2e - 3(2e + 3) = 3e + 5
What is e?
[tex]\boxed{e\:=\:-2.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
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20 / 12 = 5 / y
y = 5 × 12 / 20
y = 60 / 20
y = 3
what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Answer:
8π/5
Step-by-step explanation:
Length of an arc, L
L = θ / 360° * (2πr)
r = Radius = 4 ; θ = 72
Hence,
L = 72/360 * (2π4)
L = 1/5 * 8π
L = 8π/5
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
A survey was done on the number of people in eachcar leaving a Shopping
Centre. The results are summarised in the following table:
Number of People
in Each Car
Frequency
1
45
2
198
3
121
4
76
5
52
6
13
a. What is the Mode number of people in each car?
b. What is the Median number of people in each car?
c. What is the Mean number of people in each car? Give your answer to 1
decimal place.
Answer:
a) Mode number = 2
b) Median = 64.5 = 4 people in car as 0.5 in 64.5 is close to 76
= 4 people
c) Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with = 3 people
Step-by-step explanation:
45 is 1
198 is 2
121 is 3
76 is 4
52 is 5
13 is 6
Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.
Median is shown in the answer as we add up.
Mean we add up all frequency and divide by the amount of subjects = 6.
a) Mode number = 2
b) Median = 13, 45, 52, here 76, 121, 198 mid number between
= (76-52 )/ 2 + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number
median = 64.5 in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.
c. Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with 3 seats
For cumulative frequency we can relist numbers like this
45
45 +198 = 243
243 + 121 = 364
364+76 = 440
440 + 52 = 492
492+13 = 505 to plot graph.
But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.
You are offered a job as a set designer on two different movies. If company A offers to pay you $450 per week and company B offers $10 per hour, and both ask you to work 40 hours per week, which company is offering the better rate of pay
Answer:
Company A.
Step-by-step explanation:
Company A = $450
Company B = 10*40 = $400
450 > 400, company A offers a better rate of pay.
2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon
How many quarts are equal to 8 cups?
Answer:
Your answer is 2.
What is the value of -(-9)?
Explain your reasoning.
Answer:
-(-9) is 9
Step-by-step explanation:
-(-9)
(when there are two negatives multiplyed with eachother, the product will be postive)
+ 9
+ 9 = 9
- ( - 9 ) =
( - 1 ) × ( - 1 × 9 ) =
( - 1 ) × ( - 1 ) × ( 9 ) =
( + 1 ) × 9 =
1 × 9 =
9
What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answer:
58.1
Step-by-step explanation:
plsss help i’m in 7th grade!!
Answer:
Step-by-step explanation:
2a+b^3
2*5.6+(2)^3
11.2+8
19.2
Answer:
19.2
Step-by-step explanation:
2(5.6)+2^3
11.2+8
19.2
A regression analysis involving one independent variable and one dependent variable is referred to as
Answer: Simple regression
Step-by-step explanation:
A regression analysis that involves one independent variable and one dependent variable is called the simple regression.
The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable
PLS HELP I WILL MARK BRAINLIEST
Answer:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
Step-by-step explanation:
The green triangle is the rotation. It is rotated 90 degrees about the origin (0,0). P is at (-1.1). Q is at(-2,3). R is at (-5,2).
The red triangle is the reflection. It has been reflected over the x=axis. X is at (1,-1). Y is at (3,-2). Z is at (2,-5).
2. Which of the following is true of liquids? * AThey take on the shape of their container. b.Their shape does not change. C.Their particles are widely spread out. D.Their particles move very rapidly.
Answer:
A
Step-by-step explanation:
Identify which property is used for: 62 x (-10) = (-10) x 62 *
Answer:
Commutative property of multiplication
Step-by-step explanation:
Properties of Multiplication:
Commutative:
Multiplying two or more factors in a different order.
ex: 2 x 4 x 5 = 2 x 5 x 4
Associative:
Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.
ex: (13 x 4) x 25 = 13 x (4 x 25)
Distributive:
Distributing a multiplicand to factors in parenthesis.
ex: 2(4 - 1) = 2(4) - 2(1)
ex: 2(8+7) = 2(8) + 2(7)
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what do you call a vacation trip for 27 physicians! INEED THIS WORKSHEET WITH ANSWERS NOW PLS!!!!!!
Answer:
Doc Tour
Step-by-step explanation:
Answer:
Doc-Tour
Step-by-step explanation:
Solve for x. 4x2 = 324
Answer:
=−9
=9
Step-by-step explanation:
4
2
=
3
2
4
4x^{2}=324
4x2=324
4
2
−
3
2
4
=
04
2
−
3
2
4
=
0
4x^{2}-324=0
4x2−324=0
4
(
2
−
8
1
)
=
04
(
2
−
8
1
)
=
0
4(x^{2}{\color{#c92786}{-81}})=0
4(x2−81)=0
4
(
2
+
9
−
9
−
8
1
)
=
0
Happy To Help!help :> me no understand
Answer:
3!!!!!!! ans is 3 ok mark brainluest
Can someone please help?
Identify the form of the equation and two characteristics of the function's graph. y = –7x + 2 Group of answer choices Point-Slope Form m = 2 y-intercept = 2 y-intercept = -7 Slope-Intercept Form m = -7 Standard Form
Answer:
Slope intercept form with m= -7
Step-by-step explanation:
Slope intercept form is y=mx+b
where m=slope and b=y-intercept
so
y=-7x+2
Slope (m)= -7
y-intercept = 2
A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (3.9%, 7.3%). What is the point estimator of the mean percentage of reservations that are canceled on the day of the flight? 3.65% 5.60% 1.70% 3.4%
======================================================
Work Shown:
Find the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%
The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%
We have to determine the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
What is the formula for the midpoints?C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is
B-C = 7.3-5.6
B-C= 1.70%, or you could say
C-A = 5.6 - 3.9
C-A= 1.70%
Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.
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solve everything for brainiest
Answer:
1. [tex]a = 8[/tex]
2. [tex]b = \frac{1}{8}[/tex]
3. [tex]c = 2 \frac{3}{5}[/tex]
4. [tex]d = \frac{13}{50}[/tex]
Step-by-step explanation:
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
Answer:
solution below
Step-by-step explanation:
quadratic formula (note the + before the radical is ±)
[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]
Let's plug in the numbers and simply for the first one
[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]
this simplies to
[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]
Do this same process with all the other ones
Solve for angle A with sides 6,10,9
Answer:
c = 13.52 units.
Step-by-step explanation:
So for this, lets use the Law of Sines, which says that:
Sin A / a = Sin B / b = Sin C / c
We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.
180 - 80 - 33 = 67 degrees
With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines
Sin A / a = Sin C / c
sin 33/8 = sin 67/c
c = 8*sin67 / sin 33
c = 13.52 units.
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
Help ASAP! Picture above easy 6th grade math
Answer:
c and e is your answers
Step-by-step explanation:
Hope it helps :3
1000 tickets were sold . Adult tickets cost 8.50 , children’s cost 4.50 and total of 7300 was collected. How many tickets of each kind were sold ?
Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?
Answer:
8.4%
Step-by-step explanation:
let x = interest rate
55,000(1 + x)^16 = 200,000
divide both sides by 55,000
(1 + x)^16 = 3.636
find the invese of 16
1 + x = 1.084
x = 0.084
x = 8.4
Which answers I should have to answer
Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.
at what rate will £420 yield £
£70 in 4 years
Answer:
4.16%/ year
Step-by-step explanation: