A student drops a penny of a house that is 16 feet tall if the equation of height as a function is h(t)= -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the penny to hit the ground

Answer:

a. Percent error = 12.5%

b. Percent error = 20%

c. Product = 250

d. Area of rectangle = 200 cm²

Step-by-step explanation:

Given the following data;

Actual length = 40cm

Experimental length = 35cm

Actual breadth = 50cm

Experimental breadth = 60cm

To find the following values;

a. Percentage error in length;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]

Substituting into the formula, we have;

[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]

[tex] Percent \; error = \frac {5}{40} *100[/tex]

[tex] Percent \; error = 0.125 *100[/tex]

Percent error = 12.5%

b. Percentage error in breadth;

[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]

[tex] Percent \; error = \frac {10}{50} *100[/tex]

[tex] Percent \; error = 0.2 *100[/tex]

Percent error = 20%

c. Product of the error;

Product = 12.5 * 20

Product = 250

d. Area of the table top;

Dimensions = 50 * 40 cm

Area of rectangle = length * breadth

Area of rectangle = 40 * 50

Area of rectangle = 200 cm²

Answer:

Dele ;left home at exactly 7:35

Step-by-step explanation:

hope this helps

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

Answer:

1.20

Step-by-step explanation:

[tex] 12 \div 10 = 1.20[/tex]

Answer:

Try 1/6, if not then search up Fraction Calculator it should be Calculator.net

Answer:

I think it is D.

Step-by-step explanation:

It is a guess, but I am not fully sure.

If correct, may I have a brainliest?

                      XxRoadToAcexX

Answer:

D) 17.51

Step-by-step explanation:

D) 17.51

Answer:

The number of checks processed at a bank in a day is categorical data.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the number of checks processed at a bank in a day is discrete data.

Answer:

screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Answer:

D

Step-by-step explanation:

Have a Nice Day

Answer:

(x^2 - 2)(y^3 - 2)

Step-by-step explanation:

I got it right on Iready

Answer:

y=15x+10

Step-by-step explanation:

This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.

It is not x=-5 because that would be a straight vertical line.

It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.

Answer:

48,000

Step-by-step explanation:

SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.

Answer:

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]

The margin of error is of:

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So

[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]

[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]

Upper bound:

The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus

[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]

And the correct answer is given by option c.

Answer:

your answer choices don't make sense

Answer:

y = 2x+4

Step-by-step explanation:

When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.

x = 1 —> y = 2(1)+4 = 6

x = 3 —> y = 2(3)+4 = 10

x = 5 —> y = 2(5)+4 = 14

x = 7 —> y = 2(7)+4 = 18

x = 9 —> y = 2(9)+4 = 22

Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.

Answer:

The answer is "[tex](25.32, 30.68)[/tex]"

Step-by-step explanation:

Given:

[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]

When [tex]98\%[/tex] confidence level so, the z:

[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]

[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]  

[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]

When  98% confidence interval estimate of the population mean  is,

[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]

Answer:

The area is 56.7 square inches

Step-by-step explanation:

Given

See attachment for corner shelf

Required

The area

The corner shelf is a quadrant with radius;

[tex]r = 8.5in[/tex]

The area of a quadrant is:

[tex]Area = \frac{\pi r^2}{4}[/tex]

So, the area of the corner shelf is:

[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]

[tex]Area = \frac{\pi * 72.25}{4}[/tex]

[tex]Area = \pi * 18.0625[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = 3.14 * 18.0625[/tex]

[tex]Area = 56.7[/tex] -- approximated

Answer:

Model B

Step-by-step explanation:

First, solve what each model means:

Model A:

6 boxes, 2 shaded

2/6=1/3

1/3 is approximately 33.35

Model B:

8 boxes, 3 shaded

3/8 is 37.5%

this is the answer, but we can go ahead and check the other boxes

Model C:

5 boxes, 2 shaded

2/5 is 40%

Model D:

7 boxes, 3 shaded

3/7 is approximately 42.9%

Lmk if you have more questions!

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3

The general equation of this is;

y = A cos bx

We are told that the period of the graph is 8

We know that 2π/b = period

Thus;

2π/b = 8

b = ¹/₄π

We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4

Thus the required equation is y = -4cos(¹/₄πx) - 3

Read more about period of graph at; https://brainly.com/question/10700288

Answer:

x = 4.47 or 2√5

Step-by-step explanation:

x² = 20

x = √20 = 4.47 or 2√5

Answer:

x = 2√5 or 4.472135955

Answer:

here,

38+X=180 (being straight line)

or,X=180-38

therefore, X=142 ans,,,

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

Answer:

51

Step-by-step explanation:

Answer:

2

use y2 - y1 / x2 - x1

5 - 1 / 4 - 2 = 4/2 = 2

Answer:

[tex]2[/tex]

Step-by-step explanation:

1. Find the difference between the two y values. 5 − 1 = 4

  This is usually called the "rise" of the line.

2. Find the difference between the two x values. 4 − 2 = 2

   This is usually called the "run" of the line.

3.  Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Answer:

the answer is 2

Step-by-step explanation:

Answer:

It is correct.

Step-by-step explanation:

Answer: $23.5

Step-by-step explanation:

0.5(x) + 11

0.5(25) + 11

$23.5