Answer:
5 oranges
Step-by-step explanation:
If you have $10 and each orange is $2, you can buy 5 oranges. You can do 10/2 to find the answer.
Answer:
5 oranges
Step-by-step explanation: 10.00/2.00= 5 I hope this helps I am sorry if it is wrong
Sketch an angle θ in standard position such that θ has the least possible positive measure and the point (−3,4) is on the terminal side of θ. Then find the exact values of the six trigonometric functions for θ.
To sketch the angle θ in standard position, you can start by plotting the point ( -3, 4 ) on the coordinate plane. Next, you draw a line from the origin ( 0, 0 ) to the point ( -3, 4 ), which represents the terminal side of the angle.
Now, you can use the six trigonometric functions to find the exact values for θ:
Cosine ( cos θ ) = x / r = -3 / 5
Sine ( sin θ ) = y / r = 4 / 5
Tangent ( tan θ ) = y / x = 4 / -3
Secant ( sec θ ) = 1 / cos θ = -5 / 3
Cosecant ( csc θ ) = 1 / sin θ = -5 / 4
Cotangent ( cot θ ) = 1 / tan θ = -3 / 4
Here, r represents the distance from the origin to the point ( -3, 4 ), which is 5 units. Note that these values are for the least positive measure of the angle, which is in the second quadrant.
100 points! halp...
Which point could be removed in order to make the relation a function? ((-4.3). (-5. 6), (1, 0). (-4. 5). (9, 5), (0.-7))
(-5.6)
(1.0)
(-4, 5)
(9.51
Answer:
it is 3rd option C. -4, 5
Step-by-step explanation:
all the elements are associated with only one second element except -4
for -4 there are two second elements 3 and 5 from the ordered pairs (-4, 3) and (-4, 5)
so we can remove one of them to make R a function
since (-4, 3) is not in the options so the correct option is (-4, 5)
so c is the right one
Hope This Helped
As per defination of function
Every domain has an unique range
or
f(x)=yHere
f(-4)=3f(-4)=5One point need to be removed to get it function
Hence the point is (-4,5)
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at the University of Texas Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According to HR, "if you have this tendency, consider using a normal distribution—10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee’s performance on a scale of 1 (lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 50 and a standard deviation of 15.
a. What is the lowest rating you should give to an "exemplary" employee if you follow the University of Texas HR guidelines?
b. What is the lowest rating you should give to a "competent" employee if you follow the University of Texas HR guidelines?
Answer and Step-by-step explanation:
Solution:
Given:
µ = 50
∂ = 15
Lowest rating given to exemplary.
The top 10 %of the employees are related exemplary:
P(x > L) = 10 % =0.10
The average probability table in the appendix contains the only probability of the form.
P (0 < x< L ) = p ( x > 0 ) – P ( x > L )
= 0.5 -0.10
= 0.40
z- Score in the normal probability table in the appendix corresponding to a probability of 0.40 or the closest probability.
Z = 1.28
The standardized score is the value x decreased by the mean and then divided by the standard deviation.
Z = x - µ / σ
L = x = µ +z0
= 50 + 1.28(15)
= 69.2
Lowest rating giving to competent:
The lower boundary of competent is boundary of bottom 30%
P(x < L ) = 30% = 0.30
The normal probability table contains only probability of the form p( 0≤z≤z0)
P( 0< x < -L) = P(L < x < 0)
= p(x < 0) – p(x < L)
=0.5 – 0.30
= 0.20
Z score in normal probability corresponding to the probability of 0.20
-z = 0.52
Z= - 0.52
Value x decreased by the mean and divide by standard deviation:
Z = x - µ / ∂
L = x = µ + zo
= 50 – 0.52(15)
= 42.2
4
Number of Years
m
N
1
16
18
18°
19°
22°
30°
20
Mark this and return
28
22
24
26
Average Daily Temperature
30
The mean of the temperatures in the chart is 24° with a standard deviation of 4°. Which temperature is within one
standard deviation of the mean?
32
Save and Exit
Next
Submit
The temperature of 30° is within one standard deviation of the mean.
To determine which temperature is within one standard deviation of the mean, we need to consider the range that falls within one standard deviation above and below the mean.
Given that the mean temperature is 24° with a standard deviation of 4°, one standard deviation above the mean would be 24° + 4° = 28°, and one standard deviation below the mean would be 24° - 4° = 20°.
Looking at the temperatures in the chart, we can see that the temperature of 30° is within one standard deviation of the mean. It falls within the range of 28° (one standard deviation above the mean) and 20° (one standard deviation below the mean).
Therefore, the temperature of 30° is within one standard deviation of the mean.
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The figure below shows a juice box in the shape for a rectangular prism
(a)
Given the dimensions of the rectangular prism l = 7 cm, w = 2 cm, h = 8 cm, the surface area of a rectangular prism can be computed using the equation
\(SA=2(wl+hl+hw)\)Substitute the values on the equation above and compute, we get
\(SA=2\lbrack(2cm\times7cm)+(8cm\times7cm)+(8cm\times2cm)\rbrack=172cm^2\)The volume of the rectangular prism can be computed using the equation
\(V=l\times w\times h\)Plug in the values on the equation above and compute, we get
\(V=(7cm)\times(2cm)\times(8cm)=112cm^3\)(b) For the amount of juice inside the rectangular prism, we will use volume.
(c) For the amount of coating of wax for the box, we will use surface area.
Write an equation that can be used to find the degree measure of angle b
Don’t put links !
Answer:
Because they are supplementary angles, their sum is 180°.
∠b = 180° - 81°
∠b = 99°
Answer:
\(180-81=b\)
Step-by-step explanation:
Supplementary angles are angles that add up to 180. Normally, they are supplementary because they lie adjacent to one another on a line.
In this base, b is supplementary to 81! Meaning, to find b we can simply subtract 81 from 180.
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Have a nice day, fam. Spread The Love <3
please give a VERY SHORT EXPLANATION NOT LONG!
As we can see in the picture, the first part of the piece-wise function has to be a parabola, while the second is a linear equation.
Also, the parabola has a condition, in which:
\(x<2\)The number 2 is not included as the graph has an empty dot.
While the linear equation, as it has a full dot, we can say that:
\(x\ge2\)Based on the latter, we can know the answer...
Answer: A.
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices
n = a − m
n=m−a
n=a+m
n = −m − a
ALSO THERES THIS QUESTION TOO
Deon plans to ride a 15-mi bicycle trail. If his average speed is 20 mi/h, which equation can he use to find the time t, in hours, for the ride? Group of answer choices
T = 20 - 15
T = 20 / 15
T = 20 x 15
T = 15 / 20
PLEASE HELP FAST
Answer:
1). Option (2)
2). Option (4)
Step-by-step explanation:
1). Formula to evaluate the actual cost 'a' of an item with original price 'm' and a discount coupon for 'n' dollars applied will be,
a = m - n
n = m - a
Therefore, expression (2) will be the answer.
2). Deon ride a 15 mi bicycle trail.
Average speed of the trail is = 20 miles per hour
From the formula,
Speed = \(\frac{\text{Distance}}{\text{time}}\)
Time = \(\frac{\text{Distance}}{\text{Speed}}\)
= \(\frac{15}{20}\) hours
Therefore, Option (4) will be the answer.
how does the NBA draft work?
The NBA draft is an important event for teams to improve their roster and build for the future.
Explaining the NBA draftThe NBA draft is an annual event where the teams in the National Basketball Association (NBA) select new players to join their team.
The order in which the teams select players is determined by a lottery, with the worst-performing teams from the previous season having a higher chance of getting a higher draft pick.
The draft consists of two rounds, with each team having one pick per round.
Teams can also trade their draft picks with other teams before or during the draft. The selected players are then signed to a contract and can begin playing for their new team in the upcoming NBA season.
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How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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as an estimation we are told 5 miles is 8 km convert 58 km into miles
36.25 miles
Makayla’s local movie theater has a moviegoer club. The charts in the annual registration fee of $25. However movie tickets are discounted remembers at six dollars per ticket instead of the regular nine dollars per ticket. Let him represent the number of movie tickets Makayla’s purchase a need to write a function tomorrow the amount of money Makayla spent going to the movies doing the club
Answer:
m = 25 + 6n
Step-by-step explanation:
To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
Sorry I cant help
Step-by-step explanation:
what type of scale is used on the map?
The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.
The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.
There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.
Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.
Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.
Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.
It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.
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Sara is considering multiple job offers. She enjoys outdoor
activities like going to the beach. What non-income factor would
influence her decision?
Availability of benefits
LocationJob security
Working hours
What is 19,067 divided by 43
Answer:
443.418604651
Step-by-step explanation:
Thank you for the points!
2. Busy 312 Students (10 points) CSE 312 students sometimes delay laundry for a few days (to the chagrin of their roommates). A busy 312 student must complete 3 problem sets before doing laundry. Each problem set requires 1 day with probability 2/3 and 2 days with probability 1/3. (The time it takes to complete different problem sets is independent.) Let B be the number of days a busy student delays laundry. What is the probability mass function for B?
Suppose B be the number of days we can say busy student delays laundry. Consequently, B's probability mass function is 4.
The Probability Mass function, which accepts all arguments of any real integer, is defined on all values of R. When the argument value is equal to zero, it does not correspond to the value of X, and when it does, the PMF value must be positive.
When establishing a separate probability distribution, the probability mass function is typically the key component, but it differs from the probability viscosity function (PDF) in that it causes different problems.
Each set of problems takes one day with probability.
so P = 2/3
Each problem set requires 2 day with probability ,
So, P = 1/3
Number of students is 3/2
Number of problems is 3
B = number of days a busy student delays a laundry
Probability mass function of B
pmf(B) = 1*3*2/3 + 2*3*1/3
pmf(B) = 4
Therefore, the probability mass function for B is 4.
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Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
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what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}\)
We can write this as:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}\)
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}\)
Then we have the inequality
\(1 > (x - 2)/3\)
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
a garden has sides that are 7 ft by 12 ft. how much fencing would it take to go around the garden
Check the picture below.
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), what are the
coordinates of B?
The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).
To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.
Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).
Using the midpoint formula, we can set up the following equations:
(x1 + x2) / 2 = -4
(y1 + y2) / 2 = 2
Substituting the coordinates of point A (-7, 3), we have:
(-7 + x2) / 2 = -4
(3 + y2) / 2 = 2
Simplifying the equations:
-7 + x2 = -8
3 + y2 = 4
Solving for x2 and y2:
x2 = -8 + 7 = -1
y2 = 4 - 3 = 1
Therefore, the coordinates of point B are (-1, 1).
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Bob has $1.15 in his wallet which contains 18 coins in nickels and dimes. Find how many nickles he has.
9514 1404 393
Answer:
13 nickels
Step-by-step explanation:
Let n represent the number of nickels Bob has. Then 18-n is the number of dimes, and the total value (in cents) is ...
5n +10(18-n) = 115
-5n +180 = 115 . . . simplify
65 = 5n . . . . . add 5n-115
13 = n . . . . . . . divide by 5
Bob has 13 nickels.
Answer:
well... if we don't know how many dimes then we can only guess how many nickels... since it is nickelS AND dimeS, it could be anything from 14 nickels and 2 dimes to 2 nickels and 17 dimes
Step-by-step explanation:
What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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Someone pls help I don’t know how to di this
Answer:
the answer would be positive 3 over 2
Step-by-step explanation:
(-8- b) + 6c (if b = -5 and c= 2)
Given:
\((-8-b)+6c\)Substitute b=-5 and c=2 in the above expression.
\(\begin{gathered} (-8-(-5))+6\times2=(-8+5)+12 \\ =-3+12 \\ =9 \end{gathered}\)Thus, the value of the given expression is 9 when b=-5 and c=2.
i need help with this 3^8/3
Answer:
18.72
Step-by-step explanation:
\(3^{\frac{8}{3}}=3^{2+\frac{2}{3}}\\=3^2\cdot \:3^{\frac{2}{3}}\\3^2=9\\=9\cdot \:3^{\frac{2}{3}}\\=18.72\)
Answer:
\(3^7\) or \(\sqrt[3]{3^8}\) (refer to step-by-step)
Step-by-step explanation:
I'm unsure whether this is supposed to be \(\frac{3^8}3\) or \(3^{\frac83}\), so I'll answer both.
For the first one, we should remind ourselves of the exponential law that claims: \(\frac{a^m}{a^n} = a^{m - n}\)
Therefore, \(\frac{3^8}3 = 3^{8 - 1} = 3^7\)
For the latter, we should remind ourselves of the exponential law that claims: \(a^{\frac mn} = \sqrt[n]{a^m}\)
Therefore, \(3^{\frac83} = \sqrt[3]{3^8}\)
There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people use at least two
facilities?
Answer:
he total number of people who use at least two facilities is 4 + 45 = 49
Step-by-step explanation:
To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.
The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.
Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.
2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line
Answer:
hello
Step-by-step explanation:
say hell-o
Alexa has saved
2/7
of the cost of her trip to the Caribbean. Estimate how much money she
has left to save.
A.3/4 of the cost
B.1/2 of the cost
C.1 1/4 of the cost
D.1/4 of the cost
Answer:
A 3/4
Step-by-step explanation:
Set up equation to find the percentage 2/7 equals:
Variable x = percentage
2/7 = x/100
Cross multiply:
2 × 100 = 7 × x
200 = 7x
Divide:
28.57142... = x
About 30% (I rounded to 30% because it is a nice number to use when all other numbers end in 5 or 0)
If Alexa has about 30% saved, she will need to save about 70% more. Find the solution that is closest to 70%.
A is 3/4 which comes out to 75%. So far, this sounds like the best answer. Let's check the others just in case.
B is 1/2, or 50% which isn't as close as A was to 70%.
C is 1 1/4 which means 125% needs to be saved. This would mean Alexa is in debt and hasn't saved any money which is not the case.
D is 1/4, or 25%. The trick here is that she's saved about 30% so 25% is closest, but we are looking for how much more she needs to save.