Answer:
not me because its not my color
Choose the correct word to fill in the blank. In circle C below, FBE is a(n) _______.
central angle
inscribed angle
minor arc
major arc
The correct word to fill in the blank that describes FBE in the circle C given is defined as: D. major arc.
What is a Major Arc?In geometry, a major arc is an arc of a circle that spans more than 180 degrees or half of the circle's circumference. It is larger than a minor arc, which spans less than 180 degrees.
A major arc can also be defined as the complement of a minor arc with respect to the diameter of the circle.
Thus, arc FBE spans more than 180 degrees and it is more than half of the circle shown in the image, therefore, it is described as: D. major arc.
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
I please need help matching the angles. I cannot seem to get it right.
The angles and lines that match the angles and lines in the diagram consisting of two lines and their common transversal to the correct description are;
Alternate Interior Angles; 2. ∠4 and ∠8
Consecutive Exterior Angles; 5. ∠1 and ∠6
Alternate Exterior Angles; 3. ∠1 and ∠5
Transversal; line l
Consecutive Interior Angles; 4. ∠3 and ∠4
Corresponding Angles; 1. ∠1 and ∠7
What is a transversal line?A transversal is a line that intersects two or more other lines.
The description of the relationship between the angles in the question are;
Alternate Interior Angles
Alternate interior angles are a pair of angles formed when a transversal intersects two lines. They are located between the two lines on opposite side of the transversal.
Consecutive Exterior Angles
Consecutive Exterior Angles are a pair of angles formed when a transversal intersects two lines. They are located outside the two lines on the same side of the transversal
Alternate Exterior Angles
Alternate exterior angles are a pair of angles formed when a transversal intersects two lines. They are located outside the two lines on the opposite sides of the transversal.
Consecutive Interior Angles
Consecutive Interior Angles, also known as Same-Side Interior Angles are a pair of angles formed when a transversal intersects two parallel lines. They are located between the two parallel lines on the same side of the transversal.
Corresponding Angles
Corresponding angles are a pair of angles formed when a transversal intersects two lines. They are located on the same relative positions with respect to the transversal and the two lines.
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On a finance exam, 2 students received an A, 2 students received a B, and 14 students received a C. If a single student is picked at random, what is the probability that they received an A or C?
Answer:
\(\frac{8}{9}\)
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If a single student is picked at random, what is the probability that they received an A or C?
Desired outcomesStudent got an A or C
2 students received an A
14 students received a C
16 total outcomes
Total outcomes2 students received an A
2 students received a B
14 students received a C
18 total outcomes.
Therefore, the probability is 16/18 = 8/9.
Express the function graphed on the axes below as a piecewise function
The graph given can be expressed as piecewise function as,
f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
What is a Piecewise Function?A piecewise function is a function which has different definitions of values for different intervals.
Given is a graph of a function.
The graph consists of two lines.
In the interval [-6, -3), the graph is a line with positive slope.
In the interval (-3, 2), the graph is a line with negative slope.
Now we have to find the equation of two lines.
The positive line passes through (-6, -2) and (-5, 0).
Slope of the line = (0 - -2) / (-5 - -6) = 2 / 1 = 2
Slope intercept form of the line is y = mx + c, where m is slope and c is y intercept.
y = 2x + c
Substitute a point (-5, 0), in the equation.
0 = (2 × -5) + c ⇒ c = 10
Equation is y = 2x + 10
The negative line passes through (0, 1) and (1, 0).
Slope = (0 - 1) / (1 - 0) = -1
y intercept = 1, since the line passes touches the Y axis at the point (0, 1).
Equation of line is y = -x + 1
So the function is, f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
Hence the piecewise function is found.
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Answer:
y = 2x + 10 for -6 <= x < -3
y = -x + 1 for -3 < x < 2
Step-by-step explanation:
you won 1 million dollars in prize money, however they are not giving it to you all at once. so is your money trult the value of the prize
6. Rewrite y = √√4x+16 +5 to make it easy to graph using a translation. Describe the graph.
Answer:
~
Step-by-step explanation:
To make it easier to graph using a translation, we can rewrite the given equation as:
y - 5 = √√4x + 16
This is obtained by subtracting 5 from both sides of the equation.
The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.
In ΔWXY, w = 170 inches, x = 590 inches and y=630 inches. Find the measure of ∠Y to the nearest 10th of a degree.
Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.
To find the measure of angle ∠Y, we need to use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of its angles.
The formula for the law of cosines is:
\(c^2 = a^2 + b^2 - 2ab cos(C)\)
Where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite to side c.
In our case, we know the lengths of the sides w, x, and y, and we want to find the angle ∠Y, which is opposite to side y. So, we can use the formula as follows:
\(y^2 = w^2 + x^2 - 2wx cos(Y)\)
Substituting the values, we have:
\(630^2 = 170^2 + 590^2 - 2(170)(590) cos(Y)\)
Simplifying and solving for cos(Y):
\(cos(Y) = (170^2 + 590^2 - 630^2) / (2170590)\)
cos(Y) ≈ -0.236
Note that the cosine of an angle is negative if the angle is between 90 and 180 degrees, which is the case for angle ∠Y in this triangle. Therefore, we need to use the inverse cosine function to find the measure of angle ∠Y:
Y ≈ 103.2 degrees
Rounding to the nearest tenth of a degree, we get:
Y ≈ 103.2°
Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.
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Solve each quadratic equation. 1) n^2 + 12 =7n 2) n^2 = -6n +7
Answer:yhyeyeydyd
Step-by-step 63636 anshsjsnsj 663636 hhshhbsydhdudhdxhuxnsxhhxhsxh23
Simplify the expression by combining like
terms: Algebra 1
Answer:
The number in the green box should be 3.
Step-by-step explanation:
\(c + 4 {c}^{2} - 2 + 2c - {c}^{2} + 5 = 3 {c}^{2} + 3c + 3\)
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
V(o, 3)
O 3x - 4y = -17
(-3,2
O 3x - 4y = -20
4x + 3y = -2
4x + 3y = -6
The equation of the line that is parallel to the given line and passes through the point (-3, 2) is 3x - 4y = -17.
What is the formula for a parallel line equation?If the line's equation is axe + by + c = 0 and the coordinates are (x1, y1).
To find the equation of a line parallel to a given line, we must first understand that parallel lines have the same slope. As a result, we must first determine the slope of the given line.
3x - 4y = -17 is the given line. To determine its slope, solve for y and write the equation in slope-intercept form:
-3x - 4y = -3x - 17 y = (3/4)x + (17/4)
This line has a 3/4 slope.
Now we want to find the equation of a parallel line that passes through the point (-3, 2). Because the new line is parallel to the given line, it has a slope of 3/4.
We can write the equation of the new line using the point-slope form of the equation of a line as:
y - y1 = m(x - x1)
where m represents the slope and (x1, y1) represents the given point (-3, 2).
When m = 3/4, x1 = -3, and y1 = 2, we get:
y - 2 = (3/4)(x - (-3))
y - 2 = (3/4)(x + 3)
Divide both sides by 4 to get rid of the fraction.
4y - 8 = 3x + 9
3x - 4y = -17
As a result, the equation of the parallel line that passes through the point (-3, 2) is 3x - 4y = -17.
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Is it a nonlinear or a linear
Answer: linear
Step-by-step explanation:
-Hope this helps :D
order these from least to greatest: 38%, 8/25, 0.41
Answer:
8/25 , 38%, 0.41
Step-by-step explanation:
This should be the correct answer. Hope this helps!
Determine if the set is a Pythagorean triple
Answer:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
In a survey of a community, 58% like to listen to the radio only and 18% like to watch the T.V. only. If the number of people who like to listen to the radio is thrice the number of people who like to watch the T.V., then,
(i) Find percentage of people who donot like both of them.
ii Represent the above information in venn diagram.
The percentage of those that did not like both of them is 76%
Venn diagrams and set notationLet the total number of people in the community be 100%
n(u) = 100
If 58% like to listen to the radio only and 18% like to watch the T.V. only, then;
n(R) = 58 - x
n(T) = 118 - x
where x is the percentage of people who do not like both of them. Taking the sum;
58 + x + 18 = 100
x + 76 = 100
x = 100 - 76
x = 24
Hence 24% of people like both of them.
The percentage of those that did not like both of them is 76%
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Find the product of ¾ and 1⅓ a)0 (b)1 (c)12 (d)1⁵/7
The value of the product of the number as given in the task content is; Choice B; 1.
What is the value big the product of the values; ¾ and 1⅓?It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.
To effectively multiply, we must convert the mixed number to a fraction as follows;
1⅓ = 4/3.
Hence, the product is; 4/3 × 3/4 = 12/12 = 1.
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Write the equation in standard form for the circle y^2=-x^2-14y
Answer:
(y + 7)^2 = 98
Step-by-step explanation:
To write the equation in standard form for the given circle, we need to complete the square for both the x and y variables.
Let's start by rearranging the equation:
y^2 = -x^2 - 14y
Next, we'll complete the square for the y variable. To do this, we need to add a constant term that will complete the square on the left side of the equation. We'll add (14/2)^2 = 49 to both sides:
y^2 + 14y + 49 = -x^2 - 14y + 49
Now, let's group the terms:
y^2 + 14y + x^2 = -14y - x^2 + 49
To simplify the equation further, we can combine the x^2 term and the -x^2 term:
x^2 - x^2 + y^2 + 14y = 49
The x^2 terms cancel each other out, and we are left with:
y^2 + 14y = 49
To complete the square for the y variable, we need to add (14/2)^2 = 49 to both sides:
y^2 + 14y + 49 = 49 + 49
Simplifying further:
(y + 7)^2 = 98
Now, we can write the equation in standard form:
(y + 7)^2 = 98
Therefore, the equation in standard form for the circle is (y + 7)^2 = 98.
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim? Discussion Prompts Answer the following questions in your initial post: What are the hypotheses based on the words given in the problem? Should we use a Z or T distribution in this case? What is our Z or T statistic? What is the P-value? Based on your p-value and alpha, what conclusion will we make? Based on your results, would you switch to this company? Explain why or why not (Note: this can go beyond the use of statistics, but statistical analysis can help our decisions)
The solution to the question is mathematically given as
1)
H0: M \(\geqslant\) 300
H0: M \(\geqslant\) 300
2)
Z distribution.
3)
z=-2.4
4)
P=0.0082
5)
"H0" is rejected as a hypothesis with a level of significance of 0.05.
What is the hypothesis ?Generally, the equation for is mathematically given as
Solutions
we have, \($u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}\)
(1):
H0: M \(\geqslant\) 300 dollars; customers save at least 300 dollars per year by switching to them.
H0: M \(\geqslant\) 300 dollars:
(This is a left-tailed test)
(2):
when \(\sigma\) is known, we use the Z test. we use Z distribution.
(3):
\(\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}\)
(4):
\(Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082\)
(5):
In conclusion, Since p-value = 0·0082 <0.05
This is statistically significant at the 0.05 level.
We thus "Refect H0" using a threshold of significance of 0.05.
"H0" is rejected as a hypothesis with a level of significance of 0.05.
There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.
Therefore, we would not consider making the transition to this firm.
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Question 24 of 25 If f(x) = 3* + 10 and g(x) = 2x - 4, find (f+9). O A (f+g)(x) = 5x + 6 B. (f+g)(x) = 3x - 2x+14 O C. (f+ g)(x) = 3* + 2x + 6 O D. (f+ g)(x) = -3% - 2x - 14
Option c is the correct answer
"Six more than a number doubled is equal to twice a
number plus three"
Given parameters:
This is a word problem. To solve problems, it is best to interpret sentence by sentence;
Six more than a number doubled;
let the number = y ;
so we have 2(y + 6)
equal =
twice a number plus three;
let the number be Z;
2Z + 3
The complete expression is thus; 2(y + 6) = 2Z + 3
what is the volume of the rectangular prism ?
Answer:
180 \(cm^2\)
Step-by-step explanation:
L x W x H
6 x 5 x 6
180
Answer: 180 cubic centimeters
Step-by-step explanation:
Each little blue cube measures 1 cm in each direction - width, height, and depth.
The volume of the whole figure is just the volume of all the little cubes, added up.
The block of cubes is 5 cubes wide and has a depth of 6 cubes. So each horizontal layer is 5 * 6 = 30 cubes, total.
The block of cubes is 6 layers deep, so we have 6 layers of 30 cubes each = 6 * (30 cubes) = 180 cubes in all.
Each cube is 1 cubic centimeter (abbreviated 1 cc), so 180 of them have a combined volume of 180 cc.
A shorter way to say all this is to say that V = width * depth * height =
= 5 cm * 6 cm * 6 cm = (5)(6)(6) cm³ = 180 cubic centimeters
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)\(\frac{x}{3}\)+6 > 12
⇒\(\frac{x}{3}\) > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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the population full-time equivalent number of students (ftes) at lake tahoe community college for 2005-2006 through 2010-2011 was given in an updated report. the data are reported here. year 2005-06 2006-07 2007-08 2008-09 2009-10 2010-11 total ftes 1,585 1,690 1,735 1,935 2,021 1,890 calculate the mean, median, standard deviation, the first quartile, the third quartile and the iqr. round to one decimal place. mean _____
median _____
Standard deviation ______
first quartile _____
third quartile ____
IQR _____
The correct answer for the required values is 1825.5, 1,812.5, 165.2, 1,690, 1,935, and 245 respectively.
To find the mean, median, standard deviation, first quartile, third quartile, and interquartile range (IQR) of the full-time equivalent number of students (FTES) at Lake Tahoe Community College for the given years, we can solve it using the following formulas for various aspects:
Mean: μ = (Σx)/n
Median: Middle value of the data set
Standard deviation: σ = sqrt[Σ(x-μ)²/n]
First quartile (Q1): Median of the lower half of the data set
Third quartile (Q3): Median of the upper half of the data set
IQR: Q3 - Q1
Year FTES
2005-06 1,585
2006-07 1,690
2007-08 1,735
2008-09 1,935
2009-10 2,021
2010-11 1,890
1. μ = (Σx)/n = (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890)/6 = 1,825.2
Therefore the mean is 1,825.2
2. To find the median, arrange the data in ascending order:
1,585, 1,690, 1,735, 1,890, 1,935, 2,021
Since there are an even number of values, the median is the average of the two middle values, which are 1,812.5 and 1,812.5. So, the median is:
Median = (1,812.5 + 1,812.5)/2 = 1,812.5
3. σ = sqrt[Σ(x-μ)²/n]
= sqrt[((1,585-1,825.2)² + (1,690-1,825.2)² + (1,735-1,825.2)² + (1,935-1,825.2)² + (2,021-1,825.2)² + (1,890-1,825.2)²)/6]
= 165.2
4. To find the first quartile (Q1), find the median of the lower half of the data set, which consists of the values 1,585, 1,690, and 1,735.
Since there are an odd number of values, the median is the middle value, which is 1,690. Therefore, Q1 = 1,690.
5. To find the third quartile (Q3), we need to find the median of the upper half of the data set, which consists of the values 1,890, 1,935, and 2,021.
Since there are an odd number of values, the median is the middle value, which is 1,935. Therefore, Q3 = 1,935
6. IQR = Q3 - Q1
Substituting the calculated values in the equation
IQR = 1935 - 1690
= 245
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Find the exact surface area of a sphere with a diameter of 13cm
Answer:
A = 530.929158457
Answer:
Area = 706.8583471
Explanation:
The used law to measure the surface area of the sphere is
\(area \: = 4\pi \: {r}^{2} \)
Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:
\(4\pi \: {7.5}^{2} = 706.8583471\)
If you like my explanation please give me 5 stars.if a news paper costs 25p how much would 3 weeks . if the the paper is puplished six days each week
The best i could find out is 450p
Help, i will do brailiest and everything!!!
a) Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b) Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer: a) 62.591 lb b) 7.5
Step-by-step explanation:
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a) Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b) 33.4/4 = 8.35
Tada!!!!!
Find all zeros? One zero has been given.
The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,
x = -1 and x = 1/2 respectively
What is the zeros of a function?The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
In the given problem, the zero of the function;
f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are
f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0
f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0
f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0
f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0
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Find the slope of the line.
Answer:
1/3
Step-by-step explanation:
It takes 3 spots for the line to hit an intersection of y and x axis so therefore the slope is 1/3
Last year the original prices of Emma's and Sophie's phones were $560 and $640. Now the prices reduced in ratios 7:6 and 4:3 respectively. What is the difference of the current prices?
HELP ASAP!!! ILL GIVE BRAINLIEST!
The residents of a city voted on whether to raise property taxes. The ratio of YES votes to NO votes was 2 to 3. If there were 4735 TOTAL votes, how many NO votes were there?
Answer:
2841 no votes
Step-by-step explanation: