Answer:The correct anserw is f(x=-8
Step-by-step explanation:
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent
Elyse can select from one of 960 cities or a combination of them. if Elyse decides to purchase a round-the-world ticket. From each of the continents she will travel, she will only get to view one city.
Define combinations and permutations.In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.
Given,
Elyse is planning to purchase a round-the-world flight. From each of the continents she will travel, she will only get to view one city. The continents she will visit and the number of cities she can visit are displayed in the table below. There are options for every continent.
We utilize permutations and combinations to calculate the number of alternatives Elyse will have.
For every 10 cities in Europe, she can choose from any of the eight cities in Asia. For every eight cities in Asia, she can choose any of the four in Africa. Africa and Australia share a similar situation.
Elyse can select one of these total:
10×8×4×3
960
Elyse can choose one of 960 cities or a combination of them.
To learn more about permutation and combination, visit:
https://brainly.com/question/29594894
#SPJ1
What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
100 points and will mark brainliest
Answer:
The x-intercept is 40, which represents the number of monthly payments needed to repay the loan.
Step-by-step explanation:
The x-axis can be represented as y = $0, and in this graph y represents remaining balance. So, the x-intercept represents when no more money needs to be paid back on the loan.
Part B
Find the slope of the following graph and enter your result in the empty box.
100
90
80
70
60
50
40
30
20
10
0
Slope =
10 20 30 40
1
50 60 70 80 90 100
Step-by-step explanation:
Using the points [tex](40,20)[/tex] and [tex](50,50)[/tex], [tex]m=\frac{50-20}{50-40}=3[/tex]
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $6,000, annual interest: 6%, interest periods: 6, number of years: 18
The investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher.
What is compound interest?
Compound interest is a type of interest that is calculated on the initial principal of an investment as well as any accumulated interest. In other words, compound interest is interest that is earned on both the original principal and on the accumulated interest from previous periods.
To compare the investment you described to an investment of the same principal at the same rate compounded annually, we need to calculate the final value of each investment after 18 years.
For the investment you described, the final value can be calculated using the formula:
FV = P(1 + r/n)^(nt)
Where FV is the final value, P is the principal, r is the annual interest rate, n is the number of interest periods per year, and t is the number of years.
Plugging in the values given in the problem, we get:
FV = $6,000(1 + 0.06/6)^(6*18) = $6,000(1.01)^108 = $12,688.80
For the investment compounded annually, the final value can be calculated using the same formula, but with n = 1:
FV = $6,000(1 + 0.06/1)^(1*18) = $6,000(1.06)^18 = $15,848.75
Hence, the investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher. The difference in final value between the two investments is $15,848.75 - $12,688.80 = $3,159.95.
To learn more about compound interest, visit:
https://brainly.com/question/28020457
#SPJ1
whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -x - 3| +4
As x approaches negative infinity, h (x) approaches
As x approaches positive infinity, h (x) approaches
Answer:Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -x - 3| +4
As x approaches negative infinity, h (x) approaches
As x approaches positive infinity, h (x) approaches
Step-by-step explanation:
h(x) = -x - 3| +4 x311
Find −0.5D. with options [9 8] [-7 -4], [9 8] [14 8], [-18 -16] [7 4], [9 8] [7 4]
The evaluation of −0.5D of the matrix gives
[9 8]
[-7 -4]
How to determine -0.5D of the matrix?
A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
Given: the matrix
D = [-18 -16]
[14 8]
To find −0.5D, multiply every number in the matrix D by -−0.5. Thus:
−0.5D = −0.5 × [-18 -16]
[14 8]
−0.5D = [9 8]
[-7 -4]
Therefore, the 1st option is the answer
Learn more about matrices on:
brainly.com/question/11989522
#SPJ1
−36+x<8 whats is the x
Answer:
Therefore, the possible values of x are all numbers less than 8.
Step-by-step explanation:
To find the value of x, we need to isolate the variable on one side of the inequality.
To do this, we can subtract 36 from both sides of the inequality to get -36 + x < 8 - 36.
This simplifies to -36 + x < -28.
Next, we can add 36 to both sides to get x < -28 + 36, which simplifies to x < 8.
Therefore, the possible values of x are all numbers less than 8.
Answer:
Inequality Form:
x<44
Interval Notation:
(−∞,44)
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
Point B with coordinates (95, 71) is mapped onto B' through a translation by vector (2,-4). What are the coordinates of B'?
(91,73)
(93,75)
(97,67)
(99,69)
The translated coordinates of B is B'(97,69).
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given, point B with coordinates (95, 71) is mapped onto B' through a translation by vector (2,-4).
That means, the translation is 2 units right and 4 units down.
A positive number means moving to the right and a negative number means moving to the left.
The number at the second term represents up and down movement. A positive number means moving up, and a negative number means moving down.
So, B (95, 71) → B' (95 + 2, 73 -4)
B (95, 71) → B' (97, 69)
Therefore, the coordinates of B' is (97, 69).
To learn more about the translation in geometry;
https://brainly.com/question/2373420
#SPJ1
n baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?
a. Tasha, because she has the lowest ratio since 0.9 > 0.8
b. Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
c. Jana, because she has the lowest ratio since 0.9 > 0.8
d. Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
The player that has a ratio that means they have a better batting average is B. Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
How to illustrate the ratio?From the information Illustrated, the ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most.
For the season so far, Jana has hit the ball 12 times out of 15 attempts. This will be:
= 12/15
= 0.8
Tasha has hit the ball 9 times out of 10 attempts. This will be:
= 9/10
= 0.9
The player that has a ratio that means they have a better batting average is Tasha.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Does the following system have a unique solution? Why?
plot the image of triangle ABC under a reflection across line l
The image of the triangle ΔABC under a reflection across the line l can be obtained my making use of the laws of reflection, and the rules of a reflection transformation, to obtain the triangle ΔA'B'C', with vertices at A'(10, -5), B'(13, -6), and C'(12, -3)
Please find attached the plot of the image of the triangle ΔABC, created with MS Excel
What is a reflection transformation?A reflection transformation is one that forms a mirror image of the object across the line of reflection, such that lines joining corresponding points on the pre-image and the image are perpendicular to the line of reflection, and the corresponding points on the pre-image and the image are equidistant from the line of reflection.
Taking the coordinate of the vertices of the triangle ΔABC as A(10, 5), B(13, 6), C(12, 3), and the line l as coinciding with the x-axis, we get:
The coordinates of the image of a point (x, y) following a reflection about the x-axis is the point (x, -y)
Therefor, the coordinates of the vertices of the image of the triangle under a reflection across the line l are;
A'(10, -5), B(13, -6), C'(12, -3)Please find attached the plot of the image of the triangle ABC under a reflection, across line l, created with MS Excel.
Learn more about reflection transformation here:
https://brainly.com/question/2417374
#SPJ1
Lines h and j are parallel and cut by transversal k. What is the measure of angle x ?
A. 109°
B. 119°
C. 161°
D. 171°
The value of angle x is 161 degree. So the option B is correct.
In the given question, lines h and j are parallel and cut by transversal k.
We have to find the measure of angle x and choose the correct option.
The diagram of the given question is given below:
From the given diagram using the corresponding angle theorem
x = y
As we know that the angle of straight line is 180 degree.
So x+19 = 180
Subtract 19 on both side, we get;
x = 161 degree
Hence, the value of angle x is 161 degree. So the option B is correct.
To learn more about corresponding angle theorem link is here
brainly.com/question/6908856
#SPJ4
PLEASE HELP 15 POINTS I'M GIVING BRAINLIEST!!!
Answer:
sec^2(a) - sin(a)
Step-by-step explanation:
Hope it helps!
Answer:
Step-by-step explanation:the answer is (sin2 A+cos2)/cos A
tan A+cot A =? =sin A/cos A + cosA/sinA. = (sin^2 A+cos^2 A)/cos A.
The Green Goober, a wildly unpopular superhero, mixes
3 liters of yellow paint with
5 liters of blue paint to make
8 liters of special green paint for his costume.
Write an equation that relates
y the amount of yellow paint in liters, and
b the amount of blue paint in liters, needed to make the Green Goober's special green paint.
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of money raised from the
sale of tickets. How much money was raised if the fundraiser sold 249 adult tickets and 388 children's tickets?
Which decimal is equivalent to
22/7?
Answer:
3.1429
Step-by-step explanation
`(22)/(7)=3.1429` correct to four decimal places.
Write down the equation in slope intercept form if slope m=4 and y intercept is (0,-5). Do not leave spaces.
Answer:
y=4x-5
Step-by-step explanation:
y=mx+c
m=4
c = y-intercept = -5
y=4x-5
vGiven: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. 4 lines are connected. Line segment L M connects to line segment M N to form angle 1. Line segment M N connects to line segment N O to form angle 2. Line segment N O connects to line segment O P to form angle 3. A 2-column table has 5 rows. Column 1 is labeled statements with the entries line segment N M is parallel to line segment P O, angle 2 is-congruent-to angle 3, angle 1 is-congruent-to angle 3, angle 1 is-congruent-to angle 2, line segment L M is parallel to line segment N O. What is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem
Answer:r4r
Step-by-step explanation:
The display summarizes grades on a World History exam.
100
95
90
85
80
75
70
65
60
55
50
World History Exams
Which of the following describes the data set?
The data is univariate and categorical.
O The data is univariate and numerical.
O The data is bivariate and categorical.
O The data is bivariate and numerical.
The data set is the data is univariate and numerical.
What is set ?
A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.
A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
The display summarizes grades on a World History exam.
100,95,90,85,80,75,70,65,60,55, 50
The data is univariate and numerical.
To learn more about set visit:https://brainly.com/question/8053622
#SPJ1
(Answer both please will give a brainlest )
To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. (Assume points A and B are exactly along the
shoreline, and that a-2.92 miles and b-3.91 miles. Round your answer to two decimal places)
A parallelogram has sides of lengths 5 and 4, and one angle is 60°. Find the lengths of the diagonals. (Round your answers to two decimal places. Enter your answers as a comma-separated list
Answer:
Dang this is hard
Step-by-step explanation:
45°25'11"+6°31′18". Give your answer in both degree-
minute-second and decimal forms.
the answer to the equation is x2=4 or 2-2
Solve (x-2)^2- 40 = 0, where x is a real number
The required solution is given as x = -4.32 and x = 8.32.
Given that,
To Solve (x-2)²- 40 = 0, where x is a real number.
The process in mathematics to operate and the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
(x-2)²- 40 = 0
(x - 2) = √40
x - 2 = ± 6.32
Taking plus,
x = 6.32 + 2
x = 8.32
Taking minus
x = -6.32 + 2
x = -4.32
Thus, the required solution is given as x = -4.32 and x = 8.32.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
My Truck Takes 50 Gallons of gas. I used 20⅔ gallons on Monday. 9¼ on Tuesday. And 2½ on Wednesday. How many Gallons of gas do i still have in my truck?
Answer:
17 7/12 gallons of gas.
Step-by-step explanation:
Set the fractions to like denominators. It'll make it a hell of a lot easier to add.
20 2/3rds = 20 8/12
9 1/4ths = 9 3/12
2 1/2 = 2 6/12
Adding those together gets you 31 17/12 which is 32 5/12 simplified.
Take that fraction and subtract it from your 50 gallons and it'll get you 17 7/12
identify the terms in the algebraic expression 4x2 - 5y + 7
Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7
What is an Algebraic Expression ?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Example of Algebraic Expression - 4x + 5y +8
Hence the term is the algebraic expression are -4x , 5y 8
According to the given information
The Algebraic Expression given to us
[tex]4x^{2} -5y+7[/tex]
Hence
The algebraic expression has three terms.
Terms are [tex]4x^{2}[/tex] , -5y , 7
Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7
To know more about Algebraic Expression
https://brainly.com/question/953809
#SPJ1
how do you get the answer for 412.3 divided by 35
Answer:
The answer will be 11.78
Step-by-step explanation:
The first step to dividing fractions of 412.3 and 35. Next to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. You will get the answer in no time!
Complete the two-column proof. Given: 3x+7=X-5 Prove: -6 = X
Answer:
Refer to the photo taken.
Step-by-step explanation:
A soccer training camp charges $9.50 per hour for training, plus a flat fee for equipment rental. The total fee for 12 hours of training was $128.
A) Write and solve a linear equation to find the equipment rental fee.
B) How much would it cost for 6 hours of training?
(High school)
a) The linear function used to find the equipment rental fee is of: y = 9x + 20.
b) The cost for 6 hours of training is of: $74.
How to define the linear function?The linear function is defined considering it's slope-intercept format, given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, representing the cost per hour.b is the intercept, representing the flat fee.A soccer training camp charges $9.50 per hour for training, hence the slope is of:
m = 9.
The total fee for 12 hours of training was $128, hence the intercept b is obtained as follows:
128 = 9(12) + b
b = 128 - 108
b = 20.
Hence the function is defined as follows:
y = 9x + 20.
The cost for six hours of training is obtained as follows:
y = 9(6) + 20 = $54.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
PLS HELP!!!
Radical functions
Answer:
B
Step-by-step explanation:
Reverse the first and second elements of each ordered pair.