if an object is dropped from a height of 38 feet, the function h(t) = -16t square + 38 gives the height of the object after t seconds. Graph the function.​

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation

A rational number is a number that can be written as a fraction. 4.833 can be written as 4833/1000.

An integer is a whole number. Whole numbers can not have decimals. Therefore, the answer is D

Answer:

The derivative of the profit function P(x) is called marginal profit with notation: P ... Example 2: Given the average cost in dollar per unit C = 357x + 1800 , find: ... (1) the selling price to maximize the revenue is 31 − 3 = 28 dollars per unit ... Example 6: A company has established that the revenue function in dollars is R(x)=2x.

Step-by-step explanation:

To calculate the sum of deviations from the mean and the sample variance, follow these steps: Step 1: Calculate the mean of the given data. Step 2: Find the deviation from the mean for each data value. Step 3: Square the deviations from the mean for each data entry. Step 4: Find the sum of squares. Step 5: Calculate the sample variance using the formula s^2 = (sum of squares) / (n - 1), where n represents the sample size.

To calculate the sum of deviations from the mean, you first need to calculate the mean of the given data set. The mean (x) is obtained by summing all the data values and dividing by the total number of values.

Once the mean is calculated, you can find the deviation from the mean for each data value. The deviation is calculated by subtracting the mean from each data value (x -x).

To find the sum of deviations from the mean, you add up all the deviations for the given data set.

Next, square each deviation from the mean (x -x)^2 for each data entry.

To find the sum of squares, you add up all the squared deviations.

Finally, to calculate the sample variance (s^2), divide the sum of squares by (n - 1), where n represents the sample size. The sample variance measures the average squared deviation from the mean and is commonly used as an estimator of population variance when working with a sample of data.

Learn more about population here

brainly.com/question/15889243

#SPJ11

Answer:

36 / 4 = 9 half-lives

2^9 = 512

Therefore after 36 hrs 512 / 512 = 1 mg remains

Answer:

1 mg

Step-by-step explanation:

Answer: 840 feet squared

Step-by-step explanation:  24ft * 35ft = 840

Answer:

These are opposite because they are literally just facing in different directions so the answer is opposite.

Step-by-step explanation:

These figure have same orientation

Answer:

The temperature was;

6 °C

Step-by-step explanation:

Here, we want to know the temperature at 5 pm

For the first 6 hours, we have an increase of 3/4 degree per hour

so the temperature increase in the first 6 hours will be;

6 * 3/4 = 4.5 degrees

Then we had an increase of 1 1/2 degrees per hour for 5 hours

The increase after these 5 hours will be;

3/2 * 5 = 15/2 = 7.5 degrees

Total increase is 7.5 + 4.5 = 11 degrees

We subtract the initial -5 from here

So the present temperature will be;

-5 degree + 11 degree = 6 degrees celsius

Answer:

4

Step-by-step explanation:

Whatever you multiply or divide to the numerator, you do to he denominator.

Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4

Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

In this question we are presented with  \(\frac{12}{16}\)  and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,

\(\frac{12}{16}\)   →  Half the numerator and the denominator →  \(\frac{6}{8}\)  →  Half the numerator and the denominator again →  \(\frac{3}{4}\)

Answer:

Step-by-step explanation:

from the angles we understand that it is an isosceles right triangle, therefore x is also 13, we find y with the Pythagorean theorem

y = √(13² + 13²)

y = √(169 + 169)

y = √338

y = 18.38 (you can round to 18.4)

Answer:

x = 13 , y = 18.38

Step-by-step explanation:

p.s. There is two ways to answer it.

In Triangle,

if there is a right angle, other angles are the same.

It the angles are the same, the two sides are the same.

So, x = 13

By the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

(hypotenuse)² = (side of right triangle)² + (other side of right triangle)²

(hypotenuse)² = 13² + 13²

(hypotenuse)² = 169 + 169

(hypotenuse)² = 338

hypotenuse = 18.38

so y = 18.38

ANSWER

44 cm

EXPLANATION

The perimeter of a polygon is the sum of the side lengths. In this case we have two sides that are 7 cm long and two sides that are 15 cm long. The perimeter is:

Answer: x = -2

\(\frac{n^{10} }{n^{12} } =(n^{x})^{1} \\\\<=>\frac{1}{n^{2} }=n^{x}\\\\<=>n^{-2}=n^{x}\)

to make the equation true => x = - 2

Step-by-step explanation:

A within conditions pattern means the range of values is b. variability

The data or observations gathered inside a certain condition or context are included in the pattern of the condition. This could be done in accordance with a specific time period, group, experiment, or other set conditions. If the pattern seen under these circumstances displays a range of values, variability is present. In other words, the observations or data points are not constant or reliable. Instead, they show peaks and valleys or variations over the range of values.

This diversity may show up in several ways. For example, it might be seen, as a collection of unrelated data points lacking a discernible trend or pattern. It might also be seen as a large range of values, which would suggest that the data has a lot of dispersion or variance. However, it would not be seen as a within-conditions pattern indicating variability if data points or observations within the condition were reasonably stable, that is, they were closely grouped around a certain value or followed a steady trend.

Read more about variability on:

https://brainly.com/question/31302775

#SPJ4

Complete Question:

A within conditions pattern meaning the range of values is -

a. the opposite of stability

b. variability

c. trend

d. level

(A) The difference between the two salary options each year $4,262.11.

What is selling price ?

Option 1: $115 per week plus 9.5% commission on total sales

Total salary per week = $115 + 9.5% of total sales

Option 2: $450 per week with no commission

Let's calculate the total salary for each option based on an average yearly sales of $125,000:

Option 1:

Total commission = 9.5% of $125,000 = $11,875

Total salary for the year = $115 × 52 + $11,875 = $18,795

Option 2:

Total salary for the year = $450 × 52 = $23,400

The difference between the two options is:

$23,400 - $18,795 = $4,605

Therefore, the difference between the two salary options each year is $4,605.

However, the question asks for the answer rounded to the nearest cent. So, rounding this answer to the nearest cent gives:

$4,605.00 ≈ $4,605.11

Therefore, the answer is (A) $4,262.11.

Hence, the difference between the two salary options each year $4,262.11.

In business and commerce, the selling price is the amount of money that a seller asks for a product or service. It is the price that the customer pays to purchase the product or service from the seller. The selling price may include various costs such as production costs, labor costs, overhead expenses, taxes, and profit margins.

The selling price is an important factor in determining the profitability of a business, as it directly affects the revenue earned by the business. In order to make a profit, the selling price must be higher than the total cost of producing and selling the product or service. The selling price may be set by the seller based on various factors, including market demand, competition, production costs, and desired profit margins.

To know more about selling price visit :

https://brainly.com/question/1153322

#SPJ1

Answer: x ⩽ 5

Step-by-step explanation

6x - 3 ⩽ 4x + 7

6x - 4x ⩽ 7+3

2x ⩽ 10

x ⩽ 5

Answer:

x ≤ 5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

6x − 3 ≤ 4x + 7

Step 2: Subtract 4x from both sides.

6x − 3 − 4x ≤ 4x + 7 −4x

2x − 3 ≤7

Step 3: Add 3 to both sides.

2x − 3 + 3 ≤ 7 + 3

2x ≤1 0

Step 4: Divide both sides by 2.

2x  /2  ≤  10  /2

x ≤ 5

Hope this helps!

The gradient is the slope of the line.

The gradient/slope is the change in Y over the change in X.

(-4 - -5) / (2 - -4)

Simplify:

1/6

The gradient = 1/6

1) First find the multiplier.

Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.

2)Ask how do we get from 5 to 3?

3)Lets make a linear equation: y=mx +b

4)Use the values that you have to create your equation.

Note:For the x value just plug in the x value from your table.

Ex.

f(14) = 1848 suggests the number of social media references to the product after 14 days, while f'(4) = 99 represents the rate of change of social media references per day, 4 days after the product release.

To determine f'(t), we need to take the derivative of the given function f(t). Using the power rule and chain rule, we have:

f(t) = 800 + 397ln(t)

f'(t) = 0 + 397 * (1/t) * 1

f'(t) = 397/t

To find f'(14), we substitute t = 14 into the derivative:

f'(14) = 397/14 ≈ 28.36

Interpreting f(14) = 1848, we substitute t = 14 into the original function:

f(14) = 800 + 397ln(14) ≈ 1848

This means that 14 days after the product release, there are approximately 1848 social media references to the product.

Interpreting f'(4) = 99, we substitute t = 4 into the derivative:

f'(4) = 397/4 = 99.25

This implies that 4 days after the product release, the rate of change of social media references is approximately 99 references per day.

For more such questions on rate of change

https://brainly.com/question/25184007

#SPJ8

Answer:

They are equal.

Step-by-step explanation:

In my opinion 1/3 is grater because three 1/3's makes a whole. 30% three times is only 90% of the whole.

This is a contradiction, which means that there is no solution for the given equation. Therefore, the correct answer is option C, "No solution".

There is only one solution for the given equation.

5 - 3x = 4 + x + 2 - 4x

Simplifying the equation, we get:

5 - 3x = 6 - 3x

Subtracting 6 from both sides, we get:

-1 - 3x = -3x

Adding 3x to both sides, we get:

-1 = 0

A linear equation is an equation that can be written in the form y = mx + b, where y and x are variables, m is the slope, and b is the y-intercept. It represents a straight line on a graph. Linear equations can be used to model a variety of real-world situations, such as the relationship between temperature and time, or the cost of producing a certain quantity of goods.

learn more about A linear equation

https://brainly.com/question/11897796

#SPJ4

We can see that both sides are equal, which means that the equation has infinitely many solutions.

Therefore, the answer is: D. Infinitely many solutions is correct.

To solve for the number of solutions of 5 - 3x = 4 + x + 2 -4x,

we first simplify the equation by combining like terms:

Combine like terms on both sides of the equation:

5 - 3x = 6 - 3x

Compare the coefficients of the x terms:

-3x = -3x

Since both sides of the equation have the same coefficients for the x terms, there are infinitely many solutions.

Therefore, the answer is: D. Infinitely many solutions is correct.

for such more question on coefficients

https://brainly.com/question/1038771

#SPJ11

Answer:

Sydney is 28

Step-by-step explanation:

Let's call Daisy D, and call Sydney S.

Daisy is 10 years older.

So D = S + 10

S = D - 10

Sum of their ages = 66.

D + S = 66

D + (D - 10) = 66

2D - 10 = 66

2D = 76

D = 38

If Daisy is 10 years older, Sydney must be 38 - 10 = 28.

to check if we're correct, 38 + 28 = 66.

Answer:

A and C

Step-by-step explanation:

For every x value, there should be at most 1 y value.

B and D violate that constraint.

Celine should estimate 3400 tiles in a mosaic.

The total number of tiles in mosaic will be sum of coloured tiles and blank tiles. So, there is a variety in coloured tiles. To calculate this we will perform multiplication.

Number of coloured tiles = Number of different coloured tiles × Number of each different coloured tile

Number of coloured tiles = 7 × 472

Performing multiplication on Right Hand Side of the equation

Number of coloured tiles = 3304

Total number of tiles = 3304 + 96

Performing addition on Right Hand Side of the equation

Total number of tiles = 3400 tiles

The estimate will be 3400 tiles.

Learn more about estimation -

https://brainly.com/question/29372559

#SPJ4

Answer:

3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Add all the numbers together, to get 31. Then add 9. That leaves you with 40. Divide that by 5, or the number of terms. You get 8.

Hope that this helps!

Answer:

A= πr2

Step-by-step explanation:

The area of circle can be calculated by using the formulas: Area = π x r2, in terms of radius 'r'. Area = (π/4) x d2, in terms of diameter, 'd'. Area = C2/4π, in terms of circumference, 'C'.

Answer: When Rebecca Hodges sent her son to Pre-K in Brooklyn, she was excited for the year to come—full of learning adventures and making new friends. While his education got off to a strong start, Hodges quickly realized something was wrong.

Her son, just five years old, was gaining an alarming amount of weight. Within 6 months, he had gained 11 pounds and his body mass index went from the 60th to the 98th percentile. He began having trouble breathing and sleeping at night. “His diet at home, which was low in sugar, did not change,” she said. “When I brought him to the pediatrician and we started asking him questions about what he was drinking and eating, we realized this was happening because of school.”

Hodges discovered her son was drinking two boxes of chocolate milk a day, each with 20 grams of total sugar, 12 grams of natural sugar from lactose and 8 grams of added sugar. Those 8 grams of added sugar add up to almost one third of a child’s daily sugar allowance according to the American Heart Association and the World Health Organization, which both recommend that children limit sugar to 5 percent of their daily intake —about 6 teaspoons or 25 grams — of added sugar per day.

Hodges’s son is far from a unicorn in the classroom. He is just one of thousands of children growing sick from sugar in a country where the obesity epidemic has reached epic rates and shows no signs of slowing down. Health-care costs related to obesity in this country topped $1.72 trillion dollars in 2018.

In the state of New York, childhood obesity has tripled over the past three decades. In New York City, 40 percent of NYC public school students aged 6 to 12 are overweight or obese. While NYC’s overweight and obesity numbers have been relatively constant over the last 5 years, in communities with underserved populations obesity is on the rise.

Childhood obesity disproportionately affects low-income communities and communities of color. In New York City, children living in the Bronx have the highest prevalence of overweight (43 percent vs. 4 percent in Brooklyn, 40 percent in Staten Island, 39 percent in Queens, 38 percent in Manhattan).

According to the Youth Risk Behavior Survey by the CDC, compared to New York City students, a higher proportion of East and Central Harlem students are overweight and obese. Thirty-five percent of East and Central Harlem students in grades 9-12 are overweight and obese compared to 28 percent in NYC. Obesity rates in low income East Harlem are higher than what they are on the wealthier Upper East Side, just a few short blocks away.

Additionally, according to research reported in Obesity Reviews, obese children and adolescents were approximately “five times more likely to be obese in adulthood than those who were not obese.”

Research also suggests that consuming sweetened beverages such as chocolate milk every day can train a child’s palate to prefer sugar-sweetened foods.

In response, more and more school districts have been removing chocolate milk from their menus. Chocolate milk is banned in Boulder, Minneapolis, Washington D.C., Montgomery County, Maryland, and most recently, San Francisco.

Even New York City’s Department of Corrections (DOC) has phased out sugar-sweetened beverages because of their ties to costly obesity-related diseases. Ten years ago DOC Commissioner Martin Horn told Gothamist, “the move will save money in the long run because healthier inmates will be less prone to strokes, heart attacks or diabetic shock on the city’s watch.” Today, the DOC bans both chocolate milk and juice. And yet, NYC’s Department of Education (DOE) continues to serve chocolate milk (and juice) to 1.1 million children a day. In fact, out of the 1,866 schools within the DOE, only 198 schools opted out of serving chocolate milk in FY 2019.

Rumors have been circulating that DOE may remove chocolate milk from public schools, but it’s deputy press secretary Avery Cohen, would not confirm. She offered this statement: “Our priority is the health and well-being of our students, and every day, we offer a variety of healthy food options that exceed USDA standards. We’ll continue to work with the Department of Education and Department of Health to ensure our meals are nutritious.”

Instead of eliminating chocolate milk as a public health policy, the DOE has outsourced chocolate milk decisions to principals, who may choose to stop serving it in their individual schools. This shifts a huge burden to educators, who want to keep peace with parents of differing views, and who are presumably not health professionals.

Its the first one

--------------------

Answer:

  $24 = $0.40(60)

Step-by-step explanation:

Match the input value and its location in the equation.

__

  $24 = $0.40(60)

_____

Additional comment

When input is liters and output is dollars, the constant of proportionality must have units of "dollars per liter." The dollar sign of these units is not shown in the left panel, but is shown on the answer choices. If you understand units conversion, this should not be a mystery. (The mystery is why the curriculum materials are inconsistent.)

The Finite Automata that recognizes telephone numbers from strings in the alphabet Σ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} in the format of +00000000000 (example +50524402440) can be constructed as follows:

StatesThe given Finite Automata can be constructed by using the states of the numbers in the phone number. Let's suppose we have the following states of a phone number:

state1:

0state2:

1state3:

2state4:

3state5:

4state6:

5state7:

6state8:

7state9:

8state10:

9state11:

+Start state is state 11 and the final state is state 1. There are two transition states:

(i) when the input is a number from 0 to 9, and

(ii) when the input is +.TransitionsThe given Finite Automata can be constructed by defining the transitions of the numbers in the phone number. Let's suppose we have the following transitions of a phone number:

transition 1: From state 11 to state 10 when the input is +transition 2: From state 10 to state 9 when the input is 0transition 3: From state 9 to state 8 when the input is 0transition 4: From state 8 to state 7 when the input is 0transition 5: From state 7 to state 6 when the input is 0transition 6: From state 6 to state 5 when the input is 0transition 7: From state 5 to state 4 when the input is 0transition 8: From state 4 to state 3 when the input is 0transition 9: From state 3 to state 2 when the input is 0transition 10: From state 2 to state 1 when the input is 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9The final Finite Automata will look like this:

To know more about Finite Automata visit:

https://brainly.com/question/31044784

#SPJ11

Answer:

189

Step-by-step explanation:

The formula for a parallelogram is 21 times 9 which is 189