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Dennis_Churaev [7]
3 years ago
5

4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of  y  is 12.  Plug 12 into the equation in the place of  y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

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The dot is located at -1.13
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In 2009 there was an endangered population of 270 cranes in a western state. Due to wildlife efforts, the population is increasi
Vitek1552 [10]
Assuming compount interest format

A=P(r+1)^t for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years


given
P=270
r=5%=0.05

the equaton is
A=270(0.05+1)^t or
A=270(1.05)^t
for any year, 2009, is year 0, so if you wanted to input the year then
A=270(1.05)^{t-2009} would be for t=what year it was

A. f(x)=270(1.05)^t


b. 2009 to 2020
2020-2009=11 years
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f(11)=270(1.05)^{11}
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about 462 cranes


A. f(x)=270(1.05)^t
B. about 462
8 0
3 years ago
Please Answer Attachment Below thank You so much
Mazyrski [523]

103 would be the correct answer

8 0
3 years ago
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#4 need help asap will give brainly
pychu [463]

total surface area Stot = 1180 in2

lateral surface area Slat = 920 in2

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3 0
3 years ago
A candy box is made from a piece of cardboard that measures 23 by 13 inches. Squares of equal size will be cut out of each corne
wolverine [178]

Answer:

2.67 inches.

Step-by-step explanation:

Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).

The formula for a rectangular box = L × B × W

= (23 -2y)(13-2y) (y)

= (299 - 46y - 26y + 4y²)y

= 299y - 72y² + 4y³

Now for the maximum volume:

dV/dy = 0

This implies that:

299y - 72y² + 4y³ = 299 - 144y + 12y² = 0

By using the quadratic formula; we have :

= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}

where;

a = 12; b = -144 and c = 299

= \dfrac{-(-144) \pm \sqrt{(-144)^2 -4(12)(299)}}{2(12)}

= \dfrac{144 \pm \sqrt{20736 -14352}}{24}

= \dfrac{144 \pm \sqrt{6384}}{24}

= \dfrac{144 \pm79.90}{24}

= \dfrac{144 + 79.90}{24} \ \  OR  \ \   \dfrac{144 - 79.90}{24}

= 9.33 \ \  OR  \ \ 2.67

Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33

Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.

3 0
3 years ago
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