Answer:
which of these statements BEST describes the relationship between college and health and wellness D There is no relationship between college degree and salary.
x + y + 5) and (2x – 2y – 3)
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
Will give high vote and brainliest!! Just make sure to put the CORRECT answer <3 (the one i clicked is wrong)
Answer:
1.2x10^13
Step-by-step explanation:
Trillion=1x10^12
12 trillion=12x10^12
12 trillion=1.2x10^13
I need help with this what’s the answer
Answer:
If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.
Answer:
x+4
Step-by-step explanation:
To solve this question we must look at the examples :
x=2 and y=66-2=4
x=2 and y=77-3=4
so the aswer is : y = x + 4
What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2
Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Answer: " f⁻¹(x) = (x-1)/2 "; or, write as:
___________________________________
" f⁻¹(x) = (x/2) - (1/2) " .
___________________________________
Step-by-step explanation:
___________________________________
Given: f(x) = 2x + 1 ; Find the inverse:
___________________________________
1) Rewrite as y = 2x + 1 ;
2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:
x = 2y + 1 ;
3) Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :
x = 2y + 1 :
Subtract "1" from each side of the equation:
x - 1 = 2y + 1 - 1 ;
to get:
x - 1 = 2y ;
___________________________________
↔ Rewrite as :
2y = x - 1 ;
Now, divide each side of the equation by "2" ;
to isolate "y" on the left-hand side of the equation;
& to solve in terms of "y":
___________________________________
2y / 2 = (x-1)/2 ;
___________________________________
to get:
y = (x-1)/2 ;
or; write as: y = (x/2) - (1/2);
___________________________________
Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):
___________________________________
f⁻¹(x) = (x-1)/2 ; or, write as:
___________________________________
f⁻¹(x) = (x/2) - (1/2) .
___________________________________
Hope this is helpful to you!
Best wishes!
___________________________________
An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and Fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes this situation.
Answer:
x + y = 1000x ≥ 100y ≥ 300Step-by-step explanation:
Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...
x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets
x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels
y ≥ 300 . . . . . . . . . Fort Wayne needs at least 300 bushels
Answer: x + y = 1000 This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )
x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels
y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels
Step-by-step explanation:
The distribution could be anything within the darkest shaded area in the attached graph.
For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.
Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left
Given a right triangle with acute angle of 40° and a hypothenuse length of 35 feet, find the length
of the side opposite the acute angle.
Answer:
the length of the side opposite = 20.6 feet
Step-by-step explanation:
using SOHCAHTOA
Sin 40 = opp / hyp
Sin 40 = opp / 35
opp = sin 40 x 35
opp = 20.6 feet
HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.
Answer:
Area of sphere = 576 pi ft^2
Volume of sphere = 2,304 pi ft^3
Step-by-step explanation:
Radius of great circles are the same as radius of the sphere
So let’s calculate the radius of the sphere from the area given;
Mathematically;
pi * r^2 = 144pi
r^2 = 144
r = square root of 144
r = 12 ft
Volume of sphere = 4/3 * pi * r^3
= 4/3 * pi * 12^3 = 2,304 pi ft^3
Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2
Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.
Amanda pays £235
a) Work out the total cost of the holiday.
b) Work out how much Bethany pays.
(show all your working out)
Answer:
a. £564
b. £141
Step-by-step explanation:
a. Firstly, we add up the ratios
= 5 + 4 + 3 = 12
Amanda’s share was 5
Let the total amount be £x
Thus; 5/12 * x = 235
5x = 12 * 235
x = 2820/5 = 564
The total cost of the holiday is £564
b. We want to calculate what Bethany paid
That would be 3/12 * 564 = £141
find the slope between (-5,-4) and (-12,7)
Answer:
Slope = [tex]-\frac{11}{7}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{7+4}{-12+5}[/tex]
Slope = [tex]\frac{11}{-7}[/tex]
Slope = [tex]-\frac{11}{7}[/tex]
Answer:
11/-7
Step-by-step explanation
- First you get you X1 and Y1 then X2 and Y2
-after getting that your problem should look like this:
7 minus negative 4
over negative -12 minus negative -5
which when subtracted will get you 11/-7!
please give brainliest!
quadratics helppp plzzzz
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
He science club has 4 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get
Answer:
b / 4
Step-by-step explanation:
If you are splitting b bumper stickers between 4 members, you must divide the number of bumper stickers by the number of members, which is 4! Dividing is just like if you were to divvy something up between people, but it is a mathematical term! This will give you b / 4.
What is the product?
Answer:
It's (B)
Step-by-step explanation:
A
a
29
20
С
B
21
Find tan(a) in the triangle.
Answer:
21/20.
Step-by-step explanation:
tan α = opposite side / adjacent side
= 21/20
Your mom about a multi-pack of hot fries from Sam's Club last week. When you got home from school your brother and his friends has eaten 1/6 of the bags. By the end of the week your family had eaten 50% of what was left. There were 30 bags of hot fries left in the Box how many were in the box to begin with
Answer:
Ans is 72 bags!!
Step-by-step explanation:
Call the original number of bags, B
After 1/6 of these were eaten, there were B - (1/6)B = (5/6)B left
After 50% of these were eaten.....there were (1/2)(5/6)B = (5/12)B left
And this = 30
So
(5/12)B = 30 multiply both sides by 12/5
B = 30(12/5)
B = 360 / 5
B = 72
Hope it helped
Tysm
Mark me BRAINLIEST!
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band Find the probability that a student chosen at random is in the choir or band or both
Answer:
29/45 ≈ 0.644
Step-by-step explanation:
There are 450 students in total
110-60=50 students are only in the choir
240-60=180 students are only in the band
60 students are in both
160 students are neither in the band nor in the choir
So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644
how do you do this : 40% of 98 = _____
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
Please answer this in two minutes
Answer:
[tex] t = 17.3 [/tex]
Step-by-step explanation:
Given:
∆TUV,
m < T = 87°
VT = u = 11
TU = v = 14
VU = t = ?
Use the Law of Cosines to find t as shown below:
[tex] t^2 = u^2 + v^2 - 2uv*cos(T) [/tex]
[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]
[tex] t^2 = 121 + 196 - 308*0.0523 [/tex]
[tex] t^2 = 317 - 16.1084 [/tex]
[tex] t^2 = 300.89 [/tex]
[tex] t = 17.3 [/tex] (rounded to the nearest tenth)
The number or expression in a power that is multiplied by itself?
Answer:
the base???
Step-by-step explanation:
Answer:
Exponent
Step-by-step explanation:
An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.
ITUTUS
Every day a school bus driver passes the same traffic light twice, once before school and once after.
Each time he passes the light, he records if it is red, green, or yellow.
Here is a summary of the data he got after 150 days.
Traffic light
before school
Traffic light
after school
Number of days
red
red
13
red
green
17
red
yellow
23
green
red I
11
green
green
10
green
yellow
17
yellow
red
24
yellow
green
21
yellow
yellow
14
Suppose the driver will continue recording the colors for 50 more days.
In how many of these 50 days will the light be yellow at least once? Use the data to make a prediction.
Х
$
?
Answer:
Step-by-step explanation:
Pls help me it is urgent .A trader bought a plate for 120 naira and sold it for 168 naira .What is his percentage profit.
Answer:
40%
Step-by-step explanation:
He made 48 naira.
48 = 40% * 120
What is the solution to the system of linear equations graphed below?
A.) (0, 4)
B.) (4, 1/2)
C.) (1/2, 4)
D.) (0, 3)
Answer:
C.) (1/2, 4)
Step-by-step explanation:
The solution is where the two lines intersect
The lines intersect at x = .5 and y =4
Answer:
C.) (1/2, 4)
Step-by-step explanation:
What is 6 y minus 3 x = negative 18 written in slope-intercept form?
Answer:because that’s what the answer is
Step-by-step explanation:
Answer:
Y=1/2x-3
Step-by-step explanation:
1/3 of 12 =2/3 of PLEASE HELP ME!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
Let the number be x.
1/3 × 12 = 2/3 × x
Multiply.
12/3 = 2/3x
4 = 2/3x
Multiply both sides by 3/2.
4 × 3/2 = x
12/2 = x
x= 6
Answer:
1/3 of 12 = 2/3 of 6
Step-by-step explanation:
1/3 · 12 = 2/3 · x
12/3 = 2x/3
Multiply 3 on both sides.
12 = 2x
12 ÷ 2 = x
6 = x
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
Step-by-step explanation:
[tex]\frac{-3}{5}*17\frac{5}{6}=\frac{-3}{5}*\frac{107}{6}\\\\=\frac{-1*107}{5*2}\\\\=\frac{-107}{10}\\\\=-10\frac{7}{10}[/tex]
Answer:
-9
Step-by-step explanation:
don't have one
Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?
Work Shown:
908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.
While 67 rounds to 100, for similar reasoning as above.
Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.
Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.
Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.
Evaluate 2/5 divided 1/4 Give answer as a mixed number in its simplest form
Answer:
1 3/5
Step-by-step explanation:
2/5 ÷ 1 /4
Reciprocal.
2/5 × 4/1
Multiply.
8/5
Convert to a mixed fraction.
1 3/5
The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Given that,
To evaluate 2/5 divided 1/4,
Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.
Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5
Now,
Mixed number = 8/5 = 3 1/5
Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ3
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 150 160 170 180 190 200 210 220 230 240 250 260 270 [infinity] −[infinity] 262 160 175 214 225 Weight (in pounds)
Answer:
The interquartile range of the players' weights = 48 pounds.
Step-by-step explanation:
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
Hope this Helps!!!
Order the following numbers from least to greatest. 5/4; 1.3; 1 8/25 (The 1 8/25 is a mixed number reading One and Eight Twenty-fifths, not 18/25)
Answer:
5/4,1.3,1 8/25
Step-by-step explanation:
5/4 = 1.25
1 8/25=1.32
1.25<1.3<1.32
PLEASE HELP ME! IM REALLY CONFUSED!
Last season, a lacrosse player scored 41 points in 15 games.So far this season, the player has scored 24 points in 9 games.a. Does the player have a greater number of goals per game thisseason compared with last season?b. Suppose the player plays in as many games this season as lastseason and continues to score at this season’s rate. Write and solve aproportion to find the number of goals the player will score thisseason.
Answer:
1.) No
2.) 40 goals
Step-by-step explanation:
Given the following :
Last season:
Games played = 15
Points scored = 41
Current season:
Games played = 9
Points scored = 24
A)
Last season:
Goals per game = total points / number of games
Goals per game = 41 / 15 = 2.733
Current season :
Goals per game = total points / number of games
Goals per game = 24 / 9 = 2.667
Last season's goal per game is greater than that of current season.
B)
Current rate = goals / games = 24/9 - - - (1)
Let points to be scored this season = y
Ratio of y to number of games played last season = y / 15 - - - (2)
Equate both
24 / 9 = y / 15
9 * y = 24 * 15
y = 360 / 9
y = 40