Use the values listed in the table to answer the question.

Which expression is equivalent to 0?

Answer:

He borrowed 16.68

Step-by-step explanation:

Answer: $16.68 .....

Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

Answer:

-2

Step-by-step explanation:

according to pemdas we do what’s in the parentheses first

1/8-3/16

2/16-3/16

-1/16

Now we multiply by 32

32/1 x -1/16

-32/16

-2

Hopes this helps please mark brainliest

Answer:

y - 8 = 3(x - 6)

Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

y - 8 = 3(x - 6)

Answer:

not sure if this is what you're looking for but..

Step-by-step explanation:

To find the factor pair of -15x^2 that adds to be 2x, we need to find two numbers that multiply to -15x^2 and add up to 2x. The first step is to factor out the greatest common factor (GCF) which is -x. This gives us:

-15x^2 + 2x = -x(15x - 2)

Now we need to find two numbers that multiply to -2 and add up to 15. The only pair of numbers that works is 1 and -15. Therefore, we can write:

-15x^2 + 2x = -x(15x - 2) = -x(1x - 15x)(-1)(-2)

So the factor pair of -15x^2 that adds up to 2x is (-1)(-2) which equals 2

Answer:

20

Step-by-step explanation:

62 = 3x+2

60 = 3x

20 = x

lol yw now make me brainiest pls

Answer:

She drove a 122.5 miles

Step-by-step explanation:

Answer:

112.5

Step-by-step explanation:

37.5 x 3 = 112.5

Answer:

9

Step-by-step explanation:

9 x 9 = 81

Answer:

x = ±9

Step-by-step explanation:

x^2 = 81

Take the square root of each side

sqrt(x^2 ) = ±sqrt(81)

x = ±9

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

Answer:

22×2/5=8.8

Step-by-step explanation:

Hope it helps you

Answer:

55

Step-by-step explanation:

2/5n = 22

multiply each side by 5/2 to get:

n = 110/2

n = 55

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Answer:

\(5(3x-2y-2)\) i think. i am sorry if i am wrong

Step-by-step explanation:

Answer:

The two points used to find the slope:

\(x_1,y_1\): 2,30

\(y_1,y_2:\) 4,10

Final equation: y = -10x + 50

Step-by-step explanation:

From a fellow 8th grader <3

First, let's review the slope of a line: y = mx + b

Where m is the slope, and b the y-intercept

Let's find the slope. To do this I will select 2 points from this graph, and using the slope formula I will calculate it

Slope formula: \(\frac{rise}{run} =\frac{change- in- y}{change-in-x} =\frac{y^2-y^1}{x^2-x^1}\)

To get the most accurate answer, I will be using the 2 points given that are directly on the line:

1 = (2, 30)

2 = (4, 10)

Slope: \(\frac{10-30}{4-2} =\frac{-20}{2} =-10\)

m = -10

It makes sense that it is a negative, since the graph continues downwards.

Let's update our equation: y = -10x + b

We can see that the line intersects the y-axis at y = 50

Plug this into our b-value:

y = -10x + 50

Now, I would recommend using a graphing calculator (like a TI-83) or an online one (like desmos) to double check this. I have attached a screenshot of this line on desmos. From there we can see if this line matches up with the one seen on your graph.

Our answer is:

The two points used to find the slope:

\(x_1,y_1\): 2,30

\(y_1,y_2:\) 4,10

Final equation: y = -10x + 50

Please let me know if this helped you, and if this was the correct answer! If it is incorrect I will do my best to revise my answer.

Answer: y intercept is (0,50) and Slope is -10.

Final equation is y= -10x+50

Step-by-step explanation:

Y-intercept is at what point the line intercepts the y-axis. It intersects at (0,50) coordinate point as you can see.

Slope is change in y divided by the change in x. When you change x by 1, y changes by -10. So it is -10/1 = -10. Slope is -10.

Since we know y intercept and slope equation is y=-10x+50

Using given function, we conclude that it will take 3 seconds the ball to reach a height of 45 meters.

In this question, we have been given a function h = 30t - 5t²

This function is used to find the height (h) of the ball in meters after 6 seconds.

We need to find the amount of time required to reach ball to a height of 45 meters.

here, height h = 45 meters

to find : time t

h = 30t - 5t²                          ........................(Given function)

45 = 30t - 5t²

30t - 5t² - 45 = 0

5t² - 30t + 45 = 0

t² - 6t + 9 = 0

(t - 3)² = 0

t - 3 = 0

t = 3 seconds

Therefore, it will take 3 seconds  the ball to reach a height of 45 meters.

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Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

Answer:

Yes 1,000 + 1,000 = 2,000

Step-by-step explanation:

Because 1 + 1=2, 10 +10 =20, 100 + 100 = 200. So 1000 + 1000 = 2000

Also 0 + 0 = 0

 1000

+1000

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

2000

Answer:

2,000

Step-by-step explanation:

I don't get how you got that answer it's way harder than it should be the easy way is 1,000+1,000=2,000 (1+1)= 2 then you carry the three zeros over I know it's saying the same thing but how you done it takes way to long

Answer:

To make $175, he has to sell 644 hotdogs.

Step-by-step explanation:

Lets do this together step by step.

To calculate the cost of a single hot dog, divide the profit recieved by the number of hot dogs.

So that would be 14/56 which would result in $0.25.

Now we know that 1 hot dog = 25 cents.

Now, all of the money we receive ( $175) comes from selling a certain number of hot dogs.  

We can see that in order to calculate how many hotdogs we could buy with this sum of money, we would need to divide the total by the price of each hot dog.

175/0.25 = 700 ( Thats quite a lot.)

700-56 =644

He has to sell 644 hotdogs to earn $175.

Step-by-step explanation:

the other answer is absolutely correct.

just the last part was not fully explained :

the question was how many additional hot dogs have to be sold to earn $175 in total ?

to make $175, 700 hot dogs have to be sold.

but 56 have been sold already (for the initial $14 earnings).

so, 700 - 56 = 644 additional hot dogs have to be sold.

Answer:

\(\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }\)

Step-by-step explanation:

Hello,

   (1) 2x + 4y + z = 3

   (2) x - 2y - 3z = 4

   (3) x + y - z = -1

From (3) we can write z = x + y + 1 and we replace in (1)

2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2

   (1') 3x + 5y = 2

and we replace in (2)

x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7

   (2') -2x - 5y = 7

(1') + (2') gives

3x - 2x + 5y - 5y = 2 + 7 = 9

x = 9

we replace in (1')

3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5

y = -5

and then in (3)

9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5

z = 5

hope this helps

Answer:

work is shown and pictured

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

Answer:

Range :

\(y \geqslant 5\)

y intercept:

(0,5)

I'm not sure the first point does not have x and y values.

The graph has a direct proportion relationship.

The range and y-intercept of the graph representing snake population in time period n years is equal to y ≥ 5 and y = 5 respectively.

The range is defined as the set of all y values for the which f(x) is defined for the different values of x.

Here in the given graph of snake population and time 'n' years

Snake population represent the y-axis.

Time is on x-axis.

Here y values is greater than or equal to 5 .

Range = y ≥ 5

The y-intercept is the value for which x = 0.

Here for y = 5 we have x = 0.

y-intercept is y = 5.

Therefore, for the given graph range is y ≥ 5 and y-intercept is equal to y = 5 for the snake population in given time period.

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Answer:

The answer would be that there are more bananas than pears

Step-by-step explanation:

Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500

And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.

Answer:

x ≤ 5

Step-by-step explanation:

20 ≥ 5 + 3x

20 - 5 ≥ 3x

3x ≤ 15

x ≤ 5

Answer: 109 years old

Step-by-step explanation:

2009-1900=109

Answer:

109years old

Step-by-step explanation:

1900

1900 to 2000 is 100 years old

2000 to 2009 is 9 years old

100+9=109

Answer:

The answer is

Step-by-step explanation:

First of all we can write the fraction as

Simplify the second fraction

That's

So we have

Next change the division sign to multiplication sign and reverse the second fraction

That's

Multiply the terms

We have the final answer as

Hope this helps you

From the arithmetic sequence, the last row has 47 seats, and the auditorium has 15 rows.

We can solve this problem by recognizing that the number of seats in each row forms an arithmetic sequence. Let's call the first term of the sequence (the number of seats in the first row) "a" and the common difference between terms (the number of seats added for each subsequent row) "d".

Using this notation, we have:

a = 8

a + d = 11

a + 2d = 14

We can solve for a and d by subtracting the first equation from the second and the second equation from the third:

d = 3

a = 5

Therefore, the arithmetic sequence that describes the number of seats in each row is:

5, 8, 11, 14, ...

To find the number of seats in the last row, we need to find the nth term of this sequence, where n is the number of rows in the auditorium. We can use the formula for the nth term of an arithmetic sequence:

an = a + (n - 1)d

Since we don't know n, we need to find it first. We can use the formula for the sum of an arithmetic sequence to find the number of rows:

Sn = n/2(2a + (n - 1)d)

We know that there are 435 seats in total, so we can set Sn equal to 435 and solve for n:

435 = n/2(2(5) + (n - 1)(3))

435 = n/2(3n + 7)

870 = n(3n + 7)

3n^2 + 7n - 870 = 0

(n - 15)(3n + 58) = 0

Since n cannot be negative, we have n = 15.

Now that we know there are 15 rows, we can find the number of seats in the last row by plugging n = 15 into the formula for the nth term:

an = a + (n - 1)d

a15 = 5 + (15 - 1)(3)

a15 = 5 + 42

a15 = 47

Therefore, the last row has 47 seats, and the auditorium has 15 rows.

Learn more on  arithmetic sequence here;

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Translation:

Inside an auditorium there are 435 seats, in such a way that in the first row there are 8 seats, in the second row there are 11, in the third there are 14, and so on, an arithmetic sequence is formed. How many chairs are in the last row? How many rows does that auditorium have?