32. A person who is 5 feet tall is standing 80 feet from the base
of a tree. The tree casts an 86-foot shadow. The person's
shadow is 6 feet in length. What is the tree's height?

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

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)

Answer:

Slope is 4/3

Step-by-step explanation:

Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.

The formula of slope between two points can be expressed as several equations, expressions, etc such as:

\(\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}\) where m is a variable representing the slope.

Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.

Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is \(\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}\)

Therefore the slope of two points is 4/3.

__________________

Let me know in comment if you have any questions.

a) The best description of the bias in the survey is A. Nonresponse bias.

b) To remedy this bias, B. The polling organization should try contacting households that do not respond by phone or face-to-face.

Nonresponse bias is the type of bias when survey participants are not interested in the survey or send an empty or unsatisfactory response.

Nonresponse bias means that the sample is filled with those who are not willing or able to respond, making the number of non-respondents surpass the number of respondents.

Thus, a response of 22/1,495 is too significant to be ignored, meaning that the nonresponse bias is much more critical.

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responded.

a) Which of these best describes the bias in the survey?

A. Nonresponse bias

B.  Sampling bias

C. Undercoverage bias

D. Response bias

b) How can the bias be remedied?

A. The polling organization should mail the questionnaire to a greater number of households.

B. The polling organization should try contacting households that do not respond by phone or face-to-face.

C. The polling organization should mail the questionnaire to each person in the household.

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

The required p(x > 4) when the probability of success and number of trials in the binomial process are given is calculated to be 0.01024.

It is given that the success is 40 percent.

So, the probability of success (p) is 0.40.

The number of trials (n) is 5.

Now, let us find out p(x > 4)

p(x > 4) = p(5)

⇒ ⁵C₅ (0.4)⁵ (1 - 0.4)⁰

⇒ 1 × (0.4)⁵ × 0.6

⇒ 0.01024

Thus, the required p(x > 4) is calculated to be when the probability of success and number of trials in the binomial process are found out.

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The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.

The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).

The equatiοn is given belοw.

x² + 16x = 22

Add bοth side 64.

x² + 16x + 64 = 22 + 64

        (x + 8)² = 86

Then the cοrrect οptiοn is A.

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Complete question:

Which equation is equivalent to the given equation? x² + 16x = 22

a. (x+8)² = 86

b. (x+8)² = 38

c. (x+16)² = 278

d. (x+4)² = 22

The number of stamps of each type that she had initially is given as follows:

The number of stamps is obtained by a system of equations, for which the variables are given as follows:

Mingfa had a total of 332 Singapore and Malaysian stamps, hence:

x + y = 332.

After selling half of the Singapore stamps and buying another 34 Malaysian stamps, he had as many Singapore stamps as Malaysian stamps, hence:

y + 34 = 0.5x

y = 0.5x - 34.

Replacing the second equation into the first, the value of x is given as follows:

x + 0.5x - 34 = 332.

1.5x = 366

x = 366/1.5

x = 244.

Then the value of y is of:

y = 332 - 244

y = 88.

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Step-by-step explanation:

we first of all move 20 behind the comma for it to become -20 +3 and we get -17.

then use the product =-34

sum = 3

factors then continue

Answer:

\(x= \frac{-3 - \sqrt{145} }{4} \ \ or\ \ x= \frac{-3 + \sqrt{145} }{4}\)

Step-by-step explanation:

2x² + 3x + 3 = 20​

⇔ 2x² + 3x + 3 - 20 = 0

⇔ 2x² + 3x - 17 = 0

Using the Quadratic Formula to solve a Quadratic Equation :

\(x= \frac{-b \pm \sqrt{b^{2}-4ac} }{2a}\)

In the equation 2x² + 3x - 17 = 0

a = 2  ,  b = 3  and c = -17

Then

b² - 4ac = 3² - 4×2×(-17)

           = 9 + 8 × 17    

           = 9 + 136    

           = 145

Then

b² - 4ac > 0

Then

\(x= \frac{-3 \pm \sqrt{145} }{2 \times 2}\)

Then

\(x= \frac{-3 \pm \sqrt{145} }{4}\)

Answer:

i believe the answer is 15 milliliters

Step-by-step explanation:

Answer:

Figure it out yourself

Step-by-step explanation:

Using the Empirical Rule, it is found that the percentages are given as follows:

a) 2.5%.

b) 81.5%.

It states that, for a variable that has a normal distribution, approximately:

The mean and the standard deviation of the heights are given as follows:

Hence, in item a, we have that 64 is two standard deviations below the mean, and considering the symmetry of the normal distribution, 2.5% of the heights are below that.

For item b, the range is between two below and one above, hence the percentage is:

P = 0.5 x 95 + 0.5 x 68 = 81.5%.

The graph given at the end of the answer shows the distribution of heights according to the 68-95-99.7 rule.

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Answer:

it is 10 rounded hope it help

A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The average rate of change of function f(x) over the interval 12 ≤ x ≤ 21 is 2/3

We use the formula of average rate of change of function over the interval [x1, x2],

r = [f(x2 - f(x1)]/ (x2 - x1)

We need to find the average rate of change of function f(x) over the interval 12 ≤ x ≤ 21

r = [f(21) - f(12)] / (21 - 12)

r = (31 - 25) / 9

r = 6/9

r = 2/3

Therefore, the average rate of change of function f(x) over the interval 12 ≤ x ≤ 21 is 2/3

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If a rectangular play area has an area of 7,497 square meters. and the width of the rectangle is 49 meters, then the length is 153 meters

A rectangular play area has an area of 7,497 square meters

If the width of the rectangle is 49 meters

Let the length of the rectangular play be l

Area of a rectangle can be given by

area = length x width

7497 = l x 49

l = 7497 / 49

l = 153

Therefore, if a rectangular play area has an area of 7,497 square meters. and the width of the rectangle is 49 meters, then the length is 153 meters

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The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

10miles I think

Step-by-step explanation:

The required distance between, Nate's house and the restaurant is 7.5 miles.

From the graph,

Consider point C on the graph, which is 6  and 8 units apart from A and B respectively.

The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units

Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles

Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.

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Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Problem

x^2 - 8x + 16

Solution

For this case we need to find two numbers a and b that added would be -8 and multiplied 16 and then we see that the two numbers are:

a= b= -4

because a+b = -4-4=-8

a*b= -4 (-4) = 16

And then the best answer for this case is:

(x-4)²

Answer: The answer is b

Step-by-step explanation:

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

Answer: C

Definition of a conditional:

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

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Answer:

Step-by-step explanation:

11/20 = 55/100 = 55%

Answer:

90 Pomegranate and 55 iZac

Step-by-step explanation:

Represent Pomegranate with p and iZac with i

The data can be represented in the following table.

\(\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}\)

The table can be represented as follows:

\(400p + 300i = 52500\) --- (1)

\(80p + 100i = 12700\) ---- (2)

Multiply equation (2) by 3

\(3 *\ (\)\(80p + 100i = 12700\)\()\)

\(240p + 300i = 38100\) ---- (3)

Subtract (3) from (1)

\(400p - 240p + 300i - 300i = 52500 - 38100\)

\(160p = 14400\)

Divide both sides by 160

\(p = 90\)

Substitute \(p = 90\) in (2)

\(80p + 100i = 12700\)

\(80 * 90 + 100i = 12700\)

\(7200 + 100i = 12700\)

Collect like terms

\(100i = 12700 - 7200\)

\(100i = 5500\)

Divide by 100

\(i = 55\)

So;

\(p = 90\) and \(i = 55\)

Answer:

ur not domb

Step-by-step explanation: