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saw5 [17]
1 year ago
11

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

1 i) (21 5i)?
Mathematics
1 answer:
Naily [24]1 year ago
5 0

Answer:

C i think

Step-by-step explanation:

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A manufacturer produces bolts of a fabric with a fixed width. A quantity q of this fabric (measured in yards) that is sold is a
BigorU [14]

Answer:

R'(20) = 2000

Step-by-step explanation:

We are given the following in the question:

Quantity, q

Selling price in dollars per yard, p

q=f(p)

Total revenue earned =

R(p)=pf(p)

f(20)=13000

This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

f′(20)=−550

This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)

Putting the values, we get,

R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000

7 0
3 years ago
A person owns two shops. this year the telephone bill for the first job was $640 less than four times a telephone bill for the s
KIM [24]

Answer: F=bill for first shop=4S-$630; S=bill for second shop

.

F+S=$3265 Substitute for F

4S-$630+S=$3265

5S=$3895

S=$779 ANSWER 1: The bill for the second shop was $779

.

F=4S-$630

F=4($779)-$630

F=$3116-$630=$2486 ANSWER 2: The bill for the first shop was $2486.

.

CHECK:

F+S=$3265

$2486+$779=$3265

$3265=$3265

explanation:

5 0
3 years ago
Find the volume of a cone with a height of 3.25 centimeters and<br> a diameter of 2.2 centimeters.
saveliy_v [14]

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

  • Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

<u>Using </u><u>Formulae </u>

\boxed{\bf \:Volume_{(Cone)}  =  \cfrac{1}{3}  \pi {r}^{2}h}

Substituting the given value and let's solve it

\sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times  {1.1}^{2}  \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 1.21 \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 3.9325 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 12.34805 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{12.34805}{3}  \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  = 4.11 {cm}^{3}

<u>Therefore</u><u>,</u>

  • <u>Volume </u><u>of </u><u>the </u><u>cone </u><u>is </u><u>4</u><u>.</u><u>1</u><u>1</u><u> </u><u>cm³</u><u> </u><u>.</u>
3 0
2 years ago
Please help<br> Find f(1/3) if f(n) = 3n.
kaheart [24]

Answer:

1

Step-by-step explanation:

f(n) = 3n

f(1/3)= 3*(1/3)=1

f(1/3)=1

5 0
2 years ago
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The histogram shows the number of rebounds per game for a middle school basketball player this season
xeze [42]
Where Is the Picture?????????
3 0
3 years ago
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