1.Find the missing angle
2.what is the measure of angle 1
3.what is the measure of angle 2?
Answers
Related Questions
Suppose there are 16 students in your class. If the teacher draws 2 names at random, what is the probability that you and your best friend will be chosen?
1/15
1/120
1/8
3/31
Answers
Answer:
The total number of ways to choose 2 students from a class of 16 is given by the combination formula:
C(16,2) = 16! / (2! * (16-2)!) = (1615) / (21) = 120
This means there are 120 possible pairs of students that could be drawn.
The probability of you and your best friend being chosen is the number of ways that you and your friend can be selected divided by the total number of possible pairs. There is only 1 way to select you and your best friend out of the class of 16, so the probability is:
P(you and your best friend are chosen) = 1/120
Therefore, the probability that you and your best friend will be chosen is 1/120. Option (B) is the correct answer.
Answer:
The probability of choosing one specific student out of 16 is 1/16. After one student is chosen, there are 15 students left, so the probability of choosing the second specific student out of the remaining 15 is 1/15. The probability of both events happening is the product of the probabilities: (1/16) x (1/15) = 1/240. However, there are two ways that the students can be chosen (your friend first, then you or you first, then your friend), so we need to multiply the probability by 2: 2 x (1/240) = 1/120. Therefore, the probability of you and your best friend being chosen is 1/120. Answer: 1/120.
8. What is the slope of the line?
A. 0
B. 1
C. Infinity
D. Undefined
Answers
Because y=2 is a horizontal line, there is no rise
Answer:
0.
Step-by-step explanation:
The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).
In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.
If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).
Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.
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Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to some chocolates. There were originally 30 chocolates in the box and after 8 nights, there were 6 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Nolan's birthday.
Answers
The equation of remaining chocolate C in terms of t is C = 30 - 3t.
What is an equation?A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.
Given that,
Initial number of chocolates in box = 30
Also given that after 8 nights, number of remaining chocolates = 6
Implies that,
In 8 nights, 24 chocolates were treated.
In 1 night, 3 chocolates were treated.
The equation of remaining chocolate C in terms of t can be written as
C = 30 - 3t.
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I am having a hard time figuring out the domain and range
Answers
Answer:
domain= [-5,5]
range= [-3,3]
Step-by-step explanation:
the domain is with the x axis you have to look for the farthest x axis which would be - 5 in this case and the closest axis which is 5 so the x can be anywhere between - 5 and 5
then for the range is with the y axis you would look for the farthest y axis which is - 3 and the closes which is 3 so the y can be anywhere in between - 3 and 3
What is the meaning of the point shown on this graph?
Mysha’s Height
A: Mysha was 12 inches tall at age 2 1/2 years
B. Mysha was 30 inches tall at age 1 year
C: Mysha was 12 inches tall at the ago 30 months
D: Mysha was 30 inches tall at age 12 years
Answers
Please help!!! What is the slope intercept equation for this line
Answers
Answer:
y = - \(\frac{1}{4}\) x - 1
Step-by-step explanation:
y = mx + b
Slope:
The m is the slope in the equation. Look at the two points given. If you start at the point on the left, you go down 1 and 4 to the right. 1/4
Y-intercept:
The y intercept is the b. It is where the line crosses the y axis. It crosses at -1
Answer:
y = - (1/4)x - 1----------------------------------------
Slope- intercept form:
y = mx + b, where m- slope, b- y-interceptUse two points on the graph:
(0, - 1) and (4, - 2)The first point is a y-intercept, b = - 1
Find the slope:
m = (- 2 - (-1)) / (4 - 0) = - 1/4The line is:
y = - (1/4)x - 1ways to select the 7 math help websites
Answers
Answer:
Step-by-step explanation:
If the order you select them is important
nmber of ways = 9! / (9-7)!
= (9*8*7*6*5*4*3*2*1) / (2*1)
= 9*8*7*6*5*4*3
= 181,440.
If the order does not matter:
nmber of ways = 9! / ((9-7)! * 7!)
= 9*8 / 2*1
= 36.
The circumference of a circular garden is 122.46 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer. feet
Answers
The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.
What is the Circumference of a Circle?Circumference = 2πr, where r is the radius of the circle.
Given the following:
Circumference = 122.46 feetRadius (r) = ?π = 3.14122.46 = 2(3.14)(r)
122.46/2(3.14) = r
r = 19.5 feet.
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If the product of the slopes of two lines is -1, then the two
lines are
O parallel
O perpendicular
O skew
O intersecting
Answers
Answer:
They are intersecting.
Step-by-step explanation:
Since their slopes can't be the same (because their product couldn't be negative in that case), they have to intersect at one point or another.
3c + 5d = 7d – 6c, solve for d
Answers
Answer:
-3c+12d
Step-by-step explanation:
For each of the following systems, determine whether the system is independent, dependent, or
inconsistent. Justify your answers.
2x + 3y = 7 -2x-3y= -7
Answers
Answer:
It's dependent, the y intercept is 3/7 and slope is -2/3 for both of them
Step-by-step explanation:
Anna is two years younger than Elsa, and Elsa is two years younger than Kristoff. If the sum of their current ages is 81, then what would thier ages after three years.
Answers
Answer:
26, 28, and 30
...............
Answer:
In the first movie, Elsa is 21, Anna is 18, and Kristoff is 23.
So after 3 years, Elsa would be 23, Anna would be 21, and Kristoff would be 26.
Step-by-step explanation:
I didn't fully understand the question, so I tried my best.
Forgive me if I am wrong.
Solve and graph.
2a − 10 < 2
Answers
The calculated solution to the inequality is a < 6
How to determine the solution to the inequalityfrom the question, we have the following parameters that can be used in our computation:
2a - 10 < 2
Divide through the equation by 2
So, we have
a - 5 < 1
Add 5 to both sides
a < 6
Hence, the solution to the inequality is a < 6 and the graph is attached
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how do you find out if a like is parallel, perpendicular, or coincidental when theres 2 equations
Answers
The slope intercept form of the equation of a line is given as:
y = mx + c
where m = the slope of the line
c = the y - intercept of the line
1) Two line are parallel if they have the same slope
That is:
\(\begin{gathered} \text{If the equation for line 1 is: y = m}_1x+c_1 \\ \text{If the equation for line 2 is: y = m}_2x+c_2 \\ \text{Then, line 1 is parallel to line 2 if m}_1=m_2 \end{gathered}\)2) Two equations are perpendicular if the slope of one is the negative inverse of the other.
\(\text{That is : m}_1=\text{ }\frac{-1}{m_2}\)3) Two equations are coincidental if they have the same slope and the same y intercept
\(\begin{gathered} \text{That is: m}_1=m_2_{} \\ \text{and c}_1=c_2 \end{gathered}\)y=3x²-5x+4 is there a relationship between the degree of a polynomial and how steep it is on the left and right edges. If it is so, what is it?
Answers
Answer:
Step-by-step explanation:
The revenue can be modeled by the polynomial function
R
(
t
)
=
−
0.037
t
4
+
1.414
t
3
−
19.777
t
2
+
118.696
t
−
205.332
where R represents the revenue in millions of dollars and t represents the year, with t = 6 corresponding to 2006. Over which intervals is the revenue for the company increasing? Over which intervals is the revenue for the company decreasing? These questions, along with many others, can be answered by examining the graph of the polynomial function. We have already explored the local behavior of quadratics, a special case of polynomials. In this section we will explore the local behavior of polynomials in general.
Multiplicity and Turning Points
Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Suppose, for example, we graph the function
f
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
(
x
+
1
)
3
.
Notice in the figure below that the behavior of the function at each of the x-intercepts is different.
Graph of h(x)=x^3+4x^2+x-6.
The behavior of a graph at an x-intercept can be determined by examining the multiplicity of the zero.
The x-intercept
x
=
−
3
is the solution to the equation
(
x
+
3
)
=
0
. The graph passes directly through the x-intercept at
x
=
−
3
. The factor is linear (has a degree of 1), so the behavior near the intercept is like that of a line; it passes directly through the intercept. We call this a single zero because the zero corresponds to a single factor of the function.
The x-intercept x=2
is the repeated solution to the equation (x−2)2=0
. The graph touches the axis at the intercept and changes direction. The factor is quadratic (degree 2), so the behavior near the intercept is like that of a quadratic—it bounces off of the horizontal axis at the intercept.
(x−2)2=(x−2)(x−2)
A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Answers
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 20 ounces, hence \(\mu = 20\).Standard deviation of 2.3 ounces, hence \(\sigma = 2.3\)P(Y < 16) is the p-value of Z when X = 16, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{16 - 20}{2.3}\)
\(Z = -1.74\)
\(Z = -1.74\) has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
Estimate:
16.43 + 18.64 =
Answers
Answer:
A.35
Step-by-step explanation:
if you round 16.43 and 18.64 to the nearest whole number you get 16 and 19. 16+19=35
hope this helps :)))))
If a 32-gram serving of pasta contains 4 g of protein, how many grams of protein are in a 454-gram box of the pasta?
g
Answers
Answer: 56.5
Step-by-step explanation:
We can use a proportion to solve this problem. A proportion is an equation that shows two ratios are equal. The ratio of grams of protein to grams of pasta is constant, so we can use this to set up our proportion.
We know that a 32-gram serving of pasta contains 4 grams of protein. So we can write:
4 grams of protein / 32 grams of pasta = x grams of protein / 454 grams of pasta
where x is the number of grams of protein in a 454-gram box of pasta.
To solve for x, we can cross-multiply:
32 grams of pasta * x grams of protein = 4 grams of protein * 454 grams of pasta
Simplifying this equation gives:
32x = 1816
Dividing both sides by 32 gives:
x = 56.5
Therefore, there are approximately 56.5 grams of protein in a 454-gram box of pasta.
Answer: 56.5 grams.
Please answer
Will give brainlst
Answers
Answer:
1.true
2.false
3.true
Step-by-step explanation:
please give me a brainliest :)
select the correct answer from each drop-down menu. How are confidence intervals affected by interval size? When creating a confidence interval, higher confidence corresponds to a smaller or larger interval, and lower confidence corresponds to larger or smaller interval.
Answers
When creating a confidence interval, higher confidence corresponds to a larger interval, and lower confidence corresponds to a smaller interval.
==============================================
Explanation:
Imagine you are going fishing for an elusive sea creature of some kind. Casting a very wide net means we are more confident in catching the creature, in comparison to using a smaller net.
The fishing net is analogous to the width of the confidence interval. The wider the confidence interval, the more confident that we're capturing the parameter we're trying to measure.
Answer:
1.) larger 2.) smaller
(props to the other answers)
Step-by-step explanation:
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Answers
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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I need help with number one and thank you for your help
Answers
Answer: B
Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
Answers
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
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What type of angles are labeled and what is the value of m? Show your work.
Answers
Answer: I believe
M = 80
Step-by-step explanation:
100 - 20 = 80
A home has a triangular backyard. The second angle of the triangle is 4 degrees more than the first angle. The third angle is 26 degrees more than three times the first angle. Find the angles of the triangular yard.
Answers
Answer:
66.4, 70.4, 223.2
Step-by-step explanation:
make the equation x + (x+4)+ 3x+24=360
then it's 5x+28=360
subtract 28 on both sides
5x=332
then divide by 5 on both sides
x=66.4
then, just plug in the numbers
Mr. Ramirez purchased 25 concert tickets for a total of $245. The concert tickets cost $17 for adults and $12 for children under the age of 12.
Answers
Answer:
Step-by-step explanation: Use the variables “a” for adults and “c” for children.
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
Answers
Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
The spray from a spinning lawn sprinkler makes
a circle with a 40 foot radius. If Ben and his
friends what to play and get wet, how much
space do they have?
Answers
Answer: \(5027.2\ ft^2\)
Step-by-step explanation:
Given
The radius of the circle is \(r=40\ ft\)
The area of the circle is given by \(\pi r^2\)
Insert the value of radius and get the area to play
\(\Rightarrow \text{Area A=}\pi \times 40^2\\\\\Rightarrow A=3.142\times 1600\Rightarrow A=5027.2\ ft^2\)
Thus, the area to play is \(5027.2\ ft^2\)
Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500
Thankyouuuuu !
Answers
Answer:
see i do not know 1st so i am not answer for it
Step-by-step explanation:
2nd) let 1st number be x
and second number be y
so x+y>11 or x+y<11 or x+y=11
this three can be i am not sure about this so just verify from any other source too
3rd) the ans is 500 upon(divided) by 4=125
so 125 multiply by 3 is 375
the correct ans is 375
16 teams, each with the same number of people, enter a quiz. At the
semifinal stage there are 12 people left in the competition
How many people entered the quiz?
Answers
Answer
48
Step-by-step explanation:
Semi-finals implies there are FOUR teams left...12 people implies THREE people per team