Answer:
h= -20
t = -0.104 and -2.39s
Step-by-step explanation:
A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth
The velocity of the body at its maximum height is zero
V= dh/dt
dh/dt = 32t + 40
0 = 32t+40
-32t = 40
t = 40/-32
t = -1.25s
Substitute t = -1.25 into the expression
h(t)=16t^2+40t+4.
h(-1.25)=16(-1.25)^2+40(-1.25)t+4.
h = 16(1.5625)-50+5
h = 25-45
h =-20
Hence the maximums height is -20m
The ball will reach the ground at h = 0
Substitute
h(t)=16t^2+40t+4.
0 = 16t^2+40t+4
Divide through by 4
0 = 4t²+10t+1
Factorize
-10±√10²-4(4)/2(4)
t = -10±√100-16/8
t = -10±√84/8
t =-10+9.17/8
t = -0.83/8 and -19.17/8
t = -0.104 and -2.39s
Find the area. Simplify your answer.
3x
7
Answer:
21x?
Step-by-step explanation:
I think so
(a) 4x - 3y = 6,
7x + 3y = 27.
(d)
12x + 19y= 22,
18x + 23y = 44.
(g) 53x +41y = 147,
41x + 53y =135.
g
Can somebody plz answer both these questions correctly thanks!! (Word problem)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
a. 40%
b. 7.5%
Step-by-step explanation:
a. 60/ 150 x 100
b. 4.5/ 60 x 100
Which rectangular equation is formed by eliminating the parameter?
y = t^3
x = t + 5
Given :
Two equations :
y = t³
x = t + 5
To Find :
Rectangular equation formed by eliminating the parameter.
Solution :
Putting value of t from second equation to first equation.
We get :
[tex]y = ( x-5)^3[/tex]
Also, t from equation first :
[tex]t = \sqrt[3]{y}[/tex]
Putting the value of t and equation two, we get :
[tex]x = \sqrt[3]{y}+5[/tex]
Therefore, rectangular equation is formed by eliminating the parameter is :
y = ( x - 5)³ and x = ∛y + 5 .
The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
The options are:
y = (x + 5)³x = (y + 5)³y = (x - 5)³y = (x - 5)²It is given that:The parametric equations are:
y = t³
x = t + 5
From the second equation that is x = t + 5
Take the value of t and plug in the equation y = t³:
t = x - 5
y = (x - 5)³
The above equation represents a cubic equation.
Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
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Nine children join hands to form a circle how many hands
Please help im bad at this pls dont just steal my points =(
Answer:
the slope is a positive and the point is (-1,-2) the equation is 3=(×1,2)
Step-by-step explanation:
if im wrong im so sorry
During the 1920s, buying stock on credit was called buying on speculation. buying on a gamble. buying on margin. buying on margin call.
During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.
What is a margin trading?An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.
In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.
Hence, option C states about margin trading.
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A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the
volume of the cubes?
• (4x2 -by) (16** +24x2y+38y?)
• (63-4x2) 36y2 +24x+y+ 16x
• (4x2-by)(4x4 +24x+y+by?)
• (4x2 + 8y)(18** – 24x+y+38y?)
Answer:
Step-by-step explanation:
Side length of a small cube = 6y
Side length of a larger cube = 4x²
This small cube is placed inside a larger cube. We need to find the difference in the volume of the cubes.
Volume of small cube, [tex]V_1=(6y)^3=216y^3[/tex]
Volume of lager cube,
[tex]V_2=(4x^2)^3\\\\=64x^6[/tex]
Difference in the volume of the cubes,
[tex]\Delta V=V_2-V_1\\\\=64x^6-216y^3[/tex]
We can simplify the above expression :
[tex]\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)[/tex]
So, the difference in the volumes of the cubes is [tex](4x^2-6y)(16x^4+24x^2y+36y^2)[/tex].
Answer:
see image below
Step-by-step explanation:
Which expression is equivalent to the one below?
3(10+)
-5
1
4
-5
8
5+
1
8
1
-5+
4
Answer: 1 and 5 ?
i'm so confused o-o
Step-by-step explanation: i have no idea what i'm doing i just picked a random answer, i'm very sorry if i'm wrong :c
Answer:
Do you have a picture, I can answer you faster?
can someone tell ne the equation of this word problem.
will give brainliest
Answer:
Dude. The word problem is non-existent.
Answer:
????
Step-by-step explanation:
there ain't nothing 2 solve
Who is getting the points???? ( UR SO MF*. CKING SMART IF U KNOW THISSS )
Answer:
the answer is option number b ( less than 90° )
hope this answer will help you
Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow requires 2/3 of a yard of ribbon. How many complete bows can she make?
Answer:
4
Step-by-step explanation:
Given that:
Total yards of satin bought by Maddie = [tex]3\frac{2}{3}[/tex] yards
Number of yards required make one ribbon = [tex]\frac{2}{3}[/tex] yards
To find:
Number of complete bows that can be made ?
Solution:
First of all, let us learn about converting the mixed fraction to fractional form.
Formula:
[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}{c}[/tex]
Therefore, total yards of satin bought by Maddie can be written in fractional form as:
[tex]3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}[/tex]
One hair bow requires [tex]\frac{2}{3}[/tex] yards of ribbon.
Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.
Answer is:
[tex]\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4[/tex]
4 hair bows can be made.
Is it legal to keep monkeys in a refrigerator in the United States?
Answer:
I don't really know but I think it is.
Step-by-step explanation:
What is the correct answer?
Answer:
pretty sure its B the degree is the biggest number of exonent and the leading coefficient is the number in front of the x that is the biggest. u can look up the graph for end behavior.
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x – 15y = 135
Answer:
Step-by-step explanation:
Slope-intercept form means the equation of a line should be in this form:
[tex]y=mx+b[/tex]
So we re-write our equation into this form like this:
[tex]6x-15y=135\\-15y=-6x+135\\y=\frac{-6x+135}{-15} \\\\y=\frac{-6x}{-15}+\frac{135}{-15} \\\\y=\frac{2}{5}x-9 \\[/tex]
Can someone please solve number 9 and ten please
Answer:
In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!
Step-by-step explanation:
determine whether the following two lines are parallel perpendicular coincident or intersecting y=-4x+2 and 16y=4x+8
Answer:
i dont know
Step-by-step explanation:
but i wish you luck
Plz, Help me with this question.
Jane buys a pack of 6 towels for 15.60 .
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Answer:
2.6
Step-by-step explanation:
Where is the circumcenter of this triangle located?
O at a vertex of the triangle
O outside the triangle
Thing
O on a side of the triangle
O inside the triangle
Answer:
I don't see a picture but the circumcenter is usually inside the triangle.
please help :{
Jannie has a budget of less than $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many can she buy without going over the budget? *
Answer: She can buy 6 shirts
Step-by-step explanation: You subtract 95 from 240, which gives you 145 so you do 145/22.5 which will give you 6.4444 but you can't buy .44 of a shirt so you round down and you get 6.
Please help due in 15 min
SOMEONE PLEASE HELP IF U GET IT RIGHT ILL GIVE U 15 POINTS PLEASE
Answer:
There is no solution, y-int of one line is positive
Step-by-step explanation:
There is no solution because there are no shared points between both lines, and the y intercept of the blue line is positive, because it is above the x-axis.
Which inequality is true?
+
-3
-2
-1
0
1
2.
3
011
A
ن نے
024-2 1/2
1 1 1 1
Plssss help!!
Answer:
2 awnser is the right on
What information is needed to determine that the two triangles are congruent be ASA?
Answer:
ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
9514 1404 393
Answer:
see below
Step-by-step explanation:
ASA requires two angles and the side that lies between them. The list below is a list of such. (The ends of the segments are the vertices of the angles.)
Select the correct locations on the graph
select the lines that represent functions
Step-by-step explanation:
Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.
The lines outlined in a black box are the correct answers.
Answer:the other person is right
Step-by-step explanation:
Every day, the Clinton Pet Store uses 3 bags of dog food to feed the dogs. How many days will 3/4 of a bag of dog food last?
3/4 of a bag of dog food will last for 2.25 days.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If 3 bags of dog food are used every day, then in one day, 1 bag of dog food will last:
1 day = 1/3 bag of dog food
To find how many days 3/4 of a bag of dog food will last, we can divide 3/4 by 1/3:
(3/4) ÷ (1/3)
= (3/4) × (3/1)
= 9/4
= 2.25
Therefore,
3/4 of a bag of dog food will last for 2.25 days.
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which expression is equivalent to
2(3g-4)-(8g+3)?
-2g-1
-2g-5
-2g-7
-2g-11
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11
What is the product of (4i) and (4+i)
Answer:
-4 + 16 i
Step-by-step explanation:
You are dealing with imaginary numbers so i dont remember y but i know that it is that answer
Answer:
- 4 + 16i.
Step-by-step explanation:
4i(4 + i)
= 16i + 4i^2 Now i^2 = -1 so we have:
16i - 4 (answer)
which statement about 2(×+4) is true ?
Answer:
The answer is 2x + 8
Step-by-step explanation: