Answer:
D
Step-by-step explanation:
Hope this helps
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t, in seconds, when the ball’s height is greater than 10 meters.
Complete Question:
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in
seconds, when the ball's height is greater than 10 meters.
-4.9t² + 22t + 0.75 > 10
The ball's height is greater than 10 meters when t is approximately between __ and __ seconds
Answer:
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Step-by-step explanation:
Given
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Required
Solve the inequality
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Subtract 10 from both sides
[tex]-4.9t\² + 22t + 0.75 - 10> 10 - 10[/tex]
[tex]-4.9t\² + 22t + -9.25> 0[/tex]
Solve using quadratic formula
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case;
a = -4.9; b = 22; c = -9.25
[tex]t = \frac{-22 \± \sqrt{22^2 - 4 * (-4.9) * (-9.25)}}{2 * -4.9}[/tex]
[tex]t = \frac{-22 \± \sqrt{484 - 181.3}}{-9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{484 - 181.3}}{9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{302.7}}{9.8}[/tex]
[tex]t = \frac{22 \± 17.398}{9.8}[/tex]
Split
[tex]t = \frac{22 + 17.398}{9.8}[/tex] or [tex]t = \frac{22 - 17.398}{9.8}[/tex]
[tex]t = \frac{39.398}{9.8}[/tex] or [tex]t = \frac{4.602}{9.8}[/tex]
[tex]t = 4.02[/tex] or [tex]t = 0.47[/tex]
Convert to inequality;
[tex]0.47 < t < 4.02[/tex]
Hence;
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Answer:
0.47 and 4.02
Step-by-step explanation:
Edmentum/Plato
arleen has a gift card for a local lawn and garden store. she uses the gift card to rent a roller for 4 days. it cost $17 per day to rent the tiller she also buys a rake for $5. find the change to the value of her gift card
Answer:
We use negative values for the money Arleen spends.
a) We determine the change to the value on her gift card:
4(-35)+(-9)= -140+(-9)=-149
b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:
200+(-149)=51
Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:
51>50
RESULT
a) -$149 less b) yes
Step-by-step explanation:
6x^2y^3 + 9xy^4 - 12x^3y
Answer:
3xy(2xy2+3y3−4x2)
Step-by-step explanation:
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
Answer:
A) 2
Step-by-step explanation:
You went to Disney World by car. The trip there took 6 hours. On the way home, people were evacuating for a possible hurricane so your speed decreased by 20 m/hr and it took 10 hours to get home. How fast was the car going on the way there? How fast was it going on the way back home?
Answer:
a) on the way there, the speed = 50 m/hr
b) on the way back home, speed = 30 m/hr
Step-by-step explanation:
[tex]speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time[/tex]
on the way to Disney land:
distance = d
speed = s
time = t = 6 hours
d = s × t
d = s × 6
d = 6s - - - - - (1)
On the way back:
speed decreased by 20m/hr
This means that s₂ = (s - 20)m/hr
time = t₂ = 10 hours
∴ d = s₂ × t₂
d = (s - 20) × 10
d = 10s - 200 - - - - (2)
Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)
∴ 6s = 10s - 200
collecting like terms:
10s - 6s = 200
4s = 200
∴ s = 200 ÷ 4
s = 50 m/hr
Therefore on the way there, the car was moving at a apeed of 50m/hr
speed on the way back home (s₂) = (s - 20) m/hr
∴ s₂ = 50 - 20
s₂ = 30 m/hr
Therefore on the way back home the speed was 30 m/hr
Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3
Answer:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
Step-by-step explanation:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
What is the domain of the function represented in the graph?
Answer:
0-t-14
Step-by-step explanation:
Its the first one I don't want to type
i need the answer to this problem
Answer:
c/4 is 7 and c is 28
Step-by-step explanation:
Answer: Answer in steps
Step-by-step explanation:
[tex]\frac{c}{4} -12 = -5[/tex] Add 12 to both sides
[tex]\frac{c}{4} = 7[/tex] Now multiply both sides by 4
c= 28
A triangle with vertices (−2, 3), (5, 4), and (−1,−1) is translated using the rule (x, y)→(x−3, y+4). What are the coordinates of the image?
Answer:
(-6,7) (2,8) (-4,3)
Step-by-step explanation:
Select the equivalent expression.
Answer:
Step-by-step explanation:
a^-4 x 8^14
the solution is C
is -10 greather than -7
Answer:
no
Step-by-step explanation:
-7 is bigger
Answer:
no, its less
Step-by-step explanation:
because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers
8(2f-3)=4f
Can anybody give an explanation and answer ? Algebra 1 ?
Answer:
2
Step-by-step explanation:
16f - 24 = 4f
12f = 24
f = 2
A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measures 18' by 42'? Express your answer in cubic yards.
Answer: 22.59 yd^3
Step-by-step explanation:
First the volume of a cuboid whose measurements are:
L = length, W = width and T = thiknes is:
V = L*W*T.
We want to calculate the volume of a shape that is:
10'' thick, 18' wide and 42' long.
This notation is:
(') = feet
('') = inches
The first step is to write our 3 numbers in the same units, then we can use that:
1 inch = 0.083 ft.
Then 10 inches are equal to:
10'' = 10*(0.083 ft) = 0.83 ft = 0.83'
Then the volume of concrete needed will be:
V = 0.83ft*18ft*42ft = 627.48 ft^3
But we want this expressed in yd^3
1ft = 0.33 yd
then
1ft^3 = (0.33 yd)^3 = 0.036 yd^3
then 627.48 ft^3 can be written as:
627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3
is √324 rational, irrational, an integer, or a natural or whole number
Answer:
wHOLE number
Step-by-step explanation:
IT is a whole number
WHy is an assingment so hard or at least why do they make it difficult
Answer:
for the teacher to see are u a hard working student
Step-by-step explanation:
Do the ratios 19/8 and 5/4 form a proportion?
============================================================
Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
---------------------------
Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
---------------------------
2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
Answer:
no
Step-by-step explanation:
because they are not equivalent to each other.
Somebody HELPPPPPSelect the correct answer. What is the value of this expression if a = - 7 and b = -37 a3 - b2
Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.
If there are a total of 20 data values , with what frequency does the data value 3 occur
Answer:
Question: The Relative Frequencies For A Set Of Data Are Shown In The Table Below. Value Relative Frequency 1 0.15 2 0.10 3 0.45 4 0.30 If There Are A Total Of 20 Data Values, With What Frequency Does The Data Value 3 Occur?
Step-by-step explanation:
Hi I'm not really good at least to greatest but can I have help.
Answer:
the answer is c.
c shows the correct order.
Step-by-step explanation:
i hope this helps you! <33
Answer:
for negative the highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest Step-by-step explanation:
Y is between X and Z. T is
between Y and Z. If XZ = 90,
YT = 22, and XY = TZ, what is
XT?
Answer:
xt=56
Step-by-step explanation:
90-22=68
68/2=34
xy=34
tz=34
22+34=56
xt=56
Solve b− 3 16 = 5 16 b−316=516 . b=
Which set of orderd pairs is a function A.( -6, -4 ), (-4, -2) , ( 0, 0 ), (-4, 2 ) ,( -6, 4) B. ( -2 , 1 ) , (-4, 2) , ( 0, 3) , ( 4, 1) , (-2 , 5 ) C. (-1 , 5) , ( -1 , 4) , (-1 , 3) , ( -1 , 2) , (-1, 1 ) D. ( -5, 1 ) , (-3 ,2), ( -1, 3) , (1, 4) , (3, 5
Answer:
The answer is D
Step-by-step explanation:
To be a function, you cannot have the same x values.
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Answer:
D
Step-by-step explanation:
when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000
Answer:
D
Step-by-step explanation:
Please help! If possible, please word your explanation simply.
Answer: It is because if ∠N and ∠K are congruent and are same in size and shape.
Answer:
KLM is equal to NLM because in order to share a bisector, they have to have the same length. Also we can assume that <L and <M are the same since they share the same vertex, making both triangles equal.
Step-by-step explanation:
Someone help me
10-14x-7-7x=6
Answer: your answer is going to be 1/7
Step-by-step explanation:
Answer:
x = -1/7
Step-by-step explanation:
First, combine like terms:
3 - 21x = 6
Then, isolate the variable:
-21x = 3
Then, divide -21 on both sides:
x = -3/21
Finally, simplify the fraction:
x = -1/7
Hope this helps!
Which of the following is another way to express the difference between -5 and 8
Answer:
-5 - 8 = -13
Another way to express the difference is:
-8 + (-5) = 13
Step-by-step explanation:
(Picture)
Answer:
-5 - (-8)
Step-by-step explanation:
Write the slope intercept form of the equation.
Y=Mx+b
PLEASE SHOW WORK
Answer:
See below (I hope this helps!)
Step-by-step explanation:
We need to write this in the form y = mx + b.
x + 3y = -12
3y = -x - 12
[tex]y = \frac{1}{3}x - 4[/tex]
HELPP
Solve the equation 15+25=4+6x
Answer:
x=6
Step-by-step explanation:
Answer: x=6
Explanation:
1. Add: 15+25=40
2.Subtract 4 from each side: 40=4+6x
3.Divide by 6: 36=6x
4. x=6
Plz help me I'm real confused haha
Answer:
3 = D
4 = I
6 = G
7 = J
8 = B
9 = A & C
10 = H
Step-by-step explanation:
Anthony Harris earns $0.50 per hamper of heirloom tomatoes. One day he picked 43 hampers-worth. What was his total pay that day?
Answer:
$21.50
Step-by-step explanation:
We want to find Anthony's pay for 43 hampers.
We can multiply his pay per hamper by the number of hampers picked.
pay per hamper * hampers picked
He earns $0.50 for each hamper and he picked 43 hampers. Therefore, we can multiply $0.50 and 43 to find his pay for the day.
$0.50 * 43
$21.5 = $21.50
Anthony's total pay that day is $21.50.