Step-by-step explanation:
The vertex form of a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as
[tex]y = a(x - 3)^2 + 3[/tex]
We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:
[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]
or
[tex]a = -4[/tex]
Therefore, the vertex form of the equation for the parabola is
[tex]y = -4(x - 3)^2 + 3[/tex]
If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
PLEASE HELP ME ASAPPPPPPPPPPPPPPPPPPPPP
PLEASE HELP! DUE SOON (also include the check if you can) *I’ll give brainiest*
Answer:
x=24
Step-by-step explanation:
0.22(x+6)=0.2x+1.8
simplify the given equation
0.22x+1.32=0.2x+1.8
shift same kind of variables on one side
0.22x-0.2x=1.8-1.32
0.02x=0.48
For x
x=0.48/0.02
x=24
Check:
For checking subsitute the calculated value x if both sides of x are equal then its true...
0.22(24+6)=0.2(24)+1.8
5.28+1.32=4.8+1.8
6.6=6.6
In triangle ABC, AC = 6, AB = 7, and BC = 5. Which is true?
A) The measure of Angle C is the greatest of the three angles.
B) The measure of Angle C is the least of the three angles.
C) The measure of Angle B is the least of the three angles.
D) The measure of Angle B is the greatest of the three angles.
angle A and angle B are complementary. Find angle A and angle B.
angleA = (3x + 46)°
angleB = (x − 4)°
Answer:
Angle A is 82
Angle B is 8
Step-by-step explanation:
Complementary means they add to 90 degrees
3x+46+x-4=90
4x+42=90
4x=48
x=12
Angle A is 3(12)+46= 82
Angle B is 12-4=8
82+8=90
Please help me! Please! I am so lost! Pythagorean Theorem!
(The prism said to have an equilateral triangle base has the measurements shown)
Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?
Answer:
Part A- yes, because all 3 sides are Equal (each side is 5)
Part B- yes, each rectangle has the dimensions 12*5
Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90
Part D- [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]
Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]
the area would be [tex]48\sqrt{2}[/tex]
Step-by-step explanation:
n2−8=7n solve by factoring
Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.
A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380
Answer: for plato users
D. 341 and 375
Step-by-step explanation:
I just took the test
The approximate 95% confidence interval for Swapna's page views is [341, 375].
What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:Confidence interval = mean ± Z * (standard deviation/ √sample size)
For given question,
Sample size = 40
Sample mean = 358
Standard deviation = 54.3
Critical value at 95% confidence level= 1.96
Confidence interval = 358 ± 1.96 * (54.3/ √40)
= [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]
= [341, 375] (approximately)
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Part A
Sara is making 3 batches of chocolate chip cookies and 3 batches of oatmeal cookies. Each batch of chocolate chip cookies uses 2 1/4 cups of flour. She will use 12 3/4 cups of flours of flour for all six batches.
Part B
Determine how many cups of flour are needed for each batch of oatmeal cookies.
Answer:
17 / 8 cups of flour
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Help on this one please Thanks so much
Answer:
AD is one-fourth the length of CE
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLP
Answer:
7.)[tex]\frac{1}{2}[/tex]
8.) [tex]\frac{1}{8}[/tex]
9.)[tex]\frac{1}{3}[/tex]
10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]
I should know, I finished this like, a month ago?
What volume of 1M HCI would be needed
to neutralize 50mL of 1M Ca(OH)2?
Answer: 100
Step-by-step explanation: BRAINLIEST
Find the volume..
Pleaseeeee helppp being timed
Answer:
The right answer is 125.6
Answer:
A. 502.4
Step-by-step explanation
I need them all in about five minutes, please help me no BS I’m giving you 50 points.
Answer: 1 is 5.7
2 is 21.75
3 is 8.8
Step-by-step explanation:
here ya go
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answer:
bro i didt undersated the question
Step-by-step explanation:
Sally is building a fence. She needs 234 inches of fencing material. How many yards of fencing material does she need?
Answer:
6.5 yards
Step-by-step explanation:
1 yard = 36 inches
234/36 = 6.5
Which statements must be true to model a data set using a normal distribution?
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato/Edmentum
A rectangle garden is 30 feet wide if its area is 2700 ft.² what is the length of the garden?
Answer:
The answer is 90
Step-by-step explanation:
A= L*W
so when you are given the are and the width you need to divide the area by the width to find the length
Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?
Answer:
451 feet tall
Step-by-step explanation:
3*12=36
36+5=41
41*11= 451
find the median of the data 74,78,86,67,80, the mean is... the median is... find the modes of the data 67,74,77,78 or there is no mode
Answer:
data set one (74, 78, 86, 67, 80):
the mean is 77.
The median is 78
data set two (67, 74, 77, 78):
there is no mode
Step-by-step explanation:
i hope this helped<33
(2,2) m = -3
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
You toss a coin in the air and it lands on the table. What is the probability that it lands on heads? *
Answer:
Hi! The answer to your question is D. 0.5
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
Stay Safe!!!
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A deck of cards has 52 cards. There
are 4 suits, diamonds, hearts, clubs
and spades. Each suit has 13 cards.
What is the probability that I will
randomly pick a King?
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
20 points! Please help
A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?
A.
0.026
B.
0.46
C.
17.32
D.
2.20
Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:
B. 0.46
What does the Central Limit Theorem State?It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:
[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]
Hence option B is correct.
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According to a candy company, packages of a certain candy contain 21% orange candies.
Find the approximate probability that the random sample of 500 candies will contain 22% or more orange candies.
Using a normal approximation, what is the probability that at least 22% of 500 randomly sampled candies will be orange?
Answer:
vvvvvvvvvvvvvvvvvvvvvvv v v v v
Which expression has a solution of 27, if r = 3? 8 r 6 r 9 r 7 r
Answer:
8r.
Step-by-step explanation:
If we substitute 3 into all of these equations, we get
8(3) which equals 24
6(3) which equals 18
9(3) which equals 27
7(3) which equals 21
8r is the one that equals 24 when 3 is substituted.
What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?
Answer:
[tex]d = 1.2973\pi r^3[/tex]
Step-by-step explanation:
Given
[tex]R_1 = r[/tex]
[tex]R_2 = 0.3[/tex]
Required
The difference in their volumes
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, the difference d is:
[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]
[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]
[tex]d = \frac{3.892}{3}\pi r^3[/tex]
[tex]d = 1.2973\pi r^3[/tex]
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
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giving brainliest!! *easy*
Surface area is 1256.64
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
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