Given f(x) =10x-2x find f(7)

Answers

Answer 1
replace x with 7
 10(7) -2(7)

70 - 14

56

f(7) = 56

Related Questions

In the triangle below, which is equivalent to sinA?

Answers

1. By definition, you have:

 Sin(α)=Opposite/Hypotenuse

 2. Then, SinA is:

 SinA=BC/AC

 A is the angle in the vertice "A".
 BC is the opposite leg to the the angle A.
 AC is the hypotenuse of the triangle.

 3. By definition, you have:

 Cosα=Adjacent/Hypotenuse

 4. Then, CosC is:

 CosC=BC/AC

 C is the angle at the vertice "C".
 BC is the adjacent leg to the angle C.
 AC is the hypotenuse.

 5. Therefore, the answer is the last option:

 The equivalent to SinA is CosC
we have that

sin A=BC/AC

and 
cos C=BC/AC

therefore
sin A= cos C

the answer is cos C

Find an explicit formula for the arithmetic sequence 37, 74, 111, 148

Answers

a₁ = 37
a₂ = 74
d = a₂ - a₁ = 74 - 37 = 37

a(n) = 37 + 37(n-1)

Let us observe the given series 37,74,111,148

Here, the first term (a) = 37

Common difference(d) = 74-37 = 37

Hence, the given series is in Arithmetic progression.

Hence the nth term of the series is given by:

[tex] a_{n}=a+(n-1)d [/tex]

Substituting the values of 'a' and 'd'.

[tex] a_{n}=37+37(n-1) [/tex]

Therefore, it is the required explicit formula.

Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.

Answers

Hi there!

In order to solve this problem, we need to simplify. 

2 * 3x - 2 * 4 = 5x + 6
6x - 8 = 5x + 6
-8 = -x + 6
8 = x - 6
14 = x

x = 14

Charlie's answer was not stated, so I don't know whether he was correct or not ;)

Hope this helps!

Solve for x 16 = -2 -1

Answers

16x= -2 -1
16x= -3
divide both sides of the equation by 16
x= -3/16

Alternative form= -0.1875

Please answer. Confusing me. 20 points.

Answers

The answer is either x = -1 or x = 4.

Read the word problem. Cate has 10 dolls. Shelayna has 3 times as many dolls as Cate. How many more dolls does Shelayna have compared to Cate? What operations are needed to solve this word problem, and in what order should they be used? addition and subtraction, in that order
addition and division, in that order
division and subtraction, in that order
multiplication and subtraction, in that order

Answers

Cate has 10 dolls and since Shelayna has 3 times the number of dolls
Therefore to find how many dolls Shelayna has we have to first multiply 10 * 3
Thats 30 dolls
Then we have to find how much more Shelayna has compared to Cate, for this we need to find the difference between the number of dolls they both have. 
To find differences we have to subtract the number of dolls Cate has from the number of dolls Shelayna has, thats 30 - 10 = 20
Therefore the operations are multiplication and subtraction in order

Answer:

multiplication and subtraction in order

Step-by-step explanation:

Of the 50 shapes in a set, 20 of them are squares. In a circle graph, what would be the measure of the central angle for the section that represents squares?
A. 40 degrees
B. 108 degrees
C. 126 degrees
D.144 degrees

Answers

te measure of tge central angle for the section that represents squares would be 40 degrees

The triangles are similar. What is the value of x?

Answers

The value of x is 16. Each side from Triangle B is multiplied by 4 to achieve the amount in Triangle A.

Answer:

The value of x is [tex]16\ units[/tex]

Step-by-step explanation:

we know that

If two figures are similar , then the ratio of its corresponding sides is equal

In this problem

[tex]\frac{x}{4}=\frac{12}{3}=\frac{20}{5}[/tex]

therefore

[tex]\frac{x}{4}=4[/tex]

[tex]x=16\ units[/tex]

what does a^2+b^2=C^2 mean

Answers

A squared plus B squared equals c squared refers to a kind of math formula where you take 2 given points on a shape and try to find the third point.

The equation a² + b² = c² represents the Pythagorean theorem, which describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. For example, in a triangle with legs of 3 and 4 units, the hypotenuse would be 5 units.

The equation a² + b² = c² represents the Pythagorean theorem in mathematics. This theorem is used to describe the relationship between the lengths of the sides of a right triangle.

Pythagorean Theorem

In a right triangle:

a and b are the lengths of the legs (the two sides that form the right angle).

c is the length of the hypotenuse (the side opposite the right angle).

The theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides:

a² + b² = c²

This can also be expressed as c = √(a² + b²).

For example, if one leg of the triangle is 3 units and the other leg is 4 units, you can find the hypotenuse as follows:

3² + 4² = c²9 + 16 = 25c = √25 = 5

Question:

what does a^2+b^2=C^2 formula mean ?

Susan bought a 2 kg bag of grapes on the way home she ate 125 g of the grapes how many grams of grapes that she have left

Answers

There are 1,000 grams in a kilogram and she has two kilograms, so there are 2,000 grams. She eats 125 of them so you subtract 125 from 2,000 and you get 1875. She has 1875 grams left of grapes.

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes. What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number? *** Answer with number only***'

Answers

Sean's average typing speed is 167 words per minute.

What's the recursive formula?? help!

Answers

The answer would be A. The a1 would always be the first number, so -4. The one below it would be the function.

What is the value of n?

Enter your answer in the box.

n =

Answers

The answer is n = 4 I took the test. 

Answer:

The value of n is 4.

Step-by-step explanation:

Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then

[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]

Using the theorem of intersection of two cords, we get

[tex](n-2)\times 16=8\times (n+8)[/tex]

Use distribution property,

[tex]16n+32=8n+64[/tex]

[tex]16n-8n=64-32[/tex]

[tex]8n=32[/tex]

Divide both sides by 8.

[tex]n=\frac{32}{8}[/tex]

[tex]n=4[/tex]

Therefore the value of n is 4.

Select the scenarios that correctly represent the given graph.

Answers

Answers: The correct choices are the first two choice.

The graph shown is an exponential graph. From the first point to the second, it increase from 100 to 150. This is a 50% increase. This pattern continues throughout the chart.  

The first two choices give an increase of 50%. Or 1.5 times larger.

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).

The general form of an exponential function is

[tex]y=ab^x[/tex]            .... (1)

Where, a is the initial value and b is growth rate.

The initial value is 100 because the y-intercept of the graph is 100.

The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.

[tex]150=100b^1[/tex]

Divide both the sides by 100.

[tex]1.5=b[/tex]

The value of b is 1.5.

Substitute a=100 and b=1.5 in equation (1).

[tex]y=100(1.5)^x[/tex]

It means the value is 1.5 times larger in every unit of time.

It can be written as

[tex]y=100(1+0.5)^x[/tex]

It means the initial value increased by 50% per unit of time.

So, the required scenarios are

1. The amount of money in a bank account increased by 505 per year.

2. The amount of a substance is one and a half times larger after every minute.

Therefore the correct options are 1 and 2.

The temperature of a cup of coffee t minutes after it has been poured is described by the function
C(t) = 20 + 60(0.95)^t .
a. How many minutes does it take for the coffee to cool to a temperature of d degrees?
b. About how fast is the temperature dropping when t = 1?

Answers

a) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min

Which out of these 2 "graphs" represent a proportional relationship? PLEASE HELP

x f(x)
–1 –2
0 0
1 2
4 8




x f(x)
–2 2
0 4
2 6
3 7

Answers

the bottom one since as x increases so does y. the top function doesn't since it's a quadratic. meaning it decreases and hen increases
I believe the second option, (-2.2)-(3,7), is proportional because it increases up one over one everytime if you draw it. 

The value of a textbook is $120 and decreases at a rate of 12% per year. Write a function to model the situation and then find the value of the textbook after 9 years.

Answers

120(0.12) = $14.40

After the first deduction, the book now costs $105.60.

It decreases $14.40 per year.

Do this for 8 more years.

This should give you what you need to form the needed function modeling the situation.

To model the depreciation of a textbook initially worth $120 with a 12% annual decrease, use the function V(t) = 120 x (1 - 0.12)^t. After 9 years, the textbook's value will be approximately $38.24.

The student asks for a function to model the depreciation of a textbook and the value of the textbook after 9 years. The textbook costs $120 initially and depreciates at 12% annually. To model this, we can use an exponential decay function, which is generally of the form V(t) = V_0  imes (1 - r)^t, where V(t) is the value after time t, V_0 is the initial value, r is the rate of decay, and t is time in years.

Plugging in the given values:

V_0 = $120

r = 0.12 (12% as a decimal)

t = 9 years

The function becomes V(t) = 120  imes (1 - 0.12)^t. Now, we find the value of the textbook after 9 years by substituting t with 9:

V(9) = 120 x (1 - 0.12)⁹

Calculate:

V(9) = 120 x (1 - 0.12)⁹
V(9) = 120 x 0.88^9
V(9) =120 x 0.318630...\approx $38.24

Thus, the value of the textbook after 9 years will be approximately $38.24.

In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?

A) 9
B) 15
C) 12

Answers

Answer:

15 feet

Step-by-step explanation:

Given : In this fulcrum, the weights are perfectly balanced.

To Find: How far must the fulcrum be located from the 60 pound weight if the bar is 24 feet long?

Solution:

To make the weights perfectly balanced torque must be equal

[tex]Torque = Force \times d[/tex]

Where [tex]Force = Mass \times Acceleration[/tex]

Let a be the acceleration

d= Distance between the pivot and the acting point.

Let x be the distance from 60 pound weight where fulcrum is located

Since we are given that Length of bar = 24 feet.

So,Distance of fulcrum from 100 pound weight = 24-x

Now torque for 60 pound weight :

[tex]Torque = 60a \times x[/tex]

Now torque for 100 pound weight.

[tex]Torque =100a \times (24-x)[/tex]

Now to maintain the equilibrium i.e. To make the weights perfectly balanced

[tex]60a \times x =100a \times (24-x)[/tex]

[tex]60x = 2400-100x[/tex]

[tex]160x = 2400[/tex]

[tex]x = \frac{2400}{160}[/tex]

[tex]x = 15[/tex]

Hence The fulcrum must be located 15 feet from the 60 pound weight if the bar is 24 feet long.

Answer:

15

Step-by-step explanation:

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasia's ownership percentage after the split?

Answers

the answer is the B one or 2%.

Answer:

2%

Step-by-step explanation:

A P E X

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth

Answers

20.40 [tex] ft^{2} [/tex]

When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: [tex] a^{2} + b^{2} = c^{2} [/tex]

A = 20 
B= 4
C = ?

This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40[tex] ft^{2} [/tex]

Answer:

20.40

Step-by-step explanation:

Test Yourself

^ please help me____________

Answers

All you have to do is take half of 6x, square it and add it to both sides. It will look like this. x^2+6x+9=16+9. Now all you do is simplify to get (x+3)^2=25.
x^2 + 6x - 16 =0
The two numbers that satisfy the condition quadratics have is
1. They must add to 6
2, They must multiply to - 16 

All quadratics have to satisfy these two things.
The only numbers that will are 8 and - 2
So the factors are
(x - 8)(x + 2) = 0
x - 8 = 0
x = 8

and

x + 2 = 0
x = - 2

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra

Answers

A. x + 5=12
7x = 21

B. b - 2/3 = 5/6
1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

Answer:

One step equations

3 + x = 5 ___x = 2

Y + 14 = 20____x = 6

Equations with Fractions

4/5q = 32___q = 40

3/4x = 6___x = 8

Equation with decimals

3.2x – 2.7 = 1.2x___x = 1.35

Equation with distributive Property

7x + 3 (x + 1) = 10x + 3

Infinitely Many solutions

Real World Problem

Monica knows that she should spend no more than  1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?

Hope This Helps!

Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who

Answers

The answer is that the meaning of reapers in the sentence is that "people who toil". This is a general name of a person that harvests a crop. They gather or cut those crop from a peace of land.

Answer:

people who toil

Step-by-step explanation:

The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.

A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been exponential, increasing at x percent per year. If the city's population at the beginning of 2000 was 108,193, at what percent per year to the nearest percent is the city's population increasing?

Answers

You can solve this analytically to get
.. 55000*(1 +x/100)^10 = 108193
.. (1 +x/100)^10 = 108193/55000
.. 1 +x/100 = (108193/55000)^(1/10)
.. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00

but I find it just as fast to have a graphing calculator do it.

The city's population is increasing 7% per year.

Calculate the averages for each category for the three-month period. category jan. feb. mar. average wages $2,100.00 $2,300.00 $2,000.00 $ donations $210.00 $230.00 $200.00 $ mortgage $590.50 $590.50 $590.50 $ electricity $101.25 $89.75 $80.00 $ water $20.10 $22.30 $24.55 $ car loan $172.54 $172.54 $172.54 $ food $200.25 $220.70 $205.50 $ insurance $310.50 $0.00 $0.00 $ clothes $0.00 $0.00 $75.00 $ car license fee $0.00 $120.90 $0.00 $ newspaper $0.00 $0.00 $45.00 $ movies $18.00 $0.00 $36.00 $ new car $100.00 $100.00 $100.00 $ gasoline $80.00 $70.00 $75.00 $ car repairs $0.00 $119.00 $0.00 $ miscellaneous $64.50 $59.25 $72.50 $ savings $140.00 $140.00 $140.00 $

Answers

the averages for each category can be calculated by taking the sum of the values and dividing by the number of values .                             
                                 Jan                           Feb                          March
1) 
wages                    $2,100.00                $2,300.00                $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
2)
donations                  $210.00                   $230.00                   $200.00
average = (210 + 230 + 200)/3 
              = $ 213.33
3)
mortgage                   $590.50                   $590.50                  $590.50
average = ( 590.50 + 590.50 + 590.50)/3 
              = $ 590.50
4)
electricity                   $101.25                     $89.75                     $80.00 
average = (101.25 + 89.75 + 80.00)/3
              = 271/3
              = $ 90.33
5)
water                           $20.10                     $22.30                     $24.55
average = (20.10 + 22.30 + 24.55)/3
              = 66.95/3
              = $ 22.32
6)
car loan                     $172.54                   $172.54                   $172.54
average = (172.54 + 172.54 + 172.54)/3
              = $ 172.54
7)
food                           $200.25                   $220.70                   $205.50 
average = (200.25 + 220.70 + 205.50)/3 
              = $ 208.82
8)
insurance                  $310.50                        $0.00                       $0.00
average = ( 310.50 + 0.00 + 0.00)/3
              = $ 103.50
9)
clothes                          $0.00                        $0.00                     $75.00
average = (0.00 + 0.00 + 75.00)/3 
              = $ 25.00
10)
car license fee              $0.00                    $120.90                       $0.00
average = (0.00 + 120.90 + 0.00)/3
              = $ 40.30
11)
newspaper                    $0.00                        $0.00                     $45.00 
average = (0.00 + 0.00 + 45.00)/3
              = $ 15.00
12)movies                        $18.00                        $0.00                     $36.00 
average = (18 + 0.00 + 36.0)/3
              = $ 18.00
13)
new car                     $100.00                    $100.00                   $100.00
average = (100 + 100 + 100)/3
              = $ 100.00
14)
gasoline                      $80.00                      $70.00                     $75.00
average  = (80.00 + 70.00 + 75.00)
               = $ 75.00
15)
car repairs                     $0.00                    $119.00                       $0.00
average = (0.00 + 119.0 + 0)/3
              = $ 39.67
16)
miscellaneous             $64.50                      $59.25                     $72.50
average = (64.50 + 59.25 + 72.50)/3
              = 196.25/3
              = $ 65.42
17)
savings                      $140.00                    $140.00                   $140.00
average = ( 140 + 140 + 140)/3
              = $ 140.00
 

Carl borroowed $2,500 for six months at an annual interest rate
of 11%. How much must he repay at the end of six months?
a. $275
b. $2,637.50
c. $87.50
d. $2,762.50

Answers

I think your answer is A. 
I hope I helped!


The pair of points is on the graph of an inverse variation. Find the missing value.

(1.6, 6) and (8, y)


0.83


30


0.03


1.2

WILL GIVE BRANLIEST ANSWER! HELP

Answers

The x-value increases by a factor of 5 from 1.6 to 8 between the two points. Because the variation is inverse, the y-value must decrease by a factor of 5 between the two points.

6/5 = 1.2

The second point is (8, 1.2), corresponding to the 4th selection.

Logan can paint a room in 12 hours. Marcus can paint the same room in 16 hours. How long does it take for both Logan and Marcus to paint the room if they are working together?

Answers

Hello,

The answer should be "4".

Reason:

Since Logan takes 12 hours and Marcus takes 16 i just subtract 16 and 12.

16-14=4

=4 hours

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

How do I find x in this triangle?

Answers

Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!

PLEASE HELP !!! 15 POINTS !! PLUS BRAINLIEST !!
The graph shows the shape of an arched bridge cable. What does the y-intercept represent?

The total length of the cable is 15 m.
The left end of the cable is 15 m above the roadway.
The minimum distance between the cable and roadway is 15 m.
The total length of the road is 15 m.

Answers

Answer:

The left end of the cable is 15 m above the roadway

Step-by-step explanation:

Let

x----> the horizontal distance from left end of cable (m)

y----> the height above roadway (m)

we know that

The y-intercept is the value of y when the value of x is equal to zero

In this problem

The y-intercept is the height above roadway (m) when the distance from end of cable is equal to zero

so

The y-intercept is the point (0,15)

so

The left end of the cable is 15 m above the roadway

The left end of the cable is 15 m above the roadway]

Step-by-step explanation:

Other Questions
Calendars cannot help you plan activities more than one month away. T/F Which describes the primary function of the nervous system in keeping the body in homeostasis? It processes the environment and sends out signals. It controls movement and provides structure. It physically breaks down and absorbs food. It puts oxygen in the blood, which is essential for life. La Follette wanted to bring in expert advisors to help draft laws because he:believed that they would pass pro-business lawsfelt the people should have less say in governmentthought that experts would help make government more efficient What action prompted the United States to oficially enter wwii? How might mike smith have benefited from personalized chemotherapy? (Please help~! 20 Points~!) The solution to 8x = 32 is x = ___. 3 4 5 6 Jamel swam 92 meters in 4 minutes. Andre swam 105 meters in 5 minutes. Who is ther faster swimmer? Provide very clear evidence to support your answer. Here, B represents the allele for black hair and b represents the allele for white hair. If both the rabbits crossed had genotype Bb, what will be the phenotypic ratio for the observable monohybrid crosses (complete dominance)? Why did the promise of a bill of rights encourage states to ratify the constitution? Select which of the spelling words should be used to complete the sentence. When Sally stood in front of the class to give her speech about currant/current events, she prayed/preyed that she would remember everything she had written. Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2bFind the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4 Which of the following were consequences of pursuing a policy of expansion? More than one may apply.1.) Threat of war with Spain 2.)Threat of war with Britain 3.)Threat of war with Mexico 4.)Threat of war with France 5.) American Indians driven from their lands Janicas lucky number (36) is her birth month multiplied by her birth day. What are some possibilities for her birthday (month and day)? Write an equation that shows the relationship. Which part of the story represents the rising action apex caleb and his classmates are making felt dog toys for a local animal shelter. how much red and yellow felt does his teacher need to buy so 20 students can each make a toy?felt needed for each toy1/8 sheet of white3/8 sheet of red5/8 sheet of yellow1 1/8 sheets of black How does mill respond to those who point out that some people desire virtue as good in itself? The nurse is performing a physical examination of a client by placing the left hand on the back and supporting the client's right side between the rib cage and the iliac crest. which physical assessment maneuver is the nurse performing on this client? Which was not a reason for post-World War II economic growth in the United States?A. People cashed in savings bonds and had extra money available. B. Prices dropped dramatically after military demand for goods dropped. C. Government funding continued supporting research and manufacturing. D. Consumer were eager to buy after wartime rationing and restrictions. To where did blacks who left the south during reconstruction migrate? farms in the west In "cranes" Tok-chae was being held prisoner because he ______ the farmers's communist league.A. owed money toB. was an enemy ofC. Was an official ofD.Planned to steal fromPLEASE help im stuck