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3 years ago

10 to the second power times 16.29

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Answer:

1629

Step-by-step explanation:

10 to the second power = 100

100 x 16.29 = 1629

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The sum of three consecutive integers is 63. What is the lowest of the three integers?

sveta [45]

One number be x
x+(x+1)+(x+2)=63
x+x+1+x+2=63
3x+3=63
3x=63-3
3x=60
x=60:3
x=20
smallest number = x=20
middle number = x+1= 20+1=21
largest number = x+2 =20+2= 22

3 0

3 years ago

IN (3)

svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) $y =2x +5$

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,9)$

$(x_1,y_1) = (10,25)$

So, we have:

$m = \frac{25 - 9}{10 - 2}$

$m = \frac{16}{8}$

$m=2$

The equation is calculated using:

$y - y_1 =m(x - x_1)$

Using:

$(x_1,y_1) = (6,17)$

We have:

$y - 17 =2(x - 6)$

$y - 17 =2x - 12$

Make y the subject

$y =2x - 12+17$

$y =2x +5$

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

$y =2x +5$

8 0

3 years ago

APT4PTO

inysia [295]

Answer:

1536 square inches

Step-by-step explanation:

In units of 5 feet, the backdrop is 3 units wide and 2 units high, for a total area of 3×2 = 6 square units.

Those same units on the scale drawing are each 16 inches. One square unit on the scale drawing is (16 in)² = 256 in². So, 6 of them have an area of ...

6 × 256 in² = 1536 in²

6 0

3 years ago

Which of the following are possible values of r? <img src="https://tex.z-dn.net/?f=%20%7Br%7D%5E%7B2%20%7D%20%20%3D%20%20%5Cf

marshall27 [118]

Answer:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

Step-by-step explanation:

when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):

$r^2=\frac{3}{16} \\r=+/-\sqrt{\frac{3}{16}} \\r=+/-\frac{\sqrt{3} }{4}$

then you need to include these two possible solutions:

$r=\frac{\sqrt{3} }{4}$ and $r=-\frac{\sqrt{3} }{4}$

5 0

3 years ago

David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two

ollegr [7]

Annual rate = 1.05%

Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.

Transpose to make r the subject

Prt * 100 = I
r = I/ Pt * 100

Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years

r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%

5 0

3 years ago