Answer:
5.76 seconds
Step-by-step explanation:
We are given;
Position of rock from ground level; h(t) = 9 m
Height of cliff;h_0 = 45 m
Velocity;v_0 = 22 m/s
To solve for the time, we will use the gravity formula which is;
h(t) = (-1/2)gt² + (v_0)t + h_0
Plugging in the relevant values to get;
9 = (-1/2)(9.81)t² + 22t + 45
Subtract 9 from both sides to get;
-4.905t² + 22t + 45 - 9 = 0
-4.905t² + 22t + 36 = 0
Finding the roots of the equation through quadratic formula gives;
t = 5.76 or -1.27
t cannot be negative, so we will use the positive value to get;
t = 5.76 s
Thus, the rock will be 9m from the ground level after 5.76 seconds
3. The volume of a cylinder is V = trh. If the radius of the cylinder is 1.5 feet and the height is 2.7 feet, what is the volume of the cylinder? (Use 3.14 for pi.)
28.6 cubic feet
6.1 cubic feet
12.7 cubic feet
19.1 cubic feet
Answer:
the volume of the cylinder = 19.08 ft³
Step-by-step explanation:
given:
If the radius of the cylinder is 1.5 feet and the height is 2.7 feet,
find:
what is the volume of the cylinder? (Use 3.14 for pi.)
Volume of a cylinder = π r² h
where π = 3.14
radius (r) = 1.5 ft.
height (h) = 2.7 ft.
plugin values into the formula:
V = π r² h
V = 3.14 (1.5)² 2.7
V = 19.08 ft³
therefore,
the volume of the cylinder = 19.08 ft³
Can someone help me on this?
I believe the difference is 5 degrees Fahrenheit.
2.2.115
The per capita (per person) income from 1980 to 2010 can be modeled by
f(x) = 2000(X – 1980) + 10,000
where x is the year. Determine the year when the per capita income was $18,000.
The per capita income was $18,000 in the year N.
Answer:
X= 1984
Step-by-step explanation:
f(x) = 2000(X – 1980) + 10,000
Where,
f(x)= per capita income
x= year
Find x when f(x)= $18,000
f(x) = 2000(X – 1980) + 10,000
18,000 = 2000(X - 1980) + 10,000
18,000 = 2000X - 3,960,000 + 10,000
18,000 = 2000X - 3,950,000
Add 3,950,000 to both sides
18,000 + 3,950,000 = 2000X
3,968,000 = 2000X
Divide both sides by 2000
X= 3,968,000 / 2000
= 1984
X= 1984
Therefore, the per capita income was $18,000 in the year 1984
Solve for y. I REALLY NEED HELP ON THIS!! 2(3y+6x)=2(5y-2x)
Answer:
y = 4x
Step-by-step explanation:
2(3y + 6x) = 2(5y - 2x)
Divide both sides by 2.
3y + 6x = 5y - 2x
Subtract 5y from both sides. Add 2x to both sides.
-2y = -8x
Divide both sides by -2.
y = 4x
Solve for a
2(a+5)=-2 Steps too please ❤️
Answer:
a=-6
Step-by-step explanation:
2(a+5)=-2 Step 1 distribute
2a+10=-2 Step 2 minus 10 on both sides
2a=-12 Step 3 divide but 2 on both sides
a=-6
Answer:
a=-6
Step-by-step explanation:
In order to solve for a, we must isolate a on one side of the equation.
[tex]2(a+5)=-2[/tex]
2 is being multiplied by (a+5). The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]2(a+5)/2=-2/2[/tex]
[tex](a+5)=-2/2[/tex]
[tex](a+5)=-1[/tex]
5 is being added to a. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]a+5-5=-1-5[/tex]
[tex]a=-1-5[/tex]
[tex]a=-6[/tex]
Let's check our solution. Plug -6 in for a and solve.
[tex]2(a+5)=-2[/tex]
[tex]2(-6+5)=-2[/tex]
[tex]2(-1)=-2[/tex]
[tex]-2=-2[/tex]
This checks out, so we know our solution is correct.
The solution to the equation 2(a+5)=-2 is a=-6
Determine the value of the expression given above.
Answer:
-44
Step-by-step explanation:
round the following number to 2 decimal places 17.422
Answer:
17.42
Step-by-step explanation:
Because the third place is less than 5 you have to round it to smaller number and that is 2.
If by any chance the third number was for example six you would have to round it to 3.
1.08 x 10^-3 in standard form?
Hi Geovannie, when you submit this form,
Required
1. Solve the equation:
-(1+4x)=4(1-x)-5*
(5 Points)
Steps to solve:
-(1 + 4x) = 4(1 - x) - 5
~Distribute both sides
-1 - 4x = 4 - 4x - 5
~Combine like terms on the left side
-1 - 4x = -1 - 4x
~Add 4x to both sides
-1 = -1
~Add 1 to both sides
0 = 0
Therefore, all real numbers are solutions.
Best of Luck!
You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and jolly ranchers and. How many bags will you be able to make without any leftover?
Solve the equation for x.
answer:
x=-2
Step-by-step explanation:
my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2
Answer:
x = -2
Step-by-step explanation:
● (5/6)x - (1/3) = -2
Add (1/3) to both sides
● (5/6)x - (1/3) + (1/3) = -2 + (1/3)
-2 is (-6/3)
● (5/6)x = (-6/3) + (1/3)
● (5/6)x = -5/3
Move 5/6 to the other side and switch the places of 5 and 6
● x = (-5/3) × (6/5)
● x = -30/15
● x = -2
simply the question please
Answer: -2²¹
Step-by-step explanation:
Convert each term into a power of 2.
Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.
[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]
[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]
Answer:
-2^21
Step-by-step explanation:
(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=
=-1*2^11
(16)^-1*8^-2=2^-4*2^-6=2^-10
-1*2^11/2^-10=-1*2^11*2^10=-2^21
- Use your ruler and protractor to draw an isosceles obtuse triangle ZAP with and vertex angle B. base angles A and Z.
Answer:
In the diagram, the obtuse isosceles is what you need.
For your problem, the angle F is the vertex angle B
The base angles A and Z go on both sides.
Step-by-step explanation:
I really need help on this ;-;
help with number 14! it’s due tomorrow.
Answer:
23 is you number move it that many times right see what it gives you
Step-by-step explanation:
6x + 2 = 9x - 4 help me please
Answer:
x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
6x + 2 = 9x - 4
We want terms with x on the left side and numbers on the right side.
Subtract 9x from both sides.
6x - 9x + 2 = 9x - 9x - 4
-3x + 2 = -4
Subtract 2 from both sides.
-3x + 2 - 2 = -4 - 2
-3x = -6
Divide both sides by -3.
-3x/(-3) = -6/(-3)
x = 2
Point T is on line segment \overline{SU} SU . Given ST=2x+6,ST=2x+6, TU=4,TU=4, and SU=4x,SU=4x, determine the numerical length of \overline{ST}. ST
Answer: The numerical length of [tex]\overline{SU}[/tex] is 20 units.
Step-by-step explanation:
Given: Point T is on line segment [tex]\overline{SU}[/tex] .
i.e. [tex]\overline{SU}=\overline{ST}+\overline{TU}[/tex] (i)
Since , it is given that ST=2x+6,TU=4, and SU=4x
Substitute these values in (i), we get
[tex]4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5[/tex]
Now, the numerical length of [tex]\overline{SU}= 4(5)=20\ units[/tex]
Hence, the numerical length of [tex]\overline{SU}[/tex] is 20 units.
Answer:
Step-by-step explanation:
ST = 16
A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing.
Complete question is;
A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.
Answer:
Cluster sample
Step-by-step explanation:
Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.
Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.
HURRY!!!! Right now, Molly is twice as old as Nancy. Zander is 6 years younger than Molly. Which expression represents Molly’s current age in
terms of Nancy’s? Which expression represents Molly’s current age in
terms of Zander’s? Nancy is currently 10 years old, and Zander is 14. How old is Molly?
Answer:
:)
Step-by-step explanation:
Let 'N' rep. Nancy's age
Let 'M' rep. Molly's age
1) 2N
2) M - 6
3) 2(10) = 20
therefore, Molly is 20
M = 20
M - 6 = 14 (Zander's age)
Answer:
Which expression represents Molly’s current age in terms of Nancy’s?
Answer: 2n
Which expression represents Molly’s current age in terms of Zander’s?
Answer: z plus 6
Nancy is currently 10 years old, and Zander is 14. How old is Molly?
Answer: 20 years old
Just did the assignment and got a 100, edge 2021
What is 5+x+11x=11x+11
Answer:
x = 6
Step-by-step explanation:
Solve for x:
11 x + x + 5 = 11 x + 11
Hint: | Add like terms in 11 x + x + 5.
x + 11 x = 12 x:
12 x + 5 = 11 x + 11
Hint: | Move terms with x to the left hand side.
Subtract 11 x from both sides:
(12 x - 11 x) + 5 = (11 x - 11 x) + 11
Hint: | Combine like terms in 12 x - 11 x.
12 x - 11 x = x:
x + 5 = (11 x - 11 x) + 11
Hint: | Look for the difference of two identical terms.
11 x - 11 x = 0:
x + 5 = 11
Hint: | Isolate terms with x to the left hand side.
Subtract 5 from both sides:
x + (5 - 5) = 11 - 5
Hint: | Look for the difference of two identical terms.
5 - 5 = 0:
x = 11 - 5
Hint: | Evaluate 11 - 5.
11 - 5 = 6:
Answer: x = 6
Answer:
x = 6
Step-by-step explanation:
5 + x + 11x = 11x + 11
5 + 12x = 11x + 11
5 + 1x = 11
1x = 6
x = 6
18. A shelf holds fewer than 50 cans. If all of the
cans on this shelf were put into stacks of
five cans each, no cans would remain. If the
same cans were put into stacks of three cans
each, one can would remain. What is the
greatest number of cans that could be on
the shelf?
Answer:
40
Step-by-step explanation:
Given that the number of cans are fewer than 50.
Let the number of cans = [tex]x[/tex]
It is given that no cans remain if they are put in the stacks of five cans each.
i.e. number of cans are a multiple of 5.
Let us have a look at the numbers in decreasing order which are multiples of 5 and are lesser than 50.
45, 40, 35, 30, ......
Now, let us check the numbers one by one.
If [tex]x=[/tex] 45,
Now, they are placed on stacks of three each and one can remains.
So, the remainder when [tex]x[/tex] is divided by 3 will be 1.
But when 45 is divided by 3, remainder is 0.
Now, let us check next greatest number, which is 40.
When 40 is divided by 3, the remainder is 1.
Therefore, greater number of cans can be 40.
what are the coordinates of the midpoint of the line segment with endpoints (2,5) and (4,-7)
Answer:
(3, -1)
Step-by-step explanation:
Let A be the midpoint and (x,y) its coordinates
● x = (2 + 4)/2 = 6/2 = 3
● y = (5 +(-7))/2 = -2/2 = -1
So the coordinates are (3, -1)
find h(-4 ) given h(x)=3x2 +2x -16
Answer:
2x-10
Step-by-step explanation:
3x2+2x-16
6+2x-16
2x-10
2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for
services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same
as in problem 1)
ODS
a. $275.00 b. $325.00 c. $250.00 d. $300.00
The question is incomplete:
1. A cosmetologist must double his/her salary before the employer con realize any profit from his/her work, Miss, Mead paid Miss, Adams $125,00 per week to start.
2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same as in problem 1)
ODS
a. $275.00 b. $325.00 c. $250.00 d. $300.00
Answer:
d. $300.00
Step-by-step explanation:
Given that a cosmetologist must double her salary before the employer can realize any profit from his/her work, for Miss. Mead to realize $50.00 profit on her work, you would have to determine the amount that doubles the salary of the cosmetologist and add the $50 needed as profit:
Salary= $125*2=$250
$250+$50= $300
According to this, the answer is that for Mead to realize $50.00 profit on her work, Miss. Brown must take $300.
(I WILL MARK AS BRAINLIEST PLS OPEN I RLLY NEED TO KNO PLSSS) a hot air balloon is 10 meters above the ground and rising at a rate of 15 meters per minute. another balloon is 150 meters above the ground and descending at a rate of 20 meters per minute. when will the two balloons meet? i really need to know im super confused and also use the either the substitution method or the elimination method to solve this word problem PLSSSSSSSSSSSSSSSSSSSSS
Answer:
After 4 minutes
Step-by-step explanation:
Balloon 1
Initial position = 10 mRise rate = 15 m/minBalloon 2
Initial position = 150 mDrop rate = 20 m/minTime required for the balloons to meet = x
After x minutes the first balloon will be at position:
10 + 15xAnd the second balloon will be at position:
150 - 20xSince they meet after x minutes, their position must be same:
10 + 15x = 150 - 20x15x + 20x = 150 - 1035x = 140x = 140/35x = 4 minutesSo the balloons will meet after 4 minutes
23,579
38,743
65,559
+66.559
Answer:
194,440 or 127,947.559
Step-by-step explanation:
if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.
Which would the phrase "two times the quotient of a number and 3" look like as a variable expression? 3n2 3(n−2) 2n3 2(n−3)
Answer:
the answer here would be 2(n-3)
Step-by-step explanation:
-1 1/5 + -3/5 in simplest form
Answer:
-1 4/5
Step-by-step explanation:
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3 5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.
2. Estimate the sum. Choose the mixed number that is closest to the estimate. 5.5 + 4.2
Answer:
9 9/10
Step-by-step explanation:
10
55/10 +42/10=97/10=9 7/10
whats is the answer for 2y-x=5
Answer:
That's the answer in the photo.