8 is 80% of what number?

Answer:

y- intercept = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses the y- axis

In this case that is the point (0, 4 ) , then

y- intercept = 4

The average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

The function f(x)=80(1.5)x

where x is the time in hours

Then,

f(4)=80(1.5)4=480

f(8)=80(1.5)8=960

f(0)=80(1.5)0=0

Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)

=120 units per hour

The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)

=120 units per hour

Hence, the average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

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To determine when the body is moving backward, we need to find the values of t for which the velocity v is negative.

Given velocity equation: \(v = t^2 - 8t + 7\)

To find when the body is moving backward, we need to solve the inequality v < 0.

\(t^2 - 8t + 7 < 0\)

To solve this quadratic inequality, we can factor it as follows:

(t - 1)(t - 7) < 0

The critical points are t = 1 and t = 7, which divide the number line into three intervals: (-∞, 1), (1, 7), and (7, +∞).

Now, we need to determine the sign of the expression (t - 1)(t - 7) in each interval to find where it is negative.

For (t - 1)(t - 7) < 0, we need one factor to be positive and the other factor to be negative.

Considering the intervals:

In the interval (-∞, 1), both factors are negative, resulting in a positive product.

In the interval (1, 7), (t - 1) is negative, and (t - 7) is positive, resulting in a negative product.

In the interval (7, +∞), both factors are positive, resulting in a positive product.

Therefore, the body is moving backward in the interval (1, 7).

The correct answer is:

a) 1 < t < 7

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Answer: The answer is no solution :)

4y+2=-1/3(8-12y)

Simplify it

4y+2=-0.333333333333*(8-12y)

Reorder terms in these parentheses

4y+2=+(-2.66666666667+4y)

Remove uneeded parentheses

+4y+2=-2.66666666667+4y

move all terms that has y to the left and all other terms to the right.

+4y-4y=-2.66666666667-2

simplify left the and right side of the equation,

y=-4.66666666667

0=-4.66666666667

The left and right sides are not equal, so there is no solution :)

Answer:

1/36

Step-by-step explanation:

6^-2

~Use negative exponent rule [ a^-b = 1/a^b ]

1/6^2

1/36

Best of Luck!

Answer:

\(\huge\boxed{\sf \frac{1}{36}}\)

Step-by-step explanation:

\(\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}\)

Hope this helped!

The four smallest positive solutions to the equation sec(5x) - 2 = 0 are:

x = π/15, 31π/15, 61π/15, 91π/15

To solve the equation sec(5x) - 2 = 0, we can start by isolating the secant term and then finding its reciprocal.

sec(5x) - 2 = 0

Adding 2 to both sides:

sec(5x) = 2

Taking the reciprocal of both sides:

1 / sec(5x) = 1 / 2

Since sec(θ) is the reciprocal of cos(θ), we can rewrite the equation as:

cos(5x) = 1 / 2

Now, we need to find the values of 5x that satisfy this equation. We can use the inverse cosine function (arccos) to find these values.

arccos(cos(5x)) = arccos(1 / 2)

To find the principal value of arccos, we have:

5x = arccos(1 / 2)

5x = π/3

Dividing both sides by 5:

x = (π/3) / 5

x = π/15

Now, to find the next three smallest positive solutions, we can add integer multiples of the period of the cosine function, which is 2π.

Adding 2π to the solution:

x = π/15 + 2π

x = 31π/15

Adding 2π again:

x = π/15 + 4π

x = 61π/15

Adding 2π one more time:

x = π/15 + 6π

x = 91π/15

Therefore, the four smallest positive solutions to the equation sec(5x) - 2 = 0 are:

x = π/15, 31π/15, 61π/15, 91π/15

Rounded to two decimal places, these values are approximately:

x ≈ 0.21, 6.49, 12.87, 19.25

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Answer:

graph C

Step-by-step explanation:

Step-by-step explanation:

Radius of a cicke is calculated by 2 pi r

Equation is found by y=mx+C

Answer:

f-3+6

because f=9

Step-by-step explanation:

Answer:

it 34

Step-by-step explanation:

1.  AD would increase by $200 million due to the multiplier effects.

2. The government should increase spending by $20 million to achieve an AD increase of $100 million.

3. Bank E can lend out a maximum of $9,000.

1. To calculate the increase in aggregate demand (AD) due to multiplier effects when the government reduces taxes by $50 million and the marginal propensity to consume (MPC) is 0.75, we can use the formula:

Multiplier = 1 / (1 - MPC)

AD increase = Multiplier * Tax cut

Given that the tax cut is $50 million and MPC is 0.75:

Multiplier = 1 / (1 - 0.75) = 1 / 0.25 = 4

AD increase = 4 * $50 million = $200 million

Therefore, AD would increase by $200 million due to the multiplier effects.

2. To determine the amount the government should increase spending to increase AD by $100 million, given an MPC of 0.8, we can use a similar approach:

Multiplier = 1 / (1 - MPC)

Government spending increase = AD increase / Multiplier

Given that the desired AD increase is $100 million and MPC is 0.8:

Multiplier = 1 / (1 - 0.8) = 1 / 0.2 = 5

Government spending increase = $100 million / 5 = $20 million

Therefore, the government should increase spending by $20 million to achieve an AD increase of $100 million.

3. To calculate the maximum amount of money that Bank E can lend out, given that it has $10,000 of deposits as a liability and $1,500 in reserves, with a required reserve ratio (rr) of 10%, we can use the formula:

Maximum loan amount = Total deposits - Required reserves

Given that the required reserve ratio is 10%, which means the bank needs to hold 10% of the deposits as reserves:

Required reserves = 10% * $10,000 = $1,000

Maximum loan amount = $10,000 - $1,000 = $9,000

Therefore, Bank E can lend out a maximum of $9,000.

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Answer:

2 4/9 because the filled in boxes stand for a whole and what's missing is 4 pieces from the last one which would be the numerator and the denominator would be 9 because that's how many squares are there in total.

Step-by-step explanation:

Answer:

2 5/9

Step-by-step explanation:

Count the full boxes, which there are two of them,
and then you count the number of colored boxes in the partially filled one.
There are 5 colored boxes.

Hence, you get 2 wholes and 5/9 colored boxes

So the answer is 2 5/9.

Answer:

(300,000 + 20,000 + 0 + 700 + 40 + 9)

Step-by-step explanation:

The expanded form of 320, 749

Segmenting each digit in the figure based on its place value :

3 = 100 thousand place = 3 * 100,000 = 300000

2 = ten thousand place = 2 * 10,000 = 20000

0 = thousand place = 0 * 1,000 = 0

7 = hundred place = 7 * 100 = 700

4 = tens place = 4 * 10 = 40

9 = unit place = 9 = 9

(300,000 + 20,000 + 0 + 700 + 40 + 9)

The most appropriate interval for the manager of a city recreation center to use for estimating the percent of city residents who favor a proposal to build a new dog park is a one-sample z-interval for a population proportion.

A one-sample z-interval for a population proportion is a type of confidence interval. It is used to estimate the true proportion of the population. In statistics, a confidence interval is a range of values that reflects the accuracy of the estimate.To construct a confidence interval, we first take a sample from the population. We then calculate the sample proportion and the standard error. After that, we determine the appropriate z-score for the desired level of confidence. Finally, we use those values to construct the confidence interval.

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

x = 30

Step-by-step explanation:

The sum of the interior angles of a triangle is 180

x + 65 + x + 55 = 180  Combine line terms

2x + 120 = 180  Subtract 120 from both sides

2x = 60  Divide both sides by 2

x = 30

Overall, the search for life beyond our planet remains an active area of research, and the Drake equation provides a useful tool for thinking about the likelihood of such life existing in our galaxy.

The simplified Drake equation provides an estimate of the number of technological civilizations that may exist in our galaxy, based on a series of variables. However, it does not directly provide an estimate of the total number of life-bearing planets in the galaxy.

The variables in the simplified Drake equation are: the rate of star formation in the galaxy, the fraction of stars that have planets, the average number of planets per star that are in the habitable zone, the fraction of those planets that develop life, the fraction of those that develop intelligent life, the fraction of those that develop technological civilizations, and the length of time such civilizations release detectable signals into space.

While the Drake equation does not provide an estimate of the total number of life-bearing planets in the galaxy, it does suggest that the likelihood of life existing on other planets is not negligible. By taking into account factors such as the number of stars in the galaxy, the number of planets that could potentially support life, and the likelihood of life developing on those planets, the equation provides a framework for thinking about the possibility of extraterrestrial life.

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The expected number of flips until getting the first heads is equal to the reciprocal of the probability of getting heads on a single flip, which is 1/p.

The number of independent flips x until the first heads follows a geometric distribution. In general, the probability of getting the first heads on the kth flip is given by \((1-p)^(^k^-^1^)\)p. Thus, the expected value or mean of the geometric distribution is E(x) = 1/p.

This means that on average, we need to flip the coin 1/p times until we get the first heads. For example, if the probability of getting heads is 0.5, then on average we need to flip the coin 2 times until we get the first heads. If the probability of getting heads is 0.1, then on average we need to flip the coin 10 times until we get the first heads.

The geometric distribution is a fundamental concept in probability theory and has many applications in fields such as finance, engineering, and computer science.

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Kim can arrange the 10 identical lamps on the 3 identical tables in 66 different ways.

Number of lamps= 10

Number of tables=3

For identical objects we have the following formula;

(n + r - 1)C(r - 1) (r - 1)

We thus have;

n + r - 1 = 10 + 3 - 1

            = 12

r - 1 = 3 - 1

      = 2

Thus,

(n + r - 1)C(r - 1) = ¹²C₂

Apply the following combination formula:

ⁿCr = n!/((n - r)!r!)

So, we have:

¹²C₂ = 12!/((12 - 2)! * 2!)

¹²C₂ = 12!/(10! * 2!)

¹²C₂ = 12 * 11 * 10!/(10! * 2!)

¹²C₂ = 132/2

       = 66

Therefore, there are 66 ways to put all the lamps on the tables.

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Answer:its c

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a reflection would be Reflected so its on the right side of the graph and the Z is facing the other way as if it were a literal reflection which it is.

Hope my awkward way of explaining this helps you on your test since i just passed mine and it said A was correct.

Answer:

A) (0,0)

Step-by-step explanation:

1.) graph the equation, 3x+2y = x+y

2.) the line intersects (0,0) on the coordinate plane

Answer:

y = 3/8x - 1.5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The formula for the area of a parallelogram is the same formula to get the area of a rectangle. In a rectangle, the height is the area divided by base. Therefore, the height of the parallelogram would simply be the area divided by base.

Answer:

C) 119.7°

Step-by-step explanation:

got it right on edge :)

Answer:

C. 119.7°

Step-by-step explanation:

A horizontal change of 96ft, there will be a vertical change of 3072ft.

The slope of a line is the ratio of the vertical change to the horizontal change between two points on the line. In other words, the slope is the rise over the run.

If the slope of a line is 32, that means that for every 1 unit of horizontal change, there is a 32 unit vertical change.

So, if the horizontal change is 96ft, we can use the slope formula to find the vertical change:

Vertical change = slope × horizontal change

Vertical change = 32 × 96

Vertical change = 3072

Therefore, for a horizontal change of 96ft, there will be a vertical change of 3072ft.

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Answer: Y=1

Step-by-step explanation:

Equation - y=mx+b

y2-y1

First point: )-4, 1)

second point: (2,1)

Finding the slope:

m=0

b = ?

1=0x+b

y=0x+1

so thats why its y=1

Service fee for the over the counter deposit of R700: R10.50

Service fee for the ATM withdrawal of R500: R11.50

To determine the service fee that Tilly will incur for the given transactions,

Over the Counter Deposit of R700:

Tilly is depositing R700, the fee will be:

Fee = R3.50 + (R1.00 per R100) x (R700 / R100)

= R3.50 + R7.00

= R10.50

Therefore, the service fee for the over the counter deposit of R700 is R10.50.

ATM Withdrawal of R500:

The fee for an ATM withdrawal at own bank is calculated as R6.50 + R1.00 per R100.

Since Tilly is withdrawing R500, the fee will be:

Fee = R6.50 + (R1.00 per R100) x (R500 / R100)

= R6.50 + R5.00

= R11.50

Therefore, the service fee for the ATM withdrawal of R500 is R11.50.

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To evaluate a function with a specific value in the domain you susbtitute in the equation of the function the independient variable (x) for the value in domain.

For x = -1 (a number n powered to a negative number (m) n^-m is equal to 1/n^m

For x=0 (any number powered to 0 is equal to 1)

For x = 1

For x = 2