x and 6y are not like terms.

Therefore, the only like term to 3 in the given options is 7.

Answer: 3 and 7 are like terms.

Answer:

14 is the GCF of both 98 and 70

Answer:

  40% (high)

Step-by-step explanation:

You want to know the percentage error when an actual value of 1.5 L is estimated to be 2.1 L.

The percentage error is given by ...

  (percent error) = (estimate/actual - 1) × 100%

  percent error = (2.1/1.5 -1) × 100%

  = (1.40 -1.00) × 100% = 0.40 × 100%

  = 40%

The student's estimate is 40% too high.

Answer:

v = −4/−24x+3

Step-by-step explanation:

Let's solve for v.

3v(1/8−x) = −1/2

Step 1: Factor out variable v.

v(−24x+3/8) = −1/2

Step 2: Divide both sides by (-24x+3)/8.

v(−24x+3/8)/−24x+3/8 = −1/2/−24x+3/8

v=−4/−24x+3