Answer:
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Step-by-step explanation:
Given the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
solving the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
[tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]
[tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]
The multiply fractions are defined as
[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3}{2^2x^9y^8}[/tex]
Refining
[tex]=\frac{27}{4x^9y^8}[/tex]
Therefore,
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
(02.04 HC)
A random sample of online makeup tutorial videos and sales of makeup was measured, and the computer output for regression was obtained:
Coefficients Standard Error t Stat P-value
Intercept −7.567857143 0.426240686 −17.7549 1.04E-05
Makeup Tutorial Videos 0.917857143 0.028166777 32.58652 5.11E-07
R-sq. = 99.53% R-sq. (adj) = 99.44%
Part A: Use the computer output to determine the LSRL. Identify all the variables used in the equation. (3 points)
Part B: What proportion of the variation in makeup sales is explained by its linear relationship to makeup tutorial videos? Explain. (4 points)
Part C: Determine if increased makeup sales were caused by online makeup tutorial videos. Explain your reasoning. (3 points)
Answer:
Explained below.
Step-by-step explanation:
A.
The least square regression line is:
[tex]\hat y=-7.567857143+0.917857143\cdot x\\\\\approx \\\\\hat y=-7.568+0.918\cdot x[/tex]
Here,
y = estimated sales of makeup
x = number of online makeup tutorial videos
a = -7.568 = intercept
b = 0.918 = slope of the regression line
B.
The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
So, the proportion of the variation in makeup sales that can be explained by its linear relationship to makeup tutorial videos is 99.53%.
C.
Consider the LSRL.
The slope of the regression line is positive, i.e. there is a positive relationship between the makeup sales and the online makeup tutorial videos.
So, with one unit increase in the online makeup tutorial videos the makeup sales goes up by 0.918 units.
Thus, it can be said that the increased makeup sales were caused by online makeup tutorial videos.
In Brock’s class of 25 students, 15 students report that math is their favorite class and 40% of the students report that science is their favorite class. Show your work to explain how to determine whether more students prefer math or science.
PLEASE I NEED help ASAP DUE in 10 minutes!!!!! PLEASE PLEASE
Answer:
Most students prefer math
Step-by-step explanation:
Rectangle WXYZ will be dilated by a scale factor of 12, creating rectangle W'X'Y'Z'.
What will be the perimeter of rectangle W'X'Y'Z'?
1. 4 Units
2. 6 Units
3. 12 Units
4.24 Units
Answer:
12
Step-by-step explanation:
.A length, originally 9cm, is increased so that the ratio of the new length to the old length is 13:3. What is the new length
Answer:
The new length is 39 cm
Step-by-step explanation:
We will use the ratio method to solve the question
∵ A length, originally 9cm, is increased
∴ The original length = 9 cm
∵ The ratio of the new length to the old length is 13 : 3
→ That means the ratio is ⇒ New : Original is 13 : 3
∴ The ratio New : Original = 13 : 3
→ By using the ratio method
→ New : Original
→ 13 : 3
→ x : 9
→ By using cross multiplication
∵ x × 3 = 13 × 9
∴ 3x = 117
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{117}{3}[/tex]
∴ x = 39
∵ x represents the new length
∵ x = 39
∴ The new length is 39 cm
simplify the following expressions.
Rectangle Length (cm) Width (cm)
#1 (1 + 9x) 4
#2 (5n + 7) 6
#3 (4 - 3p) 8
#4 (6p - 7) 4
#5 (3m - 6) 5
#6 (x + 9) 5
143 is divided in to 2:3:6
Calculate the smallest share
Answer:
26
Step-by-step explanation:
2+3+6=11
143/11*2=26
Answer:
26
Step-by-step explanation:
13 each
26 for 2
39 for 3
78 for 6
all together equals
143 for 11 or 2:3:6
Drag the numbers to match each expression with its product.
3
32
36
28
24
Expression
Product
4x9
4x7
4x8
4 x6
Answer:
4×9=36
4×7=28
4×8=32
4×6=24
Step-by-step explanation:
pls make me ur brainliest
what is the value the first digit 0.737
Answer:
0
Step-by-step explanation:
the value of the units is 0
Fredy and his friends went to a basketball game. Fredy decided to buy refreshments for everyone. He bought hot dogs, which cost $5
each and sodas, which cost $2 each. He spent a total of $33. Which algebraic equation could be used to represent the number of hot dogs, h, and the number of sodas, s, that Fredy had bought?
A. 2h+5s = 33
B. 7(h+5)= 33
C. 5h+ 25 = 33
D. h+s=33
Answer:
C
Step-by-step explanation:
To gather information about the accuracy of a new cholesterol test, a random sample of 20 hospitals was selected from the state. The new test was administered to every patient in the selected hospitals. What kind of sample is this?
A)a cluster sample
B)a simple random sample
C)a stratified random sample
D)a systematic random sample
E)a voluntary response sample
Answer:
The answer is a) a cluster sample.
Step-by-step explanation:
This is because the hospitals are the randomly picked clusters.
which equation has a constant proportaionnality equal to 9
a:y=81/3x
b:y=9x
c:y=3x
d:y=1/9x
Answer:
the answer is b y=9x is the consran proportionality.
Given g(x) = ln x, is it true that if u>0 and v>0 g(u) = 2g(v), then u=v?
Justify your answer.
Will give brainliest answer
Answer:
FalseStep-by-step explanation:
Giveng(x) = ln xTo findg(u) = 2g(v)Solutiong(u) = ln u2g(v) = 2ln vComparing
g(u) = 2 g(v)ln u = 2ln vln u = ln v²u = v²This is not same as u = v, so the answer is false
Answer:
41
Step-by-step explanation:
2021 eng
PLEASE I NEED HELP ASAP I WILL GIVE POINTS TO EVERYONE WHO GIME VE THE RIGHT ANSWER
I attached you in the image the answer. The blue corresponds to the first exercise and the red one to the second. Good luck! And I hope it helped you!
3a + 10 − 4q + 7a − 4q − 6.
Answer:
Step-by-step explanation:
3a+10-4q+7a-4q-6 combine terms
10a-8q+4
Answer:
10a - 8q + 4
General Formulas and Concepts:
Alg I
Combining like termsStep-by-step explanation:
Step 1: Define expression
3a + 10 - 4q + 7a - 4q - 6
Step 2: Simplify
Combine like terms (a): 10a + 10 - 4q - 4q - 6Combine like terms (q): 10a - 8q + 10 - 6Combine like terms: 10a - 8q + 4Write the equation of the line fully simplified slope-intercept form.
Answer:
y=4/5x + 8
Step-by-step explanation:
The 8 is the y-intercept and the 4/5 is the slope when you do rise/run on the marked points.
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henry has $14.00, which of the following shows the number of miles you can afford to ride in the taxi?
Answer:
The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 miles.
Step-by-step explanation:
Please help I have no idea what the answer is
Answer:
x= 35
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
102+43=145
180-145=35
-3x - 5y = -15
-3 - 3y = -3
Answer:
1) x = -y + 5
y = - 3/5x + 3
2) y = 0
Step-by-step explanation:
Please Helpppp
What is the value of v?
45(v−7)=2
Enter your answer as a mixed number in simplest form in the box.
v =
Answer:
The solution is: v = [tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
Given equation is:
[tex]\frac{4}{5}(v-7) = 2[/tex]
The given equation is a linear equation in one variable. The solution requires isolating v on one side of the equation. Simple equality properties can be used to solve the equation.
So,
Multiplying both sides of equation with 5
[tex]5*\frac{4}{5}(v-7) =5* 2\\{4}(v-7) = 10[/tex]
dividing both sides by 4
[tex]\frac{4(v-7)}{4} = \frac{10}{4}\\v-7 = \frac{5}{2}\\[/tex]
Adding 7 on both sides
[tex]v-7+7 = \frac{5}{2}+7\\v = \frac{5+14}{2}\\v = \frac{19}{2}\\v = 9\frac{1}{2}[/tex]
Hence,
The solution is: v = [tex]9\frac{1}{2}[/tex]
The total number of seashells s divided by 10
Beth needs 16 cups of milk to make mango milk shakes for her friends. If 1 pint is equal to 2 cups, how many pints of milk should Beth buy?
please helpppp!!! im confused lol
Answer:
5
Step-by-step explanation:
Answer:
It is 4
Step-by-step explanation:
4 will always be the same it is the independent variable. The values of 5x2 and 7x are the dependent variables meaning that those values will change depending on the values of x
i have no idea what this is.
Answer:
....
Step-by-step explanation:
In Buffalo New York the temperature was 10f in the morning if the temperature rose 10f what is the temperature now? Use a vertical number line to find the number.
Answer:
The temperature now is 20°F
Step-by-step explanation:
The given parameters are;
The initial morning temperature in Buffalo New York = 10°F
The rise in temperature in Buffalo New York = 10°F
The current temperature in Buffalo New York = The initial morning temperature in Buffalo New York + The rise in temperature in Buffalo New York
∴ The current temperature in Buffalo New York = 10°F + 10°F = 20°F.
can u explain this please I don't understand
-2w-5(-4z+2w)+2z
Answer: −12+22
Rearrange terms
−2w−5(−4z+2w)+2z
− 2 − 5 ( 2 − 4 ) + 2
Distribute
−2−10+20+2
Combine like terms
-2w -10
-12+20+2
Combine like terms
−12+20+2
−12+22
hope this helps!
PLEASE HELP NOW ASAP Peyton is collecting data on the lunch habits of students at Nicholas Orem Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Nicholas Orem Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch? *
Answer:
1000 students buy a lunch
Step-by-step explanation:
14 bring lunch
20 buy lunch
There are 34 kids in the sample class (14 + 20)
14/34 = .412 = 41.2%
There are 1700 students.
14 / 34 = x / 1700 cross multiply
14 (1700) = 34x
23,800 = 34x Divide each side by 34
23800/34 = 34x/34
23800/34 = x
700 = x
So 700 students bring a lunch.
1700 - 700 = 1000
1000 students buy a lunch.
An ice sculpture is melting from the heat. Assuming its height changes by meters every hour, what will be the change in height after 4 hours?
Question 14 options:
1)
meters
2)
meters
3)
meters
4)
meters
Answer:
number of meters per hour x 4 hours = the height after 4 hours
Step-by-step explanation:
Can you guys help pls
Answer:
72 cm is the correct one
Answer:
It's c 42 cm
Step-by-step explanation:
Found answer on google
Also can u pls mark me brainliest bc im new
plz someone help lol....
Answer:
J
Step-by-step explanation:
x represents the number of gallons of gas and realistically you can’t have negative gallons
what is the value of x in the equetion 3/4(1/4x+8)-(1/2+2)-3/8(4-x)-1/4x?