Fred played golf and for the past 5 times had a score of 82, 79, 83, 71, and 80. What was his average score?
Can anyone help me with this math problem???
Choose the correct sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 + 3x − 6 2x3 + 3x − 3
Answer:
[tex]6x^3+3x -6[/tex]
Step-by-step explanation:
(4x3 − 2x − 9) + (2x3 + 5x + 3)
[tex](4x^3 - 2x - 9) + (2x^3 + 5x + 3)[/tex]
To add two polynomials, we remove the parenthesis
[tex]4x^3 - 2x - 9+2x^3 + 5x + 3[/tex]
To add it , we combine like terms. we add the like terms
[tex]4x^3+2x^3- 2x+ 5x - 9+ 3[/tex]
[tex]6x^3+3x -6[/tex]
2.4 + 5.4q – 4.5q + 3.6
a.6+1.1q
b.9.9q+6
c.0.9q+6
d.9.9q-6
Answer:
c!
Step-by-step explanation:
i did the test loll <3
The bear population increases at a rate of 3% each year. There are 1462 bears this year. How many bears will there be in 10 years?
Final answer:
The bear population will be approximately 1965 bears in 10 years.
Explanation:
To calculate the bear population in 10 years, we can use the formula for exponential growth:
P = P₀(1 + r)ⁿ
Where:
P is the final population
P₀ is the initial population
r is the growth rate as a decimal
n is the number of years
In this case, the initial population (P₀) is 1462, the growth rate (r) is 3% (0.03), and the number of years (n) is 10. Plugging these values into the formula, we get:
P = 1462(1 + 0.03)¹⁰ ≈ 1965.32
Therefore, there will be approximately 1965 bears in 10 years.
Please help ASAP!!! 42 points and will mark brainliest for RIGHT answer!!!
The function h(x)=x^2+3 and g(x)=x^2-6.If g(x)=h(x)+k, what is the value of k
Answer:
g(x) = (x – 9 )2 + -8
Step-by-step explanation:
Which expression represents the sum of (2x-5y) and (x+y)?
A. 3x-4y
B.3x-6y
C.x-4y
Dx-6y
A sample of n = 6 scores has a mean of m = 5. one person with a score of x = 12 is added to the distribution. what is the mean for the new set of scores?
Final answer:
To calculate the new mean after adding a score of 12 to the original 6 scores with a mean of 5, determine the total sum of the original scores, add 12, and divide by the new number of scores. The new mean for the 7 scores is 6.
Explanation:
To find the new mean when one person with a score of x = 12 is added to a sample of n = 6 scores with a current mean of m = 5, first calculate the total sum of the scores before the new score is added. This can be done by multiplying the mean by the number of scores. Then add the new score to this total and divide by the new number of scores.
Calculate the total sum of the original scores: Total sum = mean × number of scores = 5 × 6 = 30.Add the new score to the total sum: New total sum = 30 + 12 = 42.Calculate the new mean by dividing the new total sum by the new number of scores: New mean = New total sum ÷ new number of scores = 42 ÷ 7 = 6.So, the mean for the new set of scores is 6.
a) Explain...
b) What is the probability that a person without HIV will have a test come out positive?
c) What is the probability that a person with HIV will have a test come out negative?
d) What is the probability that a person with HIV will have a test come out positive?
a) The cell corresponding to a positive diagnosis when the
person has antibodies present as well as the cell for a negative diagnosis when
the person has no antibodies present are the cells representing a CORRECT
diagnosis.
The cell corresponding to a negative diagnosis when you
actually have antibodies present is called a FALSE NEGATIVE and is considered
as a TYPE II error.
The cell corresponding to a positive diagnosis when you
actually don't have antibodies present is called a FALSE POSITIVE and is considered
as a TYPE I error.
For the tree diagram for the questions below, refer to the
picture attached.
b) To know the probability that a person without HIV will be diagnosed positive (false positive), we just trace the tree diagram from population to "antibodies not present" to "positive". The tree diagram will give us a value of 0.00588.
ANSWER: The probability of a false positive is 0.00588 or 0.588%.
c) We do the same thing as the previous subproblem to determine the probability that a person with HIV will be diagnosed as negative. We trace the tree diagram from population to "antibodies present" to "negative". The tree diagram will give us a value of 0.003.
ANSWER: The probability of a false negative is 0.003 or 0.3%.
d) Same thing for this subproblem. We trace the tree diagram from population to "antibodies present" to "positive" to know that the value is 0.01997.
ANSWER: The probability that a person with HIV will be diagnosed as positive is 0.01997 or 1.997%.
Which of the following is the solution of 5e^2x-4=11
You are going to movies friday night (not a matinee). which of the theaters will cost the least, if you intend to have soda and popcorn? theater a theater b theater c adults $6.25 $7.25 $5.25 children $3.50 $3.75 $4.25 soda $2.00 $2.00 $2.50 popcorn $2.50 $2.00 $2.50
Theater C is the least expensive option for an adult going to the movies on Friday night with the cost of tickets, soda, and popcorn totaling $10.25.
To find out which theater will cost the least for a movie on Friday night including soda and popcorn, we need to calculate the total cost for each theater and then compare the costs. Let's assume you are an adult going to the movie.
Theater A: Movie ($6.25) + Soda ($2.00) + Popcorn ($2.50) = $6.25 + $2.00 + $2.50 = $10.75Theater B: Movie ($7.25) + Soda ($2.00) + Popcorn ($2.00) = $7.25 + $2.00 + $2.00 = $11.25Theater C: Movie ($5.25) + Soda ($2.50) + Popcorn ($2.50) = $5.25 + $2.50 + $2.50 = $10.25Comparing the total costs, Theater C has the lowest cost at $10.25.
helpp me pleasweeee?!??!!
Which logarithmic equation is equivalent to the exponential equation below?
4c = 256
A. log256 c = 4
B. logc 256 = 4
C. log4 c = 256
D. log4 256 = c
The logarithmic equation is equivalent to the exponential equation is [tex]log_4[/tex] 256 = c
The correct option is (D).
What is Logarithm Function?Logarithms are useful for solving exponential equations and investigating the properties of exponential functions. They will also be incredibly useful in calculus, where they will be used to compute the slope of various functions and the area circumscribed by various curves.
Given:
[tex]4^c[/tex] = 256
Now, writing into Logarithmic Function we can write it as
[tex]log_4[/tex] 256 = c
If we further solve it we get
256 = [tex]4^c[/tex] (log become exponential we move from either side of Equal Sign.)
Learn more about Logarithm Function here:
https://brainly.com/question/3181916
#SPJ5
PLEASE SOMEONE HELP ON THIS !!!
BRAINLIEST WILL BE GIVEN TO CORRECT ANSWER
TRY TO EXPLAIN IT....
What is the range of the function graphed below?
Which of the following interpretations for the given expression is correct?
the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y
the difference of the cube of 5 times the square of y and 7 divided by 2 times the square of y
the cube of the difference of the square of 5 times y and 7 divided by the square of 2 times y
the cube of the difference of 5 times the square of y and 7 divided by 2 times the square of y
Answer:
The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.Step-by-step explanation:
The give expression is:
[tex]\frac{(5y^{2}-7)^{3} }{(2y)^{2} }[/tex]
In words, this expression would have all these statement referring to each operation:
The cube of the difference, because the difference is inside the cubic power.Of 5 times the square of y and 7, because these are the terms that are being subtracted.Divided by, because the expression described before is in a quotient.The square of two times y, because the both factor are inside the squared power.Therefore, the first statement is correct.
An airline requires carry on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?
30 pounds is available to fill the suitcase with other items.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
An airline requires carry on luggage to weigh at most 40 pounds.
The Suitcase presently carry 10 pounds.
Let p be the pound available to fill your suitcase with other items.
So, p= 40- 10
p = 30 pounds
Hence, 30 pounds is available to fill the suitcase with other items.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ5
Look at the picture below // 99 points // PLEASEE HELPP
(-9,17); slope= -4/3
An equation of the line in slope-intercept form that passes through the point (-9, 17) and has a slope of -4/3 is y = -4x/3 + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (-9, 17) and a slope of -4/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 17 = -4/3(x - (-9))
y - 17 = -4x/3 - 12
y = -4x/3 - 12 + 17
y = -4x/3 + 5
Read more on point-slope here: brainly.com/question/24907633
#SPJ3
Complete Question:
Write an equation in slope-intercept form of the line that passes through the point (-9,17) and had a slope of -4/3.
A nautical mile is a unit of distance frequently used in ocean navigation. It is defined as the length of an arc s along a great circle on the earth when the subtending angle has measure 1' = "one minute" = 1/60 of one degree. Assume the radius of the earth is 3,960 miles.
Find the length of one nautical mile to the nearest 10 feet.
The value of one nautical mile to the nearest feet is [tex]\boxed{6080{\text{ feet}}}[/tex].
Further Explanation:
The arc, radius and the angle are related to each other.
The angle can be obtained as the ratio of an arc of the circle to the radius of the circle.
The formula for the angle can be expressed as,
[tex]\boxed{{\text{Angle = }}\frac{{{\text{length of an arc}}}}{{{\text{radius of circle}}}}}[/tex]
The length of an arc can be obtained as,
[tex]\boxed{{\text{Length of an arc}}=\left({{\text{radius}}\times{\text{angle}}}\right)}[/tex]
Given:
The angle is one minute represented by 1'.
One minute is equal to [tex]{\left({\frac{1}{{60}}}\right)^\circ}[/tex].
The radius of earth is 3960 miles.
Explanation:
One mile is equal to 5280 feet.
[tex]\boxed{1{\text{ mile}}=5280{\text{ feet}}}[/tex].
The radius in feet can be expressed as follows,
[tex]\begin{aligned}Radius&=3960\times5820\\&=20908800{\text{ feet}}\\\end{aligned}[/tex]
Convert the angle into radian.
[tex]\boxed{1{\text{ degree}} = \frac{\pi }{{180}}{\text{ radian}}}[/tex]
The value of [tex]\frac{1}{{{{60}^ \circ }}}[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Angle}}&=\frac{1}{{60}}\times\frac{\pi }{{180}}\\&=\frac{\pi }{{10800}}\\\end{aligned}[/tex]
The length of an arc of the earth can be obtained as follows,
[tex]\begin{aligned}{\text{length of an arc}}&=20908800\times\frac{\pi }{{10800}}\\&=6080{\text{ feet}}\\\end{aligned}[/tex]
Learn more:
1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Unit and Measurement
Keywords: Nautical mile, unit distance, earth, radius of earth, great circle, one degree, length of nautical unit, feet.
please help 1.Bryce started with $450 in a bank account that does not earn interest. In the middle of every month, he withdraws 1/2 of the account balance. Which recursive function rule models Bryce’s balance at the end of each month?
Using the figure below, select the two pairs of alternate interior angles.
1 and 4
2 and 3
6 and 7
5 and 8
Answer
Options second and third
Reason
From the figure we get l and m are two parallel lines and t is the traversal.
There are two pairs of alternate interior angles
The pairs of alternate interior angles are equal
pairs of alternate interior angles
2 and 3
6 and 7
Similarly there are alternate exterior angles are there. Other two options are alternate exterior angles
15) Which equation does not represent a function?
A) y = 2x + 3
B) x = 4y + 7
C) 6x - 5y = 8
D) y2 = -5x - 8
helppppppppppppppppppppppppppppppppppp
Solve the inequality.
–12m < –24
Write an equation for the line that is parallel to the given line and that passes through the given point.
y =3/4 x – 9; (–8, –18)
To write an equation for a line that is parallel to a given line and passes through a given point, use the point-slope form of the linear equation. The slope of the parallel line is equal to the slope of the given line. Plug in the values and simplify to get the equation.
Explanation:To find an equation for a line that is parallel to the given line and passes through the given point, we need to use the fact that parallel lines have the same slope. The slope of the given line is 3/4, so the slope of the parallel line will also be 3/4. Using the point-slope form of a linear equation, we can write the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope. Plugging in the values, we get:
y - (-18) = 3/4(x - (-8))
Simplifying the equation gives:
y + 18 = 3/4(x + 8)
Next, we can distribute the 3/4 to both terms in the parentheses:
y + 18 = 3/4x + 6
To isolate y, we subtract 18 from both sides:
y = 3/4x - 12
Learn more about the Equation of a Parallel Line here:https://brainly.com/question/402319
#SPJ11
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
Answer:
Option A. AB || DC
Step-by-step explanation:
In the given picture measurement of angle 2 = measurement of angle A
or m∠2 = m∠A (opposite angles)
This only possible only when m∠A = m∠2 = m∠C (Corresponding angles)
If these angles are equal then two lines AB and DC are parallel and two transverse AB and DC are intersecting them.
Therefore option A. AB || DC is the answer.
look at the question below // 50 points // please help!!
Hi there!
I believe your answer is A. Asymptote. It wouldn't be focus or axis, those just don't make sense. This means it could be either asymptote or directrix. Directrix is a fixed line describing a curve or surface. An asymptote is a line that continually approaches a given curve but does not meet it at any finite surface. Therefore, your answer is asymptote.
Hope this helps!
- Chris
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft2 . find the dimensions of the rectangle.
The rectangle has a width of approximately 4.18ft and a length of approximately 7.55ft. These are obtained by setting up and solving a system of equations based on the given information.
Explanation:Let's start by setting up equations based on the problem statement. Let's denote the width of the rectangle as
w and the length as l. From the problem, we know two things: one is that the length is 5 feet less than three times the width, which can be written as l = 3w - 5. The second thing we know is that the area of the rectangle, which is obtained by multiplying the length by the width, is 28 square feet, written as l*w = 28 . By substituting the first equation into the second, we can solve for w: (3w - 5)*w = 28
. This simplifies to a quadratic equation 3w^2 - 5w - 28 = 0 which can be solved to give w=~4.18 ft and w=-2.02ft. Because the width cannot be negative, we discard the second solution. Substituting w=~4.18ft into l = 3w -5 gives
l=~7.55 ft . Therefore, the dimensions of the rectangle are approximately 4.18ft (width) and 7.55ft (length).
Learn more about Algebra here:https://brainly.com/question/32436021
#SPJ2