Answer:
Volume Con = pi x radius^2 x h/3
Volume Sphere = 4/3 x pi x radius^3
Step-by-step explanation:
Volume of shape = Volume of Cone + 1/2 x Volume of Sphere
Volume of shape = pi x radius^2 x h/3 +1/2 (4/3 x pi x radius^3)
Volume = (3.14 x 39^2 x (81-39)/3) + 1/2(4/3 x 3.14 x 39^3)
Volume = (3.14 x 1521 x 14) + 1/2 (4/3 x 3.14 x 59319)
Volume = (66863.2) + (124174.4)
Volume = 191037.6
Volume = 191038 cubic ft
Determine whether or not each figure is a parallelogram. WILL MARK BRAINLIEST
Answer:
sorry don't know
Step-by-step explanation:
1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)
Answer:
1.44
Step-by-step explanation:
No. of warp coils manufactured in one group = 36
defect rate = 4%
That is 4 out of every 100 warp coil is defective
No. of defective warp coil in one group = 4% of warp coil in one group
= 4% of 36 =4/100 *36
= 1.44
Thus, there are 1.44 defective coil in each group.
Since, mean number is average number of defect.
So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44
Is x+by-z a monomial, binomial or trinomial?
Answer:
This would be a trinomial.
Step-by-step explanation:
This is because X is number 1, b(y) is the second number, and -Z is the third.
In a trinomial, there are three numbers.
I hope this helps :)
-4b - 5 + 2b =10. Can I have some help solving this.
Answer:
-7.5
Step-by-step explanation:
Simplify
-4b - 5 + 2b = 10
-2b - 5 = 10
-2b = 15
b = -7.5
Answer:
-7.5
Step-by-step explanation:
-4*- 7.5 =30
2*-7.5= -15
30-5-15=10
What is the answer to this?
4 x (3-2) + 18
PLEASE HURRY UP!!
Answer:
22
Step-by-step explanation:
4x(3-2)+18
4x(1)+18
4+18
22
4x+18
Answer:
22
Step-by-step explanation:
4 x (3-2) + 18
PEMDAS says parentheses first
4 x (1) + 18
Then multiply and divide
4 +18
Then add and subtract
22
Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm
Answer:
5324
Step-by-step explanation:
volume of cylinder=πr^2l=22/7×11^2×14=5324
Write an equation in slope-intercept form of the line shown. A graph of a line. The line passes through ordered pair negative 4 comma 0 and ordered pair 1 comma negative 5. $y=$
Answer:
y=-x-4
Step-by-step explanation:
Find the gradient then use the formula, y-y1 = m(x-x1) to find the equation.
Which expression re presents the volume of a cube whose edge length is 60 units
Answer:
60^3, so choice A
Step-by-step explanation:
The right answer of question no 20 is (60)^3.
well,I have given the answer of next one question also.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Question 16
............................................................
Answer:
[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]
Step-by-step explanation:
To answer this question, you can use a number pattern that is well-known in algebra & higher mathematics called Pascal's Triangle. However, for simplification reasons, I will use the Binomial Theorem as it is quite difficult to create Pascal's Triangle without just attaching an image. A binomial is any two-term expression that are not like terms (for instance, both are integers that lack a variable).
Part I - Expanding the Binomial using the Binomial TheoremAfter constructing Pascal's Triangle, you can use this method to expand a binomial. To do this, it will require a lot of patience and a lot of space.
Using Pascal's Triangle, we can expand the binomial entirely by referencing the exponents given and the coefficients that we have now solved for using Pascal's Triangle.
Referring to the seventh exponent row of the triangle, we can expand the binomial using a formula referred to as the Binomial Theorem.
The binomial theorem states that:
[tex]\large\boxed{(a+b)^{n}=\sum_{k=0}^{n} \binom{n}{k}a^{n-k}b^{k}, \textsf{where} \binom{n}{k}=\frac{n!}{(n-k)!k!} \textsf {\: and \:} n! = 1 * 2 * 3... \textsf{n}}[/tex]
Therefore, we can use this information to begin defining values and expanding the binomial.
We are given an a, b, and n value. These are defined as a = 2y, b = x, and n = 7.
Therefore, [tex](x + 2y)^{7}=\sum_{k=0}^{7} \binom{7}{k}(2y)^{7-k}(x)^{k}[/tex].
Using this information, you can then solve for every k-value. This will be slightly extensive. To solve for each k-value, ignore the summation sign and everything before it. You only need the information that follows the summation sign: [tex]\binom{7}{k}(2y)^{7-k}(x)^{k}[/tex]. This will then extend and allow you to only use the portions of the equation that require factorials.
Be sure that when you get a final answer that you always apply the exponent (k) to the final result.
k = 0
[tex]\binom{7}{0}(2y)^{7-0}(x)^0 = \frac{7!}{(7-0)!0!}(2y)^{7}(x)^{0}\\[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(7*6*5*4*3*2*1)}(2y)^{7}(x)^{0}[/tex]
[tex]1(2y)^{7} = 2y^7=(2y*2y*2y*2y*2y*2y*2y)= 128y^7[/tex]
[tex]\boxed{128y^7}[/tex]
k = 1
[tex]\binom{7}{1}(2y)^{7-1}(x)^{1}=\frac{7!}{(7-1)!1!}(2y)^{6}(x)^1[/tex]
[tex]\frac{7*6*5*4*3*2*1}{6*5*4*3*2*1} (2y)^{6}(x)^{1}[/tex]
[tex]7(2y)^{6}(x)^{1}=448xy^6[/tex]
[tex]\boxed{448xy^6}[/tex]
k = 2
[tex]\binom{7}{2}(2y)^{7-2}(x)^{2}=\frac{7!}{(7-2)!2!}(2y)^{5}(x)^2[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(5*4*3*2*1)(2*1)}(2y)^{5}(x)^2[/tex]
[tex]\frac{42}{2}(2y)^{5}(x)^2[/tex]
[tex]21(2y)^{5}(x)^{2}=672x^2y^5[/tex]
[tex]\boxed{672x^2y^5}[/tex]
k = 3
[tex]\binom{7}{3}(2y)^{7-3}(x)^3=\frac{7!}{(7-3)!3!}(2y)^{4}(x)^{3}[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(4*3*2*1)(3*2*1)}(2y)^4(x)^3[/tex]
[tex]\frac{210}{6}(2y)^4(x)^3[/tex]
[tex]35(2y)^4(x)^3=560x^3y^4[/tex]
[tex]\boxed{560x^3y^4}[/tex]
k = 4
[tex]\binom{7}{4}(2y)^{7-4}(x)^4 = \frac{7!}{(7-4)!4!}(2y)^3(x)^4[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}(2y)^3(x)^4[/tex]
[tex]\frac{840}{24}(2y)^3(x)^4[/tex]
[tex]35(2y)^3(x)^4=280x^4y^3[/tex]
[tex]\boxed{280x^4y^3}[/tex]
k = 5
[tex]\binom{7}{5}(2y)^{7-5}(x)^5=\frac{7!}{(7-5)!5!}(2y)^2(x)^5[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(2*1)(5*4*3*2*1)}(2y)^2(x)^5[/tex]
[tex]\frac{2520}{120}(2y)^2(x)^5[/tex]
[tex]21(2y)^2(x)^5 = 84x^5y^2[/tex]
[tex]\boxed{84x^5y^2}[/tex]
k = 6
[tex]\binom{7}{6}(2y)^{7-6}(x)^6=\frac{7!}{(7-5)!6!}(2y)^1(x)^6[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(1)(6*5*4*3*2*1)}(2y)^1(x)^6[/tex]
[tex]\frac{5040}{720}(2y)^1(x)^6[/tex]
[tex]7(2y)^1(x)^6=14x^6y[/tex]
[tex]\boxed{14x^6y}[/tex]
k = 7
[tex]\binom{7}{7}(2y)^{7-7}(x)^7=\frac{7!}{(7-6)(7!)}(2y)^0(x)^7[/tex]
[tex]\frac{7*6*5*4*3*2*1}{(1)(7*6*5*4*3*2*1)}(2y)^0(x)^7[/tex]
[tex]\frac{5040}{5040}(2y)^0(x)^7[/tex]
[tex]1(2y)^0(x)^7=x^7[/tex]
[tex]\boxed{x^7}[/tex]
Part II - Adding/Subtracting all Terms TogetherNow, we have to take a look at the original binomial and discover whether or not we are to add or subtract these terms together. The original binomial was [tex](x+2y)^7[/tex], so we will add (that is the operation of the binomial).
Therefore, we will add all of the terms that we started with following algebraic notation (that is, alphabetically and highest exponent to lowest exponent).
[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]
This is the final expanded binomial (now a polynomial).
Which point represents the center of the circle shown below?
Answer:
Point A
Step-by-step explanation:
Point A
The center of the circle is in the middle of the circle. Points C, T, R, and P are on the circumference of the circle, and A is in the middle of the circle, so it is point A
Point A represents the center of the circle, the correct option is D.
What is a Circle?A circle is a round shaped figure, all the points of a circle lie on the same plane and all the points on the circle are at equal distance from a single point called as center.
The image shows a circle.
The point which is equidistant from R,P,G, and T is A.
A is the center of the circle.
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Hurry please!!
Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7
the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The algebraic expression represents the phrase:
“seven more than half of a number”
As we know, expression can be defined as the combination of constants and variables with mathematical operators.
Let y be the number:
y = 7 + (1/2)x
The above equation represents the linear equation.
Thus, the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.
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What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions
Answer:
4,2
Step-by-step explanation:
did the test
The solution of the system of equation is (4, 2) which is correct option(A).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given the two systems of equations,
-3x + 5y = -2
3x + 7y = 26
Adding the both equations
-3x + 5y + 3x + 7y = -2+26
12y = 24
y = 2
Substitute the value of y in any one of the equations,
3x + 7 y = 26
3x + 7(2) = 26
3x = 26-14
3x = 12
x = 4
Hence, the solution of the system of equation is (4, 2).
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[21] Please help. What is the volume of the cooler in cubic inches?
Enter your answer as a number, like this: 42
Answer:
3,724
Step-by-step explanation: Length x width x height
19 x 14 x 14
19 x 14 = 266
266 x 14 = 3,742
hope this helped :)
Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram:
Answer:
Counting the unit on graph, we observes:
EK = MI = 8
EK // MI // x-axis
=> MEKI is parallelogram
Hope this helps!
:)
Answer: It has two pairs of parallel lines
Step-by-step explanation:
coordinates of E (-4,4) K (4,4) M(-6,-3) I( 2,-3)
The distance from E to K is 8 the same as the distance from M to I.
The distance from M to E is about 7.3 and the distance between K and I is the the same thing.
Pls answer quickly, this is due today !!!!!!
Mrs. Rappa has decided to take her $2,000 and go check out the savings accounts at Circle Bank of PI Haven. She picks up a flyer in the lobby. There are a couple of savings accounts to choose from. Look at the copy of the information from the flyer below. Write a letter to Mrs. Rappa and offer your advice to her about her options. Be sure to tell Mrs. Rappa your reasoning (using sentences and showing calculations for each account) to decide which account is best. If you have additional advice for Mrs. Rappa about the number of years she is investing her funds - you may do so.
Savings Accounts Interest Rate Years in account
Sleepy Savings 5% 7
Centsational Savings 10% 3
Answer:
Step-by-step explanation:
Dear Mrs.Rappa,
I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.
Sincerely,
First name Last name Here
Cindy has 6 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Cindy give 1/3 pound of candy?
Answer:
18
Step-by-step explanation:
In order to solve this problem just divide 1/3 from 6. Multiply the reciprocals to get 6 times 3, which equals 18. This means that she can give 18 friends 1/3 pound of candy.
Hope this helps and stay safe !
Answer: 18 friends each get 1/3 pound of candy.
Step-by-step explanation: 6 ÷ 1/3 can be solved by inverting the divisor and multiplying. So it becomes 6 × 3 = 18
HII PLEE SEE HELPP ME
Answer:
45.58ft2
Step-by-step explanation:
SA= bottom triangle + 3 top triangles
Answer:
45.58ft2
Step-by-step explanation:
SA= bottom triangle + 3 top triangles
Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill
Answer:
500 milliliters or ml
Step-by-step explanation:
First, we find the amount of milk is in the measuring cup which is 350 ml and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.
Hope it helped :)
The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Von mixes tomato sauce and milk to make soup.
Initially, the amount of tomato sauce added in the pot = 150 milliliters.
Then, milk is added that is in the measuring cup that is 350 milliliters.
So,
The total amount of soup made by him,
= 150 + 350
= 500 milliliters.
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Help! I need an explanation to the answer to get brainliest!
Answer:
Step-by-step explanation:
Use FOIL method
(2k + 1) (k - 4) = 2k*k + 2k*(-4) + 1*k + 1*(-4)
= 2k² - 8k + k - 4 {add the like terms}
= 2k² - 7k - 4
Answer:
2k²-7k-4
Step-by-step explanation:
(2k + 1 ) (k - 4)
2k * k - 2k * 4 + k - 4
2k² - 8k + k - 4
2k² - 7k - 4
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
Divide 3/5 by its reciprocal
Answer:
9/25
Step-by-step explanation:
3/5/5/3
3/5*3/5=9/25
Answer:
=9/25
Step-by-step explanation:
The reciprocal of 3/5 is 5/3, and when you divide it you multiply 3/5 * 3/5. Then you multiply the two and the answer you get is 9/25
HELP ASAP
table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613
What type of function best models the given data set?
A. Constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
Ginger is taking a cab in Washington D.C. The taxi fare includes a base charge of $3.00 as soon as you enter the cab, plus an additional $2.50 per mile traveled. If Ginger starts off with a $50 bill, takes a cab for 8 miles and leaves a $2 tip. How much money will she be left with?
Answer:
she will be left with 25 dollars
Step-by-step explanation:
2.50 x 8=20
20+3+2=25
Answer:
Answer is 25 dollars.
Step-by-step explanation:
3$- 50 dollars= 47.
2.50 x 8= 20 dollars.
20$ -47 = 27.
2$- = 25
what table shows no correlation?
Answer:
3rd one
Step-by-step explanation:
because in others there are negative numbers which can show us the forumals while the 3rd one has few of them
f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+
Answer:
f(1) = 36
f(n) = f(n-1) - 5.
Step-by-step explanation:
f(1) = 41 - 5 = 36.
f(n) = f(n - 1) - 5.
How to solve for x 15 + 8x = 45 + 6x
Answer:
15
Step-by-step explanation:
Let's solve your equation step-by-step.
15+8x=45+6x
Step 1: Simplify both sides of the equation.
8x+15=6x+45
Step 2: Subtract 6x from both sides.
8x+15−6x=6x+45−6x
2x+15=45
Step 3: Subtract 15 from both sides.
2x+15−15=45−15
2x=30
Step 4: Divide both sides by 2.
2x
2
=
30
2
x=15
Answer:
x=15
Answer;
x=15
Step by step:
15+8x=45+6x
8x-6x=45-15
2x=30
x=30/2
x=15
which of the following polynomial functions could represent the graph on the right?
1.) x³ + x² - 2x.
2.) 2x³ + 2x² - 4x.
3.) 3x³ + 3x² - 6x.
4.) -3x³ - 3x² + 6x.
it's 3.) on edg
Answer:
The answer is 3 :)
What is x2 + 6x = x2 - 6x as a system?
Answer:
x = 0
Step-by-step explanation:
I WENT TO PHOTO MATH
H O P E I T H E L P S ! ™©
Answer:
A. y=x^2+6x
y= x^2-6x
the answer to the second part is 0
Step-by-step explanation:
on edgenuity 2020 :))
marking brainliest :)
Answer:
B
Step-by-step explanation:
Answer:
i think B
Step-by-step explanation:
Write an equation of the line in slope intercept form.
Answer:
y = x + 3
Step-by-step explanation:
Answer:
y = x+3
Step-by-step explanation: