The amount a person earns is directly proportional to the number of hours she works per day. If she works h hours one day and makes
s dollars an hour, what is the total amount that she earns for the day in terms of h and s

The distance between the start of the walkway and the middle person is 52 feet.

It is given that a 100 foot long moving walkway moves at a constant rate 6 feet per second.

AI steps into the start of the walkway and stands this means speed of AI is 6 feet per second.

Bob steps onto the start of  he walkway two second later and stolls forward along walkway 4 feet per second that means 10 feet [per seconds.  

And CY reaches the starts of the walkway and walks briskly forward beside the walkway at a rate of 8 feet per second.

At the time s we gave that,

\(\frac{8(s-4)+10(s-2)}{2}\) = 6s

\(\frac{8s -32 + 10s - 20}{2}\)  = 6s

      18s - 52 = 12s

              6s  = 52

                s  = \(\frac{26}{3}\)

At the time AI has travels,  

6* \(\frac{26}{3}\) = 52 feet.

Therefore distance between the start of the walkway and the middle person is 52 feet.

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Answer:

5

Step-by-step explanation:

Take 20, and divide it by 4.

\(\huge \rm༆ Answer ༄\)

Here's the solution ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2} - 4x + 1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{d}{dx} (2 {x}^{2}) - \dfrac{d}{dx} ( 4x )+ \dfrac{d}{dx} (1)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{2 - 1} { }^{}) - ( 1 \times 4x ^ {1 - 1})+ (0)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: (2 \times 2x {}^{} { }^{}) - ( 1 \times 4 ^ {})+ 0\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:4x - 4\)

Answer:

\( \sf = > \frac{d}{dx} ( {2x}^{2} - 4x + 1)\)

\( \sf = > \frac{d}{dx} ( {2x}^{2} ) +\frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf = > 2\frac{d}{dx} ( {x}^{2} ) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf= > 2(2x) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4\frac{d}{dx} (x) + \frac{d}{dx} (1)\)

\( \sf = > 4x - 4 \times 1 + \frac{d}{dx} (1)\)

\( \sf \: = > 4x - 4 + 0\)

\( \sf = > 4x - 4\)

Answer:

Step-by-step explanation:

in this kinda question, you need to know that if a line is

parallel to another line, it will have the same slope if it's

perpendicular, it will be negative reciprocal of the slope

thus, if the line is parallel to the one in the question, it will have a slope of 3/4.

and now just substitute the point that is given. (it's a solution of the equation btw)

so -6 = 3/4 (0) + b (the reason we dont include the (-4) is because it will have a different y-interecept, so we need to solve for b)

b=-6.

so y=3/4x - 6

i'll answer more questions if you mark me brainliest!

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Answer:

3 : 4

Step-by-step explanation:

meat : tomatoes

= 1.5 : 2 ( multiply both parts by 2 )

= 3 : 4

Answer:

x² - 5x + 4

Step-by-step explanation:

work backwards from knowing zeros to writing factors, then use foil method

(x - 1)(x - 4)

x² - 4x - 1x + 4

x² - 5x + 4

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

B

Step-by-step explanation:

7x + 1 isn't equal to 8x

For example:

Addition. In this equation, you can add all of the coefficients (2, 5, and 4) because the variables are the same (a).

2a + 5a + 4a = 11a

Subtraction. In this equation, you can subtract all of the coefficients (11, 5, and 4) because the variables are the same (a).

11a – 5a – 4a = 2a

\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

Answer:

Answers

Step-by-step explanation:

a) Time to max. height = (v/g) = 30/9.8 = 3.06 secs.

b)  Height attained = (v^2/2g) = 30^2/19.6 = 45.92 metres.

c) (3.06 x 2) = 6.12 secs.

d) Time to 16m/sec = (v/g) = 16/9.8 = 1.633 secs. Add 3.06 secs. if you need it to be time from release and then dropping to 16m/sec.

Step-by-step explanation:

3/5 are done, that means 2/5 are still to do.

that means these 30 km are these 2/5.

2/5 x = 30

2x = 150

x = 75

the total distance is 75 km.

Answer:

75 km

Step-by-step explanation:

2/5 = 30 km

→ Find 1/5

1/5 = 15 km

→ Now find 5/5 or 1

1 = 75 km

The maximum area is 12.25 square feet

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

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!

Answer:

below

Step-by-step explanation:

x = one number

x+23 = second number       <======added together the equal  -14

x   +    x+23    =   -14

2x = -37

x = -18.5       other number = x+23 =  4.5

Answer: B

Step-by-step explanation:

Ex: Shortest to smallest.

The farmer can 9 days more than 31 days.

given,

farmer buy 1000 pounds of hay

if cow eats 25 pounds of hay per day .

here, 25 x 31 =775

which is less than 1000 ,so that the farmer can feed the cow more than 31 days

1000-775=225

225/25=9

therefore the farmer can 9 days more than 31 days.

There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these.

distributive property ;

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.

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Answer:

7/36

Step-by-step explanation:

1 die has 6 faces

When two dice are rolled, the total number of outcomes

= 6 × 6 = 36

The Probability of having(5) =

(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)

= 4

The probability of having (10) =

(5 & 5), (4 & 6) , ( 6 & 4)

= 3

The probability that the score on the dice is either 5 or 10.

P(5) + P(10)

= 4/36 + 3/36

= 7/36

Answer: 7/36

Step-by-step explanation:

36 outcomes

4 chances of getting 5 (1+4, 2+3, 4+1, 3+2)

3 chances of getting 10 (4+6, 5+5, 6+4)

4+3=7

so 7/36 chance

Based on the dimensions of the parallelogram, it can be concluded its area would be 84 square meters.

The area of a parallelogram can be calculated using the following formula:

Area = base x height

This formula is the same that you would use for calculating the area of a rectangle due to the similarities between these two shapes. Now, let's use the formula to know the area:

Area = 12  meters x 7 meters

Area = 84 square meters

This means the total area is 84 square meters.

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Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.

The value of x in 2^x - 2 when x = 0, x = 1 and x = 2 are -1, 0 and 2 respectively. option A

2^x - 2

when x = 0

2^x - 2

= 2^0 - 2

= 1 - 2

= -1

when x = 1

2^x - 2

=2^1 - 2

= 2 - 2

= 0

when x = 2

2^x - 2

= 2^2 - 2

= 4 - 2

= 2

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1) The probabilities are given as follows:

a) More than 75: 0.0301 = 3.01%.

b) Between 60 and 73: 0.4484 = 44.84%.

c) Less than 50: 0.1057 = 10.57%.

2) The proportion of students who fail the module is of: 0.0062 = 0.62%.

3) The measures are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation in this problem are given as follows:

\(\mu = 60, \sigma = 8\)

The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:

Z = (75 - 60)/8

Z = 1.88

Z = 1.88 has a p-value of 0.9699.

1 - 0.9699 = 0.0301 = 3.01%.

The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:

Z = (73 - 60)/8

Z = 1.63

Z = 1.63 has a p-value of 0.9484.

Z = (60 - 60)/8

Z = 0

Z = 0 has a p-value of 0.5.

Then:

0.9484 - 0.5 = 0.4484 = 44.84%.

The probability of an score less than 50 is the p-value of Z when X = 50, hence:

Z = (50 - 60)/8

Z = -1.25

Z = -1.25 has a p-value of 0.1057.

The proportion who might fail the test is the p-value of Z when X = 40, hence:

Z = (40 - 60)/8

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

Then the statistical measures are obtained as follows:

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A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer:

\(16 ^\frac{3}{4} = \sqrt[4]{16^3}\)

Step-by-step explanation:

Given

\(16 ^\frac{3}{4}\)

Required

The equivalent

Using the following law of indices,

\(a ^\frac{m}{n} = \sqrt[n]{a^m}\)

We have:

\(16 ^\frac{3}{4} = \sqrt[4]{16^3}\)

let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said

\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)

\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation: