Answer:
It will take 1.25 seconds to reach the ground.
Step-by-step explanation:
The equation of the containers pathway can be modeled by the equation given below :
[tex]h=-16t^2+25[/tex]
t is time in seconds
It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,
[tex]h=0\\\\-16t^2+25=0[/tex]
[tex]-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s[/tex]
So, it will take 1.25 seconds to reach the ground.
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
helpppppppppppppppppppppppppp again 2
Answer:
500
Step-by-step explanation:
The median is the middle point of the box
Answer:
500
Step-by-step explanation:
The median is the point in the middle of the box.
i need help can some please answer this 2 2/3+1 1/2
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer: 25/6 or 4.16
Step-by-step explanation:
Give the sum of 1/2 and 8/12 in simplest form
Answer:
7/6
Step-by-step explanation:
sum of 1/2 & 8/12 = 1/2 + 8/12
= 7/6
hope this help you !! ;))))what is the answer
Answer:
the answer would be 256 cm squared (the third option)
Step-by-step explanation:
What is the volume of a rectangular pyramid, with a height of 12 in., length of 10 in., and width of 8 in.?
72 in3
200 in3
320 in3
960 in3
Answer:
320 in ^3
Step-by-step explanation:
V=B*h/3 where B=10*8=80 and h=12
V=80*12/3=320 in ^3
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
Calculate:
400 x 3235 =
You must show full working out.
Answer:
1294000
Step-by-step explanation:
There are two ways to do this: The short way and the long way:
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
how do I do this math question? Full working/explanation.
Answer:
50g sugar, 100g butter and 400g flour
Step-by-step explanation:
You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.
If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.
That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.
Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.
So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.
Solve for x : 2x−3 = 5
Answer:
x=4
Step-by-step explanation:
2x-3=5
Add 3 to both sides
2x=8
divide both sides by 2
x=4
[tex]2x - 3 = 5 [/tex]
[tex]2x = 5 + 3 [/tex]
[tex]2x = 8[/tex]
[tex]x = 8 \2( transposing known value to one side to get the value of x)[/tex]
[tex]x = 4(bringing it to lowest term)[/tex]
What is the least common denominator of 2/3 and 7/9
Answer:
9
Step-by-step explanation:
2/3 = 2/3 × 3/3 = 6/9
7/9 = 7/9 × 1/1 = 7/9
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
496000$
Step-by-step explanation:
Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)
Answer
i can't see the image can you post it again.
Step-by-step explanation:
Answer:
29 + 64 =x which is 93 for question 2
Step-by-step explanation:
the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.
What is the probability of rain on Thursday?
Answer:
Any number over 66%, but less than (or equal to) 100%
Step-by-step explanation:
The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Johnny has a jar of marbles with the following number of colored marbles in it.
If Johnny randomly pulls out a marble from the jar, what is the is the probability that he will pull out a red marble?
A. 1/4
B.1/5
C.1/3
D.1/6
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family
Answer:
B. People who eat there are likely to return and suggest what is good on the menu to friends and relatives.
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
Find the cosecant of angle t (written as a fraction)
Answer:~0.9998
Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse
Cos t = 56/65 ~ 0.998
A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
Write an equation for the following:
A number increased by 6 is 22.
Solve your equation (show steps) to find the number.
Answer:
16
Step-by-step explanation:
The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
Answer:
a. 12
b. 8006
Step-by-step explanation:
We have company A, which is determined with the following equation:
A = 6500 + 125.5 * x
where x is the amount of ton of sugar
Same for company B:
B = 5597 + 200.7 * x
We want to know when A = B are equal, therefore:
6500 + 125.5 * x = 5597 + 200.7 * x
200.75 * x - 125.5 * x = 6500 - 5597
75.25 * x = 903
x = 903 / 75.25
x = 12
That is to say that when they are 12 tons of sugar they charge the same.
To know how much the value would be:
A = 6500 + 125.5 * 12 = 8006
B = 5597 + 200.75 * 12 = 8006
That is to say that the value when it is equal is 8006
