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2 years ago

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Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript

5 Baseline (2 squared) EndFraction as shown below. StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction = StartFraction (2) Superscript a Baseline Over (negative 3) Superscript b Baseline EndFraction = StartFraction c Over d EndFraction What are the values of a, b, c, and d? a = 4, b = 2, c = 16, d = 9 a = 4, b = negative 2, c = 16, d = 9 a = 8, b = 8, c = 256, d = 6,561 a = 8, b = 8, c = 256, d = negative 6,561

2 answers:

vivado [14]2 years ago

5 0

Answer:

the answer is A

Step-by-step explanation:

I did the test and got it right for the explanation, the kind person above provided that.

makkiz [27]2 years ago

3 0

The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.

Answer:

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

Step-by-step explanation:

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = \dfrac{(2)^a}{(-3)^b} = \dfrac{c}{d}$

Solving the first part of the question by indices,

$\dfrac{(-3)^3(2^6)}{(-3)^5(2^2)} = (-3)^{3-5}(2)^{6-2} = (-3)^{-2}(2)^{4} = \dfrac{(2)^4}{(-3)^2}$

Comparing the rightmost term with the second term in the question,

<em>a</em> = 4, <em>b</em> = 2

Solving on,

$\dfrac{(2)^4}{(-3)^2} = \dfrac{(2)\times(2)\times(2)\times(2)}{(-3)\times(-3)} = \dfrac{16}{9}$

Comparing with the final term in the question,

<em>c</em> = 16 and <em>d</em> = 9

Therefore,

<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9

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Triangle MRN is created when an equilateral triangle is folded in half. Triangle N R M is shown. Angle N R M is a right angle. A

Fed [463]

Answer:

The value of x is 4.

Step-by-step explanation:

It is given that triangle MRN is created when an equilateral triangle is folded in half.

It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).

The side length of the triangle is

NO = NS + SM = 6 + 2 = 8

Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore

RM = MO/2 = 8/2 = 4

The value of x is 4.

7 0

1 year ago

Read 2 more answers

A. One day Annie weighed 24 ounces more than Benjie, and Benjie weighed 3 1/4 pounds less than Carmen. How did Annie’s and Carme

Debora [2.8K]

<h2>Answer:</h2>

A.

Let Annie's weight be = a

Let Benjie's weighs = b

Let Carmen's weight be = c

One day Annie weighed 24 ounces more than Benjie, equation forms:

$a=b+24$ ......(1)

Benjie weighed 3 1/4 pounds less than Carmen.

In ounces:

1 pound = 16 ounces

$\frac{13}{4}$ pounds = $\frac{13}{4}\times16=52$ ounces

$b=c-52$ or

$c=b+52$ ......(2)

Now adding (1) and (2), we get

a+b=b+24+c-52

=> $a=c-28$

This gives Annie weighs 28 ounces less than Carmen.

B.

We cannot know anyone's actual weight, as we only know their relative weights.

3 0

2 years ago

Write an exponential function in the form y<br> and (3,72).<br> ab" that goes through points (0,9)

Vikentia [17]

Answer:

$y=9 ( {2}^{x} )$

Step-by-step explanation:

Let the exponential function be

$y = a {b}^{x}$

We substitute (0,9) to get:

$9 = a {b}^{0}$

$9 = a(1)$

$a = 9$

The equation now becomes:

$y = 9 {b}^{x}$

We substitute (3,72) to get:

$72 =9 {b}^{3}$

$8={b}^{3} \\ {2}^{3} = {b}^{3}$

$b = 2$

The equation is therefore

$y=9 ( {2}^{x} )$

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2 years ago

The two-way frequency table below shows data on student behavior and the use of positive phone calls home as an incentive for go

dusya [7]

Answer:

From the frequency table, let's calculate the row total.

Row total for phone call = 19 + 9 = 28

Row total for no phone call = 8 +6 = 14

To calculate their respective row relative frequencies, let's use:

Row relative freq = $\frac{freq.}{Row total}$

Now, the two-way frequency table will be computed as:

For phone call:

Desirable behavior = $\frac{19}{28} = 0.67857$ ≈0.69

Undesirable behaviour = $\frac{9}{28} = 0.3214$ ≈0.32

No phone call:

Desirable behaviour = $\frac{8}{14} = 0.5714$ ≈ 0.57

Undesirable behaviour = $\frac{6}{14} = 0.4286$ ≈ 0.43

The complete two-way table is attached.

8 0

2 years ago

You need at least $485 to go on a trip to New York City. You already have $100 saved for the trip. You decide to save an additio

elena-14-01-66 [18.8K]

Remark
The entire trip costs 485 dollars. She has a hundred, and you are looking for the number of weeks needed to save for the trip.

Step one
Set up the basic equation.
35w + 100 ≥ 485

Step two
solve
35w + 100 ≥ 485 Subtract 100 from both sides.
35W ≥ 485 - 100
35W ≥ 385 Divide by 35
W ≥ 385 / 35
W ≥ 11 weeks.

Since we don't have choices, we can't eliminate those that are wrong.

If I had to guess I would say it was something that looked like
35W + 100 ≥ 485

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2 years ago

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