Answer:
y= 4x + 80
Step-by-step explanation:
the variable that keeps adding up for example if you keep watching movies it'll add up is always the x
Find AB, BC, and AC
The length of line segment AC is 8x-9. Use the figure above to find the value of x Show
your work.
Verify the identity.
sin (x + y) - sin (x - y) = 2 cos x sin y
Answer:
Step-by-step explanation:
The United States has one of the lowest rates of cell phone usage in the industrialized world, at 85 cell phones per 100 people. (By contrast, Hong Kong has around 140 cell phones per 100 people.) If the U.S. population is about 302 million, what is the order of magnitude of cell phone use in the United States?Group of answer choices10^610^810^710^5
Answer:
\(10^8\)Step-by-step explanation:
An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation.
Therefore, if for 100 people 85 of them have cell phones, for 302 million:
\(\begin{gathered} \frac{85}{100}=\frac{x}{302000000} \\ x=\frac{302000000*85}{100} \\ x=256,700,000 \end{gathered}\)The number written in scientific notation is:
\(x=2.567\times10^8\)So its order of magnitude 8.
25,714.28571428571 to 2DP
Suppose we want to choose 2 objects, without replacement, from the 4objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
(b) How many ways can this be done, if the order of the choices is not relevant?
a. The number of ways that this is done, if the order of the choices is relevant is 12 ways.
b. The number of ways that this be done, if the order of the choices is irrelevant is 6 ways
What is combination?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula
= n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
When the orders are relevant, this will be:
= 4! / (4 - 2!)
= 4! / 2!
= 12
When orders are irrelevant, this will be:
= 4! / (4 - 2!)2!
= 6 ways
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Use the drop down menus to complete the statement to match the information shown by the graph
Hasan travels
at the same speed asAnneliese because the
slopeof Hasan's graph is
equal tothat of Anneliese's graph.
The
slopeof the graph tells you the unit rate is in
meters per minutersElli left home8:30 and returned at 1:25how long was she away from home?
Answer:
3 hours and 45 minutes assuming its from am to pm
Step-by-step explanation:
Hope This Helps
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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Please answer this question for me
A counterexample to the statement given in this problem is:
Three colinear points.
How to obtain the counter example on this problem?The statement for this problem is given as follows:
You can connect any three points to form a triangle.
This statement is false, as for example, three points on a line do not form a function.
The counterexample is the statement that proves that a conjecture(another statement) is false, hence the first option is the correct option in the context of this problem.
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or
Look at this diagram:
M
N
O
P
Q
R
S
T
If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?
If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.
What is parallel line?Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.
Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.
Since NP and QS are parallel lines, we have:
∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)
Also, the alternate interior angles NOM and POM are equal, so:
∠NOM = ∠POM
Substituting this into the first equation gives:
∠POM + ∠MOP = 180°
We can now solve for ∠POM by substituting the given value:
130° + ∠POM = 180°
∠POM = 50°
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What is the probability that a random sample of 50 individuals shows an average annual income of at least $50,000? Select the parameters of the distribution to calculate the probability:
Answer:
E(x), σx
Step-by-step explanation:
We have to x be their average annual income we need to find p ( x => 50000)
To find this probability we need E(x), σx
For we find p ( x => 50000) we find the z value for 50000, ie the # of standart deviations that 50000 is away form E(x)
z = (x - E(x)/σx)
now p ( x => 50000) = p (z => (x - E(x)/σx )
hence we can say that, to find p ( x => 50000) we need the parameters E(x), σx
Find the slope determined by the following pair of points.
(-2, 1),(-3/2,1/4)
Answer:
3
Step-by-step explanation:
Y2-Y1/X1-X2 JUST SUBSTITUTE THE VALUES
Use the information below to find the value of x. Explain your steps.
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
The graph of f(x) = x2 was transformed tu
create the graph of d(x) = f(x) + 9. Which of
the following attributes will be the same for the
graphs f(x) and d(x)?
1. the domain
11. the range
III. the axis of symmetry
Answer:
i: the domain.
iii: the axis of symmetry.
Step-by-step explanation:
We have the function:
f(x) = x^2
The domain of this function is the set of all real numbers, and the range is:
R: [0, ∞)
(because 0 is the minimum of x^2)
Now we have the transformation:
d(x) = f(x) + 9 = x^2 + 9
Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.
Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.
And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:
d(0) = 0^2 + 9 = 9
Then the range is:
R: [9, ∞)
Then the range changes.
So we can conclude that the attributes that will be the same for f(x) and d(x) are:
i: the domain.
iii: the axis of symmetry.
Who is the owner of the Federal Reserve?
Answer:
The Federal Reserve System is not owned by anyone. The Federal Reserve was created in 1913 by the Federal Reserve Act to serve as the nation's central bank. The Board of Governors in Washington, D.C., is an agency of the federal government and reports to and is directly accountable to the Congress
Now find another real world example (it can be a similar range problem). Graph it on a number line, and then explain the minimum and maximum of the range. Write it as an absolute value and using what you have learned about solving absolute values, demonstrate that your equation is represented by the graph.
The real world example for the absolute value are to express the change in balance of account.
How to use absolute value in real world problem?
Absolute value in real world problem is used to express the change or variation from one point to another point. In the absolute value, the sign of the number is not consideredd.
Let a real world example-
Everyone is going with 20 km/h and a person x is going with 15 km/h.The person x has most likely to get the token as the difference between his speed and public speed is 5 km/h.The sign of the number is not considered, whether it is +5 or -5 it is the difference of 5 km/h.The number line for this absolute value is plotted below.The real world example for the absolute value are to express the change in balance of account.
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Rewrite the following without an exponent.
Answer:
5/6
Step-by-step explanation:
You just need to turn the denominator and numerator's positions upside down.
Determine the domain and range of the quadratic function. \(f(x)=2x^{2}-4x+2\)
The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.
To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.
The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.
The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].
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PLEASE HELP IM ON A TIME LIMIT!!!
Answer:
i answered the other question like this check your other question for the answerrs
Step-by-step explanation:
Given that f(x)=x2−9x and g(x)=x+1, find
The value of the functions are,
f + g = x² - 8x + 1
f - g = x² - 10x - 1
fg = x³-8x²-9x
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given functions are f(x) = x² − 9x and g(x) = x + 1. The values will be calculated as,
f + g = x² − 9x + x + 1
f + g = x² − 8x + 1
f - g = x² − 9x - x - 1
f - g = x² − 10x - 1
f x g = (x² − 9x) x (x + 1)
f x g = (x³ +x ² - 9x² -9x)
f x g = x³ - 8x² - 9x
Therefore, the value of the functions are, f + g = x² - 8x + 1, f - g = x² - 10x - 1, and fg = x³-8x²-9x.
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What is the solution of this equation?
-1/2 n2 + 18 = 0
Please help
Answer:
Step-by-step explanation:
To solve the equation:
-1/2 n^2 + 18 = 0
We can start by isolating the variable term by subtracting 18 from both sides of the equation:
-1/2 n^2 = -18
Then, we can multiply both sides by -2 to eliminate the fraction:
n^2 = 36
Taking the square root of both sides, we get:
n = ±6
Therefore, the solution to the equation -1/2 n^2 + 18 = 0 is n = ±6.
Answer:
n= -6 or 6
Step-by-step explanation:
\(-1/2n^{2}+18=0\)
first subtract 18 from both sides
now we have
\(-1/2n^{2}=-18\)
next multiply both sides by 2
now we have
\(-1 n^{2} =-36\)
next multiply both sides by -1
now we have
\(n^{2}=36\)
now square root both sides
\(n=\sqrt 36\)
n=±6
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answer:
20 hours Have a nice day
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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Is the following number, rational, irrational, or nonreal?
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
What is the mode of the following distribution: 8, 6, 5, 4, 1, 5, 3?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5 repeats twice
Type 7.2e-4 as a floating-point literal but not using scientific notation, with a single digit before and five digits after the decimal point.
Answer:
A
Step-by-step explanation:i did the test
The value of the floating point number is A = 0.00072
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 7.2e⁻⁴
On simplifying the equation , we get
A = 7.2 x 10⁻⁴
The value of the decimal point is moved 4 units to the left , so
The number A is A = 0.00072
Hence , the floating point number is A = 0.00072
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The four cases in which we can solve a triangle are ASA SSA SAS SSS. (a) In which of these cases can we use the Law of Sines to solve the triangle? (Select all that apply.) ASA SSA SAS SSS (b) Which of the cases listed can lead to more than one solution (the ambiguous case)? (Select all that apply.) ASA SSA SAS SSS Use the Law of Sines to find the indicated side x. (Assume a = 310.) x =
The required answers for part (a) and (b) are ASA, SAS and SSS and the value of x is 262.80 units.
What is the law of sines?The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.
It can be written a/SinA = b/SinB = c/SinC.
The given problem can be solved as,
(a) In order to apply law of sines at least one angle should be known.
In ASA and SAS this criteria is justified.
(b) When none of the angles are given, there can be more than one solution.
Which implies the case of SSS.
(c) In the given triangle angle ∠C can be found as,
⇒∠C = 180 - (98.4 + 24.6) = 57°.
Now apply the law of sines to obtain x as follows,
x/sin(57°) = a/sin(98.4°)
The value of a is given as 310.
⇒ x/sin(57°) = 310/sin(98.4°)
⇒ x = 262.80.
Hence, the value of x is found as 262.80 units.
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The missing diagram of the triangle is attached here.
Helppppppp will give brainiest to first right answer
Answer:
1 degrees F
Step-by-step explanation:
-3+12-6=3
3/3 = 1
1 degrees F
:]
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points