Answer:
112.5 ftStep-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
x = - 15/(-0.5*2) = 15The maximum height is the corresponding y- coordinate
y = - 0.5(15²) + 15(15) = 112.5 ftFind vertex
x coordinate
-b/2a-15/-115Y coordinate (Max height)
y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ftIf C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?
Answer: 34
Step-by-step explanation:
since the line is cut in half the sides equal
therefore
4x-7 = 2x+5
solve for x
4x = 2x + 12
2x = 12
x = 6
plug into either equation as they are both the same
4(6) - 7 = 17
if one half is 17 then the other half is 17
add the halves for the full line segment AT
AT = 17 + 17 = 34
What is the quotient of the division below? 96 divided by 3 = 13 23 31 32
Answer:
The answer is 32
Step-by-step explanation:
9/3=3 6/3=2 32
What is the area of the the figure?
Answer:
830 yd
Step-by-step explanation:
Theres a few ways you can do this but I'll show you one of the easeist way for solving this problem.
You can slipt this figure into 2 rectangles by just cutting the small rectangle out (the one thats kind of sticking out)
Then, all you have to do is find the area of both rectangles and add them together.
For the big rectangle : 20x40 = 800
For the little rectangle : 30x10 = 30
Add all togther:
800 + 30 = 830 yd
Hope this helps :)
find four rational number between -1/7 and 2/7...
Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.
======================================================
Rational numbers between -1/7 and 2/7 : -
-0.1-0.0500.050.10.150.20.25Make a number line and find the numbers between the two given numbers.
Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.
Answer:
3950
Step-by-step explanation:
-50 + (-44) + (-38) + 2038 + 2044
-94 + (-38) + 2038 + 2044
-132 + 2038 + 2044
1906 + 2044
3950
Hope this helps :)
Solution:
348950
Explanation:
first lets confirm, which series this is from,( first term + third term )/2 = second term
(-50 + (-38) )/2 = -44-44 = -44Thus it is arithmetic series.
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
Solving step-wise:
a₁ = -50aₙ = 2044n = ? = 350d = + 6=================
aₙ = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350Here,
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]
[tex]\sf S_n =348950[/tex]
Diego has budgeted $80 from his summer job earnings to buy gear for baseball. He needs a new mitt and new baseballs. The
mitt he wants cost $38. Each pack of baseballs cost $3.50.
A. Write an inequality that represents x, the number of packs of baseballs, that Diego can buy if there is no tax.
Answer:
X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2
Step-by-step explanation:
coronita plisss
According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2.
Answer:
i did this on study island
Step-by-step explanation:
In a school, 5/8 of the students are boys. If there are 240 girls, find the number of boys in the school.
Answer:
400 boys
Step-by-step explanation:
First use the fraction along with the given information (240 girls)
If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80
80 multiplied by 5 = 400
There are 400 boys in the school. (640 total students in school)
Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8
Hope this helps :)
UREGENT!!!! HELP NEEDED !!! QUICKLY!!! FAST!!!!
You spend a $20 per turn on a fair game to win $40 for each win. You win the first two rounds and lose the third one.
What was the net payoff?
$20
$120
-$60
$140
Answer:
I think 20 is the answer tho I might be wrong
Triangle JKL has vertices J(-4, 4), K(-1, 3), and
L(-2, 1). Graph the figure and its rotated image after a
clockwise rotation of 90° about the origin. Then give the
coordinates of the vertices for triangle J'K'L'.
K
o
NO LINKS
Answer:
J(0,6)
K(-1,3)
L(-3,4)
Step-by-step explanation:
Isaiah earned a score of 61 on Exam A that had a mean of 78 and a standard deviation
of 10. He is about to take Exam B that has a mean of 200 and a standard deviation of
50. How well must Isaiah score on Exam B in order to do equivalently well as he did
on Exam A? Assume that scores on each exam are normally distributed.
Answer:
isaiah must get a score of 115
help me bro fr i need dis done
Answer: 6^5 = 6^3 * 6^2
When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?
Answer:
24 inches120 inchesStep-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
__
Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
Choose all numbers that are greater than 12%
CHECK
1/8
1/12
23/200
7/50
15%
0.025
Answer:
1/8, 7/50, 15%,
Step-by-step explanation:
I asked siri
Round 67.34 to the nearest tens place
A. 68
B. 67
C. 70
D. 60
Answer:
67 because it is closer to 67 than other options
Answer:
67 B
Step-by-step explanation:
Find the missing angle.
Answer:
36 degrees
Step-by-step explanation:
well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.
A pattern of dots is shown below. At each step, more dots are added to the pattern. The pattern continues indefinitely. How many dots would be found in the 30th step? Explain a rule that you could use to find the number of dots in any given step.
Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.
Then, the number of dots in the nth step is given by:
[tex]a_n = 2 + 3(n - 1)[/tex]
In the 30th step, the number will be given by:
[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
Determine the equation of the line shown in the graph:
10
-8 -6 -4 -2.
-
I
y = -1
y = 0
Ox=-1
X=0
Answer:
X=-1
Step-by-step explanation:
As you can see the line is not intercepting at y also
find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answer:
option 4
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
BC² + AC² = AB² , that is
a² + 48² = 60²
a² + 2304 = 3600 ( subtract 2304 from both sides )
a² = 1296 ( take square root of both sides )
a = [tex]\sqrt{1296}[/tex] = 36
Answer:
[tex]hypotenuse {}^{2} = opposite {}^{2} + adjacent {}^{2} \\ let \: adjacent = x \\ 60 {}^{2} = {48}^{2} + {x}^{2} \\ {60}^{2} - {48}^{2} = {x}^{2} \\ 3600 - 2304 = {x }^{2} \\ 1296 = {x}^{2} \\ x = \sqrt{1296} \\ x = 36[/tex]
Find the volume - PLSS HELPP AND HURRY PLS
Answer:
264
Step-by-step explanation:
(11 x 6)/2 x 8 = 264
B x h = V
can someone please help me with this question
Answer:
B. 15 inches
Step-by-step explanation:
you multiply 6 x 5 since those are the dimensions of the triangles which equals 30 then you divide by 2 to get an answer of 15
Answer:
i would say A. 10in
Step-by-step explanation:
Use the number line below to determine which of the following answer choices has statements that are all true.
Answer:
1st option, and 4th option
Step-by-step explanation:
Is it select one, or select all that are correct?
Which of the following is biased?
a) the probability pulling a red marble from a bag with 10 red marbles 18 blue marbles and 6 green marbles
b) the probably of rolling a five on a
single die
c) the probability of drawing and ace from a standard deck of cards
d) the probability of getting heads from flipping a coin
Answer:
D
Step-by-step explanation:
Got it right on edge 2022
Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar
Answer:
Right rectangular prism
Solve for surface area
A=100
l Length
7
w Width
4
h Height
2
Solution
A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100
Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?
16. Twelve inches is what percent of a yard?
Answer:
There are 3 feet in one yard, so each foot is 1/3 of a yard/
To find the percentage of each foot, divide 1 by 3
One foot is 33 1/3 percent of a yard.
Twelve inches is 33.33 percent of a yard.
What is Percentage?Percentage is defined as a number that can be expressed as a fraction of 100.
The statement is
Twelve inches is what percent of a yard
12 inches in terms of % yard
1 inch = 0.0277778 yard
12 inches = 0.333336 yard
In percentage = 33.33 % yard
To know more about Percentage
https://brainly.com/question/13450942
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Mrs. smith has $1500 in a retirement account earning 5% interest. each year she makes an additional deposit of $500 to her account. after 3 years, what would her account balance be?
Answer:
$3,312.69
Step-by-step explanation:
What she started with: $1500
Year 1: 1500 + 1500(.05) + 500 = $2,075
Year 2: (2.075)1.05 + 500 = $2,678.75
Year 3: (2678.75)1.05 + 500 = $3,312.69
How many centimeters is 0.2 meters
Answer:
there are 20 centimeters in 0.2 meaters
Answer:
1 meter = 100 centimetres
0.2(meters) x 100(centimetres that make up 1 meter)
= 20 centimetres.
please help fast it is due
Answer:
25
Step-by-step explanation:
use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25what is the angle of BTC, Angle TBC,Angle TCB
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
How to determine the angles of a triangle inscribed in a circle
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823