Answer:
27 revolutions
Step-by-step explanation:
Things to remember :
One revolution = distance of circumference coveredcircumference = 2πrdiameter = 2 x radiusSolving
One revolution = 2 x π x d/2 = πdOne revolution = 3.14 x 8.5One revolution = 26.69 inchesNo. of revolutions = Distance / one revolutionNo. of revolutions = 60 x 12 / 26.69No. of revolutions = 720 / 26.69No. of revolutions = 27 revolutionsthirteen less than the total of a number and eight. write as an expression
A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number can be repeated. You can choose from among four letters, A, B, C, and D, and two numbers, 5 and 6.
The size of the sample space is
If a code is chosen at random, the probability that it has a letter that immediately follows an odd number is
If a code is chosen at random, the probability that D is in the code but is not in the first position is
Answer:
B56 or D65 or B65 or D56
Step-by-step explanation:
a. 36, 26letters + 10 numbers
b. 1/2
c. 1/4
The size of the sample space is 8.
The probability that it has a letter that immediately follows an odd number is 1/2.
There is no probability that D is in the code but not in the first position.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The size of the sample space is the number of ways to choose one letter and two numbers, without repetition.
We can choose the letter in 4 ways, the first number in 2 ways, and the second number in 1 way (since we can't repeat a number), giving a total of 4 x 2 x 1 = 8 possible codes.
Let's list all the possible codes: 5A6, 5B6, 5C6, 5D6, 56A, 56B, 56C, 56D
The probability that a code has a letter that immediately follows an odd number:
We need to count the number of codes that have a letter following an odd number.
From the list above, we see that the codes 5B6, 5D6, 56B, and 56D have a letter following an odd number.
Therefore, there are four favorable outcomes out of eight possible outcomes.
So the probability is 4/8 = 1/2.
The Probability that D is in the code but not in the first position:
D can be in the second or third position.
If D is in the second position, there are 3 ways to choose the first digit (since we can't use D, and we can't repeat the first digit), and 1 way to choose the third digit, giving a total of 3 * 1 = 3 codes.
If D is in the third position, there are 3 ways to choose the first digit and 2 ways to choose the second digit (since we can't repeat any digit), giving a total of 3 x 2 = 6 codes.
So there are 3 + 6 = 9 favorable outcomes out of 8 possible outcomes (since there are 8 possible codes in total).
Therefore, the probability is 9/8, which is greater than 1.
This is not possible, so the answer is that there is no probability that D is in the code but not in the first position.
Thus,
The size of the sample space is 8.
The probability that it has a letter that immediately follows an odd number is 1/2.
There is no probability that D is in the code but not in the first position.
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What is the length of the missing leg? If necessary, round to the nearest tenth
Answer: 48 yards
Step-by-step explanation:
Answer: 48 yd
Step-by-step explanation:
when trying to find one leg of a triangle given the other two, a^2 +b^2 = c^2 is applicable. A representing the first leg, B representing the second, and C representing the hypotenouse (a and b are interchangeable). So,
formula: a^2 + b^2 = c^2
insert given: 20^2 + b^2 = 52^2
exponents: 400 + b^2 = 2704
subtract: b^2 = 2704 - 400
simplify: b^2 = 2304
square root of both sides: b = [tex]\sqrt{2304}[/tex]
answer: b = 48
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
1. 36
2. 40
3. 76
4. 104
Answer:
2
x=40
Step-by-step explanation:
A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)
180=104 +36+x
180=140+x
180-140=x
40=×
Which equation is y = (x 3)2 (x 4)2 rewritten in vertex form?
The vertex form of the provided equation y = (x 3)2 (x 4)2 is expressed as (x+3.5)²+0.5.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
y=a(x-h)^2+k
Here, (h, k) is the vertex point.
The given equation is
[tex]y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25[/tex]
To convert this equation, into the vertex form, follow the following steps,
[tex]y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5[/tex]
Thus, the vertex form of the provided equation y = (x 3)2 (x 4)2 is expressed as (x+3.5)²+0.5.
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Which lines best approximate the directrices of the ellipse? Round to the nearest tenth.
x = −4.6 and x = 4.6
x = −3.5 and x = 3.5
y = −4.6 and y = 4.6
y = −3.5 and y = 3.5
Answer is C
Edge 2022
C aka y = -4.6 and y = 4.6
Step-by-step explanation:
i just took the unit review test on edg. :)
Answer:
The Answer is c have a good day...
Step-by-step explanation:
The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.
Equations
Answer:
x=110lbs and y=120lbs
Step-by-step explanation:
[tex]Solution,\\\\x+y=230lbs\\\\[/tex]
When the weight of x is 10lbs less than y,
Then,
[tex]x=y-10lbs[/tex]
Now we have,
[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]
Again,
As x=y-10lbs
Then,
[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]
A cone has a base area of 20 square inches and a height of 27
inches. A cylinder has a base area of 20 square inches and a height
of 27 inches. What can we say about the volumes of the shapes
when we compare them?
E E E E E E E E E E E E E E EE E E E E E E E E E E E E E E E E E E
Explain to The Answer to Please
Answer:
X cord: 1
Y cord: -2
Step-by-step explanation:
X cord is left to right and is one point right.
Y Cord is up and down and is 2 down. the - implies negative because the point is down.
(If you need help with this or other problems Here is a good website to help, https://www.splashlearn.com/math-vocabulary/geometry/coordinate-plane)
Pls help simple math
Answer:
[tex]y = \frac{-2}{3}[/tex]
Step-by-step explanation:
[tex]f(x)=-1[/tex], means thsat you replace all the x with -1. Then after you replace it you simplify the fraction.
[tex]f(x)=-1[/tex]
Equation: [tex]f(x) = \frac{x-1}{3}[/tex]
Steps:
1. [tex]f(-1)= \frac{(-1)-1}{3}[/tex]
2. [tex]f(-1)= \frac{-2}{3}[/tex]
Answer:
[tex]f(-1)= \frac{-2}{3}[/tex]
Answer:y=-2/3
Step-by-step explanation:
3. Which value is not needed to construct a box plot?
A. upper quartile B. minimum value
C. median
D. mean
calculate the shaded area
Answer:
6.75[tex]\pi[/tex] or 21.2
Step-by-step explanation:
Find the area of the small circle using [tex]\pi r^{2}[/tex]
Plug in 1.5 for r to get 2.25[tex]\pi[/tex]
Find the area of the big circle using [tex]\pi r^{2}[/tex]
Plug in 3 for r to get 9[tex]\pi[/tex]
Subtract the area of the small circle from the big circle to get 6.75[tex]\pi[/tex] or 21.2
I don’t know how to do this question
If the diameter of the small can is 4 cm and its height 6 cm, find its total surface area, in cm².
Answer:
100.53cm2 if I'm not mistaken. or 32π cm2
Evalueate the measure x in the figure.
Answer:
82 degrees
Step-by-step explanation:
180-98 = 82
They are supplementary and make 180 in total so x is 82
Hello find the limit stated below
[tex]\\ \rm\Rrightarrow {\displaystyle{\lim_{x\to 0}}}\dfrac{sin^3x+3cosx-cot^2x}{tan^3x+7sinx+3sec^2x}-e^{3x}[/tex]
Note:-
Make sure to include proper explanation and all steps
Answer:
[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x} = \boxed{- \infty}[/tex]
General Formulas and Concepts:
Calculus
Limits
Graphical LimitsRight-Side Limit:
[tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]
Left-Side Limit:
[tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Discontinuities
Removable (Hole)JumpInfinite (Asymptote)Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x}[/tex]
Step 2: Find Limit
Let's start out by directly substituting x = 0 into our limit.
[Limit] Apply Limit Rule [Variable Direct Substitution]:We can see that the cotangent of 0 is undefined. Since we do not have an indeterminate form, we cannot use L'Hopital's Rule. Let's look at the function graphically (refer to the attachment).
Approaching the left limit, we can see that the graph heads towards negative infinity.
Approaching the right limit, we can see that the graph also heads towards negative infinity.
∴ we can say that the limit as x approaches 0 is equal to negative infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
It's plain to see that [tex]e^{3x}\to1[/tex] as [tex]x\to0[/tex], so I'll focus on the trigonometric expression.
Multiply uniformly through the expression by [tex]\sin^2(x)\cos^3(x)[/tex] :
[tex]\dfrac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)}[/tex]
[tex]= \dfrac{\cos^3(x) \left(\sin^5(x) + 3\cos(x)\sin^2(x) - \cos^2(x)\right)}{\sin^2(x) \left(\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x)\right)}[/tex]
Now as [tex]x\to0[/tex],
• [tex]\cos^3(x)\to1[/tex]
• [tex]\sin^5(x)+3\cos(x)\sin^2(x)-\cos^2(x)\to-1[/tex]
• [tex]\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x) \to 3[/tex]
but [tex]\sin^2(x)\to0[/tex], so [tex]x = 0[/tex] a non-removable discontinuity. Then from either side of [tex]x = 0[/tex], [tex]\frac1{\sin^2(x)}\to+\infty[/tex], and taking into account the sign from the second point above, the overall limit would be
[tex]\displaystyle \lim_{x\to0} \frac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)} - e^{3x} = -\infty-1 = \boxed{-\infty}[/tex]
An ice cream factory makes 220 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
( I will mark brainliest, please answer+explain!)
Answer:
For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.
Step-by-step explanation:
If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.
Neptune is about how many times as far from the Sun as Mars is from
the Sun?
Neptune - 2,800,000,000
Mars= 142,000,000
Solution:
Answer:
Neptune is 4.495 billion far from the sun and mars is 227.9 million km
the anwer is 4.2671 i guess
A cereal box in the shape of a rectangular prism has a volume of 18x^3 - 3x^2 - 6x. What are three possible linear expressions for the dimensions of the cereal box?
From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
FactoringIn math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
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Any whole number that can be represented in base 10 can also be represented in base 2, although it may take ____ digits.
Answer:
More
Step-by-step explanation:
Any whole number that can be represented in base 10 can also be represented in base 2, although it may take more digits.
e Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
What was the hourly fee for the rototiller?
Answer:
1) h=(64-43)
-----------
7
Make sure to add brackets
2)Answer is $3 per hour
Step-by-step explanation:
For 2)
h = (64-43)----------
7
h = 21-----
7
h = 3Hope it helps
BYE
i will give 70 -0ints
Answer:
See below ~
Step-by-step explanation:
(a) Mean of the data
2.4 + 1.6 + 3.2 + 0.3 + 1.5 / 59/51.8(b) New mean after each data point increased by 10
12.4 + 11.6 + 13.2 + 10.3 + 11.5 / 559/511.8(c) New mean after each data point doubled [from (b)]
24.8 + 23.2 + 26.4 + 20.6 + 23 / 5118/523.6Answer:
a) 1.8
b) 11.8
c) 23.6
mean: sum of numbers/total numbers
Part A⇒ mean: (2.4+1.6+3.2+0.3+1.6)/5 ⇒ 9/5 ⇒ 1.8
Part BIf all the data's are increased by 10
{12.4, 11.6, 13.2, 10.3, 11.5}
Then mean ⇒ (12.4+11.6+13.2+10.3+11.5)/5 ⇒ 11.8
Part Cif the new data doubled, the mean will be double
11.8 * 2 = 23.6
Select all the expressions that have a value of 22 – 33 + 29. help a girl out! <3
Answer:
2. 8³ - 14 × 6² - 2
4. |-6|
5. 7² - 3.1 - 19 × 2.1
Step-by-step explanation:
To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.
2² - 3³ + 29
4 - 27 + 29 = 6
6 is the value were looking for.
1. (78 ÷ 3) - [tex]2^{4}[/tex]
(78 ÷ 3) - 16
26 - 16
= 10
not equal
2. 8³ - 14 × 6² - 2
512 - 14 × 36 - 2
512 - 504 - 2
= 6
equal
3. -|-6|
= -6
not equal
4. |-6|
= 6
equal
5. 7² - 3.1 - 19 · 2.1
49 - 3.1 - 19 · 2.1
49 - 3.1 - 39.9
45.9 - 39.9
= 6
equal
Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.
hope this helps!
I’m game shows 30% is taken from your prize earnings. How much would a game show give you in order to equal 1 hundred thousand, after taxes?
I already have the equation worked out-
100,000= Y- (30%xY)
You gotta find Y
Answer:
$142,857.14
Step-by-step explanation:
As per the question,
Y = prize money$100,000 is the money you get30% is deducted from YSolving for Y
Convert 30% to decimal formDivide 30% by 100%30%/100% = 0.3Now, solve the equation.100,000 = Y - 0.3Y100,000 = 0.7Y100,000 = 7Y/10Y = 1,000,000/7Y = $142,857.14What is the explanation and answer to
6x-4(x-3)
What is the probability that a randomly selected person who tested positive for the flu is vaccinated? startfraction 465 over 2,321 endfraction startfraction 465 over 1,236 endfraction startfraction 465 over 950 endfraction startfraction 465 over 485 endfraction
Answer:
49%
Step-by-step explanation:
465 + 485 = 950
465/950 = .489
.489 * 100 = 48.9, round up for 49 to get 49%, since it's only focused on people who tested positive, you would only have to compare the people in that column
Answer: b
Step-by-step explanation:
3. 03 MC
Stella and Jonathan have been paying their 30-year mortgage since they bought their home two years ago. This year, they want to go on
vacation and are considering skipping two payments to pay for their vacation instead. What could be a future consequence of this behavior
A decreased credit risk
A lower credit score
OD
Lower interest rates
Oo
A credit boost
Answer: a lower credit score
Step-by-step explanation:
Answer:
Step-by-step explanation:
lower crdit score
An airline tracks how many bags its passengers bring with them. The 7 most recent passengers brought the following numbers of bags:
4 bags ,2 bags ,3 bags ,1 bag ,3 bags ,4 bags ,3 bags
What was the mode of the numbers of bags?
Answer:
the mode is 3
Step-by-step explanation:
mode is the number that accurse the most
Answer:
mode is 3
Step-by-step explanation:
Answer above is correct.
how do you say if a number is greater than 0 it equals one but if it's less than 0 it the actual number
Answer:
If n > 0, then n= 1
If n < 0, then n=n
If you could word this a bit differently, I might be able to help more, but this is what I'm getting from it. The way you worded it is a bit confusing.
You and your friends go to the diner and order burgers and drinks. Each burger costs $8.00 and one soda costs $2.50. Combined, you and your friends order twice as many burgers as you do sodas, s.
a. Write an algebraic expression that represents the number of hotdogs you and your friends want to buy.
b. Combined, you and your friends can spend no more than a $100 gift card. Write an inequality that represents the number of burgers and sodas you and your friends can buy.
C. Solve your inequality from part b. and state the maximum number of sodas that can be purchased.
The answers to your questions are as we have them below:
a. s ( 2 burgers + 1soda )
b. s ( $16.00 + $2.50) ≤ $100
c. The maximum number of sodas that can be purchased is 5.40 sodas
Algbraic expressionAn algebraic expression is an expression containing integer constants, variables and algebraic operations
Detailed solution of the above is given below:
One Burger costs $8.00
One soda costs $2.50
Combined = s (2burgers + 1soda)
where s is the number of persons ordering.
a. s ( 2 * $8.00 + $2.50 )
s ( $16.00 + $2.50) = s($18.50) assuming that the hotdogs will be the total amount to be spent
b. if the cant spend more than a $100 gift card, the inequality will be
s ( $16.00 + $2.50) ≤ $100
s($18.50) ≤ $100
s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
Therefore the number of burgers and soda they can buy is
5.40 (2burgers + 1soda) = 10.80 burgers and 5.40sodas
c. s ( $16.00 + $2.50) ≤ $100
s($18.50) ≤ $100
s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
The maximum number of sodas that can be purchased is 5.40 sodas
In conclusion, the algebraic expression for the orders you and your friends will make combined is: s ( 2 burgers + 1soda )
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