PLEASE HELP A store has sales of $500 in their first month. If sales increase at a rate of $10 each month, they can be modeled by this equation:an=500+(k-1)10 Use summation notation to model and evaluate the sales for the first ten years. Explain your steps.

Answer:

B L is equal to P minus 2W all over 2

Step-by-step explanation:

P = 2L + 2W

We want to isolate L.

The first step is to subtract 2W from each side.

P-2W = 2L + 2W-2W

P-2W = 2L

Now divide each side by 2

(P-2W)/2 = 2L/2

(P-2W)/2 = L

Answer:

The GCF of 35 and 39 is 1.

Step-by-step explanation:

Factors of 35: 1, 5 and 7

Factors of 39: 1, 3, 13

1 is the only factor that these numbers have in common.

Hope this helps!

Answer:

35 - 1, 5, 7

39 - 1, 3, 13

the greatest common factor will be 1

hope this helps

Step-by-step explanation:

Answer:

since the lines don't intersect there is no solution.

Answer:

D = 130

Step-by-step explanation:

We can use the formula

<Y = 1/2 (big arc XZ - little arc XZ)

50 = 1/2 ( 230- XZ)

Multiply by 2 on each side

100 = 230-XZ

Subtract 230 from each side

100-230 = 230-230 -XZ

-130 = -XZ

Multiply each side by -1

-1*-130 = -1 * -XZ

130 = XZ

Answer:

D. the measure of xz is 130 degrees

Step-by-step explanation:

The correct answer is 130 degrees

Answer:

Fir trees are 9 meters and the pine trees are 12 meters tall.

Step-by-step explanation:

Let the height of the fir tree = x and the height of the pine tree = y (in meters).

It is given that the combined height of both the trees is 21 meters.

That is, [tex]x+y=21[/tex]

Also, the height of 4 fir trees is 24 meters more than that of the pine tree.

That is, [tex]4x=y+24[/tex] i.e. [tex]4x-y=24[/tex]

So, we get the system of equations,

x+y=21

4x-y=24

Adding both the equations, gives us,

5x = 45 i.e. x=  9.

So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.

Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.

Look at the picture.

[tex]A_1=15\cdot6=90\ cm^2\\\\A_2=5\cdot5=25\ cm^2\\\\A_3=5\cdot4=20\ cm^2\\\\A_4=6\cdot8=48\ cm^2\\\\A_5=15\cdot2=30\ cm^2\\\\A_6=2\cdot2=4\ cm^2\\\\A_7=15\cdot8=120\ cm^2\\\\A_8=15\cdot6=90\ cm^2\\\\S.A.=A_1+2A_2+5A_3+2A_4+2A_5+2A_6+A_7+A_8\\\\S.A.=90+2\cdot25+5\cdot20+2\cdot48+2\cdot30+2\cdot4+120+90\\\\\boxed{S.A.=614}\ cm^2[/tex]

Eff started his lemonade stand with $22 and ended the day with $110, having earned five times his starting amount.

Eff started his day with a certain amount of money and ended up with $110 at the end of the day after earning five times the amount he started with. To calculate the amount Eff started with, we need to set up a simple equation based on the given information. Let x represent the amount of money Eff had at the beginning of the day. The relationship can be expressed as:

5x = $110

Divide both sides of the equation by 5 to find the starting amount:

x = $110 / 5

x = $22

Therefore, Eff started the day with $22.

Answer:

35%

Step-by-step explanation:

So we can write that 14/40 of the group is allergic to peanuts. So 7/20 of the group are allergic or 35/100.

Answer:

vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])

Step-by-step explanation:

given a quadratic in standard form : ax² + bx + c : a ≠ 0

the x- coordinate of the vertex can be found as

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - x + 2 is in standard form

with a = 1, b = - 1 and c = 2

[tex]x_{vertex}[/tex] = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

substitute this value into the function for the y-coordinate

y = ([tex]\frac{1}{2}[/tex])² - [tex]\frac{1}{2}[/tex] + 2 = [tex]\frac{7}{4}[/tex]

vertex = ( [tex]\frac{1}{2}[/tex], [tex]\frac{7}{4}[/tex])

Answer:

im pretty sure its 1b 2a 3d 4c for the first row... if im reading it right. second row is 5c 6b 7a 8d i think. third row is 9b 10d 11a 12c. hope it helped :)

Step-by-step explanation:

i just plugged the functions into the y= in the calculator. i have the ti-84 plus ce calculator, but if you dont you can use one online

Answer:

  D.  y = 4/5x

Step-by-step explanation:

Equations A and C are not in slope-intercept form.

Equation B has a y-intercept of -5, which the graph does not.

The only viable choice is D.

Answer:

kora is 13

Step-by-step explanation:

venla is 5 years older than kora

18-5=13

Answer: The Equation answer is V=k+5

how old is kora when venla is 18 years old? Is 13 years old

Step-by-step explanation:

Answer:

L is perpendicular to N

Step-by-step explanation:

M is perpendicular to N

L ll M

We can replace M with L since  they are parallel

L is perpendicular to N

Answer:

Option C

Step-by-step explanation:

It is given that M is perpendicular to N and L ║ M

Since M ║L

and N is perpendicular to line M So L will be perpendicular to N.

That means N will be perpendicular transverse of both the parallel lines M and L

Option C is the answer.

Answer:

160 Sodas

80 Hot Dogs

Step-by-step explanation:

240=2x+x Given

240=3x Simplify

80=x Divide by 3

Now you would plug in the variable to solve

2(80) or 160 Sodas

(80) Hot Dogs

Answer:

d^3 - 12d^2 b + 48db^2 - 64b^3

Step-by-step explanation:

(d - 4b)^3

======================

======================

======================

Explanation

The general term of the binomial expansion is

Combination

[n! / (n - k)! k! ]

This means for the second term that k = 2 and n = 3

So the expansion becomes

3!/(3 - 1)!*1!

3!/1! 2!

3

Descending powers

In the second term

k = 1 ; n = 3

d^(n - k)*(-4b)^k

d^(3-1 ) * (- 4b)^(1)

d^2 * (-4b)^1

- 4 d^2 * b

Of course you have to put this together with the three

- 12 d^2 * b^1 or - 12d^2b

I know this looks awful (and it really is) but if you want the 5th term of (a - 2b)^10, you would go crazy trying to do this by expanding the binomial 10 times. So practice every one of these. Eventually it becomes mechanical. Mr. Miagi (karate kid) would say "Teacher teach. Pupil do."

Answer:

d^3 - 12d^2 b + 48db^2 - 64b^3

(d - 4b)^3

First term: [3!/(3 - 0!)*0!] = 3!/(3!)*1 = 1

1*d^(3 - 0)*(4b)^0

1*d^(3)*(4b)^0

1*d^(3)=d^(3)

d^(3)*(4b)^0

d^3

Second Term 3!/(3 -1 )!*1! * d^(3-1)*(-4b)^1

Second term 3 * d^2*(-4b)

Second term - 12d^2 * b

Third term 3!/[(3 - 2)!2!] * d^(3 - 2) (-4b)^2

Third term 3*d*16 b^2

Third term 48 db^2

Last term 3!/[(3 - 3)!(3!) ] * d^(3 - 3) (- 4b)^(3)

Last term 1*d^0*(-64b^3)

Last term - 64b^3

The equation of the line that passes through the given points is 3y + 4x = -3

From the question,

We are to determine the equation of the line that passes through the points (-3,3) and (9,-13)

The equation can be determined by using the formula for calculating the equation of a line with two given points.

The formula for determining the equation of a straight line with two given points (x₁, y₁) and (x₂, y₂) is

[tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

From the question,

x₁ = -3

y₁ = 3

x₂ = 9

y₂ = -13

Putting the parameters into the formula, we get

[tex]\frac{y-3}{x--3}= \frac{-13-3}{9--3}[/tex]

This becomes

[tex]\frac{y-3}{x+3} = \frac{-16}{12}\\[/tex]

Then,

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

This becomes

[tex]3(y-3) = -4(x+3)[/tex]

Clearing the brackets, we get

[tex]3y -9 = -4x -12[/tex]

[tex]3y+4x= -12 +9[/tex]

[tex]3y +4x =-3[/tex]

Hence, the equation of the line that passes through the given points is 3y + 4x = -3

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The linear equation that passes through the points (-3,3) and (9,-13) can be found by first calculating the slope (m) using the formula (y2 - y1) / (x2 - x1), giving m = -4/3. Next, substitute one of the points and the slope into the slope-intercept form of a linear equation, y = mx + b, to solve for the y-intercept (b), resulting in b = -1. Thus, the desired linear equation is y = -4/3x - 1.

To write a linear equation that passes through two points (-3,3) and (9,-13), we first need to find the slope (m) of the line. The formula to find the slope is (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. Therefore, m = (-13 - 3) / (9 - (-3)) = -16/12 = -4/3.

Next, we use the slope-intercept form of a linear equation, y = mx + b where 'm' is the slope, and 'b' is the y-intercept. We can substitute one of our points and the slope into this equation to solve for b. Let's use the point (-3,3). So, 3 = (-4/3)*(-3) + b. This simplifies to 3 = 4 + b. Solving for b gives b = 3 -4 = -1.

Therefore, the linear equation that passes through the points (-3,3) and (9,-13) is y = -4/3x - 1.

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Answer:

the runner’s pulse will be 70 beats per minute in 7.9 minutes

Step-by-step explanation:

[tex]P(t) = 145e^{-0.092t}[/tex]

Graph the function using a graphing utility.

Graph is attached below.

P(t) is beats per minute

Given P(t) is 70, so we plug in 70 for P(t) and solve for t

[tex]70= 145e^{-0.092t}[/tex]

Divide both sides by 145

[tex]\frac{70}{145} =e^{-0.092t}[/tex]

Now take ln on both sides

[tex]ln(\frac{70}{145})=ln(e^{-0.092t})[/tex]

[tex]ln(\frac{70}{145})=-0.092t[/tex]

Divide both sides by -0.092

So t≈7.91564

Round to nearest tenth t= 7.9

We can verify it from second graph

To find when the runner's pulse will be 70 beats per minute, you need to set the function P(t) = 145e-0.092t equal to 70 and solve for t. This requires knowledge of natural logarithms and exponent laws.

The question asks us to graph the function P(t) = 145e-0.092t which represents a runner’s pulse, P(t), in beats per minute, t minutes after a race where the restriction for the time t is 0 ≤ t ≤ 15. To determine after how many minutes the runner’s pulse will be 70, we can use the equation P(t) and then set P(t) equal to 70, which will look something like this: 70 =145e-0.092t. Solving this equation will therefore give us the time it takes for the runner's pulse to decrease to 70 beats per minute after a race. Solving this requires knowledge of natural log and exponent laws. The resulting value, rounded to the nearest tenth of a minute, should be the correct answer.

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Answer:

1 1/2 hours

Step-by-step explanation:I took the test

Answer:

[tex]t(c)=\frac{t-10}{8}[/tex] determines the time you used the kayak for at a specific cost you paid.

Step-by-step explanation:

The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).

(x,y)--->(y,x) in the new function.

If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).

For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).

For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.

y=8x+10

x=8y+10

x-10=8y

[tex]\frac{x-10}{8} =y[/tex]

This is the inverse function, We replace (x,y) with (c,t).

[tex]t(c)=\frac{t-10}{8}[/tex]

Answer:

h = 3V / lw <===ANSWER

Step-by-step explanation:

V = 1/3 lwh (multiply both sides by 3)

3V = lwh (divide both sides by lw)

3V / lw = h

Answer:

49

Step-by-step explanation:

If so  the inter quartile range = 58 - 9 = 49

Answer:

the answer would be 49 i hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is a function

[tex]f(x) =(x-2)^2[/tex]

This function is a parabola with vertex at (2,0) and axis of symmetry is x=2

Hence for x<2 the curve would be reflection of x>2

To get inverse we must get one to one funciton only.

So restrict the domain of f(x) to [tex][2,∞)[/tex]

Then we have f(x) as one to one with domain x≥2 and range is R+

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

For this inverse domain is R+ and range is [tex][2,∞)[/tex]

Answer:

restriction of domain is x>=2

[tex]f^{-1}=\sqrt{x}+2[/tex]

Step-by-step explanation:

Restrict the domain of the function  [tex]f(x)=(x-2)^2[/tex] so it has an inverse

To restrict the domain we find the vertex

VErtex form of the equation is

[tex]y=(x-h)^2+k[/tex] vertex is (h,k). restriction of domain is x>=h

[tex]f(x)=(x-2)^2+0[/tex] , vertex is (2,0)

So restriction of domain is x>=2

now we find inverse function

[tex]f(x)=(x-2)^2[/tex]

Replace f(x) with y

[tex]y=(x-2)^2[/tex]

Replace x with y and y with x

[tex]x=(y-2)^2[/tex]

To remove square we take square root on both sides

[tex]\sqrt{x} =y-2[/tex]

Add 2 on both sides

[tex]\sqrt{x}+2 =y[/tex]

[tex]f^{-1}=\sqrt{x}+2[/tex]

To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.

To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:

800 - 95 ≥ x

To solve the inequality, we subtract 95 from both sides:

x ≤ 800 - 95

x ≤ 705

Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.

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Answer: 93

Step-by-step explanation:

NOTE: "won" means add, "spent" means subtract

Monday: + 75

Tuesday: Monday + 105   = 75 + 105   = 180

Wednesday: Tuesday + 127 - 250   =   180 + 127 - 250   = 57

Jared has 57 but needs 150

(75+105)+127= 307

307-250=57

jared has 57 tickets he wants to 150 ticket prize

57-150=93

Jared needs 93 tickets to get the prize

Answer:

the answer is 55

Step-by-step explanation:

all angles have to  equal up to 180.

55+30=85

85+40=125

180-125=55

Final answer:

The expression 12/a + 2a - 8 is not a polynomial because it contains a variable in the denominator, thus violating the definition of polynomials that only allow non-negative integer exponents.

Explanation:

The expression 12/a + 2a - 8 is best described as an option (d), not a polynomial because it contains a term with a variable in the denominator (12/a). Polynomials are algebraic expressions that consist only of non-negative integer powers of the variable. In this case, the term 12/a has a variable 'a' in the denominator, which implies a negative exponent if it were to be written with only the variable in the numerator. This is why the expression does not fit the definition of a polynomial.

Answer:

BE =40

Step-by-step explanation:

Since this is a regular pentagon

BE = BD

3x+4 = 2x+16

Subtract 2x from each side

3x-2x +4 = 2x-2x+16

x+4 = 16

Subtract 4 from each side

x+4-4 = 16-4

x =12

We want to know the length of BE

BE = 3x+4

x=12 so we can substitute it in

      3(12) +4

       36+4

    40

BE =40

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

[tex]r=\sqrt{a^2+b^2}[/tex]

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

[tex]\sqrt{48^2+b^2}=50[/tex]

[tex]\Rightarrow 2304+b^2=50^2[/tex]

[tex]\Rightarrow b^2=2500-2304[/tex]

[tex]\Rightarrow b^2=196[/tex]

[tex]\Rightarrow b=\sqrt{196}[/tex]

[tex]\Rightarrow b=14[/tex]

Therefore, missing value b is 14

Answer: 14

Step-by-step explanation:

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