Answer:
C
Step-by-step explanation:
A - 1.57 + 0.23 = 1.80
B- 1.09 + 0.76 = 1.85
C- 0.98 + 0.89 = 1.87
D - 1.18 + 0.68 = 1.86
C has the greater sum
If the average value of the function f on the interval 2≤x≤6 is 3, what is the value of ∫62(5f(x)+2)dx ?
The value of the definite integral is 68.
We have,
Break down the integral into two parts:
[tex]\int\limits^6_2 (5f(x) + 2)dx = \int\limits^6_2(5f(x)dx + \int\limits^6_2(2)dx[/tex]
Given that the average value of f(x) on this interval is 3, replace 5f(x) with 5 * 3 = 15:
[tex]\int\limits^6_2 (5f(x)dx = \int\limits^6_2(15)dx[/tex]
= 15(6 - 2)
= 15(4)
= 60
And,
[tex]\int\limits^6_2 2 dx = 2 [6 - 2] = 8[/tex]
Adding both parts of the integral:
= 60 + 8
= 68
Therefore,
The value of the definite integral is 68.
Learn more about integrations here:
https://brainly.com/question/27360126
#SPJ12
Look at this table:
х
ONN
у
10
20
7
4
12
16
Is this relation a function?
Answer:
I think the answer is No
Step-by-step explanation:
It is not a function because there cannot be two points on the same x value. Hope I remembered this correctly.
Find the formula for an inverse proportion, knoping that its graph goes through th
point:
(2/3,9/5)
The graph of this equation runs through the point (2/3, 9/5), and it illustrates an inverse proportion, where y is inversely proportional to x.
What is an inverse proportion?An inverse proportion in mathematics is a relationship between two variables where a rise in one variable causes a fall in the other and vice versa. The two variables are thus inversely proportional to one another.
Let x be the independent variable and y be the dependent variable in an inverse proportion. Then the general form of an inverse proportion is:
y = k/x
where k is a constant of proportionality.
To find the specific formula for an inverse proportion that goes through the point (2/3, 9/5), we can substitute these values into the equation and solve for k:
y = k/x
9/5 = k/(2/3)
Multiplying both sides by (2/3), we get:
k = (9/5) * (2/3) = 6/5
Therefore, the specific formula for the inverse proportion is:
y = (6/5) / x
y = 6/(5x)
This equation represents an inverse proportion, where y is inversely proportional to x, and the graph of this equation passes through the point (2/3, 9/5).
To know more about inverse proportion follow
https://brainly.com/question/21294876
#SPJ2
What’s The Answer Of This? Please Help
Answer:
x = 85°
y = 45°
Step-by-step explanation:
For x, a line measures 180°, so subtract 95° from 180° to get 85°.
For y, all the angles in a triangle measure to 180°, and since we know x, add it to 50° and subtract it from 180°. 85° + 50° = 135°, and 180° - 135° = 45°
Answer:
x = 85
y = 45
Step-by-step explanation:
for x, angles on a straight line add up to 180 so 95 + x = 180 then evaluate for x
for y, angle in a triangle add up to 180 so 50+85 (as evaluated for x) +y= 180 and evaluate for y
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6? y = –three-fourthsx 8 y = –three-fourthsx 6 y = four-thirdsx – 8 y = four-thirdsx – 6
Answer:
y = –three-fourthsx
Step-by-step explanation:
For a class project, Mr. Turner has 350 sheets of paper to offer to his students. The paper comes in a variety of. The table shows the number of sh eets of each color. Which equation would I use? Please help fast! I’ll respond
Answer:
B
Step-by-step explanation:
Is the correct answer
One baseball team won 30 games throughout their entire season. Of all their games, this team won 60% of them. Given this, how many games in total did this team play? Round your answer to the nearest whole number if necessary.
Answer:
18 Games
Step-by-step explanation:
For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.
Total Games * Percentage won in fraction form = Games won
Fill the values.
30 * 3/5 = X
Simplify
18=X
2x + 8y = 4
x = -3y + 5
Answer:
(
x
,
y
)
=
(
26
5
,
−
6
5
)
Step-by-step explanation:
x is an integer.
The Lowest Common Multiple (LCM) of x and 12 is 120
The Highest Common Factor (HCF) of x and 12 is 4
Work out the value of x
Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.
HCF(x, 12) = 4 tells us that x is a multiple of 4.
If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)
The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.
What do we mean by Lowest Common Multiple (LCM) and Highest Common Factor (HCF)?
The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.
The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.
In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.
How do we solve the given question?We are given two numbers, x and 12.
Their LCM and HCF are 120 and 4 respectively.
We are asked to find the number x.
For two numbers, we know that the product of two numbers is equal to the product of their HCF and LCM.
∴ x*12 = 120*4
or, 12x = 480
or, x = 480/12
or, x = 40.
∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.
Learn more about HCF and LCM at
https://brainly.com/question/21504246
#SPJ2
9) In spite of offering 20 % discount on a watch priced at Rs. 300, a shopkeeper gains 20 %. What is the cost price of the watch ? (A) Rs. 250 (B) Rs. 200 (C) Rs. 260 (D) Rs. 280
Answer:
B) Rs. 200 is C.P. when shopkeeper gains 20% even though he offers 20% discount on a watch having M.P. Rs 300
if radius equals 3 and the arc that bounds that sector is 40° what is the sector area and arc length equal?
Answer:
Sector area= 3.143 units²
Arc length = 2.095 units
Answer:
arc length = 3 * 40° * (PI / 180)
arc length = 2.0943951024
sector area = (radius * angle (radians))
sector area = (3 * 0.6981317008)
sector area = 3.1415926536
Source: https://www.1728.org/radians.htm
Step-by-step explanation:
In EFG the measure of G=90 FG=21 and EF=63 feet find the measure of E to the nearest degree.
Answer:
∠ E ≈ 71°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos E = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EG}{EF}[/tex] = [tex]\frac{21}{63}[/tex] , then
∠ E = [tex]cos^{-1}[/tex] ( [tex]\frac{21}{63}[/tex] ) ≈ 71° ( to the nearest degree )
Assume that 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A. What is the approximate probability that someone that gets an A actually studied for the Psychology test
The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let A = the students get an A
Let B = the student's studied for the psychology test
We know that probability:
P(B) = 60% = 0.60 and
P(A/B) = 25% = 0.25
We know that:
[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]
Now the probability that someone that gets an A actually studied for the Psychology test:
P(A∩B) = P(B) ×0.25
P(A∩B) = 0.60×0.25
P(A∩B) = 0.15
Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
GUYS PLS ANSWER ALL OF THESE I WILL GIVE 70 POINTS IF YOU DO PLS PLS PLS
(30 points) Find the volume of the cylinder.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi.
Answer:
I guess both of the answers are correct.Hope the picture will help you.....
Answer: the answer on khan academy is 144 pie units^3
Teresa deposits $3,500 in an account that earns
2.25% compounded annually. What is the total
balance at the end 14 years? (Round to the
nearest cent) TEKS A2.5(B)(D)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.25% is $4,779.19.
Compound InterestGiven Data
Principal P= $3,500 Rate r = 2.25%Time t = 14 yearsFinal Amount A = ??A = P + I where
P (principal) = $3,500.00
I (interest) = $1,279.19
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.25/100
r = 0.0225 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,500.00(1 + 0.0225/1)^(1)(14)
A = 3,500.00(1 + 0.0225)^(14)
A = $4,779.19
Learn more about compound interest here:
https://brainly.com/question/24924853
I don't understand what to do or how to solve it
Answer:
120 degrees
Step-by-step explanation:
the angle at the center is called the central angle and you can tell because J is the center of the circle
The minor arc that is between point H and point K (the shorter way) is the same measure as the central angle
If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of clogs and the 6 cats
Answer:
=d+6c
Step-by-step explanation:
I hope this is the right answer
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp
Answer:
∅
Step-by-step explanation:
y = -x - 2
3x + 3y = 6
3x + 3(-x - 2) = 6
3x - 3x - 6 = 6
0x - 6 = 6
0 = 12
SOLUTION DNE (∅)
I hope this helps!
Rectangle ABCD is rotated by 90 degrees clockwise about the origin then translated 3 units left and 2 units down to form A'B'C'D
What is the length, in units of line segment A'B' in the resulting figure?
The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
Translation of shapes in the Cartesian planeForm the task content;
It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
Read more on translation in the Cartesian plane;
https://brainly.com/question/5471952
Diane brought 16 packs of cola to a party, and each pack had 8 cans. Maria brought 9 cans of juice. How many cans did they bring in all?
Answer:
137
Step-by-step explanation:
There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.
16 · 8 = 128 cans
The amount of cans Maria brought is already given. All that's left is to add the amounts.
128 + 9 = 137
They brought 137 cans in all.
hope this helps!
Every third person on a list of soccer players is selected for a survey, What kind of sampling method is used?
The method which is used for every third person on a list of soccer players selected for a survey is known as systematic sampling.
What is a sample method?The sampling method is the method of selecting the subset from the set to make a statical inference.
Because of its simplicity, systematic sampling, also known as the nth name selection approach, is frequently employed instead of random sampling. Following the collection of the sample, every nth person of the population is registered in the sample.
Thus, the systematic sampling method is used.
More about the sample method link is given below.
https://brainly.com/question/15125943
#SPJ1
What is the equation of the line that passes
through the point (-2,2) and the point (-6,4)?
Answer:
y = -1/2x+1
Step-by-step explanation:
First step is to find the slope
m = (y2-y1)/(x2-x1)
= ( 4-2)/(-6 - -2)
(4-2)/(-6+2)
2/-4
-1/2
Then we can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/2x+b
Substitute a point into the equation to find b
2 = -1/2(-2) +b
2 = 1+b
Subtract 1 from each side
1 =b
y = -1/2x+1
y = mx + b
Where m = slope and b is the y intercept
Let's find the slope = change in y/change in x
m = (4-2)/(-6+2) = 2/-4 = -1/2
Now we have:
y = (-1/2)x + b
Now substitute point (-6,4)
4 = (-1/2)(-6) + b
4 = 3 + b
b = 1
So y = (-1/2)x + 1 is the equation
ANSWER:
[tex]y=(-\frac{1}{2})x[/tex]+1
so letter c
uuuhhhhhhhhh.....
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
STOP DELETING MY FREAKIN QUESTIONS
Answer:
Likekly
Step-by-step explanation:
P(particular event) = [tex]\frac{2}{3}[/tex]
Out of 3, 2 is success. so, it is likely
Jaylen bought j crackers and combined them with Marvin m crackers they then split the crackers equally among 7. Type an algebraic expression that represent the verbal expression
Answer:
Gimme brainliest
Step-by-step explanation:
ip grabber goated
Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions?
Any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.
Given quadratic equation is:
[tex]x^{2} +bx+5=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.
[tex]D\geq 0[/tex]
[tex]b^{2} -4(1)(5)\geq 0[/tex]
[tex]b^{2}-20 \geq 0[/tex]
[tex]b^{2} -(2\sqrt{5}) ^{2}\geq 0[/tex]
[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]
b∈[tex](-\infty,-2\sqrt{5}][/tex]∪[tex][2\sqrt{5},\infty)[/tex]
Hence, any value in the interval (-∞,-2√5] ∪[2√5,∞) will cause the quadratic equation x2+bx+5 = 0 to have two real number solutions.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
1 and 1/2 - 1 and 1/4
Step-by-step explanation:
[tex] = 1 \frac{1}{2} - 1 \frac{1}{4} \\ [/tex]
[tex] = \frac{1 \times 2 + 1}{2} - \frac{1 \times 4 + 1}{4} \\ [/tex]
[tex] = \frac{3}{2} - \frac{5}{4} \\ [/tex]
[tex] = \frac{3}{2} \times \frac{2}{2} - \frac{5}{4} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{6 - 5}{4} \\ [/tex]
[tex] = \frac{1}{4} \\ [/tex]
Simplify by combining like terms:
n − 10 + 9n − 3
Answer:
10n-13
Step-by-step explanation:
a , b , c , d ???????????
Answer:
c
Step-by-step explanation:
if this is wrong im sorry...
Hamilton path or Circuit? explain answer
Answer:
Hamilton
Hamilton
Hamilton
Circuit
Circuit