Evaluate (4x+y)^2-3z for x=2,y=-1,and z=5

1) Let's evaluate that expression

3x+5

2) Since the value of x has been given, then let's plug that into the expression

3x+5

3(5) +5

15 +5

20

3) The answer is 20

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us \((-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}\)

Answer:

2 inches.

Step-by-step explanation:

8 / 4 = 2.

Answer:

7 hundredths

Step-by-step explanation:

add 4 to 6 and take away 3

Answer:

7 hundreds..................

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

a. 12 miles

b. 9 miles

c. 2 hours

d. 7 hours

e. 12 miles

f. 9 hours

g. 3 miles

h. 5 hours

Step-by-step explanation:

Answer:

a. 12 miles

b. 9 miles

c. 2 hours

d. 7 hours

e. 12 miles

f. 9 hours

g. 3 miles

h. 5 hours

Step-by-step explanation:

I did the test

Hope this helps :)

What do you mean by stwps? Please comment

Answer:

i can help u

Step-by-step explanation:

but i dont know what steps you need to memorize

Answer:

g(6) = 106 and f(4) = - 17

Step-by-step explanation:

g(x) = - 3x² - 2 and f(x) = - 4x - 1; f(4) and g(6)

Now,

g(x) = 3x² - 2

g(6) = 3(6)² - 2

= 3 × 36 - 2

= 108 - 2

g(6) = 106

Similarly,

f(x) = - 4x - 1

f(4) = - 4(4) - 1

= - 16 - 1

f(4) = - 17

Thus, g(6) = 106 and f(4) = - 17

-TheUnknownScientist

The total number of different signals consisting of flags is 216

Given data ,

The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.

There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.

Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.

Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:

3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!

where "!" represents the factorial operation, which is the product of all positive integers up to a given number.

So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:

3! × 3! × 3! = 6 × 6 × 6 = 216

Hence , the number of signals is 216

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A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

Step-by-step explanation:

x² = 80² + 39²

x² = 6400 + 1521

x² = 7921

x = 89 inches

Answer:

(172-45)x2=n

Step-by-step explanation:

(172-45)x2=n

Answer:

(172-45)×2=n

n= 254

...........

If a consumer demanded 10 Kg of potatoes when its price is Nu 20 per Kg. When the price of potatoes rises by 5 %. its price elasticity is -6.

First let's calculate the percentage change in quantity demanded:

Percentage Change in Quantity Demanded = (Change in Quantity Demanded / Initial Quantity Demanded) * 100%

Percentage Change in Quantity Demanded = (-15 / 10) * 100% = -150%

Next let's calculate the percentage change in price:

Percentage Change in Price = (5 / 20) * 100% = 25%

Now we can calculate the price elasticity of demand:

Price Elasticity of Demand = (-150% / 25%) = -6

Therefore the  price elasticity of demand in this scenario is  negative indicating that the demand for potatoes is elastic.

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Answer:

m = 0.122

Step-by-step explanation:

1 * 11 = 2 *45m

11 = 2*45m

11/2 = 45m

5.5/45 = m

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

By using probability, it can be calculated that-

Probability that the next chew Gianna removes from the bag will be cherry chew = 42.86%

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here, number of times an experiment is performed = 49

A pineapple chew was selected 25 times.

A cherry chew was selected 21 times.

A lime chew was selected 3 times.

Probability that the next chew Gianna removes from the bag will be cherry chew = \(\frac{21}{49} = \frac{3}{7}\)

         = \(\frac{3}{7} \times 100\)

         = 42.86%

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9514 1404 393

Answer:

  1250 square feet

Step-by-step explanation:

If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:

  A = x(2)(50-x)

We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.

Then the maximum area is ...

  A = (25)(2)(50 -25) = 1250 . . . . square feet

_____

Additional comment

Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.

Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)

Answer:

She bought \(\frac{5}{8}\) pounds of tuna on Friday

Step-by-step explanation:

Franny brought pounds of tuna at fish market on Monday =\(\frac{1}{4}\)

We are given that on Friday she bought two and a half times as much tuna bought on Monday

So, She bought pounds of tuna on Friday = \(2 \frac{1}{2} \times \frac{1}{4}\)

She bought pounds of tuna on Friday = \(\frac{5}{2} \times \frac{1}{4}\)

She bought pounds of tuna on Friday = \(\frac{5}{8}\)

Hence She bought \(\frac{5}{8}\) pounds of tuna on Friday

Answer:

The answer is 49

Step-by-step explanation:

We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.

We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:

14/42 = 0.3333

We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:

0.3333 * 147 = 49

Therefore, the best estimate for the number of dogs that suffer from the disease is 49.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Using geometry, we can find that the length of the line segment AC as per the distance between two points is= 18 ft.

What are line segments?

In geometry, a line segment's borders are determined by two distinct points on the line. Any portion of a line that connects two places is referred to as a line segment.

A segment has an endpoint, whereas a line doesn't.

What are some examples of line segments in the real world?

a scale, a ruler, a stick, and a boundary line.

Thus, the length of the line segment AC is = 18ft.

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Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer and Step-by-step explanation: Standard Deviation is the measure of how diferent a number is from the mean of the data set. It is the spread of a data set. To calculate it manually:

1) Find the mean of the data set. Mean, represented by μ, is the sum of all the values divided by the total number of elements forming the set;

2) Subtract each number with the Mean and square the result;

3) Add the differences and divide it by the total number of elements of the set;

4) Take the square root of the result and that is the Standard Deviation.

The calculations can be done by a calculator like Excel:

1) In each cell of a same column, write the data you want to know the deviation.

2) On the last cell, write: =stdev.p(A1:A10) or =stdev.s(A1:A10).

3) Press Enter. The deviation will appeared on the same cell.

The function STDEV.P is used when the data represents the entire population, whereas STDEV.S is used when the data is for a sample of the population. Inside the parenthesis, put the cells where your data is. For example, if you put your data in the column A, from cell 1 to cell 10, you write like it's written above.