Answer:
D
Step-by-step explanation:
the v has an exponent of 6. thus is is 6th degree (degree is highest exponent in the polynomial). There is one term, hence is it a MON (one) ominal.
Put 'em together and you get:
6th degree monomial.
Have a nice day :)
9
Which sets of side lengths could form a triangle? Choose all that apply.
A 4 cm, 6 cm, 9 cm
B
3 cm, 7 cm, 9 cm
C 3 cm, 4 cm, 9 cm
D 4 cm, 5 cm, 9 cm
E 5 cm, 5 cm, 9 cm
F 3 cm, 6 cm, 9 cm
Answer: B,E, C
Step-by-step explanation:
2x/3 divided by 3x/2 if x does not equal 0
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
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Given 3 + 7 + 11 + 15 + … find S20
Answer:
Hi
Please mark brainliest ❣️
You are taking samples from a normally distributed population with mean 138 and standard deviation 14. Your batch size is 16. Let X-bar be the average of all 16 of your samples. What is the variance of X-bar?
The variance of X-bar is 12.25.
To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:
Variance of X-bar = (Population Variance) / (Sample Size)
In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.
Since we are sampling with a batch size of 16, the sample size is also 16.
Now we can substitute these values into the formula:
Variance of X-bar = 196 / 16 = 12.25
Therefore, the variance of X-bar is 12.25.
It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.
As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.
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Which system of inequalities with a solution point is
represented by the graph?
Oy> 2x – 2 and y < - 2x - 1; (3, 1)
O y> 2x – 2 and y < - 2x +1;(-3,1)
Oy> 2x+2 and y < - 2x - 1; (3, 1)
O y> 2x+2 and y < - 2x+1;(-3, 1)
Answer: answer is D
Step-by-step explanation:
i just took the quiz
Answer:
The answer is D :)
I got y’all homies
please help me with this problem
1. The unknown in the 'x- mean' column are 2 and -8
2. The unknown in the '(x-mean)²' square column is
25 and 106
What is Frequency table?A frequency table is simply a “t-chart” or two-column table which outlines the various possible outcomes and the associated frequencies observed in a sample.
A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
1. X - mean = 13 - 11 =2
X - mean = 3 -11 = -8
2. (X - mean)² = 5²
= 25
The total value of (x-mean)²
= 9+ 4+25+4+4+64
= 13 +25 + 8 +64
= 106
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7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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Helppppp pleaseeeeee
Answer:Godo luck!
Step-by-step explanation:
What is the midpoint of the segment with two endpoints (4,-6) and (-2,-3)? Put your answers in decimal from, if applicable.
what is the area of the shaded area. Round to the nearest whole unit.
please help!!!
Answer:
69.53 or 70(depending on rounding)
Step-by-step explanation:
The squares area is (9*2)^2 which is 324.
The circles area is 9^2 pi or 254.47 approx.
Subtract and you get 69.53 or 70
-3x^2+33=48x complete the square
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
Completing the square:
To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.
In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.
Here we have
- 3x² + 33 = 48x
Keep 'x' terms on one side and constant terms sides on another side
=> - 3x² - 48x = - 33
Divide by - 3 on both sides
=> -3(x² + 4x)/3 = - 33/3
=> x² + 16x = 11
Take half of the 'x' term and square it and add on both sides
=> x² + 2(8x) (x) + (8)² = 11 + (8)²
Which is in the form of x² + 2bx + b² = (x + b)²
=> [x + 8]² = 75
Therefore,
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
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f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Given:
The functions are
\(f(x)=-5x^2+4x-9\)
\(g(x)=8x^2-3x-4\)
To find:
The value of (f+g)(x).
Solution:
We know that,
\((f+g)(x)=f(x)+g(x)\)
Putting the given functions, we get
\((f+g)(x)=-5x^2+4x-9+8x^2-3x-4\)
On combining like terms, we get
\((f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)\)
\((f+g)(x)=3x^2+x-13\)
Therefore, the required function is \((f+g)(x)=3x^2+x-13\).
following quadratic equation, find the
5 x²+60 x+187=7
(x + 6) is the solution for the quadratic equation 5x² + 60x + 187 = 7
Given,
The quadratic equation;
5x² + 60x + 187 = 7
Arrange this in standard form;
5x² + 60x + 187 - 7 = 0
5x² + 60x + 180 = 0
We have to find the solution for this quadratic equation;
Quadratic formula ;
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\)
Here,
a = 5
b = 60
c = 180
Now,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-60(+-)\sqrt{60^{2}-4*5*180 } }{2*5}\) = \(\frac{-60(+-)\sqrt{3600-3600} }{10}\) = -60±0 / 10 = -60/10 = -6 = (x + 6)
That is,
The solution for the quadratic equation 5x² + 60x + 187 = 7 is (x + 6)
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Find the compound interest and the amount after twelve seconds if the
interest is compounded every three seconds.
Principal = 20,000
Rate of interest = 800%
Total amount =
Compound interest =
Results:
Compound Interest (CI) = 27,280
Total Amount = 47,280
How do we calculate Compound Interest?We shall calculate Compound Interest using the formula:
Compound Interest: CI = P * \((1 + r/n)^{nt}\) - P
Where:
P = Principal amount
r = Rate of interest (in decimal)
n = The compounding periods in a year
t = Time (in years)
Given:
Principal (P) = 20,000
Rate of interest (R) = 800% = 8 (in decimal)
Time (t) = 12 seconds
Compounding frequency = every 3 seconds
We need to calculate the rate of interest in decimal and the number of compounding periods in a year.
Rate of interest (r) = R/100 = 8/100 = 0.08
Compounding frequency (n) = 1 / (compounding period in seconds) = 1 / 3 = 0.3333
CI = 20,000 * \((1 + 0.08/0.3333)^{0.3333*12}\) - 20,000
CI = 20,000 * \((1 + 0.24)^{3.9996}\) - 20,000
CI = 20,000 * \(1.24^{3.9996}\) - 20,000
CI = 20,000 * 2.364 - 20,000
CI = 47,280 - 20,000
CI = 27,280
So, the compound interest after twelve seconds = 27,280.
To calculate the total amount after 12 seconds, we can use the formula:
Total Amount = Principal + Compound Interest
Total Amount = 20,000 + 27,280
Total Amount = 47,280
Therefore, the total amount after 12 seconds = 47,280.
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how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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0 is greater than or equal to 0
A.) No solution
B.) all real numbers
The answer of the given question based on the inequality is option B) all real numbers.
What are Real numbers?A real numbers are set of numbers that include all rational and irrational numbers, which can be expressed as decimal expansions that go on forever without repeating. The set of real numbers is denoted by symbol ℝ and includes numbers such as 1, 2, 3, -4, -5/6, π, √2, and e.
B.) all real numbers
A statement "0 is greater than or equal to 0" is always true, regardless of value of variable or any other conditions. This is because any number is always equal to the itself, and 0 is no exception. Therefore, solution to this inequality is all the real numbers.
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the sum of 88 elephants and x elephants is 145 elephants
Answer:
57 (if your solving for x)
Step-by-step explanation:
88 + x = 145
You subtract 88 from both sides
88 + x = 145
-88 -88
0 + x = 57
x = 57
Can anyone help? I’m stuck and I’ll give Brainly + 55 pts
QUESTION 1 : The pay for a mathematics major graduating from college is given by the formula P= 47, 100 + 2,550t where T represents years worked after college how many years would a mathematics major expect to work to be earning at least $95,000 per year? ROUND TO 1 DECIMAL PLEASE.
__________ years
QUESTION 2: The pay for a government major graduating from college is given the formula P = 43, 100 + 3, 150t. If a mathematics major and a government major graduate and start working at the same time how many years will it take for the government major to earn at least the same amount as a mathematics major? ROUND TO 1 DECIMAL PLEASE.
At least_________ years
Step-by-step explanation:
1) P = 47,100 + 2,550t
Given P = 95000
So,
95000 = 47100 + 2550t
Subtract 47100 from both sides,
95000 - 47100 = 2550t
47900 = 2550t
Divide by 2550,
t = 47900/2550 = 18.78 = 18.8 years
2) Given P = 43,100 + 3,150t
Both P must be equal.
47100+2550t = 43100+3150t
Subtract 43100 and 2550t from sides,
47100- 43100 = 3150t - 2550t
4000 = 600t
Divide by 600,
t = 4000/600 = 6.67 = 6.7 years
A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)
centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the
perimeter, in centimeters, of the triangle?
Answer: 9.3d−g-10.4f
Step-by-step explanation:
Jasmine invests $2,658 in a retirement account with an annual interest rate of 9%
compounded continuously. What will the account balance be after 15 years?
Maria invests $6,154 in a savings account with an annual interest rate of 8% compounded
continuously. What will the account balance be after 10 years?
If $17,000 is invested at a rate of 6.25% per year for 39 years, find the value of the
investment to the nearest penny if the interest is compounded continuously.
If $20,000 is invested at a rate of 6.5% per year compounded continuously, find the value
of the investment at each given time and round to the nearest cent.
(a) 8 months (b) 18 months (c) 21 years (d) 100 years
Joe invests $10,000 in an account that earns 12.3% interest annually. What is the balance
of the account after 8 years?
If principal is $2,658 and rate of interest 9% then the value of the account balance is approximately $10,253 by using continuous compound interest formula.
What is the Continuous Compound Interest ?Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.
The formula for continuous compound interest :
A= Peˣⁿ
Where,
A =Amount of money after a certain amount of time
P= principal or the amount of money you start with
e =Napier's number, which is approximately 2.7183
x =Interest rate
n =Amount of time in years.
Use the continuous compound interest formula :
Given P= 2658
x =9% = = 0.09
n = 15
e = 2.7183
By using
A= Peˣⁿ
A= (2658)(2.7183)⁰°⁰⁹¹⁵
A =10,253 (approximately)
Hence, the value of account balance after 15 years is approximately $10,253
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in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference. True or False ?
As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.
Confidence interval,
in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.
Given,
in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.
Here we need to find the given statement is true or false.
While we looking into the given question, we have identified that the value of
Confidence interval = 95%
Sample size = 20
Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).
Therefore, the statement is in correct.
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For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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You deposit $3000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years?
The amount you will have in the account in 30 years is $22836.77
How much will you have in the account in 30 years?From the question, we have the following parameters that can be used in our computation:
You deposit $3000 each year 7% interest compounded annually.Using the above as a guide, we have the following:
Amount = P * (1 + r)^t
Where
P = Principal = 3000
r = Rate = 7%
t = time = 30
Substitute the known values in the above equation, so, we have the following representation
Amount = 3000 * (1 + 7%)^30
Evaluate
Amount = 22836.77
Hence, the amount is 22836.77
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I need help urgently on this problem, please and thank you
The inverse of function f is \(f^{-1}(x)=\frac{4}{x}-3\).
The domain of f is (-∞, -3) U (-3, ∞).
The range of f = (-∞, 0) U (0, ∞)
The domain of f⁻¹ = (-∞, 0) U (0, ∞).
The range of f⁻¹ = (-∞, -3) U (-3, ∞).
How to determine an inverse function?In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value or domain) and dependent value (y-value or range) as follows;
f(x) = y = 4/(3 + x)
x = 4/(3 + y)
3 + y = 4/x
f⁻¹(x) = 4/x - 3
\(f^{-1}(x)=\frac{4}{x}-3\)
By critically observing the graph of this rational expression (function) and its inverse shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain of f = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
Range of f = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Domain of f⁻¹(x) = (-∞, 0) U (0, ∞); {y|y ≠ 0}.
Range of f⁻¹(x) = (-∞, -3) U (-3, ∞); {x|x ≠ -3}.
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Part A (4 pt): Fill in the missing steps to solve the
Inequality. x+2 +428
-4-4
1/4
1 x+2
-2
2 ≤
1
-X <
- 2
(0) --
x ≤
-X <
√x+2 2.
- 2
1x ≥ 2
=
>
-2
(0) ²½ × ≥ ²
> 2
x 2
Part B (2 pt): Draw the solution to the equation
on the number line provided. (Remember to
include your open/closed dots)
++++
-24-20-16-12 -8 -4
0 4
+
8 12 16 20 24
The answers are:
Part A: The two values of x are: x > 8 or x < -24
Part B: Closed circles at -24 as well as 8 on the number line.
How to solve inequalities?Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.
The following steps are missing for the inequalities:
Solving the inequalities,
Part A:
|1/4x+2|+4 >= 8
|1/4x+2|>=4
Now when we remove the sign fom the inequality, there would be 2 values:
(1/4) x + 2 > 4 or (1/4) x + 2 < -4
Now subtracting 2 from both side:
\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)
Divide both the sides by 4:
4(1/4) x > 4(2) or 4(1/4) x < 4(-6)
Now we get two values of x:
x > 8 or x < -24
Part B:
Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.
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What is 5 x 2 3/10 as a mixed number in the simplest form
?
Answer:
11 1/2Step-by-step explanation:
5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2\(\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ \)
At which root does the graph of f(x) = (x- 5)^3(x+ 2)^2
touch the x-axis?
Answer:
-2
Step-by-step explanation:
if x=- 2 then f(x)=(-2-5)3(-2+2)=0
so x=-2 is correct
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
Ben bought a house for $102,850 and received a rebate of 15% off. He paid 6% in sales tax. How much did he save?
The required money saved is $9,256 after 6% sales tax.
Given that,
Ben bought a house for $102,850 and received a rebate of 15% off. He paid 6% in sales tax, how much did he save is to be determined.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
rebate amount = 105850 × 0.15 = $15,877
sale tax = 105850 × 0.06 = $6171
Money saved = 15, 877 - 6171 = $9,256
Thus, the required money saved is $9,256 after 6% sales tax.
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what number should be placed in the Box to complete the division calculation
Answer:
Umm !! it's 260
Step-by-step explanation:
Hope I'm right ?!!!!?!??