All categories

4 years ago

What is the solution of −81=b6 ? A. b = −486 B. b = −75 C. b = 13.5 D. b = 486

1 answer:

7 0

We have to isolate b to be alone.
Soooo first we divide both sides by 6

-81 = b6
÷6 = ÷6 The right side cancels out and gets the b alone. While we solve the right side of the equal sign.
-81 ÷ 6 = -13.5
So this means we isolated b alone!
b = -13.5

Our final answer is..
b = -13.5

:)

You might be interested in

4(9-x)6-6(4-7x)>5(1-2x)-8x+9(6-x)

Kazeer [188]

Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

18x + 192 > -27x + 59

subtract 192 from both sides

18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

45x > - 133

Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

6 0

3 years ago

Syyedah throws a baseball with an initial velocity of 30 meters per second from a roof at an initial height of 75 meters. Write

Yuliya22 [10]

Initial velocity: v o = 30 m/s
h = 75 m
h = v o * t + g * t² / 2
75 = 30 · t + 9.8 · t² / 2
75 = 30 t + 4.9 t²
An equation is: y = 4.9 t² + 30 t - 75
4.9 t² + 30 t - 75 = 0
$t_{12}= \frac{-30+/- \sqrt{900+1470} }{9.8}= \\ =\frac{-30+48.68}{9.8}$
t = 1.9 s

4 0

3 years ago

Find the common difference for the infinite arithmetic sequence shown.

mihalych1998 [28]

The common difference is 12

Further explanation:

It is given that the infinite sequence is an arithmetic sequence

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$a_1 = 211\\a_2 = 223\\a_3 = 235\\a_4 = 247........$

The common difference is denoted by d.

Here,

$d = a_2-a_1 = 223-211 = 12\\a_3-a_2 = 235-223 = 12$

The common difference is same for all proceeding terms.

So,

d = 12

Keywords: Infinite arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

Multiply each polynomial <br> (x - 7)(x - 4)

german

Answer:2x+28 100% right

Step-by-step explanation:

8 0

4 years ago

[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. So

Fynjy0 [20]

Answer:

Part 1: Already solved.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

5 0

4 years ago

Read 2 more answers