Answer:
100+96+96+88+70+100=550
550 divided by 6 is 91 1/3
92 is his current grade
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
B
Step-by-step explanation:
The equation of Nolan's line is
The slope-intercept form of a line is given by:
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
Hence,
The equation of Nolan's line is
I swear there are never tutors
Answer:
5-2y (the last option)
hope this helps!
please give brainiest<3
Answer:
2y-5
Step-by-step explanation:
When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.
Answer:
Temperature after 10 minute = 27.9 degree Celsius
Step-by-step explanation:
Current temperature, P = 100 degree Celsius
% rate in temperature loses = 12% per minute = 0.12
Time, t = 10 minutes
Temperature after t minutes ,
[tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]
= 27.9 degree Celsius
Convert this radical form to exponential form.
Answer:
I think it's 7.93725
I'm not sure if I did this correctly
I think of a number, double it, then subtract 13 , I get 73 . Evaluate the number I thought of.
Answer: 43
Step-by-step explanation:
Lets start with the result. First add the number you subtracted with 73
= 73+13=86
Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.
86/2= 43
Hence the Answer or the First Number was 43
HOPE IT HELPS AND PLS MARK BRAINLIEST
Which of the following is a point-slope equation for a line with the point (-2, 4) and a slope of 3? O A. y - 4 = 3(x+2) B. y - 2 = 3(x-4) C. y + 2 = 3(x-4) O D. y - 4 = 3(x - 2)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]A)\text{ } y-4=3(x+2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
Find the missing side and angle measures in triangle ABC. Round your answers to the nearest tenth.
The measure of angle B is approximately
__.
The measure of angle C is approximately
__.
The length of side AB is approximately
___units.
Answer:
[tex]m\angle B\approx 80.27^\circ\text{ and } m\angle C\approx 59.73^\circ[/tex]
Side AB measures approximately 20.15 units.
Step-by-step explanation:
We can use the Law of Sines, given by:
[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]
Since we already know ∠A and a, we can use it to determine our other measures.
We know that b is 23. Substitute:
[tex]\displaystyle \frac{\sin 40^\circ}{15}=\frac{\sin B}{23}[/tex]
Solve for ∠B:
[tex]\displaystyle \sin B=\frac{23\sin 40^\circ}{15}[/tex]
We can take the inverse sine of both sides:
[tex]\displaystyle m\angle B=\sin^{-1}\frac{23\sin 40^\circ}{15}[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]m\angle B\approx 80.27^\circ[/tex]
The interior angles of a triangle must total 180°. Hence:
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
Substitute in known values:
[tex](40^\circ)+(80.27^\circ)+m\angle C=180^\circ[/tex]
Therefore:
[tex]m\angle C\approx 59.73^\circ[/tex]
Lastly, to find AB or c, we can use the Law of Cosines:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
a = 15, b = 23, and to prevent rounding errors, we will use the exact value for C. Recall that we know that:
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
Using the exact value for ∠B, we acquire:
[tex]40^\circ+\displaystyle \sin^{-1}\frac{23\sin40^\circ}{15}+m\angle C=180^\circ[/tex]
Therefore:
[tex]\displaystyle m\angle C=\left(140-\sin^{-1}\frac{23\sin40}{15}\right)^\circ[/tex]
Substitute:
[tex]\displaystyle c^2=(15)^2+(23)^2-2(15)(23)\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)[/tex]
Simplify and take the square root of both sides.
[tex]\displaystyle c=\sqrt{754-690\cos\left(140-\sin^{-1}\frac{23\sin40^\circ}{15}\right)}[/tex]
And use a calculator:
[tex]c\approx 20.15[/tex]
Answer:
Hi! The person above is actually correct, just that it needed to be rounded to the nearest tenth. Check the picture for confirmation. Hope this helped <3
Step-by-step explanation:
The measure of angle B is approximately
80.3
The measure of angle C is approximately
59.7
The length of side AB is approximately
20.2
I got it correct on Edmentum/Plato
How do I solve this?
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160 What is the relative frequency of a boy playing an instrument? Write the answer as a decimal, rounded to the nearest hundredth.
Answer:
Step-by-step explanation:
For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
What is relative frequency?Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.
The relative frequency can be given as,
[tex]f_r=\dfrac{f}{n}[/tex]
Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.
The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.
Martin collected data from students about whether they played a musical instrument.
The table shows his results.
Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,
[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]
Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.
Learn more about the relative frequency here;
https://brainly.com/question/3857836
#SPJ2
help i give many points
Answer:
Step-by-step explanation:
The pic doesnt wrk comment question and ill answer
y = x2
-2
What is the Domain:
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
b) Find x and y.
x = 10-6
Answer:
to find y you have to do trigonometry
Mark's average after 9 exams was 60. After 10 exams it had decreased to 50. How many marks did he score in his 10th exam?
Answer:
hey how much mark he scored in 9th exam give proper data or how many subject there
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answer:
a is the answer because I just did that question and got 100 percent.
Please help me asap, please! How do I do this?
Answer:
(3, 6)
1/3
y = -3x +15
Step-by-step explanation:
you do this step by step.
just think what you need. and then you get all of that one after the other.
so, we need the middle point between D and O.
for this we need to know the length of DO.
and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.
so, length of DO.
Pythagoras for the triangle of the differences between the individual coordinates.
DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160
DO = sqrt(16×10) = 4×sqrt(10)
the distance D-middle is half of DO = 2×sqrt(10)
DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²
=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :
(-3 + 6, 4 + 2) = (3, 6)
the slope of DO
the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.
for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.
so, the slope is 4/12 = 1/3.
perpendicular slope of 1/3
we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.
so, the perpendicular slope is -3/1 = -3
the equation of the perpendicular line through the middle point is
y = -3x + c
for c we need to use the coordinates of the middle point (3, 6)
6 = -3×3 + c
6 = -9 + c
c = 15
so our line is
y = -3x + 15
What is the slope that passes through the points (-8, -7) and (-5, 2)?
Answer:
3
Step-by-step explanation:
The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,
y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!
Answer:
3
Step-by-step explanation:
To find the slope given two points, we use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 2 - -7)/(-5 - -8)
= (2+7)/( -5+8)
9/3
3
What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =
Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Step-by-step explanation:
Feel free to ask for more help. I love Linear Algebra
.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA
Answer:
B
Step-by-step explanation:
y = k/(x + 3)
Let x = 2
Let y = 8
k = ?
8 = k/(2 + 3) Combine the terms on the right
8 = k/(5) Multiply both sides by 5
8*5 = k
k = 40
Let x = 7
y = 40/(7 + 3)
y = 40/10
y = 4
Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?
Answer:
The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57
Step-by-step explanation:
x = PER page
y = total
Online scrapbooking equation:
y = 45 + x
Family friend equation:
y = 9 + 4x
Where prices (y) would be equal:
y = 45 + x (Multiply this by -4)
y = 9 + 4x
y = 9 + 4x
-4y = -180 - 4x
-3y = -171
y = 57
y = 45 + x
-y = -9 - 4x
0 = 36 - 3x
3x = 36
x = 12
HOLY CHICKIE NUGGIES WHAT IS THIS?!?!? I AM CONFUSION??
PLEASE HELP ASAP THIS IS A TIMED QUESTION!!!!
Answer:
Ok!
Step-by-step explanation:
Answer:
Step-by-step explanation:
I honeslty don't know any of this but it is probably comparing parrallel lines.
Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.
Answer:
x = 20
Step-by-step explanation:
The triangles are similar
3 (3+5)
----- = ----------
12 (12+x)
Using cross products
3(12+x) = 12*(3+5)
3(12+x) = 12*8
3(12+x) = 96
Divide by 3
3(12+x)/3 = 96/3
12+x = 32
Subtract 12
12+x-12 =32-12
x = 32-12
x =20
the grid below is made up of squares with sides of 1cm draw a rectangle with an area of 12 cm squared
Answer:
6 is length and 2 is width.
How many in five days?
Answer:
d
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
1. Tyler's hourly salary is $14. If Tyler works
hours a day, then how much will be earned in a
day?
Answer:
????
Step-by-step explanation:
The number of hours he works is missing???
anyone know the answer?
Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers
Answer:
2.64 km
Step-by-step explanation:
The first step is to calculate the distance in meters
= 24×110
= 2640 meters
1km= 1000 meter
2640 meters to kilometer
= 2640/1000
= 2.64 kilometers
Hence the distance is 2.64 km
Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?
Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.
Answer:
B
Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got a 100%