Answer:
Step-by-step explanation:
Height: h(t)= -0.2t^2+2t = 2t(-0.1t + 1)
-0.2t^2+2t is a quadratic expression with a = -0.2 and b = 2.
The ball reaches its max height at t = -b/(2a).
Here, t = -2 / (2·[-0.2] ), or t = 2/0.4 = 5 (sec)
The ball reaches its max height at at 5 sec.
The max ht. of the ball is h(5) = -0.2(5 sec)^2 + 2(5 sec) = (-5 + 10) sec, or 5 ft.
To determine after how many sec the ball reaches the ground, we set h(t) = 0 and solve for t:
h(t)= -0.2t^2+2t = 0 = 2t(-0.1t + 1). Thus, t = 0 sec or t = 10 sec
The ball reaches the ground again after 10 sec.
Which situation will have the greatest number of permutations?
A.
The number of license plates with 4 letters followed by 3 numbers, where letters and digits cannot be repeated.
B.
The number of license plates with 3 letters followed by 4 numbers, where letters and digits cannot be repeated.
C.
The number of license plates with 4 letters followed by 3 numbers, where letters and digits can be repeated.
D.
The number of license plates with 3 letters followed by 4 numbers, where letters and digits can be repeated.
Please select the best answer from the choices provided
A
B
C
D
Answer:
Option C will have greatest number of permutations.
Step-by-step explanation:
A.
The number of license plates with 4 letters followed by 3 numbers, where letters and digits cannot be repeated.
We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter
25 letters options for 2nd letter
24 letter options for 3rd letter
23 letter options for 4th letter.
So total options for 4 letters 26*25*24*23 = 358800
Now, 3 numbers are required. We have total 10 numbers (0-9)
10 number options for 1st number
9 number options for 2nd number
8 number options for 3rd number
Total options for 3 numbers= 10*9*8 = 720
total options for 4 letters and 3 numbers will be: 358800 * 720 = 258,336,000
B.
The number of license plates with 3 letters followed by 4 numbers, where letters and digits cannot be repeated.
We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter
25 letters options for 2nd letter
24 letter options for 3rd letter
So total options for 3 letters= 26*25*24 = 15600
Now, 4 numbers are required. We have total 10 numbers (0-9)
10 number options for 1st number
9 number options for 2nd number
8 number options for 3rd number
7 number options for 4th number
Total options for 4 numbers = 10*9*8*7 = 5040
total options for 4 letters and 3 numbers will be: 15600 * 5040 = 78,624,000
C. The number of license plates with 4 letters followed by 3 numbers, where letters and digits can be repeated.
Now, the letters and digits can be repeated. So we have 26 options for each 4 letters and 10 options for each 3 numbers
26*26*26*26 *10*10*10 = 456,976 * 10,00 = 456,976,000
total options for 4 letters and 3 numbers will be: 456,976,000
D.
The number of license plates with 3 letters followed by 4 numbers, where letters and digits can be repeated.
Now, the letters and digits can be repeated. So we have 26 options for each 3 letters and 10 options for each 4 numbers
26*26*26 *10*10*10*10 = 17,576 * 10,000 = 175,760,000
total options for 3 letters and 4 numbers will be: 175,760,000
So, Option C will have greatest number of permutations.
Which term refers to a pictorial representation of given set of data involving two variables?
A- graph
B- decimal
C- formula
D- axis
The term which refers to a pictorial representation of given set of data involving two variables is:
A- graph
Step-by-step explanation:We know that
In mathematics, a graph is a diagram that is used to represent a relationship between the two variables one is a independent variable and the other is a dependent variable.
It is just the set of all the ordered pairs of the type: (x,y) where x is the domain of the function and y is the range of the function.
Hence, the answer is:
Option: A
( A-- Graph)
Help me
it an emergency
Answer:
40
Step-by-step explanation:
165% * ? = 66
66 / 165%
66 / (165 / 100)
(100 * 66) / 165
6600 / 165 = 40
What is the value of x?
Enter your answer in the box.
x =
Answer:
25
Step-by-step explanation:
use pythagoras theorem:
sqrt of: a^2+b^2 = c
where
a=24
b=7
c=x
so substitute these values in the theorem:
sqrt: 24^2+7^2=25
hope this helps!
Answer:
25
Step-by-step explanation:
a²+b²+c²
24²+7²=c²
576+49=625
√625=25
Write the standard form of the equation of the circle with the center (0,2) that passes through (7,3)
Answer:
x²+y²-4y-46=0
Step-by-step explanation:
the equation of a circle is in the form (x - a)² + (y - b)² = r², where (a,b) is the center of the circle
the equation is (x - 0)² + (y - 2)² = r², where r is the radius. But r is the distance from (0,2) to (7,3)
the distance from two points is given by r² = (x₁ -x₂)² + (y₁ - y₂)²
r²= (0 - 7)² + (2 - 3)²
r² = 49 + 1 = 50
hence the equation is
(x)² + (y - 2)² = 50
x²+y²-4y+4 = 50
x²+y²-4y-46= 0
find the value of x (3x+20) (5x-16)
15x+320
X=21.3
Mulitply 3 and 5 to get 15x
Multiply 20 and 16 to get 320
Divide each side by 15
The value of x (3x+20) (5x-16) is x=0 or x= 16/5 or x= -20/3
What is factorization?Writing a number or other mathematical object as the sum of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x² - 4 and the integer 15 can both be factored by the number 3 × 5.
Given
Let's solve your equation step-by-step.
x(3x+20)(5x−16)=0
15x³+52x²−320x=0
Step 1: Factor left side of equation.
x(5x−16)(3x+20)=0
Step 2: Set factors equal to 0.
x=0 or 5x−16=0 or 3x+20=0
x=0 or x= 16/5 or x= -20/3
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Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded
monthly, to pay for her last semester of college. If she will begin paying off
the loan in 10 months with monthly payments lasting for 20 years, what will
be the total amount that she pays in interest on the loan?
A. $9345.60
B. $3345.60
C. $3724.80
D. $9724.80
Answer:
The total interest paid by Nell in 20 years is $3,724.80
C is correct
Step-by-step explanation:
Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded monthly.
First we find total amount in 10 months
[tex]A=6000(1+\frac{0.048}{12})^{10}[/tex]
[tex]A=6244.37[/tex]
Now, He has to pay loan off on 6244.37 for 20 years at 4.8% APR
Loan Formula:
[tex]P=\dfrac{PV\cdot r}{1-(1+r)^{-n}}[/tex]
PV=6244.37
r=0.048/12
n=240
[tex]P=\dfrac{6244.37\times \frac{0.048}{12}}{1-(1+\frac{0.048}{12})^{-240}}[/tex]
[tex]P=40.52[/tex]
Total pay in 20 years = 40.52 x 20 = 9724.80
Total amount took loan = $6000
Interest = 9724.80 - 6000
= $3,724.80
Hence, The total interest paid by Nell in 20 years is $3,724.80
Answer: $3345.60
Step-by-step explanation:
Apex - Took one for the team on the quiz because I forgot to check the rating on the other answer </3
what percent of 64 is 16
Answer:
Step-by-step explanation:
The percent of 64 which that is 16 is 25% because, to find what percent a number y is of a number x, you have to follow the steps: Divide y by x.
Answer:
25%
Step-by-step explanation:
The question aks: What percentage of 64 is 16?
Let that percentage be x,
[tex]\frac{x}{100}[/tex] of 64 = 16
We multiply both sides by 100 then divide by 64 to get:
x = [tex]\frac{1600}{64}[/tex] = 25%
Solve:
a: 256÷x=64
b: 256÷x=4
c: 36÷d=60
Answer:
x = 4. x = 64, d = 0.60.
Step-by-step explanation:
a. 256 /x = 64
64x = 256
x = 256/64
x = 4.
b. 256/x = 4
4x = 256
x = 256/4
x = 64.
c. 36/d = 60
60d = 36
d = 36/60
d = 0.60.
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael’s age
Answer: 14
Step-by-step explanation:
⇒ Michael's age = x −25
⇒ x − 25 + x = 53
⇒ 2x = 53 + 25
⇒ 2x =78
⇒ x =39
Hence, Michael's age
= x − 25 = 39 − 25 = 14* Hopefully this helps:) Mark me the brainliest:)!!!
~234483279c20~
Which expressions are equivalent to 5+(−3)(6x−5)
Choose all answers that apply:
A
18x−20
B
3x-3
C
None of the above
Answer:
C. None of the aboveStep-by-step explanation:
[tex]5+(-3)(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5+(-3)(6x)+(-3)(-5)\\\\=5-18x+15\qquad\text{combine like terms}\\\\=-18x+(5+15)\\\\=-18x+20[/tex]
Answer:
none of the above
Step-by-step explanation:
just for people who dont want one
Melinda earned the following amount of money in tips the past five days at the restaurant: $52, $78, $62, $120, and $71. What was the median amount of money Melinda earned in tips the past five days?
Answer:
The median would be 71
Step-by-step explanation:
The median means middle and 71 is in the middle if you place the numbers in order
Also please drop a brainliest!
Factor x^3+2x^2-9x-18 , given that -2 is a zero.
Answer:
x
3
+
2
x
2
+
9
x
+
18
x3+2x2+9x+18
Factor out the greatest common factor from each group.
Tap for more steps...
x
2
(
x
+
2
)
+
9
(
x
+
2
)
x2(x+2)+9(x+2)
Factor the polynomial by factoring out the greatest common factor,
x
+
2
x+2
.
(
x
+
2
)
(
x
2
+
9
)
(x+2)(x2+9)
Step-by-step explanation:
Answer:
(x + 2)(x + 3)(x - 3)
Step-by-step explanation:
Given that x = - 2 is a zero then (x + 2) is a factor
Dividing x³ + 2x² - 9x - 18 by (x + 2) gives
x³ + 2x² - 9x - 18 = (x + 2)(x² - 9) = (x + 2)(x + 3)(x - 3)
Which phrase is represented by the expression 5x ( 36+ 9)?
Answer: 225x
Step-by-step explanation:
Use distribution to get rid of the parenthesis.
5x * 36 + 5x*9
180x + 45x
Now combine like terms
225x
The graph below is the graph of a function
A. True
B. False
Answer:
false
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
Use vertical line test to find our whether the line is the graph of a function or not.
From the photo, we can see that only one output ( value of y) for one input ( value of x) and all vertical lines intersect a curve at most once then the line represents a function.
Hope it will find you well.
I need help on this, what is the ordered pair is a solution?
Answer:
(-2, -1)Step-by-step explanation:
Convert the inequality to the form y > mx + b:
3x + y > -8 subtract 3x from both sides
y > -3x - 8
Put the coordinates of the points to the inequality and check:
for (-3, 0)
0 > -3(-3) - 8 → 0 > 9 - 8 → 0 > 1 FALSE
for (-2, -1)
-1 > -3(-2) - 8 → -1 > 6 - 8 → -1 > -2 TRUE
for (0, -10)
-10 > -3(0) - 8 → -10 > 0 - 8 → -10 > -8 FALSE
for (2, -16)
-16 > -3(2) - 8 → -16 > -6 - 8 → -16 > -14 FALSE
16) If 2x + 7 = -9, what is
the value of 15 - 4x?
2x + 7 = -9
2x = -9 - 7
2x = -16
x = -16/2
x = -8
15 - 4x
15 - 4.(-8)
15 + 32
47
A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. Which type of functions best models this situation?
A) exponential
B) linear
C) quadratic
D) radical
Answer:
Option B. Linear
[tex]y=4x+18[/tex]
Step-by-step explanation:
Let
x----> the time in hours
y----> the total inches of snow on the ground
we know that
The function that best model this situation is the linear function
so
[tex]y=mx+b[/tex]
In this problem
[tex]m=4\frac{in}{h}[/tex]
[tex]b=18\ in[/tex] ----> the y-intercept
substitute
[tex]y=4x+18[/tex]
Question:
A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. Which type of functions best models this situation?
A) exponential
B) linear
C) quadratic
D) radical
Answer & Step-by-step explanation:
It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.
If a function has constant rate of change, then the it is a linear function.
It the given case the rate of change is constant so linear function best model this situation.
The slope intercept form of linear function is
f(x)=mx+b ... (1)
where, m is slope and b is y-intercept or initial value.
Ski resort has 18 inches of snow on the ground it means initial value is 18.
The snow is falling at a rate of 4 inches per hour. So, m=4.
Substitute m=4 and b=18 in equation (1).
f(x)=4x+18
Therefore Linear decreasing function best model this situation and the required function is f(x)=4x+18.
Hope this helps.
What is the solution to 3|–3x + 9| = –18?
x = –5
x = 5 or x = 1
x = –5 or x = 1
no solution
Answer:
x=5 and x=1
Step-by-step explanation:
3 |-3x + 9| = -18
/3 /3
|-3x + 9| = -6
-3x + 9 = -6 -3x + 9 = 6
-9 -9 -9 -9
-3x = -15 -3x = -3
/-3 /-3 /-3 /-3
x = 5 and x = 1
Answer:
No solution
Step-by-step explanation:
Which set of quadrilaterals must have opposite sides that are congruent and parallel?
A.square, rectangle, kite
B.rhombus, rectangle, trapezoid
C.rectangle, parallelogram, rhombus
D.kite, parallelogram, rectangle
Answer:
The answer is option C. rectangle, parallelogram, rhombus
Step-by-step explanation:
The set of quadrilaterals that must have opposite sides that are congruent and parallel are - rectangle, parallelogram, rhombus.
These three quadrilaterals have opposite sides congruent. Kites and trapezoids does not have opposite sides congruent.
The required set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.
The set of quadrilaterals that must have opposite sides that are congruent and parallel is option C: rectangle, parallelogram, rhombus.
In a rectangle, opposite sides are congruent and parallel.
In a parallelogram, opposite sides are congruent and parallel.
In a rhombus, opposite sides are congruent and parallel.
Therefore, the set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.
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What is 2648 to two significant figures?
Answer:
2600 is the significant number.
Step-by-step explanation:
Given : 2648.
To find : What is 2648 to two significant figures.
Solution : We have given 2648.
We can see two last digit are 48 that is less than 50.
To the nearest 100 it become 00
So,2600 is the significant number.
Therefore, 2600 is the significant number.
The number 2648 to two significant figures is 2600
How to determine 2648 to two significant figures?From the question, we have the following parameters that can be used in our computation:
Number = 2648
By definition, the number of significant figures are the digits of a number that are meaningful
Using the above as a guide, we have the following:
Number = 2600 to two significant figures
Hence, the number to two significant figures is 2600
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4×10 + 3×1 + 5×(
1
10
) + 3×(
1
100
) + 2×(
1
1,000
) =
Answer:
this answer is 25893
Step-by-step explanation:
Find the area of the composite figure.
A) 17 yd2
B) 21 yd2
C) 23 yd2
D) 24 yd2
Answer:
C) 23 yd^2
Step-by-step explanation:
We can break this figure into two rectangles.
One rectangle is a vertical triangle that is 3 yd across by 7 yds down
The area of this figure is
A = lw
= 3 * 7 = 21
The other rectangle is 1 yd across and by 2 yds down
The area of this figure is
A = lw
= 1 * 2 = 2
The total area is the sum of the two figures
A = 21 +2 = 23
Its c hope this helped
A rock is dropped from a bridge 320 feet above the river. The pathway that the rock takes can be modeled by the equation h= -16t2+320. How long will it take the rock to reach the river?
Answer:
288
Step-by-step explanation:
Answer: 4.47 seconds.
Step-by-step explanation:
Hi, the rock will reach the river when the height (h) is 0.
So, replacing in the equation given:
h= -16t2+320
Where t is the time
0= -16t2+320
Solving for t
-320 = -16t2
-320/-16 =t2
20 = t2
√20 =t
4.47 = t
Assuming that t is the time in seconds, the rock will reach the river after 4.47 seconds.
Feel free to ask for more if needed or if you did not understand something.
Use the following information to find the test statistic of the sample used to test the claim that FICO credit scores are greater than 675. n = 50, = 719, s = 92
t = 32.437
t = –32.437
t = –3.382
t = 3.382
Answer:
t = –3.382
Step-by-step explanation:
Claim: FICO credit scores are greater than 675
Thus, x = 675
We are given:
Sample size = n = 50
Sample Mean = u = 719
Sample Standard deviation = s = 92
The formula to find the t-statistic is:
[tex]t=\frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]
Using the above values, we get:
[tex]t=\frac{675-719}{\frac{92}{\sqrt{50} } }\\\\ t=-3.382[/tex]
Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.
Answer:
t = 3.382
Step-by-step explanation:
gradpoint
Which angle is congruent to angle 1?
The angle that is congruent to angle 1 is angle 4 (m∠ 4).
What is congruent angle?
Congruent angles are angles that have the same measure in degrees or radians. So, if two angles are congruent, it means that they are equal in size.
From the diagram of the parallel lines, the angle that is all congruent to angle 1 include;
m∠ 1 = m∠ 4 (vertically opposite angles are equal)
m∠ 2 = m∠ 5 (vertically opposite angles)
m∠ 3 = m∠ 6 (vertically opposite angles)
So m∠ 1 = m∠ 4
Thus, the angle that is congruent to angle 1 is angle 4.
HELP ME , I CANNOT POST PICTURE & I HAVE 2 THINGS THAT REQIRE A PICTURE WHAT DO I DO ??!
Answer:
Step-by-step explanation:
so when you post your picture you wanna click the thing that looks like a paper clip and attach a file or picture. or your can copy your photo and paste it in your question if you dont know how to take a picture just screenshot it *depends what kind of computer your using*
Hello there! I answered a few questions like this before so here is my answer from that question:
- Click "Ask your question."
- Type out the question in the field.
- Click the paperclip icon below the answering field.
- Click "add attachments"
- Select the photo you want to use
- Click "Open" and wait for the photo to load.
There you go! I hope this helped. An easier way to do this is to drag your photo straight into the answer field and you can skip the last 4 steps, I am sure this works on mac but not sure if it works on windows. Have a great day! :)
help with #5 please
729. multiple 9 times 9 then 81 times 9 and you get D
A spoke of a wheel makes 32 revolutions while the wheel goes 425 feet. Find the approximate radius of the wheel.
Answer:
2.11 ft
Step-by-step explanation:
Given in the question,
number of revolution a wheel make = 32
distance that wheel traveled while rotating = 425ft
Step 1
Find the circumference of the wheel
circumference = total distance covered / number of revolution
= 425 / 32
= 13.28 ft
Step 2
Formula of circumference
2πr = 13.28 ft
r = 13.28/2π
r = 2.11 ft
Graph the linear equation.
Y=-1/5x+3
first plot (0,2) then (-1,5)