As supply rises, prices decrease.
And The average rate of change describes how much a quantity changes as prices increases
As supply decreases, prices increase. It seems logical but I'm not 100% positive on the last one. I know the first 2 are right.
The statements that are true as they relate to supply and demand are: as supply rises, prices generally decrease; as demand decreases, prices generally increase; as supply decreases, prices increase.
Explanation:Supply and demand are fundamental concepts in economics. The law of supply states that as supply increases, prices generally decrease. This is because when there is a higher quantity supplied, producers compete to sell their products, leading to lower prices. On the other hand, the law of demand states that as demand decreases, prices generally decrease. When there is lower demand for a product, sellers may lower prices to attract more buyers.
Additionally, the statement that as supply decreases, prices increase is also true. When the quantity supplied decreases, the scarcity of the product can drive up prices as buyers are willing to pay more for limited supply. The average rate of change refers to how much a quantity changes as the price increases. It is not directly related to supply and demand dynamics, but rather focuses on the relationship between quantity and price. As demand rises, the price of a product generally increases. This is because as more people want to buy a product, sellers can charge higher prices since there is higher demand.
Eighty-five percent of what number is 42.5?
A.
180
B.
36.125
C.
50
D.
30
Answer:
50
Step-by-step explanation:
Hope this helped
:)
The volume of this cube is 64 cubed cm. What is the cube's height? *hint l x w x h = 64 ----The shape is a cube PLZ HURRY WILL GIVE BRAINLIEST!
Answer:
4 cm
Step-by-step explanation:
It's just what cubed is 64. The answer is 4 by the way since
4*4*4=16*4=64
The height (or length of one side) of the cube is 4 cm.
To find the cube's height, we need to use the formula for the volume of a cube.
The volume of a cube is given by the formula:
V = s³, where V is the volume and s is the length of one side of the cube.
In this case, we are given that the volume of the cube is 64 cubic cm. So, we can set up the equation:
64 = s³
To find the height (or length of one side), we need to take the cube root of both sides of the equation:
∛64 = ∛(s³)
Taking the cube root of 64, we get:
∛64 = 4
Therefore, the height (or length of one side) of the cube is 4 cm.
Learn more about volume of a cube click;
https://brainly.com/question/29275443
#SPJ6
Which expression is equivalent to 12x – 3x? *
8x
9
3(3x - x)
x(12-3)
Answer:
x(12-3)
Step-by-step explanation:
The expression given is equal to 9x. The only given answer equivalent to 9x is the last one, x(12-3).
find the percent of change to nearest percent:56 to 80
Answer:
26 %
Step-by-step explanation:
you just go from 80 and count backwards all the way to 56 and count how many spaces or tally's that was and then you got your answer.
Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma, 0, right parenthesis and vertices at (\pm17,0)(±17,0)left parenthesis, plus minus, 17, comma, 0, right parenthesis
Answer:
The equation of the ellipse is [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex]
Step-by-step explanation:
The standard form of the equation of an ellipse with center (0 , 0) is
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1[/tex] , where
The coordinates of the vertices are (± a , 0) The coordinates of the foci are (± c , 0) , where c ² = a² - b²∵ The ellipse is centered at the origin
∴ The center of it is (0 , 0)
∵ It has foci at (± 8 , 0)
- The coordinates of the foci are (± c , 0)
∴ c = ±8
∵ It has Vertices at (± 17 , 0)
- The coordinates of the vertices are (± a , 0)
∴ a = ±17
∵ c² = a² - b²
- Substitute the values of c and a to find b
∴ (8)² = (17)² - b²
∴ 64 = 289 - b²
- Add b² to both sides
∴ b² + 64 = 289
- Subtract 64 from both sides
∴ b² = 225
- Take √ for both sides
∴ b = ± 15
∵ The equation of the ellipse is [tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1[/tex]
- Substitute the values of a and b in it
∴ [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex] ⇒ [tex]\frac{x^{2}}{289}+\frac{y^{2}}{225}=1[/tex]
∴ The equation of the ellipse is [tex]\frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1[/tex]
The standard form equation for this ellipse is (x²/17²) + (y²/15²) = 1.
To find the equation of an ellipse centered at the origin with foci at (±8,0) and vertices at (±17,0), we need to follow these steps:
Determine the values of 'a' and 'c': The vertices give us the value of 'a', which is the distance from the center to a vertex. Here, a = 17.
The foci give us the value of 'c', which is the distance from the center to a focus. Here, c = 8.
Using the relationship c² = a² - b², we can calculate 'b'.
c² = a² - b²
8² = 17² - b²
64 = 289 - b²
b² = 225
b = 15
So, the standard form of the equation of the ellipse is: (x²/17²) + (y²/15²) = 1
Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above the top of the frame will the hook need to be? Round
Answer: The hook would be 2.2 inches (approximately) above the top of the frame
Step-by-step explanation: Please refer to the picture attached for further details.
The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (longest side) and AB and BC are the other two sides
5^2 = 4.5^2 + BC^2
25 = 20.25 + BC^2
Subtract 20.25 from both sides of the equation
4.75 = BC^2
Add the square root sign to both sides of the equation
2.1794 = BC
Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches
To find the distance above the frame for hanging, use the Pythagorean theorem by considering the diagonal created by the ribbon. The hook needs to be approximately 5.39 inches above the top of the frame.
To find how far above the top of the frame the hook needs to be, we need to consider the diagonal of the frame created by the ribbon. Using the Pythagorean theorem, we can calculate this distance.
Width of the frame = 9 inchesLength of the ribbon attached diagonally = 10 inchesUsing Pythagorean theorem: (9)² + x² = (10)²x = square root of (10² - 9²)x = 5.39 inchesTherefore, the hook needs to be approximately 5.39 inches above the top of the frame.
Can someone please help with this?
Answer:
8 square units
Step-by-step explanation:
Draw vertical and horizontal lines, dividing the triangle into 9 equally sized smaller triangles. 4 of the smaller triangles are shaded, so the area of the square is 4/9 the area of the triangle.
A = 4/9 (½ (6)(6))
A = 8
y = 1/2x - 6
X = - 4
What is the solution to the system of equations?
titte
(-8, -4)
(-4,-8)
(-4,4)
(4,-4)
Step-by-step explanation:
Putting value of x
Y = 1/2 ( - 4) - 6
Y = - 2 - 6
Y = - 8
( - 4, - 8)
Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually end up in pond $B$ or pond $C$. On leaving a pond, the logs are equally likely to use any available exit flume. Logs can only float in the direction the arrow is pointing. What is the probability that a log in pond $A$ will end up in pond $B$?
Answer:
Step-by-step explanation:
1 1/5
Answer:
5/18
Step-by-step explanation:
There is a 1/3 chance of going to k. From K, there is a 1/2 chance of going to b, so that way has a prob of 1/6. By the same concept, there is a 1/9 chance of going to B via J. The prob you are asking for is 5/18
Factor out a GCF
[tex]3x^{2} +12x[/tex]
Answer:
3x(x+4)
Step-by-step explanation:
3x^2+12x
3x^2 = 3*x*x
12x = 2*2*3*x
We can factor out 3x
3x (x+2*2)
3x(x+4)
What is 9.22 × 103 in standard form
Answer:
=>9.4966×10^2
Step-by-step explanation:
9.22×103
=>949.66
in standard form
=>9.4966×10^2
Jenna earned 557 her first week working at a coffee stand.The next week she weared 773. How much did jenna earn her fist two weeks working at the coffee stand
Answer:
Jenna earned 1330 in first two weeks working at the coffee stand.
Step-by-step explanation:
Given:
Amount earned in 1 week = 557
Amount earned in next week =773
We need to find the amount earned in 2 weeks.
Solution:
Now we know that;
Amount earned in 2 weeks is equal to sum of Amount earned in 1st week and Amount earned in next week.
framing in equation form we get;
Amount earned in 2 weeks = [tex]557+773 = 1330[/tex]
Hence Jenna earned 1330 in first two weeks working at the coffee stand.
In order to answer the following question, please use the following image down below:
Find the value of x.
X=(Blank)
What is the value of X? Please show all the work on how you got your answer.
(If you can't explain your work, then it's fine. The only thing that I'm asking for is for you to show the work alongside your answer)
Answer:
12
Step-by-step explanation:
X^2 = (7+9)(9) -->
X^2 = 16(9) -->
X = 12
1. What is the shape of the distribution below?
(a) The distribution is symmetrical
(b) The distribution is not symmetrical
Answer: A
Step-by-step explanation: Because you have a dot in the middle and it is very equal
Answer: the distribution is symmetrical.
Step-by-step explanation:
3. An amusement park charges $6 to enter, and $3 per game. If you paid a
total of $18, how many games did you play?
Answer:
You played 4 games
Step-by-step explanation:
You start with $18 and subtract 6 from the entry fee. Then, you divide the 12 you got from that and divide it by 3
Final answer:
To determine the number of games played, subtract the access fee from the total cost and then divide by the per-game price. In this case, the student paid for an access fee of $6, and played 4 games at $3 each to reach a total cost of $18.
Explanation:
The question posed is a basic algebra problem involving a fixed entry fee and a variable cost per game. The given information states that the access fee is $6 and the per-unit price, which in this case is the cost per game, is $3. If the total amount paid was $18, the number of games played can be calculated.
To solve, let's denote the number of games played as x. The total cost is made up of a fixed access fee plus the cost of the games played. The expression for the total cost is thus $6 (access fee) + $3x (cost of games).
The equation based on the total amount paid would be:
6 + 3x = 18
To find the value of x, we subtract the access fee from the total amount paid:
18 - 6 = 3x
That simplifies to:
12 = 3x
Which can then be solved by dividing both sides by 3:
x = 12 / 3
x = 4
The student thus played 4 games.
Which expression is equivalent to the following complex fraction?
StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction
Answer:
(-2y+5x) / (3x - 2y)
Step-by-step explanation:
If we write this sentence, we have:
((-2/x) + (5/y)) / ((3/y) - (2/x))
If we do LCM in the denominators of each fraction, we have:
((-2y+5x)/xy) / ((3x - 2y)/xy)
We can cut the 'xy' in the numerator and denominator of the whole fraction:
(-2y+5x) / (3x - 2y)
The final expression we have is (-2y+5x) / (3x - 2y)
Answer:
a
Step-by-step explanation:
(-2y+5x) / (3x-2y)
which of the following answers is the simplified form of 3^2 x 3^-6?
Answer:
where are the answer choices?
Step-by-step explanation:
Answer:
It is 3^-4
Step-by-step explanation:
-6+2=-4
June ran 1/4 of a mile in 3 minutes. How long will it take her to run a full mile?
Answer:
12 minutes !
Step-by-step explanation:
Hope this helps!!
Answer:
12 minutes
Step-by-step explanation:
3 x 4 = 12
Find the missing length of the triangle.
1.1 yd
6.1 yd
Answer:
6 yards.
Step-by-step explanation:
You can find this answer by using the Pythagorean theorem. Because c in the equation will always stand for the hypotenuse, the longest side, it's easier to fill in the blanks with the stuff given to you.
In this case, 1.1^2 + a^2 = 6.1^2
If you simplify, the answer should be 6 yards.
9. Bryce goes och for a walk. He walks 9/8 miles from home. He walks back 1/2
mile before meeting up with his friend Mya. Write and simplify an expression (a
sum) that describes this situation.
Answer:
Expression:
[tex]\frac{9}{8}+(-\frac{1}{2})=\frac{5}{8}[/tex]
Step-by-step explanation:
We are given that
Bryce traveled distance from his home=[tex]\frac{9}{8}miles[/tex]
Bryce traveled distance back=[tex]\frac{1}{2}miles[/tex]
We have to find the expression and then simplify.
According to question
Total distance traveled by Bryce
=[tex]\frac{9}{8}+(-\frac{1}{2})[/tex]
This is required expression.
Total distance traveled by Bryce=[tex]\frac{9-4}{8}=\frac{5}{8}miles[/tex]
Hence, the total distance traveled by Bryce from his home=[tex]\frac{5}{8}miles[/tex]
Final answer:
To find the total distance Bryce walked, we add 9/8 miles to 1/2 mile, which equals 13/8 miles or simplified to 1 5/8 miles.
Explanation:
Bryce initially walks 9/8 miles from home. On his way back, he walks 1/2 mile before meeting up with his friend Mya. To describe this situation with an expression and simplify it, we add these distances together:
Total distance walked = 9/8 miles + 1/2 mile
To simplify, find a common denominator (which in this case is 8), and then add the numerators:
Total distance walked = (9/8) + (4/8)
Total distance walked = (9 + 4) / 8
Total distance walked = 13/8
Total distance walked = 1 5/8 miles
This is the sum describing the distance Bryce walked before meeting Mya, which simplifies to 1 and 5/8 miles.
Derek has a cylindrical water bottle with a diameter of 4 centimeters and a height of 15 centimeters. If he filled the water 3/4 full of water, how much water is in the water bottle?
Answer:
141 3/8
Step-by-step explanation:
First find the volume by multiplying pi, the radius squared, and the height. Pi is 3.14. The radius is half the diameter, so it would be 2. 2^2 is 4. The height is 15. 3.14*4*15=188.5 Then multiply 3/4 and 188.5 to get your answer. 141.375 or 141 3/8.
Determine which pair of points has a positive slope.
A. (5, -4), (-2, 1)
B. (-10, -2), (6,6)
C. (6, -10), (2, 10)
D. (5, -1), (-6, 6)
Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 80 espressos in all, 80% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
64 single-shot espressos
Step-by-step explanation:
Let's say that the cafe sold x single-shot espressos. The total number of espressos sold was 80, and 80% of that total 80 were single-shot. So, we have the equation:
x = 80% * 80
Remember that % just means "out of 100". So, 80% = 80/100:
x = (80/100) * 80 = 6400/100 = 64 single-shot espressos
Hope this helps!
Answer:
64
Step-by-step explanation:
80% of 80 were single-shots
80/100 × 80
64
Circle A has a circumference of 8/3 m. Circle B has a diameter that is 3/2 times as long as Circle A’s diameter. What is the circumference of Circle B?
Answer:
the answer is 4
Step-by-step explanation:
if my calculations are right
y= arctan(-4x) when dy/dx at x = 3
Answer:
200\cdot25-84\cdot\frac{91}{12-65}\cdot\frac{8412}{1.000}-2000000\cdot46512
Step-by-step explanation:=−9.30227818×1010
HELP ME SOMEONE PLEASE
sorry for yelling i just want to know if im doing this right, thank you
Answer:
I'm just answering for no reason.
Step-by-step explanation:
No reason.
PLEASE MATH HELP ( EASY )
Answer:
[tex]\frac{169\pi }{180}[/tex]
Step-by-step explanation:
To convert from degree measure to radian measure
radian = degree × [tex]\frac{\pi }{180}[/tex], thus
radian measure = 169 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{169\pi }{180}[/tex]
Here are the weights, in pounds, of a sample of 13 adult female golden retriever dogs: 59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4. what are the degrees of freedom, and what's the critical value of t needed to construct a 95% confidence interval for the population mean weight of adult female golden retrievers? answer:
Answer:
95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].
Step-by-step explanation:
We are given that the weights, in pounds, of a sample of 13 adult female golden retriever dogs :
59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean weight = [tex]\frac{\sum X }{n}[/tex] = 54.9 pounds
s = sample standard deviation = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex] = 3.12 pounds
n = sample of female = 13
[tex]\mu[/tex] = population mean weight
Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.179 < [tex]t_1_2[/tex] < 2.179) = 0.95 {As the critical value of t at 12 degree
of freedom are -2.179 & 2.179 with P = 2.5%}
P(-2.179 < [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.179) = 0.95
P( [tex]-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X -\mu}[/tex] < [tex]2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [tex]\bar X \pm 2.179 \times {\frac{s}{\sqrt{n} } }[/tex]
= [ [tex]54.9 - 2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] , [tex]54.9 +2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] ]
= [53.01 pounds , 56.78 pounds]
Therefore, 95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].
which is true regarding the system of equations 6x+2y=46 3x+y=23
Answer:
Step-by-step explanation:
hello :
the system is : 6x+2y=46
3x+y=23
if you multiply the second equation by : 2 you have 6x+2y =46(same first equation )
conclusion : the system have infinity solutions ( graphically same line)
conclusion :
When a number is increased by 2.8%, the result is 56. What is the original number to
the nearest tenth?
Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
[tex]56 \div 1.028 = 54.47[/tex]
3. Round it to the nearest tenth.
54.47 rounds to 54.5.
To find the original number when increased by 2.8%, we set up and solve an equation. The original number to the nearest tenth is approximately 54.4.
Explanation:To find the original number, we can set up the equation:
x + 0.028x = 56
Simplifying gives:
1.028x = 56
Dividing both sides by 1.028 gives:
x = 56 / 1.028 ≈ 54.41
So, the original number to the nearest tenth is approximately 54.4.
Learn more about Original Number :https://brainly.com/question/24082954
SPJ2