Answer:
80 ft/s
Step-by-step explanation:
Given that,
A ball is thrown vertically upward from the top of a 96-ft tower, with an initial velocity of 16 ft/sec. Its position function is given by :
[tex]s(t)=-16t^2 + 16t + 96[/tex] ...(1)
When it hits the ground, s(t) = 0
[tex]-16t^2 + 16t + 96=0\\\\t=3\ s[/tex]
At t = 3 s it will hit the fround.
We need to find its velocity when it hits the ground.
Differentiate equation (1) to find its velocity.
[tex]v=\dfrac{ds(t)}{dt}\\\\v=\dfrac{d(-16t^2 + 16t + 96)}{dt}\\\\v=-32t+16[/tex]...(2)
Put t = 3 in equation (2)
[tex]v=-32(3)+16\\\\v=-80\ ft/s[/tex]
Hence, when it will ground its velocity is 80 ft/s.
Points A' and B' are the images of points A and B after a 270 rotation about the origin. If the slope of line segment AB is -3, what is the slope of line segment A'B'? Put your answer in simplified fraction form with no spaces.
The slope of the line segment AB will change from -3 to 1/3 after a 270 degree rotation of the line segment
How to determine the slope of line segment A'B'information gotten from the question include
Points A' and B' are the images of points A and B after a 270 rotation
the slope of line segment AB is -3
Rotation is one of the movements that is under transformation it involves a movement about an axis.
With respect to the problem here, the axis of the rotation is the origin of the coordinates
The rotation will lead to formation of an image A'B' which is perpendicular to the preimage
The relationship between two slopes that are perpendicular to each other is
slope of line, m = -1/slope of the perpendicular line, m'
m' = -1/m
m' = -1/3
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Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?
Answer:
I think the answer is 6 sorry if i'm wrong
Step-by-step explanation:
75 POINTS AND BRAINLIEST IF ITS CORRECT!!!
Answer: The first and last table.
As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.
Tables 1 and 5 are equal.
Given are 5 tables in x and y with two values each.
We are to find out which two represent the same function.
As for every function, two points are given.
Let us compare the slopes of each function.
Slope=change in y coordinate/change in x coordinate
Table Slope
I -0.5
2 -0.5
3 -0.5
4 1
5 -0.5
Table 4 is eliminated now.
Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same. Similarly for 2 different values are there in table 3,4,5. Hence 3,4,5 cannot be pairwise equal.
We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5
So table I = table 5
Hope this helps... Stay safe and have a great day/night!!! :D
Can somebody help me with this question, my brain has evaporated.
Answer:
9.42m
Step-by-step explanation:
You have to find the circumference using C=2πR. We know that the radius =4 meters so then we can insert it into the formula to get the circumference which equals 8π. Then we divide 24m² by 8πm and get 9.42m.
Someone please help i can’t find the answer.
Answer:
f(3) = 4
Step-by-step explanation:
Give x = 3 in the interval x ≥ 1 then f(x) = x + 1 , and
f(3) = 3 + 1 = 4
Please help on 5 and 6
What best describes the relationship between line 6x - 2y = 1 and the line x + 3y = 12?
is it parallel, perpendicular, or neither?
Both the lines are perpendicular lines.
What is Equation of line?The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Now,
Since, The equation of lines are,
⇒ 6x - 2y = 1 and x + 3y = 12.
Hence, Find the slopes of the lines as;
⇒ 6x - 2y = 1
⇒ 2y = 6x - 1
⇒ y = 3x - 1/2
⇒ m₁ = dy/dx = 3
And, From second line,
⇒ x + 3y = 12.
⇒ 3y = - x + 12
⇒ y = - 1/3x + 4
⇒ m₂ = dy/dx = - 1/3
Clearly, We get;
⇒ m₁ m₂ = 3 × - 1/3
= - 1
Thus, Both the lines are perpendicular lines.
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Amelia is making a cookie recipe that requires 4 cups of sugar for every 12 cups of flour. Amelia only has 9 cups of flour. She concludes that she will only need 3 cups of sugar Is Amelia correct? Why or why not?
A Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12.
B Amelia is correct. One-quarter the amount of sugar is needed because only one-quarter of the recipe will be made.
C Amelia is incorrect. The number of cups of sugar must be reduced by 3 because the number of cups of flour is reduced by 3.
D Amelia is incorrect. She needs 4 cups of sugar because decreasing the number of cups of flour by 3 requires increasing the number of cups of sugar by 3.
Answer:
B
Step-by-step explanation:
Because if you will divide the ratio 4:12 by three- we will get a ratio 1:3. Then we need the last 3 in the ratio 1:3 become a 9. For this we need to multiply it by 3= 1:3 *3= 3:9. This is only 3/4 of whole of recipe.
Answer: Choice A)
Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12
=======================================================
Explanation:
It might help to think of the ratio 4:12 as the fraction 4/12. Dividing both parts by 4 leads to 1/3.
Similarly, the ratio 3:9 becomes 3/9 which reduces to 1/3.
This shows that 4/12 = 3/9, so the ratios 4:12 and 3:9 are the same.
------------
Another way to show two fractions are equal is to do the steps below
4/12 = 3/9
4*9 = 12*3 ... cross multiply
36 = 36
Since the last equation is true, the first equation must be true.
-------------
Here's another way to see Amelia is correct.
So we know that 4 cups of sugar go with 12 cups of flour. This forms the fraction 4/12.
We also know that she has 9 cups of flour. Let's say we don't know how much sugar she needs, so we'll call this x. We have x cups of sugar go with 9 cups of flour. This forms the fraction x/9.
Equate the two fractions and solve for x
4/12 = x/9
9*4 = 12*x ... cross multiply
36 = 12x
12x = 36
x = 36/12 ... divide both sides by 12
x = 3
She needs 3 cups of sugar
The steps in this section are very similar to the steps in the last section.
6.01 as a improper fraction
Answer:
601/100
Step-by-step explanation:
Henry sells rings for $8 each. His expenses are $2.00 per ring, plus$90 for supplies. How many rings does he need to sell for his revenue to equal his expenses?
Answer:
12
Step-by-step explanation:
Answer:
yooooo lamarr over here cheating
Step-by-step explanation:
1/8 + c = 4/5
what is c
Answer:
27/40
Step-by-step explanation:
What is the relationship between two coplanar lines that are perpendicular to the same line?
Answer:
If two lines are perpendicular to the same line, then the two lines are parallel, and if two lines are parallel, then their slopes are equal
Step-by-step explanation:
Answer:
I'm sorry for this but I'll help you if you help me?
a line passes through the point (-1,5) and the point (3,5), what is the equation of the line?
Answer:
8
Step-by-step explanation:
took the test
have a nice day
mark brainlist plzzzzz
Mark uses 19 gallons of gas while traveling 399
miles at a constant rate in his car. How many
miles is Mark able to travel on 9 gallons of gas?
Answer:
189
Step-by-step explanation:
If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.
We get this by taking 399 divided by 19.
So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.
We get this by taking 21 times 9
Diane will spend more than $31 on gifts. So far, she has spent $18. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Diane will spend.
Write your answer as an inequality solved for c.
Answer:
13
Step-by-step explanation:
31-18=13
Jessica is selling books during the summer to earn money for college.
You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.
Answer:
1. $1.2
2. $0.14
Step-by-step explanation:
Step one:
given data
Black beans last week that cost $1.34
Step two:
This week's price
5 cans of beans cost $6.00
The cost per can is
= 6/5
=$1.2
The difference in price
=1.34-1.2
= $0.14
с
16 km
12 km
Figure not drawn to scale
C =
Kilometers
Step-by-step explanation:
[tex](16)^{2} + (12)^{2} = 400 \\ \sqrt{400} \: = 20km[/tex]
In the figure above, AB = AD, BC = CD, BE = 2, BC = 4, and AC = 10. What is the area of triangle ABD?
The properties of items in a question can be used to simplify the solution to the questions
The area of triangle ΔABD is 20 - 4·√3
The reason the above value for the area of ΔABD is correct is as follows:
The given parameters are;
AB = AD, BC = CD, BE = 2, BC = 4, AC = 10
Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite
∴ AC is perpendicular to BD by properties of the diagonals of a kite
ΔBCE is a right triangle
By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²
Which gives;
[tex]\overline{CE}[/tex]² = 4² - 2² = 12
[tex]\overline{CE}[/tex] = 2·√3
Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;
BD = BE + DE, where BE = DE definition of bisected line
∴ BD = BE + BE = 2·BE
Area of a triangle = (1/2) × Base length × Height
AE = The altitude (height) of the ΔABD = AC - CE
∴ AE = 10 - 2·√3
BD = The base length of ΔABD = 2·BE (Length of BE = 2)
∴ BD = 2 × 2 = 4
The area of triangle ΔABD = (1/2) × BD × AE
∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3
The area of triangle ΔABD = 20 - 4·√3
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through: (1, 2), slope = 2
Answer:
y=2x+2
Step-by-step explanation:
Answer: y = 2x
Step-by-step explanation:
y=mx+b
m is the slope. so if the slope is 2 we can fill in 2 for m.
y = 2x + b
now we are going to plug in the point they gave us (1, 2) to find b.
1 is the x coordinate of the point and 2 is the y coordinate. so we put 1 in for x and 2 in for y.
2 = 2(1) + b
2 = 2 + b
b = 0
so our equation is y = 2x + 0, or y = 2x
I WILL PUT MANY POINTS ANSWER PROPERLY OR ELSE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Zoe took a total of 28 quizzes over the course of 4 weeks. After attending 6 weeks of school this quarter, how many quizzes will Zoe have taken in total? Assume the relationship is directly proportional.
? quizzes
I HAVE MORE QUESTIONS SO DONT ANSWER AND LEAVE
Answer:
42
Step-by-step explanation:
Given the related graph for each equation, determine the graph that represents a quadratic equation that has one real solution.
Answer:
The answer would be D. 0=2(x-1)squared
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .
Answer:
12x+3y+3
Step-by-step explanation:
Let's simplify step-by-step.
4x+2y+6+7x+3y−4+x−2y+1
=4x+2y+6+7x+3y+−4+x+−2y+1
Combine Like Terms:
=4x+2y+6+7x+3y+−4+x+−2y+1
=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)
=12x+3y+3
Answer:
12x + 3y + 3
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Step 2: Simplify
Combine like terms (x): 12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y): 12x + 3y + 6 - 4 + 1Combine like terms (Z): 12x + 3y + 3At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 99.7% of customers have to wait.
Answer:
burger
Step-by-step explanation:
fSFFSFS
Help plzzzzzzzzzzzzzz
Answer:
∠E
Step-by-step explanation:
∠E is between PE and EN
Which ordered pair is a solution of the equation?
y= 8x + 3
WChoose 1 answer:
А
Only (1, 11)
B
Only (-1,-5)
Both (1, 11) and (-1,-5)
Neither
Step-by-step explanation:
both (1,11)and (_1,_5)
Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation:
which slopes could be the slopes of perpendicular lines?
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
Answer:
0 and undefined
Step-by-step explanation:
A line with a slope of -7 passes through the points (-8, 7) and (-7, k). What is the value of
K?
Answer:
k = 0
Step-by-step explanation:
On the graph, the second point would be at (-7,0)
Answer:
k = 0
Step-by-step explanation:
We can find the answer to this question by using the slope equation:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's define some variables:
[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]
We know the slope is -7 so we can put k-7 equal to it and solve
[tex]k-7 = -7\\k = 0[/tex]
We find that k is equal to 0.
I hope this helps!!
- Kay :)