Answer: 16
Step-by-step explanation:
[tex]x^2-8x+c[/tex]
Let's complete the square.
[tex]c=(\frac{b}{2})^2[/tex]
[tex]c=(\frac{-8}{2})^2[/tex]
[tex]c=(-4)^2\\ c=16[/tex]
The value c that completes the square for x²-8x+c is,
c = 4
We have to give that,
An equation is,
⇒ x² - 8x + c
Now, Complete the quadratic equation to square,
⇒ x² - 8x + c
⇒ x² - 2×2²×x + 4
⇒ x² - 8x + 4
⇒ (x - 2)²
Hence, The value c that completes the square for x²-8x+c is,
c = 4
Learn more about the quadratic equation visit:
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Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
Vanillas percentage is 26%
26% of 50 is 13
Chocolates percentage is 42%
42% of 50 is 21
21-13=8
Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.
In total, there are 50 students.
42% choose chocolate, hence:[tex]0.42(50) = 21[/tex]
That is, 21 choose chocolate.
The sum is 100%, hence the percentage that choose vanilla is:
[tex]x + 14 + 18 + 42 = 100[/tex]
[tex]x = 100 - 74[/tex]
[tex]x = 26[/tex]
26%, out of 50, hence:
[tex]0.26(50) = 13[/tex]
13 choose vanilla.
21 - 13 = 8.
8 more of Ursula’s classmates chose chocolate than chose vanilla.
To learn more about proportions, you can check https://brainly.com/question/24372153
All rectangles have four right angles. Which quadrilateral is always a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid
Answer:
a
Step-by-step explanation:
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Answer:
A
Step-by-step explanation:
BALLOON The angle of depression from a hot air balloon in the air to a person on the ground is 41°. If the person steps back 12 feet, the new angle of depression is 25°. If the person is 6 feet tall, how far off the ground is the hot air balloon?
Answer:
16.06 ft
Step-by-step explanation:
The figure is attached below.
In triangle ACB:
[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]
In triangle ADB:
[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]
Therefore equating both equations gives:
[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]
Therefore x = 11.5715*tan(41) = 10.06 ft
The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft
Can I drink some nice internet juice
Answer: Um sure you can
Ms.Sheppard cuts 1/2 of a piece of paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer:
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
Step-by-step explanation:
She cuts 1/2 of a piece of paper.
Of what was cut, she used 1/6 to make a piece.
What fraction of the sheet of paper does she use to make the flower?
A sixth of one half. So
[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]
She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.
Alicia buys a 8-pound bag of rocks for a fish tank. She uses 3 1/8 pounds for a large fish bowl. How much is left? (Rename the 8 pound bag of rocks. Then subtract to find the correct answer.)
Answer:
4 7/8
Step-by-step explanation:
Total pound=8
Total used=3 1/8
Leftover=?
8-3 1/8
=8-25/8
L.C.M of 8 and 25/8 is 8
=.64-25 /8
=39/8
=4 7/8
A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
Step-by-step explanation:
For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
sallys cup cake shop sold a total of 63 cupcakes yesterday and 32 of those had sprinkles how many cupcakes were sold without sprinkles
Answer:
31
Step-by-step explanation:
63-32=31
Which term best describes two events that together include all of the outcomes in the sample space
a) Complementary
B) Unlikely
C) Independent
D)Disjoint
Answer:
Complementary
Step-by-step explanation:
When 2 things are complementary, they take up all given space.
When it's unlikely, it isn't all probability
Independent means they don't affect each other.
Disjoint means mutually exclusive.
What’s the answer????
Answer:
B. b = (24 x 16) - 8
Step-by-step explanation:
I chose this answer because there are 24 boxes with 16 baseballs in each of them. Pedro only used 8 of these baseballs, which means he didn't use (24 x 16) - 8 balls.
If this answer is correct, please make me Brainliest!
The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trail head that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trail head and the summit?
(1 foot =0.3048 meters) *
A. 1868 ft
B. 569 ft
C. 6,128 ft
D. 6,129 ft
Answer:
D
Step-by-step explanation:
Firstly, to answer this question, we need to calculate the change in elevation.
Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.
To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.
Mathematically that would be 4,418 - 2,550 = 1,868 meters
Now our answer need be in foot. we have a conversion system given in the question already.
1 foot = 0.3048 meters
x foot = 1,868 meters
x = 1,868/0.3048
x = 6,128.6 feet which is approximately 6,129 feet
I need help pls answer as fast as posible
Answer:
1/8
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
divide 6/42
Write a real-world problem that could be solved with the inequality 23m + 4 > 96 Solve the problem with work shown. Write a sentence that explains the solution using the context from the real-world problem.
Answer:
The given inequality is
[tex]23m + 4 > 96[/tex]
Where [tex]m[/tex] represents minutes.
A problem that can be modeled by this inequality is:
Lucy earn $23 per minute, with an extra $4 due to punctuality, which must give more than $96 a day so she can make a living with that job. How many minutes does she need to work?
To solve the problem, we just solve the expression for [tex]m[/tex]
[tex]23m +4 > 96\\23m > 96-4\\23m > 92\\m > \frac{92}{23}\\ m > 4[/tex]
Therefore, Lucy needs to work more than 4 minutes in order to make a living with that job.
Frankie puts £4000 in a bank account for 5 years with a 7.5% rate of interest. How much will be in the
account at the end of that time?
Answer:5500
Step-by-step explanation:
There are eight black socks six blue socks and 14 White Socks in a drawer if one sock is randomly chosen from the drawer than what is the probability that the sock Will not be blue?
Answer:
22/28 = 11/14
Step-by-step explanation:
no of socks other than blue = 22
total no of socks = 28
so probability= 22/28 = 11/14
Answer:
22
Step-by-step explanation:
8 black 6 blue and 14 white is equal to 28
and if 6 are blue the rest are not so 6-28=22
a box cost $2.48, but it is on sale for $1.49. How much do you save on one box when bought on sale? Now how much would you save if you bought a second box?
Answer:
1. $0.99
2. $1.98
Step-by-step explanation:
1. From the question we have
Cost of box = $2.48
Selling price = $1.49
That is the box is discounted from $2.48 to $1.49
Therefore, amount saved = $2.48 - $1.49 = $0.99
2. The amount saved from buying a second box is hence;
2 × $0.99 = $1.98
Hence, as the number of boxes bought increases, the amount saved increases
Answer:
The answers to both questions are
1. You save $0.99 on the box when it is purchased on sale
This is calculated by subtracting on-sale price from pre-sale price:
$2.48-$1.49 = $0.99
2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:
$0.99 x 2 (boxes)
$0.99 x 2 = $1.98
Cheers!
1 3 4 21
+ = + =
7 4
Answer:
i tried so i hope this helps you
Find the surface area of the prism.
Answer: ph+2b
Step-by-step explanation:
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
I need help with this, I don't understand how to do this.
Carlos needs 1.7 meters of wire for one project and 0.8 meters of wire for another project shade the model to represent the total amount of wire Carlos needs each full row represent 1.0 meters
Answer:
Step-by-step explanation:
Given that ;
Carlos needs 1.7 meters of wire for one project &
0.8 meters of wire for another project
we are to shade the model to represent the total amount of wire Carlos needs .
NOW;
For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire = 2.5 meters of wire
In the attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.
Smh, what is this. If you answer this, please add a prove it statement. Thank you.
A circular table top has an area of 324 square inches. Which
measurement is closest to the radius of the table top in inches?
Answer:
10 inches (10.19)
Step-by-step explanation:
He volume V (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 770 cubic feet. Round your answer to the whole number.
Answer:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Step-by-step explanation:
For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:
[tex] V = 5 \pi r^2 [/tex]
And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:
Answer:
The median is NOT the same thing as a quartile.
The median is a measure of center.
(9+m)(-m+9) in standard form
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
HELPPPP!!!
Answer:
0.6
Step-by-step explanation:
Given that the spinner has 5 equal sections numbered 1 to 5.
Total Sample Space, n(S)=5Multiples of 2 in 1 to 5 are: {2,4}
Number less than than 3 are:{1,2}
Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.
{2,4} [tex]\cup[/tex] {1,2} ={1,2,4}
Number of Outcomes=3
Therefore,
Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3 [tex]=\dfrac{3}{5}=0.6[/tex]
what is a = 1/2 (b-c) if b is the subject
Answer:
b = 2a + c
Step-by-step explanation:
Given
a = [tex]\frac{1}{2}[/tex] (b - c)
Multiply both sides by 2 to clear the fraction
2a = b - c ( add c to both sides )
2a + c = b
i need help answering
Answer:c
Step-by-step explanation:
what is the perimeter of a semi-circle with a diameter of 14 units
Answer:
35.98
Step-by-step explanation:
To find the perimeter take 1/2 of the circumference plus the length of the diameter
P = 1/2 * pi *d + d
=1/2 pi 14 +14
= 7pi +14
Letting pi = 3.14
7(3.14) + 14
21.98 +14
35.98
