a circle has a radius 6 in in a central age of 60 what is the measure of the arc length is associated with this angle a 2pie b pie c 6pie d 3 pie
Formula for arc length when the angle is in degrees:
[tex]\text{Arc length = }\frac{\theta}{360}\times2\pi r[/tex]r = radius = 6 in
θ= 60 degrees
[tex]\begin{gathered} \text{Arc length = }\frac{60}{360}\times2\times\pi\times6 \\ \text{arc length = }2\pi\text{ in ches (option A)} \end{gathered}[/tex]Zan took her dog, Simba, to the dog park on Saturday afternoon. There were more than 20 dogs running around the park when they arrived. Determine which inequality describes the dogs at the park. d < 20 d > 20 d ≥ 20 d ≤ 20
Answer:
Number 2 is the answer to this question.
The inequality to represent the given scenario is d>20. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, there were more than 20 dogs running around the park when they arrived.
Let the number of dogs be d.
So, the inequality is d>20
Therefore, option B is the correct answer.
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i don't know how to setup the equation and neither getting the answer, please help, i only need question 4 btw
The sum of exterior angles of a regular polygon is 360 degree.
Determine the measure of last exterior angle of a regular pentagon.
[tex]\begin{gathered} 52+87+90+43+x=360 \\ x=360-272 \\ =88 \end{gathered}[/tex]So measure of last angle of a regular pentagon is 88 degree.
POSSIBLE PC14. A bag contains:5 red marbles6 blue marbles3 green marbles4 black marbles2 yellow marblesA marble will be drawn from the bag and replaced 100 times.What is a reasonable prediction for the number of times agreen or black marble will be drawn?P (green or black)P=/100P=(write the whole ratio)P(green and red) without replacement
Solution
We have
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
For a total of 5+6+3+4+2 = 20 marbles
And we want to find the following probability:
p(green or black) = P(green) + P(black) - P(green and black) = 3/20 + 4/20 - 0/20 = 7/20
Equivalent to : 7/20 * 5/5 = 35/100
p(green and red) without replacement = 0/100
What is the value of 6x² - 4 when x = 5?
146
Step-by-step explanation:= 6x^2 - 4
= x = 5
= 6 x 5^2 - 4
= 5^2 = 25
= 6 x 25 - 4
= 150 - 4
= 146
Answer:
[tex]\underline{146}[/tex]Step-by-step explanation:
Plug in the value of x into the expression [tex]6x^2-4[/tex].
- You will obtain this: [tex]6(5)^2-4[/tex].
Then all you need to do is use the correct Order of operations to evaluate.
- For example, you need to square 5 first: [tex]6\cdot25-4[/tex].
Then, you need to multiply: [tex]150-4[/tex].
Then, you should subtract: [tex]146[/tex]
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- RosaliaHELP ASPP PLEASE SHOW UR WORK
Answer: 7
Step-by-step explanation:
1) Set up an equation. Let x be the number of hours he works.
[tex]400\leq 64x[/tex]
2) Solve the equation
(<= mean less or equal to)
400/64 <= x
6.25 <= x
3) Solve the problem
We need to round up 6.25 as 6.25 is not on the list. Since the number has to be greater than 6.25, the next option is 7.
What is the value of the number in the tenths place?6.748O A. 0.7B. 0.04C. 0.07D. 0.6
Answer:
Choice A. 0.7
Explanation:
The place value of the numbers is given below
T
For what value of t does t / 4 / 16 = 1/16?
Answer: t = 4
Isolating a variable: rearranging an equation so that the variable is on its own
A value of t that satisfies the equation must be foundA variable can be isolated by performing opposite operationsCalculations:
[tex]\frac{\frac{t}{4} }{16} = \frac{1}{16}[/tex]
[tex]\frac{t}{4}= 16/16[/tex] - calculated by multiplying 1/16 by 16
[tex]t= 16/16[/tex] × [tex]4[/tex]
[tex]t= \frac{64}{16}[/tex]
[tex]t=4[/tex] - simplified answer
sixty and four hundredths in decimal form
60 + 0.04 = 60.04
The answer is 60.04
A = {2, 3, 4, 5, 6, 7}
B = {2, 4, 7, 8)
C = {2,4}.
Which of the following mathematical statements is true?
The mathematical statement is as follows:
(a) B ⊄ A
(b) C ⊂ A
(c) B ⊄ C
(d) ∅ ⊂ B
(e) C ⊂ C
(f) C ⊂ B
What is meant by sets?A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is a mathematical model for a collection of various things.
The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) and C = {2, 4}.
The mathematical statement is as follows:
(a) B ⊄ A
(b) C ⊂ A
(c) B ⊄ C
(d) ∅ ⊂ B
(e) C ⊂ C
(f) C ⊂ B
belongs to ⊂ sign is used if an element belongs to the given set and vice versa.
The complete question is:
Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.
(a) B __ A
(b) C __ A
(c) B __ C
(d) ∅ __ B
(e) C __ C
(f) C __ B
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A circle in the xy-plane has a center at G 3 1 42 3 and a radius that is units long. Which of the 15 following is an equation of the circle?
We are asked to find the equation of a circle on the xy-plane, with center (3/4 , 1/2) and a radius of 3/5 units. For doing so, we remember the general equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h,k) represents the center of the circunference, and r its radius.
In our example, we obtain that,
[tex]\text{Center}=(\frac{3}{4},\frac{1}{2})[/tex]And so,
[tex]\begin{gathered} h=\frac{3}{4},k=\frac{1}{2} \\ r=\frac{3}{5} \end{gathered}[/tex]Applying the above formula, we get that the equation of the circle will be:
[tex](x-\frac{3}{4})^2+(y-\frac{1}{2})^2=(\frac{3}{5})^2[/tex]This is:
[tex]\mleft(x-\frac{3}{4}\mright)^2+\mleft(y-\frac{1}{2}\mright)^2=\frac{9}{25}[/tex]
Solve the following formula for t.
Q=M + Mrt
t= (Simplify your answer.)
Mathematical objects other than numbers can be used in operations. Here, t can be expressed as [tex]\frac{Q-M}{r}[/tex].
What are mathematical operations?Binary and unary operations are the two most popular forms of operations. Trigonometric functions and negation are examples of unary operations that use only one value. Contrarily, binary operations, which include addition, subtraction, multiplication, division, and exponentiation, only accept two values.
Mathematical objects other than numbers can be used in operations. Logic operations like and, or, and not can be used to combine the logical values true and false. It is possible to add and subtract vectors. Utilizing the function composition operation, it is possible to combine rotations by first performing the first rotation and then the second. The binary operations union and intersection as well as the unary operation of complementation are operations on sets. Composition and convolution are two operations on functions.
Solving for t,
Q = M + Mrt
t = [tex]\frac{Q-M}{r}[/tex]
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Consider the function given by the graph. What are
these values?
f(-2)=
f(0) =
f(4) =
The values of the function given by the graph are:
f(-2 ) = 2
f(0) = 3
f(4) = -1
The graph depicts an inequality equation with discontinuities. Points of discontinuity are breaks in the graph caused by an undefined point when the f(x) function is substituted with an x point that is not part of the solution. Looking at the graph of the provided function f(x), we can clearly see that the function f(x) increases in the interval (-∞ ,0] and subsequently decreases in the interval (0,∞).Furthermore, the function terminates at x=0.
(Because there is a gap in the graph and the function's left and right-hand limits are not equal at x=0)
So from the graph, we can determine the values of the functions as,
f(-2 ) =2
f(0) = 3
f(4) = -1
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Answer:
f(–2 ) = 2
f(0) = 3
f(4) = -1
Step-by-step explanation: i hope this helps :)
3. Jamie's grade has increased 42 points over the last 6 weeks because he
has turned in homework and done a few retakes. If his grade increased the
same amount each week, what integer represents his change in grade?
Answer:
7
Step-by-step explanation:
(x = increase each week)
(6=weeks)
(42= total Grade Change)
Linear equation:
42=6x
Solved:
x=7
I'll give brainliest!
Answer:
The side length, s, of the square is 18
Step-by-step explanation:
The sides can be found by taking the square root of the area.
(Area)^1/2=s, where s = side.
(324)^1/2=18
Which expression is equivalent to the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power? three raised to the third power divided by five raised to the fourth power negative three raised to the third power divided by five raised to the fourth power five raised to the fourth power divided by three raised to the tenth power negative five raised to the fourth power divided by three raised to the tenth power
Answer:
(c) five raised to the fourth power divided by three raised to the tenth power
Step-by-step explanation:
You want the simplified version of the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power.
Rules of exponentsThe relevant rules of exponents are ...
(ab)^c = (a^c)(b^c)
a^-b = 1/a^b
(a^b)^c = a^(bc)
ApplicationThe given expression can be simplified as follows:
[tex](5^{-2}3^5)^{-2}=5^{(-2)(-2)}3^{(5)(-2)}=5^43^{-10}=\boxed{\dfrac{5^4}{3^{10}}}[/tex]
__
Additional comment
We find math expressions easier to understand when they are written using math notation, instead of words.
| Log Out Which function has a y-intercept that is equivalent to the y intercept of 3x - 4y = 16? A y = 4x + 1 B y = - 4x + 16 © y = 3x + 4 D y = 2x - 4
The slope-intercept form of a line is given by:
y = mx + b
where:
m = slope
b = y-intercept
From:
[tex]\begin{gathered} 3x-4y=16 \\ 4y=3x-16 \\ y=\frac{3}{4}x-4 \end{gathered}[/tex]Therefore, the y-intercept of this line is -4.
Hence, the correct option is:
[tex]y=2x-4[/tex]a committee on community relations in a college town plans to survey local businesses about the importance
The most appropriate choice for population and sample will be given by-
Second option is correct
44% is the percentage of non response
What is population and sample?
Population is the entire set of items from where the data is drawn for statistical study
A random selection of members of the population is known as sample.
Here
Number of business chosen at random = 50
Number of questionnaire returned by mail = 28
Number of non responses = 50 - 28
= 22
Since the committee plans to survey local businesses about the importance of students as customers, the population is all about local business.
Since the specific group from the population are 50 local businesses chosen by the committee, sample is the 50 to whom the questionnaire was sent
Percentage of non response = [tex]\frac{22}{50} \times 100[/tex]
= [tex]44[/tex] %
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Complete Question
A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From telephone book listings, the committee chooses 50 businesses at random. Of these, 28 return the questionnaire mailed by the committee.
Identify the population and the sample for this study.
a)The population is all students in the college town and the sample is the 50 local businesses to whom the questionnaire was sent.
b)The population is all local businesses and the sample is the 50 to whom the questionnaire was sent.
c) The population is the 28 businesses who responded to the questionnaire and the sample is all local businesses.
d)The population is the 50 local businesses to whom the questionnaire was sent and the sample is the 28 who responded.
What is the rate (percent) of nonresponse?
(Use decimal notation. Give your answer as an exact number.)
What is the range of this data set?{5, 12, 15, 11, 15, 7, 15, 10, 13}8101215
We are asked to find the range of the following data
{5, 12, 15, 11, 15, 7, 15, 10, 13}
First, we need to sort the data in ascending order (least to greatest)
{5, 7, 10, 11, 12, 13, 15, 15, 15}
The range is given by
[tex]Range=\max -\min [/tex]The maximum value in the data set is 15
The minimum value in the data set is 5
So, the range is
[tex]\begin{gathered} Range=\max -\min \\ Range=15-5 \\ Range=10 \end{gathered}[/tex]Therefore, the range of the given data set is 10
Find the volume of the cylinder. Either enter an exact answer in terms of or use 3.14 for 4 units 3 Stuck? Watch a video or use a hint.
the volume of a cilinder is:
[tex]V=\pi r^2h[/tex]So we can replace the radius and the high so:
[tex]\begin{gathered} V=\pi6^24 \\ V=36\cdot4\cdot\pi \\ V=144\pi \end{gathered}[/tex]Now we can replace pi by 3.14 so:
[tex]undefined[/tex]. G(x) is the function defined by the following graph. The graph window is: [-3,5,1] by [-60,80,10]
We are given a function and we are asked the following questions:
Part 1. Evaluate G(-1). The value of G(-1) is the value of the independent variable, that is the vertical axis when the dependent variable is -1, that is the horizontal axis. To find the value we draw a vertical line perpendicular to the horizontal at the value -1, until we intercept the graph, from there we draw a vertical line until we intercept the vertical axis. From the graph we see that:
[tex]G(-1)=20[/tex]Part 2. Evaluate G(2). This is the value of the independent variable when the dependent variable is 2. From the graph we see:
[tex]G(2)=-10[/tex]Part 3. Determine:
[tex]\frac{G(-1)^3-G(2)^2+4G(-1)}{10}[/tex]Replacing the known values:
[tex]\frac{(20)^3-(-10)^2+4(20)}{10}[/tex]Solving the operations:
[tex]\frac{8000-100+80}{10}=\frac{7980}{10}=798[/tex]I need help with this question for my computer class
SOLUTION:
Case: Spreadsheet calculations
Method:
Some common signs
'+' does sum
'-' does difference
'*' does the product
'/' does division
Hence
C7-B6 does the difference for cells C7 and B6
Final answer: Option (D)
C7-B6
A clerk spent his 35-hour workweek as follows: 1/5 of his time in sorting mail; 1/2 of his time in filing letters; and 1/7 of his time in reception work. The rest of his time was devoted to messenger work. The percentage of time spent on messenger work by the clerk during the week was most nearly:
A 6%
B 14%
C 10%
D 16%
So , the percentage of time spent on messenger work by the clerk during the week was most nearly is 16%.
How to find percentage?From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.
35 h * 1 / 5 = 7 h
35 h * 1 / 2 = 17.5 h
35 h * 1 / 7 = 5 h
7 h + 17.5 h + 5 h
= 29.5 h
The rest of his time = 35 - 29.5
= 5.5 h
5.5 / 35 = 0.15714
= 15 .714 %
Approx. 16 %
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Stella has 35 rocks in her rock collection. Each month she will add 15 rocks to the collection. Which equation can be used to find y, the total number of rocks in Stella's collection after x months? A) y = 35x + 15 B) y = 15x - 35 c) y = 35x - 15 D) y = 15x +35
Answer:
A
Step-by-step explanation:
y = 35 + 15x
A
:]
3(x + 2) = 3x + 2
Show your work
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Which of the following could be an algebraic expression for the total cost of dinner, less a $10 coupon, divided by 4 people?
(x − 10) ÷ 4
4x − 10
10 − 4x
4x(10)
Answer:
(x − 10) ÷ 4
Step-by-step explanation:
So, the equation is trying to figure out how much each person is paying. x = the whole dinner. Then, you take away $10 from the total cost. Then, with that discounted cost, you're dividing by 4 people to figure out how much each person is paying.
5. Graph the function f (x) = 3sin (2x) + 1 Be sure to identify the midline, period, and amplitude.Period= pi Amplitude= 3 Midline = -1 Need help with graphing
Answer:
[tex]\begin{gathered} \text{Amplitude}=3 \\ \text{Midline is at: }y=1 \\ \text{Period}=\pi \end{gathered}[/tex]we can now graph the function as;
Explanation:
Given the equation;
[tex]f(x)=3\sin (2x)+1[/tex]Firstly, to derive the period, Amphitude and midline, let us compare to the general form;
[tex]\begin{gathered} f(x)=A\sin (Bx+C)+D \\ A=\text{Amplitude} \\ D=\text{midline} \\ \text{ since C=0 for the given equation;} \\ \text{Period=}\frac{2\pi}{B} \end{gathered}[/tex]From the given equation;
[tex]\begin{gathered} A=3 \\ D=1 \\ B=2 \\ \therefore \\ \text{Amplitude}=3 \\ \text{Midline is at: }y=1 \\ \text{Period}=\frac{2\pi}{2} \\ \text{Period}=\pi \end{gathered}[/tex]With the above characteristics we can now graph the function as;
1. **Graph y = 12x + 3 2. ** y = -3x + 4 y 9 T 구 8 16 5 다 2 1 19 18 454 - 6 3-2 1 6 a x 대 - 2 1 2 6 B 9 x 1 0 2 3 10 . -6. R bo 를
Answer:
Graphing the points we have;
Above is the graph of the given equation showing the derived points.
Explanation:
Given the equation;
[tex]y=|2x|+3[/tex]To plot the graph we need to calculate the corresponding values of x and y at each point.
Let us calculate the values of y for x = -4,-2,0,2, and 4;
[tex]\begin{gathered} y=|2x|+3 \\ at\text{ x=-4;} \\ y=|2\times-4|+3 \\ y=8+3 \\ y=11 \\ (-4,11) \end{gathered}[/tex][tex]\begin{gathered} at\text{ x=-2} \\ y=|2\times-2|+3 \\ y=4+3 \\ y=7 \\ (-2,7) \end{gathered}[/tex][tex]\begin{gathered} at\text{ x=0;} \\ y=|2\times0|+3 \\ y=3 \\ (0,3) \end{gathered}[/tex][tex]\begin{gathered} at\text{ x=2;} \\ y=|2\times2|+3 \\ y=4+3 \\ y=7 \\ (2,7) \end{gathered}[/tex][tex]\begin{gathered} at\text{ x=4;} \\ y=|2\times4|+3 \\ y=8+3 \\ y=11 \\ (4,11) \end{gathered}[/tex]Therefore, Graphing the points we have;
Above is the graph of the given equation showing the derived points.
. BUILD PERSEVERANCE Factor the algebraic
expression 7.2x²y-0.9xy².
find value of p. help
If the two line segments are parallel to each other, we can establish the following proportion and reach the result.
[tex]\frac{3p}{3p+(2p-5)} =\frac{26}{26+14}[/tex][tex]120p=130p-130[/tex][tex]130=130p-120p[/tex][tex]130=10p[/tex][tex]13=p[/tex]Therefore, our answer is [tex]p=13[/tex].