Answer:
[tex]27x^{18}[/tex]
Step-by-step explanation:
[tex]\left(3x^6\right)^3[/tex]
Separate [tex]3x^6[/tex]:
[tex]3^3\times\left(x^6\right)^3[/tex]
[tex]27\times\left(x^6\right)^3[/tex]
[tex]27x^{6\times3}[/tex]
[tex]27x^{18}[/tex]
Jennifer is 3 years older than twice Zack’s age. The sum of their ages is 21. What are their ages?
Answer:
Jennifer is 15 and Zack is 6
Step-by-step explanation:
z+ (2z+3)=21
z+2z+3-3=21-3
z+2z=18
3z=18
3z/3=18/3
z=6
so plug 6 in for all the variables and their ages are
Zack-6
Jennifer-15
If the temperature is -4 and rises by 12 , what is the new temperature ?
Answer:
-4 +12 = 8
the new temperature is 8 degree
Step-by-step explanation:
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16. a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams. b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams. c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
Answer:
a)0.099834
b) 0
Step-by-step explanation:
To solve for this question we would be using , z.score formula.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.
a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.
Standard Deviation = √variance
= √0.16 = 0.4
Standard deviation = 0.4
Mean = 21.37
x = 20.857
z = (x-μ)/σ
z = 20.857 - 21.37/0.4
z = -1.2825
P-value from Z-Table:
P(x<20.857) = 0.099834
b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.
z score formula used = (x-μ)/σ/√n
x = 20.857
Standard deviation = 0.4
Mean = 21.37
n = 100
z = 20.857 - 21.37/0.4/√100
= 20.857 - 21.37/ 0.4/10
= 20.857 - 21.37/ 0.04
= -12.825
P-value from Z-Table:
P(x<20.857) = 0
c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
PLZ NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams
Answer:
d. 674,800
Step-by-step explanation:
1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000
Hope this helps, have a great day:)
Answer:
The answer is 674800 centigrams
Step-by-step explanation:
How many dekagram in 1 centigram? The answer is 0.001.
I assume you are converting between dekagram and centigram.
You can view more details on each measurement unit:
dekagram or centigram
The SI base unit for mass is the kilogram.
1 kilogram is equal to 100 dekagram, or 100000 centigram.
Note that rounding errors may occur, so always check the results.
Use this page to learn how to convert between dekagrams and centigrams.
Type in your own numbers in the form to convert the units! Hope this helps!
What is the mean for the following set of population scores:
X
f
7
1
6
1
5
2
4
3
3
6
2
6
1
1
66
28
04
03.3
Answer:
8.2944444444444
Step-by-step explanation:
the mean is 8
please give me a brainlest!
solve. 20 x 10⁵ = what i only have 5 minutes to answer this
Answer:
2000000
Step-by-step explanation:
20 x 100,000
Answer:
2000000 or 2×10^6
Step-by-step explanation:
[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]
a deer stands cast a shadow 15 feet long at the same time that a 4-foot-tall casts a shadow that is 6feet long. how tall is the deer stand
Answer:
10 feet
Step-by-step explanation:
i took the test
Please help! Will give brainliest.
Your cost for each light saber is $2.45 plus you have to pay a fixed weekly fee of $250 for the booth. You plan to sell each light saber for $4.15.
Write an expression that represents the profit for selling (n) light sabers in a given week.
How many light sabers must you sell in order to make a positive profit? (Profit>=0)
In order to make a positive profit, you would have to sell at least (blank) light sabers.
$4.15n - ($250 + $2.45n)
Now that we have our expression, let's set it greater than or equal to 0
$4.15n - ($250 + $2.45n) >= 0
Let's simplify the left side.
$4.15n - $250 - $2.45n >= 0.
Combine like terms.
$1.7n - $250 >= 0
Add $250 to both sides.
$1.7n >= $250
Divide both sides by $1.7
n >= 148
You would need to make 148 light sabers to make a positive profit.
For a certain city, the temperature each day this week can be described by the inequality below.
3d +6<A
In the inequality, d is the daily temperature in degrees Fahrenheit and A is the average temperature for the year. If A = 54 °F, which statement BEST interprets the solution to the in
A The temperature each day this week was less than 90 "F
B The average temperature for the year was less than 90 °F
c The temperature each day this week was less than 72 °F
DO The average temperature for the year was less than 72 °F
Answer:
Option C.
Step-by-step explanation:
We have the following inequality :
[tex]3d+6<A[/tex] (I)
In which :
[tex]d[/tex] : '' The daily temperature in degrees Fahrenheit ''
[tex]A[/tex] : '' The average temperature for the year ''
We first need to find the solution (the inequality related to the value of [tex]d[/tex]) given that we set [tex]A=54[/tex] °F ⇒
Using the equation (I) :
[tex]3d+6<54\\3d<48\\d<16[/tex]
We find that the ''[tex]d[/tex]'' variable (daily temperature in degrees Fahrenheit) is less than [tex]16[/tex] °F.
The option B and the option D give us an interpretation about the [tex]''A''[/tex] variable.
Only the options A and C give us an interpretion about the [tex]''d''[/tex] variable
Between A and C, the option C is a more accurate option (because 72°F is closer to 16°F).
We answer that the option C best interprets the solution.
If the standard volume of a
cube is 1.5cm³ calculate the
cm
percentage error in measuring its
volume which is found to be 1.6cm³
A:6.7%
B:-6.7%
C:5%
D:-5%
E:4%
Answer:
6.7 %
which agrees with answer A in your list.
Step-by-step explanation:
If the standard volume is 1.5 cubic cm, and the measured volume is 1.6 cubic cm, then the difference between these two is :
1.6 - 1.5 = 0.1 cubic cm. and therefore the percentage error is given by:
0.1/1.5 = 0.066666...which corresponds to a rounding of 6.7%
Recall as well that percent error is always expressed as a positive number.
Tom, Kwasi, and Juan purchased a large pizza to share. If Tom ate of
the pizza, Kwasi ate of the pizza, and Juan ate of the pizza, what
fractional part of the pizza was eaten?
Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?
Answer:
1 7/8 cups
Step-by-step explanation:
This is a addition problem. You need to add three fractions, so you need a common denominator.
The LCD is 2, 4, and 8 is 8.
3/4 + 5/8 + 1/2 =
= 6/8 + 5/8 + 4/8
= 15/8
= 1 7/8
Answer: 1 7/8 cups
Write the recurssive formula. Clarissa is buying a homecoming dress onlayaway. The dress costs $185. She makes a down payment of $20 to put the dress on layaway and then makes weekly payments of $15. In how many weeks will the dress be paid off?
Answer: x = 11
Step-by-step explanation:
185= 15x +20
minus 20 from both side
165 = 15x
divide 15 by both side
11 = x
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.
Answer:
Step-by-step explanation:
L is the midpoint of KM. So, length of KL = length of LM
KL = LM = 14x
KL + LM = KM
14x + 14x = 26x + 14 {add the like terms}
28x = 26x + 14 {subtract 26x form both sides}
28x - 26x = 14
2x = 14 {divide both side by 2}
2x/2 = 14/2
x = 7
KL = 14x = 14*7
KL = 98
-9 - 5 "add my positive add my negative"
Answer:
-14
Step-by-step explanation:
The answer is -14 because:
1) First, we need to know that:
negative x negative = positive
negative x positive = negative
positive x negative = negative
positive x positive = positive
2) -9 - 5 is negative times negative which makes it 9 + 5 = 14
3) Since the number with the negative sign is greater, the answer is -14
Hope this helps!
racional o irracional 1/9
Answer:
rational or racional
Step-by-step explanation:
A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
You have $12 to buy 5 goldfish for your new fish tank. Write and solve an
inequality the represents the prices you can pay per fish.
Answer:
[tex]5x \leqslant 12[/tex]
x = price per fish
An employment agency sells its services to companies
Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.
Answer:
11.31 units
Step-by-step explanation:
Find the distance of line segments AB, BC, CD, AD using the distance formula.
solve for x, UV and TV
We know that TV = TU + UV. Let's plug the values from the picture into our equation.
x + 25 = 9 + 2x + 28.
Let's combine like terms on the right side.
x + 25 = 2x + 37
Subtract 37 and x from both sides.
-12 = x
TV = x + 25 = -12 + 25 = 13
UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4
Answer:
.
Step-by-step explanation:
What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from
Answer:
[tex]\boxed{\tt m=0}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
[tex]x_{1}=-2\\y_{1}=8\\x_2=-22\\y_2=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-8}{-22--2}[/tex]
Solve the numerator. Subtract 8 from 8.
[tex]m=\frac{0}{-22+2}[/tex]
Zero divided by any number is zero, so we automatically know the slope is zero.
[tex]m=0[/tex]
The slope of the line is 0
Answer: 0
Step-by-step explanation:
To find the slope, you need to use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You use the given points to plug in and solve.
[tex]m=\frac{8-8}{-22-(-2)} =\frac{0}{-20}=0[/tex]
Now, we know that the slope is 0 meaning this is a horizontal line.
(10-3x2)2 someone solve this
Answer: 8
(10-3x2)2
(10-6)2
4 x 2
8
Answer:
8
Step-by-step explanation:
3×2=6
10-6=4
4x2=8
Your answer is 8
proportional relationships
Answer:
relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Step-by-step explanation:
Use rounding to estimate the product of 198 and 42 . Round both numbers to the nearest ten to find your answer.
Answer:
8000
Step-by-step explanation:
198 and 42 rounded to the nearest hundreths are 200 and 40. the product of 200 and 40 is 8000
The product of 198 and 42 rounded both numbers to the nearest ten
is 8000.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, Use rounding to estimate the product of 198 and 42.
Now, 198 rounded to the nearest ten is 200, and 42 rounded to the nearest ten is 40.
Therefore, The multiplication of 198 and 42 rounded to the nearest 10 is,
= 200×40.
= 8000.
learn more about rounding off of numbers here :
https://brainly.com/question/13391706
#SPJ2
calculate 188 meters___________Yards
Answer:
205.599
Step-by-step explanation:
Answer:
205.599 yards
Step-by-step explanation:
1 meter = 1.09361 yards
Multiply 188 meters by 1.09361 yards
188 meters = (1.09361 yards) x (188 meters)
= 205.599 yards
67000000 in scientific notation
Answer:
6.7 * 10^7
Step-by-step explanation:
Describe fully the single transformation that maps triangle A on triangle B
Answer:
It first starts with a dilation with a scale factor of 1/2. Than once the dilation is completed, a translation of 3 units to the right and 1.5 units down.
Step-by-step explanation:
answer me fast plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Shaniqua has a piece of red scrapbooking ribbon that is 2.715 inches long. She also has a piece of pink ribbon that is 3.154 inches long. How much longer is the pink ribbon than the red ribbon?
thank you
Answer:
0.439 in.
Step-by-step explanation:
This is a subtraction problem.
3.154 in. - 2.715 in. = 0.439 in.
Answer:
.439
Step-by-step explanation:
udnsksjdjxjxjxnxndndjdb pee