Answer:
[tex]4.91 in[/tex]
Step-by-step explanation:
a bucket has the form of a cylinder, which has the following formula for its volume:
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
Since we need to find the radius, we solve for r:
[tex]r^2=\frac{V}{\pi h}\\ \\r=\sqrt{\frac{V}{\pi h} }[/tex]
and since we know according to the problem that:
[tex]V=885in^3[/tex]
and
[tex]h=11.7in[/tex]
substituing these values:
[tex]r=\sqrt{\frac{885in^3}{(3.14)(11.7in)}}\\ \\r=\sqrt{\frac{885in^3}{36.738in}}\\\\r=\sqrt{24.0895in^2}\\\\r=4.908in[/tex]
the radius is: [tex]4.908in[/tex] which can be rounded to [tex]4.91 in[/tex]
The product of two irrational numbers is rational.
Answer:
It can be both rational and irrational.
Step-by-step explanation:
A sphere has a radius of 5 inches. What is its volume? Sphere V = 4 3 πr3 1. Substitute the radius into the formula: V = 4 3 π(53) 2. Evaluate the power: V = 4 3 π(125) 3. Simplify: V = in.3
Answer:
The volume of sphere is 524 in³ .
Step-by-step explanation:
By substituing the radius into the formula :
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Let r = 5,
[tex]v = \frac{4}{3} \times \pi \times {5}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times 125[/tex]
[tex]v = \frac{500}{3} \pi[/tex]
[tex]v = 524 \: {inches}^{3} (3s.f)[/tex]
Answer:
The first person who answered this is wrong. It's 500/3 in.3
Step-by-step explanation
Did it on Edge.
How many real roots does the following equation have?
x4 -81 = 0
Answer:
Find roots of x4−81=0 by solving for x. x=3,−3
Step-by-step explanation:
The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots x = 3 and
x = -3.
We have,
The given equation [tex]x^4[/tex] - 81 = 0 can be factored as a difference of squares:
[tex](x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0[/tex]
Further simplifying:
(x - 3)(x + 3)(x² + 9) = 0
From this factorization, the equation has two linear factors (x - 3) and
(x + 3) and one quadratic factor (x² + 9).
The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.
x = 3 and x = -3.
The quadratic factor (x² + 9) has no real roots.
This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.
Therefore,
The given equation [tex]x^4[/tex] - 81 = 0 has a total of two real roots,
x = 3 and x = -3.
Learn more about equations here:
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You and a friend are playing a game of tossing two coins. If both heads or both are tails, you win. Otherwise, your friend wins. The table shows the possible outcomes. Is this a fair game?
Answer:
yes
Step-by-step explanation:
All possible outcomes when flipping two coins are HH, HT, TH, and TT, where H is heads and T is tails. Of these 4 outcomes, 2 make you win and 2 make your friend win. Because you and your friend are equally likely to win the game, it is a far game. Hope this helps!
Answer:
yes it is a fair game
Step-by-step explanation:
..........,,,...............
Use mental math to calculate the following.
e). 60
f). [tex]\frac{4}{9}[/tex]
f(x) = 2x^2 – 5x; find f(3)
Answer:
f(3) = 3
Step-by-step explanation:
f(x) = 2x^2 – 5x
Let x = 3
f(3) = 2(3)^2 - 5(3)
= 2*9 -15
= 18-15
=3
Answer:
f(3)=3
Step-by-step explanation:
This question asks us to find f(3). We want to find what f(x), or y is, when x is equal to 3.
f(x)=2x^2-5x
Substitute 3 in for x.
f(3)=2(3)^2-5(3)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Evaluate the exponent first. 3^2 is the same as 3*3, which is equal to 9.
f(3)=2(9)-5(3)
Multiply 2 and 9
f(3)=18-5(3)
Multiply 5 and 3
f(3)=18-15
Subtract 15 from 18
f(3)=3
Question 11 - (3 marks available )
I think of a number, double it, and add eleven. I get twenty five.
a) Using the statement above, form an equation.
Use the letter 'X' for the unknown number.
b) Solve the equation.
Answer:
the answer is 7
Step-by-step explanation:
7 plus 7 add 11 equals twenty five
$3,000 is invested in an account that earns 3% annually interest, compounded monthly.
What is the value of the account after 10 years ?
Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.
The compound interest formula is expressed mathematically as;
A = P(1 + r/n)^(n*t)
Where A is amount accrued, P is principal, r is interest rate, n is number of times interest applied per time period and t is time.
Given the data in the question;
Principal P = $3,000Annual interest rate r = 3% = 3/100 = 0.03Compounded monthly n = 12Time t = 10 yearsPlug the given values into the formula above and solve for A.
A = P(1 + r/n)^(n*t)
A = 3000(1 + 0.03/12)^(12 × 10)
A = 3000(1 + 0.0025 )¹²⁰
A = 3000(1.0025 )¹²⁰
A = 3000( 1.34935354 )
A = $4,048.06
Given the principal and annual interest rate, the total amount accrued after 10 years is approximately $4,048.06.
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please help 2 questions
Answer:
1) 2002
2) 92
Step-by-step explanation:
1)
First, you need to find the area of the triangular base. The height of the triangle is 7, and the base is 26, meaning that the area is 7*26/2=91. Multiplying this by the length of the prism, you get 2002 cubic meters.
2)
First, you need to find the area of the trapezoidal base. The two bases of the trapezoid have lengths 12 and 11, while the height is 8, meaning that the area is 8*(12+11)/2=92 cubic centimeters.
Hope this helps!
Will mark as brainliest if correct
Answer:
1.2
Step-by-step explanation:
5*1.2=6
Answer: .9
Step-by-step explanation:
Solve the inequality.
5c + 3 ≤ −2
Answer:
c is greater than or equal to -1.
Step-by-step explanation:
Subtract 3 from both sides, divide by 5.
I have attached the work to your problem below.
I hope this helps.
what is -0.8- (-1.6)?
Answer:
0.8
Step-by-step explanation:
Solution:
0.8
Step by step explanation:
1) (0- 8/10) - (0-8/5)
2) Simplfy. 4/5
3) (0-4/5) - (-8/5)
4) (-4) - (-8)/5 = 4/5
Final result: 4/5= 0.8000
When a child was born, her grandfather decides to put $500 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options: Option A: An account that grows by 10.5% each year. Option B: An account that grows by $20 each year. Which option will result in a better 18th birthday gift? Explain your reasoning.
Answer:Answer B
Step-by-step explanation:
You get more money that way.
please help...again, i'm tired...still
Answer:
B
Step-by-step explanation:
Since all of the x- coordinates are below -4
the public library surveyed 220 people about their favorite movie if 25% of people chose documentaries how many people chose documentaries
Answer:
55
Step-by-step explanation:
Take the number of people surveyed and multiply by the percent that liked documentaries
220 *25%
Change to decimal form
220 *.25
55
Answer:
The answer is 55. .
Step-by-step explanation:
First, you take 25% and turn it into a decimal (0.25). Then, multiply 220 by 0.25 (55). Since it’s only asking for the documentaries, the answer is just 55
Plz help me out, I only have a minute to submit this..
Pilar built a tower by stacking identical layers on top of each other. If her tower used a total of 312 blocks and if the bottom layer has 13 blocks, how tall is her tower? Explain how you know.
Answer:
The height of the tower = 24 units.
Explanation:
In the question above, we are given the following variables.
The total number of blocks used = 312 blocks
The bottom layer( base of the tower) = 13 blocks
We are to find how tall the tower is = height of the tower = unknown.
The total number of blocks used = Volume of the tower = 312 cubic units(blocks)
Area of the base = number of the blocks used in the bottoms layer = 13 square units( block).
Because blocks are used, we assume that this is a Rectangular based prism
The Volume of a Rectangular based prism = Area of the base × h
312 = 13 × h
h = 312 cubic units ÷ 13 square units.
h = 24 units.
There fore, the height of the tower = 24 units
What is the domain of this exponential function? y=2x
Answer:
x∈R
Step-by-step explanation:
[tex]y=2^{x}[/tex]
2>0
The domain is all real numbers.
x∈R
Stanley surveyed his classmates to make a prediction about kids his age.
Hours
0
0.5
1.5
2
2.5
Number of Students
1
2
5
7
2
1
Use Step 1 of the GAISE model. Which could be a question Stanley asked?
A How long have you lived in this town?
B How long have you attended this school?
C How long do you spend on homework each day?
D How long have you spent learning a musical instrument?
Answer:
Step-by-step explanation:stanley chuppa mi colla
3 = b + 12
I need work and answer
Answer:
b= -9
Step-by-step explanation:
Plug in -9 for b.
3= -9+12
Solve.
3=3
Since both sides are equal, the answer is -9
I hope this helped you ;)
A rectangle has a height of 3 and a width of 2x2 + 3x – 5.
Answer:
Area = 6x^2 + 9x - 15.
Step-by-step explanation:
Its area = height * width
= 3 * (2x2 + 3x – 5)
= 6x^2 + 9x - 15.
step by step plz
3x^2 + 16x + 5
Answer:
3x^2 + 16x + 5
= (3x^2 + 15x) + (x + 5)
= 3x(x + 5) + (x + 5)
= (3x + 1)(x + 5)
Hope this helps!
:)
Find the median the first and third quartiles the interquartile range and my outliers for set of data 81,69,90,79,59,125,95,116,183,97,92,50,122,55,92
Answer:
Step-by-step explanation:
Find the median of the first and third quartiles
81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 92
50, 55, 59, 69, 79, 81, 90, 92, 92, 95, 97, 116, 122, 125, 183.
The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69
The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.
The interquartile range is the difference between the median of both the first and third quartile: which is 116 - 69 = 47.
There are no outliers in this set of data
Which always yields a cross section that is the same shape and size as the base of the figure
Answer:
a triangular pyramid when sliced parallel to its base
Step-by-step explanation:
Pablo makes a spinner to model the probability of simultaneously flipping a "heads" on a nickel, a "heads" on a dime, and a "heads" on a quarter. He divides his spinner wheel into sections for each possible combination of coin flips, and he colors green the section representing simultaneously flipping three "heads." If he decides to spin the arrow on the spinner 24 times, how many times can he predict the arrow will land on the green section?
times
Using proportions, it is found that he predicts that the arrow will land on the green section 24 times.
What is a proportion?A proportion is a fraction of a total amount.
Considering that each trial has a 1/2 probability of resulting in heads, the fraction correponding to the probability of simultaneously flipping three "heads" is given by:
[tex]p = \left(\frac{1}{2}\right)^3 = \frac{1}{8}[/tex]
Considering that he does this 24 times, we apply the proportion, hence:
[tex]\frac{1}{8} \times 24 = 3[/tex].
He predicts that the arrow will land on the green section 24 times.
More can be learned about proportions at https://brainly.com/question/24372153
All of the following have the same solution except _____.
50 = 5m
b + 2 = 8
x - 6 = 4
= 2
Answer:
Your answer is b+2=8. Good day.
Step-by-step explanation:
Answer:
I believe b+2=8
Step-by-step explanation:
m=10
b=6
x=10
the midpoint of chord AB is ( , ), and the slope of chord AB is BLANK
Answer:
midpoint of chord ab is (-2, 12) slope of chord ab is 1/2
Step-by-step explanation:
Answer this easy question.
Answer:
your camera is too close, i don't understand
Step-by-step explanation:
Answer:
What is the question?
During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How many baskets did whitney make
Answer:
Whitney made 6 baskets
Step-by-step explanation:
Let the number of baskets made by Whitney be x.
The 15 baskets made by
Chiyann is equal to 2 times plus 3 what Whitney made
Mathematically what she made would be 2x + 3
To get x, we equate this equation to 15
2x + 3 = 15
2x = 12
x = 12/2
x = 6 baskets
Find the diameter of a circle with an area of 256π square meters.
Answer:
d = 32 m
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Area of a Circle Formula: A = πr²
r is radiusRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterStep-by-step explanation:
Step 1: Define
Identify variables
A = 256π m²
Step 2: Derive
Rewrite formula
[Area of a Circle Formula] Substitute in r [Radius Formula]: [tex]\displaystyle A = \pi(\frac{d}{2})^2[/tex]Evaluate exponents: [tex]\displaystyle A = \pi(\frac{d^2}{4})[/tex]Multiply: [tex]\displaystyle A = \frac{\pi d^2}{4}[/tex]Step 3: Solve for d
Substitute in A [Modified Area of a Circle Formula]: [tex]\displaystyle 256 \pi \ m^2 = \frac{\pi d^2}{4}[/tex][Multiplication Property of Equality] Multiply 4 on both sides: [tex]\displaystyle 1024 \pi \ m^2 = \pi d^2[/tex][Division Property of Equality] Divide π on both sides: [tex]\displaystyle 1024 \ m^2 = d^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle 32 \ m = d[/tex]Rewrite: [tex]\displaystyle d = 32 \ m[/tex]Find the missing measurement. Photo attached
Answer:
Height Length: ( About ) 3.3 yards; Option B
Step-by-step explanation:
~ We are given the Area of this triangle, so let us apply the area of a triangle formula 1/2 * base * height ~
The base is known the be 4.1 yards, the Area 6.8 yards^2, so let us substitute these values into the formula for a triangle as to solve for height. At the same time let us declare x ⇒ height of the triangle:
6.8 = 1/2 * 4.1 * x,
6.8 = 2.05 * x,
x = 6.8/2.05,
Height Length: ( About ) 3.3 yards