Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (2, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-7}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-15}{6}[/tex]Simplify: [tex]m=\frac{-5}{2}[/tex]Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R.
This question is incomplete, the complete question is;
Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)
What is the maximum volume?
Answer:
a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm
b) the maximum volume is 2418 cm³
Step-by-step explanation:
From the image
radius of the sphere is 10cm
radius of the cylinder is x and its height is 2y
so
The volume of cylinder is V = πr²h = πx²(2y)
Get V as function of just one variable x² + y² = 100
x² = 100 - y²
Therefore V = π( 100-y² )(2y) = 200πy-2πy³
V will be a maximum when V' = 0
V' = 200π - 6πy² =0
y² = 200π / 6π = 100/3
y = √(100/3) = 5.7735
x² = 100 - y²
x² =100 - (100/3)
x = √(200/3)
x = 8.1650
So The maximum volume will occur when the radius is 8.1650 cm
and the height 2y is 2(5.7735) = 11.547 cm
The maximum volume is
πr²h = π(8.1650)² (11.547 )
= 2418 cm³
Therefore the maximum volume is 2418 cm³
PLEASE HELP meeeeee asap
Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.
A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back
A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
Answer:
792 ways
Step-by-step explanation:
We can solve this using the combination formular
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.
Hence, in this case, n = 12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.
Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.
!!!Plz help!!Choose the most appropriate name for the function described below.
The amount of bread depends on the amount of flour used to make it.
A. Flour(amount), or F(a)
B. Bread(flour), or B(0)
C. Flour(bread), or F(b)
D. Bread(amount), or B(a)
Answer:
Step-by-step explanation: The answer is Bread(flour) or b(f)
A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity of all other ingredients?
Answer:
8.25 batches.
(Or, if rounding to the lowest amount of batches, 8 batches)
Step-by-step explanation:
We have in total 5 1/2 cups of sugar.
And the recipe calls for 2/3 cups of sugar.
So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:
[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]
Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.
Therefore:
[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]
To divide fractions, we keep, change, and flip. Therefore:
[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]
Multiply straight across:
[tex]=\frac{33}{4}=8.25[/tex]
So, we can make 8.25 batches.
Or, we can make 8 full batches.
I need an answer quick. I am trying to finish this fast.
Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
Answer:
D. The m<4 is 137°
Step-by-step explanation:
The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°
In timed pls help
To find this product, Julissa first multiplied 83 x 49.
0.83 x 0.49 = 4067
Where should she place a decimal point in the final product
O Before the 4
O after the 4
O after the 0
O before the 7
Answer:
that guys answer is right thx and have a god day :)
Step-by-step explanation:
What is 15 divided by 7.4?
Options:
-does
- does not
Answer:
It does!
Step-by-step explanation:
A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Source: Columbia.edu
(I'm greedy and want points )
Fill in the table using this function rule.
y=-3x + 5
Answer:
y=-3(-4)+5,,,, you get y=12+5 y=17
y=-3(-2)+5,,,, you get y=6+5 y=11
y=-3(0)+5,,,, you get y=0+5 y=5
y=-3(2)+5,,,, you get y=-6+5 y=-1
Step-by-step explanation:
hope it helps:)hellpppppp please I will give brainliest
Answer:
ITS THE 2ND ONE
Step-by-step explanation:
Answer:
y = 5/4x - 1
Step-by-step explanation:
if you look at the graph you will probably be able to tell
im not trying to be me if you think
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
9×7=
9×70=
9×700=
9×7,000=
9×70,000=
9×700,000=
9×7,000,000=
Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9
Answer:
I'm thinking it's 9
Step-by-step explanation:
Substitution
2x-y=7
3x-2y=10
Answer:
x=4
y=1
Step-by-step explanation:
List the transformations of the function
j(x) = 3(-7(x+2))-4
Answer:
transformations of function 3(-7(x+2))-4
vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axisFor f(x)=-5x+10, what is the value of x for which f(x) =35
X = 5
None are correct
X=3
X=-4
X=-5
Answer:
x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35
Answer:
-5
Step-by-step explanation:
f(x) =35
f(x) = -5x +10
equate the two equations:
-5x +10 =35
-5x =35-10
-5x =25
x = 25/-5
x = -5
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more mar-
bles than Kyle has. How many marbles does
Kyle have?
b. Tiffany has 12 blocks, 5 of which are cubes
and the rest cylinders. How many blocks are
cylinders?
c. Peter had some carrots. After he ate 3 of
them, he had 14 carrots left. How many car-
rots did Peter have before?
d. In a bag of 17 marbles, 9 marbles belong to
Kelly and the rest belong to Shauntay. How
many marbles belong to Shauntay?
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntaya) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Step-by-step explanation:
Nutted now I’m shaking
Answer:
Um... Ok..
Step-by-step explanation:
...
what is the slopeof the function x=(-4) y=(-2)
Answer: The answer is -4. Hope this helps!
Which is a simplified form of the expression -6a + 2(2a + 2)?
A. -2a + 4
B. -2a – 4
C. 2a + 4
D. 2a – 4
Answer:
A.
Step-by-step explanation:
We have the expression:
[tex]-6a+2(2a+2)[/tex]
First, let’s distribute the 2 on the right:
[tex]=-6a+2(2a)+2(2)[/tex]
Multiply:
[tex]=-6a+4a+4[/tex]
Now, combine like terms:
[tex]=-2a+4[/tex]
Hence, our answer is A.
Answer:
a
Step-by-step explanation:
Help please ... thanks
Can you help me please and thank you
Answer:
I believe the answers in the blank should be 4
Step-by-step explanation:
Answer:
= (4 x 5) + (4 x 2)
Step-by-step explanation:
remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol
20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?
Answer:
1/10
Step-by-step explanation:
Cynthia has a bag of jellybeans.
There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.
total no. of red jellybeans = 2
total no. of jellybeans = 20
Now,
2 ÷ 20 = 1/10
Thus, The probability that she gives him two red jellybeans is 1/10
Answer:
D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.
Step-by-step explanation:
Pretty much, dependent means it can’t be replaced and independent means it can be replaced.
Solve these inequalities:
7x-1<26-2x
please help me with this one guys ;-;
Answer: inequality form x < 3 interval form: ( -∞, 3)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
h
– -1 = -3
6
what is the answer
Answer:
-36
Step-by-step explanation:
Solve for x: (5 points)
negative 4 over 3, multiplied by x minus 6 equals negative 26
a
−27
b
−15
c
15
d
27
Answer:
the problem is like that or is showing u how are the equations ?
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?
Answer:
[tex]Total = \$5.94[/tex] ---- in dollars
[tex]Total = 594\ cents[/tex] ---- in cents
5 dollars 94 cents
Step-by-step explanation:
Given
Pears
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$0.76[/tex] per pound
Grapes
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$1.40[/tex] per pound
Required
Determine the amount paid for the fruit in dollar and cents
First, we need to calculate the amount paid for each fruit.
This is calculated by multiplying the amount per pound by the number of pounds bought.
For Pears:
[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]
Convert fraction to decimal
[tex]Total_{Pears} = 2.75 * \$0.76[/tex]
[tex]Total_{Pears} = \$2.09[/tex]
For Grapes
[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]
Convert fraction to decimal
[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]
[tex]Total_{Grapes} = \$3.85[/tex]
Next, we add both amounts together to get the total amount spent in dollars.
[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]
[tex]Total = \$2.09 + \$3.85[/tex]
[tex]Total = \$5.94[/tex]
Multiply by 100 to convert this amount to cents
[tex]Total = 5.94 * 100\ cents[/tex]
[tex]Total = 594\ cents[/tex]
And it can be represented as dollars and cents as:
5 dollars 94 cents
1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?
Answer:
a= 336 different ways
b= 10 possible combinations
Step-by-step explanation:
As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight
8 P 3= 336 different ways the eight machines be arranged in the three spaces available.
Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.
5C2 = 10 possible combinations of two parts can be selected.