3^5 / 3^2 - 4^3 / 4^2 = ? *
Answers
Hello!
We have the expression:
\(\frac{3^5}{3^2}-\frac{4^3}{4^2}\)The first step is to solve each fraction, then we can subtract it, look:
1st fraction:
\(\frac{3^5}{3^2}=3^5-3^2=3^{5-2}=3^3\)2nd fraction:
\(\frac{4^3}{4^2}=4^3-4^2=4^{3-2}=4^1\)Now, let's subtract the second value from the first value:
\(3^3-4^1=(3\cdot3\cdot3)-4=27-4=23\)The result of this expression is 23.
Related Questions
Below is some output from the regression on the furniture factory data. What does the R-square value tell us?That we cannot reject the null hypothesis
That there is multicollinearity between the independent variables
That on average, 0.7059 more chairs are produced during weekday shifts than during weekend shifts.
That 71% of the variability in the number of chairs produced can be explained by whether the shift is in the morning or evening and whether it is a weekday shift or weekend shift.
Answers
The R-square value informs us that whether the shift is in the morning or the evening and whether it is a weekday shift or weekend shift may account for 71% of the variability in the number of chairs generated.
The R-square statistic measures how much of the variance in the dependent variable in a regression model is accounted for by the independent variables. A better fit of the model to the data is indicated by higher values, which range from 0 to 1.
A value of 0 indicates that no variation is explained by the independent variables, while a value of 1 indicates that all variation in the dependent variable is explained by the independent factors.
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What is 9,846,000,000,000 expressed in scientific notation?
A. 9.846 × 10 on top 12
B. 98.46 × 10 on top 11
C. 9.846 × 10 on top 13
D. 98.46 × 10 on top 12
please help me out
Answers
Answer:
A
Step-by-step explanation:
Let's simplify.
9,846,000,000,000There are 9 zerosSo, take the number terms separately and the zeros as powers of 109,846 x 10⁹Now, divide by 10³ to get in standard notation9.846 x 10¹² (9.486 x 10 on top 12)Option A2000 yds = __________ miles __________ yds
Answers
Answer:
1 mile and 240 yards
Step-by-step explanation:
Which graph represents the function y=-(x-2)²+3?
Answers
Answer:
Graph D
Step-by-step explanation:
the bottom right graph represents the function y=-(x-2)²+3. I put it in a graphing calculator soo
1a) Let f(x)=ax^2-4x-c. A horizontal line, L, intersects the graph of f at x= -1 and x=3.
The equation of the axis of symmetry is x=p. Find P
The equation of the axis of symmetry is x=p. Find p
1b) Hence, show that a=2
1c) The equation of L is y=5. Find the value of C.
Answers
The equation of the axis of symmetry is \(\mathbf{x =1}\), the value of a is 2, and the value of c is 1.
The function is given as:
\(\mathbf{f(x) = ax^2 -4x - c}\)
Line L is represented as:
\(\mathbf{(x,y) = (-1,5)(3,5)}\)
Substitute the above values in: \(\mathbf{f(x) = ax^2 -4x - c}\)
So, we have:
\(\mathbf{5 = a(-1)^2 - 4(-1) - c}\)
\(\mathbf{5 = a(3)^2 - 4(3) - c}\)
Expand \(\mathbf{5 = a(-1)^2 - 4(-1) - c}\)
\(\mathbf{5 = a + 4 - c}\)
Expand \(\mathbf{5 = a(3)^2 - 4(3) - c}\)
\(\mathbf{5 = 9a - 12 - c}\)
Subtract \(\mathbf{5 = a + 4 - c}\) and \(\mathbf{5 = 9a - 12 - c}\)
\(\mathbf{5 - 5 = a - 9a + 4 + 12 -c + c}\)
\(\mathbf{0 = - 8a + 16}\)
Collect like terms
\(\mathbf{8a = 16}\)
Divide both sides by 8
\(\mathbf{a = 2}\)
Substitute \(\mathbf{a = 2}\) in \(\mathbf{5 = a + 4 - c}\)
\(\mathbf{5 = 2 + 4 - c}\)
\(\mathbf{5 = 6 - c}\)
Subtract 6 from both sides
\(\mathbf{-1 = - c}\)
So, we have:
\(\mathbf{c = 1}\)
Recall that:
\(\mathbf{f(x) = ax^2 -4x - c}\)
Where:
\(\mathbf{a = 2}\) and \(\mathbf{b = -4}\)
The equation of the axis of symmetry is:
\(\mathbf{x = -\frac{b}{2a}}\)
So, we have:
\(\mathbf{x = -\frac{-4}{2 \times 2}}\)
\(\mathbf{x = -\frac{-4}{4}}\)
\(\mathbf{x =1}\)
Hence, the equation of the axis of symmetry is \(\mathbf{x =1}\), the value of a is 2, and the value of c is 1.
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f(x) = 4x3 + 7x2 – 2x - 1
g(x) = 4x - 2
Find (f - g)(x).
A. (f - g)(x) = 4x3 + 7x2 – 62 – 3
B. (f - g)(x) = 4x3 + 7x2 - 6x +1
c. (f - g)(x) = 4x3 + 7x2 + 2x + 1
D. (f - g)(x) = 4.23 + 7x2 + 2x - 3
SUBMIT
Answers
Answer: The answer is B
Step-by-step explanation:
find the line of best fit for the set of data
Answers
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
Answers
Answer:
314
Step-by-step explanation:
First, find the diameter which is 10 and square it. Then, multiply by pi or 3.14 to get 314.
(IF THIS HELPED PLEASE GIVE BRAINLIEST!)
In a recent text message survey, 4,000 randomly selected teenagers were asked to cite their favorite Florida college football team. Twenty-two of 40 teenagers said the Florida Gators are their favorite team. A 99% confidence interval to estimate the true proportion of teenagers who like the Florida Gators is found to be (0.3474, 0.7526). Which of the following is a correct interpretation of the confidence level?
Answers
Ninety-nine percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who like the Florida Gators. So the option 1 is correct.
As we know that the confidence interval shows the accuracy of our procedure. If the confidence interval is high that means it have more less error that means it meets the almost all the conditions.
Option 1 is correct since the confidence level is for the population mean and not interval values
Option 2 is incorrect since population mean is fixed value and we cannot make it probabilities by using a chance term
Option 3 is incorrect since interval is for population value and not sample values
Option 4 is correct (Since confidence level gives confidence to contain true population parameter)
Option 5 is incorrect since it uses a chance term as well no interval is defined here
Therefore correct option is:
Ninety-nine percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who like the Florida Gators.
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Find the surface area of the regular pyramid.
Answers
Answer:
D
Step-by-step explanation:
It helps to break the pyramid into shapes
triangles: ((b x h) ÷ 2) x 5
((4 x 8) ÷ 2) x 5= 80in
base: 27.5in
total sa: 27.5 + 80 = 107.5in
Simplify the equation -9b+2b-4+2
Answers
Answer:
-7b-2
Step-by-step explanation:
add the B‘s together = -9b+2b= -7b
now add -4+2= -2
simplified equation= -7b-2
hope this helps!
Answer: -7b-2
Step-by-step explanation:
hope this helps ❤❤
THANK YOU.
Help stat please.Brainlist for the best ansmwer
Answers
(-9/8)x-7=-25
Multiply both sides by 8
-9x-56=-200
Move the constant to the right
-9x=-200+56
-9x=-144
-9x/-9=-144/9
x=16
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answers
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
(b) At the beginning of the term, Caroline bought p notebooks and Bert bought 5 notebooks less than Caroline. During the term, Caroline gave 2 of her notebooks to her sister. Caroline then had twice as many notebooks as Bert. By writing a suitable equation, calculate the number of notebooks Caroline now has.
Answers
The number of Caroline's textbook is 8
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
Represent the Notebook bought by Bert as q
q = p-5
p-2= 2q
p = 2q +2
substitute 2q +2
q = 2q+2-5
2q-q = 3
q = 3
substitute 3 for q
3 = p-5
p = 5+3
p= 8
Therefore Caroline's number of notebook is 8
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A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a) 90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144. c) 90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144d) We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
Answers
Answer:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
Step-by-step explanation:
Confidence interval:
Confidence level of x%
We build from a sample.
Between a and b.
Intepretation: We are x% sure that the population mean is between a and b.
In this question:
90%
45 CEO's
Between ($139,048, $154,144).
So
We are 90% sure that the mean salary of all CEO's falls within this interval.
The correct answer is:
b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
7(w+1)=5(2w-3)+1
Need Steps!
Answers
Answer:
w = 7
Step-by-step explanation:
7(w + 1) = 5 (2w - 3) + 1
Use distributive property
7w + 7 = 10w - 15 + 1
Add/subtract any same variables and numbers
7w + 7 = 10w - 14
Goal: isolate the variable (w)
Add 14 to both sides - this cancels out the 14 on the right side and transfers it to the left side
7w + 7 + 14 = 10w - 14 + 14
7w + 21 = 10w
Subtract 7w from both sides - this cancels out the 7w on the left side and transfers it to the right side
7w - 7w + 21 = 10w - 7w
21 = 10w - 7w
21 = 3w
Divide both sides by 3 - this cancels out the 3 on the right side and transfers it to the left side
21 ÷ 3 = 3w ÷ 3
3 divided by 3 = 1 (you do not have to add a 1 before a variable so the result is as follows)
21 ÷ 3 = w
Variable is now successfully isolated
7 = w
The longest real word get brainliest
Answers
couldddddddddd i have some help super fast?
Answers
Answer:
\(\textsf{a)} \quad P=-20(x-2)^2+3380\)
b) cost of ticket = $13
max profit = $3380
number of tickets sold = 260
Step-by-step explanation:
Profit equation: \(P=20(15-x)(11+x)\)
Part (a)Vertex form of quadratic equation: \(y=a(x-h)^2+k\)
(where (h, k) is the vertex and \(a\) is some constant)
First, write the given profit equation in standard form \(ax^2+bx+c\):
\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)
Factor -20 from the first two terms:
\(\implies P=-20(x^2-4x)+3300\)
Complete the square:
\(\implies P=-20(x^2-4x+4)+80+3300\)
\(\implies P=-20(x-2)^2+3380\)
Part (b)The vertex of the profit equation is (2, 3380).
Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13
The maximum profit is the y-value of the vertex: $3380
The number of tickets sold at this price is:
⇒ max profit ÷ ticket price
= 3380 ÷ 13
= 260
I need help with this
Answers
Answer:
90 degrees
Step-by-step explanation:
Hope thishelps. :) :D
The function f(x)=−3x+2 is defined over the domain −1
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The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.
The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.
The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.
Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.
Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.
Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.
Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.
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LLLLLLLLLLL anyone need help with challenges?
Answers
Answer:
yes can you help me please
Step-by-step explanation:
Answer:
my challenge is to get brainliest
make me brainliest pls
Step-by-step explanation:
:)
A triangle has an area that is 125 m2. The measure of the base is 20 m so, h = ? m.
Answers
Answer:
12.5
Step-by-step explanation:
12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.
Answer:
Hello! answer: h = 12.5
Step-by-step explanation:
H = 12.5 because 12.5 x 20 = 250 then we divide by 2 and get our area 125. so h = 12.5
Write the fraction 2/7 as an equivalent fraction with the given denominator 21
Answers
Explanation:
2*3= 6
7*3=21
Solve and check: x + 10 + 4x + 90 = 180
Answers
Answer:
40
Step-by-step explanation:
Help ASAP I’ll mark branliest
Answers
Answer:
\(129^{0}\)
Step-by-step explanation:
Supplementary angles are two angles of which add up to \(180^{o}\).
Subtract 180 - 51 = 129
\(=129^{o}\)
20. Which value of x makes the inequality
3x 27 true?
A. x=8
B. x =10
C. X=12
D. x 14
Answers
Hey there!
3x = 27
DIVIDE 3 to BOTH SIDES
3x/3 = 27/3
CANCEL: 3/3 because it give you 1
KEEP: 27/3 because it help solve for the x-value
NEW EQUATION: x = 27/3
SIMPLIFY IT!
x = 9
Good luck on assignment & enjoy your day!
~Amphitrite1040:)
Solve the system of equations.
3x + 4y = 12
2x + y = 8
A (0, 3)
B (2, 3)
C (4, 0)
D (5, −2)
Answers
Answer: (4,0)
Step-by-step explanation:
You can use elimination to solve this. Multiply the bottom equation by -4 so that way the y's will cancel out. These are your equations now:
3x + 4y = 12
-8x - 4y = -32
Now add the equations vertically
-5x = -20
/-5 /-5
x = 4
You can now plug in x in one of the equations. it doesn't matter whihc one but I am going to use the bottom one.
2(4) + y = 8
8 + y = 8
-8 -8
y = 0
You now have your x and y so you can put it into a coordinate point. Your final answer is (4,0)
Answer:
C- (4,0)
Step-by-step explanation:
3x+4y=12
3x+(4y • 0)=12
3x/3=12/3
x=4
2(4)+y=8
8+y=8
-8 -8
y=0
Is the relation shown in the table below a function? (type in yes or no)
Answers
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.
If I had 20 dollars every other week for a year how much would I have
Answers
Write a mathematical sentence that expresses the information given below.
Use was your variable name. If necessary:
type < = to means
or > = to mean .
A business employs 150 workers at the start of the year, but then some
employees quit or are fired. After that, the business had 142 employees.
Answers
no idea if this is what you're looking for but if it is then here's the answer:
Part 1) The mean is 151
Part 2) The mean absolute deviation is 9.1
Step-by-step explanation:
step 1
Find the mean
Sum all the values and divide by the number of values
step 2
Determine the absolute value of subtract the mean from each value
step 3
Find the mean of those distances
----> this number is called the mean absolute deviation (MAD)V
Answer: its 100-e=42
Step-by-step explanation: i just answered it