Answer:
444mStep-by-step explanation:
Given the height of the rocket modelled by the equation;
y=-16x^2+152x+83
The rocket reaches its maximum height when the velocity of the rocket is zero.
Since velocity is the change in displacement with respect to time;
velocity v = dy/dx
dy/dx = -32x + 152
at dy/dx = 0
-32x + 152 = 0
-32x = -152
x = -152/-32
x = 4.75s
To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;
y(4.75) = -16(4.75)^2+152(4.75)+83
y(4.75) = -361+722+83
y(4.75) = 444m
Hence the maximum height reached by the ball is 444m
Write a piecewise function for the graph.
Similar to Modulus, but It's separated.
Since both are separated, that means - they are both linear function.
The range is greater than all negative numbers. That means y ≥ 0
( 1 ) For the blue graph,
y = -x-3 {y ≥ 0} ---------- Blue Graph Answer
-x-3=0
-x=3
x=-3
We can clearly see that the slope is -1.
And intercept x-axis at (-3,0)
( 2 ) For the red graph.
y = 2x+6 { y ≥ 0} ---------- Red Graph Answer
Notice that the slope is 2.
And intercept x-axis at (-3,0)
Also intercept y-axis at (0,6)
2x+6=0
2x=-6
x=-3
---------- Only linear function with given y ≥ 0 can draw that. (Only separated graph.) --------------
Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ?
Please help I don't understand this and I don't want to fail!!!
Answer:
8 is the hypotenuse.
sen(angle) = x/8
sen60 = x/8
0.87 = x/8
0.87·8 = x
x = 6.96
I have 5 digits. My q is worth q * 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am l
Answer:
92,776
Step-by-step explanation:
I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?
My 9 is worth 9*10,000 = 9 * 10,000
= 90,000
My 2 is worth 2 thousand = 2,000
One of my 7s is worth 70 = 70
The other is worth 10 times as much = 70 * 10
= 700
My other digit is a 6 = 6
The number is
90,000 + 2,000 + 700 + 70 + 6
= 92,776
PLZ HELP!
What is the domain and range for the function graphed to
the left?
Answer:
Domain: (-∞, ∞)
Range: (-∞, -3]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.
We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.
Step-by-step explanation: The range of a function
is the set of all y values of the function.
The y values on a coordinate system are the up and down values.
Our parabola is expanding infinitely downwards but
it never goes above the y value of -3.
So we say that the range of this function is {y: y ≤ -3}.
The domain is the set of all x values or left and right values.
Since it's expanding infinitely to the left and right,
we say that the domain is the set of all real numbers or R.
The perimeter of a rectangle
is 44. The lenght is 5 less
than double the width.
Find the dimensions.
Answer:
9,13
Step-by-step explanation:
perimeter=2(x+y)
length = 2x-5
2(3x-5)=44
6x-10=44
6x=54
x=9
y=13
Hope this helps plz mark brainliest :D
The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
i am trying to remember how to do Write a two-column proof,
Given: a = 2b + 6
a = 9b - 8
Prove: b = 2
9514 1404 393
Explanation:
Make use of the properties of equality.
a = 2b +6 . . . . . given
a = 9b -8 . . . . . given
2b +6 = 9b -8 . . . . . . . substitution property of equality
6 = 7b -8 . . . . . . . . . . . subtraction property of equality
14 = 7b . . . . . . . . . . . . . addition property of equality
2 = b . . . . . . . . . . . . . . . division property of equality
b = 2 . . . . . . . . . . . . . . symmetric property of equality
Tom woke up one morning and the temperature was −6° Celsius. The high temperature that day was 6° Celsius. What was the difference between the low temperature and the high temperature that day?
Answer:
12˚C
Step-by-step explanation:
If the high temperature is 6˚ and the low temperature is -6˚, the difference is
6˚-(-6˚)
=6˚+6˚
=12˚.
Mass = 65 kg
Acceleration = 0.3 m/s2
Force =
Answer: 19.5 N
Step-by-step explanation:
Answer:
The answer is 19.2N
Step-by-step explanation:
F=m a
F=64*0.3=19.2N
A retail store is having a sale on toilet paper. At 2:00 PM, the
store had sold a total of 15 packs of toilet paper. At 5:00 PM,
the store had sold a total of 57 packs.
Assuming that it is positive, what is the average rate of change
between 2:00 PM and 5:00 PM?
Answer:
14.25 packs per hour
Step-by-step explanation:
it is 4 hours from 2:00-5:00 so... 57÷4=14.25 packs per hour
The average rate of change between 2:00 PM and 5:00 PM will be 14 packs per hour.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. The term "rate of change" refers to the pace at which one quantity changes with respect to another.
Given that, a retailer is offering discounted toilet paper. The shop sold a total of 15 packs of toilet paper around 2:00 PM. The shop has sold 57 packets as of 5:00 PM.
The average rate of change between 2:00 PM and 5:00 PM is obtained by taking the ratio of the change to the number of packs sold to the time elapsed as,
=( 57 - 15 ) / 5 - 2
=42 / 3
= 14 packs per hour.
Thus, the average rate of change between 2:00 PM and 5:00 PM will be 14 packs per hour.
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ2
In this quilt pattern, the 16 smallest triangles are congruent, isosceles right triangles. If AB = 10 inches, what is the total area of the 8 shaded regions?
Answer:
Step-by-step explanation:
100. if you do each shaded square it'll be 5 by 5. 5 by 5 divided by 2 is 12.5. Times that by 8 is 100
Answer:
100
Step-by-step explanation:
Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?
Answer:
BODMAS
Step-by-step explanation:
BODMAS is correct.
Brackets
Of
Division
Multiplication
Addition
Subtraction
(02.07)
Plssss Help me this is die in a hour
Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters)
Answer:
154.94 cm or 155 cm rounded to the nearest tens
anyone help please?
i’m confused.
segment and angle bisectors.
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
Answer:
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13
Step-by-step explanation:
Given that a = -1, b=2 and c= -3
find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])
Just substitute the values given for each variable
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;
a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1
Zuri quickly solved the problem and told her team, "Hey! I go it m\large \angleA = 93°, m\large \angleB = 63°, m\large \angleC = 36°. Done!" Mikaya and Olivia are suspicious. Does Zuri have the correct answer, or are Mikaya and Olivia correct to be suspicious? Explain completely. Be clear, specific, and detailed.
Answer:
Mikaya and Olivia are correct to be suspicious
Step-by-step explanation:
Sum of the angles of a triangle is always 180
But, The sum of all angles of the triangle that Zuri solved = 93 + 63 + 36 = 192 ≠ 180
So, Zuri is wrong
The price of a computer was decreased by 20% to £420.
What was the price before the decrease?
Answer:
£525
Step-by-step explanation:
420 ÷ 0.8 = 525
Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS
Answer:
Step-by-step explanation:
Help with what
Answer:
what is the question???
Step-by-step explanation:
What is the slope of the line that passes through the points (-8,-4) and (4,-4)
Answer:
0 over 12 or undefined answer
Step-by-step explanation:
y2-y1 over x2-x1
What is the graph for f (x)=-2(x-3)2+4
Answer:
hnahnahnahnahhnahnahnahnah
Will give brainliest please be CORRECT.. thank you..
Answer:
undefined
Step-by-step explanation:
if you try to calculate the slope using any method, you won't be able to come up with an answer
Marcus works as a salesman at a car dealership. He is paid a base salary of $1,289.22 each month, and he receives a commission
of $249.09 for each vehicle he sells. If last month Marcus earned $12,249.18, how many cars did he sell last month?
ОА.
29
ОВ.
88
Ос.
98
OD
44
Reset
Submit
Answer:
49.17
Step-by-step explanation:
Which of the following expressions are equivalent to this expression
-1(0) = ?
0 -1[4 + (-4)]
-1[4 + (4)]
O 1 + [4 + (-4)]
O-11-4 + (-4)]
Answer:
so It A -1{4 + (-4)}
Step-by-step explanation:
take the quiz
For the following pairs of equations explain why the equations are NOT equivalent.
which of the following lines is perpendicular to y = -5x - 2?
a. y = -5x +5
b. y = 5x - 1
c. y = 1/5x + 1/5
d. y = 2/5x + 3
Evelyn drove 248 miles in 8 hours. If she continued at the same rate, how far would she travel in 6 hours?
Answer:
186
Step-by-step explanation:
248÷8 = 31
31 miles = 1 hour
31×6 = 186
Answer:
186 miles in 6 hours.
Step-by-step explanation:
Since the problem gives 248m/8h, you would divide 8 into 248 to get the constant speed of 31mph. If you multiple 31 by 6, you get 186 miles after 6 hours.
what is 4/9 × 3/16 asap help it would mean so much
Answer:
0.083
Step-by-step explanation:
Step-by-step explanation:
.083 repeating
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
(0,0)
(1,9.7)
(4,38.8)
Question 2
The unit rate is
feet per second.
Answer:
2
Step-by-step explanation:
2
Divide helpppppppppppppppppp
Answer:
347
Step-by-step explanation:
You need to see how many times 56 fits inside of 19,432. Long division works best for this case
