14. A surveyor observes that the top of a building makes an angle of 32° with the road.From another location 300 ft. from the base of the building, the angle of elevation is 22°How far is the base of the building from the first observation point, ×, on the road?

In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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The shaded amount can be express as a single fraction and mixed fraction below

The given situation can be solved using the differential equation and the top of the ladder slides downward at 0.417 ft/s.

Let:

x be  the distance from the bottom of the ladder to the base of the wall

y  be the distance from the top of the ladder to the bottom of the wall

When the ladder is still, apply the Pythagorean Theorem,

x² + y² = 13²

5² + y² = 13²

y² = 169 - 25 = 144

y = 12 ft

When the ladder slides, apply the differential equation:

x² + y² = 13²

2x . dx/dt + 2y . dy/dt = 0

Substitute x = 5, dx/dt = 1, y = 12

2 . 5 . 1 + 2 . 12 . dy/dt = 0

24 dy/dt = -10

dy/dt = -5/12 = - 0.417 ft/s

The minus sign indicates that the ladder is sliding downward.

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Three decimal that sum of 114.056 is 52.2+34.15+28.5.

What is decimal?

decimal is a term that describes the base-10 number system, probably of the most commonly used the  number system. The decimal number system of  consists of ten single-digit numbers.

We will represent this as 1.5 pizzas in decimal form. In this case, the dot stands in for the decimal point, the number before the dot, in this case "1," represents one whole pizza, and the number after the decimal point, or the fractional part, represents the other half of the pizza. You may have seen decimal numbers similar to these while grocery shopping, on a scale, or even during a baseball game.

Sol- we have to add three decimal that have a sum of 114.056 no parts are given here.

Let's take

X+Y+Z = 114.056

We need to add any particular number here

Let's put 52+34+28

Still we need .056 extra

So we have to add points here

52.2+34.15+28.5

So these are 3 decimal point.

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The baker has 13/3 pounds of sugar.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

We have been given two fractions.

The three containers have 3/4 pounds of sugar and fourth one have 1/2 pounds of sugar.

To find the total sugar, we have to add both the fractions

Total pounds of sugar = Sugar in three containers + sugar in fourth container

= 3/4 + 1/3

= (9 + 4)/3

= 13/3 pounds

So, the total sugar the baker has is 13/3 pounds.

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Answer:

255 ^t because the amount if toothpicks depend on the number of boxes she/he gets.

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = [tex]\frac{n!}{(n-r)!r!}[/tex]

Consider the total combination C (14, 5),

[tex]C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002[/tex]              

Consider the combination of men C (7, 5) ,

[tex]C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21[/tex]

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

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A linear function is a function in which we add multiple of a constant.

Given data:

We have

Clearly, we have add multiples of 480 to 18,250.

So, the given function represents a linear function.

So, the correct option is (a).

The equation of the line in standard form is -1/2x + y = 1 or y = 1/2x + 1 in slope-intercept form.

(note: none of the option given is correct).

In standard form, the equation of a line can be expressed as Ax + By = C, where x and y are coordinate of a point on the line, A, B, and C are integers.

This equation can be rewritten in slope-intercept form as y = mx + b, where b is the y-intercept and m is the slope.

Given:

Substitute m = 1/2, x = 4, and y = 3 into y = mx + b to find b:

3 = 1/2(4) + b

3 = 2 + b

3 - 2 = b

1 = b

b = 1

Write the equation by substituting b = 1 and m = 1/2 into y = mx + b:

y = 1/2x + 1

Rewrite in standard form

- 1/2x + y = 1

Thus, none of the options is correct, The equation is: y = 1/2x + 1 in slope-intercept form or - 1/2x + y = 1 in standard form.

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Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

Answer:

0.49 to nearest hundredth

Step-by-step explanation:

tan 26⁰ = 0.48773

Answer: 126

Step-by-step explanation:: 90 ÷ 10 = 9 (10%) 9 × 4 = 36 (40%) 90 + 36 = 126

The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

Then to find the mass we just multiply the weight in pounds by 0.45:

Therefore the other person has a mass of 45 kg.

The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

Then to find the mass we just multiply the weight in pounds by 0.45:

Therefore the other person has a mass of 45 kg.

Answer:

-29.8

Step-by-step explanation:

4 (-1.2-4-4.75) +1+(-3)²

4 (-1.2-4-4.75) +1+(-3)²

4 (-9.95) +1+9

4 (-9.95) +1+9

-39.8 +1+9 = -29.8

The function f(x) = 600(0.75)^x. is a decay function by 25%

The equation of the function is given as

f(x) = 600(0.75)^x.

The above function is an exponential function

An exponential function is represented as

y = ab^x

When f(x) = 600(0.75)^x. and y = ab^x are compared, we have

b = 0.75

The value of b in this case is the factor

Also if b is less than 1, then the function is a decay function

0.75 is less than 1

So, the function represents a decay function

The decal percentage is then calculated as

Decay = 1 - b

So, we have

Decay = 1 - 0.75

Evaluate

Decay = 25%

Hence, the function is a decay function

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Step-by-step explanation:

i don't knowhdjkedgeike

Both Adam and Rena re both correct regarding the expression.

An expression simply means an illustration that can be used to represent a scenario or situation.

From the information, Adam writes the expression d−0.75d to find the sale price of the game if the original price is d dollars.

Rena correctly writes another expression, 0.25d, that will also find the sale price of the game if the original price is d dollars.

In this case, they are both correct. This can be illustrated as:

= 1 - 0.75d

= 0.25d

Note that the information was answered based on the information given.

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Answer:

> -24.32 I hope that help so it is a on your screen

Answer:

15

Step-by-step explanation:

The number with 3,4 and 8 as its factors is 24

The least common multiple(LCM) can be defined as the smallest multiple that two or more numbers have in common

The Lowest Common Multiples of 3 are:3, 6, 9, 12, 15, 18, 21, 24, 27 and 30

The Lowest Common Multiples of 4 are:  4, 8, 12, 26, 20, 24, 28, 32, ...

The Lowest Common Multiples of 8 are: 8, 16, 24, 32, 40, 48, ...

From the Lowest Common Multiples above, 24 is the only number that is common among the multiples of 3,4 and 8

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Considering the Graph and reading the distance blocks from the store to the bank we see a progression of 3blocks

This is further explained below.

Generally, There is a concept referred to as distance that may be used to quantify, either quantitatively or qualitatively, the distance that separates two items or sites.

When speaking about physics or using the phrase in everyday language, "distance" may either refer to a literal measurement or an estimate based on a number of other parameters.

Both meanings are appropriate when discussing or using the term.

The progression of existence and events that occur in what seems to be an unstoppable order beginning in the past, continuing through the present, and moving into the future is what we refer to as time.

Time may be broken down into three distinct parts: the past, the present, and the future.

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Answer:

40,60,80

Step-by-step explanation:

let 2x 3x and 4x

9x=180

x=20

2x=40

3x=60

4x= 80

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Answer: (2, 5/2)

Step-by-step explanation:

CD=(2, 4),(2, 1)

((2+2)/2, (4+1)/2)=

(4/2, 5/2)=(2, 5/2)

Answer:

Yes.

Step-by-step explanation:

Replace x with 2 and y with 1 and see if the equation is true

x - 4y = -2

2 - 4(1) = -2

2 - 4 = -2

-2 = -2

The statement is true so the point is on the line.

The place value of 9 in 194.6 is tens or 90.

According to the question,

We have the following expression:

194.6

Now, we know that place value of any digit can be found easily. The place value of the digit at the right most corner (of a number without any decimal point) is unit, left to this digit we have place value of tens, then we have hundred, then thousand, ten thousand, etc.

Now, in this case, we have a decimal point. So, we will look at the last digit before the decimal point because it's place value is unit place. And the next left digit to this is tens.

Hence, the place value of 9 in 194.6 is tens.

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If you place brackets or parenthesis around the numbers 19+7 and 2*6+1. It would appear as follows: (19+7)/(2*6+1) = 26/13 = 2. It takes special parenthetical treatment to express the mathematical expression 19+7/26+1 to get a result of 2.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

y=19+7/2×6+1

becomes

y=(19+7)/(2×6+1)

y=26/(12+1)

y=26/13

y=2

If you enclose the numbers 19+7 and 2*6+1 in parenthesis or brackets. It would look like this: (19+7)/(2*6+1) = 26/13 = 2. The mathematical expression 19+7/26+1 must be expressed with special parenthetical treatment to yield the number 2.

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Answer:

b.

Step-by-step explanation:

No, because -1 is x and -17 is y. if You plug it in, it will look like this:

-17=-1+16

-1+16=15

15 is not equal to -17, so the answer is no, b.

Hope this helps!

Answer:

a.)yes. у=х+16

Answer:

(-1)

sSlope means the inclination of the line

Intercept is the point where the line touches the Y axis.