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3 years ago

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The number a times 10 to the power of negative 2 is about 8 times greater than b times 10 to the power of negative 3. Find the c

orrect value of a and b.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

c

Step-by-step explanation:

You might be interested in

2 u + 12 < 23<br> 0,1 d + 8 > 0<br> 3 - 4 r > 7<br> 13 < 2 z + 3<br> 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

<u><em>The question is</em></u>

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0

4 years ago

Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?

Maslowich

<span>Carol noticed that 7/10 of the children playing soccer were girls. Which statement could be correct?
A. There were 28 girls and 12 boys playing soccer.
28 : x% = 40 (the total number of children) : 100%
40x = 28 * 100
40x = 2800
x = 2800 / 40
x = 70%
There were 70% of girls in the class.
70 / 100 = 0.7
7/ 10 = 0.7
This is why A is the correct answer.

</span>

7 0

3 years ago

1. A trapezoid has an area of 91 m2. The height of the trapezoid is 7 m and the measure of one base is twice the height. What is

Lynna [10]

The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m

6 0

3 years ago

Read 2 more answers

Given the function f(x) = -3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.

denis23 [38]

Answer:

The value of f(2) is larger than the value of f(3).

Step-by-step explanation:

$f(x) = -3x^{2} +4x+6\\f(2) = -3*2^{2} +4*2+6=2\\f(3) = -3*3^{2} +4*3+6=-9\\$

3 0

3 years ago

A cube of aluminum has a volume of 9cm) and weighs 81 g. What is its density?

disa [49]

Answer:

9 g/cm³

Step-by-step explanation:

density = mass/volume

d = 81/9

d = 9 g/cm³

8 0

3 years ago