Answer:
0mStep-by-step explanation:
The height of the rock as it reaches the ground is zero i.e f(t) = 0
Substitute into the function to get t first as shown;
f(t) = -2t^2 + 15.7t
0 = -2t^2 + 15.7t
2t^2 = 15.7t
2t = 15.7
t = 15.7/2
t = 7.85secs
Get the total distance travelled by substituting t = 7.85 into the modeled equation;
Recall that:
f(t) = -2t^2 + 15.7t
f(7.85) = -2(7.85)^2 + 15.7(7.85)
f(7.85) = -123.245+123.245
Hence the total distance travelled by the rock when it reaches the ground is 0m
A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?
Answer: 33.6 feet
Step-by-step explanation:
Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.
A larger, similar rectangle has a length of 12 feet. The width will be:
= 12 / 2.5
= 4.8 feet
The perimeter of the larger rectangle will then be:
= 2(Length + Width)
= 2(12 + 4.8)
= 2 × 16.8
= 33.6 feet
On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
Does 4/10 simplify to 1/4?
No.
Yes.
Answer:
No.
Explanation:
4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.
The decimal form is 0.4
Hopefully this is correct. Good luck with your studies.
4/10 = 2/5 which is not simplify to 1/4
so the answer is NO.
how to be good at math???
Step-by-step explanation:
Do more and more practice daily
Kim spent $33 on a magazine and
some candy bars. If the magazine
cost $5 and each candy bar cost
$4, then how many candy bars did
Answer:
Seven candy bars.
Explanation:
Suppose the number of candy bars purchased is x
The questions say he bought A magazine, means one magazine
the equation is:
4x + 5 = 33
4x = 33 – 5
4x = 28
x = 7
Kim bought 7 candy bars.
Hope this helps! :)
14+x=-19
please solve for x
Please explain how you got answer!!!
Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
Plz help!! Write the name of each quadrilateral and find the area
Answer:
Step-by-step explanation:
1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 6m X 5.1 m =30.6 metre square
2. Kite: it has two equal pairs of sides adjacent to each other
Area =(BD X CE )/2 = (8 X 12) /2 = 48
3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.
Area = base X height = 5.7 X 8 = 45.6 metres square
4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.
Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards
5. Trapezium: it has only one pair of sides parallel.
Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5
6. Kite: it has two equal pairs of sides adjacent to each other
Area =(EG X FH)/2 = (10 X 7) /2 = 35
2. I want to send out 25 Chitstmas cards so I will need 25 stamps. Each stamp cost $0.55; SO how much will I spend on stamps?
Answer:
$13.75
Step-by-step explanation:
please give thanks :)
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?
Answer:
The music director can form a total of 15 groups
6 Sixth grade students per group
5 Seventh grade students per group
Step-by-step explanation:
Sixth grade students = 90
Seventh grade students = 75
Find the highest common factor of 75 and 90
90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
75 = 1, 3, 5, 15, 25, 75
The highest common factor of 75 and 90 is 15
Therefore, the music director can form a total of 15 groups
Sixth grade students per group = 90 / 15
= 6 Sixth grade students per group
Seventh grade students per group = 75 / 15
= 5 Seventh grade students per group
Write the next 3 terms of the arithmetic sequence
17,11,5,-1 _,_,_
Answer:
d=11-17=5-11=-6
so
-1-6=-7
-7-6=-13
-13-6=-19
Hope it will help
is -/17 a rational number
Answer:
17 is a rational number because it can be expressed as the quotient of two integers: 17 ÷ 1.
A classroom measures 14 meters by 7 meters by 3.5 meters. How many cube meters of air are in the room?
Answer:
343 cube meters of air
f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answer:
Step-by-step explanation:
A six pack of soda is on sale for $2.46. Whats the cost of 1 soda
Answer:
.41 cents
Step-by-step explanation:
divide it by 6
Answer:
I think it is $0.41
Hackensack and New York City are 12 miles apart. On a map, the two cities are 2 Inches apart. How many miles does 1 Inch represent on the map?
Answer:
6 miles
Step-by-step explanation:
From the question, we are told that 12 miles represents 2 inches on the map.
We are to calculate the amount of miles 1 inch will represent. To do this you will say:
12 miles = 2 inches
x miles = 1 in
Cross multiply;
2 * x = 12 * 1
2x = 12
x = 12/2
x = 6
Hence 1 inch will represents 6 miles on the map
Choose the proper rationale. "In the compound interest equation, time
Answer:
The correct answer is:
c. Time is an exponent while the other units are factors.
Explanation:
In the compound interest formula, time is the exponent.
Since it is the exponent, this tells us how many times the base is multiplied by itself. As such, it has a larger effect on the answer than any other piece of the equation.
A 60 ounce glass bottle of juice sells for $4.20 while a 1.5 liter of the same juice sells in a plastic bottle for $3.06. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces)
The answer is letter b. $4.20 / 60 ounce is the rate for the glass bottle while $3.06 / 51 ounces is the rate for the plastic one. Simplified, the glass bottle is $0.07 / ounce while the plastic bottle is $0.06 / ounce.
*BRAINIEST & 20 POINTS*
i only have 2 chances so please get it correct!!!
Answer:
(-4, 5)
Step-by-step explanation:
partitions 1 to 4 means that point will make part of the line where it is 1 part to the other 4 parts. This means there are a total of five parts.
For x, we go from -7 to 8 or 15 units, and we are 1/5 of that distance so 3 units, add that to -7 we get -4.
For y, we go from 8 to -7, or 15 units, and we are 1/5 of that distance so 3 units, subtract that from 8 we get 5.
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can anyone help me answer this?!?!
angle BCA should be the same as angle CAD -> 20°
30 divided by 2313. Please work out the answer for me. Thanks You!
Answer: it’s 77.1 plz mark me brainliest
thos was super hard to do
Step-by-step explanation:
Can anyone help mee??
Answer:
20
Step-by-step explanation:
50%=10
100%=20
Answer:
20
Step-by-step explanation:
50% basically means half, so if 10 is 50% then the other 50% is also 10.
so 10x2=20
A map has a scale of 1 in : 14 mi. If
Victoria and Kumba are 2 in apart on the
map, then how far apart are the real cities?
Answer:
28 miles
Step-by-step explanation:
Since 1 inch represents 14 miles, we can find the actual distance by multiplying 14 by 2:
14(2)
= 28
So, the real cities are 28 miles apart.
Answer:
SoluTion :-Let the unknown distance be x
[tex] \tt \dfrac{1}{14} = \dfrac{2}{x} [/tex]
By cross multiplication
[tex] \tt \: 14 \times 2 = 1 \times x[/tex]
[tex] \tt \: 28 = x[/tex]
ThereforeThe far apart distance will be 28 miles.
The number $16$ has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below:\[\square^4=16.\] Find them.
9514 1404 393
Answer:
{2, 2i, -2, -2i}
Step-by-step explanation:
Fourth roots of positive real numbers are always on the cardinal points of the complex plane. The positive real fourth root of 16 = 2^4 is 2. The others are this multiplied by various powers of i.
2, 2i, -2, -2i
Which number line shows the solution of –5x + 10 > –15?
Answer:
b
Step-by-step explanation:
Answer:
Where is the number line?? ;-;
Step-by-step explanation:
Dude I cant answer if you dont show me the number lines
a + 1/2b + 2/5 + 3/2a + 1/4b
Answer:
Your answer is 5a/2+3b/4+2/5
Step-by-step explanation:
Answer: The answer is 5a/2+3b/4+2/5
Step-by-step explanation: hope this helps! Merry Christmas!
Determine whether the relation is
a function.
{(-6,3),(2,2),(6,2),(3,7)}
Answer:
Since there is one value of y{(-6,3),(2,2),(6,2),(3,7)}for every value of x in , this relation is a function.The relation is a function.
Step-by-step explanation:
Hope that help like and please give me brainiest.Aslo add me.
Find the value if x=2+root3
Answer:
x=2+ root(3)
x= 2 + 1.73
x=3.74
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The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as
Answer:
r=√(3v)/(xh)
Step-by-step explanation:
the volume of a cone is given as
v= 1/3 xr^2 h. Then we need the radius, r, of the cone
v= 1/3 xr^2 h
Let us cross multiply we have
3v= xr^2h
Make r^2 subject of the formula we have
r^2= 3v/xh
Find the square root of bother sides we have
r=√(3v)/(xh)
the radius, r, of the cone can be expressed as r=√(3v)/(xh)
Which set of measurements determines a unique triangle
A. 30°, 80°,100°
B. 20°, 70°, 90°
C. 15cm, 21cm, 30cm
D. 14ft, 17ft, 35ft