Answers
Place points at:
(-2, 2)
(-1, 0.5)
(0, 0)
(1, 0.5)
(2, 2)
The parabola should look something like this.
Related Questions
A bag holds 500 grams of sand. About how many grains of sand are in the bag? There are about 1,000 grains of sand in 1 gram.
Answers
Georgie needs to paint the wall with a fixing mixture.
She mixes glue and water in the ratio 3:1 to make the mixture.
Georgie needs 5 litres of the mixture.
She has 3.5 litres of glue. Does Georgie have enough glue to make 5 litres of the mixture?
Answers
Answer:
You will need approximately 1.17 L of water with 3.5 L of glue. This is a total of 4.67 L, which is NOT enough.
Step-by-step explanation:
Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Ratio of glue and water = 3 : 1
Amount of mixture = 5 litres
Georgie has glue = 3.5 litres
Now let x be the number,
So, Amount of glue in the mixture = 3x
and, amount of water in the mixture = x
⇒ Amount of mixture = 3x + x
⇒ 3x + x = 5
⇒ 4x = 5
⇒ x = 5/4
⇒ x = 1.25
Thus, Amount of glue in the mixture = 3*1.25 litres
⇒ Amount of glue in the mixture = 3.75 litres
So, Amount of glue in the mixture is greater than amount of glue Georgie has.
Thus, Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.
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if you had a rectangular sheet cake do you need to cut into 15 pieces how many pieces would have to be on each side to achieve that many servings out of the whole cake
Answers
3 * 5 = 15.
You can cut the cake into 5 pieces along the length, and cut into 3 pieces along the width to get 15 pieces.
Which two lakes are they?
Answers
Lake B : 21/35 (simplifying by 7) = 3/5
Lake C : 3/9 (simplifying by 3) = 1/3
Lake D : 6/16 (simplifying by 2) = 3/8
Lake E : 24/30 (simplifying by 6) = 4/5
Alternative C, Lake A and Lake E
The probability of drawing a green marble from a marble bag is 40%. What are the odds in favor of drawing a green marble?
A. 5:2
B. 3:2
C. 2:3
D. 2:5
Answers
Option: C is the correct answer:
C. 2:3
Step-by-step explanation:The odds in favor of an outcome is the ratio of number of ways the outcome could occur to the number of ways it could not occur.
Here we are asked to find the odds in favor of drawing a green marble.
Hence, it is the ratio of the number of ways the green marble will come up to the number of ways it could not come up.
The probability of drawing a green marble from a marble bag is 40%.
This means that the probability of not drawing a green marble from the bag is: 60%
( since, 100-40=60)
Hence, the odds in favor is: 40:60
i.e.
4:6=2:3
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
The domain of the function is __ ≤ x ≤ ___
I will give brainiest If correct!!!!!!!!!!!
Answers
The height of the dome of the building is given by
[tex] f(x)=2\sqrt{-x^2+10x} [/tex]. The quantity in the square root should be greater than or equal to 0. We need
[tex] -x^2+10x\geq 0\\
x(10-x)\geq 0\\
0\leq x\leq 10 [/tex].
So the domain is [tex] 0\leq x\leq 10 [/tex]
Answer:
0 ≤ x ≤ 10
Step-by-step explanation:
We cannot take the square root of a negative number. This means we cannot use negative numbers in this equation; this means the lower end is 0.
We can only use x values until the value of the negative square is greater than the value of 10 times the x.
10(1) = 10, which is greater than -(1(1)) = -1.
10(2) = 20, which is greater than -(2(2)) = -4.
10(3) = 30, which is greater than -(3(3)) = -9.
10(4) = 40, which is greater than -(4(4)) = -16.
10(5) = 50, which is greater than -(5(5)) = -25.
10(6) = 60, which is greater than -(6(6)) = -36.
10(7) = 70, which is greater than -(7(7)) = -49.
10(8) = 80, which is greater than -(8(8)) = -64.
10(9) = 90, which is greater than -(9(9)) = -81.
10(10) = 100, which is equal to -(10(10)) = -100. This means this is the cutoff point for this function.
Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into his bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below.
Which model shows the probability of selecting each type of treat from his bag?
Answers
Answer:
D. Swordfish treat: 20%
Lizard Lollies : 50%
Puffer pops: 30%.
Step-by-step explanation:
We are told that Matrix is handing out treats at a local protest to promote his new detective agency.
Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.
We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].
Let us find probability of choosing each type of treat one by one.
[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]
[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]
Therefore, the probability of choosing swordfish treat is 0.20 or 20%.
[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]
Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.
[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]
[tex]\text{Probability of choosing puffer pop}=0.30[/tex]
Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.
Upon looking at our given choices we can see that option D is the correct choice.
Answer: D
Step-by-step explanation:
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true? A. The triangle in question is a right triangle. B. The triangle in question is not a right triangle. C. The triangle in question may or may not be a right triangle.
Answers
For this triangle you can apply Pythagorean theorem.
3²+4²=5²
9+16=25
25=25
~~
Why??
The pythagorean theorem is,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Plug in the numbers,
[tex] {3}^{2} + {4}^{2} = {5}^{2} [/tex]
↑
This is true
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
What is the volume of the trapezoidal right prism?
A.
846 m3
B.
720 m3
C.
423 m3
D.
56 m3
Answers
V = Ab * h
Where,
Ab: base area
h: height
We have then:
Ab = (1/2) * (40 + 7) * (6)
Ab = 141 m ^ 2
Then, replacing we have:
V = (141) * (3)
V = 423 m ^ 3
Answer:
The prism volume is given by:
V = 423 m ^ 3
(40+7) / 2 = 23.5
23.5 x 3 = 70.5
70.5 x 6 = 423 m3
Answer is C
write a division equation for the picture
Answers
there isn't a picture but a good division equation would be x divided by y equals z :)
The Perimeter of a triangle is 50 cm. One side is 7cm longer than the another side and 5 cm shorter than the third side. Find all the sides of the triangle.
Answers
x+(x+7)+(x-5)=50
simplify:
3x+7-5=50
3x=48
x=16
16+7=23
16-5=11
So the thee sides are 11, 16 and 23.
Hope this helped.
NEED HELP ASAP
Read the complete problem before answering. Josh worked 2 1/2 hours of overtime on the weekend. He makes $20.50 an hour for overtime. How much did Josh make in overtime on the weekend? A student solved the problem this way: Let n represent the amount of money Josh earned working overtime. 2 1/2 hours = 2.5 hours n = 2.5 × $20.50 n = $51.25 Josh made $51.25 in overtime on the weekend. Use a similar strategy to solve this problem. Maria needed 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour for her cookie recipe. Flour cost $0.50 a cup. How much will Maria spend on flour to make her cookies? A. $1.55 B. $2.25 C. $3.80 D. $5.35
Answers
Hope this helps :)
By converting mixed numbers to decimals and multiplying the total number of cups of flour by the cost per cup, we find out Maria will spend $3.80 on flour, which is option C.
To find out how much Maria will spend on flour to make her cookies, we need to calculate the total cost of white and whole wheat flour. Maria needs 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour. First, we convert the mixed numbers to decimal form: 3 1/10 cups is 3.1 cups, and 4 1/2 cups is 4.5 cups. Then we add them together to find the total number of cups Maria will use:
3.1 cups + 4.5 cups = 7.6 cups
Next, since flour costs $0.50 per cup, we multiply the total number of cups by the cost per cup:
7.6 cups × $0.50 per cup = $3.80
Therefore, Maria will spend a total of $3.80 on flour for her cookie recipe, making the correct answer C. $3.80.
find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3
Answers
1. You have the following expressions shown in the problem above:
(8m^2-6/n+3) + (9m^2-4/n+3)
2. As you can see, they have equal denominators, then you have:
(8m^2-6+ 9m^2-4)/(n+3)
3. Therefore, when you sum, you have the following result:
(17m²-10)/(n+3)
The answer is: (17m²-10)/(n+3)
Find the mean absolute deviation of the set of data 3,8,10,12,15
Answers
48 / 5 = 9.6 or 10
3 - 7
8 - 2
10 - 0
12 - 2
15 - 5
7 + 2 + 0 + 2 + 5 = 16
16 / 5 = 3.2 or 3
The Mean Absolute Deviation is approximately 3
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The mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To find the mean absolute deviation (MAD)
We have to find the mean (average) of the data set.
The mean is given by mean = (3 + 8 + 10 + 12 + 15) / 5
= 48 / 5
Mean= 9.6
Calculate the absolute deviation of each data point from the mean.
The absolute deviation of each data point from the mean is given by:
|3 - 9.6| = 6.6
|8 - 9.6| = 1.6
|10 - 9.6| = 0.4
|12 - 9.6| = 2.4
|15 - 9.6| = 5.4
The mean of the absolute deviations is given by:
MAD = (6.6 + 1.6 + 0.4 + 2.4 + 5.4) / 5
= 2.4
Therefore, the mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
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Please help with 5,6,8, and 10
Answers
5x + 5x(1.2)
Simplify to get:
5x + 6x = 11x
6. 7z - 1/3(7z)
Simplify the equation to get:
[tex]7z - \frac{7}{3} z[/tex]
Rewrite as:
[tex] \frac{21}{3}z - \frac{7}{3} z[/tex] and combine like terms to get [tex] \frac{14}{3} z[/tex]
8. [tex] \frac{3}{4}v - 6( \frac{2}{9}y) [/tex]
Rewrite as:
[tex] \frac{3}{4} v - \frac{12}{9}y [/tex]
And simplify to get:
[tex] \frac{3}{4}v - \frac{4}{3}y [/tex]
10. [tex]2x + \frac{2}{3}x + 5 + 11 - x [/tex]
Combine like terms:
[tex]x + \frac{2}{3}x + 16 [/tex] which becomes [tex] \frac{3}{3}x + \frac{2}{3} x + 16 [/tex]
Do it again and get your answer:
[tex] \frac{5}{3}x + 16 [/tex]
The population of Linton is 12 times as great as the population of Elmore the combined population of both towns is 9,646 people what is the population of Linton
Answers
Since that the population of Linton is 12 times as great as the population of Elmore, then it is considered to be "12x".
Since that the sum of both Elmore and Linton is 9.646, then "X + 12x = 9464" x+12x is 13x , so it should be "13x = 9464". Now, it is easy to find the population of Elmore which is 9464 / 13 = 742. Since that the population of Linton is 12 times the population of Elmore, then the population of Linton is "742 * 12 = 8904".
Final answer:
The population of Linton is 8,904 people, calculated by first finding the population of Elmore (x) and using the fact that Linton's population is 12 times that of Elmore's.
Explanation:
The question involves solving a proportion to determine the population of Linton, given that the population of Linton is 12 times as great as the population of Elmore and that their combined population is 9,646 people.
Let the population of Elmore be represented by x. Therefore, the population of Linton, which is 12 times greater than Elmore's, would be 12x. The combined population of Linton and Elmore, which is given as 9,646, can be represented by the equation:
x + 12x = 9,646
Simplify the equation:
13x = 9,646
Now, divide both sides of the equation by 13 to solve for x:
x = 742
Since we are looking for the population of Linton, we multiply x by 12
12 * 742 = 8,904
Therefore, the population of Linton is 8,904 people.
I add 20 to my number and subtract 17 from the new number. the answer is 37. what is my number?
Answers
i have to use 20 characters so i am typing this
The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been gettin greater. The amounts are normally distributed with a standard deviation of 0.2 ounces.
1. What percent of the time will you get between 5.6 and 6.4 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
2. What percent of the time will you get between 6 ounces and 6.2 ounces?
(a) 13.5%
(b) 34%
(c) 50%
(d) 95%
Answers
#2) B, 34%
Explanation
#1) The mean is 6 and the standard deviation is 0.2. 5.6 is 0.4 away from the mean; 0.4 is 2 standard deviations. 6.4 is 0.4 away from the mean; again, 0.4 is 2 standard deviations.
The empirical rule states that 95% of data will be within 2 standard deviations of the mean, so 95% is our answer.
#2) 6.2 is only 1 standard deviation away from the mean. However, this is only half of the percentage from the empirical rule, since we are only considering numbers larger than the mean. The empirical rule states that 68% of data will fall within 1 standard deviation from the mean, so we have
68/2 = 34%.
The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).
Explanation:The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.
For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).
For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).
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Hunter used the number sentence 5,329.07 – 4,015.69 = to solve this story problem. A baby blue whale at the aquarium weighs 5,329.07 pounds. A baby humpback whale weighs 4,015.60 pounds. How much lighter is the baby humpback whale than the baby blue whale? Which story problem could also be solved by using the number sentence 5,329.07 – 4,015.69 = ? A. A rancher bought some cattle for $5,329.07. Then she purchased 3 horses for a total of $4,015,69. How much did the rancher spend on all the animals? B. A flatbed truck carried 5,329.07 pounds of hay. The ranch hands unloaded 4,015.69 pounds of hay from the truck. How much hay was left on the truck? C. A rancher paid his ranch hands a total of $5,329.07 for the first week. He paid them $4,015.69 the next week. How much money did the rancher pay his ranch hands in the 2 weeks? D. There is 5,320.07 feet of fence bordering the north part of a ranch. There is 4,015.69 feet of fence bordering the southern part. How many feet of fence borders the ranch altogether? (ANSWER FAST)
Answers
11 more than a number q is negative 15
Answers
work : 11 + q = -15
q = -15 - 11
q = -26
The graph shows the number of public service announcements that a radio station played throughout the day. Public Service Announcements (PSAs) Aired. Which equation can be used to represent the number of public service announcements, y, in x hours?
Answers
it would be C. Y=4X
A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1/9, and the probability of randomly pulling out a strawberry candy is 3/9, what is the probability of randomly pulling out a pineapple candy?
A: 2/9
B: 3/9
C: 4/9
D: 5/9
Answers
Evaluate the expression. If necessary, round to the nearest hundredth. log(-2)
Answers
This is common logarithm to the base 10. What must be remembered here is that logarithm is not defined for zero and negative numbers. Logarithm can only be calculated for the positive numbers.
If you try find log(-2) or log of any negative number using calculator it will give you Math Error. So the answer to this question is Undefined.
Help please I need to get this right
Answers
Answer:
[tex] a_{n} = - 5 {( - 2)}^{n - 1} [/tex]
[tex]b = - 5[/tex]
[tex]c = - 2[/tex]
Margie has a $50 budget to purchase a $45 pair of boots. If there is an 8% sales tax rate, then how much under budget will Margie be.
Answers
Margie will be $1.40 under budget.
The expression 5(3 + 7) is a
sum.
product.
difference.
Answers
jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
Answers
Jamaal spent x minutes on guitar and y minutes on homework, and the inequality representing his total practice time is x + y ≥ 45.
Explanation:The student, Jamaal, spent x minutes practicing his guitar and y minutes on homework. The fact that he spent 45 minutes or more on both activities combined is represented by the inequality x + y ≥ 45. This inequality states that the sum of the time spent practicing guitar and the time spent on homework is equal to or greater than 45 minutes. To solve this inequality, you would ensure that when you add the minutes spent on each activity, the total does not fall short of 45 minutes, which is the minimum amount of time Jamaal has to spend on these activities.
The inequality representing Jamaal's total practice and homework time is x + y ≥ 45, meaning the total time spent on both activities is at least 45 minutes.
Explanation:Jamaal spent x minutes today practicing guitar and y minutes on homework. If the total time he spent on both activities is at least 45 minutes, the inequality that best represents his practice time is x + y ≥ 45. This inequality indicates that when you add the minutes Jamaal spent practicing guitar and doing homework, the sum should be equal to or greater than 45 minutes.
can someone help me find the volume
Answers
how many solutions are in the equation -(4x+7)= - 2+4x
Answers
-(4x + 7) = -2 + 4x
We're trying to solve for "x," so let's first simplify this equation.
**Remember : a negative times a positive is a negative!**
-4x - 28 = -2 + 4x
Now, we need to get "x" onto its own side of the equal sign.
So, let's add 28 to both sides.
-4x - 28 (+28) = -2 + 4x (+28)
Simplify.
-4x = 4x + (28 - 2)
Then, subtract 4x from both sides.
-4x - 4x = (28 - 2)
Simplify!
-8x = 26
Divide both sides by -8.
-8x ÷ -8 = 28 ÷ -8
Simplify.
x = -28/8
Simplify.
x = -14/4
Simplify again.
x = -7/2
So, because x has a solution, this particular equation only has 1 solution!
~Hope I helped~
evaluate |3t - n| if t =-3 and n=2
Answers
[tex] |3( - 3) - 2| [/tex]
[tex] | - 9 - 2| [/tex]
[tex] | - 11| [/tex]
[tex]11[/tex]
When t = -3 and n = 2, the value of |3t - n| is 11.
Explanation:To evaluate |3t - n| if t =-3 and n=2, we substitute the given values into the expression.
So, |3t - n| = |3(-3) - 2| = |-9 - 2| = |-11| = 11.
The value of |3t - n| when t = -3 and n=2 is 11.
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