You are about to take a major assessment, and each question is one two types. Multiple-choice questions are worth 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points. Let x represent the number of multiple-choice questions, and let y represent the number of short-response questions.

Answer:

1240 widgets

Step-by-step explanation:

The value of the function at 870, the local maximum, is

= -0.02(870)2 + 34.80(870) - 4700

= -0.02(756900) + 30276 - 4700

=  -15138 + 25576

= 10438

So the vertex is (870, 10438)

The cost t the company to produce 870 widgets is  

C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224

So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.

(10438 + 9224)/870 = 19662/870 = $22.60

P(x) = 7700

- 0.02x2 + 34.80x - 4700 = 7700

-0.02x2 + 34.80x -12400 = 0

x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)

x = [-34.80 ± √(1211.04 - 992)]/(-0.04)

x = (-34.80 ± √219.04)/(-0.04)

x = (-34.80 ± 14.8)/(-0.04)

x = 870 ± 370

so, $7700 in profits will be earned at either 500 widgets or 1240 widgets

Answer:

c=-2

Step-by-step explanation:

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

Answer: hope this helps

Step-by-step explanation:

5 (x + 8)

Root:

x = -8

Derivative:

d/dx(2 x + 46 + 3 x - 6) = 5

Indefinite integral:

integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant

Answer:

5x-40=0

5x=40

x=40/5

x=8

Answer:

c=10(g+5)

Step-by-step explanation:

Given that,

The cost of customer smartphone bill is given by the equation as follows :

c=10g+50

Where

g is the number of gigabits of data the customer per month

We need to factor this cost polynomial

The common between 10 and 50 is 10

Taking 10 common. So,

c=10(g+5)

Hence, the required factor is equal to c=10(g+5).

Answer:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]

Complete the multiplication and the equation becomes

[tex]\frac{45}{20} - \frac{10}{20}[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]

The fraction

[tex]\frac{7}{4}[/tex]

is the same as

7 ÷ 4

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Apply the fractions formula for subtraction, to

[tex]\frac{9}{4} - \frac{5}{10}[/tex]

and solve

[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]

[tex]= \frac{90-20}{40}[/tex]

[tex]= \frac{70}{40}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Answer:

737/100

Step-by-step explanation:

Answer:

what grade is this?

Answer:

twenty and thirty-six thousandths in standards form is 20.036

Answer:

20.006

Step-by-step explanation:

I think this is what you need but not a lot of info. sorry if it's not

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Given:

The angles are:

Example [tex]54^\circ[/tex]

1. [tex]63^\circ[/tex]

2. [tex]87^\circ[/tex]

3. [tex]45^\circ[/tex]

4. [tex]72^\circ[/tex]

5. [tex]5^\circ[/tex]

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of [tex]54^\circ[/tex], then

[tex]x+54^\circ=90^\circ[/tex]

[tex]x=90^\circ -54^\circ[/tex]

[tex]x=36^\circ[/tex]

Similarly,

1. The complimentary angle of [tex]63^\circ[/tex] is:

[tex]90^\circ -63^\circ=27^\circ[/tex]

2. The complimentary angle of [tex]87^\circ[/tex] is:

[tex]90^\circ -87^\circ=3^\circ[/tex]

3. The complimentary angle of [tex]45^\circ[/tex] is:

[tex]90^\circ -45^\circ=45^\circ[/tex]

4. The complimentary angle of [tex]72^\circ[/tex] is:

[tex]90^\circ -72^\circ=18^\circ[/tex]

5. The complimentary angle of [tex]5^\circ[/tex] is:

[tex]90^\circ -5^\circ=85^\circ[/tex]

Therefore, the complimentary angles of [tex]54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ[/tex] are [tex]36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ[/tex] respectively.

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

Search it up for a more detailed answer through Goo gle.

Answer:

D. Square

It is the only one with all right angles and sides the same length

Answer:

so you wont have to find the LCD (least common denomonatoir )

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to attached.

The given points are plotted and the line of best fit is added:

From the graph It is clear that the line passes through the center of the data points.

Correct choice is B

Answer:

Step-by-step explanation:

Answer B!

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree

Answer:

∠4 & ∠2

Step-by-step explanation:

adjacent angles:

Step-by-step explanation:

You have 90° angle and you will get x if you:

x=90°-25°

x=65°

answer:

x= 60 degrees

Step-by-step explanation:

90-25= 65

Answer: 418.7

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/cone.php

Answer:

26

Step-by-step explanation:

40x30%=12

40+12=52

52x50%=26

At a local toy store, extra-large stuffed bears had a price of $40 each.

The price of an extra-large toy stuffed bear is $26.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local toy store, extra-large stuffed bears had a price of $40 each.

In December, the price was raised by 30%.

40 x 30%

= 1200/100

= 12

40 + 12 = 52

In January, the price was lowered by 50%.

52 x 50%

=2600/100

= 26

Thus, the price of an extra-large toy stuffed bear is $26.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ2

Answer:

5

Step-by-step explanation:

You have to remember :

125

45

16

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.

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