You are creating winter decorations to hang in your windows. You want to fill each glass ball with decorative snow and mini trees. The diameter of each ball is 4 in. About how much space do you have available to fill in each ball?Use 3.14 for pi
Answers
To answer this question we will use the following formula to compute the volume of a sphere:
\(Volume=\frac{\pi\times diameter^3}{6}.\)Substituting diameter=4in in the above formula we get:
\(Volume=\frac{\pi\times(4in)^3}{6}.\)Simplifying the above result we get:
\(Volume=\frac{\pi\times64in^3}{6}=\frac{32\pi}{3}in^3.\)Using 3.14 for pi we get:
\(Volume\approx33.49in^3.\)Answer: Option C.
Related Questions
It is expected that 30% of the criminals in our prisons are violent offenders, 65% are nonviolent, and 5% are actually innocent. A sample of 300 inmates showed that 90 were violent offenders, 200 were nonviolent, and 10 were innocent. At the .05 significance level, can we conclude that the observed frequencies are different than the expected frequencies?
Answers
So how's everyone day?
Is schoolwork fun, or terrible??
Is it hard to pretend that u actually like dis year :))))))
Answers
Answer:
2020 is trash brooo like dannnggg wegaofygawpyfgwy
Solve the system using the method of your choice.
3x+y=−12x−y=−8
Answers
Answer: x=-5,y=3
Step-by-step explanation: Add the 2 equations together, 3x+x=4x, y+(-y)=0, and -12-8=-20. This leaves us with 4x=-20, so x=-5. Plug x back into the equation, so -5-y=-8, add 5 to both sides so -y=-3, and y=3.
What is the value of x in the figure shown below?
x =
C
xo
32°
3.2
A
115°
4
4
D
3.2
B
Answers
maya needs 54 cubic feet of soil for her garden. she already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase?
Answers
Answer:
33 bags
Step-by-step explanation:
she has 4.5 ft³
she needs 54 ft³
she must get an additional
54 ft³ - 4.5 ft³ = 49.5 ft³
each bag has 1.5 ft³
(49.5 ft³)/(1.5 ft³) = 33
Answer: 33 bags
Assume that the halting language \(H_T_M\) is reducible to
some language B (\(H_T_M\) \($\leq$\) \(_m\) B). Is it possible that is decidable? Answer true/false and explain. Please help me this answer?
Answers
H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
How to Interpret Machine Language?A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.
Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.
Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .
S = “On input (M, B)
This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.
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using epsilon delta definition show that a quotient of polynomials is continuous everywhere except one point
Answers
Every rational number is of form = P/2
where q=0 & p, q are polynomial functions.
Let f(x)= P(x)/q(x),q(x)=0
where p(x) & q(x) are polynomials
Since p(x) & q(x) are polynomials we know that every polynomial function is continuous.
p(x),q(x) are continuous functions if p, q are continuous then p/q is continuous. Thus f(x)= p(x)/q(x) is continuous except at q(x)=0.
In calculus, the ε-δ definition of a limit is an algebraically precise formulation of evaluating the limit of a function. Informally, the definition states that a limit L of a function at a point \(x_{0}\) exists if no matter how \(x_{0}\) is approached, the values returned by the function will always approach L. This definition is consistent with methods used to evaluate limits in elementary calculus, but the mathematically rigorous language associated with it appears in higher-level analysis. The ε-δ definition is also useful when trying to show the continuity of a function.
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Need Help ASAP : Math Question : Professional football field is 160 feet wide. What's the width of the field in yards?
Answers
Answer:
53.3333
Step-by-step explanation:
I took 160 feet and converted it to yards
A construction company purchased 5 tons of cement. The price was $47 per ton. What was the total price of the cement?
Answers
Answer:
$235
Step-by-step explanation:
For the problem y=-(-x^2/2)-2x; [-3,1], find the value of c that satisfies the Mean Value Theorem.
Answers
Answer:
We seek to verify the Mean Value Theorem for the function
f(x)=3x2+2x+5
on the interval
[−1,1]
The Mean Value Theorem, tells us that if
f(x)
is differentiable on a interval
[a,b]
then ∃
c∈[a,b]
st:f'(c)=f(b)−f(a)b−a
So, Differentiating wrt
x
we have:
f'(x)=6x+2
And we seek a value
c∈[−1,1]
st: f'(c)=f(1)−f(−1)1−(−1)
∴6c+2=(3+2+5)−(3−2+5)2
∴6c+2=42
∴6c+2=2
∴6c=0
∴c=0
Which problem can be solved by performing this multiplication?
3/4×8/9
Responses
Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
Jada rode her bike 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike. How far did Sarah ride her bike?
Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
Answers
The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
As per option (B),
Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.
Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.
Sarah rides her bike = 3/4 × 8/9
Therefore, this problem can be solved by performing the above multiplication.
Hence, the correct answer would be an option (B).
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6. Write the unit rate for the following: a) Kate sews 100 dresses in a 20 day month. b) Kim runs 5 km in 30 minutes.
Answers
a) The unit rate of Kate's sewing productivity can be found by dividing the number of dresses by the number of days:
Kate sews 100 dresses in 20 days.
The unit rate is 100 dresses / 20 days = 5 dresses per day.
b) The unit rate of Kim's running speed can be found by dividing the distance by the time:
Kim runs 5 km in 30 minutes.
The unit rate is 5 km / 0.5 hour = 10 km/hour.
Therefore, the unit rate for Kate's sewing productivity is 5 dresses per day, and the unit rate for Kim's running speed is 10 km/hour.
muscle has a force of 100LBS and is pulling on a bone at an angle of 15 degrees. muscle B has a force of 150 lbs and is pulling on the same bone at the same spot but at an angle of 30. muscle c has a force of 75Ibs and is pulling at the same spot with an angle of 10. what is the resultant force of the muscles in the terms of the amount of force and direction? draw a diagram, label and show your work
Answers
Answer:
To solve this problem, we need to use vector addition. We can start by breaking down each force into its x and y components.
For muscle A:
Force = 100 lbs
Angle = 15 degrees
X-component = 100 * cos(15) = 96.93 lbs
Y-component = 100 * sin(15) = 25.04 lbs
For muscle B:
Force = 150 lbs
Angle = 30 degrees
X-component = 150 * cos(30) = 129.90 lbs
Y-component = 150 * sin(30) = 75.00 lbs
For muscle C:
Force = 75 lbs
Angle = 10 degrees
X-component = 75 * cos(10) = 73.83 lbs
Y-component = 75 * sin(10) = 13.03 lbs
Next, we can add up the x and y components separately:
X-component = 96.93 + 129.90 + 73.83 = 300.66 lbs
Y-component = 25.04 + 75.00 + 13.03 = 113.07 lbs
We can use these components to find the magnitude and direction of the resultant force:
Magnitude = sqrt(X^2 + Y^2) = sqrt((300.66)^2 + (113.07)^2) = 321.23 lbs
Direction = tan^-1(Y/X) = tan^-1(113.07/300.66) = 21.65 degrees (measured counterclockwise from the positive x-axis)
Therefore, the resultant force of the muscles is 321.23 lbs at an angle of 21.65 degrees. Here is a diagram to illustrate the vectors:
Step-by-step explanation:
25.04 lbs 73.83 lbs 129.90 lbs
/\ /\ /\
/ \ / \ / \
/ \ / \ / \
100 lbs 15° 75 lbs 10° 150 lbs 30°
\ / \ / \ /
\ / \ / \ /
\ / \ / \ /
96.93 lbs 13.03 lbs 75.00 lbs
Write 5y to the 3rd power without exponents
Answers
Answer:
5y*5y*5y
Step-by-step explanation:
uhh no explanation cuz logic
The 3rd power of the term 5y without exponents is 125.y.y.y
What is power of any number?If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times
The given term is 5y,
To find the third power of 5y,
The cube of 5y = (5y)³
To write the 3rd power without exponents,
Simplify the term (5y)³.
(5y)³ = 5y x 5y x 5y
= 125 y.y.y
The required 3rd power of 5y without exponents is 125.y.y.y.
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What is the distance between the points (7,5) (4,9)
Answers
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Solve the triangle. Round your answers to the nearest tenth.
A. m∠A=41, b=11, c=29
B. m∠A=41, b=13, c=25.9
C. m∠A=41, b=10, c=29
D. m∠A=41, b=13, c=29
Answers
Answer:
D
Step-by-step explanation:
use you law of sine
missing angle A = 41
21/sin41=x/sin24 = 13
21/sin41=x/sin115 = 29
The measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture
The measure of the angle A = 180 - (115+24)
Angle A = 41 degrees
Using sin law:
21/sin41 = AC/sin24
b = AC = 13 units
21/sin41 = AB/sin115
c = AB = 29
Thus, the measure of angle A is 41 degrees, the side lengths are 13, and the 29 units option (D) is correct.
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Two people are planning their wedding. For the reception, they found the the cost C for 50 guests, g is $2150 whereas the cost for 75 guests is $3025. Calculate the slope to find the cost per guest?
Answers
The slope which shows the cost per guest is $35 per guest
The given cost for 50 guests is $2150.
The cost for 75 guests is $3025.
It can also be represented as:
(Guest, Cost) =(50, $2150) & (75, $3025)
The slope can now be calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (50, $2150) & (75, $3025)
Substituting the given values in the equation as follows:
Slope = (3025 - 2150)/(75 - 50)
Slope = 35
Hence, the slope is $35 per guest.
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Select all that apply.
Which symbols could be used to make the following statement true?
-22 ___ 3
Answers
Simplify.
Remove all perfect squares from inside the square root.
✓112a^6
Answers
Answer:
\(4\sqrt{7}a^3\)
Step-by-step explanation:
\(\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3\)
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
answer this question in 5 minutes and ill give you the brainlyest and 50 points also please still answer even after the 5 minutes
Answers
The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.
Greatest common factorThis is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.
Gary's work:
66 + 36
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36
= 3 (22 + 12)
Gary did not use the greatest common factor in the equation.
The correct answer:
The greatest common factor of 66 and 36 is 666 + 36
= 6(11 + 6)
Therefore, Gary did not use the greatest common factor in the equation.
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A 3-gallon bucket of paint costs $111.12. What is the price per quart?
Answers
Answer:
9.26 per quart
Step-by-step explanation:
A 3-gallon bucket of paint costs $111.12.
Find the price of per quart.
3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:
111.12 / 12 = 9.26
what are the solutions to this system of equations 2x y 3 y 3 2 x 2 2
Answers
The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).
What formulae are used?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.
What is an equation example?The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.
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-1/5-(-3/8)=?
I need a step by step to solve this equation
Answers
Answer:
7/40
Step-by-step explanation:
Simplify the following:
-1/5 + 3/8
Hint: | Put the fractions in -1/5 + 3/8 over a common denominator.
Put -1/5 + 3/8 over the common denominator 40. -1/5 + 3/8 = (-8)/40 + (5×3)/40:
(-8)/40 + (5×3)/40
Hint: | Multiply 5 and 3 together.
5×3 = 15:
(-8)/40 + 15/40
Hint: | Subtract the fractions over a common denominator to a single fraction.
-8/40 + 15/40 = (-8 + 15)/40:
(-8 + 15)/40
Hint: | Subtract 8 from 15.
-8 + 15 = 7:
Answer: 7/40
42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)
Answers
Answer:
$68.97
Step-by-step explanation:
The equation you have to use is I=p(1.45)
If you have a 45% increase to 100, the original price was $68.97.
which of the following scheduling times is needed to obtain the material if it is extrenally produced
Answers
Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.
What is scheduling time?Time scheduling is a group of methods for creating and presenting schedules that indicate when work will be done. All of these methods' outcomes are typically displayed as activities or bars on a timeline known as a Gantt chart.
Here,
Obtaining the substance requires the following scheduling if it is externally manufactured.
So ,
When a material is purchased outside, the planned delivery time is the amount of time required to get the material.
Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.
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The complete question is "which of the following scheduling times is needed to obtain the material if it is externally produced or not ?
a.In-house production time.
b.Goods issue processing time.
c. Planned delivery time.
d. Goods receipt processing time."
Suppose that you borrow $16000 for 5 years at 8% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
Answers
The total interest on the loan and monthly payments are $64,000 and $ 1,333.3 respectively
The formula for calculating the simple interest is expressed as:
I = PRT
P is the amount borrowed = $16,000R is the rate = 8% = 0.08T is the time = 5 yearsGet the interest;
I = 16,000 * 0.8 * 5
I = $64000
Amount after 5 years = 16000 + 64000
Amount after 5 years = $80,000
Monthly payment = 80000/60months
Monthly payment = $1,333.33
Hence the total interest on the loan and monthly payment are $64,000 and $ 1,333.3 respectively
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Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
Answers
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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Which of the following rational functions is graphed below?
Answers
Answer:
option d
Step-by-step explanation:
option d because the vertical asymptotes are -3 and 2, so x cannot be 3 or -2
Can someone help me with this?
Answers
Answer:
A, B and D
Step-by-step explanation:
√5 x √5 x √4 is basically 5 x 5 x 4 = 100, but the 100 still has the root sign
The sqrt of 100 is 10, since 10 x 10 = 100
Like said on the first line, it makes √100 and this is valid since the question does not say to simplify it