Answer:
The number 1 can be classified as: a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because 1 is a RATIONAL number
The height (in ft) of an object over time(in seconds) is modeled by the function h(t)=-6t^2+23t+7. How high is the object after 3 seconds?
About 4.1 seconds. How long was the ball in the air? We are told that t represents time in seconds since the ball was thrown, so it started to be 'in the air' at t = 0 To answer the question, then, we need to know the time when it stopped being in the air. We are told that the ball hit the ground. So that's what happened when it stopped being airborne. We need to relate that event to the mathematics we're working with. What can we say about h , the height of the ball when the ball hits the ground? Answer: The height will be 0 when the ball stops being in the air. Now translate this back to the mathematics: The ball is in the air from t = 0 until the time t when h = 0 . Find the time t that makes h = 0 . That means: solve: − 5 t 2 + 20 t + 2 = 0 We can solve this by solving: 5 t 2 − 20 t − 2 = 0 (Either multiply both sides of the equation by − 1 , or add 5 x 2 − 20 x and − 2 to both sides and then re-write it the other way around) That's a quadratic equation, so try to factor first. But don't spend too much time trying to factor, because not every quadratic is easily factorable and that's OK, because we still have the quadratic formula if we need it. We do need it. t = − ( − 20 ) ± √ ( − 20 ) 2 − 4 ( 5 ) ( − 2 ) 2 ( 5 ) = 20 ± √ 440 10 = 20 ± √ 4 ( 110 ) 10 = 20 ± 2 √ 110 10 = 2 ( 10 ± √ 110 ) 2 ( 5 ) = 10 ± √ 110 5 We can see that 10 < √ 110 < 11 . In fact ( 10 + 1 2 ) 2 = 10 2 + 10 + 1 4 = 110.25 Using 10.25 as an approximation for √ 110 , we get : for the solution t = 10 − √ 110 5 we'll get a negative t . That doesn't make sense. The other solution gives t ≈ 10 + 10.25 5 = 20.5 5 = 4.1 seconds. So the ball was in the air from t = 0 until about t = 4.1 . The elapsed time is the difference, 4.1 seconds.
help agin please number 8
Answer:
G
Step-by-step explanation:
5 + 7 > 9
12 > 9
5 + 9 > 7
14 > 7
7 + 9 > 5
16 > 5
Answer:
G as
5+7 more than 9
5+9 more than 7
7+9 more than 5
1.
Complete the statement.
134.7g= ? mg
A. 13.47
B. 134,700
C. 0.1347
D. 13,470
Answer:
B. 134,700
Step-by-step explanation:
m = [tex]\frac{1347}{10} = 134.700[/tex]
g = 0
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "134.7" was replaced by "(1347/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(1347/10)*g-(m*g)=0
Step by step solution :
STEP
1
:
1347
Simplify ————
10
Equation at the end of step
1
:
1347
(———— • g) - gm = 0
10
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 10 as the denominator :
gm gm • 10
gm = —— = ———————
1 10
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1347g - (gm • 10) 1347g - 10gm
————————————————— = ————————————
10 10
STEP
3
:
Pulling out like terms :
3.1 Pull out like factors :
1347g - 10gm = -g • (10m - 1347)
Equation at the end of step
3
:
-g • (10m - 1347)
————————————————— = 0
10
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-g•(10m-1347)
————————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-g • (10m-1347) = 0
Theory - Roots of a product :
4.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.3 Solve : -g = 0
Multiply both sides of the equation by (-1) : g = 0
Solving a Single Variable Equation:
4.4 Solve : 10m-1347 = 0
Add 1347 to both sides of the equation :
10m = 1347
Divide both sides of the equation by 10:
m = 1347/10 = 134.700
Two solutions were found :
m = 1347/10 = 134.700
g = 0
write and equation to solve for x.
what is the value of x?
John belongs to a boating club that rents sailboats for $60 for the first hour and $20 for each additional hour. After renting a boat one day, he owed the boating club a fee of $140.
Write and solve an equation to find how many hours he kept the boat.
Answer:
4 Hours
Step-by-step explanation:
The original boating fee is $60 then you add $20 per hour so 20 x 4 = 80
80+60=140 $140
Answer: 140=60+20x. He kept the boat for 4 hours
Step-by-step explanation:
x=hours
y=final cost and the final cost is $140
to find x you would use the equation: 140=60+20x
you would first subtract 60 from both sides and you would get:
80=20x
Now you would divide 20 from both sides
So x is 4
Does any one know how to do determining the GFC
Answer:
Yes, GCF stands for (greatest common factor)
so to find it do this:
List the prime factors of each number.
Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
Multiply all the circled numbers. The result is the GCF.
Step-by-step explanation:
Original price of an SUV: $42,000.00
Tax: 3%
Answer:15
Step-by-step explanation:
2 questions please help
9514 1404 393
Answer:
1. (d) 151 in
2. (a) 43.3 in
Step-by-step explanation:
1. The circumference is ...
C = 2πr
C = 2(3.14)(24 in) = 150.72 in
C ≈ 151 in
__
2. C = 2πr
r = C/(2π) = 272.2 in/(2·3.14) ≈ 43.3439 in
r ≈ 43.3 in
Answer:
1.Option 4
2.option 1
Step-by-step explanation:
1.circumference of circle=2πr=2π×24=48π or 151in
2.circumference of circle=2πr
272.2=2πr
r=272.2/(2π)=43.3in
Where can parentheses be placed in the expression so that it has a value of 500?
6+23−4 ⋅ 3
Answer:
(6 + 2)³ - 4 x 3
Step-by-step explanation:
Why couldn’t you live without your tv 5 sentences!!!!
Answer:
because would die of boredom .and i wouldn't have Netflix or Hulu.and i would have nothing to look forward. to when i come home from school i would have to just go and do homework. and without TV you would not have a news channel so you wouldn't know things to are important to life.
Step-by-step explanation:
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot. When H = 8, T = 120. Work out T when H = 10
Answer:
T = 96
Step-by-step explanation:
From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:
T ∝ 1/H
T = K/H
Cross multiply
K = TH
Next, we shall determine the value of K. This can be obtained as follow:
H = 8
T = 120
K =?
K = TH
K = 120 × 8
K = 960
Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:
H = 10
K = 960
T =.?
T = K/H
T = 960/10
T = 96
What is 6 meters in inches? (solution)
Answer:
6 meters =
236.22 inches
Answer:
6meters=236.2inches
Step-by-step explanation:
Hope this helps! :)
Help me please and thank you :)
Answer:
15%
Step-by-step explanation:
Answer:
9%
Step-by-step explanation:
30+15+40+20+35+25
=165
blue M&M=15
15/165=x/100
x=9
La expresión decimal de 28/6 es
1 punto
A. 4,6666...
B. 4,666
C. 4,66
D. 4,6
find the area of the shape below
Answer:
60
Step-by-step explanation:
10.3+13.7=24
24x5=120
120/2= 60 (divided by half)
ANSWER IS 60
Answer:
60
Step-by-step explanation:
Just multiply the numbers together
1.
Write a function rule for the table.
A. h = 6.25p
B. p = h + 12.5
C. p = 12.5h
D. p = 6.25h
Answer:
D. p = 6.25h
Step-by-step explanation:
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00
A figure is shown, where triangle ABC is similar to triangle ADE. The location of point A is (1.2,2.1). The line connections points A,B, and D passes through the origin. What is a possible order pair for point D
Answer:
8 and 14 im 100% sure its 8 and 14
Step-by-step explanation:
The possible order pair for the point D is (0, 0.72)
What is the similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Triangle resemblance is shown here by the symbol "≈"
Since triangle ABC is similar to triangle ADE, the corresponding sides of these triangles are proportional.
Let's denote the length of AB as x and the length of AD as y. Then, we can write:
AB/AD = BC/DE
Substituting the values from the figure, we get:
x/y = 5/3
Multiplying both sides by y, we get:
x = (5/3)
x = (5/3)y
Substituting x = 1.2 (the x-coordinate of point A) and solving for y, we get:
1.2 = (5/3)y
y = (3/5)(1.2)
y = 0.72
Therefore, a possible order pair for point D is (0, 0.72).
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find x and y in
(i) 23x- 29y= 98 and 29x -23y =110
(ii) 99x +101y =499 and 101x +99y =501
Answer:
23 x-29y=98.......(1)
29 x-23y=110.......(2)
adding (1) and (2)we get
52 x-52y=208
52(x+y)=208
x-y=4...(3)[we get four by dividing 208 with 52]
subtract (2) from (1) we get
-6 x-6y=-12
x-y=2.....(4)
adding (3) and (4) we get
2x=6
therefore x=3
now from (4) we get
x-y=2 [we substitute xfor 3]
3-y=2
y=2-3
y=-1( that is the answer for your first question)
Step-by-step explanation:
99x+101y=499.....(1)
101x+99y=501.....(2)
add (1) and (2)
(99+101)x+(101+99)=(499+501)
200x+200y=1000
200(x+ y)=1000
x+y=5.....(3)
subtract (2)from(1) we get
2x-2y=2
2(x-y)=2
x+y=1.......(4)
x+y=5
x-y=1(add them together)
2x=6
x=3
substitute x equal to 3 in equation (3)
x+y=5
3+y=5
y=2
y equal to 2 and x equal to 3
hope is not too latedivide 4a³ - 14a² + 6a by a - 3
Answer:
The answer to the question is
[tex]4a { }^{2} - 2a[/tex]
Have a good day
A plant is already 51 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters),
after m months is given by the following function.
H (m) - 51+ m
What is the plant's height after 27 months?
Answer:
78 becayse u take 51 and add 27
Answer:
78
Step-by-step explanation:
just add them to get it it might sound hard but it's pretty easy
Explain why the data is misleading! PLZ HELP ASAP FIRST TO GET RIGHT WINS BRAINLIEST!!!!!
Answer:
6: the scale is by 2s, which spreads the data out more.
7: more saxophones can fit in the box than the others.
(x + 7)^2 – 11 = 0
lesser =
greater r =
Answer:
Lesser r = - 7 - √11 or -10.32 to nearest hundredth.
greater r = - 7 + √11 or -3.68 to nearest hundredth.
Step-by-step explanation:
(x + 7)^2 – 11 = 0
(x + 7)^2 = 11
x + 7 = ±√11.
Who can help me out with this please??
Answer:
i can't sorry
Step-by-step explanation:
Which expression is equivalent to
(r-7)6?
Answer:
Step-by-step explanation:
The expression equivalent to
[tex]( r^{-7})^{6} \\is\\\frac{1}{r^{42} }[/tex]
Hope it helps :)
if you have a juicebox and you drink that juicebox and throw away the juicebox... how many juice boxes do you have left? this is worth 60 points and I will give brainliest
a. 34
b. 145
c. 0
Answer:
0
Step-by-step explanation:
Because if you drank the jukebox and threw it away you wouldn't have anymore
3y - 21 = 12x
Help please
Help........Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enough batter to make 60 cookies. She decides to randomly assign 15 cookies to be baked at 300°, 15 at 325°, 15 at 350°, and 15 at 375°. The baking time for each batch is 12 minutes. Which statement about the randomization for the completely randomized design is correct? Betty should place the first 15 balls of cookie dough that she scoops from the batter on a tray, and those will be baked at 300°. The next 15 will be placed onto a second tray to be baked at 325°. She should continue in this manner until all 60 cookies have been placed on trays. Betty should scoop a ball of cookie dough from the batter, and then roll a die. Numbers 1–4 would indicate at which temperature the cookies will be baked, and 5–6 would indicate that she should roll again. She should repeat this process until all 60 cookies have been allocated. Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated. Betty should place the first cookie on a tray to be baked at 300°. The second cookie will go on a tray to be baked at 325°, the third will go on a tray to be baked at 350°, and the fourth will go on a tray to be baked at 375°. She will continue placing the cookies in this pattern until all 60 cookies are on trays to be baked.
Answer: Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.
Step-by-step explanation: I just got it correct on Edge :)
The true option about the randomized design is (c) Betty should prepare all 60 cookies. Each cookie will receive a number. The numbers will be written on slips of paper, put into a hat, and shuffled well. The first 15 numbers drawn will indicate the cookies to be baked at 300°, the next 15 will indicate the cookies to be baked at 325°, and so on until all 60 cookies are allocated.
The given parameters are:
[tex]\mathbf{n = 60}[/tex]
[tex]\mathbf{Batches = 4}[/tex]
[tex]\mathbf{Cookies= 15}[/tex] ---- the number of cookies in each batch
[tex]\mathbf{Temperature= 300,325,350,375}[/tex]
To randomly assign the cookies to the given temperatures, all cookies have to be subjected to the same conditions (except the difference in the temperature).
This means that, she can bake all the cookies at once at different temperatures, while noting down the cookies with a given number.
Hence, the true option is (c)
Read more about randomization at:
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please find the median!!!
will give brainliest!!!
Answer:
8, 10, 15, 16, 17, 17, 22
16 is the median
Step-by-step explanation:
Answer:
median is 16
Step-by-step explanation:
Find the degree of this polynomial.
–10g2 + 4
please help!
Complete the sentences to describe the function f (x) = StartFraction 2 x squared + 16 x Over 16 x cubed minus x EndFraction.
The function is discontinuous at x =
.
To create the extended function, add f(x)=
.
Answer:
0 & -16,x=0
Step-by-step explanation:
The function is discontinuous at x = 0, x = 1/4 and x = -1/4.
To create the extended function, add f(x) = 0.
What does it mean when a function is discontinuous?A function is discontinuous when the f(x) cannot be defined.
What is an extended function?An extended function aims to make the function continuous at some values of the variable.
It is given that:
[tex]f(x)=\frac{2x^{2}+16x}{16x^{3}-x}[/tex]
StepsStep 1 of 2:The function becomes discontinuous when the denominator becomes zero.
∴ 16x³ - x = 0
⇒ x(16x² - 1) = 0
⇒ x = 0 and 16x² -1 = 0
This is further simplified:
16x² -1 = 0
x² = 1/16
x = ±1/4
This means that the function is discontinuous at x = 0, x = 1/4 and x = -1/4.
Step 2 of 2:The function can be extended as follows:
[tex]f(x)=\frac{2x^{2}+16x}{16x^{3}-x}\\f(x)= \lim_{x \to 0} \frac{2x^{2}+16x}{16x^{3}-x}\\= \lim_{x \to 0} \frac{x(2x+16)}{x(16x^{2}-1)}\\= \lim_{x \to 0} \frac{2x+16}{16x^{2}-1}\\[/tex]
We do not have to add anything to f(x) to extend it. Hence zero can be added to it.
Therefore, we have found that the function is discontinuous at x = 0, x = 1/4 and x = -1/4, and that we can create the extended function by adding 0.
Learn more about discontinuity here: https://brainly.com/question/1417220
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