1) a, = an-1-9
a, = 25

Answer:

C

Step-by-step explanation:

We have a linear equation in the form  y = mx

Where m is the slope

The slope is the change in y divided by change in x.

We can take any 2 points on the line and see the change in y and divide it by the change in x. We will get slope, m.

Lets take points (2,3) and (6,9).

The change in y is 9 - 3 = 6

The change in x is 6 - 2 = 4

So, the slope would be:

m = 6/4 = 3/2 = 1.5

So, the equation would be:

y = 1.5x

Correct answer is C.

[tex]5\frac{1}{3}[/tex] liters is the amount to be drained out and replaced

Solution:

40 % antifreeze solution in 16 liter radiator

Let "x" be the amount drained from radiation and replaced with pure antifreeze

To obtain a 60 % antifreeze solution

The original solution is 16 liter, 40% of which is antifreeze

You want the solution to be 60% antifreeze:

60 % x 16 = [tex]\frac{60}{100} \times 16 = 9.6[/tex]

You will remove x liters of the 40% solution and replace it with x liters pure (100%) antifreeze.

[tex]40 \% (16 - x) + 100 \% \times x = 60 \% \times 16[/tex]

Let us solve expression for "x"

[tex]\frac{40}{100} \times (16 - x) + \frac{100}{100} \times x = \frac{60}{100} \times 16\\\\0.4(16-x) + x = 0.6 \times 16\\\\6.4 - 0.4x + x = 9.6\\\\6.4 + 0.6x = 9.6\\\\0.6x = 3.2\\\\x = 5.33\\\\x = 5\frac{1}{3}[/tex]

Thus [tex]5\frac{1}{3}[/tex] liters is the amount to be drained out and replaced

Answer:

544.5π cm³ ≈ 1711 cm³

Step-by-step explanation:

Each cylinder has a bore (diameter) of 11 cm, and stroke (height) of 6 cm.

V = πr²h

V = π (11 cm / 2)² (6 cm)

V = 181.5π cm³

There are 3 cylinders, so the total volume is:

3V = 544.5π cm³

3V ≈ 1711 cm³

To calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke, calculate the area of the bore, find the volume of one cylinder by multiplying by the stroke, and then multiply by the number of cylinders. The total stroke volume of the engine is 1710.6 cm³.

The student asked to calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke. The formula to calculate the volume of a single cylinder is V =  rac{ ext{ extpi}}{4}  imes D^2  imes S, where V is the volume, D is the diameter of the bore, and S is the stroke. In this case, D would be 11 cm, and we would need to square this value, then multiply by  extpi/4 and by the stroke length of 6 cm, then multiply the result by the number of cylinders, which is 3, to get the total engine displacement.

Step by step, we first calculate the area of the bore (cylinder base):
Area =  extpi  imes (radius)² =  extpi  imes (5.5 cm)²
=  extpi  imes 30.25 cm²
= 95.0332 cm². Next, we calculate the volume of one cylinder: Volume = Area  imes Stroke = 95.0332 cm²  imes 6 cm = 570.1992 cm³. Finally, we find the total volume for all three cylinders: Total Volume = 570.1992 cm³  imes 3
= 1710.5976 cm³. Thus, the total stroke volume of the engine is 1710.5976 cm³ or rounded to 1710.6 cm³.

Answer:

The two tires she bought is $35+$35 which then equals to $70. She spent $70 on tires. She then sold them for $65. She bought three rims, each $75... $75+$75+$75 which then equals her $225. And then sold them for $136. She then bought four headlight covers for $4 each... $4+$4+$4+$4, which equals her $16. Then sold them for $15. Her total profit is -$95. How i got that answer you say, well, if you calculate how much she spent on everything in total, she spent -$311 on everything. You then calculate how much she gained by selling everything she had bought, which was a total of $216. Add both of the total prices, -$311+216= you get -$95.

Step-by-step explanation:

Answer:

298

Step-by-step explanation:

35*2=70 65*2=130  130-70=60

75*3=225 136*3=408   408-225=183

5*4=20 15*5=75    75-20=55

55+60+183=298

Answer:

18000×75÷100 =13500 ×3 =40500 .

This question is incomplete. I found similar question with picture. Please refer to the attachment to relate with my answer

Full Question:

Various dilations of square A are shown. Which square was obtained by dilating square a by the scale factor of 3.

Answer:

E

Step-by-step explanation:

The square a is a 2 unit x 2 unit square. With scale factor of 3. Any unit length of the object must be multiplied by 3

In this case, since the object side is 2, the image side must be 2x3 = 6 units.

Therefore, the dilation of square A with factor of 3 is square E

Answer:

y=K/4z

Step-by-step explanation:

K=4yz

y=K/4z

Answer:

Step-by-step explanation:

Answer:

Bryson’s age is 14 years

Step-by-step explanation:

Let

x ----> Bryson’s age

we know that

Bryson’s age multiplied by 3 minus 4 must be equal to 38

so

The linear equation that represent this situation is

[tex]3x-4=38[/tex]

solve for x

Adds 4 both sides

[tex]3x=38+4[/tex]

[tex]3x=42[/tex]

Divide by 3 both sides

[tex]x=14[/tex]

therefore

Bryson’s age is 14 years

Answer:

$4250

Step-by-step explanation:

i = prt

or

p = i / rt

where,

i = $1,785

r = 6% = 0.06

t = 7 years

So, we can calculate initial vale by putting the values in above equation;

p = $1,785 / (0.06 x 7)

p = $1,785 / 0.42

p = $4,250

Hence the initial value will be $4250

Answer:

n=-2

Step-by-step explanation:

7/8+n/4=3/8

n/4=3/8-7/8

n/4=-4/8

-4/8=-1/2

n/4=-1/2

cross product

4*-1=2*n

-4=2n

n=-4/2

n=-2

Answer:

Step-by-step explanation:

7/8 +n/4 = 3/8

Multiply each term by 8

(8)7/8 +n/4(8) = 3/8(8)

7 + 2n = 3

2n = 3 - 7

2n = - 4

n = -4/2

n = -2

subtract 7 from both sides

4x = -2x + 12

add 2x to both sides

6x = 12

divide both sides by 6

x = 2

Answer:

[tex]\large\boxed{y=\dfrac{1}{2}x^2-2x+1}[/tex]

Step-by-step explanation:

The vertex form of an equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

(h, k) - vertex

a - leading coefficient in equation y = ax² + bx + c

From the grap we can read coordinates of the vertex (2, -1) and y-intercept (0, 1).

Therefore h = 2, k = -1

Put the values of h, k and coordinates of the y-intercept to the equation of parabola:

[tex]1=a(0-2)^2-1[/tex]     add 1 to both sides

[tex]1+1=a(2)^2-1+1[/tex]

[tex]2=4a[/tex]              divide both sides by 4

[tex]\dfrac{2}{4}=\dfrac{4a}{4}\\\\\dfrac{1}{2}=a\to a=\dfrac{1}{2}[/tex]

Therefore we have the equation:

[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex]

Convert to the standard form:

[tex]y=\dfrac{1}{2}(x-2)^2-1[/tex]       use (a - b)² = a² - 2ab + b²

[tex]y=\dfrac{1}{2}(x^2-2(x)(2)+2^2)-1[/tex]

[tex]y=\dfrac{1}{2}(x^2-4x+4)-1[/tex]           use the distributive property

[tex]y=\dfrac{1}{2}x^2-\dfrac{1}{2}\cdot4x+\dfrac{1}{2}\cdot4-1[/tex]

[tex]y=\dfrac{1}{2}x^2-2x+2-1[/tex]          combine like terms

[tex]y=\dfrac{1}{2}x^2-2x+1[/tex]

Answer:

I believe its 20% thats counting the 10% shipping cost

Step-by-step explanation:

Final answer:

Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.

Explanation:

To calculate the minimum sale rate that Kedwin needs to be able to afford the headphones, we first need to calculate the total cost of the headphones including shipping. The headphones cost $175.00 and the shipping is 10% of the cost, which is $17.50. So the total cost is $175.00 + $17.50 = $192.50.

Next, we subtract Kedwin's current funds, $150.00, from the total cost, $192.50, to find the amount he still needs, which is $192.50 - $150.00 = $42.50.

Finally, we divide the amount he still needs by the original cost of the headphones and multiply by 100 to find the minimum sale rate. In this case, the calculation is ($42.50 / $175.00) * 100 = 24.29%. Therefore, Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

Answer:

630

Explanation:

15% * number of remaining cups = 90

15% * (x-30) = 90

0.15(x-30) = 90

0.15x - 4.5 = 90

0.15x = 94.5

x = 630

Answer:

The inverse variation function can be written as:

[tex]f(x)=\frac{-200}{x}[/tex]

Step-by-step explanation:

Given :

[tex]f(x)[/tex] varies inversely with [tex]x[/tex]

when [tex]x=20[/tex], [tex]f(x)=-10[/tex]

To find the inverse variation equation.

Solution:

[tex]f(x)[/tex] varies inversely with [tex]x[/tex] can be represented as:

[tex]f(x)[/tex] ∝ [tex]\frac{1}{x}[/tex]

Thus, [tex]f(x)=\frac{k}{x}[/tex]

where [tex]k[/tex] represents the constant of proportionality.

We can determine the value of [tex]k[/tex] by plugging in the values given.

when [tex]x=20[/tex], [tex]f(x)=-10[/tex]

So, we have

[tex]-10=\frac{k}{20}[/tex]

Multiplying both sides by 20.

[tex]20\times (-10)=20\times \frac{k}{20}[/tex]

[tex]-200=k[/tex]

Thus  the inverse variation function can be written as:

[tex]f(x)=\frac{-200}{x}[/tex]

Answer:

B

Step-by-step explanation:

First solving for log5(92):

log5(92) = log(92) / log(5) = 2.8095 = 2.810

Now to change to base 3:

log3(x) = log5(92)

Solve for x:

x = 3^(log5(92)

x = 3^2.810

x = 21.903

The answer would be the first one.

Answer:

I got A

Hope this helps

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 4x - 3 ( add 3 to both sides )

y + 3 = 4x ( divide both sides by 4 )

[tex]\frac{y+3}{4}[/tex] = x

Change y back into terms of x

[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]

Answer:

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 14 → (1)

x = 2y - 12 → (2)

Substitute x = 2y - 12 into (1)

3(2y - 12) + 4y = 14 ← distribute and simplify left side

6y - 36 + 4y = 14

10y - 36 = 14 ( add 36 to both sides )

10y = 50 ( divide both sides by 10 )

y = 5

Substitute y = 5 into (2) for corresponding value of x

x = 2(5) - 12 = 10 - 12 = - 2

Solution is (- 2, 5 )

To find the point that satisfies both equations, substitute the value of x from the second equation into the first equation and solve for y. Then substitute the value of y into the second equation to find x. The point (-2, 5) satisfies both equations.

To find the point that satisfies both equations, we need to solve the system of equations:

3x + 4y = 14

x = 2y - 12

Substituting the value of x from the second equation into the first equation, we get:

3(2y - 12) + 4y = 14

6y - 36 + 4y = 14

10y = 50

y = 5

Substituting the value of y into the second equation, we get:

x = 2(5) - 12

x = 10 - 12

x = -2

Therefore, the point (-2, 5) satisfies both equations.

complete question given below:

3x+4y=14

x=2y-12

which point satisfies both equation

Answer:

b=-108

Step-by-step explanation:

To solve this equation for b, you simply multiply each side by 18. The reason you do this is to isolate the b.

[tex]-6=\frac{b}{18}[/tex]

[tex]18(-6)=(\frac{b}{18} )(18)[/tex]

[tex]-108=b[/tex]

Answer:

y=3/8

Step-by-step explanation:

-6y+13+9y=3y+13

3y+13=8y-3-6y+13+9y

3y+13=2y+9y-3+13

3y+13=11y+10

13=11y-3y+10

13=8y+10

8y=13-10

8y=3

y=3/8

Answer:

B  [tex]x^4-x^3+x^2-x+1[/tex]

Step-by-step explanation:

Given,

Dividend = [tex](x^5+1)[/tex]

Divisor = [tex](x+1)[/tex]

Now According to the rule of Division.

Step 1: At first dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when it is divided for the first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]

Step: 2 Now the remainder of step 1 will be new dividend which is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex]  so when it is divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]

Step: 3 Now the remainder of step 2 will be new dividend which is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]

Step: 4 Now the remainder of step 3 will be new dividend which is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is  divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]

Step: 5 Now the remainder of step 4 will be new dividend which is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex]  when it is divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Hence When the polynomial [tex](x^5+1)[/tex] is divided by  [tex](x+1)[/tex] the answer or quotient will be equal to  [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Answer:

70 degrees

Step-by-step explanation:

Complementary angles sum up to 90.

To find the larger angle, you find the total of the values in the ratio, divide the larger value of the ratio by the total and multiply it by 90.

(7/7+2)×90=7/9×90

=7×10

=70

OR

Write an equation:

7x+2x=90

9x=90

x=10

Then multiply x by the larger value.

7x=7 (10)=70

Answer:

7x + 15x= 21x

Step-by-step explanation:

7x + 15x

= (7 + 15)x

= 22x

Answer: 22x

Step-by-step explanation: +7x and +15x are called terms and the numbers in front of the variables, +7 and +15 are called coefficients.

Because the variables, x and x, are identical, the two terms in this problem are called like terms. Like terms can be added together by simply adding their coefficients. So in this problem, since 7 + 15 is 22, 7x + 15x is simply 22x.

Answer:

The Range is {3, 6}.

Step-by-step explanation:

The correct question is

Find the range of the function below if the domain is {-1,0,2} f(x)=x^2 -2x+3

we know that

The domain represents all possible values of x.

The range represents all possible values of f(x)

Substitute all of the possible x-values (domain) into the formula to find all possible f(x) values (the range).

For x=-1

[tex]f(-1)= (-1)^{2} - 2(-1) + 3[/tex]

[tex]f(-1)=1+2+ 3[/tex]

[tex]f(-1)=6[/tex]

For x=0

[tex]f(0)= (0)^{2} - 2(0) + 3[/tex]

[tex]f(0)=0-0+ 3[/tex]

[tex]f(0)=3[/tex]

For x=2

[tex]f(2)= (2)^{2} - 2(2) + 3[/tex]

[tex]f(2)=4-4+ 3[/tex]

[tex]f(2)=3[/tex]

therefore

The Range is {3, 6}.

Answer:

A lipid

Step-by-step explanation:

When 1 "Glycerol "and 3"Fatty Acids" form a bond the new molecule is called "Triglyceride" which is a type of "Lipid"

The total profit is :$37.46. Number of boxes for pop B to purchase more is 56 boxes.

Step-by-step explanation:

1.

Pop B number =36

Remaining Pop B after meeting = 36-17 =19

Amount obtained after selling remaining Pop B = 19* 0.75 = $14.25

Pop A number =75

Remaining Pop A after meeting = 75-8 =67

Amount obtained after selling pop A = 67*0.5 =$33.5

Profit in Pop B = $14.25-$3.79 =$10.46

Profit in Pop A =$33.5 -$6.50 = $27

Total profit after sell of Pop A and B = $10.46+$27 = $37.46

2.

The target profit is $250

Subtracting profit meet = $250 - $ 37.46 =$212.54

Profit to be attained by the sell of pop B only should be =$212.54

Selling price of pop B per box is $3.79

Number of boxes for pop B to purchase more will be;

$212.54/ $3.79 = 56.08 ⇒ 56  more boxes

Learn More

To find profit from selling price ;https://brainly.com/question/927518

Keywords ; pop, profit, goal, more boxes, sale price , brand

#LearnwithBrainly

Answer:

16=m-14

To find the value of m you want to add 14 to each side

30=m

Step-by-step explanation: