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4 years ago

5

Simplify the expression:

TexFormula1" title="\sqrt[6]{27a^{9}b^{6}c^{3}}" alt="\sqrt[6]{27a^{9}b^{6}c^{3}}" align="absmiddle" class="latex-formula">

1 answer:

Molodets [167]4 years ago

5 0

Answe

Step-by-step explanation:

The simplified expression can be solve in following steps;

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This graph represents Malcoms distance from school in meter's t minutes after he leaves his house on his way to schoolwhat does

In-s [12.5K]

$\begin{gathered} x_1=0,x_2=8,y_1=600,y_2=0_{} \\ \text{slope,}\Rightarrow m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-600}{8-0} \\ m=-75 \end{gathered}$

7 0

1 year ago

You want to earn an EAR of 12.682%. Therefore, you would pick an investment with a quoted interest rate of _________ APR with mo

Maru [420]

Answer:

The correct option is C) 12.00%.

Step-by-step explanation:

This can be calculated using the formula for calculating the effective annual rate (EAR) as follows:

EAR = ((1 + (i / n))^n) - 1 .............................(1)

Where;

EAR = effective annual rate = 12.682%, or 0.12682

i = annual percentage rate (APR) = ?

n = Number of compounding periods or months = 12

Substituting the values into equation (1) and solve for i, we have:

0.12682 = ((1 + (i / 12))^12) - 1

0.12682 + 1 = (1 + (i / 12))^12

1.12682 = (1 + (i / 12))^12

(1.12682)^(1/12) = (1 + (i / 12))^(12/12)

1.12682^0.0833333333333333 = 1 + (i / 12)

1.00999962428035 - 1 = i / 12

0.00999962428035 = i / 12

i = 0.00999962428035 * 12

i = 0.119995491364199, or 11.9995491364199%

Approximating to 2 decimal places, we have:

i = 12.00%

Therefore, the correct option is C) 12.00%.

4 0

3 years ago

I need help in this section.

Phoenix [80]

Answer:

$\frac{1}{45}$

Step-by-step explanation:

There are

2 yellow

3 magenta

5 blue

marbles in the bag.

So total of 2 + 3 + 5 = 10 marbles

We have to multiply the probability of yellow on first pick by the probability of yellow on second pick (WITHOUT REPLACEMENT).

We denote P(Y1) as probability of yellow on first draw &

P(Y2) as probability of yellow on second draw

Thus,

P(Y1) = 2/10 = 1/5 [since 2 yellow and 10 total marbles]

Now,

P(Y2) = 1/9 [since now 1 yellow is taken out and NOT replaced, so we have 1 yellow remaining and total 9 marbles]

Now, we multiply:

P(Y1) * P(Y2) = 1/5 * 1/9 = 1/45

The probability is $\frac{1}{45}$

6 0

3 years ago

Question 33(Multiple Choice Worth 1 points)

Rudiy27

Question 33

Answer:

f(x) = 40(1.1699)x

Step-by-step explanation:

Using the properties of exponents the term (1.04)^4x can be re-written as;

$(1.04^{4})^{x}$

The term in the brackets is equivalent to;

1.1699

Thus the function is equivalent to;

$f(x)=40(1.1699)^{x}$

Question 34

Answer:

x < the quantity negative 2 times b plus 8 all over negative 3; Choice A

Step-by-step explanation:

The first step is to subtract 2b from both sides of the inequality;

-3x > -2b+8

The final step is to divide by -3 to solve for x;

$x$

Question 35

Answer:

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons; Choice C

Step-by-step explanation:

Time variable in any analysis is considered an independent or predictor variable since time is not influenced by the other variables under study.

In this case, the volume of water is the response or the dependent variable.

Question 36

Answer:

Commutative Property of Addition; Choice B

Step-by-step explanation:

The Commutative Property of Addition simply states that;

$a+b=b+a$

Question 37

Answer:

F = 9 over 5C + 32; Choice A

Step-by-step explanation:

To solve for F in the expression;

$C=\frac{5}{9}(F-32)$

We first multiply both sides by 9/5;

$\frac{9}{5}C=F-32$

The final step is to add 32 to both sides of the equation;

$F=\frac{9}{5}C+32$

5 0

3 years ago

Find the x- and y-intercept of the line <br> X+4y=36

NNADVOKAT [17]

The answer:
(36,0) (0,9)

6 0

3 years ago