Answer:
D) [tex]15x^8y^3[/tex]
Step-by-step explanation:
Area = Length * Breadth
Area = [tex]5x^6y^2*3x^2y[/tex]
Apply exponent rule: [tex]a^b*a^c=a^{b+c}[/tex]
Therefore,
Area = [tex]5x^{6+2}y^2* \:3y[/tex]
Area = [tex]5x^8y^2*3y[/tex]
Apply exponent rule as mentioned above:
Area = [tex]5x^8y^{2+1}* \:3[/tex]
Area = [tex]5x^8y^3*3[/tex]
Multiply 3:
[tex]15x^8y^3[/tex]
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
y = –2
y = 2
y = 6
6y –2(y + 1) = 3(y – 2) + 6?
The answer is y = 2 (the third option.)
Answer:
y = 2
Step-by-step explanation:
[tex]6y-2(y+1)=3(y-2)+6\\\\6y-2y-2=3y-6+6\\\\4y-2=3y\\\\4y-2=3y\\\\4y-2+2=3y+2\\\\4y=3y+2\\\\4y-3y=3y-3y+2\\\\\boxed{y=2}[/tex]
Hope this helps.
x+ 2 / X + 3 =5 plz give me and
Answer:
The answer is x = -13/4
Step-by-step explanation:
-13/4 + 2 / -13/4 +3 = 5
Two sisters, Lily and Suri, have been saving money for college for the past several years. At the end of the first year, each sibling had $20. At the end of every year after
that, Lily managed to triple the total amount from the previous year, while Suri increased the total amount from the previous year by $80.
If the trend continues, how many years will it take Lily to have more money saved than Suri?
Answer:
1st year:
Lily:20
Suri:20
2nd year
L:20*3=60
S:20+80=100
3rd year
L:60*3=180
S:100+80=180
4th year
L 180*3=540
S 180+80=260
It will take Lily 4 years to hve more money saved than Suri
Step-by-step explanation:
M is the midpoint of AC what is AC x+20 5x-4
Estimate √62 to the tenth's place
Answer:
Step 1: Calculate. We calculate the square root of 62 to be: √62 = 7.87400787401181.
Step 2: Reduce. 7.87.
Step 3: Round. Round 7.87 so you only have one digit after the decimal point to get the answer: 7.9.
Step-by-step explanation:
I hope this help
Step-by-step explanation:
Square Root of 62 to the nearest tenth, means to calculate the square root of 62 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 62 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 62 to be:
√62 = 7.87400787401181
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
7.87
Step 3: Round
Round 7.87 so you only have one digit after the decimal point to get the answer:
7.9
To check that the answer is correct, use your calculator to confirm that 7.92 is about 62.
How do you solve this ?
Answer:
-2
Step-by-step explanation:
Step 1. Copy the given expression.
(a + y)^2 + 2y =
Step 2. Replace each variable by the value given.
We are given a = 5; y = -3.
= (5 + (-3))^2 + 2(-3)
Evaluate the expression using the correct order of operations.
= (2)^2 - 6
= 4 - 6
= -2
Karim builds a wooden table. 3 Superscript 4 in. A rectangle with a width of question mark inches. The rectangular top of his table has an area of 3 Superscript 7 square inches and a length of 3 Superscript 4 inches. What is the width of the table top?
Answer:
3^3 in = 27 in
Step-by-step explanation:
The area is given by the formula ...
A = LW
Filling in the given values, we can find the unknown.
3^7 in^2 = (3^4 in)×W
(3^7 in^2)/(3^4 in) = W = 3^3 in . . . . . . . divide by the coefficient of W
The width of the tabletop is 3^3 = 27 inches.
___
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
Answer:
Step-by-step explanation:
just took the test answer is B
is 121,196,24 and 12 rational numbers or irrational numbers
Answer:
Its a rational number
Use a number line to show why this is true.(+3)-(-2)=(+3)+(+2)
Answer:
It is true - multiply by - is equal to +
so
3-(-2)=3+2
3+2=3+2
5=5
so
its true in mathematically form
Step-by-step explanation:
Please help this is important
-1.5x+12=2.5x-12
Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
3x+10 = 0 will has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions
Is 5 1/2 rational or irrational ?
Answer:
Rational
Step-by-step explanation:
It is a rational number because any number that can be rewritten as a simple fraction is a rational number. This means that natural/counting numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers such as 1 ½.
5. Of the following data sets, which has the greatest range?
A. {3, 4, 5, 6, 7, 8, 9, 10, 11, 12
B. {4, 13, 4, 12,5)
C. {1, 5, 3, 11, 6)
D. {1, 10)
E. {100, 100)
Answer:
Its E
Step-by-step explanation:
Just add the set of number stogether and pick the highest number.
What is meant by “adversarial tactics”?
What is the value of (52 – 10) ÷ 5 × 23?
Answer: 193.2
Step-by-step explanation:
Answer:
193.2
Step-by-step explanation:
52 - 10 = 42
42 divided by 5 equal 8.4
8.4 times 23 equals 193.2
hopefully this helps you :)
pls mark me brainlest pls ;)
18.194 rounded to the tenths
Answer:
18.2
Step-by-step explanation:
To round 18.194 to the nearest tenth consider the hundredths’ value of 18.194, which is 9 and equal or more than 5. Therefore, the tenths value of 18.194 increases by 1 to 2.
18.194 rounded to the nearest tenth = 18.2
I can't figure this out can someone help me please?
Answer:
Any value of m, except when m = -12.7, will make the expression equal to 6.35
Step-by-step explanation:
The equation you are given is:
6.35 = 12.7 + m / m + 12.7
First you need to know the rule that anything divided by itself will equal 1.
So no matter what number you use to substitute for m it will equal one because both the top and bottom of the division sign are the same. Except if you use negative 12.7 or a to high of a negative which will cause it to equal -1 which multiplied by 6.35 would equal -6.35
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n = −m − a n=a+m n=m−a n = a − m
Answer:
[tex]n = m - a[/tex]
Step-by-step explanation:
Given
[tex]a = m - n[/tex]
Required
Solve for n
[tex]a = m - n[/tex]
Add n to both sides
[tex]a + n = m - n + n[/tex]
[tex]a + n = m[/tex]
Subtract a from both sides
[tex]a - a + n = m - a[/tex]
[tex]n = m - a[/tex]
Hence, option C answers the question
Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table below: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s lifetime? Explain your reasoning. 5. Reason abstractly. A man was born during a year in which the Johnson comet was visible in the sky. The next time that the comet was visible after the man’s birth year was in 2005. In what year was the man born? The table to use is attached to the question.
Answer:
Step-by-step explanation:
Occurrence Year seen Difference
1 1949 -
2 1956 1956 - 1949 = 7
3 1963 1963 - 1956 = 7
4 1970 1970 - 1963 = 7
Difference between each successive term of year seen = 7 years
Therefore, there is a common difference of 7 years between each successive term.
Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)
2017 - 1970 = 47 (It's not the multiple of 7)
2018 - 1970 = 48 (It's not the multiple of 7)
2019 - 1970 = 49 (multiple of 7)
2020 - 1970 = 50 (It's not the multiple of 7)
Therefore, comet will be seen next in 2019.
Option (C) will be the answer.
If a person is born in 2005
Then difference between 2005 and 1949 = 56 years
Number of times comet seen after 1949 = [tex]\frac{56}{7}=8[/tex] times
Total number of comet seen in the lifetime = 8 times
pls help best answer gets brainest
Answer:
0.6
Step-by-step explanation:
Positive is right and Negative is left. Move from 0 right to 1.4 and then move left 0.8 units to end up at 0.6
The graph shows the reciprocal parent function.
5
41
5
-5
Which statement best describes the function?
A. The function is positive when x<0.
B. The function is always positive.
C. The function is positive when x < 0 and when x > 0.
D. The function is positive when x > 0.
Answer:
The correct option is;
D. The function is positive when x > 0
Step-by-step explanation:
The reciprocal parent function is of the form;
[tex]y = \dfrac{a}{x - h} + k[/tex]
Where;
h = The horizontal translation
k = The vertical translation
a = The orientation of the graph
Therefore, whereby we have, h = 0, k = 0. and a = 1, the equation becomes;
[tex]y = \dfrac{1}{x - 0} + 0 = \dfrac{1}{x}[/tex]
Therefore, the value of the function y is positive when x > 0 and is negative when x < 0.
PLS I NEED HELP Choose all of the expressions with a product of at least 50.
A. 10.7 times 5
B. 8.4 times 6
C. 7.33 times 6
D. 7.5 times 7.5
E. 2.1 times 24
Answer:
Its B
Step-by-step explanation:
Im really good with answers trust me
The expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
A product of a number's prime factors is the prime numbers that need to be multiplied together to make that number.
We have to choose the expressions with a product of at least 50.
According to given question we have
10.7 times 5=10.7*5=53.5
8.4 times 6 =50.4
7.33 times 6 =43.98
7.5 times 7.5 =56.25
2.1 times 24 =50.4
Therefore, the expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ2
three-quarters of students are wearing the school's colors. if there are 300 students how many are wearing the colors?
Answer:
225 students are wearing school colors.
Step-by-step explanation:
1. we know that 75% or .75 of the students are wearing school colors.
2. to find what this number is we need to know what 75% of 300 is.
("of" is a keyword meaning multiply)
3. We can do this by multiplying:
300(.75) = 225
if f(x) = -x^2+4x-9 and g(x) = x - 8 find g(f(-1)).
Answer: g(f(-1))=-22
Step-by-step explanation:
To find g(f(-1)), you want to first want to solve f(-1). Once you solved that, you plig the answer you get into g(x). Then, you will have your final answer.
f(-1)=-(-1)²+4(-1)-9 [exponent]
f(-1)=-1+4(-1)-9 [multiply]
f(-1)=-1-4-9 [subtract from left to right]
f(-1)=-14
We have found that f(-1)=-14. Now, we know in -14 into g(x) and solve.
g(-14)=(-14)-8 [subtract]
g(-14)=-22
Now, we know that g(f(-1))=-22.
a researcher is studying a group of field mice. the distribution of the weight of field mice is approximately normal with mean 25 grams and standard deviation 4 grams. which of the following is closest to the proportion of field mice with a weight greater than 33 grams?
a)0.046
b)0.977
c)0.954
d)0.023
Using the normal distribution, it is found that the proportion is closest to 0.023, given by option d.
---------------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
---------------------------------
Mean of 25 means that [tex]\mu = 25[/tex]Standard deviation of 4 means that [tex]\sigma = 4[/tex].The proportion above 33 is 1 subtracted by the p-value of Z when X = 33, thus:[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 25}{4}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.977.
1 - 0.977 = 0.023
Thus the proportion is 0.023, given by option d.
A similar problem is given at https://brainly.com/question/15181104
nilai dari x memenuhi pertidaksamaan [x-1]<2
Answer:
uh
Step-by-step explanation:
The perimeter of triangle STU is 28.8 centimeters. Which is the perimeter of triangle JKL?
Answer:
You forgot to add a picture and/or more context.
Step-by-step explanation:
Answer:
j
Step-by-step explanation:
p(x)=-4x-2
Find p(a-3)
What is 5c - 6 = 4 -3c, im blanking on what im supposed to do
Step-by-step explanation:
im pretty sure ur supposed to find so the answer woild be c=0.8
Hey there!
[tex]Answer:\boxed{c=\frac{5}{4}}[/tex]
[tex]Explanation:[/tex]
[tex]5c-6=4-3c[/tex]
[tex]5c+-6=4+-3c\\5c-6=-3c+4[/tex] Simplify both sides of equation.
[tex]5c-6+3c=-3c+4+3c\\8c-6=4[/tex] Add 3c to both sides.
[tex]8c-6+6=4+6\\8c=10[/tex] Add 6 to both sides.
[tex]\frac{8c}{8}=\frac{10}{8}[/tex] Divide both sides by 8.
[tex]c=\frac{5}{4}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
XD XD XD I need help
Answer:
27 cubic units
Step-by-step explanation:
Volume = length*width*height, or lwh. Since the lwh of this cube is 3*3*3, multiply to get 27.
Answer:
27
Step-by-step explanation:
i multiplied.