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3 years ago

Which statement is true when comparing the given numbers on a vertical number line?

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Burka [1]3 years ago

8 0

Letter A is the correct answer

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Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

ad-work [718]

<h3>Conner work is correct. Jana work is wrong</h3>

Solution:

Given that,

Conner and Jana are multiplying:

$(3^56^8)(3^96^{10})$

Given Conner's work is:

$(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}$

We have to check if this work is correct

Yes, Conner work is correct

From given,

$(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}$

Given Jana's work is:

$(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}$

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0

3 years ago

Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D²: P4→P2 be the linear transformation

Tatiana [17]

Answer:

Step-by-step explanation:

Please view the attached file.

Download docx

8 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x – 24y = 72

kaheart [24]

4x - 24y = 72

First subtract 4x from each side

-24y = -4x + 72

Divide each side by -24 so y is by itself

y = -4/-24x + 72/-24

To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4

y = 1/6x + 72/-24

To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24

y = 1/6x - 3

This is now in slope intercept form

6 0

3 years ago

Suppose you take out a loan for $9,000, at 12% ordinary interest. If the amount of interest is $762.00, what is the time period?

Ierofanga [76]

Answer:

answer is option c

Step-by-step explanation:

Amount = $9,000

interest rate (r) = 12%

interest = $762.00

time = ?

we know,

$I = \dfrac{PRT}{100}$

$762 = \dfrac {9000\times 12\times T}{100}$

t = 0.7056 years

t = 0.7056 × 365 days

t = 257.54 days ≅ 258 days

correct answer is option c.

3 0

3 years ago

Read 2 more answers

Paula runs a bakery. She estimates that her weekly cost of rent and electricity is $250. The ingredients to bake one cake cost $

viktelen [127]

Y+(X x 4)= 250.

Am not sure of this answer thou.

7 0

4 years ago