Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y = negative 2 x squared + 7 x + 4
a.
( 1.75, -2.125)
c.
( 1.75, 10.125)
b.
( 1.75, 4)
d.
( -1.75, 10.125)
Given:
The equation of a parabola is:
[tex]y=-2x^2+7x+4[/tex]
To find:
The vertex of the graph of the given equation by using a graphing calculator.
Solution:
We have,
[tex]y=-2x^2+7x+4[/tex]
By using the graphing calculator, draw the graph of the given equation as shown below.
From the below graph it is clear that the function is maximum at point (1.75,10.125).
So, the vertex of the given equation is (1.75,10.125).
Therefore, the correct option is c.
WILL MARK FOR BRAINIEST!!!!
Find the area of the composite shape.
I need help with these two problems ASAP. Please show your work:)
The formula for the circumference of a circle is [tex]\pi d[/tex].
In a:
The radius is 8 cm.
Therefore the diameter (d) would be 16cm (8 * 2)
Hence, the circumference is [tex]16\pi[/tex]
In b:
The diameter is already given: 13 in.
Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)
11 to the power of negative 4 / 11 to the power to 8
Answer:
11^-12 or 11 to the power or negative twelve
Step-by-step explanation:
11^-4 / 11 ^ 8
according to the laws of indices, when dealing with powers, division is subtraction. so:
-4 - 8 = -12
answer = 11^ -12
Answer:
Hello There!
Your answer is:
2.2This is rounded, since you get this: 2.2094836e-42If this helps, please give me a thanks!!
- abakugosimp
During a sale, a dress is marked down from a selling price of $90 to a sale price of $72. What is the percent markdown?
Answer:
20 %
Step-by-step explanation:
Help asap! No links or weird answers, please :(
The question and answer choices are in the picture below. The question is about scatter plots.
Answer: b
Step-by-step explanation:
im guessing
I need Help please!!
“28 is 40% of what number?” i got 70, is that correct?
Answer:
70
You got it correct :)
Step-by-step explanation:
[tex]\frac{28}{y} =\frac{40}{100}[/tex]
y × 40 = 100 × 28
40y = 2800
40y ÷ 40 = 2800 ÷ 40
y = 70
I really need help please I’ll mark Brainlest
If the three lengths form a triangle, then determine if the three lengths form an acute, right, or obtuse triangle. Show your work.
Answer: Acute Triangle.
Step-by-step explanation:
3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.
An acute triangle is less than 90 degrees so this an acute triangle.
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates and 11 diplomas how many have a school certificate only
Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
[tex]n(A)=14[/tex]
[tex]n(B)=11[/tex]
[tex]n(A\cup B)=20[/tex]
We know that,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=14+11-n(A\cap B)[/tex]
[tex]20=25-n(A\cap B)[/tex]
Subtract both sides by 25.
[tex]20-25=-n(A\cap B)[/tex]
[tex]-5=-n(A\cap B)[/tex]
[tex]5=n(A\cap B)[/tex]
We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].
[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]
[tex]n(A\cap B')=14-5[/tex]
[tex]n(A\cap B')=9[/tex]
Therefore, 9 people have a school certificate only.
20 m
12 m
b
What is the perimeter?
meters
Answer:
if length is 20 and width is 12 then the perimiter is 64
Step-by-step explanation:
Can someone pls help me! Pretty sure my teacher hates me, and she won’t help me with these!
Answer:
5. 43.98 (if not rounding pi, if rounding pi it is 43.96)
6. 201.06 (if not rounding pi, if rounding pi it is 200.96)
7. 72.8
8. 84
9. 3.6
10. 140
11. C
12. 12.6
Step-by-step explanation:
5. C=2*pi*r
6. A=pi*r^2
7. angles in triangle must add up to 180
8. A=bh
9. radius is half of diameter
10. A=(hb)b/2
11. A=pi*r^2
12. radius is 1/2 of diameter
6/4.2 = n/7
What is the value of n
Giving a brainliest
Also dont do one of those link answers or I will report you
Step-by-step explanation:
Given
6/4.2 = n/7
Cross multiply
6* 7 = 4.2n
4.2n = 42
n = 42 / 4.2
n = 10
Hope it will help :)❤
Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
Which of the following has the smallest probability?
(a) Pt > 2) ift has 5 degrees of freedom.
(b) P(t > 2) ift has 2 degrees of freedom.
(C) PC: > 2) ifz is a standard Normal random variable.
(d) Pt <2) ift has 5 degrees of freedom.
(e) Plz < 2) if z is a standard Normal random variable.
The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.
What is a z-core?A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.
Read more on z-scores here: https://brainly.com/question/4302527
The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
How much change should sara receive from the $10 bill?
Answer:
$3.56
Step-by-step explanation:
mark me brainlest please
Answer:
3.56
Step-by-step explanation:
First you wanna add the prices of all the food so its
Two Eggs= 3.38
Slice of Bacon= 1.49
Orange Juice= 1.09
Add All then you get 5.96 and add sales tax so you get 6.44
The Subtract 10.00 - 6.44 = A/3.56
Nathan made cookies for Remembrance Day. He made 2 2/3 dozen chocolate cookies, 1
dozen peanut cookies, and 2 1/2 dozen oatmeal cookies. If he puts the same number of each
cookie in each bag and has no cookies left over, what is the largest number of bags he can fill?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer should be A I think
The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?
Answer: 26 13/30 feet
Step-by-step explanation:
The hall is in the shape of a rectangle. The perimeter of a rectangle is:
= 2(length + width)
= 2l + 2w
Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:
Perimeter = 2l + 2w
71⅔ = 2l + 2(9 2/5)
71 2/3 = 2l + (2 × 47/5)
71 2/3 = 2l + 94/5
71 2/3 = 2l + 18 4/5
Collect like terms
2l = 71 2/3 - 18 4/5
2l = 71 10/15 - 18 12/15
2l = 52 13/15
l = (52 13/15 ÷ 2)
l = 793/15 × 1/2
l = 793/30
l = 26 13/30
Therefore, the length is 26 13/30ft
The lengths of a certain species of fish are approximately normally distributed with a given mean ll and standard
deviation. According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation
of the mean?
-34%
-47.5%
-68%
-99.7%
The percentage of fish which will have the lengths within 1 standard deviation of the mean is 68%.
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
According to empirical rule,
68% of the data lies in the standard deviation of ±1.
95% of the data lies in the standard deviation of ±2.
99.7% of the data lies in the standard deviation of ±3.
Given,
The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.
According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.
Hence the required percentage is 68%.
Learn more about Empirical Rule here :
https://brainly.com/question/30700783
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i need help asap i wil mark brainliest if you get these for me pls
Answer:
5. 32 6. Don't know
Step-by-step explanation:
Find the value of x and y. Triangle MNP = triangle TUS
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, that is
∠ U = ∠ N
∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
Learn more : https://brainly.com/question/8317316
1. Which of the following natural numbers are perfect squares? Give reasons in support
of your answer.
(i) 729
(ii) 5488
(iii) 1024
(iv) 243
Answer:
729 and 1024
Step-by-step explanation:
If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.
Have a Great Day!
Amelia can spend no more than $90 per day to rent a car. A car rents for $35 per day plus $0.22 per mile. How many miles can Amelia drive without going over her budget?
Which of the following inequalities best represents the given scenario?
A. 35+0.22m≤90
B
35m+0.22≤90
C
35+0.22m≥90
D
35m+0.22≥9
Answer:
c
Step-by-step explanation:
The volume of a cylinder is 720π cm3. The height of the cylinder is 20 cm. What is the radius of the cylinder?
Answer:
Radius = 3.38 cm
Step-by-step explanation:
Here's your solution
=> The volume of cylinder = 720π cm^3
=> The height of cylinder = 20 cm
=> Radius = ?
=> Formula of volume of cylinder = πr^2h
=> 22/7 * r^2 * 20 = 720π cm^3
=> r^2 = (720*7)/20*22
=> r^2 = 11.45
=> r = √11.45
=> r = 3.38 cm
hope it helps
A car wash attendant counted the number of cars washed and the total amount of money earned. The
company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275
for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of
dollars earned, m.
Answer:
total=n÷m $165÷15,$231÷21 and $275÷25
determine whether a triangle with given side lengths will be a right triangle?
19.5,12,13
20.8,15,17
21.2,4,7
22.7,24,25
23.3,9,10
24.12,13,25
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years. How much is the total she pays? How much is the interest?
Answer:
$1688.26
interest= $188.26
Step-by-step explanation:
8. A going out of business sale has the entire store marked 80% off. Which of the following is equivalent to
80%?
F.
3
4
G. 0.08
4
H
J. 8.0
ANSWER IF YOU CAN AND AS FAST AS YOU CAN NO LINKS!!!!!!! PLEASE HELP
Answer:
G. 0.08
Step-by-step explanation:
It is actually 0.8 but putting a zero before 8 is fine.
0.0008=0.8
0.8000=X