The distance between the points G(-9, 6) and Q(-2, 1) in the coordinate plane is approximately 8.6.
To calculate the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be stated as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the given points are G(-9, 6) and Q(-2, 1).
Step 1: Identify the coordinates of the two points.
G has coordinates (-9, 6) and Q has coordinates (-2, 1).
Step 2: Substitute the coordinates into the distance formula.
Using the distance formula, we can plug in the values as follows:
Distance = sqrt((-2 - (-9))^2 + (1 - 6)^2)
Simplifying the formula:
Distance = sqrt((7)^2 + (-5)^2)
Distance = sqrt(49 + 25)
Distance = sqrt(74)
Step 3: Calculate the square root.
Taking the square root of 74, we get:
Distance ≈ 8.6
For more such questions on approximately
https://brainly.com/question/29985480
#SPJ8
Karina is showing her steps to solve the expression −26.7 ÷ 1 over 3.
In which step did Karina make an error?
Step 1: −26.7 ÷ 1 over 3
Step 2: −26.7 ⋅ −3
Step 3: 80.1
Answer:
-26.7/1 = -26.7
-26.7/3 does not equal -26.7 x -3
By: sbcardinals
. Multi-choice question
a.
b.
c.
d.
e.
Answer:
im positive its D.
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Divide each one by the number of sandwhiches.
A. $6 a sandwhich so a
B. $6 a sandwich so also b
C. $8 so not c
D. $6.25 so not d
E. $7 a sandwhich so not E
estimate then divide using the standard algorithnm and check 45.15 /21
In mathematics, division is one of the four basic arithmetic operations. It involves the sharing of a number of items equally into a number of groups. For instance, consider dividing 45.15 by 21 using the standard algorithm and then check the answer.
_2.1|_4_5_.1_5_____
2.1 (first estimate)
___
2.9 (subtraction)
2.1 (second estimate)
___
8_5 (subtraction)
8_4 (third estimate)
___
1_5 (subtraction)
Therefore, 45.15 ÷ 21 = 2.147619047619048. To check our answer, we need to multiply the quotient by the divisor to verify if the product is equal to the dividend. In this case, we have 2.147619047619048 × 21 ≈ 45.15. Thus, the answer to 45.15 ÷ 21 is 2.147619047619048, and the check shows that the division is correct.
To know more about division visit:
https://brainly.com/question/2273245
#SPJ11
712.9 divided by what equals 71.29
Answer: 712.9÷10=71.29
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
If you divide 712.9 by 10 you get 71.29. Dividing by a ten moves the decimal point one to the left making it a smaller number.
dent free
FIND YOUR LIVE
Homer buys groceries for 50 dollars and a coffee for 5 dollars. Sales tax is 8%. How much
does Homer actually have to pay?
what is the constant of proportionality for the line on the graph below?
Answer:
you add then you multiply the number that you have and then whatever you get thats your answer
Step-by-step explanation:
hopes this help :)
Which one is right?
Answer:
a
Step-by-step explanation:
Pls give me the answer to
12 – 3x = -6х
Answer:
-4
Step-by-step explanation:
Move variables to one side and numbers on the other.
12 - 3x = -6x
+ 3x +3x
12 = -3x
/-3 /-3
-4 = x
Which pair of numbers has an LCM of 16?
3 and 16
2 and 4
4 and 8
4 and 16
Answer:
4 and 16
Step-by-step explanation:
The pair of numbers that has an LCM of 16 is D. 4 and 16.
The LCM of 3 and 16 will be:
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, and 48
16 = 16, 32, 48
LCM = 48
The LCM of 2 and 4 will be:
2 = 2 4, 6
4 = 4, 8
LCM = 4
The LCM of 4 and 8 will be:
4 = 4, 8, 12 ...
8 = 8, 16, 24
LCM = 8
The LCM of 4 and 16 will be:
4 = 4, 8, 12, 16, 20
16 = 16, 32..
LCM = 16
Therefore, the correct option is D.
Read related link on:
https://brainly.com/question/14108968
A ship embarked on a long voyage. At the start of the voyage, there were 500 ants in the cargo hold of the ship. One week into the voyage, there were 800 ants. Suppose the population of ants is an exponential function of time.
(a) How long did it take the population to double? (Round your answer to the nearest 0.01.) (b) How long did it take the population to triple? (Round your answer to the nearest 0.01.) (c) When were there be 10,000 ants on board? (Round your answer to the nearest 0.01.) (d) There also was an exponentially-growing population of anteaters on board. At the start of the voyage there were 17 anteaters, and the population of anteaters doubled every 2.8 weeks. How long into the voyage were there 200 ants per anteater? (Round your answer to the nearest 0.01.)
(a) The population of ants doubled in one week, so it took 1 week.
(b) The population of ants tripled in two weeks.
(c) The population of ants reached 10,000 in 13.29 weeks.
(d) There were 200 ants per anteater after 7.64 weeks.
Here is the explanation for each answer:
(a) The population of ants doubled in one week, so it took 1 week.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants doubled in one week, which means that it grew by a factor of 2. This means that the growth rate of the population is 2 per week.
The time it takes for the population to double is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to double.
Since the growth rate of the population is 2 per week, it took 1 week for the population to double.
(b) The population of ants tripled in two weeks.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants tripled in two weeks, which means that it grew by a factor of 3. This means that the growth rate of the population is 3 per week.
The time it takes for the population to triple is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to triple.
Since the growth rate of the population is 3 per week, it took 2 weeks for the population to triple.
(c) The population of ants reached 10,000 in 13.29 weeks.
The population of ants is an exponential function of time, which means that it grows at a rate that is proportional to its current size. In other words, the more ants there are, the faster the population grows.
The population of ants reached 10,000 in 13.29 weeks, which means that it grew by a factor of 10,000. This means that the growth rate of the population is 10,000 per 13.29 weeks.
The time it takes for the population to reach a certain size is inversely proportional to the growth rate. In other words, the faster the population grows, the less time it takes to reach a certain size.
Since the growth rate of the population is 10,000 per 13.29 weeks, it took 13.29 weeks for the population to reach 10,000.
(d) There were 200 ants per anteater after 7.64 weeks.
The population of anteaters is also an exponential function of time, but it doubles every 2.8 weeks. This means that the growth rate of the population of anteaters is 1/2.8 = 0.357 per week.
The population of ants is growing at a much faster rate than the population of anteaters. This means that the number of ants per anteater will continue to increase over time.
After 7.64 weeks, the population of ants will be 200 times the population of anteaters. This means that there will be 200 ants per anteater.
Learn more about exponential population growth here:
https://brainly.com/question/28638105
#SPJ11
Problem - Firms in a competitive market have the following production costs for various levels of output. The market price is currently $4. Quantity Total Cost 0 1 10 2 13 3 18 4 25 34 1. How many units will each firm supply to maximize profit, and how much profit will each firm earn? Show calculations. 2. When the market price is at $4, is the market in long-run equilibrium? Explain your answer. 3. At what price will the market be in long-run equilibrium? Show calculations.
For various levels of output, businesses in a competitive market have the following production costs. Right now, the price on the market is $4. Total Cost Quantity 0 1 10 2 13 3 18 4 25 34. Therefore,
1. Each firm maximizes profit by supplying 2 units where MR = MC.
2. At $4 market price, market not in long-run equilibrium as ATC ($6.5) > price.
3. Market reaches long-run equilibrium at $6, the minimum point of ATC curve.
To determine the units each firm will supply to maximize profit and calculate the profit, we need to examine the cost and revenue associated with each quantity of output.
Quantity Total Cost
0 1
1 10
2 13
3 18
4 25
1. To find the quantity that maximizes profit for each firm, we need to compare the marginal cost (MC) and marginal revenue (MR) at each quantity level.
Quantity Total Cost MC MR
0 1 - -
1 10 9 4
2 13 3 4
3 18 5 4
4 25 7 4
To maximize profit, a firm will produce where MR equals MC. Looking at the table, we can see that at a quantity of 2, the MR and MC are equal. Therefore, each firm will supply 2 units to maximize profit.
2. To determine if the market is in long-run equilibrium at a market price of $4, we need to compare the market price with the average total cost (ATC) for each firm. If the market price is equal to or greater than the ATC, the market is in long-run equilibrium.
Let's calculate the ATC for each firm at a quantity of 2:
[tex]ATC = \frac{Total Cost}{Quantity}[/tex]
[tex]ATC = \frac{13}{2}[/tex]
ATC = 6.5
The ATC for each firm is $6.5, which is greater than the market price of $4. Therefore, the market is not in long-run equilibrium because firms are not covering their costs and would not continue to operate in the long run.
3. To determine the price at which the market will be in long-run equilibrium, we need to find the minimum point of the average total cost (ATC) curve. This point represents the price at which firms can cover their costs and earn a normal profit in the long run.
Looking at the table, we can observe that the minimum ATC occurs at a quantity of 3. Let's calculate the ATC at this quantity:
[tex]ATC = \frac{Total Cost}{Quantity}[/tex]
[tex]ATC = \frac{18}{3} = 6[/tex]
Therefore, the market will be in long-run equilibrium at a price of $6, which corresponds to the minimum point of the ATC curve.
To know more about the average total cost curve refer here,
https://brainly.com/question/14869550#
#SPJ11
what is the distance from (-4, 0) to (2, 5) round your answer to the nearest hundreth
can you simplify (9c^8)^1/2
Answer: 9c8
———
2
Step-by-step explanation:
32c8
Simplify 32c8———
2
You conduct a 1-way ANOVA with 6 groups. You find a statistically significant effect. How many possible pairwise comparisons could be conduct with this data? Number of pairwise comparisons:
Answer:
There are 15 possible pairwise comparisons that can be conducted with the given data.
Step-by-step explanation:
The number of possible pairwise comparisons that can be conducted in a 1-way ANOVA with 6 groups can be calculated using the formula:
Number of pairwise comparisons = (n * (n - 1)) / 2
where n is the number of groups.
In this case, n = 6. Plugging this value into the formula:
Number of pairwise comparisons = (6 * (6 - 1)) / 2
= (6 * 5) / 2
= 30 / 2
= 15
Therefore, there are 15 possible pairwise comparisons that can be conducted with the given data.
#SPJ11
A person standing 28 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles are similar.
Answer:
20 ft
Step-by-step explanation:
Since we assume the triangles are similar, therefore, the ratio of their corresponding sides will be the same.
Height of the bigger triangle corresponds to height of the person
Distance of the person from street light + shadow of the person corresponds to the length of the shadow of the person
Therefore, the ratio of the corresponding sides of the triangles would be:
Height of bigger triangle : height of the person = Distance of the person from street light + shadow of the person : length of the shadow of the person
Thus:
h : 6 = 28 + 12 : 12
h : 6 = 40 : 12
h/6 = 40/12
Cross multiply
12h = 40*6
12h = 240
Divide both sides by 12
12h/12 = 240/12
h = 20
Height of the street light = 20 ft
mia wrote a proof that triangle aed is congruent to triangle ceb. mias proof is incomplete. how ca mia fix her proof?
To make her proof even more comprehensive, she may want to include a diagram that shows the triangles and their corresponding sides and angles. This will help her readers visualize the congruence of the two triangles.
When writing a proof, it's essential to demonstrate how you came to your conclusion. You must use precise definitions and provide the reasons for each of your statements. Let's take a look at how Mia can fix her incomplete proof. We'll assume that Mia has stated that triangle AED is congruent to triangle CEB. To fix her proof, Mia should include the following statements and reasons. Mia should use the Side-Angle-Side (SAS) Congruence Postulate to demonstrate that triangle AED is congruent to triangle CEB. The SAS Congruence Postulate states that if two sides and the angle between them in one triangle are congruent to two sides and the angle between them in another triangle, the triangles are congruent.In this case, Mia should demonstrate that Side AE is congruent to Side CB, Angle AED is congruent to Angle CEB, and Side DE is congruent to Side BE. Then, she should conclude that triangle AED is congruent to triangle CEB. The reason for each statement should be provided to support her argument.Mia should ensure that her proof includes precise definitions and explanations.
for more search question comprehensive
https://brainly.com/question/27895533
#SPJ8
the factors of a number inculide 2, 3, 4, 6, 8, 12, 16, 32, and 48. which could be the number?
Answer:
The number could be 48.
Step-by-step explanation:
To determine the number that has the given factors, we look for the common factors among the provided numbers: 2, 3, 4, 6, 8, 12, 16, 32, and 48. Among these numbers, the only one that is a factor of all the others is 48. Therefore, 48 is a possible number that satisfies the given conditions.
#SPJ11
Helppppp pleaseeeeeee:/
Answer:
y=5x+1
Step-by-step explanation:
If you look closely at each side, you will see that the x increases by one and the y increases by five.
To get to zero (0) from one (1), you need to substract one.
Every time one is subtracted for x, 5 is subtracted from y.
6-5=1
Hope this helps :-)
use the GCF and the distributive property, first to answer correct get brainlist
Answer:
C
Step-by-step explanation:
( 18 x 2) + (18 x 3) = 36 + 54
0.15, 0.17, 0.19.
what is going up by ?
Answer:
It goes up by 2 each time
Step-by-step explanation:
need help with this !!!
n/3-8=-2
Answer:
n = 18
Step-by-step explanation:
Add 8 to each side, so it now looks like this: [tex]\frac{n}{3} = 6[/tex] Multiply each side by 3 to cancel out the 3 under n. It should now look like this: n = 18I hope this helps!
Answer:
n=18
Step-by-step explanation:
(six to the -4th power Times eight to the -7th power )-7 =?
Answer:
-7
Step-by-step explanation:
I just yeeted it into a calculator.
Answer:
-7
Step-by-step explanation:
Step 1: Write expression
(6⁻⁴ · -8⁻⁷) - 7
Step 2: Parenthesis Exponents
(1/1296 · 1/2097152) - 7
Step 3: Parenthesis multiply
1/2717908992 - 7
Step 4: Subtract
-19025362943/2717908992
Step 5: Evaluate
-7
A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take? *
The difference of 9 and the square of a number.
Answer:
x² - 9
Step-by-step explanation:
Step 1: Convert word to math
9 = 9
square of a number = x²
Step 2: Combine
"Difference" = subtraction
x² - 9
Find the value of x. The diagram is not to scale.
Hellpeelelepeppppppppppppppp
Answer:
X=58 probably
Step-by-step explanation:
180-(56+66) = 180-122=58
180 is the area or angle of the triangle
If y(x) = 4x, what is x when x) = 4?
2.
1
4
O
Answer:
4
Step-by-step explanation:
give me brainliest!
the international space station travels in its orbit around earth at a constant speed of 17,500 miles per hour. the function d(t) represents the total distance that the international space station has traveled, t hours since it first entered earth orbit. what is the range of d(t)?
Answer:
d(t) has infinite range assuming the space station doesn't experience any complications
Step-by-step explanation:
problem doesn't say how long it is in orbit
what does x equal
9x - 3 = -138
x=
Answer: x=3/9
Have a nice day people
and if you need help I am right here baby;)
Let's solve your equation step-by-step.
9x−3=−138
Step 1: Add 3 to both sides.
9x−3+3=−138+3
9x=−135
Step 2: Divide both sides by 9.
9x/9=-135/9
x=−15
Answer:
x=−15
Jackson takes a 254-minute nap for each of the 31 days in October. How many minutes does Jackson nap during October in all?
Answer:7,874
Step-by-step explanation: Because if he naps for 254 mins a day and there are 31 days, you multiply 254 by 31
