Answer:
D
Step-by-step explanation:
Which point is on the interior of ∠BAC?
point D
point B
point C
point A
When talking about ∠BAC, points B and C are on the rays, and A is the vertex. Thus, only point D could be on the interior of the angle, assuming it falls within the area enclosed by these lines.
Explanation:In geometric terms, an angle is made up of two rays that share a common endpoint, known as the vertex. The interior of an angle is the area enclosed by the rays. When we talk about ∠BAC, points 'B' and 'C' are on the rays while 'A' is the vertex. Therefore, only point D could potentially be on the interior of ∠BAC, assuming it lies within the space enclosed by the lines extending from point 'A' to points 'B' and 'C'. Without further context or a diagram to confirm D's position, this is the best conjecture we can make based on the given information.
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Use the graph of the function y = (x + 3)(x − 2) to find the solutions of the quadratic equation 0 = (x + 3)(x − 2).
Answer:
-3 and 2 are the answer
Hope this helps!
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ
Answer:
The graph is symmetric about the x-axis.
Step-by-step explanation:
1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r, -θ ) or (-r, π - θ ) also lies on the graph.
2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r, π - θ ) or (-r, -θ ) also lies on the graph.
3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.
The given polar equation is
[tex]r=2\cos (5\theta)[/tex]
Check the equation by (r, -θ).
[tex]r=2\cos (-5\theta)=2\cos (5\theta)=r[/tex]
Therefore, the graph is symmetric about the x-axis.
Check the equation by (-r, -θ).
[tex]-r=2\cos (-5\theta)=2\cos (5\theta)=r\neq -r[/tex]
Therefore, the graph is not symmetric about the y-axis.
Check the equation by (-r, θ).
[tex]-r=2\cos (5\theta)=2\cos (5\theta)=r\neq -r[/tex]
Therefore, the graph is not symmetric about the origin.
Marni danced in a contest to raise money for an animal shelter. Marni raised $30 plus $1.80 per minute that she danced. She raised a total of $264. Let x equal the number of minutes Marni danced. What expression completes the equation to determine the total amount of minutes Marni danced? How many minutes did Marni dance? Enter the answers in the boxes.
Answer: 1: 30+1.8x=264
2: 130 min
Step-by-step explanation:
A square pyramid has a base edges 10 in long and a height of 4 in sketch the pyramid and find the surface area round your answer to the nearest tenth
There were 120 black birds sitting in a tree , but then some blackbirds flew after that there were 85 birds sitting in the tree if b=the number of blackbirds that flew away , which mathematical sentence expresses the information above?
if p is the midpoint of xy, xp=8x-2 and py=12x-30, find the value of x
To find the value of x, we can use the midpoint formula which is 16/9.
Explanation:To find the value of x, we can use the midpoint formula. According to the formula, the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the same applies to the y-coordinate.
Given that XP = 8x - 2 and PY = 12x - 30, we can set up the equation:
(8x - 2 + 12x - 30) / 2 = x
Simplifying the equation, we get:
(20x - 32) / 2 = x
Multiplying both sides of the equation by 2 to eliminate the fraction, we get:
20x - 32 = 2x
20x - 2x = 32
18x = 32
x = 32/18
x = 16/9
A man is 18 years older than his son. in 2 years, his age will be twice the the age of his son. how old is the son at this point in time?
Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $1040. This year, the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of eqipment as last year. How many bats and gloves did the team purchase each year?
The baseball team purchased 22 bats and 50 gloves last year.
Explanation:To solve this problem, let's use a system of equations. Let x represent the number of bats and y represent the number of gloves purchased last year. We can set up the following equations:
20x + 12y = 1040 (equation 1) 25x + 16y = 1350 (equation 2)
We can solve this system of equations by using either the substitution method or the elimination method. Let's use the elimination method:
Multiply equation 1 by 5 and equation 2 by 4 in order to create equal coefficients for x:100x + 60y = 5200 100x + 64y = 5400 Subtract the equations to eliminate x:(100x + 64y) - (100x + 60y) = 5400 - 5200 4y = 200 y = 50
Now we can substitute the value of y back into equation 1 to solve for x:
20x + 12(50) = 1040 20x + 600 = 1040 20x = 440 x = 22
Therefore, the team purchased 22 bats and 50 gloves last year.
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what is y=2-3x in standard form?
The given equation of the line is in slope-intercept form. To convert it to standard form, simply rearrange so that all terms are on one side of the equation resulting in 3x + y = 2.
Explanation:The equation you're given is y=2-3x which is in the slope-intercept form i.e., y = mx + b, where m is the slope and b is the y-intercept. To convert this equation to a standard form, the general approach is to eliminate fractions and have the 'y' and 'x' terms on the same side of the equation.
Starting from y = 2 - 3x, add 3x to both sides of the equation to get it in the standard form. So, it becomes 3x + y = 2, which is the standard form of the given equation.
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Jillian has $50.45 to spend on hamburgers and drinks. Hamburgers are $2.25 each. What is the LARGEST number she can buy and still have at least $10 left over for drinks?
Please help, will give brainliest.
If the area of a parallelogram is to remain constant, what change must take place in the base if the altitude is multiplied by three? (1a)____ by(1b) _____. If the altitude is divided by two? (2a)____ by(2b) _____.
1a) A. divide. B. Multiply. C. Addition.
1b) A.6 B.3
2a) A. Divide. B. Multiply
2b) A. 2 B. 6
Please help, will give brainliest.
Answer:
The answers are:
1a --> divide
1b --> 3
2a --> multiply
2b --> 2
By the way, I turned in my assignment and these are the answers on the answer key, so they are correct for sure! :)
After you complete your survey of students reported heights at your school, you discover that your sample is biased. Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school. What conclusion can you reach about the mean of the average difference in your sample?
a.It is greater than the mean of the average difference of the population
b.It is less than the mean of the average difference of the population
c.It is exactly 10% greater than the mean of the average difference of the population
d.It is exactly 10% less than the mean of the average difference of the population
Answer:
a. It is greater than the mean of the average difference of the population
Step-by-step explanation:
Given is - Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school.
It is very certain that the sample is biased towards the higher spectrum.
We can say that the real value of the mean is lower than the original value of our sample population.
So, option A is correct.
Ali currently has $25. He is going to start saving $5 every week. Ali's Savings Function Rule: y = 5x + 25
The rate of change of this function is
The rate of change of Ali's saving function according to the first derivative is 5.
Given the saving function :
[tex]y = 5x + 25[/tex]
The rate of change is the first derivative of y
Therefore,
[tex] \frac{dy}{dx} = 5[/tex]
Therefore, the rate of change of the function is 5.
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In the figure below, if segment B E is the perpendicular bisector of segment A D, what is the value of x?
How to tell if a function is continuous or discontinuous?
Final answer:
A function is continuous at a point if it is defined at that point, the limit exists as it approaches the point, and the limit is equal to the function's value at that point. If these conditions are not met, the function is discontinuous. The first derivative must also be continuous unless given specific exceptions.
Explanation:
To determine if a function is continuous or discontinuous, you can apply several tests. A function y(x) is said to be continuous at a point if it meets three conditions:
The function must be defined at that point.The limit of the function as it approaches that point exists.The limit of the function as it approaches the point is equal to the function's value at that point.If any of these conditions fail, the function is discontinuous at that point. For example, a function with a hole, jump, or asymptote at a point would be discontinuous there. Also, if the first derivative of y(x) is not continuous, unless the potential function V(x) is infinite, this indicates a discontinuity. In continuous probability functions, such as probability density functions, discontinuities are not present, and the function's graph does not have breaks or holes. Instead, the entire graph is a single unbroken curve.
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
Erudite1 is right it will be zero
Given that (1,5) is on the graph of f(x), find the corresponding point for the function f(x-1)
Which statement describes how to solve sqrt3x+4 = sqrt3x+4?
A. Square both sides once and then solve the resulting linear equation.
B. Square both sides once and then solve the resulting quadratic equation.
C. Square both sides twice and then solve the resulting linear equation.
D. Square both sides twice and then solve the resulting quadratic equation.
NEED IT ASAP
since both equations are the same, you would square it one and solve for the linear equation
Answer is A
Answer:
A
Step-by-step explanation:
A 48 ounce container of juice costs $2.64 each. A 64 ounce container of the same juice costs $3.84.
a. Find the cost per ounce of each container.
b. Which size container costs less per ounce?
c. You want to buy 192 ounces of juice. How much do you save using the container size from your answer to part (b)?
There is a 12% sales tax. The pre-tax cost of a mobile phone is $280. What is the tax payable on this mobile phone?
The tax payable on this mobile phone is $33.60.
Using this formula
Tax payable=Sales tax × Pre tax cost
Where:
Sales tax =12%
Pre tax cost=$280
Let plug in the formula
Tax payable=12%×$280
Tax payable=$33.60
Inconclusion the tax payable on this mobile phone is $33.60.
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There were 25 questions on the test you got a 74 percent what is the number of question you got correct
74% = 0.74
multiply 25 by 0.74
25*0.74 = 18.5
so you got 18 1/2 questions correct
The value that results from plugging in an x term.
use inductive reasoning to find the remaining numbers in the pattern. 2,5,10,17,26,37, ?, ?
I need help. It is just one question
The first three terms of a geometric sequence are as follows. −4 , 20 , −100 find the next two terms of this sequence. give exact values (not decimal approximations).
A text font fits 12 characters per inch.Using the same font how many characters can be expected per yard of text?
1 foot = 12 inches
1 yard = 3 feet = 36 inches
36*12 = 432 characters
A stack of four hundred twenty cards is placed next to a ruler, and the height of stack is measured to be 7/8 inches. How thick is one card?
7/8 divided by 420 = 7/8 x 1/420 by inverting
& multiplying
= 7/3360 by multiplying tops together & bottoms together
= 1/480 inch reducing fraction by dividing top & bottom
by 7
(and yes, I know that top is called numerator & bottom is
called denominator, otherwise known as upstairs & downstairs)
Could also work by cross-cancelling earlier, dividing 7 by 7
= 1 and dividing 420 by 7 = 60
leaving 1 x1 on the top & 8 x 60 on the bottom. Will get
same result as before, 1/480 inch.
What are the possible solutions to 33⋅3333⋅33, if 11⋅11=411⋅11=4 and 22⋅22=1622⋅22=16?
Since 11*11 = 4, therefore in this case 11 = 2. Since 22*22 = 16, therefore in this case 22 = 4. So we can see that the common ratio is 2. Based from this, we can say that 33 = 6.
So that:
33*33 = 36
Given that there are eight ounces in a cup and four cups in a quart , which quaintity below is equal to 128 ounces
A- 256
B- 64
C- 16
D- 2
The answer is D- 2.
128 ounces is equivalent to 1 quart in the English system. Knowing that 1 quart equals 4 cups and 1 cup equals 8 ounces, we can calculate that 128 ounces is equal to 1 quart.
A - 256B - 64C - 16D - 2