The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the water balloon after t minutes, hence:
h(t) = -16t² + vt + h₀
Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:
h(t) = -16t² + vt + 12
The height of 37 feet after 1.25 seconds, hence:
37 = -16(1.25)² + v(1.25) + 12
v = 40 m/s
h(t) = -16t² + 40t + 12
After 2 seconds:
h(t) = -16(2)² + 40(2) + 12
h(2) = 28 feet
The height of the balloon at 2 seconds is 28 feet
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can i have some help? subject is stretching and reflecting quadratic functions
Answer:
(5,5)
(-3,-15)
(6,-12)
(-2,8)
Step-by-step explanation:
Multiply the value of "a" with the coordinates.
#1
(1,1) and a=5y=ax²
y=5(1)²y=5Coordinates (1,5)
#2
(5,25) and a=-0.6So
y=-0.6(5)²y=-0.6(25)y=-15Coordinates (5,-15)
#3
(-2,4) and a=-3So
y=-3(-2)²y=-3(4)y=-12Coordinates (-2,-12)
#4
(-4,16) and a=1/2So
y=1/2(-4)²y=16/2y=8Coordinates (-4,8)
How to solve by completing the square??
x^2 +8x=33
We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps
Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²
[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]
Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :
[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]
Simplify both sides now :
[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]
Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS
[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]
[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]
[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]
Step 4 :- As, power on both sides is 2, so we can just equate the bases
[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]
Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with
[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]
I need help please and please explain your answer.
Answer:
I think it is B or D
actually it is B i got 100%
Step-by-step explanation:
Find the reciprocal of [tex]$\frac{1}{-2} \cdot \left(-\frac{1}{3}\right) \cdot \frac{1}{-4} \cdot \left( -\frac{1}{5} \right)$.[/tex]
Answer:
120
Step-by-step explanation:
Lets take it step by step!
Step 1 : first mutiply -1/2 * -1/3
-1/2 * -1/3 = 1/6
(remember to mutiply fractions we have to mutiply there denominator and numerator together)
Step 2 : then move on and multiply 1/6 * -1/4
1/6 * -1/4 =
-1/24
Step 3 : Next we have to go and multiply -1/24 by -1/5
-1/24 * -1/5 =
1/120
Step 4 : Finally we switch the numerator and denominator to find its reciprocal which is :
120!
how much should i invest today at 11.99% interest compounded quarterly if i want $100000.00 in 10 years
I am having trouble with this problem
Answer:
b=330.90 and c=314.97
Step-by-step explanation:
b=245×sin71.2/sin44.5. c=245×sin64.3/sin44.5. you get the 64.3 by subtracting 180_(71.2+44.5)
8 over 10 devided by 1 over4
Joel is selling a motorcycle for $2,535. He bought the
motorcycle two years ago and paid $4,721 for it. It depreciated
35% during the two years. Is he losing money or making money
on this sale?
18. Willa is buying flowers for a large garden project. She plans
Answer:
Joel is losing money.
Step-by-step explanation:
4,721-35%=?
First, convert the percentage into a decimal.
35%=35/100=.35
Then multiply 4721 by .35 which is 1652.35
At last, subtract 4,721 by 1652.35= 3068.65
If a boat 26’ long by 8.5’ wide and a can is 4.75” tall by 2.4” wide how many cans can fill the boat?
Answer:
19
Step-by-step explanation:
A company rents moving trucks for $45 plus $0.75 per mile. write an equation that relates the cost C and the miles driven, x. Calculate the cost of
renting a truck for one day, and driving it 110 miles.
The equation we would use here would be 45 + 0.75x = C
This is because we have a flat fee of $45 and you are being charged $0.75 per mile, so it depends on how many miles were driven.
To find out how much it would cost if it were to drive 110 miles, we simply put 110 in place of x;
45 + 0.75(110) = C
And now we solve!
45 + 82.50 = C
$127.50
Hope this helps!
Which is greater: 3.5 or 6/5
3.5 is greater as 6/5 = 1.2
Answer:
3.5
Step-by-step explanation:
6/5 = 1.2
3.5 > 1.2
Can someone help me figure out angle a in this circle? thank you!
Answer:
[tex]m \angle a = 116 \degree[/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex]m \angle a = \frac{1}{2} \times m \widehat{(BD)} \\ \\ \implies m \angle a = \frac{1}{2} \times 232 \degree\\ \\ \implies \huge { \orange{m \angle a = 116 \degree}}[/tex]
A bowling ball has an outside layer, and an inner core. One type of bowling ball has a diameter of 8 inches, and the outside layer is an inch thick. what is the volume of the outsdie layer
diameter = 8
radius = 4
outside layer is an inch thick so
radius is 3
volume of a bowling ball is
volume of a sphere which is
4/3 * Pi * radius cubed =
(4/3)*Pi*27=
answer = 82447.96 in^3 or inches cubed
socraticorg
The volume of the outsdie layer whose diameter is of 8 inches is 290 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that bowling ball has an outside layer, and an inner core
One type of bowling ball has a diameter of 8 inches
We have to find the volume of the outsdie layer
Radius of the ball is 4 inches.
Volume of sphere = 4/3πr³
=4/3×3.4×4³
=4/3×3.4×64
=290 cubic inches
Hence, the volume of the outsdie layer whose diameter is of 8 inches is 290 cubic inches.
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The Davis family purchased a house last year. They put $20,000 towards a down payment and took out a $265,000 mortgage. Because it was a new home, all the repairs and maintenance were covered under the builder’s warranty, but the Davises want to budget this coming year for unexpected expenses. When estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. What would be a good yearly estimate of repairs and maintenance for the Davis family’s home? a. $28,500 b. $2,650 c. $2,850 d. $200
Answer:
2,850
Step-by-step explanation:
I'm not very good with percentages, so this may be incorrect, but 1 ℅ of the total purchase price would be 2850 because 1 ℅ is essential 0.01 x 285,000. 285,000 would be adding the down-payment to the mortgage.
hope this helps
Mr. Ketchum collets Pokémon cards. He purchases a rare charizard Pokémon card for $525. Research shows this card value will increase by 3.5% each year. Write an equation that determines the value,v,of the card t years after purchase
Answer:
18.37500
Step-by-step explanation:
Here You Go! Hope It Helps Bud
a. y=-2x +10, y=-**
y,
5. y=-3x+10, y=-2x
c. y=
y=-*x+10,
-x+10, y=-2x
y=-2x+10, y=-*
c.
х
Answer:
C
Step-by-step explanation:
find the plot and interpret the point in the equation
A mountain road drops 5.2 m for every 22.5 m of the road. Calculate the angle at which the road is inclined to the horizontal.
Answer:
13°
Step-by-step explanation:
sin(Ф)= opposite/ hypothenuse
sin(Ф) = 5.2/22.5
Ф= sin∧-1 (5.2/22.5)
Ф= 13.36°
Hassan build a fence around a square yard it took 48 m² of lumber to build a fence the fence is 1.5 m tall what is the area of the yard inside the fence
what digit 7 sits in this number 714,583
Answer:
The hundred thousands place
Step-by-step explanation:
Answer:
The hundred thoudsands place; (700,000)
Step-by-step explanation:
The places of the number are listed below:
Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3
The digit 7 is in the hundred thoudsands place.
hope this helps!
Given y = 2x2 - 5x - 9, what is the value of y when x = 2?
Answer:
Step-by-step explanation:
y = 2(2)2 - 5(2) - 9
= 8 - 10 - 9
= -11.
what's 3/4 divided by 1 1/5
15/44
Step-by-step explanation:
change the division sign to multiple. flip the numbers 11 and 5 around. multiple 3 times 5 then 4 times 11.
Decide which other to give him prices is better and explain why. Storage locker A rents for $32/yd2 per month. Storage locker B rents for $1.58/ ft2 per week. Assume 1 month = 4 weeks. Which one is better and why.
Answer:
Locker B
Step-by-step explanation:
When you divide 32 by 3 you get 10.667. Then when you divide that by 4 you get $2.667/ft2 per week.
What is the horizontal difference between (4, 8) and (-2, 2)?
Answer:
6 units
Step-by-step explanation:
the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.
Triangle ABC is rotated to form △A'B'C'.
The coordinates of point A are (1, 1), the coordinates of point B are (3, 1), and the coordinates of point C are (1, 4).
Which counter clockwise rotation around the origin results in the transformation of △ABC to △A'B'C'?
Select from the drop down arrow to choose the correct rotation.
90 degrees
180 degrees
360 degrees
Answer:
may be 90 degrees for that question
Answer: Rotation of 90
Step-by-step explanation:
HELP ME OUT PLS!!!!!!!!!
Which purchase are people most likely to regularly save a small amount of money for, and then let the value grow over time?
A) going to the movies
B) retirement
C) buying audiobooks
D) going to a concert
Answer:
B) retirement
Step-by-step explanation:
Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.
Hope this helps!!
What is the distance between points (-6, -7) and (-1,5) on the coordinate plane?
Answer:
The answer is C. 13
Step-by-step explanation:
A student’s height was 61 inches at the beginning of the year. At the end of the year it was 64 inches. What was his percent increase? Round to the nearest tenth of a percent.
Answer:
4.9% increase
Step-by-step explanation:
Starts at 61 inches
Ends at 64 inches
64 - 61 = 3 inches increase
percent of 3 to 61
3 / 61
≈ 0.49
= 4.9%
GUYS HELP ASAP
CHECK THE ATTACHED PHOTO
Answer:
As they triangles are congruent, we can say that, angle A = angle O
So, angle A = 105+25 =130
A = 180 - 130 = 50° all angles in a triangle add up to 180)
Soo 50° is the answer,
I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....
A bag of apples weighs
4.25 pounds. How many
ounces
does the bag of apple
weigh?
Answer:
68 ounces
Step-by-step explanation:
Since 1 pound is 16 ounces, if you use the comparison 1 lb/16 oz=4.25 lb/x oz, you could see that by multiplying 4.25x1, you get 4.25 lbs. So you do the same for the ounces. 16x4.25=68 oz.
The bag of apple weigh is 68 ounces .
What is unit of measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
According to question
A bag of apples weighs = 4.25 pounds
and 1 pounds = 16 ounces
Therefore ,
4.25 pounds = 16*4.25 ounces
= 68 ounces
Hence, the bag of apple weigh is 68 ounces .
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Using the information in the table, draw a
graph of the relationship between t, the
time, and d, the total distance traveled by
the train, for a trip that lasted from 0 to 7
hours.
Answer:
Step-by-step explanation: