(-4k - 1) - (-6k - 6)
Answer:
2k + 5
Step-by-step explanation:
Since this is a subtraction problem, you need to change it to an addition problem. When you do this, you also need to change the sign of each term in the second set of parentheses.
(-4k - 1) - (-6k - 6)
(-4k - 1) + (6k + 6)
Remove the parentheses and add like terms.
-4k - 1 + 6k + 6
2k +5
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for
the computer?
Answers choices are
A.$40.50
B.$715.50
C. $6.00
D.634.50
Answer:
uhhhh D?
Step-by-step explanation:
book i, problem 27. find two numbers such that their sum and product are given numbers; say their sum is 20 and their product is 96. [hint: call the numbers 10 c x and 10 x. then one condition is already satis e d.]
Two numbers that satisfy the conditions of having a sum of 20 and a product of 96 are 8 and 12. This can be answered by the quadratic equation.
Let's call the two numbers we're looking for "x" and "y". We know from the problem that:
x + y = 20
xy = 96
We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y:
y = 20 - x
We can substitute this expression for y into the second equation:
x(20 - x) = 96
Expanding the left side, we get:
20x - x^2 = 96
Rearranging terms:
x^2 - 20x + 96 = 0
This is a quadratic equation that we can solve using the quadratic formula:
x = (20 ± sqrt(20^2 - 4(1)(96))) / (2(1))
x = (20 ± 4) / 2
So we have two possible solutions:
x = 12 or x = 8
If x = 12, then y = 8 (from the equation y = 20 - x). We can check that these values satisfy both conditions:
12 + 8 = 20
12 * 8 = 96
Therefore, the two numbers that satisfy the conditions are 8 and 12
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i'm kinda confused in this question, please help me.
Answer:
there you go
Step-by-step explanation:
angle DOB is 60 degree.
Answer:
see explanation
Step-by-step explanation:
Given ∠ DOC = 90° then
∠ DOB = 90 - p and
Since AOB is a straight angle , then
4p + 90 - p = 180
3p + 90 = 180 ( subtract 90 from both sides )
3p = 90 ( divide both sides by 3 )
p = 30
4p = 4 × 30 = 120
Then
∠ DOB = 180° - 4p = 180° - 120° = 60°
What is the solution to 6(5x−2)=−72?
Answer:
nope its -60
Step-by-step explanation:
5x-2 is -10
6x-10 is -60
Answer:
X=-2
Step-by-step explanation:
Distribute: 6(5x-2) is now 30x-12=-72
Add 12 to both sides equals 30x-60
divide 30 from both sides -60/30=-2
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Solve these please and explain how you get it i’ll give you 35 points!
Answer:
hi, first question's answer B.
because if you want to draw a triangle, there is have to be some rules. like can you draw a triangle 2,2,20? that could be impossible because all the edges have to intersect. think a triangle and it has 3 edges. they are A,B,C
if you wanna write random numbers, you have to do this.
A+B>C>|A-B|
A+C>B>|A-C|
C+B>A>|C-B|
soo, 7+11= 18 and 11-7=4
second question's answer is this:
60+x+32+90=180(if you wonder where is the 90 came from, the triangle's one side has square. that mean its 90°.
182+x=180
x=-2
if you have questions about these questions, you can ask me.
good luck(:
The value of ( sqrt 5 + sqrt 2 )( sqrt 5 - sqrt 2 )is: (a) 10 (b) 7 (c) 3 (d) sqrt(3
Answer:
C) 3
Step-by-step explanation:
This is just a differences of squares:
\((a+b)(a-b)=(a^2-b^2)\\\\(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})=(\sqrt{5}^2-\sqrt{2}^2)=5-2=3\)
Answer:
(c) 3
Step-by-step explanation:
\((\sqrt{5} +\sqrt{2} )(\sqrt{5} -\sqrt{2} )=(\sqrt{5} )^{2} -(\sqrt{2} )^{2} =5-2=3\)
Hope this helps
Do x and y show direct variation?
Are x and y in a proportional relationship?
Is the graph of the relationship a line?
Does y vary directly with x ?
y
x
2
Ź3
Ź2
3
1
Ź3 Ź2 1 2 3
The relationship on the table is not proportional
x and y do not show direct variationThe graph is not a lineThe variable y does not vary directly with xHow to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
How to determine if the relationship represents a direct variationIn (a), we have
The relationship is not a proportional relationship
This means that the relationship does not represent a direct variation
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Complete question
Do x and y show direct variation?
Are x and y in a proportional relationship?
Is the graph of the relationship a line?
Does y vary directly with x ?
x y
____ ____
6 -2
7 -1
8 0
9 1
1/3 x 3/5 x 2 1/4
.....................................
Answer:
\(\frac{9}{20}\)
Step-by-step explanation:
See picture below :)
Makenna tried to reduce the following expression to lowest terms:
5
— 20
x² - 6x +8
This is her work:
Factoring the numerator: 5x - 20 = 5(x-4)
Factoring the denominator: x² - 6x +8=(x-4)(x - 2)
Reducing to lowest terms:
5 — 20
x² - 6x+8
5(x-4)
(x4)(x-2)
The answer is 5/x-2
How to solve thisFactor the expression: \(\frac{5(x-4)}{x^2 - 6x + 8}\)
Rewrite the term: \(x^2 - 4x -2x + 8\)
Regroup terms into two proportional parts :\((x^2-4x) + (-2x + 8)\)
Factor the expression: x(x-4) (x-2)
Reduce the fraction:: 5/x-2
The answer is 5/x-2
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Perform the following
mathematical operation and
report
the answer to the
appropriate number of
significant figures.
7.273
- 12.4
-5.127 > [?]
Step-by-step explanation:
\(67.4+43.2+27.3=137.9\), which is 138 to 3 sf.
Here's a fun question:
Pewdiepie has 4 heart attacks from G-fuel in October and 6 heart attacks from G-fuel in November. How many heart attacks did Pewdiepie have in total?
Answer:
10. I feel bad for him.
Step-by-step explanation:
If you were to hypothesize that communication students will have a higher average score on the oral communication measures, you would have a ______.
If I were to hypothesize that communication students will have a higher average score on the oral communication measures,
I would have a research hypothesis. A research hypothesis is a statement that is used to explain a relationship between two or more variables,
in this case, the relationship between being a communication student and having a higher score on oral communication measures.
The hypothesis can then be tested through research and analysis of data to determine if there is a significant correlation between the two variables. In order to fully test this hypothesis,
it would be necessary to gather data on both communication students and non-communication students and compare their scores on oral communication measures.
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just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1000 1000 people to 4000 people. 4000 people. does the larger random sample reduce the bias and the variability of the poll result?
Although a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.
A nationwide opinion poll's results are often less variable as the random sample size is increased since the bigger sample size more accurately represents the people being sampled.
It does not necessarily lessen bias, which is the term for systemic mistakes in the sampling process or polling methodology that may endure even with a larger sample size.
The accuracy of the poll's results can be improved by reducing random mistakes like sampling and measurement errors with a bigger sample size.
The standard error of the mean, a measurement of the variability of the sample mean from sample to sample, is often less the bigger the sample size.
A national opinion poll's measure of interest, the population mean, can be more accurately estimated with a smaller standard error.
If the sample is not completely random or representative of the population being investigated, bias may still exist in a bigger sample.
For instance, the findings may be biassed if the pollsters oversample a certain demographic group or geographic area.
Non-response bias can also happen if a certain group of people is less likely than others to reply to the survey.
As a result, while a bigger random sample can aid in increasing the precision and decreasing the variability of a national opinion poll, it cannot ensure a decrease in bias, which is dependent on the efficacy of the sampling technique and the sample's representativeness.
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62.4% of what number is 17.16?
What percent of 51 is 127.5?
(Those are two questions but like on the same thing )
Answer:
first: 27.5
second: 250%
Step-by-step explanation:
first: 17.16 ÷ 62.4% = 0.275, 27.5
second: 51 ÷ 127.5 = 0.4, 40%,
100% ÷ 40%, = 2.5, 250%
Answer the following questions. I am not looking for mathematical answers; I want you to reason through the questions and use your intuition to answer them. (a) (10 points) What are the differences between the Baumol-Tobin and Money in the Utility Function models of money demand? (b) (10 points) Why did Milton Friedman argue for a 0\% nominal interest rate? (c) (10 points) True/False/Uncertain (and explain why): Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. (d) (10 points) True/False/Uncertain (and explain why): If the central bank buys $10 million worth of securities, then the money supply will increase by exactly $10 million. (e) (10 points) True/False/Uncertain (and explain why): The Taylor Rule is used as a "rule of thumb" rather than an explicit rule in central banking.
a) Baumol-Tobin model of money demand is based on the transaction costs. b)Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest. c)True. Wage growth resulting from an increase in expected inflation is a sign. d)Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy
a) Baumol-Tobin model of money demand is based on the transaction costs of converting non-monetary assets into money and vice versa.
Whereas, the Money in the Utility Function model of money demand is based on the utility of holding money as a store of value and the opportunity cost of holding non-monetary assets.
b) Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest rate should reflect the real rate of return and expected inflation, and a 0% nominal interest rate would help stabilize the economy by reducing fluctuations in the nominal interest rate.
c) True. Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. An increase in expected inflation can lead to an increase in nominal wages, but this increase in nominal wages does not cause inflation. Instead, inflation is caused by an increase in the money supply.
d) Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. This is because the central bank may purchase securities from a bank that already has excess reserves, which would not increase the money supply.
e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy interest rate based on the output gap and inflation deviation from target.
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a sample of 250 rdns was randomly selected from a list of all rdns in the state of california for a california policy study. which sampling method was used?
If a sample of 250 RDNS was randomly selected from a list of all RDNS in the state of California for a California policy study, then the sampling method was simple random sample
Here a sample of 250 RDNS was randomly selected from a list of all RDNS.
Sampling is defined as the selecting the individual members or the group that you will actually collect data from in your research. There are five types of sampling method. They are Random, Systematic, Convenience, Cluster, and Stratified.
In the simple random sampling the researchers select the random samples from the population. Here a sample of 250 RDNS was randomly selected from a list of all RDNS.
Therefore, the sampling method that used is simple random sample
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I need help with this question please and thank you
The type of transformation and scale factor as required are;
16) Rotation
17) Reflection
18) Dilation
19) n = 5
20)P = r = 4
What is the type of transformation?There are different types of transformation as follows;
1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance
2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.
3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.
4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.
16) This transformation is rotation based on the definitions above.
17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.
18) This called dilation as the scale factor was adjusted to produce the new image.
19) Scale Factor = 6/3 = 2
Thus;
n = 10/2 = 5
20) Scale factor = 12/9 = 4/3
Thus;
P = r = 3 * 4/3
= 4
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I am starting to get this but, each question is a different subject so plz help asap. Btw these are not test or quiz questions. They are just practice questions so I know how to do it before a test or quiz.
Answer:
73 degrees
Step-by-step explanation:
Given
A Shaped Frame of two congruent sides
Required
Determine the angle made with the ground
Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;
Let the two angles made with the ground be represented by x
Angles in a triangle when added equals 180;
Hence;
\(x + x + 34 = 180\)
\(2x + 34 = 180\)
Subtract 34 from both sides
\(2x + 34 - 34 = 180 - 34\)
\(2x = 180 - 34\)
\(2x = 146\)
Divide both sides by 2
\(\frac{2x}{2} = \frac{146}{2}\)
\(x = \frac{146}{2}\)
\(x = 73\)
Hence, the angle with the ground is 73 degrees
Factor 28xy + 25 + 35x + 20y
HOPE THIS HELPS YOU...
Given:point E is between points G and T, GE = 2x, ET = 3x - 1, and GT = 14. Find x
Answer: x=5
Step-by-step explanation: Umm... I just solved it... yea...
Find the surface area of the square pyramid. Next, find the area of the square base. Area of the 4 triangles: 280 cm² Area of the square: [?] cm² 10 cm 14 cm 10 cm
Answer:
Area of the square base = 100cm²
Surface area of square pyramid= 380cm²
Step-by-step explanation:
Area of the square base= L × L
= 10cm × 10cm
= 100cm²
The surface area of square pyramid= Area of the base + Area of the triangles forming the pyramid.
= 100cm² + 280cm²
determine whether rolle's theorem can be applied to f on the closed interval [a, b]. (select all that apply.) f(x) = x2/3 − 1, [−8, 8]Yes, Rolle's Theorem can be applied.No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No, because f(a) ≠ f(b).If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0.(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)c =
The Rolle's Theorem cannot be applied to function f on the closed interval [a, b].
What is Rolle's Theorem?
In calculus, Rolle's theorem or Rolle's lemma basically asserts that any real-valued differentiable function that reaches equal values at two different places must have at least one stationary point between them—that is, a position where the first derivative is zero.
As given function is,
f(x) = x^(2/3) - 1
This is basically a cube root of x² in first term.
So, it is continuous for negative numbers even.
So, first condition that is Continuous over [-8, 8] satisfied.
Now differentiate function as follows:
f(x) = x^(2/3) - 1
f'(x) = 2/3 x^(-1/3)
f'(x) = 2/{3x^(1/3)}
Clearly this function is not differentiable at x = 0.
And x = 0 belons to [-8, 8].
So, second condition namely
Differentiable in [-8, 8] does not check out.
Therefore, Rolle's Theorem cannot be applied.
No, because function is not differentiable in the open interval (a, b).
Since Rolle's Theorem cannot be applied, for the value of c.
The Rolle's Theorem cannot be applied to function f on the closed interval [a, b].
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The following are weights in pounds of a college sports team:
165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240
a. The mean is: _________________
b. The sample standard deviation is: _______________
c. The first quartile is: _____________
d. The median is: ______________
e. The third quartile is: ______________
Answer:
Step-by-step explanation:
a-6
b-165-240
c-165
d-182 and 152
e-174
what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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PLEASE HELP ME ASAP 20 POINTS SHOW WORK
Answer:
i got it wrong i don't want to give the wrong answer
question 4
smaller answer is -9
larger answer is 2
Step-by-step explanation:
i did the test
Step-by-step explanation:
1) NA-NA
2) x = 9, - 2
sent photo of second question.
read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
how to multiply fractions with the same denominator
when multiplying fractions , multiply across the numerator and denominator
you dont need common denominators
example
\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)
Hope this helps : -)
- Jeron