Answer:
After t = 1.67 seconds, the rocket will have reached a height of 250 centimeters.
Step-by-step explanation:
Given
[tex]h = -90t^2 + 300t[/tex] --- correct expression
Required: When does height = 250 cm
To do this, we have:
[tex]h = 250[/tex]
This gives:
[tex]250 = -90t^2 + 300t[/tex]
Rewrite as:
[tex]90t^2 - 300t + 250 = 0[/tex]
Divide through by 10
[tex]9t^2 - 30t + 25 = 0[/tex]
Expand
[tex]9t^2 - 15t - 15t + 25 = 0[/tex]
Factorize:
[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]
[tex](3t - 5)(3t - 5) = 0[/tex]
This gives:
[tex]3t - 5 = 0[/tex]
Solve for 3t
[tex]3t = 5[/tex]
Solve for t
[tex]t = \frac{5}{3}[/tex]
[tex]t = 1.67s[/tex]
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation. (4,-6) y=-3/4x+1
Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest number of necklace she can make with the beads is 162. Marias. Work is shown here
The question is incomplete:
Ava makes bead necklaces. She has a total of 6048 beads. Each necklace has 24 beads. Her friend maria says that the greatest number of necklace she can make with the beads is 162. Marias. Work is shown here. Explain why Maria is incorrect and how she can find the correct answer.
Answer:
Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.
Step-by-step explanation:
You can find the number of necklaces Avan can make by dividing the number of beads she has by the amount in each necklace:
6048/24=252
According to this, you can say that Maria is incorrect because when you divide the number of beads by the beads in each necklace, you find that she can make 252 necklaces.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the quadratic expression below.
Answer:
x = -3 and x = 2
Step-by-step explanation:
The expression for the quadratic equation is as follows:
(x+3)(x-2)
For (x+3)(x-2) to equal 0, either (x+3) or (x-2) must be equal to 0. So,
(x+3) = 0 and (x-2) = 0
It implies,
x = -3 and x = 2
So, the values of x are -3 and 2.
Please help.
a+67a+3ab-2ab-1=
Answer:
68a+ab-1
Step-by-step explanation:
Have a good day!
What is the equation of the line that passes through (0, 2) and (3, - 4)
What is the twelfth term in the sequence with nth term formula 5/6+1/2n? Give your answer as a top-heavy fraction in its simplest form.
Given:
The formula for nth term of a sequence is:
[tex]\dfrac{5}{6}+\dfrac{1}{2}n[/tex]
To find:
The 12th term in the given sequence.
Solution:
Consider the formula for nth term of a sequence:
[tex]a_n=\dfrac{5}{6}+\dfrac{1}{2}n[/tex]
Putting [tex]n=12[/tex], we get
[tex]a_{12}=\dfrac{5}{6}+\dfrac{1}{2}{12}[/tex]
[tex]a_{12}=\dfrac{5}{6}+6[/tex]
[tex]a_{12}=\dfrac{5+36}{6}[/tex]
[tex]a_{12}=\dfrac{41}{6}[/tex]
Therefore, the 12th in the given sequence is [tex]\dfrac{41}{6}[/tex].
Need someones help on this!
Answer:
1st, 3rd, and 4th box.
Step-by-step explanation:
9^5=59049
9^2=81 9^3=729 729*81=59049 yes
9^5=59049 59049x9=531441 no
9^4=6561 6561*9=59049 yes
9^2=81 81x81=6561 6561*9=59049 yes
9^3=729 729x729=531441 no
Answer:
The answer is the third one or (9^(4) (9)
Step-by-step explanation:
Mr. White is renting an oversized truck for one week and a few additional days d. He does not have to pay a per mile fee. Evaluate the expression 325+100d to find how much he will pay for a 13-day rental. Each day = $100
Answer:
$1,625
Step-by-step explanation:
Given:
Total cost = 325 + 100d
Where,
325 = fixed cost
100 = cost per day
d = number of days
Find the total cost when d = 13 days
Total cost = 325 + 100d
= 325 + 100d
= 325 + 100(13)
= 325 + 1,300
= 1,625
Total cost = $1,625
Simplify: 36.6 ÷ (12)
Answer:
Hi! The answer to your question is [tex]3.05[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
3. Find the values of x, y, and z. *
125°
Answer:
Your question is Incomplete....
Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?
Answer:
1.41 kilograms
Step-by-step explanation:
Given data
290-gram bag of gummy worms
450-gram bag of sour keys
670-gram bag of chocolate-covered almonds
In all, she bought
=290+450+670
=1410grams of candy
Now let us convert from grams to kilograms
1000grams is equal to 1 kilogram
hence 1410 grams will be x
cross multiply
1000x= 1410
x= 1410/1000
x= 1.41 kilograms
help with this please lol
Answer:
x = 107
Step-by-step explanation:
44+29+107=180
a triangle equals 180 with all the degrees added together :)
this is another question we cant figure out this is like multiple answers to it so yea pls help.
do it in your own answer
Solve for .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
43 +4 < 92 +8
Answer:
[tex]x > -\frac{24}{19}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x + 4 < \frac{9}{2}x + 8[/tex]
Required
Solve for x
Collect like terms
[tex]\frac{4}{3}x - \frac{9}{2}x < 8-4[/tex]
[tex]\frac{4}{3}x - \frac{9}{2}x < 4[/tex]
Take LCM
[tex]\frac{8x - 27x}{6} < 4[/tex]
[tex]\frac{-19x}{6} < 4[/tex]
Multiply by 6
[tex]6 * \frac{-19x}{6} < 4 * 6[/tex]
[tex]-19x < 24[/tex]
Divide by -19
[tex]x > -\frac{24}{19}[/tex]
What is the mean? 2, 4, 7, 5, 8, 10
Remember- add all the
numbers, and then divide by the total
amount of numbers
6
9
5
36
Answer:
6
Step-by-step explanation:
2+4+7+5+8+10
=36÷6
=6
Solve the equation and determine the value of t.
t + 38 = 420
t =
Answer:
[tex]t=382[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}38\mathrm{\:from\:both\:sides}[/tex]
[tex]t+38-38=420-38[/tex]
[tex]=382[/tex]
Answer:
[tex] \displaystyle t = 382[/tex]
Step-by-step explanation:
we are given a equation
we want to figure out t
to do so
recall that
addition equality propertySubstraction equality propertymultiplication equality propertydivision equality propertytherefore
if we substract 38 from both sides it won't affect the equality
so
[tex] \displaystyle t + 38 - 38 = 420 - 38 \\ \therefore \: t = 382[/tex]
let's verify it
[tex] \displaystyle382 + 38\stackrel{?}{=}420[/tex]
simplify addition:
[tex] \displaystyle420\stackrel{ \checkmark}{=}420[/tex]
hence, verified!
1.There are 270 students at an elementary school. There are 5 boys for every 4 girls. How many boys attend the school?
2. 4 small candies cost $0.96. How much do 6 candies cost?
3. 3 bags of chips cost $5.55. How much does 2 bags of chips cost?
4. 5 movie tickets cost $55. At this rate, what is the cost per ticket?
Answer:
Step-by-step explanation:
1. Not sure...
2. $ 1.44
3. $ 3.70
4. $11 per ticket
Find the radius of the button.
3 and 1/2 in
radius:
Answer:1.75
Step-by-step explanation:
formula= R= D/2
convert 3 1/2 into a decimal
3.5
do 3.5 divided by 2 (R= 3.5/2) = 1.75
so the Radius is 1.75 inches !! hope this helped :)
The radius of the button 3 and 1/2 in would be; 1.75
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
The formula= Radius= D/2
Now convert 3 and 1/2 into a decimal;
3.5
Now, 3.5 divided by 2 (R= 3.5/2)
= 1.75
Hence, the Radius is 1.75 inches .
Learn more about circle here;
brainly.com/question/12512221
#SPJ2
The slope of AB of problem 7 is
Answer:
Slope of line is 0 and intercept is 7 Step-by-step explanation:
please help me with this question
Pls helpp
Fr
Algebra
Answer:((2x^3)^4)/1x^2
Step-by-step explanation:
(2x^3)^4)=((2x)^4)(^3 times ^4)=16x^12
16x^12/1x^2=(16x/1x)(x^12-2)
what is the solution of x equals 2 + sqrt x - 2
a.) x=2
b.)x=3
c.)x=2 or x=3
d.) no solution
Answer:
x = 2 or x = 3
Step-by-step explanation:
x = 2 + sqrt(x - 2)
x - 2 = sqrt(x - 2) You could divide both sides by sqrt(x - 2)
sqrt(x - 2) = 1 Square both sides
x - 2 = 1 Add 2 to both sides
x = 3
There is a second way.
x - 2 = sqrt(x - 2) Square
x^2 - 4x + 4 = x - 2 Transfer x - 2 to the left
x^2 - 5x + 6 = 0 Factor
(x - 2)(x-3) = 0 Find the roots.
x - 2 = 0
x = 2
x - 3 = 0
x = 3
We have to check both results.
x = 2 + sqrt(x - 2)
2 = 2 + sqrt(2 -2)
2 = 2 + 0
2 = 2 This seems to work.
x = 2 + sqrt(x - 2)
3 = 2 + sqrt(3 - 2)
3 = 2 + sqrt(1)
3 = 2 + 1
3 = 3 And this works.
The scatter plot shows the relationship between backpack weight and student weight. Which statement describes the data shown in the scatter plot?
A) A potential outlier at (12, 50).
B) A potential outlier at (50, 12).
C) A cluster between a student weight of 40 kg to 70 kg.
D) A cluster between a backpack weight of 4 kg to 12 k
Answer:
the answer is B on USA Prep
Step-by-step explanation:
"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.
What is the line of best fit?A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Given:
The scatter plot shows the relationship between backpack weight and student weight.
From the given choices:
An outlier is a value that nowhere near the range of the data set.
From the scatter plot:
A potential outlier at (50, 12).
Therefore, a potential outlier at (50, 12).
To learn more about the line of the best fit;
https://brainly.com/question/14279419
#SPJ6
Use the drop-down menus to complete the statements.
42 is _______32 + 32.
Therefore, △JKL is _________
52 is ________32 + 42.
Applying the same method, △ABC is ________
Answer:
See Below.
Step-by-step explanation:
Remember that:
If c² > a² + b², then we have an obtuse triangle. If c² < a² + b², then we have an acute triangle. And if c² = a² + b², then we have a right triangle.Where c is the longest side, and a and b are the two remaining sides.
[tex]4^2\text{ is }\textbf{ less than (or $<$) } 3^2+3^2[/tex]
[tex]\text{Therefore, }\Delta JKL \text{ is }\textbf{an acute triangle.}[/tex]
(16 is less than 9 + 9 or 18.)
[tex]5^2\text{ is } \textbf{equal to (or $=$) } 3^2+4^2[/tex]
[tex]\text{Applying the same method, $\Delta ABC$ is }\textbf{ a right triangle.}[/tex]
(25 is equal to 9 + 16 = 25.)
Answer:
less then
acute
equal to
right
Step-by-step explanation:
an icecube has a mass of 18g and a volume of 20cm3 what is the density
Answer:
.9 g/cm^3
Step-by-step explanation:
density formula is mass divided by volume.
d=m/v
d=18g/20cm^3
d=0.9
The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.
Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?
Answer:
x, y) → (1.5x, 1.5y)
Step-by-step explanation:
X^2-2(x+5)
Help me PLSSS
Answer:
hope this helpss
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have to simplify it then distribute -2
x²-2(x+5)=x²-2x-10
if problem is as mentioned by other answerer,then
[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]
If c ⊥ b and a || c, what is m∠2?
Answer:
A) 90°
Step-by-step explanation:
if lines b and c are perpendicular then all 8 angles measure 90 degrees
y varies directly with the cube of x
y = 108 when x = 3
Express y In terms of x
Answer:
y = 36x
Step-by-step explanation:
y varies directly with x ,
that is y [tex]\propto[/tex] x
Let k be constant
=> y = kx
=> 108 = k(3)
=> k = 108/3
=> k = 36
y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
36
Step-by-step explanation:
There are 30 red marbles and the ratio of black to yellow is 4/5, so 4/5=orange/green=orange/30.
30 is 6 times 5, so black=6 times 4=24. There are 24 black marbles.
Total of black and yellow=24+30=54.
40% of the marbles are green so 60% are black/yellow. Also 60% is 54 marbles.
60% is 60/100=3/5 so 3/5 of the total is 54 marbles, therefore 1/5 is 54/3=18 and 2/5 is the number of red marbles=2 times 18=36 red marbles.
to be honest i can't think of anything original for the visual thing, but i think the pi chart from the person above me would work well
Answer: 36
Step-by-step explanation: 2/5 of marbles are red, and 4:5 ratio is multiplied by 6 because there are 30 yellow marbles and so 3/5 of the marbles are 54 and 2/5 are 36. For visual model draw a pi chart with 40% red, 33% yellow, and 27% black.