By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.
When the ball is thrown?The height equation is:
h(t) = -14*t^2 + 28*t
When t = 0, we have: h(0) = 0
So it is in the ground, meaning that it is thrown at the time t = 0.
How long does it take to hit the ground?We need to find the other root of the quadratic equation, so we need to solve:
-14*t^2 + 28*t = 0
We can rewrite this as:
t*(-14*t + 28) = 0
The parenthesis is zero when:
-14*t + 28 = 0
t = 28/14 = 2
So at t = 2, the ball hits the ground.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
Simplify −4(x+1)+6x . Write your answer in factored form.
Answer:
2(x - 2)
Step-by-step explanation:
- 4(x + 1) + 6x ← distribute parenthesis by - 4
= - 4x - 4 + 6x ← collect like terms
= 2x - 4 ← factor out 2 from each term
= 2(x - 2)
=================================================
Let's simplify this expression.
The first step is to use the distributive property, which states:-
[tex]\bigstar{\boxed{a(b+c)}[/tex]
Simplify:-
[tex]\bigstar{\boxed{-4(x+1)}[/tex]
[tex]\longmapsto\sf{-4x-4}[/tex]
Add 6x:-
[tex]\longmapsto\sf{-4x+6x-4}[/tex]
Combine Like Terms:-
[tex]\longmapsto\sf{2x-4}[/tex]
Now, we should write our answer in factored form, so we factor 2 out:-
[tex]\longmapsto\sf{2(x-2)}[/tex]
=============================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two people know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days
NEED ASAP!!!!!
The graph shows a school's profit for selling lunches
on pizza day. What is the cost for selling 100
lunches? You must show your work.
Answer:
The cost for selling 100 lunches is 150 dollars.
Step-by-step explanation:
First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.
How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)
the formula for finding the slope is:
[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]
where (x1, y1) is coordinates of first point in the line
where (x2, y2) is coordinates of second point in the line
[tex]\frac{45-(-90)}{65-20} = 3[/tex]
m = 3
y = 3x + b
now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)
0 = 3(50) + b
find b using algebra:
0 = 150 + b
b = -150
Yay! we found b, now we have the equation y = 3x - 150
(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)
now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.
y = 3(100) - 150 = 150
therefore the cost is 150 dollars.
hope this helps, tell me if you misunderstood something.
a fast food chain surveyed a random sample of students to determine what pizza they prefer.cheese pizza was preferred by 40 students.pepperoni pizza was preferred by 28 students.based on the results,how many of 340 student can be expected to prefer cheese pizza
Answer:
12%, 0.12, 5/17, or as a ratio: 5:17
Step-by-step explanation:
To find the percentage:
Take the 40 students who prefer cheese and divide it by 340:
0.11764705882 rounded would be 0.12.
Convert 0.12 into 12% of students prefer cheese pizza.
To find the decimal, to the same exact thing I did up there, but, don't turn it into a percent, just leave it as 0.12.
To find the fraction, turn it into:
40/340
Then simplify it:
5/17 prefer cheese pizza.
For ratio, do the same as fraction, but, instead of the slash mark, turn it into a colon like this: 5:17.
:)
What is the slope-intercept equation for this line?
Answer:
y=-2x-1
Step-by-step explanation: This is because of rise/run. This means rise, count up or down until you hit the line that is horizontal to where your line intersects a whole point. Then run, what you count horizontal matches with your rise count. This means we can count 2/1 and since it's going down it's negative. So the slope is -2 and the y-intercept is -1 because it intersects through the y-intercept -1.
To determine the age of fossils, scientists use radiometric dating. This involves measuring quantities of certain radioactive isotopes and using mathematical equations to compare the amounts of each isotope present.
Suppose a scientist dates a piece of petrified wood and calculates that it is approximately 23,881,392.3102 years old. The petrified wood is later displayed in a museum.
What is the most reasonable way for the museum tour guide to describe the age of the wood to museum visitors?
(A): 2.3881×107 years old
(B): 24 million years old
(C): 23.8813923102 mega years old
(D): 23 billion years old
Answer:
B 24 million years old
Step-by-step explanation:
i did this quiz a long time ago tho so it might be B or D
A four sided sandbox has exactly 2 right angles to side lengths 5 feet what geometric shape as described shape of the sandbox
Answer:
The sandbox is most likely in the shape of a kite. As it has only two right angles, it cannot be a square or other form of rectangle. It also cannot be a parallelogram, which has no right angles, nor is it a rhombus- all four sides are not of the same length.
A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.
I just need help on this one :) could u please try quickly
-3 x 2-1
I got -7. I tried probably wrong
A man invests a sum of money ($8,000) in a bank that offers a rate of 5%. He invests the money for 2 years. Calculate the amount of money in the bank at the end of the 2-year period if invested at:
(a) simple interest
(b) compound interest.
Question 6 (6 marks)
The diameter of a circle is 10 cm (as shown in the diagram). Use π = 3.14 Calculate to 2 decimal places, the:
(a) circumference
(b) area
Answer:
(a) 8000 times 5 times 2 = 800
These triangles are similar. Solve for the scale factor.
Answer:
Scale factor = 3
Step-by-step explanation:
A - B = 1-3
3 - 1 = 2
A' - B' = 3-9
9 - 3 = 6
6 / 2 = 3
Will give BRAINLIEST!! Write a polynomial and show all the steps you would take to factor this polynomial completely. Please explain each step thoroughly.
I am not accepting links. Thank you:)
Step-by-step explanation:
Consider this polynomial,
[tex]8 {x}^{2} + 2x - 3[/tex]
First, I do the AC memethod. To find my two numbers,
That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C
And that will also add to 2, my middle term.
So using that
[tex]8 \times - 3 = - 24[/tex]
So let find factors of-24:
Factors can be positve or negative
The factors of 24 are : 1,2,3,4,6 8,12,24.
So which one of these add up to 2.
[tex]6 + ( - 4) = 2[/tex]
and
[tex]6 \times - 4 = - 24[/tex]
So six and negative four is our numbers.
Now, let set up our binomials
Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.
Disclaimer: The placement of these numbers doesn't matter.
So we have
[tex]8 {x}^{2} + 6x - 4x - 3[/tex]
Step 2: Group the first two terms and last two terms
[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]
Factors the first group by finding the GCF.
x is the greatest common variable, and 2 is the gcf so we have
[tex]2x(4x + 3) + ( - 4x - 3)[/tex]
Next, factor the next group by -1.
[tex]2x(4x + 3) - 1(4x + 3)[/tex]
Combine the outside factors.
[tex](2x - 1)(4x + 3)[/tex]
So those are the factors.
Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up charges of $425. How much of that must he pay if he wants to charge a discount airline ticket, which costs $200, on his card without going over his credit limit
The amount Don must pay on his card without going over the credit limit is $125.
How much must Don pay?
Don's credit limit is $500. If Don does not want to go over the limit, he must not exceed the $500 limit. In order to determine the amount he should pay, add the sum of the charges and subtract it from the credit limit.
Amount to be paid = (425 + 200) - 500 = $125
To learn more about addition, please check: https://brainly.com/question/19628082
solve for x use the trig to find angle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve, using Trigonometry ~
[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{54}{72} [/tex]
[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{3}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \tan { }^{ - 1} ( \frac{3}{4} ) [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 37 \degree[/tex]
Answer:
[tex]\displaystyle 36,9[/tex]
Step-by-step explanation:
[tex]\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]
OR
[tex]\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Answer 11-12 it’s ok if your don’t no one of them. Please do at least one. Thanks.
[11]
Equation: 180° - 75°
Measure: 105°
A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.
[12]
Equation: 90° - 40°
Measure: 50°
The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.
An angle measuring (870n)° is in standard position. for which value of n will the terminal side fall on the y-axis? n = 3 n = 4 n = 5 n = 6
The value of n will the terminal side fall on the y-axis at n=3
The terminal side of an angle fall along the positive portion of the y-axis,
If it can written in the form of [tex](90^0)a[/tex]
Where a = positive odd integer,
We hyave given the given angle is,
[tex](870n)^0,[/tex]
What is terminal side?The terminal side of an angle theta drawn in angle standard position is the side which isn't the initial side
Now for n=3
[tex](870(3))^0=2610^0[/tex]
The angle will be 2610°
Its terminal side fall along the positive portion of the y-axis,
[tex]2610^0 = (90^0)a \implies a = 29[/tex]......( Positive odd integer )
Therefore for n = 3, the terminal side of the angle (870n)° falls along the positive portion of the y-axis,
For n = 4,
Our angle will be 3480°
Its terminal side fall along the positive portion of the y-axis,
[tex]3480^0 = (90^0)a \implies a = 38.6667 ( Not possible )[/tex]
Therefore for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis
Next is for n = 5,
Our angle will be 4350°
Its terminal side fall along the positive portion of the y-axis,
[tex]4350^0 = (90^0)a \implies a = 48.333.. ( Not possible )[/tex]
Thus, for n = 5, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,
For n = 6,
Our angle will be 5220°
Its terminal side fall along the positive portion of the y-axis,
[tex]5220^0 = (90^0)a \implies a = 58..... ( Not possible )[/tex]
Thus, for n = 6, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.
Therefore,the value of n will the terminal side fall on the y-axis at n=3.
To learn more about the terminal side visit:
https://brainly.com/question/24680641
Answer:
a
Step-by-step explanation:
x=3 on edge
pls help. it’s due tomorrow.
Answer:
the rest aren't wholly visible;like the signs under the letters
Step-by-step explanation:
11, 15, 19, 23, 27intervals of +4
18, 13, 8, 3, -2intervals of -5
A survey asked 100 seventh graders if they have either a cell phone or a tablet. Of the 32 students that have a cell phone, 19 do not have a tablet. Of the 70 students that have a tablet, 57 do not have a cell phone. A total of 11 students stated they do not have a cell phone or a tablet. Some of this information is included in the frequency table.
help please
Answer:
I don't know sir actually I didn't understand your question no need to reply to my answer bye
Answer:
13
Step-by-step explanation:
if you read through the paragraph and pot your data on the table, the answer will show and is 13
Question 4 of 10
You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
COST
ITEM
Pancake Mix
Eggs
Syrup
$2.18
$2.28
$3.98
PLS HELP!’
Answer: 1.56
Step-by-step explanation:
Add all the cost together, the subtract the ten dollars.
2.18 + 2.28+ 3.98 = 8.44
10.00 - 8.44 = 1.56
JL and MO are parallellines.
Which angles are alternate exterior angles?
Answer:
<N and <K
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of the two parallel lines and are opposite of each other yet their measure is equal to each other.
The pair of angles that meet these requirements mentioned above are angle N and angle K.
Use the equation machine to help you solve the addition equation.
k=8
k=9
k=17
k=26
A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle has dimensions of 7 inches×9 inches. What is the area of the figure?
Step-by-step explanation:
area of triangles
1/2*9*8= 36
area of.rectangle
8*9= 72
36+72=108 square inches
Help me answer this question about congruent triangles. 50 points available.
Answer:
B
Step-by-step explanation:
No these triangles are not congruent.
Left triangle
Shortest side = 6 cm
Longest side = 13 cm
3rd side = unknown but < 13
Right triangle
Shortest side = 6 cm
Longest side = unknown but > 13
3rd side = 13 cm
Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.
We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.
Answer below
due today at noon
Answer:
x = -3
Step-by-step explanation:
A vertical line has an equation of the form
x = a
where a is the x-coordinate of every point on the line.
Every point on the line has x-coordinate -3, so the equation is
x = -3
Find 3 irrational numbers between 1/3 and 3/8
Answer:
4/24,,,5/24,,7/24
hope it helps u
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 4)(0,4) and (2, 256)(2,256).
Answer:
Step-by-step explanation:
[tex]y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x[/tex]
(5) to the 7 over 3 power
[tex]5^{7/3} = 42.75[/tex] (approximately)
using the formula [tex]x^{a/b}=\sqrt[b]{x^a}[/tex] we can solve the problem
so we rewrite it as [tex]\sqrt[3]{5^7}[/tex] and get ~42.75
Pls help thanks to who ever does and please do NOT put links
Answer:
C
Step-by-step explanation:
Remark
The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.
Volume Original Shape
Each side of the figure is one side of a square.
So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)
The window is 2*2 which is 4.
The volume of the original shape is 36 - 4 = 32
Volume new shape
Each side of the figure is 12 by 12 = 144 With no window
The size of the window is 4 by 4 = 16 With the window (Subtract)
The size of the modified figure is 128
Answer and discussion
The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet. So you need Subtract to find the difference..
Answer: 128 - 32 = 96 which is C.
a
April has a sheet of paper that is 3 feet long. She cuts the length of paper into halves and then cuts the
1
length of each of these pieces into sixths.
2
How many pieces does she have?
How many inches long is each piece?
April has
pieces.
Each piece is
inches long.
Answer:
6x3=18 pieces
6/18 = 1/3
=
18 pieces
72 inches
what is the answer for this also?
Answer:
64 cm^3
Step-by-step explanation:
V = lwh
V = 4 x 4 x 4
V = 64 cm^3
Hope this helps!
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{volume \: of \: square = {x}^{3} }[/tex]
[tex] \mathsf \pink{v = {4}^{3} }[/tex]
[tex] \mathsf \purple{v = {64cm}^{3} }[/tex]
Will give brainliest to correct answer
Question 1 Which statement about convergent infinite geometric series is true? O The graph of a convergent infinite geometric series goes to infinity. O A finite geometric sequence will have an infinite geometric series. O An infinite geometric series converges if -1 < r 1 is true. The graph of an infinite geometric series curves away from its sum. Question 2
Answer:
Third option: An infinite geometric series converges if −1<r<1 is true.
Step-by-step explanation:
An infinite geometric series contains an infinite number of terms. A convergent infinite geometric series can go to infinity on a graph. An infinite geometric series can converge if the ratio "r" is true in the equation " –1 < r < 1".