Answer:
y=-9x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-9(x-1)
y+3=-9(x-1)
y=-9x+9-3
y=-9x+6
A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
Is Laplace's Rule well applied in this exercise? The result would have to be -82 and not 22, what is wrong? Thanks.
Answer:
-82
Step-by-step explanation:
no it is not correct
I'll show you my answer
pls give me brainliest
Don't forget! If you multiply or divide by a negative number, you must
flip the inequality symbol!
I need help with these 2 and ignite the 5 and 6 it’s the question number
Answer:
c > 20
make a number line that starts with the number 16 and ends with 22.
on the number 20 circle it (don't fill in the circle).
then draw an arrow to the right on top of the circle that you circled.
Step-by-step explanation:
Put these numbers in order from least to greatest.
0.92,0.43, and 9/10
Answer:
0.43,9/10,0.92
Step-by-step explanation:
Answer:
0.43, 9/10, 0.92
Step-by-step explanation:
9/10=0.9=0.90
Tìm tập xác định x4/4-x2/2+1
Answer:
Bạn ghi rõ hơn được không?
Nếu là (x^4)/4 - (x^2)/2 + 1 thì không có nhé
Express y in terms of x in the equation =
Peyton, Nathan and Alexandra sold their stuffies for a fundraising event.
Peyton sold two more than four times the stuffies Nathan.
Alexandra sold half as many stuffies as Peyton.
Each stuffie was sold for $2.50. Together they fundraised $130.
How many stuffies did each person sell?
Answer:
p = 30, n = 7, a = 15
Step-by-step explanation:
Let's say that p is the amount of stuffies Peyton sold, n is the amount of stuffies Nathan sold, and a is the amount of stuffies Alexandra sold.
Peyton sold two more than four times the stuffies Nathan sold.
This means that: p = 2 + 4n (n = (p-2)/4)
Each stuffie was sold for $2.50. Together they fundraised $130.Alexandra sold half as many stuffies as Peyton.
This means that: a = p/2
Each stuffie was sold for $2.50. Together they fundraised $130.
This means that: 2.50p + 2.50n + 2.50a = 2.50(p + n + a) = 130
We can make the equation in terms of p by substituting a and n.
2.50(p + n + a)
= 2.50(p + (p-2)/4 + p/2)
= 2.50(4p/4 + (p-2)/4 + 2p/4) [Make the p's have a denominator of 4]
= 2.50((4p + p - 2 + 2p)/4)
= 2.50((7p-2)/4)
= 5/2 * (7p-2)/4
= 5(7p-2)/8
= (35p-10)/8 = 130
35p-10 = 1040
35p = 1050
p = 30
n = (30-2)/4
= 7
a = 30/2
= 15
3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.
Answer:
140m
Step-by-step explanation:
3/4 = .75
x/.7 = 150/.75
multiply both sides by .7
x = 150/.75 * .7
x = 140m
Nikhil invests all of his $ 350 at a rate of 3% per year simple interest.Calculate the total value of this investment after 7 years
answer:
423.5
step1.
you find the value of 3% by dividing over 100 because percentage is over 100 so 3/100
step2
multiply by $350
so 3/100×350=10.5
step3
we are told the investment is for 7years so we multiply 10.5 by 7 because 10.5 is only for 1year
10.5×7=73.5
step4
add the 73.5 to the 350 then you have your answer
An excursion group of four is to be drawn from among 5 boys and 6 girls.
Find :
a. the number of ways of choosing the excursion group if the group :
i. Is to be made up of an equal number of boys and girls.
ii. Is to be either all-boys or all-girls.
III. Has no restriction on its composition.
b. Whatis the probability that a random choice of numbers from the group will result in 3 boys and 1 girl.
Answer:
Because you are recounting people several times. Say for example, let us number those people
{1,2,3,4} for the four girls and {1,2…7} for the boys.
One possible combination by your way is to fix one boy and girl each, say
{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.
Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.
A correct way would be to choose girls and then choose 5− boys for 1≤≤4
So we get ∑4=1(4)(75−)=441
Answer:
We need group of 4 out of group of 5 + 6 = 11 people.
Part A
i)
2 boys and 2 girls:
5C2 * 6C2 = (5*4/2) * (6*5/2) = 150 waysii)
4 boys or 4 girls:
5C4 + 6C4 = 5 + 15 = 20 waysiii)
No restrictions:
11C4 = (11*10*9*8)/(4*3*2) = 330 waysPart B
Combination of 3 boys and 1 girl:
5C3*6C1 = (5*4/2)*6 = 60Total number of ways is 330 (found above)
Required probability:
P(3 boys and 1 girl) = 60/330 ≈ 0.1818 = 18.18%which statement would be true if you evaluate the expression 18x (365x12)
a. the solution is 3 times as small as 6x(365x12)
b. the solution is 6 times as small as (365x12)
c. the solution is 3 times as large as 6x(365x12
d. the solution is 3 times as large as 6x(365+12)
Answer:
c. the solution is 3 times as large as 6x(365x12)
Step-by-step explanation:
c. the solution is 3 times as large as 6x(365x12)
can someone please help for brainlest
Answer:125√3:6
Step-by-step explanation:
Name the marked angle in 2 different ways.
Angle LNM and angle MNL
pls follow and mark brainliest
Please help!
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
I'll give branliest! please help!!
Answer:
Step-by-step explanation:
So we know angles A and B add up to 180 degrees.
This gives us x+2 + 2x+4
We can simplify this to 3x+6 = 180
3x = 174
x=58
Now we know value of X, we can use it to find A's angle
Since, a = x + 2
a = 60
PLEASE HELP
Find the number of edges on this solid
Answer:
8
Step-by-step explanation:
count the number of solid-black lines.
A system of two equations is shown.
y= 5x + 3
y = 3x - 1
A Graph the two lines.
B. What is the solution of the system?
Answer:
x=-2;y=-7
Step-by-step explanation:
y=5x+3
y=3x-1
3x-1=5x+3
-2x=4
x=-2 y=5x+3 y=5×(-2)+3 y=-7
What is the slope of the line shown below?
Answer:
The answer is C
Step-by-step explanation:
1-(-7)=8
9-(-3)=12
8/12=2/3
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
6 hours
7 hours
8 hours
9 hours
Answer:
8 hours
Step-by-step explanation:
In 4 hours she earns 16 dollars
Since this is proportional ( goes through zero), we can multiply by 2
8 hours = 32 dollars
Jada needs to walk the dog for, 8 hours.
4x8 = 32
Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset
Answer: A.
Step-by-step explanation:
Data: Fraction that turning into a repeating decimal number=x
Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10
Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal
With that being said, the answer would be A.(1/12)
I hope this helps(Mark brainliest if you'd like to)
What is the value of this expression when m = 6? the difference of the product of 3 and m minus the quotient of m divided by 2
Answer:
15
Step-by-step explanation:
Expressing the sentence Mathematically ;
The product of 3 and m = 3m
Quotient of m divided by 2 = m/2
Hence, the expression becomes ;
3m - m/2 ; value of expression when m = 6
(3m - m/2) ; when m = 6
(3(6) - 6/2)
(18 - 3)
= 15
f(x)=3(0.75)x exponential growth or exponential decay
Find angle N and arc NQ. See the image below.
Answer:
Angle N=32
Arc NQ=106
Step-by-step explanation:
Angle N is a inscribed angle of Arc MP so that means Angle N measures 32.
Angle NPQ is a inscribed angle of Arc NQ so that means Arc NQ is twice the measures of NPQ so
Arc NQ=106
find the difference (2m+3)-(7m-5)
Answer:
- 5m + 8
Step-by-step explanation:
Given:
(2m + 3) - (7m - 5)
If you want to find the differences between two values, it means you are to subtract
(2m + 3) - (7m - 5)
This means subtract (7m - 5) from
(2m + 3)
Step 1: Open parenthesis
(2m + 3) - (7m - 5)
= 2m + 3 - 7m + 5
Group like terms
= 2m - 7m + 3 + 5
= - 5m + 8
Or
= 8 - 5m
Find the volume of each shape.
Step-by-step explanation:
V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18x16=288
3.V=LWH L is the length, W is the width and H is the height.
10x14x5=700
NEED HELP; What is the value of x?
X/8=6/12
A. 3
B. 5
C. 4.
D. 0.5
Answer:
the answer is 4
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What is the solution to this inequality?
[tex]x \div 12 + 3 \leqslant 7[/tex]
What Value of X satisfies this equation?
Answer:
x=0
Step-by-step explanation:
4 ( 2.5) ^x = 4
Divide each side by 4
4/4 ( 2.5) ^x = 4/4
( 2.5) ^x = 1
Take the log of each side
log ( 2.5) ^x = log (1)
x log ( 2.5) = log 1
x log (2.5) = 0
Divide each side by log (2.5)
x = 0
Label the chart with the correct place value. hundredths tenths thousandths
Answer:
1020000is a hundredth tenths thousands
plzz help 100 points
Part B
What is the measurement of angle G? Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c. Part D
What is the measurement of angle C?
Finishing the angles of the smaller triangle if E is 90 and F is 30 then G needs to be 180-90-30 = 60 degrees.
Angles G and C are supplementary angles which need to equal 180 degrees
Angle c = 180-g = 180-60 = 120
Angle c = 120 degrees.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then Δ EGF
∠ G = 180° - (90 + 30)° = 180° - 120° = 60°
------------------------------------------------------------
c and g are adjacent angles and sum to 180° , then
c + g = 180° , that is
c + 60° = 180° ( subtract 60° from both sides )
c = 120
That is ∠ C = 120°