16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000

Answers

Answer 1

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

[tex]E'(x) = 10x + 11[/tex]

Substitute 5 for x

[tex]E'(5) = 10 * 5 + 11[/tex]

[tex]E'(5) = 50 + 11[/tex]

[tex]E'(5) = 61[/tex]

Hence, the expenditure for 5 days is $61

Answer 2

The cost of completing the job in 5 days will be 61 hundred dollars.

Given information:

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by [tex]E'(x) = 10x + 11[/tex], where x is the number of days since the start of the job.

Now, the job is done for 5 days.

So, the expenditure if the job takes 5 days can be calculated as,

[tex]E'(x) = 10x + 11\\E'(5) = 10\times 5 + 11\\E'(5)=50+11\\E'(5)=61[/tex]

Therefore, the cost of completing the job in 5 days will be 61 hundred dollars.

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Related Questions

Suppose that you are a teacher with a total of 100 students 10 among them come from a disadvantaged and their average in year 1 is 80/100. All of the other students are not considered disadvantaged and have an average of 90/100. What is the overall average for your students in year 1?

Answers

Answer:

  89/100

Step-by-step explanation:

The average weighted by the number of students is ...

  (90(0.90) +10(0.80))/100 = (81 +8)/100 = 89/100

Melinda poured herself 20 ounces of orange juice for breakfast. By the end of her meal, she only has 4 ounces left. What scale factor represents the amount of orange juice she has left ?

Answers

Answer:my profile pic is a throwing dart not a ding dong dirty

Step-by-step explanation:

please help!!
Given the sets A and B expressed in interval notation, find A∩B A = (−∞,91) ∪ [93,+∞) B = (28,94) B = (28,94)

Answers

Answer: [tex](28, 91) \cup (93, 94)[/tex]

======================================================

Explanation:

Check out the diagram below.

I have drawn out two number lines with the key points 28,91,93,94 marked on them. The diagram isn't to scale, but that doesn't matter. All that matters is that the numbers line up (eg: we have the two 28's line up vertically).

The first number line drawing on top shows the shading for set A. Everything in the shaded region is either smaller than 91, or larger than 93, or 93 itself. We exclude 91 due to the curved parenthesis. The square bracket says to include the 93.

For the second graph, you have two endpoints as open holes (to exclude both endpoints) and you shade everything between.

-----------

After you draw the two number line regions, you would then mark off the interval(s) that they share in common.

The notation [tex]A \cap B[/tex] means "A intersect B" which means we want to find the stuff that is in both sets at the same time.

So we'll have two pieces here. The portion from 28 to 91 is the first interval, and then the second portion runs from 93 to 94. For each interval sub-piece, the endpoints are excluded

So that leads to the final answer [tex](28, 91) \cup (93, 94)[/tex]

10x=15 find value of x

Answers

Answer:

x= 1.5

Step-by-step explanation:

According to the question

10x = 15

x = 15 / 10

x = 1.5

Answer:

x=1.5

Step-by-step explanation:

Isolate x on one side of the equation by dividing both sides by the factor 10:

[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]

simplify 4/9 to the second power

Answers

Answer:

(2/3)^2

Step-by-step explanation:

A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]

What is an exponent?

In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.

Mathematically, an exponent can be modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

the variables b and n are numerical values, letters, or an expression.

n is known as a power.

By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:

[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]

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Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?

Answers

Answer:

36 individual white socks

38 individual black socks

Step-by-step explanation:

Pairs of socks = 74

He has 1 more pair of white socks than black socks.

Take the colors of the socks to be white and black

Let

Black pairs of socks = x

White pairs of socks = x + 1

Individual socks of each color

A pair of white socks = 2 Individual white socks

= 2white

A pair of black socks = 2 individual black socks

= 2black

Total pairs of socks = black pairs of socks + white pairs of socks

74 = 2white + 2black

74 = 2(x) + 2(x +1)

74 = 2x + 2x + 2

74 = 4x + 2

Subtract 2 from both sides

74 - 2 = 4x

72 = 4x

Divide both sides by 4

x = 72/4

= 18

x = 18

Pairs of white socks = x = 18

A pair of white socks = 2whites

= 2(18)

= 36 individual white socks

Pairs of black socks = x + 1

= 18 + 1

= 19 pairs

A pair of black socks = 2black

= 2(19)

= 38 individual black socks

Find all complex solutions of 3x^2+4x+5=0 please guide!

Answers

Answer:

Step-by-step explanation:

Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).

Answers

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

Step-by-step explanation:

Any sphere centered at [tex](h,k,s)[/tex] in an Euclidean space with a radius [tex]r[/tex] is represented by the following formula:

[tex](x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}[/tex]

If [tex](x,y,z) = (7,1,-3)[/tex] and [tex](h,k, s) = (5,6,5)[/tex], the radius of the sphere is obtained:

[tex](7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}[/tex]

[tex]r^{2} = 93[/tex]

[tex]r = \sqrt{93}[/tex]

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].

I NEED HELP PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

How do you solve 6^14/(2^5)(3^7)?

Answers

Answer:

1119744

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]

Step 2: Evaluate exponents

6¹⁴ = 78365164096

2⁵ = 32

3⁷ = 2187

Step 3: Replace

[tex]\frac{78364164096}{32(2187)}[/tex]

Step 4: Multiply

[tex]\frac{78364164096}{69984}[/tex]

Step 5: Divide

1119744

Pleas helppppppppppp

Answers

Answer:

Line AB

Hope this helps!

John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.

Answers

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

what valúe of x solves the equation?
5+x-6x=-5​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

what is 0.7x in fraction form​

Answers

Answer:

7/10x hope it helps

Ben and Sam are diving in a lake at 14 feet below the surface been spot Sam 9 feet directly below him find sams depth

Answers

Answer:

23

Step-by-step explanation:

1

14

+ 9

--------

2 3

hope this helps

The depth of Sam's from the surface is 23 feet.

We are given that Ben and Sam are diving in a lake.

Ben and Sam are 14 feet below the surface.

But after a while, Ben spots Sam 9 feet directly below him.

We have to find sam's depth from the surface.

Let the depth at which both Ben and Sam were diving in the lake be X.

i.e X = 14 feet.

Let the depth of Sam from Ben be Y.

i.e Y = 9 feet.

Now Sam's depth from the surface would be:

= X + Y

= 14 + 9

= 23 feet.

Thus, the depth of Sam's from the surface is 23 feet.

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The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?

Answers

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

Answer:17 inches

Step-by-step explanation:

Pounds gained by people in your class during the first month of the semester on example of which type of data? 1. Qualitative 2. Quantitative 3. Extreme 4. Statistic

Answers

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

What are the types of statistical data?

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

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Pattern y: Starts at 0. Rule: Add 6. The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0,0), (3,6),(6,12), and (9,18). Which ordered pair also belongs to this pattern?

A.(12,24)
B. (15,24)
C.(12,36)
D.(1,6)

Answers

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

All of the following should be included in the results section of a t test except:
a. dependent measure.
b. levene confidence intervals.
c. effect size.
d. homogeneity of variance test.

Answers

Answer:

Levene confidence intervals ( b )

Step-by-step explanation:

T- test should include all of the following in the results section except the  Levene confidence intervals.The confidence intervals may be constructed for various power values using the binomial distribution.

The dependent measure , the size and the Homogeneity of variance test are all included in the results section of a t-test

Mick earns $45,000 a year. This year, he had $2,700 of state taxes returned to him.
What percent of his income did he have returned to him?

Answers

Answer:9

Step-by-step explanation:

A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct name for this ray?

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

the correct name will be QP...or QR

( -8v + 6v 4 - 8 ) + ( 3v - 7 ) simplified

Answers

Answer:

6v⁴ - 5v - 15

Step-by-step explanation:

Step 1: Write out expression

-8v + 6v⁴ - 8 + 3v - 7

Step 2: Combine like terms (v)

6v⁴ - 5v - 8 - 7

Step 3: Combine like terms (constants)

6v⁴ - 5v - 15

—4 + (—19) can u help me plz

Answers

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

Answer in simplest form -4/15 + 1/6 =

Answers

Answer:

The answer is -0.1

Step-by-step explanation:

You just need to calculate it in a calculator

Hope it helps :)

Answer : -1/9

Steps :

Find the surface area of the following triangular prism. surface area=_________ ft²

Answers

Answer:

312 ft²

Step-by-step explanation:

3 rectangles

2 triangles

4 yd = 12 ft

A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2

= 48ft² + 96ft² + 120ft² + 48ft²

= 312 ft²

Answer:

336

Step-by-step explanation:

Got it right

You are welcome :)

help pls !!!!!!!!!!!!!!

Answers

Answer:

h(1) = 1, h(2) = 3, h(3) = 4

Step-by-step explanation:

Given function h(x)

Need to find :

h(1), h(2), h(4)

h(1) falls under the second condition as -2 ≤1<2:

h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1

h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:

h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4

George’s parents are going on a cruise and are concerned about paying their bills while they are gone because they will not have the usual means of communication. What is the best payment method for them to use while they are gone?
telephone
online payment
mail
automatic withdrawal

Answers

automatic withdrawal

D. Automatic withdrawal

May I have brainliest please? :)

Please Help ASAP it's my Math HW

Answers

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

The square root of ____________ like 4, 9, and 16 is a _________ number.

Answers

Answer:

The square root of numbers like 4, 9, and 16 is a square number.

Volume of a cube is 5832 m². Fince the
cost of painting its total surface area
at the rate of Rs. 3.50 per m².​

Answers

a≈18

V Volume

5832=18

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