Answer:
12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.
Step-by-step explanation:
A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff after t seconds is s(t) = 16t2. Assume the distance from the top of the cliff to the water below is 96 ft.
A) When will the rock strike the water?
B) Make a table of average velocities and approximate the velocity at which the rock strikes the water.
Answer:
A) 2.45 seconds
B)[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]
Step-by-step explanation:
Distance [tex]s[/tex] (in feet) from the top of cliff after [tex]t[/tex] seconds when a rock is dropped off the edge of a cliff is given as:
[tex]s(t)=16t^2[/tex]
Distance from the top of cliff to water = 96 ft
To find:
A) When will the rock strike the water
i.e. The time taken by the rock to travel the distance of 96 ft.
B) Table of Average Velocity and approximate velocity at which the rock strikes the water ?
Solution:
A) Given that distance traveled = 96 ft
To find the value of [tex]t[/tex]
Putting the value of [tex]s[/tex] in formula: [tex]s(t)=16t^2[/tex] to find [tex]t[/tex]:
[tex]96 = 16t^2\\\Rightarrow t^2=6\\\Rightarrow \bold{t = 2.45\ sec}[/tex]
B) The velocity at which the rock hits the water:
We need to differentiate [tex]s(t)[/tex] w.r.to [tex]t[/tex] in order to find the velocity at any instant.
[tex]s'(t) =\dfrac{d}{dt}s(t) = \dfrac{d}{dt}(16t^2)\\\Rightarrow v = 2\times 16t^{(2-1)}\\\Rightarrow v = 32t[/tex]
The time taken to reach the water is 2.45 seconds.
Putting [tex]t[/tex] = 2.45 seconds to find the velocity:
[tex]v = 32\times 2.45 = 78.4\ ft/sec[/tex]
Average velocity is given as total distance traveled and total time taken.
[tex]\text{Average Velocity = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
[tex]\text{Average Velocity = }\dfrac{96}{2.45}\\\text{Average Velocity = 39.18\ ft/s}[/tex]
[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]
i need help plsss ;(((
Answer:
Look below
Step-by-step explanation:
1) x = 14, because 14 * 14 = 196
2) x = 3 / 16, because ( 3 / 16 ) * ( 3 / 16 ) = 9 / 256
3) x = 8, because 8 * 8 * 8 = 512
4) x = 4 / 7, because ( 4 / 7 ) * ( 4 / 7 ) * ( 4 / 7 ) = 64 / 343
You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is $113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of $400. If you are taking 15 credit hours, what amount will you need to pay for your classes next semester?
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
2u^2 + v when u=3 and v=7
Answer: 25
Step-by-step explanation:
There are two variables which is u and v and is given that u is 3 and v is 7 so input that into the expression and solve.
2(3)^2 + 7 Solve the exponent first
2(9) + 7 Now multiply then add
18 + 7 = 25
The product of 2 and w
Answer:
2w
Step-by-step explanation:
that is 2 times w if you want a anwser i would need a definition of w
Which property is used in the problem below?
2 (x + 4) = 2 x + 8
the associative property
the commutative property
the distributive property
the additive identity property
Answer:
Distributive property
Step-by-step explanation:
2(x+4)
We can write it as:-
=>2(x)+2(4)
=>2x+8
Answer:
the awnser is c the distributive proporties
Step-by-step explanation:
Use the distributive property and add like terms 5(3x-4) -8x
Answer:
[tex] \huge{ \fbox{ \sf{7x - 20}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: 5(3x - 4) - 8x}}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 5 \: through \: the \: parentheses}[/tex]
[tex] \mapsto{ \sf{5 \times 3x - 5 \times 4 - 8x}}[/tex]
[tex] \mapsto{ \sf{15x - 20 - 8x}}[/tex]
[tex] \text{Step \: 2 \: : Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \mapsto{ \sf{15x - 8x - 20}}[/tex]
[tex] \mapsto{ \boxed{\sf{7x - 20}}}[/tex]
[tex] \sf{Hope \: i \: helped!}[/tex]
[tex] \sf{Best \: regards!!}[/tex]
~[tex] \rm{TheAnimeGirl}[/tex]
Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches
Answer:
V = πr²(h/3)
Step-by-step explanation:
83.74 = πr²(5/3)
R = 4.00 in
Diamater = 2r = 2 x 4.00 = 8 inches
What is the value of x in this equation? 5x − 2(2x − 1) = 6
Answer:
x=4
Step-by-step explanation:
first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2
the equation would then be 5x-4x+2=6
add the x's together which turns the equation to 1x+2=6
minus 2 from both sides of the equation which gives you x=4
The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine the value of x in the equation
Given that the equations as :
⇒ 5x − 2(2x − 1) = 6
Open the parentheses and apply the multiplicative property,
⇒ 5x - 4x + 2 = 6
Apply the subtraction operation in the terms of x
⇒ x + 2 = 6
⇒ x = 6 - 2
⇒ x = 4
Therefore, the required value of x would be 4 in the equation
Learn more about the equation here:
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Farmer Hank has fewer than 100 pigs on his farm. If he groups five to a pen, there are always three pigs left over. If he groups the pigs seven to a pen, there is always one left over. However, if he groups the pigs three to a pen, there no pigs left. What is the greatest number of pigs that Farmer Hank could have on his farm?
Answer:
the answer is 99
Step-by-step explanation:
9(Y+2)=
Distributive Property & Combining Like
Answer:
9y+18
Step-by-step explanation:
Distribute the 9 to the terms in the parentheses.
9(y)+9(2)
9y+18
Give two different ways to write each expression in words
Answer:
Sometimes in math we describe an expression with a phrase. For example, the phrase
"222 more than 555"
can be written as the expression
2 + 52+52, plus, 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
For example,
"333 more than xxx"
can be written as the algebraic expression
x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
Step-by-step explanation:
3n-5=8(6+5n) addition property of equality
Answer:
exact form: n=-53/37
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
The properties used:
a) Distributive Property.
b) Combining Like Terms.
c) Division Property of Equality.
Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.
Let's solve the equation step by step:
3n - 5 = -8(6 + 5n)
First, we will distribute the -8 to the terms inside the parentheses:
3n - 5 = -48 - 40n
Next, we can simplify the equation by combining like terms:
3n + 40n = -48 + 5
43n = -43
Now, to isolate n, we will divide both sides of the equation by 43:
(43n)/43 = (-43)/43
n = -1
The solution to the equation is n = -1.
Learn more about Property of Equality click;
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The coordinates of the vertices of a triangle are 2,3 5,1 and 6,4 after one reflection the coordinates of the vertices of the triangle’s image are (2,-3) (5,1) and (6,-4). Over what line has the triangle been reflected?
Answer:
it is being reflected by the x axis
Help i don’t know the answer to this
Answer:
95°
Step-by-step explanation:
∠SRW is a vertical angle with respect to the one marked 95°. As such, it will have the same measure: 95°.
m∠SRW = 95°
What is an algebraic equation?
Answer:
algebraic equation is an equation of the form
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Choose the equation to match the situation
Answer:
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
Step-by-step explanation:
From the given information:
Let consider x to be the of volume 40% solution
therefore the volume of 5% is said to be:
10 L= 40% solution volume + 5% solution volume
10 L= (x + 5%) solution volume
making 5% solution volume the subject; we have
5% solution volume= 10 L - x
To estimate the value of the volume, we now have:
Volume of 20% × Concentration of 20%= (Volume of 40% × concentration40%) + (Volume of 5% × Concentration of 5% )
∴
10L × 20%= (x) L × 35% + 10 L × 5%
(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15
[tex]x L = 10L \times \dfrac{15}{35}[/tex]
x = 4.28 L
x [tex]\simeq[/tex] 4.3L
∴
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
can someone please help me
Answer:
8^18
Step-by-step explanation:
8^15+3
8^18
Two minor league baseball players got a total of 314 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington has 159 hits and Sanchez has 155 hits.
Step-by-step explanation:
First, divide 314 by 2 (the number of players), then add 2 for Washington and subtract 2 for Sanchez.
A baseball pitcher has pitched 89 innings. What is the number of innings written as a decimal?
3
2
The number of innings 89 written as a decimal is
Answer:
I think its 0.89
Step-by-step explanation:
Jacki evaluated the expression below. 2 cubed (3 minus 1) + 4 (8 minus 12) = 2 cubed (2) + 4 (4) = 8 (2) + 16 = 16 + 16 = 32. What was Jacki’s error? Jacki should have simplified the exponent first. Jacki should have multiplied 4 and 8 first. Jacki did not subtract 12 from 8 correctly. Jacki should not have multiplied
Answer:
jacki did not subtract 8 minus 12 properly.8 minus 12 equals -4
Answer:
its c
Step-by-step explanation:
on edunuity
if a cubic container has a side length of 50.0cm, what is the volume in liter?
Answer:
The answer is
125 litresStep-by-step explanation:
To find the volume in liter we must first find the volume in cm³
Since the container is cubic
Volume = l³
where l is the length of one side
From the question
l = 50.0 cm
Volume = 50³
= 125000 cm³
Next we use the conversion
1cm³ = 0.001 L
If 1 cm³ = 0.001 L
Then 125,000 cm³ = 125,000 × 0.001 L
We have the final answer as
125 litresHope this helps you
Using the volume of a cube, and conversion of units, it is found that the volume of the cube is of 125 liters.
---------------------
The volume of a cube of side s is given by:
[tex]V = s^3[/tex]
---------------------
Side length of 50cm means that [tex]s = 50[/tex].Thus, the volume, in cubic centimetres, is given by:
[tex]V = 50^3 = 125000[/tex]
---------------------
To convert the volume from cubic centimetres to liters, it is divided by 1000.Then:
[tex]\frac{125000}{1000} = 125[/tex]
The volume of the cube is of 125 liters.
A similar problem is given at https://brainly.com/question/23514867
HELP ME ASAP
Select the correct answer. What is the solution to the equation 4x - 8 = -8? A x = 0 B. No solutions exist. OC. OD X = -4 or x = 4
Answer:
the answer is A
Step-by-step explanation:
because if you listen in math class you will understand why-
Answer:
A: x = 0
Step-by-step explanation:
Fatima highlighted columns 3 and 8 in the multiplication table below to find equivalent ratios.
1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9
22 4 6 8 10 12 14 16 18
3 3 6 9 12 15 18 21 24 27
4 4 8 12 16 20 24 28 32 36
5 5 10 15 20 25 30 35 40 | 45
6 6 12 18 24 30 36 42 48 54
7 7 14 21 28 35 42 49 56 63
8 8 16 24 32 40 48 56 64 72
9 9 18 27 36 45 54 63 72 81
Which ratio is equivalent to 8:32
O 12:32
24:3
40:15
64:9
Save and Exit
Answer:
the answer is 40:15
Step-by-step explanation:
Answer:
answer 40:15
Step-by-step explanation:
what is the answer to this n+3/8 = -4 solve for n pls :)
1 Which proputy is illustrated by the equation
ax +ay=a(x+y)?
1) associative
2 2) commutative
3) distributive
4) identity
Answer:
its a distributive property..
Solve the inequality. A. >> O B. x >7 C. x>-5 ) D. x
Answer:
A. [tex] x > \dfrac{7}{3} [/tex]
Step-by-step explanation:
[tex] 8(\dfrac{1}{2} x - \dfrac{1}{4}) > 12 - 2x [/tex]
Distribute the 8 on the left side.
[tex] 4x - 2 > 12 - 2x [/tex]
Add 2x to both sides. Add 2 to both sides.
[tex] 6x > 14 [/tex]
Divide both sides by 6.
[tex] x > \dfrac{14}{6} [/tex]
Reduce 14/6 by dividing the numerator and denominator by 2.
[tex] x > \dfrac{7}{3} [/tex]
I need help asap!! pls!
Answer:
k = [tex]\frac{11}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)
m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )
4k = 11 ( divide both sides by 4 )
k = [tex]\frac{11}{4}[/tex]
Answer:
k= 11
4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5
how do you solve (5^{2} - 1) ÷ 6
[tex]( {5}^{2} - 1) \div 6 = [/tex]
[tex](25 - 1) \div 6 = [/tex]
[tex]24 \div 6 = 4[/tex]
Note:
Do the square first, and then you do mathematic operation between the parentheses. And, then do the
mathematic operation in the outside of parentheses.
Thank you.
Answer:
4Step-by-step explanation:
[tex]\left(5^2-1\right)\div \:6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5^2-1\right)\::\quad 24\\=24\div \:6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:24\div \:6\:\\:\quad 4[/tex]
2. Which of the following is not an example of
a perfect square?
a. 9 +
b. 200
c. 4
.
d. 64
Answer:
B. 200
Step-by-step explanation:
A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on