Answer:
Measure of Arc AC is 30 degrees
Step-by-step explanation:
To find the value of the marked arc, we are going to use the arc-angle relationship
from the type of given diagram, we can figure out the relationship to use
Mathematically, we have this as;
Measure of Arc AC = 2 * angle ABC
So we have arc AC as 2 * 15
Arc AC = 30 degrees
−9x+5y=45 slope intercept form
Answer:
5y=9x+45
Y=9/5x+9
Step-by-step explanation:
35 POINTS
Find the range of this quadratic function
Answer:
The range of this quadratic function is
-infinity < y ≤ 2.
solve the following equations.x + 3y =0 and 5x + y = 15
Answer:
The required values are:-
x= 45/14 and y= -15/14
There are 5 yellow cards, 3 blue cards, and 7 red cards in a bag. A card is chosen at
random. What is the probability of choosing a yellow card and without replacing it,
choose blue card?
Answer:
0.714
Step-by-step explanation:
Argument
The total number of cards = 5 yellow. 3 blue and 7 red = 15 cards in all.
The probability of choosing a yellow card first is 5/15 = 1/3.
We are now down to 14 cards
There are 3 blue cards.
P(yellow then blue) = 1/3 * 3/14
P(yellow then blue) = 1/14 = 0.0714
Expand and simplify 2(3x - 4) - 2(x - 5)
Answer:
(6x-8)-(-2x-10)
4x-18
Find the slope of the line through each pair of points
Answer:
Step-by-step explanation:
3) m=(y2-y1)/(x2-x1)
m=(-3-(-15))/(-4-11)
m=(-3+15)/-15
m=12/-15
simplify
m=-4/5
Answer: -4/5
-----------------------
5) m=(y2-y1)/(x2-x1)
m=(12-(-11))/(15-12)
m=(12+11)/3
m=23/3
Answer: 23/3
Please mark me as Brainliest if you're satisfied with the answer.
V
What is the distance between (2, 6) and (7, 6)?
9
7.6)
2
LP
6
X
2
6
2 units
5 units
7 units
Answer:
The answer to the question provided is 5 units.
There are 10 sweets in a bag. 4 are red, 2 are green, 3 are yellow and 1 is purple. A sweet is chosen at random from the bag. Here is a probability scale:
a) which letter shows the probability of choosing a yellow sweet?.
Answer: 3 / 10
Step-by-step explanation:
It's a 30% chance.
Answer:
I dont know the probability scale letters, but the probability of getting a yellow sweet would be 3/10, 0.3, or 30% (they all say the same thing just different ways)
Hope this helps :)
Step-by-step explanation:
Find out the type of curve : 164² + 204 = 164-4x² - 4xy-4 2) Express the equation 2²=X² +xy" in Parametric form.
The equation 164² + 204 = 164-4x² - 4xy-4 represents a conic section known as an ellipse.
The given equation can be rewritten as 164² + 204 + 4x² + 4xy - 164 = 0 by rearranging the terms. Simplifying further, we have 4x² + 4xy + (164² - 164) + 204 = 0.
Comparing this equation with the general form of an ellipse, Ax² + Bxy + Cy² + Dx + Ey + F = 0, we can identify A = 4, B = 4, and C = 0. Since B² - 4AC = 4² - 4(4)(0) = 16 - 0 = 16 > 0, we can conclude that the given equation represents an ellipse.
To express the equation 2² = X² + xy in parametric form:
Let's introduce two new variables, u and v, which will be our parameters. We can express x and y in terms of u and v.
From the given equation, we have:
2² = X² + xy
Substituting x = u and y = v, we get:
2² = u² + uv
Now, we can express x and y in terms of u and v:
x = u
y = 2 - uv
Therefore, the parametric form of the equation 2² = X² + xy is:
x = u
y = 2 - uv
In this parametric form, we can choose various values for u and v to obtain different points on the curve represented by the equation.
To know more about parametric equations, refer here: https://brainly.com/question/29275326#
#SPJ11
5/3(4x+12) in distributive property
Answer:
5/3 ( 4 + 12 ) = 5/3 * 4 + 5/3 * 12
Step-by-step explanation:
a ( b + c ) = a b + a c
3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)
Answer:
-25
Step-by-step explanation:
3xdegree+20degree=2xdegree-5degree sorry there is no degree sign so wrote the spelling of degree and x(it is x)
We are to find x
3x + 20 = 2x - 5
Collect like terms
3x - 2x = -5 - 20
x = -25
in studies for a medication, percent of patients gained weight as a side effect. suppose patients are randomly selected. use the normal approximation to the binomial to approximate the probability that (a) exactly patients will gain weight as a side effect. (b) no more than patients will gain weight as a side effect. (c) at least patients will gain weight as a side effect. what does this result suggest?
The normal approximation is used to estimate probabilities in a medication study for weight gain as a side effect, providing insights into specific outcomes.
To approximate the probabilities using the normal approximation to the binomial, we need to know the success probability (percent of patients gaining weight) and the number of patients involved in the study. Let's denote the success probability as p and the number of patients as n.
(a) To calculate the probability that exactly k patients will gain weight, we can use the formula for the binomial distribution:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
However, since we are using the normal approximation, we can approximate it as:
P(X = k) ≈ P(k - 0.5 < X < k + 0.5)
(b) To calculate the probability that no more than k patients will gain weight, we can sum the probabilities from 0 to k:
P(X ≤ k) ≈ P(0.5 < X < k + 0.5)
(c) To calculate the probability that at least k patients will gain weight, we can subtract the probability of the complement event (less than k patients) from 1:
P(X ≥ k) ≈ 1 - P(X < k + 0.5)
These approximations rely on the assumption that n is sufficiently large and that p is not too close to 0 or 1. The result suggests that we can estimate the probabilities of specific outcomes in the medication study using the normal distribution, providing an approximate understanding of the likelihood of different scenarios.
To learn more about probabilities visit:
https://brainly.com/question/13604758
#SPJ11
Multiply and simplify if possible. (2sqrt3x -2)(3sqrt3x +5)
show work
The expression is simplified to give 2(9x + 2√3x - 5)
How to determine the valueFirst, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms
From the information given, we have that;
(2√3x - 2)(3√3x + 5)
expand the bracket, we get;
6√9x² + 5(2√3x) - 6√3x - 10
Find the square root factor
6(3x) + 10√3x - 6√3x - 10
collect the like terms, we have;
18x + 4√3x - 10
Factorize the expression, we have;
2(9x + 2√3x - 5)
Learn more about surds at: https://brainly.com/question/840021
#SPJ1
6. Use the facts and graph below to write the equation for g(x).
FACTS
This graph shows g(x).
It looks like the graph of the parent function f(x) = x2. However:
It has been reflected (flipped) over the x-axis.
It has been shifted down 4 units.
It has been shifted left 1 unit.
Graph g of x depicts downward opening parabola on a coordinate plane. Vertex is at (negative 1, negative 4) with left slope in quadrant 3, and the right slope in quadrant 4 passing through (0, negative 5) on Y-axis.
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis. (2 points)
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units. (2 points)
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit. (2 points)
Using translation concepts, the equation of F(x) is -3(x + 1)² - 4.
WE know that the translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The effect of the transformations on G(x) = x² is given :
Reflection over the x-axis:
F(x) = -G(x) = -x².
Vertical stretch by a factor of 3 then we get;
F(x) = -3G(x) = -3x².
Then Shift down of 4 units:
F(x) = -3G(x) - 4 = -3x² - 4.
Shift left of 1 units:
F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
To know more about proportional savings, refer here:
https://brainly.com/question/29251832#
#SPJ11
A new car is purchased for 18,000 dollars. The value of the car depreciates at 11.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
Answer:
Step-by-step explanation:
The exponential decay function is
\(v(t)=a(b)^t\) where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:
\(v(t)=18000(.885)^t\) and we sub in 10 for t:
\(v(t)=18000(.885)^{10\) which simplifies to
v(t) = 18000(.2947356754) so
v(t) = 5305.24
X+50>6(x+10)
what is the step by step explanation and answer to this equation ?
Answer:
x < -2
Step-by-step explanation:
x + 50 > 6(x + 10)
x + 50 > 6x + 60
x - 6x > 60 - 50
-5x > 10
-x > 10/5
-x > 2
x < -2
Explain how adding -3/10 + 4/10 is like adding -3 + 4
Answer:
is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.
Step-by-step explanation:
don´t forget to brainllest!:)
(the diagram showing parts of the floor plan of a low cost house which will be bought by Michael. find the perimeter of the living area, rest area and family area)
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
\(46cm\)
Step-by-step explanation:
\(5+2.5+2.5+2.5+4+(9-2.5) +(4+2.5) + 2.5 +5+9
=46\)
Hope this helps
Is there supposed to be a picture or something? I don't see anything.
The length, breadth and height of a cuboid are 20 cm, 15 cm, 10 cm respectively. Find its total surface area.
The total surface area of the cuboid is 1,300cm²
How to find the surface area?For a cuboid of length L, breadth B, and height H, the total surface area is:
SA = 2*(L*B + L*H + H*B)
Here we know that:
L = 20cm
B = 15cm
H = 10cm
Replacing that in the surface area formula we will get:
SA = 2*(20cm*15cm + 20cm*10cm + 15cm*10cm)
SA = 1,300cm²
That is the total surface area of the cuboid.
Learn more about surface area at:
https://brainly.com/question/16519513
#SPJ4
Josiah claims that the ordered pair (6,-10) can be replaced with any ordered pair and the set will still represent a function. Select all ordered pairs that could be used to show that this claim is incorrect
Complete Question:
{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)} Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function. Select all ordered pairs that could be used to show that this claim is incorrect.
A. (–10, –10)
B. (–9, –6)
C. (–5, 1)
D. (1, 12)
E. (4, 7)
Answer:
\(B.\ (-9, -6)\)
\(C.\ (-5, 1)\)
\(D.\ (1, 12)\)
Step-by-step explanation:
A relation is represented as:
\(R->\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}\)
Where
\(x = domain\)
\(y = range\)
For a relation to be a function, the domain must be unique and must not be repeated.
In the given function,
\(\{(-9, 1), (-5, 2), (0, 7), (1, 3), (6, -10)\}\)
The domains are \(\{-9,-5,0,1,6\}\)
So, if (6,-10) is to be replaced;
The domain of the ordered pair that will replace it must not be any of \(\{-9,-5,0,1,6\}\)
From the list of given options:
\(B.\ (-9, -6)\)
\(C.\ (-5, 1)\)
\(D.\ (1, 12)\)
The above can not replace (6,-10) because their domain exist already.
Rebecca
pays $3.50 per gallon for 12 gallons of gas.
How much did Rebecca pay in all for the gas?
Answer:
3.50 × 12 = 42
Therefore, she spent 42 dollars.
(PLS HELP NOW WILL GIVE BRINIEST!!!!!) A figure is formed by two pairs of parallel sides that are the same length. Which type of figure is it?
A.
hexagon
B.
square
C.
pentagon
D.
triangle
Answer: B. Square
Step-by-step explanation:
All sides of a square have the same lengthAll four angles of a square = 90°A square has two parallel sides
The answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _
_
- Chilio
if 11600 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
The compound interest after 5 years is $7,081.916.
Compound interest:
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Here we have to find the interest earned after 5 years.
Data given:
Principle (P) = $11600
rate(r) = 10%
time(t) = 5 years.
Formula to find compound interest:
CI = P( 1 + r/100\()^{t}\) - P
Now put the values in the formula.
CI = 11600 ( 1 + 10/100\()^{5}\) - 11600
= 18681.916 - 11600
= 7081.916
Therefore the compound interest is $7081.916.
To know more about compound interest refer to the link given below:
https://brainly.com/question/12325365
#SPJ4
Some one help please fast help ASAP
Answer: (x, y) --> (x, -y)
Step-by-step explanation:
This is a reflection over the x-axis so its only the y-intercept that changes.
Answer:
its a reflection
Step-by-step explanation:
If it were a rotation, it wouldnt have overlapped.
If it were a translation, It would have been the wrong way up and not overlapping.
When reflected over line x, it will overlap because it stays rigid and does not change shape or size.
hope this helps :)
Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter.
Item Bank: Blue graph | Green graph | Red graph | Table 1 | Table 2 | Table 3
Linear | Non-Linear
Answer:
Non-linear: red graph, table 3, table 1
Linear: blue graph, green graph, table 2
Step-by-step explanation:
The blue and green lines are straight lines, so they are linear. The red line is curved, so that is nonlinear.
I plotted out the data from each table on a graph. Tables 1 and 3 both curve when the points are connected, and table 2’s points form a straight line when connected. I am sure there is a mathematical formula to use on these tables, so the drawing wouldn’t have been required. But I knew this would at least get the answers.
Hope it helped.
suppose a frequency distribution has the following consecutive classes: $20 up to $30 $30 up to $40 $40 up to $50 what is the class midpoint for the first class?
Answer:25
Step-by-step explanation:
the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.
The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.
To know more about standard deviation:
https://brainly.com/question/23907081
#SPJ4
6) A 6-ounce bottle of medicine contains 36 doses. How many doses are in a 15-ounce bottle of the same medicine?
A 15-ounce bottle of the same medicine contains 90 doses.
Unitary method:The unitary method is a method used to solve problems related to proportionality. It involves finding the value of a single unit or the value of a given quantity when the value of one or more units is known.
In the given problem, we will find the number of doses in 1 unit from that will find the number of doses in a 15-ounce bottle.
Here we have
A 6-ounce bottle of medicine contains 36 doses.
Number of doses in a 1-ounce bottle
= 36/6 = 6 doses
Then the number of doses in a 15-ounce bottle of medicine
= 15 × Number of doses in 1 ounce
= 15 × 6
= 90
Therefore,
A 15-ounce bottle of the same medicine contains 90 doses.
Learn more about Unitary method at
https://brainly.com/question/22056199
#SPJ1
how can we express the area of the rectangle in terms of the variable x?
The area of the Rectangle, in terms of the variable x, is given by the expression x^2.
To express the area of a rectangle in terms of the variable x, we first need to understand the properties of a rectangle. A rectangle is a quadrilateral with four right angles, where opposite sides are congruent. The formula for the area of a rectangle is given by multiplying the length and width of the rectangle.
Let's assume the length of the rectangle is L and the width is W. Since a rectangle has opposite sides that are congruent, we can express these sides in terms of x as follows:
Length: L = x
Width: W = x
Now, we can calculate the area A of the rectangle using the formula A = L × W:
A = x × x
A = x^2
Therefore, the area of the rectangle, in terms of the variable x, is given by the expression x^2.
this expression holds true for any rectangle where the length and width are equal to x. If you are referring to a specific rectangle or situation.
For more questions on Rectangle.
https://brainly.com/question/25292087
#SPJ8