A ball is thrown straight up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 48t + 64. What is the height of the ball at 2 seconds ?
Answer:
112 :).
Step-by-step explanation:
hope this helps!
What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, ...
Answer:
A. -6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Common difference of an arithmetic sequence=t2-t1
=39-45
=-6
What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction?
A fraction bar labeled 1. Under the 1 are 4 boxes labeled one-fourth. Under the 4 boxes are 6 boxes labeled one-sixth. Under the 6 boxes are 12 boxes labeled one-twelfth.
Answer:
B) 9/10
Step-by-step explanation:
Solve the following inequality.
- 1/2p<-16
Which graph shows the correct solution?
+
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13 PLEASE HELP
Answer:
p<32
Step-by-step explanation:
[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]
Answer:
A is the answer got it right on quiz
I really need the help
y>_ -5
y- 1 < 3x
Answer:
C
Step-by-step explanation:
PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!
Answer:
z = -5/4
Step-by-step explanation:
divide both of the sides by -8
z = -10/8
then you would simplify 10/8 to 5/4
z equals -5/4
Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.
Step-by-step explanation: Do You Want Me To Find All The Values ?
Parallel lines intersected by a common transversal form 8 angles
The required values of y and x are;
5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°The reasons why the above values are correct are given as follows:
Given the lines are parallel lines cut by a common transversal, we have;
Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles
Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles
Which gives;
(2·y - 1)°+ (9·x - 38)° = 180°...(1)
(4·x + 23)° = (2·y - 1)°...(2)
From equation (1), we get;
y = 109.5 - 4.5·x
From equation (2), we get;
y = 2·x + 12
The common solution is given by; 109.5 - 4.5·x = 2·x + 12
From 109.5 - 4.5·x = 2·x + 12, we get;
x = 15,
y = 42°6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal
(9·x + 42)° = 15·x°
∴ x = 7
(4·y - 13)° and (9·x + 42)° are supplementary, therefore
(4·y - 13)° = (9·x + 42)°, which gives;
(4·y - 13)° = (9×7 + 42)° = 105°
y = 29.5°7) (3x + 11) + (x + 21) = 180
∴ x = 37
(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°
y = 9°8) (13·x - 33) = 10·x
∴ x = 11
10·x + 5·y = 180
10 × 11 + 5·y = 180
[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]
y = 14°9) (27·x + 4) + (8·x + 1) = 180
∴ x = 5
y + 10 = 8·x + 1 = 8 × 5 + 1 = 41
y = 41 - 10 = 31
y = 31°10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52
7·x = 56
x = 8
11) (6·x - 58)° + (x + 8)° = 90°
7·x - 50 = 90
7·x = 90 + 50 = 140
[tex]x = \dfrac{140}{7} = 20[/tex]
x = 20°12) 7·x - 7 = 3·x + 45°
4·x = 52
[tex]x = \dfrac{52}{4} = 13[/tex]
x = 13°
(3·x + 45)° + 63° + (y - 6)° = 180°
(3×13 + 45)° + 63° + (y - 6)° = 180°
147 + (y - 6)° = 180°
y = 39°Learn more about the angles formed between parallel lines here:
https://brainly.com/question/17477121
https://brainly.com/question/8692265
https://brainly.com/question/17931911
what fraction is equivalent to 5/6 and has a numerator that is 2 less than its denominator
Answer:
Step-by-step explanation:
let the fraction be x denominator and x-2 be its numerator
according to question
5/6=x-2/x
do cross multiplication
6(x-2)=5x
6x-12=5x
6x-5x=12
x=12
therefore the fraction is
x-2/x
12-2/12
10/12
In which quadrant on a graph will (-5, -7) be found? *
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV
Answer:
on a graph will (-5, -7) be found Quadrant III.
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
can someone help me with this final please
Answer:
Option 1.) y = 125°
Step-by-step explanation:
We know that sum of exterior angles of any polygon is 360°. Therefore we can say;
70° + 60° + 65° + 40° + y° = 360°
235° + y° = 360°
y = 360 - 235
y = 125°
Therefore the measure of ∠y = 125°
Hope this helps!
the solutions of the equation x^2-6x+4=0
Answer:
you have 2 options!!!
Step-by-step explanation:
hoped I helped!
1. Cadence has a collection of 52 dolls that all have either blue-eyes or green-eyes.
Cadence has 16 more blue-eyed dolls than green-eyed dolls. How many green-eyed dolls
does Cadence have?
Answer:
Cadence has 18 more green eyed dolls
Step-by-step explanation:
1. 52-16=36
2. 36÷2=18
The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Rhythm has an assortment of 52 dolls that all have either blue-eyes or green-eyes. Rhythm has 16 additional blue-looked-at dolls than green-peered dolls.
Let 'x' be the number of blue-eyes dolls and 'y' be the number of green-eyes dolls. Then the equations are given as,
x + y = 52 ...1
x = y + 16 ...2
From equations 1 and 2, then we have
y + 16 + y = 52
2y = 52 - 16
y = 36 / 2
y = 18
The value of x is given as,
x = 18 + 16
x = 34
The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Hi! Please solve this. Thank you! (Oh and please do the explaining part! Thx)
Answer:
No,because a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Step-by-step explanation:
pls help me its due at midnight!!
Enter the given equation in exponential format.
log base2 x = r
Answer:
2^r=x
Step-by-step explanation:
Describe the behavior of the graph below.
Answer:
Step-by-step explanation:
Can someone please help me answer these questions!?
Answer:Im not sure maybe 3
Step-by-step explanation:
Deondre purchased a piece of investment property for $34,500. He anticipates each year it will increase in value by 3.2% over the previous year. Enter numbers in the boxes to write an exponential function that models the value in dollars of the property x years after Deandre's purchase.
f(x)=
Answer:
f(x) = 34,500 × (1.032)^x
Step-by-step explanation:
Just completed the test and copied the answer directly from the review.
7 in.
15 in.
7 in.
8 in.
7 in.
14 in.
What is the total volume of the figure?
Answer:
7 x 7 x 8 = 392
15 x 7 x 7(14 - 7) = 735
735 + 392 = 1,127 in^3 is your answer.
Let's split the figure:
4(8x−1) = 19+32x
I need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some.
Answer: 0 = 23
Almost positiveee :))
Step-by-step explanation:
I will give brainliest to whoever answers this question:) help a dummy out
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation is a parabola, that opens up downwards, and the point from which Sarah throws the ball is 5 feet off the ground. so set the height to zero ( when the ball reaches the ground ) and solve for t
0 = -16[tex]t^{2}[/tex] + 18t + 5
use quadratic equation :)
-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a
-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)
-18 +- sqrt[324 +320 ] / -32
-18 +- sqrt[644] / -32
-18 +- 25.377155 / -32
do the positive choice :
-18 + 25.377155 / -32
7.377155 / -32
-0.2305 ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)
do the negative choice:
-18 - 25.377155 / -32
1.355536 ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )
t = 1.4 seconds ( rounded to nearest 10th )
Function A and Function B given below are linear functions, which statement is
true?
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Slope Formula: Y2 - Y1/ X2 - X1
Function A: 15 + 25/ 4 + 4 = 5; Slope = 5
Function B: 4 - 2/ 3-2 = 2; Slope = 2
The slope of Function A is greater than the slope of Function B.
What is the value of x?
A.38
B. 59
C. 83
D. 96
Answer:
Ans is 59
Step-by-step explanation:
46 +51+y=180 (sum of triangle)
y=180-46-51
y=83
now,
83+x+38=180
x=180-83-38
x=59
value of x is 59
A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
2. Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points. Part A: What is the probability that a randomly selected score is greater than 81 points? Part B: What percentage of students scores are between 69 and 78? Part C: A student who scores a 84 is in the _______________ percentile.
Using the normal distribution, it is found that:
A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.
B. 81.85% of students scores are between 69 and 78.
C. The student scored in the 99.87th percentile.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, as:
[tex]\mu = 75, \sigma = 3[/tex].
Item a:
The probability is one subtracted by the p-value of Z when X = 81, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 75}{3}[/tex]
Z = 2.
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.
Item b:
The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 75}{3}[/tex]
Z = 1.
Z = 1 has a p-value of 0.8413.
X = 69:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 75}{3}[/tex]
Z = -2.
Z = -2 has a p-value of 0.0228.
0.8413 - 0.0228 = 0.8185.
81.85% of students scores are between 69 and 78.
Item c:
The percentile is the p-value of Z when X = 84, multiplied by 100, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84- 75}{3}[/tex]
Z = 3.
Z = 3 has a p-value of 0.9987.
The student scored in the 99.87th percentile.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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50 POINTS!! Geometry!!
Answer:
Step-by-step explanation:
since RS || VU ( parallel to ) then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71° so subtract ∠VRT from ∠VRS
103° - 71° = 32°
so ∠TRS = 32°
next find ∠U, we know that ∠U + ∠VRT= 180° ( b/c they are supplementary )
we are also told that ∠VRT = 71°
∠U = 180 - 71
∠U = 109°
Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°
So subtract VRT from VRS,
103° -71° = 32°
So, TRS = 32°
next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)
We are also told that <VRT = 71"
U = 180° - 71°
U = 109° is the answer.
Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct
Answer:
11 sq. units
Step-by-step explanation:
Find the area of the rectangle first, then find the area of the three white triangles.
Area of the rectangle
= 6×5
= 30 sq. units
Total area of the three white triangles
= (4×5)÷2 + (2×3)÷2 + (6×2)÷2
= 19 sq. units
The area of the rectangle minus the total area of white triangles:
Area of the green triangle
= 30-19
= 11 sq. units
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
Chris is splitting 6 quarts of ice cream with 9 members of the team. If the ice cream is split evenly. How many cups will each person get? Explain
2. What is the value of win this equation?
5w+ 3 = 9
Answer:
w = 1.2 or 6/5
Step-by-step explanation:
math