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3 years ago

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If the data below are represented by a comparative bar chart, the bar representing which of these will be the tallest? Passed Fa

iled Cats 24 26 Dogs 30 28

1 answer:

zhuklara [117]3 years ago

6 0

Answer:

Left-handed Right-handed Boys 15 19 Girls 21 13 Right-handed girls

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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

Solve for x.4(2x + 3) = 3x + 3 + 2x

ElenaW [278]

Answer:

The value of x is -3.

Explanation:

Given the equation:

$4\mleft(2x+3\mright)=3x+3+2x$

Step 1: Distribute 4 in the left-hand side.

$\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x \\ 8x+12=3x+2x+3 \\ 8x+12=5x+3 \end{gathered}$

Step 2: Collect like terms.

$\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}$

Step 3: Divide both sides by 3.

$\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}$

The value of x is -3.

3 0

1 year ago

Find the difference

Leya [2.2K]

Answer: 3/5

Step-by-step explanation:

1 2/5 = 7/5

7/5 - 4/5 = 3/5

6 0

3 years ago

Read 2 more answers

Light travels 186,282 miles per second. How many miles will light travel in one year? (Use 365 days in a year) This unit ofdista

Phantasy [73]

Answer:

5,874,589,152,000 mi.

Step-by-step explanation:

3 0

4 years ago

PLEASE HELP! BRAINLIEST to correct answer!!!

irinina [24]

Answer:

Vertex: (4,9)

X int: (1,0),(7,0) = x=-1, x=-7

y iny: (0,-7)

4 0

3 years ago