Answer:
When (3b³)² is simplified, it equals 3b⁶
Step-by-step explanation:
3 × 2 = 6
The exponent is 6
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]
So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]
For the next term, it is [tex]f(n+1)[/tex]
So,
[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]
escribe en forma de potencia y encuentra el valor
((-9)²)³
Answer:
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
using multiplicative law of indices
2 by 3 Is 6
so, -9⁶=531441
Question: Explain the Difference between an equation and an expression
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
include why or why not pls help
Answer:
Yes.
Step-by-step explanation:
If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
The red string r is 20 centimeters less than 5 times as long as the orange string s ." This can be represented by the expression r = 5 s − 20. Find the length of the red string if the length of the orange string is 10 centimeters. The length of the red string is centimeters.
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
If y varies inversely as x and x=4 when y=16 find x when y=9
Answer:
x=3
Step-by-step explanation:
x^2=y
2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation
Answer:
Step-by-step explanation:
C sampling
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
1. The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the
following equations represents the total cost, c, in dollars for h hours of phone use?
a c= 0.20(60h)
b c= 0.20 + 60
d =
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{0.20}{1min}[/tex] = [tex]\frac{12.00\\}{1 hour}[/tex]
We can scale the ratio to give the most accurate answer.
0.20 X 60 = 12.00
*pls give brainlist*
what is the solution to the equation 5=2/5a
Answer:
a = 25/2
Step-by-step explanation:
5 = (2/5)*a // - (2/5)*a
5-((2/5)*a) = 0
(-2/5)*a+5 = 0
5-2/5*a = 0 // - 5
-2/5*a = -5 // : -2/5
a = -5/(-2/5)
a = 25/2
a = 25/2
How many solutions will the equation have?
|x- 13| - 5= -5
Answer: x=13
Step-by-step explanation: Hope this help :D
Answer:
One Solution
__________
x = 13
__________
Explanation:
| x – 13 | – 5 = -5
[Add 5 to both sides to isolate | x – 13 | and cancel out –5]
| x – 13 | – 5 + 5 = -5 + 5
[Reduce]
| x – 13 | = 0
[An absolute value can include both a positive and negative value so |x| = n → x = ±n ]
x – 13 = ± 0
[Add 13 to both sides to get the value of x]
x – 13 + 13 = 13 ± 0
x = 13 ± 0
[Adding or subtracting zero will leave you with the same number]
x = 13
Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15
Answer:
pill
Step-by-step explanation:
What is the answer to 420 + 69 =
Answer:
420 + 69 = 489
Step-by-step explanation:
HOPE THIS HELPS
brainliest pls :)
Answer:
489
Step-by-step explanation:
420 + 69 = 489
Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?
Answer:
30 pages in this book
Step-by-step explanation:
20% is equal 6 pages
so 80% is equal (80/20)*6+6=30
The parallelogram pictured below has a perimeter of 129. Find the value of y.
Answer:
y = 2.5
Step-by-step explanation:
2(17y + 6) + 2(10y - 9) = 129
34y + 12 + 20y - 18 = 129
54y - 6 = 129
54y = 135
y = 2.5
Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information
Answer:
a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]
b) A test statistic of -2.06 should be used.
Step-by-step explanation:
Question a:
One water-treatment plant has a target pH of 8.5.
At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:
[tex]H_{0}: \mu = 8.5[/tex]
At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:
[tex]H_{a}: \mu \neq 8.5[/tex]
Question b:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8.5 is tested at the null hypothesis:
This means that [tex]\mu = 8.5[/tex]
The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.
This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]
[tex]z = -2.06[/tex]
A test statistic of -2.06 should be used.
Geometry Question! WORTH 20 POINTS
Answer:
x = 65
Explanation:
A whole circle equals 360*
half of that is 180*
180 - 115 = 65
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator
0.30 cm to 0.42 cm
Answer:
[tex]\dfrac{5}{7}[/tex]
Step-by-step explanation:
Given numbers are :
0.30 cm and 0.42 cm
We need to find the ratio of the above whole numbers.
Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,
[tex]\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}[/tex]
So, the required fraction is equal to [tex]\dfrac{5}{7}[/tex].
I need work shown as well
Answer:
A
Step-by-step explanation:
area of the triangle is 5 x 2/ 2 which is 5
area of the square is 25
area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125
9.8125. + 25 + 5 = 39.8125
Quick!!!!!!!!!! I don't have long
Answer:
B
Step-by-step explanation:
CORRECT 100%!!!!!!!!!!!!!!!
Answer:
Answer is b w=5
Step-by-step explanation:
PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.
5 y minus 3 y + 12
The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.
Answer:
2y+12
Step-by-step explanation:
First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.
Can any body help me and no links
Answer:
C
Step-by-step explanation:
7.67 is greater than 7.66666...
Rewrite each if the following division problems as a multiplication problem.
a. 24/3 = 8
b. 336/8 = x
9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?
Answer:
I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong
Step-by-step explanation:
a certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Colony after 2 hours?
a. 6
b. 12
c. 32
d. 64
The population of The Colony after 2 hours is d. 64
How to determine the population?The given parameters are:
Initial, a = 1
Rate, b = 2 every 20 minutes
An exponential function is represented as:
y = ab^x
So, we have:
y = 1 * 2^x
y = 2^x
There are six 20 minutes in 2 hours.
This means that:
x = 6
So, we have:
y = 2^6
Evaluate
y = 64
Hence, the population of The Colony after 2 hours is d. 64
Read more about exponential functions at
https://brainly.com/question/2456547
#SPJ1
Solve for p.
-4.5 + 2/3
- 18.9
A
p=-117.9
B.
p = -108.9
С
p = -86.4
D
P = 140.4
Answer:
me no sabo
Step-by-step explanation:
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
Step-by-step explanation:
because the value went down.. we know the the rate of return , is negative. then we just have to think about , how much is 50 of 1000 ?? well 10 is 10% of 100 right? so 100 is 10% or 1000, right? sooo half of 100, or 50, is 5% of 1000,
so -5% is the return on investment (roi)