Answer: Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are (AND, OR, NOT or AND NOT) .
Step-by-step explanation:
Question
A sphere has a radius of 3.6 centimeters. Find its a. volume and b. surface area. Use 3.14 for at. Round the answers to the
nearest hundredth.
Answer:
195.45 in
Step-by-step explanation:
Step one:
given
sphere has a radius of 3.6 centimeters.
Required:
the volume of a sphere
The formula for the volume is
V=4/3πr^3
Step two:
subsituting we have
V=4/3*3.142*3.6^3
v=4/3*3.124*46.65
v= 586.37/3
v=195.457 in
to the nearest hundreth 195.45 in
A first number plus twice a second number is 3. Twice the first number plus the second totals 21 . Find the numbers.
Answer:
x = 13
y = -5
Step-by-step explanation:
Let x = the first number
Let y = the second number
x + 2y = 3 2x + y = 21
You have two unknowns, so you need to equations to solve.
Solve the first equation for x:
x + 2y = 3
x = -2y + 3 Substitute this in for x in the second equation.
2x + y = 21
2(-2y + 3) + y = 21 Distribute the 2
-4y + 6 +y = 21 combine the y's
-3y = 15 Divide both sides by -3
y = -5
Plug -5 back in for either equation
x + 2y = 3
x + 2(-5) = 3
x -10 =3
x = 13
x+y=8
2x-y=16
3x+z=18
Answer:
x+y-8=0
Step-by-step explanation:
It makes the most sense
what is the scientific notation for the value of (15×10⁵)÷(5×10³)
A.3×10²
B. 3×10⁸
C. 20×10²
D. 75×10²
Answer:
it's A
(15 * 10 ^ 5) binom 5*10^ 3 ) =300
(15 * 10 ^ 5)/(5 * 10 ^ 3)
(10 ^ 5)/(10 ^ 3) = 10 ^ 2
= (15 * 10 ^ 2)/5
: 15/5 = 3
= 3 * 10 ^ 2 = 3 * 10 ^ 2
3 * 10 ^ 2 = 300
=300
Write the equation of the line in slope-intercept form that has a slope of -2 and passes through (3, 3)
Answer:
y = -2x + 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = -2
Point (3, 3)
Step 2: Find equation
Substitute in slope [Form]: y = -2x + bSubstitute in point: 3 = -2(3) + bMultiply: 3 = -6 + bIsolate b: 9 = bWrite equation: y = -2x + 9As part of a communit service project at your house score you’re organizing a fundraiser at the neighborhood movie theater money raised will benefit of summer camp for children with special needs the missions charge is $10 per person 550 of which is used to pay the movie theaters rental fee the reminder is donated to the summer camp fund is the maximum capacity of the movie theater is 500 people what is the maximum amount that can be donated right in equation that shows how much money will be donated and then solve
The maximum amount to donate to the summer camp fund is $2,250.
2. The equation that shows the maximum amount to donate is y = 4.5x.
What is an equation?An equation is a mathematical statement that two values are equal.
Using an equation, two mathematical expressions are stated to have equivalent values.
Equations are expressed using the equation symbol (=).
Data and Calculations:The expected number of theater goers = 500 persons
Admission charge per person = $10
Movie Theater's rental fee = $5.50
Ticket fee = $4.50 ($10 - $5.50)
Let y be the maximum amount to donate to the summer camp fund
Let x be = 500
y = (10 - 5.50)x
y = 4.5x
The required equation for the maximum amount to donate is y = 4.5x
y = 4.5 x 500
y = 2,250
Thus, the maximum amount to donate to the summer camp fund is $2,250.
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Complete Question:As part of a community service project at your house score, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.
What is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve it.
You can buy 3 apples at the Quick Market for $1.11. You can buy 5 of the
same apples at Stop and Save for $2.55. Which place is the better buy?
Paloma has a flower stand at a farmer’s market. On Tuesday, she sold 8 marigold flats and 10 daisy flats.
An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price.
Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.
The total money Paloma made = $117.25
In this question,
The price of Marigold(M) is $5.75.
The price of Daisy(D) is $6.25.
The price of Roses(R) is $2.50.
The price of Lilies(L) is $3.75
She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.
Let s be the total money Paloma made
so we get an expression,
S = 8M + 10D + 5(R/2) + 2(L/3)
Now substitute the respective value
S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)
S = 46 + 62.5 + 6.25 + 2.5
S = $117.25
Therefore, the total money Paloma made = $117.25
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Using the table of Motor Vehicle Deaths given below, find the Motor Vehicle Deaths per capita for Ohio
State MV Deaths Population
Indiana 693 6 million
Illinois 911 12.4 million
Ohio 1021 11.35 million
Michigan 871 9.9 million
Alaska 64 0.63 million
Based on the table of Motor Vehicle Deaths, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita
How to find the motor vehicle deaths per capita?When something is said to be per capita, it means that it is per person in the population.
The motor vehicle deaths per capita for Ohio can therefore be found by the formula:
= MV Deaths in Ohio / Ohio population
= 1,021 / 11.35 million
= 0.00009 deaths per capita
In conclusion, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita
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A 99% confidence interval for the population mean yields the following results: [−3.79, 5.86]. At the 1% significance level, what decision should be made regarding the following hypothesis test with LaTeX: H_0H 0: LaTeX: \mu=0μ = 0 versus LaTeX: H_1H 1: LaTeX: \mu\ne0μ ≠ 0?
Answer:
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
Step-by-step explanation:
From the given information:
The null hypothesis and alternative hypothesis is given as:
[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]
And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]
The significance level ∝ = 1 - 0.99 = 0.01
We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.
Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01
∴
Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero
Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find the sides of the triangle.
Answer: The small side is 11, and the other two are 55, 55,
Step-by-step explanation:
So the perimeter adds up to 121 inches.
we know that two of the sides are 5x the 3rd side while being congruent.
11 times 5=55. 55 times 2=110. 110+11=121
Answer:
The third side is 11 inches
the 2 equal sides are 55 inches each side.
Step-by-step explanation:
X + 2(5x) = 121
x + 10x = 121
11x = 121
x = 121/11
x = 11
The question is in the image.
Answer:
a) aₙ = 6(n - 1), a₂₄ = 138b) aₙ = 2n + 1, a₂₄ = 49===============================
Sequence a)Ignoring the hexagon in the middle, we'll count the number of squares:
0, 6, 12, ...This is an AP with the first term of a₁ = 0 and common difference of d = 6.
Explicit formula for an AP is:
aₙ = a₁ + (n - 1)dSubstitute the first term a₁ and common difference d into equation:
aₙ = 0 + (n - 1)*6aₙ = 6(n - 1)The 24th term is:
a₂₄ = 6(24 - 1) = 6(23) = 138Sequence b)Count the number of circles:
3, 5, 7, ...This is an AP with the first term of a₁ = 3 and common difference of d = 2.
The explicit formula for this AP is:
aₙ = 3 + (n - 1)*2aₙ = 3 + 2n - 2aₙ = 2n + 1The 24th term is:
a₂₄ = 2*24 + 1 = 49HEY YOU!! PLEASE I NEED HELPPP
find angle BAC and angle FAB
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Need this ASAP thanks
Answer:
A. Substitution
Step-by-step explanation:
You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are
1. The price of a TV is $295. The price of a
projector is 4 times as much as the price of a
TV. What is the price of the projector?
Answer:
The price of the projector is $1,180.
Step-by-step explanation:
295 × 4 = 1,180
Select all the equations that have the same solution as 2x - 5 = 15
Answer:
3x = 15 x=5
1x -10=15 x=25
2x-25= 15 x=20
2x+11=15 x=2
-2x+25=15 x= -5
and so on
A computer has the shape of a rectangular solid. Find the volume of the computer, with
dimensions of 5 inches by 5 inches by 5.1 inches.
Answer:
V = 127.5in^3
Step-by-step explanation:
The volume of a rectangular prism is:
Volume = length x width x height
Therefore, in this equation it would look like this:
Volume = (5) x (5) x (5.1)
Volume = 127.5in^3
The volume of the computer is 127.5in^3.
I hope this helps!!
- Kay :)
Brandon buys a radio for $48.17 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
49.0809
Step-by-step explanation:
Round it up to 49.10
The average selling price is $0.60 per unit, the average variable cost is $0.36 per unit, and the total fixed costs are $1,500. If operating profits of $900 are desired, a sales volume of 2,500 units is necessary. True False
The statement is False.
Given that the SP is $0.60 per unit and the CP is $0.36 per unit.
So, profit per unit = $(0.60-0.36)
= $ 0.24
So, now we have to check whether 2500 units sales is required if we want a profit of $900.
To check we have to multiply the profit per unit with the sales,
⇒ 0.24 × 2500
⇒ $ 600
We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]
= 3750 units
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all of the following fractions are equal to 1/2 except?
9/18
20/40
4/6
5/10
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
Which system of equations can be used to find b, the number of black-and-white copies, and
c, the number of color copies that the customer paid for at the print shop?
The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = 6
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total amount paid = $6.00
Total copies = 68
Cost of black-and-white copy = $0.08
Cost of color copy = $0.15
Now, Let number of black-and-white copies = b
And, Number of color copies = c
Hence, The equation become;
b + c = 68
0.08b + 0.15c = 6
Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,
⇒ b + c = 68
⇒ 0.08b + 0.15c = $6
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6/15 plus 3/10 plus 3/5
Answer:
1.3
Step-by-step explanation:
A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.
Answer:
y = -3/4 + 9
Step-by-step explanation:
y=mx+b
3 = -3/4(8) + b
3 = -6 + b
9 = b
y = -3/4 + 9
The graph of function f has two vertical asymptotes and a horizontal asymptote at y = 2. Which function could be function f?
Answer:
It's f(x)=2x^2/x^2+2x-3.
Step-by-step explanation:
The function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have functions shown in the options:
After drawing the functions on the coordinate plane we will see,
[tex]\rm f(x) = \dfrac{2x^{2}}{x^{2}+2x-3}[/tex]
x = -3 and x = 1
Horizontal asymptote: y = 2
Thus, the function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.
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Which inequality is the solution to 2(6−4x)>18−2x?
x -1
x > -3
Answer:
x < - 1Step-by-step explanation:
[tex]2(6−4x)>18−2x[/tex]
Multiply the terms in the bracket
[tex]12 - 8x > 18 - 2x[/tex]
Move 12 to the other side of the inequality
[tex] - 8x > 18 - 12 - 2x \\ - 8x > 6 - 2x[/tex]
Move - 2x to the other side of the inequality
[tex] - 8x + 2x > 6 \\ - 6x > 6[/tex]
Divide both sides by - 6
[tex] \frac{ - 6x}{ - 6} > - \frac{6}{6} \\ x > - 1[/tex]
Reverse the sign
We have the final answer as
x < - 1Hope this helps you
Answer:
What the other dude said
Step-by-step explanation:
bruh
At what point did they give up and decide that the numbers to the right of the decimals would never repeat and never stop?
A sofa is on sale for $833, which is 15% less than the regular price.
What is the regular price?
whay is the slope of a perpendicular to the line whose equation is 3x+y=-6
Answer:
1/3
Step-by-step explanation:
3x + y = -6
y = -3x - 6
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -3 is 1/3
[tex] \large{ \boxed{ \tt{Answer : - 3}}}[/tex]
Please see the attached picture for full solution!
-------- HappY LearninG <3 --------
Please help I’ve tried and can not figure it out
let the probability of Aron going on Saturday be A
A
= {Aaron goes to the gym on Monday},
and the probability of him going on a Sunday be B
B
= {Aaron goes to the gym on Sunday}.
In your post, we have the following pieces of information:
P(A)=0.8
P(A)=0.8
,
P(B∣A)=0.3
P(B∣A)=0.3
,
P(B∣ A)=0.9
P(B∣A¯)=0.9
.
What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event
(A∩ B¯ )∪( A¯ ∩B)
(A∩B¯)∪(A¯∩B)
. [(A∩ B¯)(A∩B¯)
: if he goes on Saturday he won't go on Sunday
A¯∩B
A¯∩B
: if he did not go on Saturday, he will go on Sunday].
We have:
P
((A ∩ B)∪(A ∩B))
=
P(A∩ B )+
P(A∩B)
=
P( B ∣A)
P(A)+
P(B∣ A)
P( A)
=
(1−P(B∣A))
P(A)
+
P(B∣ A)
(1−P(A))
=(1−0.3)×0.8+0.9×0.2
The prob of Aaron going to the gym on exactly one of the two days is =0.74.
P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation: