Answer:
x= 2
Step-by-step explanation:
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: a(t)=1.4t2, which specifies the effect of gravity on the height of the ball, and v(t)=12.1t+2.5, which specifies the effect of the punt on the ball. With these two functions, h(t)=v(t)-a(t), how high above the ground was the ball when it was punted?
Answer:
h = 8.845 m
Step-by-step explanation:
The height h(t) of the football above the ground in meters t seconds after being punted is affected by gravity and by the punters kick, and can be represented as the difference of two functions:
[tex]a(t)=1.4t^2\\\\v(t)=12.1t+2.5[/tex]
We need to find h(t) such that, h(t)=v(t)-a(t)
So,
[tex]h(t)=12.1t+2.5-1.4t^2\\\\h(t)=-1.4t^2+12.1t+2.5[/tex]
It is a quadratic equation. When we solve it we get :
[tex]h(t)=8.845\ m, -0.2\ m[/tex]
Neglecting negative value,
h(t) = 8.845 m
So, the ball was at a height of 8.845 m when it was punted.
A sheep producers from 2 to 5 gallons of milk per day. How many gallons of milk is this each year?
A square of side x is cut out of a larger square of side y. What is the area of the remaining
figure?
Answer:
The area of the remaining figure is [tex]y^2-x^2[/tex]
Step-by-step explanation:
Area of the Square Shape
Given a square of side length x, the area is calculated by the formula:
[tex]A_x=x^2[/tex]
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
[tex]A_y=y^2[/tex]
The shaded area of the remaining figure is the difference between both areas:
[tex]A=A_y-A_x[/tex]
[tex]A=y^2-x^2[/tex]
The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]
Hi. I need help with these questions.
See image for question.
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =(2x + 1)(2x² + 1/2x - 5/4) + 1/4Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 = (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 = (2x -3)(2x² + 4.5x + 5.75) + 16.25Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 = (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =(4x - 1)(x² + x - 1/2) - 3/2Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 = (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =(x + 2)(4x² - 5x + 8) - 17Quotient = 4x² - 5x + 8
Remainder = - 17
Step-by-step explanation:
Given
f(x) = 4x³ + 3x² - 2x - 1
Divide it by the following:
(a) 2x + 1
4x³ + 3x² - 2x - 1 =
(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
(2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
(b) 2x - 3
4x³ + 3x² - 2x - 1 =
(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
(2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
(c) 4x - 1
4x³ + 3x² - 2x - 1 =
(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
(4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
(d) x + 2
4x³ + 3x² - 2x - 1 =
(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
(x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
12.5/10 = 30/t
a
48
b
24
c
2.4
d
4.8
help meeeeeeeeeeeeeeeeee
Answer:
I think it is C. or D.
Step-by-step explanation:
I dont know for sure but they come close. Hope this helped you!!
Nolan says the relationship in the table is not proportional because the point (0, 0) does not appear in the table.
Which is the best way to explain to Nolan why he is incorrect?
A. A graph made from the table will be increasing, so it is proportional.
B. Not all proportional relationships contain (0, 0), so it could be proportional.
C. The points on the graph will have even y-coordinates, so it is proportional.
D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.
Answer: D. Even though (0, 0) is not in the table, the graph is a line through (0, 0), so it is proportional.
Step-by-step explanation:
The table is not included but this should be the correct answer.
Linear relationships which are proportional will have to pass through the origin which is (0,0). This does not mean that on the table, the points (0,0) have to be there.
Even if it does not explicitly appear in the table, so long as the line passes the origin, it is to be considered a proportional relationship. The (0,0) might not appear on the table because only a few points the line passed through were listed but if when the line is plotted, the line goes through (0,0), it is proportional.
Answer:
D
Step-by-step explanation:
find the 1st term of the sequence whose nth term is 4n + 3
Answer:7
Step-by-step explanation:
I believe the answer would be three since 4(1)+3=7
Office Depot prints black and white or colored copies.Yesterday,they printed 9 black and white copies for every 2 colored copies if they print 200 color copies how many black and white copies were printed?
Answer:
900 black and white copies were printed.
Step-by-step explanation:
From the information provided, you know that they printed 9 black and white copies for every 2 colored copies and you can use a rule of three to find the amount of black and white copies that were printed if they printed 200 color copies:
9 black and white → 2 colored
x ← 200 colored
x=(9*200)/2=900
According to this, the answer is that 900 black and white copies were printed.
PLEASE HELP ME!! WILL MARK BRAINLIEST!!
Answer:
choice C (-4x+12i)(x+3i)
Step-by-step explanation:
(-4x+12i)(x+3i)
-4x^2-12i+12i+36i^2
-4x^2-36
drag a series of transformations of trapezoid ABCD to the table that show trapezoid ABCD is congruent to trapezoid EFGH
Answer: Reflect Y-Axis & 10 Units Down
Step-by-step explanation:
Please help I’m being timed
Answer:
slope is 0
Step-by-step explanation:
Answer:There is no slope to this answer. The slope is undefined
Step-by-step explanation: This is because when you use the slope equation (rise over run) you get 1 over 0, because you rise but don't move on the x axis at all. Since you cannot divide by zero the answer is undefined. The slope would be zero if it was a horizontal line for example 0/1 slope.
simple math question
1)
Answer:
x^10
Step-by-step explanation:
when u mulitply exponets you add them.. i would look up on google tho the rules of exponents so you know them.
first one TO ANSWER and GET IT CORRECT will get brainliest plus 15 points :) and a thanks on there comment
Answer:
MacBook air please
Step-by-step explanation:
Answer:
left edge should measure 1 cm and bottom should measure 2 cm because it has to be scaled
Step-by-step explanation:
1 cm = 3 ft
left side is 2cm wants it to be 3 feet and 1cm = 3 feet so you make it from to cm to 1 cm aka 3 feet and the bottom side 2 cm so that its scaled :)
Brainliest?
Whitch statement is true?
A.All right triangles are similar
B.All parallelograms are similar
C.Similar shapes have equal angle measure
D.Similar shapes have proportional angle measures
Answer:
I think it’s D
Step-by-step explanation:
the bill came to $136.40 The patrons decided to leave a 15% tip what was the total bill including the tip
Answer:
$156.86Step-by-step explanation:
Total = bill + tip
136.40 + 0.15*136.40 =136.40 + 20.46 = 156.86ANSWER FOR BRAINLIEST
CORRECT ANSWERS ONLY
1. Quotient
2. Factors
3.product
4. Divisor
5. Dividend
Hope I could help -
Have a wonderful rest of your day!
Sleepy+
Solve for x.
A) -7
C) 6
B) 9
D) 10
Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
hi nothing for checking for me to be able to make it to the gym today and I love you too baby girl and I love you too baby and have fun at school and see what happens and we are born with you have a good time with the girls have a nice time with me and him and he said he was going to be a little more about the job I have to go to the doctor today and I love the idea of the constitution
If its nonsense question well i don't know
please don't give nonsense question.
Answer:
whtsas
Step-by-step explanation:
i give you points lol
Answer:
yes
Step-by-step explanation:
Write an equation of the line that passes through (2, – 4) a
and
(0, – 4).
y =
Answer:
y=-4
Step-by-step explanation:
first,
you find the slope by doing
y2-y1/x2-x1 and getting 0.
then plug into point slope form,
y-y1=m(x-x1)
y-(-4)=0(x-2)
y+4=0
y=-4
The midpoint of
AB
‾
AB
is
M
(
−
6
,
3
)
M(−6,3). If the coordinates of
A
A are
(
−
8
,
1
)
(−8,1), what are the coordinates of
B
B
Answer:
(-4,5)
Step-by-step explanation:
yup
What is the slope of this line?
-3
4
3/4
-3/4
Which equation represents a line which is perpendicular to the line y = 4/3x -7
A)3x + 4y = 8
B)4x – 3y = 24
C)4x + 3y = -6
D)4y - 3x = 12
Answer:
A)3x + 4y = 8
Step-by-step explanation:
Given expression;
y = [tex]\frac{4}{3} x[/tex] - 7
A line perpendicular to this will have negative inverse slope;
the slope of the given line = [tex]\frac{4}{3}[/tex]
perpendicular line = [tex]-\frac{3}{4}[/tex]
Now;
the equation of the line is;
y = [tex]-\frac{3}{4}[/tex] x - 7
multiply through by 4
4y = -3x - 28
4y + 3x = -28
A cell phone company charges 5$ for 250 text messages. How much does the company charge for 300 text messages?
Answer:
$6
Step-by-step explanation:
250 text messages = $5
300 text messages = [tex]\frac{300}{250 }[/tex] × $5
= $6
Pls don't eat me :>
Please help me on how to solve it please 60 points!
Answer:
C. x⁶y⁴/xy²
Step-by-step explanation:
Rearrange (x²y)(x⁴y³) to get
(x²x⁴)(yy³)
When multiplying numbers with exponents with the same base, you add the exponents.
So the equation above can be simplified even further to:
(x²⁺⁴)(y¹⁺³) --- (those are plus signs in between the exponents)
Simplify to
x⁶y⁴
Now you have the top of the equation simplified
so the answer is c
Hope this helps! (would appreciate brainliest; trying to get to next rank)
have a nice day!
Look at each equation. Is the equation linear? Select Yes or No.
1/x - 2y =7
A
Yes
B
No
А
Yes
y=x2-8
B
No
7
3x + - = -5
A
Yes
B
No
Answer:
9890
Step-by-step explanation:
khkyuyukrfqz
Answer:
1st one is yes
2nd no
3rd no
Step-by-step explanation:
Pls help
Write a story about temperatures that this expression could represent:
27 + (-11)
Answer:
2333
Step-by-step explanation:
need the solution to this: 34x + 85 = 3(13x + 7)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=64/5
Decimal Form:
x=12.8
Mixed Number Form:
x=12 4/5
what is 2p6−19=−9 I need help pls I don't understand this at all
Answer:
5/6. Is this what u are looking for?
Step-by-step explanation:
Step 1 Simplify:2x(6)-19=-9 to 12x+-19=-9
Step 2 Add 19 to both sides: 12x-19+19=-9+19. You should get 12x=20
Step 3 Divide 12 on both sides: 12x/12=10/12
x=10/12. Simplified= x=5/6
After multiplying, a calculator screen displays the answer shown below. How would you write this number in standard form? Enter your answer in the box. Include commas in your answer. 8.234 E14
Answer:
[tex]8.234 E14=8.234 \times 10^{14}[/tex]
Step-by-step explanation:
The given number is [tex]8.234 E14[/tex]
We need to write this number in standard form.
Any no is given in the standard form is given by :
[tex]N=a\times 10^b[/tex]
Where
a and b is real no and integer
It means,
[tex]8.234 E14=8.234 \times 10^{14}[/tex]
Hence, this is the required solution.