12. Which is the simplified expression of -8(2m + 9k-13)?
-16m+9k-13
A.-16m +9k - 13
B. -16m - 72k + 104
C. -16m-72k - 104
D. 16m - 72k - 104
Answers
-16m - 72k + 104 is the simplified expression .
What does a math expression mean?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)Expression can be a commonly used word or phrase or a means of expressing your ideas, emotions, or sentiments. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.the simplified expression of -8(2m + 9k-13)
= -8(2m + 9k-13)
= -16m - 72k + 104
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Related Questions
Select the correct answer. andrew has a four-year college loan for $20,000. the lender charges a simple interest rate of 5 percent. how much interest will he have to pay? simple interest = p × r × t a. $800 b. $4,000 c. $10,000
Answers
Andrew has to pay his school loan debt of $4,000
How to determine school loan interest?The interest rate on the loan is 5 percent.
So, \(\frac{5}{100}\) ($20,000)
= $1.000
The loan term is 4 years.
So, (4) ($ 1.000) = $4.000
There are several options for this question:
Option a .$800. This choice is not appropriate because it does not match the amount of interest on the loan that must be paid by Andrew.Option B. $4,000. This choice is right because it is in accordance with the amount of loan interest that must be paid by Andrew.Option C. $10,000. This choice is not appropriate because it does not match the amount of interest on the loan that must be paid by Andrew.Learn more about percent here: https://brainly.com/question/29056916
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Match each angle in Column I with its reference angle in Column II. 30° 40 89 60° 89 60 40 60° 30° 31° 45° 45° Drag each reference angle above to the corresponding angle below. Answers may be u
Answers
The answer is as follows: 30° is matched with 60°40° is matched with 50°60° is matched with 30°89° is matched with 1°31° is matched with 59°45° is matched with 45°.
Here is the solution for the given problem. Match each angle in Column I with its reference angle in Column II.30°40°60°89°31°45° Reference angles are angles between the terminal side of an angle in standard position and the x-axis. Here are the reference angles of the given angles in Column I.30° corresponds to 60°40° corresponds to 50°60° corresponds to 30°89° corresponds to 1°31° corresponds to 59°45° corresponds to 45°.
Therefore, the answer is as follows: 30° is matched with 60°40° is matched with 50°60° is matched with 30°89° is matched with 1°31° is matched with 59°45° is matched with 45°.
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Marie can make \frac{1}{8} 8 1 quart of orange juice in \frac{3}{4} 4 3 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Answers
Answer:
\(\frac{1}{6}\ juice\)
Step-by-step explanation:
The computation is shown below:
Since \(\frac{1}{8}\) quart of juice would be make in \(\frac{3}{4}\) minutes
So for one minute, the juice would be make
\(\frac{4}{3}\times \frac{3}{4} \ minute= \frac{4}{3} \times \frac{1}{8} \ juice\\\\1\ minute= \frac{1}{6}\ juice\)
hence, the same would be considered and relevant too
For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
Answers
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
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In 2000, the median home price in a certain city was about $, and from 2000 to 2006, home prices in this city rose at an average rate of about % per year. If prices had continued to rise at that rate, what would the median home price have been in ? Compare to the actual median price of about $400,000 in .
Answers
Answer:
(a) The median home price would have been approximately $1,716,921.02 in 2018 using 10.6% growth.
(b) The actual median home price is far less than the median home price calculated using 10% growth rate by $1,316,921.02.
Step-by-step explanation:
Note: This question is not complete as some data are omitted. The complete question is therefore given before answering the question as follows:
In 2000, the median home price in a certain city was about $280,000, and from 2000 to 2006, home prices in this city rose at an average rate of about 10.6% per year. If prices had continued to rise at that rate, what would the median home price have been in 2018? Compare to the actual median price of about $400,000 in 2018.
The explanation to the answer is now provided as follows:
(a) If prices had continued to rise at that rate, what would the median home price have been in 2018?
Note: See the attached excel file for the computation of the what would the median home price have been in 2018.
The following are given in the question:
Median home price in 2018 = $280,000
Annual growth rate = 10.6%
Therefore, the median home price would have been approximately $1,716,921.02 in 2018 using 10.6% growth.
(b) Compare to the actual median price of about $400,000 in 2018.
Amount the median price would have been = $1,716,921.02
Actual median price = $400,000
Difference = Amount the median price would have been - Actual median price = $1,716,921.02 - $400,000 = $1,316,921.02
Therefore, the actual median home price is far less than the median home price calculated using 10% growth rate by $1,316,921.02.
Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
Answers
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
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Find the vector equation of the line
y=6x−4
.
Correct answer selected
r(t)=(6+26t,32+156t)
r(t)=(6−26t,32+156t)
r(t)=(32+26t,6+156t)
r(t)=(6+156t,6+26t)
Answers
I hope someone seriously helps him :(
Step-by-step explanation:
sorry I couldn't help ya
‐(5k – 3) ≤ 15 + 3k :) pls help
Answers
Answer:
k≥-1.5
Step-by-step explanation:
-(5k-3) ≤ 15 + 3k
-5k+3 ≤15 +3k
+5k +5k
3≤15+8k
-15 -15
-12 ≤ 8k
divide both sides by 8
-1.5 ≤ k
or k≥-1.5
Hope this Helps!!!
Answer:
Fraction Form:
\(k=-\frac{3}{2}\)
Decimal Form:
\(k=-1.5\)
Mixed Number Form:
\(k=-1\frac{1}{2}\)
Step-by-step explanation:
The image below shows step-by-step on how to solve for k.
Hope this helps! :)
How do you solve 4x^2 + 44x + 96 step by step?
Answers
Answer:
60x+96
Step-by-step explanation:
4x^2= 16x
16x+44x+96
60x+96
ur welcome lol
A longitudinal wave has 20 compressions and 20 rarefactions in 0.1s. Find its frequency.
Answers
The frequency of the longitudinal wave is 5/2 cm.
Given:
A longitudinal wave has 20 compressions and 20 rarefactions in 0.1s.
we are asked to determine the frequency of the wave = ?
1 wave ⇒ 1 compression + 1 rarefactions
therefore,
20 waves:
0.2 s ⇒ 20 waves.
1 & ⇒ 20/0.02 × 10/1
1 & ⇒ 200/2
1 & ⇒ 100 hz
20 > = 50 cm
⇒ 50/20
= 5/2 cm
Hence we get the frequency as 5/2 cm
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Simplify as far as possible
Please help
x²+3x²-4x²+5x
Answers
Answer:
I think 5x is the answer
stay safe
5x
how to write a cosine function with amplitude and period
Answers
To write a cosine function with amplitude and period, we can use the formula f(x) = A cos (2π / P) x, where A is the amplitude and P is the period.
To write a cosine function with amplitude and period, we can use the following formula:
f(x) = A cos (2π / P) x
where A is the amplitude and P is the period.
The amplitude of a cosine function is the distance from the center line to the maximum or minimum value of the function. It represents the maximum displacement of the function from its mean or average value. The period of a cosine function is the length of one complete cycle of the function. It represents the time it takes for the function to repeat itself.
For example, if we want to write a cosine function with an amplitude of 3 and a period of 4, we can use the formula:
f(x) = 3 cos (2π / 4) x
Simplifying this equation, we get:
f(x) = 3 cos (π / 2) x
The cosine of π/2 is equal to zero, so this equation simplifies further to:
f(x) = 0
This means that the function has a constant value of zero for all values of x.
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If y=32 when x=8, find y when x=30.
Answers
*How to solve*
Step 1: Find how many times larger 30 is than 8
30/8= 3.75
Step 2: Multiply by y
32x3.75=120
Hope this helps comment below for more questions:)
When n is divided by 3, the remainder is 1 What is the remainder when 2n is divided by 3
Answers
Answer:
Only n if 2n is/3 when 2nis divide by 3
Answer:3
Step-by-step explanation:
you could only divide 2n in 3 was there so it would be three
Use the Distributive Property to figure out (z-5)(z+3)
whats the answer
Answers
Using the distributive property, we can write (z-5)(z+3) is equal to \(z^2\) - 2z - 15.
Let us expand the expression (z-5)(z+3).
We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -
(z-5)(z+3) = z(z+3) - 5(z+3)
Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -
z(z+3) - 5(z+3) = \(z^2\) + 3z - 5z - 15
Combining the like terms, we get,
(z-5) (z+3) = \(z^2\) - 2z - 15
Therefore, (z-5)(z+3) is equal to \(z^2\) - 2z - 15.
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The Sea & Sun Souvenir Shop is known for its specialty salt water taffy. Every week, Allie fills a gigantic jar with taffy to put in the storefront display. This week, she puts in 400 pieces of cherry taffy but still has more space to fill. Allie fills the rest of the jar with banana taffy, her favorite flavor. In all, Allie puts 850 pieces of taffy in the jar. Which equation can you use to find how many pieces of banana taffy b are in the jar? Solve this equation for b to find how many pieces of banana taffy are in the jar. pieces
Answers
The Allie puts 450 pieces of banana taffy in the jar.
We are given that the Sea & Sun Souvenir Shop is known for its specialty saltwater taffy. Every week, Allie fills a gigantic jar with taffy to put in the storefront display.
This week, she puts in 400 pieces of cherry taffy but still has more space to fill. Allie fills the rest of the jar with banana taffy, her favorite flavor. In all, Allie puts 850 pieces of taffy in the jar.
We are required to find the number of pieces of banana taffy b are in the jar. Let's assume that Allie puts b pieces of banana taffy in the jar.
So, the total number of pieces of taffy Allie puts in the jar is the sum of the number of pieces of cherry taffy and the number of pieces of banana taffy she puts in the jar.
Now, the equation can be formed as:
400 + b = 850
On solving the above equation,
we get the value of b:400 + b = 850Subtract 400 from both sides,b = 850 - 400b = 450
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Which functions is nonlinear
Answers
Answer:
the 3rd one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Which of the following statement is INCORRECT? A large sample drawn from the population will guarantee accurate results. A sample is a subset drawn from a population of interest. A statistic is a number calculated based on a sample. A parameter is an unknown quantity about a population.
Answers
The incorrect statement is that a large sample drawn from the population will guarantee accurate results. So, correct answer is option (I).
Population: It Contains all elements of a dataset, and measurable properties of the population such as mean and standard deviation are called parameters. For example, "Everyone in India" refers to India's population.
Sample: It Contains one or more observations drawn from a population, the measurable property of the sample is a statistic. Sampling is the process of selecting samples from a population. For example, some people living in India are a sample of the population. A sample statistic (or just a statistic) is defined as any number calculated from sample data. Examples include sample mean, median, sample standard deviation, and percentile. From the above discussion it is clear that sample is subset of population set and statistic and poplution are related terms of sample and poplution respectively. So, all the statements are correct except statement (I).
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Complete question:
Which of the following statement is INCORRECT? I) A large sample drawn from the population will guarantee accurate results.
II) A sample is a subset drawn from a population of interest.
III) A statistic is a number calculated based on a sample.
IV) A parameter is an unknown quantity about a population.
Please help me with this question I don’t need an explanation either I will give brainliest
Answers
Answer:
(1) 25
Step-by-step explanation:
a1 => 121 =11²
10
9
a3=>64= 8²
7
6
a5=>25= 5²
A building in a city has a rectangular base. The length of the base measures 75 ft less than twice the width. The perimeter of this base is 840 ft. What are the dimensions of the base?
Answers
The dimensions of the base are 180 feet in length and 165 feet in width.
Let the width of the base be "x".The length of the base is 75 less than twice the width.The length of the base is 2x-75.The perimeter of the base is given to be 840 feet.The perimeter of a rectangular base is twice the sum of its length and its width.The perimeter of a rectangular base is 2\(\times\)[(2x-75) + x].840 = 2\(\times\)(3x-75)420 = 3x-753x = 495x = 165Thus, the width is 165 feet.The length is equal to 2(165-75) = 2\(\times\)90 = 180 feet.The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.
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Find the value of the expression 3x-5y when x=-2 and y=4
Answers
Answer:
- 26
Step-by-step explanation:
3x - 5y ( substitute x = - 2 and y = 4 into the expression )
= 3(- 2) - 5(4)
= - 6 - 20
= - 26
The worth of the direct articulation (3x - 5y) at x = - 2 and y = 4 will be negative 26.
What is the value of the expression?At the point when the important parts and essential cycles of a mathematical strategy are given qualities, the articulation's outcome is the consequence of the calculation it portrays.
The meaning of straightforwardness is simplifying something to accomplish or get a handle on while likewise making it somewhat less troublesome.
The expression is given below.
⇒ 3x - 5y
The value of the linear expression (3x - 5y) at x = -2 and y = 4 will be given as,
⇒ 3x - 5y
⇒ 3(-2) - 5(4)
⇒ -6 - 20
⇒ - 26
The value of the linear expression (3x - 5y) at x = -2 and y = 4 will be negative 26.
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Michael's bank account was -$15 dollars. His brother Eli gave him $25 dollars to put in his bank. How much money does Michael have in his bank now
Answers
Answer:
$10
Step-by-step explanation:
-$15+$25
then you get $10
Solve for x round to the nearest tenth pls help
Answers
sin 67 = x/29
29 sin 67 = x
x = 26.694640......
x = 26.7 (nearest tenth)
please help me work through this! I'm just a bit stuck and think help would make me better understand
Answers
Answer:
Given equation of motion of a particle is,
\(s(t)=4t^3+36t^2+96t\)To find the velocity function of t, value of t when the velocity is zero and acceleration of the particle.
Explanation:
we know that, velocity of a particle is rate of change of the object’s position with respect to a frame of reference and time.
we get,
\(v(t)=\frac{d}{dt}(s(t))\)Substitute for s(t), we get
\(v(t)=\frac{d}{dt}(4t^3+36t^2+96t)\)Differenting we get,
\(v(t)=12t^2+72t+96\)Required velocity function is,
\(v(t)=12t^2+72t+96\)when velocity equal to 0, we get
\(12t^2+72t+96=0\)Dividing by 12, we get
\(t^2+6t+8=0\)we get,
\(t^2+4t+2t+8=0\)\(t(t+4)+2(t+4)=0\)Taking (t+4) as common we get,
\((t+4)(t+2)=0\)we get,
\(t=-4,-2\)The values of t are,
t=-4 and t=-2
To find acceleration of a particle.
we know that,
Acceleration a(t) is the rate at which velocity (speed) is changing.
we get,
\(a(t)=\frac{d}{dt}(v(t))\)Substitute v(t), we get,
\(a(t)=\frac{d}{dt}(12t^2+72t+96)\)we get,
\(a(t)=24t+72\)The acceleration of a particle is,
\(a(t)=24t+72\)PLEASE HELP simplify (-2)(-3)^2-2(2-5)
Answers
Answer: -12
Step-by-step explanation: When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.
P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)
E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)
M- Multiplication
We can simply to.
-18+6
These simplifies into
-12
Answer:
-12
Step-by-step explanation:
-2*9-2(2-5) : Raise -3 to the power of 2
-18-2(2-5) : Multiply -2 by 9
-18-2*-3 : Subtract 5 from 2
-18+6 : Multiply -2 by -3
-12 : Add -18 and 6
find dy/dx of y=x^2 cos^4(x)
Answers
The derivative of y = x2 cos4(x) is calculated to be dy/dx = 2x * (-4cos3(x)sin(x)).
To find the derivative of y = x2 cos4(x), use the chain rule and the product rule. The chain rule states that the derivative of a composite function is the product of the derivatives of the inner and outer functions. The product rule states that the derivative of a product of two functions is the sum of the product of the derivative of the two functions.
Let's apply the chain rule first:
d/dx [x2 cos4(x)] = d/dx [x2] * d/dx [cos4(x)]
Now, using the product rule, the derivative of x2 is 2x and the derivative of cos4(x) is -4cos3(x)sin(x). So, the derivative of y is:
dy/dx = 2x * (-4cos3(x)sin(x))
Therefore, the derivative of y = x2 cos4(x) is
dy/dx = 2x * (-4cos3(x)sin(x)).
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In an AP, a1,a2,a3,.....an, where a1 represents first term and an represents nth term, what is the common difference d?
Answers
Answer:
a2 - a1
Step-by-step explanation:
Tn= a+(n-1)d
Tn = a1 (an -1) a2-a1
Write the definition of each word
Answers
1. An acute angle is οne that is less than 90 degrees.
What is an acute angle ?An angle smaller than the right angle is called an acute angle. In οther wοrds, the angle which is less than 90 degrees fοrms an acute angle. The pοlygοns such as triangle, parallelοgram, trapezοid, etc. cοnsist οf at least οne acute angle
2. Obtuse angle: A measurement οf an angle that is greater than 90 degrees but less than 180 degrees.
3. A right angle is οne that is exactly 90 degrees.
4. A straight angle is οne that is exactly 180 degrees in length.
5. Adjacent angles are twο angles that share a cοmmοn vertex and a cοmmοn side.
6. A pair οf nοn-adjacent angles fοrmed by the intersectiοn οf twο lines are knοwn as vertical angles. They are οf equal size.
7. Cοmplementary angles are defined as twο angles that add up tο 90 degrees.
8. Twο angles that add up tο 180 degrees are referred tο as supplementary angles.
9. Angles with the same measure are said tο be cοngruent.
10. A linear pair is twο adjacent angles that fοrm a straight line and add up tο 180 degrees.
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Can some help pleasee it is due tonight and it’s the only question I need,I also need to do ate by step if it’s not much to ask
Answers
Answer: -3/16
Step-by-step explanation:
When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...
-12(x^-2) (y^-2) can be rewritten as
-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4
-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16
-12 (1/4) (1/16)
-3 (1/16)
= -3/16
Given f(x)=(2x+1)^3. Find f^−1(x). (inverse)
Answers
Answer:
Step-by-step explanation:
\(f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}\)