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2 years ago

10

A support wire is attached to the top of an antenna. The support wire connects

1 answer:

Soloha48 [4]2 years ago

3 0

Answer

i don't kniw thx for points

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Zachary went to the store to buy some walnuts. The price per pound of the walnuts is

Katen [24]

The answer is 12.50 and equation is y=5.25p -3.25

5 0

2 years ago

What is the value if 3^0

stira [4]

3^0 if zero is an exponent then the answer would be 1.

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3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

What is the value of C? <br><br> 55<br> 70<br> 95<br> 110

Lana71 [14]

Answer:

c°=70°

Step-by-step explanation:

taking that it would be an alternate interior totaling 180°

take the difference: 180°-110°=70°

4 0

3 years ago

A number is added to the square of itself and the result is 90. Find all possible values for the number

kolezko [41]

Answer: 9

Step-by-step explanation: 9 x 9 equals 81 and 81 add 9 is 90

6 0

3 years ago