The only thing you can do with this expression is to factor a 5 out of the two terms: we have
[tex]15n-20 = 5(3n-4)[/tex]
Answer:
5(3n-4)
Step-by-step explanation:
because(5*3n)-(5*4)=15n-20
Im stuck on this problem, can someone please help
Answer:
-8
Step-by-step explanation:
x = -2 is in the range -3 ≤ x ≤ -1, so the definition f(x) = 4x applies.
f(-2) = 4(-2) = -8
Answer:
-8
Step-by-step explanation:
The value of f(-2) is -8.
-2 if x < -3
f(x) - 4x if -3 < x < -1
x^2 if x> -1
Which of the following expenses is not a fixed cost?
a. equipment leases
b. packaging costs
c. insurance
d. salary
Answer:
b.
packaging costs
Step-by-step explanation:
Packaging costs are not fixed costs.
Option B is the correct answer.
What is fixed cost?Fixed costs are expenses that do not vary with changes in the volume of goods or services produced.
They are typically time-related and can be considered "fixed" in the short term.
We have,
(a) Equipment leases are usually fixed costs because they involve a set monthly or annual payment regardless of how much the equipment is used.
(c) Insurance can also be considered a fixed cost because the premium is usually paid regularly, such as monthly or annually, and does not change based on the number of claims made.
(d) Salaries are typically considered fixed costs because they are paid regularly and do not change based on the amount of work done or sales made.
However,
(b) packaging costs are typically variable costs because they are directly related to the number of products produced.
The more products produced, the more packaging materials are needed, resulting in higher packaging costs.
Thus,
Packaging costs are not fixed costs.
Learn more about fixed costs here:
https://brainly.com/question/30011394
#SPJ7
What is the value of e in 7x
Answer:
7x
Step-by-step explanation:
This illustrates the meaning of a logarithm.
The natural log of 7x is the power to which e must be raised to give 7x. When you raise e to that power, you get 7x.
Find the volume of the cylinder.
Answer:
502.7
Step-by-step explanation:
I'm not sure on this! but this is what I think its supposed to be, I'm sorry if that's wrong
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 57.9% of their carbon-14. How old were the bones at the time they were discovered?
The mastodon bones are approximately 6764 years old, determined by calculating carbon-14 decay, with 42.1% of the original carbon-14 remaining after losing 57.9%, and using the known half-life of 5750 years.
Explanation:The procedure to determine the age of the mastodon bones involves the principle of radioactive decay, specifically using carbon dating. Carbon-14, a radioactive isotope of carbon with a half-life of 5750 years, is used to date materials that were once part of a living organism.
Since the mastodon bones have lost 57.9% of their original Carbon-14, less than one half-life has passed. By using the exponential decay formula, we find that the remaining amount of Carbon-14 is 100% - 57.9% = 42.1%. One half-life (5750 years) would result in 50% remaining, and since 42.1% is a bit less than 50%, we need to determine how much less in terms of time. The calculation requires solving the following equation: N/N_0 = (1/2)^(t/T), where N is the remaining amount of Carbon-14, N_0 is the original amount, t is the time passed, and T is the half-life of Carbon-14.
To solve for t, we rearrange the equation to t = T * (log(N/N_0) / log(1/2)). Substituting the known values (T = 5750, N/N_0 = 0.421), we can calculate the time t that has passed since the death of the mastodon. When we perform this calculation, we find the bones to be slightly older than one half-life, equating to approximately 6764 years old.
Two rectangular prisms have the same volume. The area of the base of the blue prism is 4 1/8 square units. The area of the base of the red prism is one-half that of the blue prism. Which statement is true?
Answer:
The height of the red prism must be twice the height of the blue prism
Step-by-step explanation:
The height of the red prism must be twice the height of the blue prism.
Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.Volume of a prism can be calculated as the area of the base multiplied by the height.
V= b*h....
Suppose we want a 90% confidence interval for the average amount spent on entertainment (movies, concerts, dates, etc.) by freshman in their first semester at a large university. The interval is to have a maximum bound on the error (or simply margin of error) of $2, and the amount spent has a normal distribution with a known standard deviation $30. The number of observations required is at least
Answer:
609
Step-by-step explanation:
Standard deviation = [tex]\sigma[/tex] = $30
Margin of error = E = $2
Confidence level = 90%
Since the distribution is said to be normal, we will use z scores to solve this problem.
The z score for 90% confidence level = z = 1.645
Sample size= n = ?
The formula to calculate the margin of error is:
[tex]E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=z\frac{\sigma}{E}\\\\n=(\frac{z\sigma}{E} )^{2}[/tex]
Using the values in above equation, we get:
[tex]n=(\frac{1.645 \times 30}{2} )^{2}\\\\ n = 608.9[/tex]
This means, the minimum number of observations required is 609
If a point is on the perpendicular bisector of a segment then it is
Answer:
im not sure I understand the question.
Step-by-step explanation:
Answer:
equidistant from the endpoints of the segment.
Step-by-step explanation:
Richard ordered a coffee table that was a regular pentagon. Find the measure of an exterior angle of the table.
(JUSTIFY)
Answer:
72
Step-by-step explanation:
If you find an interior angle, its supplement will be the exterior angle. That's one way to do the problem.
Another is to take 360 and divide it by the number of sides. That is the easier way to do it.
Exterior angle = 360 / divided by the number of sides
Exterior angle = 360 /5
Exterior angle = 72
---------------
The other way is done by
(n - 2) * 180 = 540
That's the total number of degrees in the interior of the pentagon.
1 interior angle = 540 / 5 = 108
The supplement of this angle is 180 - 108 = 72
Same answer 2 different ways.
Use the TVM Solver to calculate the amount you should make in monthly payments into an investment account if you want to have $1,000,000 in 60 years. The account pays 3.9% interest compunded monthly and you will make an intial investment of $25,000
Answer:
$257.95
Step-by-step explanation:
We have assumed the payment is made at the end of each month, and the last payment will bring the balance to $1 million.
1) Suppose a rhombus has 12 cm sides and a 30° angle. Find the distance between the pair of opposite sides.
2) In rectangle KLMN, the angle bisector of ∠NKM intersects the longer side at point P. The measure of ∠KML is equal to 54°. Find the measure of ∠KPM.
Answer:
1) 6 cm
2) 117°
Step-by-step explanation:
1) Draw a picture of the rhombus. The distance between opposite sides is the height of the rhombus. If we draw the height at the vertex, we get a right triangle. Using trigonometry:
sin 30° = h / 12
h = 12 sin 30°
h = 6 cm
2) Draw a picture of the rectangle.
∠KML is the angle the diagonal makes with the shorter side ML. This angle is 54°. ∠NKM is the angle the diagonal makes with the shorter side NK. ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.
The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P. So m∠PKM = 27°.
KLMN is a rectangle, so it has right angles. That means ∠KML and ∠KMN are complementary. So m∠KMN = 36°.
We now know the measures of two angles of triangle KPM. Since angles of a triangle add up to 180°, we can find the measure of the third angle:
m∠KPM + 36° + 27° = 180°
m∠KPM = 117°
HELP!!
Use the drawing tool to sketch the graph and label its parts.
Part B
Answer:
see attached graph on the graph tool
Step-by-step explanation:
The equation of the parabola is
x²-6x-16y+25=0
vertex at (3,1) and focus at (3,5)
Suppose a rock is thrown off of a bridge into the river 120 feet below. The height, h, in feet of the rock above the river is given by h = ?16t2 + 84t + 120, where t is the time in seconds. How long does it take the rock to splash into the river below?
Answer:
about 6.418 seconds
Step-by-step explanation:
You apparently want to find t when h=0:
0 = -16t^2 +84t +120
0 = 4t^2 -21t -30 . . . . . . divide by -4
t = (-(-21 ±√((-21)² -4(4)(-30)))/(2(4)) = (21±√921)/8 . . . . only the positive time is of interest
t = 2.625+√14.390625 ≈ 6.419 . . . . seconds
It takes about 6.42 seconds for the rock to hit the water.
Answer:
6.4
Step-by-step explanation:
A Venn diagram comparing a swamp to a rainforest is shown below: an image of a Venn diagram is shown labeled swamp and rainforest. The label in the swamp portion is B. The label in the intersection of the two circles is C. The label in the rainforest portion is D. The label outside the circles is A. Which area represents elements contained in the sample space that are not contained in swamp or rainforest?
A
B
C
D
The correct answer is A
Explanation:
A Venn diagram is a type of diagram used in mathematics and other fields to show sets and their relationship, because of this, Venn diagrams include at least two sets that are presented in two overlapped circles, in this each circle represents the elements that exclusively belong to each set, while the elements that belong two both sets are placed in the overlapped sections and the elements that do not belong to any of the sets are outside the circles. This implies, in the Venn diagram presented the elements that belong to swamp are in section B, the ones that belong to rainforest are in section D, the elements bot sets share are in section C and those that do not belong to any of the sets presented or that are different from the are in section A, as these elements are outside the circles and therefore do not belong to any of the sets that are represented by the circles.
HELP!!
Select the correct answer.
What is the focus point of a parabola with this equation?
Answer:
The focus point is (2 , 0) ⇒ answer D
Step-by-step explanation:
* Lets revise the equation of the parabola in standard form
- The standard form is (x - h)² = 4p(y - k)
- The focus is (h, k + p)
- The directrix is y = k - p
- If the parabola is rotated so that its vertex is (h , k) and its axis of
symmetry is parallel to the x-axis, it has an equation of
(y - k)² = 4p(x - h)
- The focus is (h + p, k)
- The directrix is x = h - p
* Lets solve the problem
∵ The equation of the parabola is y = 1/8(x² - 4x - 12)
- Lets make x² - 4x completing square
∵ √x² = x
∴ The 1st term in the bracket is x
∵ 4x ÷ 2 = 2x
∴ The product of the 1st term and the 2nd term is 2x
∵ The 1st term is x
∴ the second term = 2x ÷ x = 2
∴ The bracket is (x - 2)²
∵ (x - 2)² = (x² - 4x + 4)
∴ To complete the square add 4 to the bracket and subtract 4 out
the bracket to keep the equation as it
∴ (x² - 4x + 4) - 4 = (x - 2)² - 4
- Lets put the equation after making the completing square
∴ y = 1/8 [(x - 2)² - 4 - 12]
∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8
∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides
∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor
∴ 8(y + 2) = (x - 2)²
∴ The standard form of the equation of the parabola is
(x - 2)² = 8(y + 2)
∵ The standard form of the equation is (x - h)² = 4p(y - k)
∴ h = 2 , k = -2 , 4p = 8
∵ The focus is (h , k + p)
∵ h = 2
∵ 4p = 8 ⇒ divide both sides by 4
∴ p = 2
∴ The focus = (2 , -2 + 2) = (2 , 0)
* The focus point is (2 , 0)
Answer:
D 2,0
Step-by-step explanation:
Line r cuts a pair of parallel lines. One of the eight angles created measures 90°. Which statements about the angles are true? A. All the angles are congruent. B. Only four of the angles measure 90°. C. All the angles are right angles.D. Only the vertical angles are congruent. E. All the interior angles are congruent.
Answer:
A. All the angles are congruent. C. All the angles are right angles.E. All the interior angles are congruent.Step-by-step explanation:
Adjacent angles are supplementary. If one of them is 90°, then they both are. Another name for a 90° angle is "right angle." In this geometry, all 8 of the angles are right angles, including interior, exterior, vertical, linear, adjacent, and any other pairing you might name.
Any statement restricting the congruent angles to "only" some subset will be incorrect. Any and every subset of the angles contains congruent angles.
Answer:
A. All the angles are congruent.
C. All the angles are right angles.
E. All the interior angles are congruent.
This should be right.
Step-by-step explanation:
Solve. What is 99×89-34÷2-1?
Answer:
8793
Step-by-step explanation:
Multiply and divide first, making the equation 8811-17-1. Now subtract. This leaves 8793
Answer:
8793
Step-by-step explanation:
99×89-34÷2-1 = 8793
Multiply: 99 x 89 = 8811
Divide: 32 ÷ 2 = 17
Add: 17 + 1 = 18
Subtract: 8811 - 18 = 8793
43. In how many distinct orders can 5 students stand in
line to buy yearbooks?
Answer: 120
Step-by-step explanation: to get this answer you do 5! (5 factorial), which means you multiply that number by all those which are lower down to one, or 5x4x3x2x1 in this case, which is 120
Answer: 240
Step-by-step explanation: 5 x 4 x 3 x 2 x1 = 240
Liliana is using dark power crystals to raise an army of zombies. She has 5 55 dark power crystals, and each crystal can raise 1 0 1010 zombies. How Many Zombies Can Lilliana Raise
Answer:
56060550
Step-by-step explanation:
555x101010=56060550
That’s a lot of zombies and I’m scared now.
Answer:
56,060,550
Step-by-step explanation:
A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses on the first pass, he misses the second pass 20% of the time. What is the probability of missing two passes in a row?
Answer:
Probability of missing two passes in a row is 0.08.
Step-by-step explanation:
Event E = A football player misses twice in a row.
P(E) = ?
Event X = Football player misses the first pass
P(X) = 0.4
Event Y = Football player misses just after he first miss
P(Y) = 0.2
Both the events are exclusive so the probability of occuring of these two events can be calculated by the formula:
P(E) = P(X).P(Y)
P(E) = 0.4*0.2
P(E) = 0.08
Answer:
Probability of missing two passes in a row is 0.08.
Step-by-step explanation:
Event E = A football player misses twice in a row.
P(E) = ?
Event X = Football player misses the first pass
P(X) = 0.4
Event Y = Football player misses just after he first miss
P(Y) = 0.2
Both the events are exclusive so the probability of occuring of these two events can be calculated by the formula:
P(E) = P(X).P(Y)
P(E) = 0.4*0.2
P(E) = 0.08
There are 16 colors of sweatshirts, 17 of which are cotton and 9 of which are a blend. Each one order a different color with no repeats at random. What is the probability that the friends order only cotton sweatshirts?
Answer:
13%
Step-by-step explanation:
took all numbers add them together than divided by 3
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with windows have hardwood floors?A. 10 B. 16 2/3 C. 40 D. 50 E. 83 1/3
Answer:E 83[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
50% of the apartment in a certain building have windows and hardwood floors.
25% of the remaining 50% apartment without window have hardwood floors.
40% of the apartment do not have hardwood floors i.e. 60 % have hardwood floor
Therefore percent of the apartments with windows have hardwood floors is
[tex]=\frac{50 percent of total\ apartment }{60\ percent\ of\ apartment}[/tex]
=83[tex]\frac{1}{3}[/tex]%
Stormer Company reports the following amounts on its statement of cash flow: Net cash provided by operating activities was $37,000; net cash used in investing activities was $13,600 and net cash used in financing activities was $17,400. If the beginning cash balance is $6,800, what is the ending cash balance?
Answer:
The ending cash balance is $12,800
Step-by-step explanation:
This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are "provided" cash from various activities of $37,000. Based on the word used we can tell that this means we have to add this to our initial balance like so,
[tex]6,800 + 37,000 = 43,800[/tex]
Now our balance is $43,000. Next we are told that Net Cash "used" in investing activities is $13,600 and "used" in financing activities is $17,400. Based on this word we can tell that this money is being subtracted from our balance.
[tex]$43,000 - 13,600 - 17,400 = 12,800[/tex]
Finally, we can see that the ending cash balance is $12,800
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The ending cash balance for Stormer Company can be calculated by starting with the beginning cash balance, adding the net cash provided by operating activities, and then subtracting the net cash used in investing and financing activities: $6,800 beginning balance + $37,000 provided - $13,600 invested - $17,400 financed = $12,800 ending cash balance.
Explanation:To solve this problem, it's crucial to understand that the ending cash balance is calculated by adding or subtracting the net cash provided or used from the beginning balance. In this scenario, the company has reported net cash provided by operating activities, as well as net cash used in investing and financing activities. To find the ending cash balance, you should follow these steps:
Add the net cash provided by operating activities to the beginning cash balance: $6,800 + $37,000 = $43,800 Subtract the net cash used in investing activities: $43,800 - $13,600 = $30,200 Subtract the net cash used in financing activities: $30,200 - $17,400 = $12,800
So, based on the numbers provided by the Stormer Company, its ending cash balance should be $12,800.
Learn more about Cash Flow here:https://brainly.com/question/34633860
#SPJ3
A:4
B:1
C:-1
D:-4
please help
Answer: the answer would be -4
Step-by-step explanation: it is going down 4 units
What type of symmetry is shown in this picture (point, line, or rotational)? Explain your answer and identify the line of symmetry or the point of rotation.
Answer:
symmetry about the y-axis is shown
Step-by-step explanation:
Points on the right of the line of symmetry (x=0, the y-axis) are the same distance from that line as the corresponding points on the left. (That is what makes it a line of symmetry.)
There is no point of rotation that will map one figure to the other after rotation, hence no point or rotational symmetry.
Answer:
Step-by-step explanation:
The figure on the right is obtained by reflecting the figure on the left across the y-axis.
At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x - 3y?
A(5, 0)
B(4, 6)
C(7, 5)
D(8, 2)
Answer:
D.
Step-by-step explanation:
Just see which point yields the highest value.
f(x,y)=4x-3y
Checking choice A:
(x,y)=(5,0)
f(5,0)=4(5)-3(0)=20-0=20.
Checking choice B:
(x,y)=(4,6)
f(4,6)=4(4)-3(6)=16-18=-2.
Checking choice C:
(x,y)=(7,5)
f(7,5)=4(7)-3(5)=28-15=13.
Checking choice D:
(x,y)=(8,2)
f(8,2)=4(8)-3(2)=32-6=26
Choice D yields the highest value of the points given for our relation f(x,y)=4x-3y.
help please asap!!!!!
Answer:
(3)x+(3)
Step-by-step explanation:
the slope is 3 because rise/run and rise is 3 and run is 1 from point (-2,0) and (0,3)the y intercept is 3 plug it in the formula which is y=mx+b (m is slope and b is y interceptPlease assist with this problem. It is really difficult.
[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{\stackrel{\textit{difference of squares}}{(x^3-y^2)(x^3+y^2)}+2y^4}\implies [(x^3)^2-(y^2)^2]+2y^4 \\\\\\ x^6-y^4+2y^4\implies \boxed{x^6+y^4}[/tex]
Answer:
a) [tex](x^3-y^2)(x^3+y^2)+2y^4=x^6+y^4[/tex] is an identity.
Step-by-step explanation:
Most of the left hand sides are in this form:
[tex](a-b)(a+b)[/tex].
When you multiply conjugates you do not have to use full foil. You can just multiply the first and multiply the last or just use this as a formula:
[tex](a-b)(a+b)=a^2-b^2[/tex].
Choice a), b), and d). all have the form I mentioned.
So let's look at those choices for now.
a) [tex](x^3-y^2)(x^3+y^2)+2y^4[/tex]
[tex](x^6-y^4)+2y^4[/tex] (I used my formula I mentioned above.)
[tex]x^6+y^4[/tex]
So this is an identity.
b) [tex](x^3-y^2)(x^3+y^2)[/tex]
[tex]x^6-y^4[/tex] (by use of my formula above)
This is not the right hand side so this equation in b is not an identity.
d) [tex](x^3-y^2)(x^3+y^2)+2y^4[/tex]
[tex](x^6-y^4)+2y^4[/tex]
[tex]x^6+y^4[/tex]
This is not the same thing as the right hand side so this equation in d is not an identity.
Let's look at c now.
c) [tex](x^3+y^2)(x^3+y^2)[/tex]
There is a formula for expanding this so that you could avoid foil. It is
[tex](a+b)(a+b) \text{ or } (a+b)^2=a^2+2ab+b^2[/tex].
Just for fun I'm going to use foil though:
First: x^3(x^3)=x^6
Outer: x^3(y^2)=x^3y^2
Inner: y^2(x^3)=x^3y^2
Last: y^2(y^2)=y^4
---------------------------Add.
[tex]x^6+2x^3y^2+y^4[/tex]
This is not the same thing as the right hand side.
What is the surface area of the sphere shown below with a radius of 6?
Answer:
452.16 units^2
Step-by-step explanation:
Given
Radius = r= 6 units
The formula for finding the surface area of a sphere is:
[tex]A = 4\pi r^2\\A= 4 * 3.14 * (6)^2\\A=12.56*36\\A = 452.16[/tex]
In the formula, π is taken as 3.14.
So, the surface area of the given sphere is 452.16 units^2 ..
Answer:
452.39 units²
Step-by-step explanation:
To get the surface area of a sphere, all you need is the radius. The formula for the surface area is:
V=4πr²
So all you need to do is plug in the values:
V = 4πr²
V = (4)(π)(6)²
V = 4π36
V = 452.39 units²
BUT WAIT! If your teacher set the value of π to 3.14, the answer would be 452.16 units².
The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is –0.26.
Which best describes the strength of the correlation, and what is true about the causation between the variables?
A. It is a weak negative correlation, and it is not likely causal.
B. It is a weak negative correlation, and it is likely causal.
C. It is a strong negative correlation, and it is not likely causal.
D. It is a strong negative correlation, and it is likely causal.
its B
Answer:
The option B
Step-by-step explanation:
The weak correlation rank is between 0,25 and 0,5
The correlation is 0,26, which mean that 26 per cent of the variation is caused for set x
Answer: A. It is a weak negative correlation, and it is not likely causal.
Step-by-step explanation:
Given : The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes.
It means there is correlation . But there it is not likely causal because one thing is not causing other.
The correlation coefficient relating the two variables is -0.26.
We know that when the absolute value of correlation coefficient lies between 0.1 to 0.3, then it indicates that there is weak association.
The absolute value of given correlation coefficient (0.26) lies between 0.1 to 0.3, therefore, it shows weak correlation.
Also, it has negative sign , so it must indicate a weak negative correlation.