Answer: 100
Step-by-step explanation:
[tex]\frac{90+100+110}{3}=\boxed{100}[/tex]
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+160x+150
Answer:
Answer below
Step-by-step explanation:
Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.
The equation of the path of a rocket is given that is y= x^2 + 153x + 98
We need to determine the time that the rocket will hit the ground.
Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.
Therefore, the value of y is 0.
Thus, -16x^2 +153x + 98 = 0
Now, the formula for finding the roots of the quadratic equation
ax^2 +bx +c = 0 is given as:
[tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}[/tex]
Comparing the expression with the standard form of the equation.
a = -16b = 153 and c = 98
By applying the formula there are two values are come that is,
x^1 = -0.602555
x^2 = 10.1651
Time can not be negative from any perspective.
Hence, the correct answer is 10.16 seconds.
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(Hope this helps can I pls have brainlist (crown)☺️)
A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.
Answer:
Step-by-step explanation:
2/8 inch = ¼ inch
1 ft = 12 inch
17(2(12) + 6¼) = 514¼ inches
provided a shear with zero kerf is used.
(1/4)^3 evaluate simplify
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.
[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,
[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and
Multiply on top: 1 × 1 × 1 = 1
Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64
Hence, [tex]\frac{1}{64}[/tex] is the product or simplified form.
Another way:
[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{1}{4}\right)^3[/tex]
[tex]=\frac{1^3}{4^3}[/tex]
[tex]1^3=1[/tex]
[tex]=\frac{1}{4^3}[/tex]
[tex]4^3=64[/tex]
[tex]=\frac{1}{64}[/tex]
Monique mother is 23 years older than Monique. The product of their ages is 518. How old are Monique and her mother?
Answer:
14 and 37
Step-by-step explanation:
[tex]x-y =23\\xy=518[/tex]
x= mother's age
y= Monique's Age
[tex]y=\frac{518}{x}[/tex]
[tex]x=23+y[/tex]
[tex](23+y)y=518[/tex]
[tex]23y+y^{2} =518[/tex]
[tex]y^{2} +23y-518=0[/tex]
[tex](y-14)(y+37)=0[/tex]
[tex]y=14[/tex] monica is 14 years old
The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]
Hope this helps
Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?
Answer:
54
Step-by-step explanation:
okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30 and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers then that's your answer
A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?
Answer:
The answer is C
Step-by-step explanation:
I got a 100% on edge
Answer:
The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."
Step-by-step explanation:
got it right on edge
can someone gimme the answer please
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
(x,y) -> (x , 1/4 y) .. vertical compression
Help help math please please
Answer:
8
Step-by-step explanation:
Identify the range of values for x.
Answer: Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
(2+i)(4-i)
Write it out in the form of a + bi
Can you guys help me out please?
Answer:
9+2i
Step-by-step explanation:
FOIL method, see attached pic
PHOTO ATTACHED PLEASEEEE HELPPPP!!!!!!!!!!
Answer:
15x^2-3x-1
Step-by-step explanation:
All we have to do is collect like terms and calculate! Hope this helps!
Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.
Uh numbers the answer is numbers
Answer:
x = 228
Step-by-step explanation:
Set up a proportion
57 houses / 40 seconds = x houses / 160 seconds
Cross multiply
9120 = 40x
Divide both sides by 40 to isolate x
x = 228
I hope this helped and please mark me as brainliest!
Pls help I’ll brainlest ASAP
Answer:
Slope: -1/4x
y-int: 2
Step-by-step explanation:
Please help me it’s due in 12 minutes also pls explain why
Please answer this, thank you so much
Answer:
second one
Step-by-step explanation:
Notice that there's a y intercept of 2 and an x intercept of -4
This means that the line has a positive slope of 1/2, which leaves us with
y<(1/2)x+2
If ^ ABC ≈ ^ DEC, what is the value of x?
Answer:
D. x=1
Step-by-step explanation:
4x-1=x+2
you cancel out the 1 by adding it to both sides so then it will be 4x=x+3
then subtract x by both sides then it will be 3x=3
then simplify then it will be x=1
help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether
There are total 12 games of ping pong with play altogether by girls.
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Total number of girls who play ping pong game after school = 4
And, Each girl play 3 games of ping Pong with each of the other girls.
Now,
Since, Total number of girls = 4
And, Each girl play 3 games of ping Pong with each of the other girls after school.
Hence, Total number of games of ping pong game with play altogether by girls is;
= 4 x 3
= 12
Therefore,
There are total 12 games of ping pong game with play altogether by girls.
Learn more about the multiplication visit:
https://brainly.com/question/2811940
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A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
A) The speed of the parachute in feet per second is; 198 ft/s
B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft
We are given;
Speed of parachute during freefall = 60 m/s
A) We are told that 1 m = 3.3 ft
Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s
B) Speed is now 198 ft/s
Time is 15 seconds
Formula for distance is;
Distance = speed × time
Distance = 198 × 15
Distance = 2970 ft
Read more about distance, speed and time at; https://brainly.com/question/3267354
What is equivalent to 10/100
Answer:
1/10
Step-by-step explanation:
10/100
Dividing both sides by 10
10 ÷ 10/100 ÷ 10
1/10
Hence,
10/100 is equivalent to 1/10
Answer:
Decimal: 0.1 (One tenth)
Fraction: 1/10
Percentage: 10%
Step-by-step explanation:
For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.
I Hope this Helps
valor de la incognita 9x+4 =5x+12?
Answer:
9x+4=5x+12
9x-5x=12-4
4x=8
x=2
Hey there!
Solve for x :
Answer :x = 2 ✅
Explanation:9x + 4 = 5x + 12
>> Substract 4 from both sides :
9x + 4 - 4 = 5x + 12 - 4
9x = 5x + 8
>> Substract 5x from both sides :
9x - 5x = 5x - 5x + 8
4x = 8
>> Divide both sides by 4 :
4x / 4 = 8 / 4
x = 2
Therefore, your answer is x = 2.
Learn more about equation :
https://brainly.com/question/20223429
I need help please I can’t fail this
Answer:
200
Step-by-step explanation:
200 - 35% = 130
130 + 70 = 200
A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!
Answer:
the answer is 4
Step-by-step explanation:
if y=21 the we substitute in the main equation
21=8x-11
8x=32
x=4
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
An office administrator earns $16 an hour, and she works 48 hours a week.
What is her weekly wage?
Answer:
768
Step-by-step explanation:
16x48= 768
Answer:
768
Step-by-step explanation:
you multiply 16 times 48 to find the weekly wage
Find an equation for the line below
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
12. Write a
multiplication number sentence that
matches the shading on the grid.
Remember,
each small square
is 1 hundredth.
I am giving away brainest
Answer:
the answer would be 5×1k=b
Please look at picture for question.
Answer:
I believe the blue dot is on -10
Step-by-step explanation:
Counting from zero by 2's
0, -2, -4, -6, -8, -10,...
Hope this helps! :)
Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]
Answer:
x = 3π/4, 5π/4
Step-by-step explanation:
cos(x+2π) = -√2/2, [0,2π]
cos(x)cos(2π)-sin(x)sin(2π) = -√2/2
cos(x) = -√2/2
x = 3π/4, 5π/4
Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).
Ax+2y=10 through the point (4,3)
Answer:
can you give more context to the question and I will answer it in the comments? thanks!
Answer:
Slope-intercept form y=10x-37
Point slope form y-3=10(x-4)
Step-by-step explanation: