radius of small cone= 4 cm
radius of large cone= 6 cm
height of small cone= 4 cm
height of large cone= 20 cm
solution:big:[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20[/tex]
[tex]v = 753.98 \: {cm}^{3} [/tex]
small:[tex]v = \frac{1}{ 3 } \pi {r}^{2} h[/tex]
[tex]v = \frac{1}{3} \times \pi \times {4}^{2} \times 4[/tex]
[tex]v = 67.02 \: {cm}^{3} [/tex]
frustum:[tex]v = 753.98 - 67.02[/tex]
[tex]v = 686.96 \: {cm}^{3} [/tex]
volume of smaller cone:
[tex] = 67.02 {cm}^{3} [/tex]
volume of larger cone:
[tex] = 753.98 {cm}^{3} [/tex]
frustum:
[tex] = 686.96 {cm}^{3} [/tex]
Evaluate what is the answer to
3.4
+
5.14
Is there any bias in the survey question? Explain.
What do you think would help students pay more attention in class?
SOMEONE PLEASE HELP!!!
Answer:
yes
Step-by-step explanation:
because everyone has a different method that works for them.
but then again it uses the pronoun you which means its asking for your opinion its not phrased
what would help študents pay more attention in class
so yes and no
solve the equations:
1.) 8x-3=7
2.) 5+7x=24
3.) 5=6+4x
Hi Student!
Usually the first step that I take for any problem would be to gather any important information that would be needed in the problem. However, for this problem, it is pretty straight forward because we just need to solve for the unknown which is x.
Add 3 to both sides
[tex]8x - 3 = 7[/tex][tex]8x - 3 + 3 = 7 + 3[/tex][tex]8x = 10[/tex]Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{10}{8}[/tex][tex]x = \frac{10}{8}[/tex][tex]x = 1.25[/tex]For the first equation, we were able to solve for x and get that the solution for the unknown is 1.25
Subtract 5 from both sides
[tex]5+7x=24[/tex][tex]5 - 5+7x=24- 5[/tex][tex]7x=19[/tex]Divide both sides by 7
[tex]\frac{7x}{7}=\frac{19}{7}[/tex][tex]x=\frac{19}{7}[/tex]For the second equation, we are able to solve for x and get that the solution for the unknown is 19/7
Subtract 6 from both sides
[tex]5=6+4x[/tex][tex]5-6=6-6+4x[/tex][tex]-1=4x[/tex]Divide both sides by 4
[tex]\frac{-1}{4}=\frac{4x}{4}[/tex][tex]\frac{-1}{4}=x[/tex][tex]-0.25=x[/tex]For the final equation, we are able to solve for x and get that the solution for the unknown is -0.25
Answer:
1) [tex]x=\frac{5}{4}=1\frac{1}{4}[/tex]
2) [tex]x=\frac{19}{7}=2\frac{5}{7}[/tex]
3) [tex]x=-\frac{1}{4}[/tex]
Step-by-step explanation:
1) 8x - 3 = 7
1. Group all constants on the right side of the equation
[tex]8x-3=7[/tex]
Add 3 to both sides:
[tex]8x-3+3=7+3[/tex]
Simplify the arithmetic:
[tex]8x=7+3[/tex]
Simplify the arithmetic:
[tex]8x=10[/tex]
2. Isolate the x
[tex]8x=10[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{10}{8}[/tex]
Simplify the fraction:
[tex]x=\frac{10}{8}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{5\cdot 2}{4\cdot 2}[/tex]
Factor out and cancel the greatest common factor:
[tex]x=\frac{5}{4}[/tex]
2) 5 + 7x = 24
1. Group all constants on the right side of the equation.
[tex]5+7x=24[/tex]
Subtract 5 from both sides:
[tex]5+7x-5=24-5[/tex]
Group like terms:
[tex]7x+5-5=24-5[/tex]
Simplify the arithmetic:
[tex]7x=24-5[/tex]
Simplify the arithmetic:
[tex]7x=19[/tex]
2. Isolate the x
[tex]7x=19[/tex]
Divide both sides by 7:
[tex]\frac{7x}{7}=\frac{19}{7}[/tex]
Simplify the fraction:
[tex]x=\frac{19}{7}[/tex]
3) 5 = 6 + 4x
1. Swap sides
[tex]5=6+4x[/tex]
Swap sides:
[tex]6+4x=5[/tex]
2. Group all constants on the right side of the equation
[tex]6+4x=5[/tex]
Subtract 6 from both sides:
[tex]6+4x-6=5-6[/tex]
Group like terms:
[tex]4x+6-6=5-6[/tex]
Simplify the arithmetic:
[tex]4x=5-6[/tex]
Simplify the arithmetic:
[tex]4x=-1[/tex]
3. Isolate the x
[tex]4x=-1[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{-1}{4}[/tex]
Simplify the fraction:
[tex]x=\frac{-1}{4}[/tex]
----------------------
Why learn this:
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
---------------------
Terms and topics
Linear equations with one unknownThe most common use of linear equations is to solve problems involving an unknown variable, generally (but not always) x, and a known constant.
Solving linear equations requires isolating the unknown variable on one side of the equation and simplifying the remainder. Anything done to one side of the equation must also be done to the other when simplifying.
An equation of:
[tex]ax+b=0[/tex]
A typical linear equation with one unknown is in which a and b are constants and x is the unknown variable. In this case, we would isolate x by removing b from both sides of the equation before solving for it. We'd then multiply both sides of the equation by a, yielding the following result:
[tex]x = -\frac{b}{a}[/tex]
-------------------
Learn More About Linear Equations With One Unknown
https://brainly.com/question/14323743https://brainly.com/question/13738662https://brainly.ph/question/11134622How are the two functions f(x) = 0. 7(6)x and g(x) = 0. 7(6)–x related to each other? g(x) is the reflection of f(x) over the x-axis. G(x) is the reflection of f(x) over the y-axis. G(x) is the reflection of f(x) over both axes. G(x) and f(x) will appear to be the same function.
answer the question then, I will award you with a answer to your question!
Answers: 585, 587, and 593
Basically everything except 599
==============================================================
Why?
Those answers in bold are closer to 590 than they are to 580 or 600. When rounding to the nearest ten (not tenth) we look at the units digit. If it is 5 or larger, then we bump the tens digit up by 1 and replace the units digit with a 0.
This explains why 585 and 587 round to 590
The number 599 rounds to 600 for similar reasoning, but we cross it off the list since we want 590.
The number 593 rounds to 590 because the 3 in the units digit isn't 5 or larger. So we just replace the 3 with 0 and keep everything else as is.
whats the answer to 3x1/2
Answer:
1.5
Step-by-step explanation:
3×1/2
3×1/2=
3/1×1/2
3/2= 1.5
A certain commercial jet plane uses a mean of 0.15 gallons of fuel per passenger-mile, with a standard deviation of 0.01 gallons. Find the mean number of gallons the plane uses to fly 8000 miles if it carries 210 passengers.
Answer:
I do not know I am very sorry brother now begone
Janay cut a drinking straw into three pieces (shown below) to investigate a triangle postulate. He moves the straw pieces to make triangles that have been translated, rotated, and reflected from an original position. The end of one piece is always touching the end of another piece. Which postulate could Zhan be investigating using only these straw pieces and no other tools?
Answer:
B. If three sides of one triangle are congruent to three sides of a second triangle then, the triangles are congruent.
Wht is the range of g?
Answer:
D
Step-by-step explanation:
Range = Y coordinats of a the points
what is the decimal equvalent of 5/6
Answer:
0.833
Step-by-step explanation:
Find the sum (pre calc)
[tex]\text{It is a geometric series.}\\\\\text{First term,}~ a = 2\\\\\text{Common ratio,}~ r = \dfrac{-\tfrac 43}2 = -\dfrac 46 = -\dfrac 23\\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac{a}{1-r}\\\\\\~~~~~=\dfrac{2}{1-\left(- \dfrac 23 \right)}\\\\\\~~~~~=\dfrac{2}{1+ \dfrac 23}\\\\\\~~~~~=\dfrac{2}{\tfrac 53}\\\\\\~~~~~=\dfrac{6}{5}\\\\[/tex]
[tex]\text{The answer is}~ \dfrac 65[/tex]
A circle with some chord, where a diameter of a circle intersects the
midpoint of that chord. Prove: The diameter is perpendicular to the chord.
Answer:
Step-by-step explanation:
Answer:
This is a theorem that says "if a diameter of a circle bisects a chord, then it is perpendicular."
Step-by-step explanation:
50 hours total 20 spent joggin what % is that
Answer:
40%
Step-by-step explanation:
Total hours = 50Hours spent on jogging = 20Jogging percentage =[tex]\frac{20}{50}\times 100[/tex]Jogging percentage = 40%Which expression can be used to find 532 divided by 4?
A: (500 divided by 4)+(30 divided by 4)
B: (500 divided by 4)+(32 divided by 4)
C: (500 divided by 4)+(30 divided by 4)+2
D: (500 divided by 4)+(32 divided by 4)+2
C: (500 divided by 4)+(30 divided by 4)+2
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2
<
Translate the sentence into an equation.
The sum of 5 times a number and 6 is 9.
Use the variable y for the unknown number.
Answer:
5y + 6 = 9
Step-by-step explanation:
If you want to take it a step further and solve it:
5y = 3
y = 3/5
Determine the solubility for cuc2o4(s) in pure water. Ksp for is 2. 9 × 10^-8
Based on the elements and charges in Copper (II) Oxalate, CuC₂O₄(s), the solubility in pure water is 1.7 x 10⁻⁴ M.
What is the solubility of Copper (II) Oxalate in pure water?The solubility equilibrium (Ksp) is 2.9 x 10⁻⁸ so the solubility can be found as:
Ksp = [Cu²⁺] [C₂O₄²⁻]
Solving gives:
2.9 x 10⁻⁸ = S x S
S² = 2.9 x 10⁻⁸
S = 1.7 x 10⁻⁴ M
Find out more on solubility at https://brainly.com/question/23659342.
#SPJ1
The value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.
What is solubility?The solubility of a chemical compound or an element is the property or ability of it to be dissolved, specially in water.
The solubility for CuC₂O₄(s) in pure water has to be found out. The solubility product is,
[tex]K_{sp}=2. 9 \times 10^{-8}[/tex]
Let suppose x is the molar solubility of CuC₂O₄(s). From the ICE approach solution,
[tex]K_{sp}=x^2\\2. 9 \times 10^{-8}=x^2\\x=\sqrt{2. 9 \times 10^{-8}}\\x=1.703 \times 10^{-4}\rm\; M[/tex]
Thus, the value of solubility for cuc2o4(s) in pure water when the value of solubility product, Ksp for it is 2.9 ×10⁻⁸, is 1.703 × 10⁻⁴.
Learn more about the solubility here;
https://brainly.com/question/4529762
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The prices of bicycles at two stores are shown. Bikeville: 140, 160, 800, 235, 250, 450, 80, 115, 220, 250, 96, 290, 150 Discount Bicycles: 50, 180, 300, 110, 120, 150, 155, 285, 120, 200, 70, 175, 95
Sketch box plots to represent the prices of the bicycles.
Identify the five key values of each store’s prices.
Compare the two box plots.
Answer:
1. unknow
2. mean median range spread average
3. the bike Ville is more expensive in everything
Using Average, the prices of bicycles at two stores are compared.
What is average?Average is the" sum of observations divided by total number of observations".
According to the question,
The price of bicycles at two stores are shown.
Bikeville: 140 160 800 235 250 450 80 115 220 250 96 290
Discount Bicycles: 50 180 300 110 120 150 155 285 120 200 70 175 95
Average of bikeville = [tex]\frac{sum of observations}{Total number of observation}[/tex]
= 140 + 160 + 800 + 235 + 250 + 450 + 80 + 115 + 220+250+96+29
= 3086
Average of bikeville= 3086/12
= 257.167
Average of Discount of bicycles:
( 50 +180+100+110+120+150+155+285+
120+150+155+285+120+200+70+175+95) =2720
= 2720/15
=181.33
Average of Discount of bicycles is 181.33.
Hence, using Average the prices of bicycles at two stores are compared.
Learn more about average here
https://brainly.com/question/13191507
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Suppose E is an event whose probability of occurring is
2
3
. What is the probability that E will NOT occur?
A) -
2
3
B) -
3
2
C)
1
2
D)
1
3
sorry the nubers are fractions
Answer:
D. 1/3
Step-by-step explanation:
Answer:
A 1/3
Step-by-step explanation:
Event e either will take place or not. The probability that it'll take place is already given as 2/3.this means that 1/3 is the probability that it won't take place
a
0) Chelsea invests $4,734 in a savings
account with a fixed annual interest rate of
4.02% compounded 4 times per year.
What will the account balance be after 12
years?
A) $7,962.65 B) $8,625.82
C) $8,287.61 D) $7,650.44
Answer:
$7650.44
Step-by-step explanation:
Annual interest rate = 4.02%
but compound 4 times per year, means quarterly compound
quarterly interest rate = 4.02%/4 = 1.005%
Account balance = 4734 * (1.01005)^48 [compound 4 times a year for 12 years]
= 4734 * 1.616
= 7650.44
Answer:
D) $7,650.44
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $4,734r = 4.02% = 0.0402n = 4 (quarterly)t = 12 yearsSubstituting the given values into the formula and solving for A:
[tex]\large \text{$ \sf \implies 4734\left(1+\frac{0.0402}{4}\right)^{4 \times 12} =7650.435473$}[/tex]
Find the value of X express your answer in simplest radical form.
[tex]\text{Apply Pythagorean theorem,}\\ \\~~~~~~~x^2 = 25^2 +75^2\\\\\implies x =\sqrt{25^2 +75^2}\\ \\\implies x = \sqrt{625+5625}\\\\\implies x = \sqrt{6250}\\\\\implies x =\sqrt{625 \times 10}\\\\\implies x = \sqrt{25^2 \times 10}\\\\\implies x = 25\sqrt{10}[/tex]
Graph the following features:
Slope = -3
Y-intercept = 5
Answer:
y=-3x+5
Step-by-step explanation:
Work out ( 7x10^5) divide ( 2x10^2)
Answer:
The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }
2×10
2
7×10
5
is 3.5\times 10^{3}3.5×10
3
.
Step-by-step explanation:
Given:
\frac{7\times 10^{5} }{2\times 10^{2} }
2×10
2
7×10
5
To Find:
The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }
2×10
2
7×10
5
.
Solution
As given- \frac{7\times 10^{5} }{2\times 10^{2} }
2×10
2
7×10
5
.
\frac{7\times 10^{5} }{2\times 10^{2} } = 3.5\times 10^{5-2}
2×10
2
7×10
5
=3.5×10
5−2
= 3.5\times 10^{3}=3.5×10
3
Thus, the value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }
2×10
2
7×10
5
is 3.5\times 10^{3}3.5×10
3
.
Step-by-step explanation:
Hope it helps.
Instead of using the values {1, 2, 3, 4, 5, 6} on dice, suppose a pair of dice have the following {1, 2, 2, 3, 3, 4} on one die and {1, 3, 4, 5, 6, 8} on the other. Find the probability of rolling the sum of 7 with these dice. Be sure to reduce.
The dice will show a sum of 7 if you roll
• 1 and 6
• 2 and 5 (2 ways)
• 3 and 4 (3 ways)
so there are 6 ways of rolling a sum of 7. Out of 6 × 6 = 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 = 1/6.
The graph shows the solution to a system of equations. What is that solution?
A)
(–2,2)
B)
(2,2)
C)
(–2,–2)
D)
(2,–2)
Answer:
A, (-2,2)
Step-by-step explanation:
Is this triangle acute, right, or obtuse?
acute
right
obtuse
Answer:
right triangle
Step-by-step explanation:
it has a 90 degree sign by the base of the triangle
pls solve and show steps!
Answer:
? Not a solution
Step-by-step explanation:
(128 ÷ 32) ÷ -4?
tysm for de help :D
Answer:
-1
Step-by-step explanation:
(128 ÷ 32) ÷ -4?
Alright, first things first lets think about PEMDAS.
Parenthesis first so 128/32 is 4!
4/-4 is going to be -1!
Your answer will be -1
Hope this helps!
Solve. 3(a – 5) – 6 = –15
Answer:
a=6
Step-by-step explanation:
distribute:
3a-15-6=-15
combine like terms:
3a-21=-15
add 21 to each side:
3a=6
divide by 3:
a=2
PLESSE HELP IM FAILING MATH RN
30. The average of a list of 4 numbers is 92.0. A new list
of 4 numbers has the same first 3 numbers as the
original list, but the fourth number in the original list
is 40, and the fourth number in the new list is 48. What
is the average of this new list of numbers?
F. 81.0
G. 92.0
H. 94.0
J. 94.4
K. 96.6
Answer:
H. 94.0
Explanation:
The original list: [tex]a _1[/tex] [tex]a _2[/tex] [tex]a _3[/tex] [tex]40[/tex]
The new list: [tex]a_1[/tex] [tex]a_2[/tex] [tex]a_3[/tex] [tex]48[/tex]
[tex]\frac{a_1+a_2+a_3+40}{4} =92[/tex]
[tex]a_1+a_2+a_3=92[/tex] × [tex]4-40=328[/tex]
[tex]\frac{a_1+a_2+a_3+48}{4} =\frac{328+48}{4} =94[/tex]
