50% of 70

Help!! It's due by 10:00pm!!

Answer:

\(x = - 59\)

Step-by-step explanation:

\((6x + 28) = (7x + 87)\)

\(6x + 28 = 7x + 87\)

\(6x - 7x = 87 - 28\)

\(1x = - 59\)

\(x = - 59\)

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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To find the equation for line m, that is perpendicular to line k, we will take the steps below:

First, find the slope of line k from the graph given

To find the slope, locate the coordinates of any given 2 points from the line.

we have;

(4, 0) and (0, 3)

From the points above:

x₁= 4 y₁=0 x₂=0 y₂=3

slope = y₂-y₁ /x₂- x₁

substitute the values of the coordinate into the formula above

slope = 3 - 0 / 0 -4

= 3/ -4

= - 3/4

slopes of perpendicula equations are given by;

m₁m₂= -1

let m₁ be slope of k and m₂ be slope of m

(-3/4)m₂ = -1

multiply both-side of the equation by -4/3

m₂ = 4/3

The above is the slope of line M

Next, is to find the intercept of line M

y=mx + b

Answer:

1200 centimeters

Step-by-step explanation:

if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200

Answer:

1. b

2. e

3. a

4. f

5. g

Step-by-step explanation:

hope this helps

Expression for the nth term of the sequence: (n + 1) / (n + 3).The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

To find the expression for the nth term of the sequence, we observe that each term can be expressed as (n + 1) divided by (n + 3), where n represents the position of the term in the sequence.

Let's verify this formula with the given terms:

For n = 1: (1 + 1) / (1 + 3) = 2 / 4 = 1/2 (first term of the sequence)

For n = 2: (2 + 1) / (2 + 3) = 3 / 5 (second term of the sequence)

For n = 3: (3 + 1) / (3 + 3) = 4 / 6 (third term of the sequence)

For n = 4: (4 + 1) / (4 + 3) = 5 / 7 (fourth term of the sequence)

For n = 5: (5 + 1) / (5 + 3) = 6 / 8 = 3 / 4 (fifth term of the sequence)

Therefore, the first five terms of the given sequence are: 1/2, 3/5, 4/6, 5/7, 3/4.

The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

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Answer:

1 ten and 5 ones

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Answer:

wheres the table

Step-by-step explanation:

I dont see a picture so I cant help u sorry

Answer:

-5/2 x -33/4

Step-by-step explanation:

(-11/2 x + 3) -2 (-11/4 x -5/2)

(-11/2 x + 3/1) -2 (-11/4 x -5/2)

The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.

(-11/2 x + 6/2) -2 (-11/4 x -20/4)

( -5/2x) -2 (-31/4)

-5/2x -2 -31/4

-5/2x -2/1 -31/4

LCM of -2 -31/4 is 4

-2/4 -31/4

-33/4

-5/2x -33/4 in simplest form.

Using a midpoint Riemann sum with 3 subintervals of equal length to approximate \(\int^{70}_{10}v(t)dt\) is 2020 and \(\int^{70}_{10}v(t)dt\) means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

From the given question,

An initial height of 0 feet at time t=0 seconds.

The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds.

(a) Using a midpoint Riemann sum with 3 subintervals of equal length to approximate \(\int^{70}_{10}v(t)dt\).

\(\int^{70}_{10}v(t)dt\)

A midpoint Riemann sum with 3 sub intervals so, n=3

∆t= (70-10)/3

∆t = 60/3

∆t = 20

Intervals: (10, 30), (30,50), (50,70)

Midpoint:      20        40         60

Midpoint Riemann Sum

\(\int^{70}_{10}v(t)dt\) = ∆t[v(20+v(40)+v(60)]

From the table

\(\int^{70}_{10}v(t)dt\) = 20[22+35+44]

\(\int^{70}_{10}v(t)dt\) = 20*101

\(\int^{70}_{10}v(t)dt\) = 2020

(b) Now we have to explain the meaning of v(t)dt in terms of the rocket's flight \(\int^{70}_{10}v(t)dt\).

It means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.

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Answer:

C?

Step-by-step explanation:

From eyeballing it, I can see that RZ is definetely not the first two. and RZ looks about exactly double the length of VZ. Hope this helps. :)

Answer:

C. 12 inches

Step-by-step explanation:

May I have brainliest please? :)

To find the interest rate, we can use the formula:

Interest = Principal * Rate * Time

Given that Shirley borrowed a loan of #4000 for 2 years and paid #1200 as interest, we can set up the equation:

1200 = 4000 * Rate * 2

Divide both sides of the equation by 8000:

Rate = 1200 / 8000

Simplify:

Rate = 0.15

Therefore, the interest rate is 0.15, which is equivalent to 15%.

The interest rate is calculated by dividing the interest paid by the principal amount and the time period. In this case, the interest paid was #1200, the principal amount was #4000, and the time period was 2 years. By plugging these values into the formula, we can solve for the interest rate. In this case, the interest rate is 0.15 or 15%.

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Answer:

C

Step-by-step explanation:

first fine the nth term

a+(n-1)d

509+7n+7

516-7n

then equate the ans to the nth term

495=516-7n

7n=516-495

7n= -21

n= -3

After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

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Answer:

2/5, 16/25, and 11/4

Step-by-step explanation:

40/100 to 4/10 to 2/5

64/100 to 32/50 to 16/25

275/100 (by 25) to 11/4

Answer:

d. 6

Step-by-step explanation:

Given, a-5> -1

Both sides add 5, and we get

a > 4

So a is 6.

Answer:

  y ≈ 60.6 units

Step-by-step explanation:

Given a triangle with angles 18° and 117°, and sides 21 opposite 18° and y opposite 117°, you want to know the value of y.

The law of sines tells you the ratios of side length to the sine of the opposite angle are the same for all side/angle pairs in the triangle.

  y/sin(117°) = 21/sin(18°)

  y = 21·sin(117°)/sin(18°) ≈ 60.55

The value of y is about 60.6 units.

Each interior angle is 720°/6 = 120°.

The sum of the interior angles of a regular hexagon can be found using the formula 180(n-2), where n is the number of sides of the hexagon. In this case, n = 6, so the sum of the interior angles is 180(6-2) = 180(4) = 720°. Since the hexagon is regular, all of its interior angles are of equal size. Therefore, each interior angle is 720°/6 = 120°.

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Answer:0

Step-by-step explanation:

Because it says rate of change witch don’t have one

She will hike 6.23 miles.

To find out how many miles Mika will hike in 2 hours if she hikes at the same rate, we can set up a proportion using the information given. It will compare the distance Mika hiked in 77 minutes to the time it took her to hike that distance, with the distance she will hike in 2 hours to the time it will take her to hike that distance.

We can set up the proportion as follows:

Suppose she hikes for x miles in 2 hrs (120 minutes)

Then,  4 miles / 77 minutes = x miles / 120 minutes

To solve for x, we can cross-multiply and then divide:

4 * 120 = 77 * x

480 = 77 * x

Dividing both sides by 77, we get:

480 / 77 = x

x ≈ 6.23

Therefore, Mika will hike approximately 6.23 miles in 2 hours if she hikes at the same rate.

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Answer:

Draw a straight line that goes through the point (0,4) and (20,0)

Step-by-step explanation:

The y-intercept is equal to 4, since the function is already in y=mx+b form, where b is the y-intercept.

To find the x-intercept, we substitute 0 into y or in this case the f(x).

0 = -1/5 (x) + 4

1/5 x = 4

x = 20

The x-intercept is 20.

Answer:

it might only be "B" because you can put your time you ran"x" with the speed "y"

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Recall the following:

Therefore:

Answer:

Simplifying the above equations we get:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

To convert the weight of the pitaya seed from ounces to standard form, we need to express it in scientific notation.

Given: Weight of the pitaya seed = 1x10^(-3) ounces

In standard form, the weight can be written as a decimal number between 1 and 10 multiplied by a power of 10.

1x10^(-3) in standard form is 0.001.

Therefore, the weight of the pitaya seed in standard form is 0.001.

The weight of a pitaya, or dragon fruit, is given as 1x10^3 ounces in scientific notation, which converts to 1000 ounces in standard form.

Scientific notation is a concise way to express very large or small numbers, using powers of 10. In this case, the weight of a pitaya, represented as 1x10^3 ounces in scientific notation, can be easily converted into standard form. The exponent, 3 in this instance, indicates the number of places the decimal point should be moved. Therefore, an exponent of 3 means shifting the decimal point three places to the right. Consequently, the weight of the pitaya in standard form is 1000 ounces. This method provides a clear and efficient way to handle large numbers, making complex calculations and comparisons more manageable.

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Answer:

91 cents per ounce

Step-by-step explanation:

Divide 13.59 by 15

Answer: $0.91

Step-by-step explanation:

Take $13.59 divided by 15 = $0.91 per ounce

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