2n + 1 , 2n + 3 , 2n + 5
____________________________
( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15
4n + 8 = 10n + 5 - 15
4n + 8 = 10n - 10
Add both sides 10
4n + 8 + 10 = 10n - 10 + 10
4n + 18 = 10n
Subtract both sides 4n
4n - 4n + 18 = 10n - 4n
18 = 6n
Divide both sides by 6
18 ÷ 6 = 6n ÷ 6
n = 3
_________________________________
Thus that three numbers are :
2(3) + 1 , 2(3) + 3 , 2(3) + 5
6 + 1 , 6 + 3 , 6 + 5
7 , 9 , 11
And we're done ....
Edward has a box of following Skittles: 5 red, 4 green, 6 orange, 3 purple, and 7 yellow. He wants to know what the probability of choosing a red Skittle, eating it, and then choosing a yellow Skittle is. Which expression below shows Edward how to correctly find the probability of this situation? Skittles Original O 7/25 x 4/25 5/25 x 7/25 5/25 x 7/24 05/24 x 7/24
Answer:
Let's add the total skittles to get our outcome:
25 in total.
5(red skittles)/25(total skittles in all)
7(yellow skittles)/24(total skittles in all NOW since you took a red skittle)
So therefore your expression is:
5/25 x 7/24
Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between GF and CD when CD is not perpendicular to AB . Zoom in or out on the coordinate plane, if needed.
Answer:
See Explanation
Step-by-step explanation:
Given
Lines GF, CD and AB
Required
Relationship between GF and CD
The question is incomplete, as there is no attachment to support the given parameters.
The general solution goes thus:
(a) CD and GF perpendicular to AB
If two lines are perpendicular to another line; then the two lines are parallel to each other.
This means that CD and GF are parallel, and they have the same slope
(b) CD is not perpendicular to AB
Here, we know that GF is perpendicular to AB, CD is not;
This means that GF and AB are not parallel.
More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.
Suma masurilor a doua unghiuri este egala cu 180(de grade). Determinati masura fiecarui unghi stiind ca unul dintre unghiuri are masura egala cu 20% din masura celuilalt unghi
Answer:
150 grados
30 grados
Step-by-step explanation:
Sea x la medida del primer ángulo
Sea la medida del segundo ángulo y
Según la pregunta;
x + y = 180 -------- (1)
De la segunda oración;
x = 0,2 años -------- (2)
Sustituyendo (2) en (1)
0,2 años + y = 180
1,2 años = 180
y = 180 / 1,2
y = 150 grados
Pero;
x = 0,2 años
Entonces
x = 0,2 (150)
x = 30 grados
Por eso;
y = 150 grados
x = 30 grados
The opposite of the integer represented by point A is?
I have no idea what I’m doing
Answer:
15.2 cm, 130 m
Step-by-step explanation:
1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);
sin(61) = XY/17.4; multiply both sides by 17.4 to find XY
17.4sin(61) = 15.2 cm
2.
This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.
The hypotenuse of the triangle is the 170 m string.
The angle of inclination is 50 degrees.
The height of the triangle will be opposite of the angle of inclination.
Therefore,
sin(50) = height/170 (opposite/hypotenuse)
170sin(50) = 130.2 meters
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
You need to plug in 3 for all of the x-values
That looks like 2(3)^2 + 5(3) - 9
Then if you simplify it is 2(9) + 15 - 9
Then simplify one last time and you get a final answer of 24
[tex]_____________________________________[/tex]
ANSWER:x - intercept:[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]
y - intercept[tex]\tt(0, - 9)[/tex]
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Answer:
8
Step-by-step explanation:
All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8
7 times 0 is 0, so you are left with 8 as your answer
Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!
Answer:
i think there's zero solutions
A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?
Answer:
Relative frequency of selecting a 2 = 8/50 = 0.16
Relative frequency of selecting a 3 = 14/50 = 0.28
Step-by-step explanation:
When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.
Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.
Out of these 50 times, the outcome "2" appears 8 times.
Then the relative frequency of selecting the number 2 is:
f(2) = 8/50 = 0.16
And of these 50 experiments, the outcome "3" appears 14 times.
Then the relative frequency of selecting the number 3 is:
f(3) = 14/50 = 0.28
The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.
On a coordinate plane, 2 lines intersect at (negative 3, 2).
What is the solution to the system of equations?
Answer:
x= -3
y= 2
Hope it helps :D
Answer:
its A
Step-by-step explanation:
on edge 2021
Find the number of moles of Argon in 97.37 grams.
Answer:
n = 2.43 moles
Step-by-step explanation:
Given mass, m = 97.37 grams
The mass of Argon is, M = 39.948 g/mol
We know that,
No. of moles = given mass/molar mass
[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]
Hence, there are 2.43 moles of Argon.
2x2 = 4 4x 10 = 40 x 32 = ?
Answer:
1280
Hope this helped :D
Find the total pay for biweekly at $9.50 per hour
how many hours do they work? Please be more spesific
Answer:
The answer is 760
Step-by-step explanation:
If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.
Which number is equivalent to 2^3x = 10
Answer:
5/4
Step-by-step explanation:
see steps below:)
Find the indicated limit, if it exists.
Answer:
[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
When you graph the function, the left-hand and right-hand limit does equal the same.
Step 1: Define
[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]
Step 2: Find Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify: [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
A cylinder is wight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Complete Question
A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Answer:
160.74 cubic inches
Step-by-step explanation:
Step 1
Find the volume of cylinder
= πr²h
A cylinder is eight inches high with a radius of three inches.
Height = 8 inches
Radius = 3 inches
Volume of the cylinder = π × 3² × 8
= 226.19 cubic inches
Step 2
Find the volume of sphere
= 4/3 π r³
It contains a ball with a diameter of five inches.
Diameter = Radius /2 = 5/2 = 2.5 inches
Volume of the Sphere = 4/3 × π × 2.5³
= 65.45 cubic inches
Step 3
What volume is left unoccupied in the cylinder?
This is calculated as:
Volume of Cylinder - Volume of sphere
= 226.19 cubic inches - 65.45 cubic inches
= 160.74 cubic inches
Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches
need help on this please
Answer:
5.7
Step-by-step explanation:
7^2- 4^2= 33
[tex]\sqrt{33}[/tex]= 5.7
calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years
Answer:
Compound interest = Rs 1,575 (Approx.)
Step-by-step explanation:
Given:
Amount invested = R.s 6,500
Rate of interest = 7.5% per annum
Number of year = 3 year
Find:
Amount of compound interest
Computation:
Compound interest = P[(1+r)ⁿ - 1]
Compound interest = 6500[(1+7.5%)³ - 1]
Compound interest = 6500[(1+0.075)³ - 1]
Compound interest = 6500[(1.075)³ - 1]
Compound interest = 6500[1.2423 - 1]
Compound interest = 6500[0.2423]
Compound interest = 1574.95
Compound interest = Rs 1,575 (Approx.)
3x + 5y = 23
y = x + 3
Answer:
(1,4)
Step-by-step explanation:
Easy 6th Grade Math. Help me out for 100 points <3
Answer:
the answer is 33
Step-by-step explanation:
for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts
Answer:
33 text
Step-by-step explanation:
Text : illustrations
3 2
For every 3 text, there are 2 illustrations
We have 22 illustrations so we need to multiply by 11
Text : illustrations
3*11 2*11
33 22
We need 33 text
4M
+N7
____
123
Determine the value of the missing digits
Answer:
M = 6
N= 7
Step-by-step explanation:
M + 7 = 3
M= 6
6 + 7 = 13, so we get 3 and carry 1
Now 1 + 4 + N = 12
1 + 4 + 7 = 12
So N = 7
Therefore,
46 + 77 = 123
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:
[tex] \frac{1}{2} \times b \times h[/tex]
Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)
[tex] \frac{1}{2} \times 6 \times 4[/tex]
3×4
12
Shades region:
238-12
=226
Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7
Answer:
2) -1
Step-by-step explanation:
Answer:
the answer is 2. -1...............
Mrs. Genebe worked all year
and earned $23,400. How
much did she earn per week?
Answer:
$450
Step-by-step explanation:
that's the right answer
hey! i’ll give brainliest please help
Answer:
A subject and a predicate
Step-by-step explanation:
Have a good day :)
I don’t not know how to do this and I’m struggling,please help.
Answer:
The answer is option c) 56.5 ft²
Step-by-step explanation:
Area of shaded region =
Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )
Area of 1st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of 2st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of big circle:
π x r²
r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )
Area = 3.14 x 6 x 6 => 113.04 ft²
Area of shaded region => 113.04 - (28.26 + 28.26 )
=> 113.04 - 56.52
=> 56.52 ft²
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
It's the first graph
Step-by-step explanation:
What are complementary and supplementary angles?
Answer:
Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.
Step-by-step explanation:
(self-explanatory)
I hope this helps, have a nice day.
Simplify the expression. Write your answer as a power.5^8/5^5
Answer:
5^3
Step-by-step explanation:
First, find 5 to the 8th power:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390, 625
Then, find 5 to the 5th power:
5 x 5 x 5 x 5 x 5 = 3,125.
Finally, divided the two numbers:
390, 625/3,125 = 125
Now, right this as a power:
5^3
A certain television is advertised as a 59-inch TV (the diagonal length). If the width of
the TV is 49 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
32.9 inches
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base = 49
c = hypotenuse = diagonal = 59
l² + 49² = 59²
l² = 59² - 49²
3481 - 2401 = 1080
find the square root
32.9 in