Answer:
j = 15
Step-by-step explanation:
The angles shown form a straight line
Angles on a straight line must add up to 180 degrees
Hence, 2j + 32 + 6j - 2 + 30 = 180
( note that we just created an equation that we can use to solve for j )
We now solve for j using the equation we created.
2j + 32 + 6j - 2 + 30 = 180
step 1 combine like terms
2j + 6j = 8j
32 - 2 + 30 = 60
we now have 180 = 8j + 60
step 2 subtract 60 from each side
60 - 60 cancels out
180 - 60 = 120
we now have 120 = 8j
step 3 divide each side by 8
120 / 8 = 15
8j / 8 = j
we're left with j = 15
What is the 6th term of the geometric sequence?
3,6, 12, 24, ...
A. 36
B. 27
C. 48
O D. 96
Answer:
96 is the 6th term of the geometric sequence
Step-by-step explanation:
The sequence is just adding the number twice to get the nect sequence.
So,
3+3 = 6
6+6 = 12
12+12 = 24
24+24 = 48
48+48 = 96 this is the 6th term
Hope this is helpful
find the area of a circle with a diameter of 4 ft ( Take pi = 3.14 ) round your solution to two decimal places. pls and Hurryyyyy!!!!
Step-by-step explanation:
pi x r^2
3.14 x (2×2) = 12.56
Answer:
area of circle=πr^2= 3.14*4ft=12.56ft
What’s the product of each question ?
Answer:
Ok I'm totally sure this is off but I seem to be tho only answer here so...
Step-by-step explanation:
7. 8x4y^7 z^2
8. 11x^4 y^3
9. x^9
10. x^7 +2^6
11. x^5 +2x^4 +5x^3
12. x^6 +3x^5 +2x^4 +11x^3 +4x^2
13. 4x^5 y+4x^2 y^3 +12x^3 y^2
14. 6x^4 y+3x5y^2
15. 6x^5 y^2 +18x^4 y^3+18x^2 y^5
16. 11x^6 y^3 +33x^5 y^5 +44x^4 y^4 +88x^3 y^4 +12x^5 y^3
Arithmetic and Geometric Sequences
When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.
How many feet would an object fall in the tenth second?
Answer:
the object will fall 5060 feet in 10 second.
Step-by-step explanation:
g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.
initial velocity (u)= 16 feet/second
time taken(t)=10 second
final velocity(v)= ?
now,
V= u+ GT
=16+32.67×10
=342.67feet/second
again
distance covered= VT+1/2gt^2
=342.67×10+1/2×32.67×100
=3426.7+1633.33
=5060 feet
Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.
Step-by-step explanation:
Given
The function is [tex]f(x)=x+4[/tex]
for [tex]x_2>x_1[/tex], we will check the values of [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex]
Take 3 and 4
[tex]f(4)=4+4\\f(4)=8[/tex]
Similarly,
[tex]f(3)=3+4\\f(3)=7[/tex]
Thus, [tex]f(4)>f(3)[/tex]
Also, [tex]f'(x)[/tex] is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.
You are playing darts with your friends. You get 10 points for bullseye-yellow, 5 for red, 3 for purple, and one for black. You throw 2 darts. Make a list to show all the possible scores you could get.
Answer:
10 and 10
10 and 5
10 and 3
5 and 3
3 and 5
Step-by-step explanation:
Can somebody who knows how to do probability plz help answer these questions correctly thank you! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS THESE :DDD!
Answer:
Blue: 3/6
Red: 2/6
Green: 1/6
Hope This Helps!
What is the fraction between 6/4 and 7/4 when subtracted
Answer:
-1/4
Step-by-step explanation:
we always keep the denominator the same if they are the same number and I just subtracted the numerator
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
Someone help me please
Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)
=========================================================
Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
-----------------------
To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
-----------------------
Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
-----------------------
You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
17 is the answer for the value of the term in the arithmetic sequence using the above
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 2?
Write your answer as a fraction in simplest form.
Answer:
2/3
Step-by-step explanation:
favorable numbers are 3,4,5,6
number of favorable events=4
total number of events=6
P=4/6=2/3
The formula below is the general form of which of the following formulas?
X= -b+-(√b^2 - 4ac)
/2a
A. Distance formula
B. Discriminant formula
C. Quadratic formula
D. Slope formula
Antwan determines the distance between the points –7 and 2 on a numberline. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?
Maggie’s solution is the absolute value of Antwan’s solution.
Antwan’s solution is the absolute value of Maggie’s solution.
Both solutions are greater than either of the two numbers in the problem.
Both solutions are less than either of the two numbers in the problem.
Answer:
Their solutions are related because they both are |9| (the absolute value of 9)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Antwan’s solution is the absolute value of Maggie’s solution.
A FOOTBALL MATCH STARTED AT 10:00AM AND FINISHED AT 2:30PM HOW LONG DID THE GAME LAST
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
Answer question 1 in the image
Answer:
The student is correct
Step-by-step explanation:
It has the numbers next to letter with a power so nit dose have a three term degree.
Find the slope from the two points given: (3,9) and (1,8)
Step-by-step explanation:
8-9= -1
1-3= -2
-1/-2= 1
Gradient or Slope= 1
how many solutions does -3x+12-9x+8=-3(4x-7)
Answer:
-3x+12-9x+8=-3(4x-7)
-3x+12-9x+8=-12x+21
-12x+21=-12x+21
21=21
infinitely many solutions
hope this helps
have a good day :)
Step-by-step explanation:
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
-3x + 12 - 9x + 8 = - 3(4x - 7)
Simplify the equation, then we have
- 3x + 12 - 9x + 8 = -3(4x - 7)
- 12x + 20 = - 12x + 21
12x - 12x = 1
(0) x = 1
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ3
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
Which of the following systems of equations has many solutions?
1.
2x + 3y = 6
y= 2x + 2
2.
8x - 4y= 12
y=2x-3
.
3
y= 4x + 3
y= 4x - 3
4.
2x + y = 4
-2x - y = 4
Answer:
This is very.....
Step-by-step explanation:
hard
Help please...no links...
Answer:
Using Pythagoras theorem we can find the missing length.
5^2 + 13^2
25 + 169 = 194
√194 = 13.9283882772 = around 13
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → A
phone, it can expect to sell 1,000-2x phones.
The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.
Answer the 2 questions below.
a) What are the X-Intercepts and what do they mean in this situation?
b) At what price should the company sell their phones to get the maximum revenue? Explain your reasoning
Answer:
Step-by-step explanation:
The x intercepts are 0 and
1000 - 2x = 0 given condition
1000 = 2x Divide by 2
500 = x
So the two intercepts are 0,0 and 500,0
The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.
The answer to the B part is completing the square.
r(x) = - 2x^2 + 1000x
r(x) = -2(x^2 - 500x )
1/2 ( 500) = 250
250^2 is what you put inside the bracket's to complete the square.
r(x) = - 2(x^2 - 500x + 250^2) + 2*250^2
r(x) = -2(x - 250)^2 + 2*62500
r(x) = - 2(x - 250)^2 + 125000
They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.
Could anyone offer a step by step on how to solve this problem?
Answer:
[tex]m\angle 1 = 40^\circ[/tex]
Step-by-step explanation:
First, notice that the two lines are parallel as indicated by the arrow.
Therefore, by the Alternate Interior Angles Theorem:
[tex]\angle 1\cong \angle 2[/tex]
So:
[tex]m\angle 1 = m\angle 2[/tex]
Substitute:
[tex](2x+20)=(3x+10)[/tex]
Solve for x. Subtract 2x from both sides:
[tex]20=x+10[/tex]
And subtract 10 from both sides:
[tex]x=10[/tex]
We know that:
[tex]m\angle 1 = 2x+20[/tex]
Substitute. Hence:
[tex]m\angle 1 =2(10)+20=40^\circ[/tex]
Find the value of x (Angles)
Answer:
x = 83
Step-by-step explanation:
The two angles form a right angle, which is 90 degrees
25+ x-18 = 90
Combine like terms
x +7 =90
Subtract x from each side
x+7-7=90-7
x = 83
Answer:
Hello! answer: x = 83
Step-by-step explanation:
This is a Complementary angle meaning it will add up to 90 degrees so...
83 - 18 = 65 65 + 25 = 90 therefore x = 83 Hope that helps!
Please someone help me please
Answer:
x = 21.46
Step-by-step explanation:
[tex]cos 56 = \frac{adjacent}{hypotenuse} = \frac{12}{x}\\\\x = \frac{12}{cos 56} = 21.46[/tex]
Answer:
Step-by-step explanation:
take 56 degree as reference angle
using cos rule
cos 56=adjacent/hypotenuse
0.55=12/x
x=12/0.55
x=21.81
x=21.8
I NEED HELP!!!! Solving quadratics
Answer:
y = ax2 + bx + c
Step-by-step explanation:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
Will give brainliest and 15 points
Statistics & Data
For this data set, there is an outlier. The outlier is four.
This is representing a small number of assignments required in math class that month.
This means that the correct answer is B.
Answer:
B
Step-by-step explanation:
The answer should be B or the second choice because the number 4 is unusually low compared to the rest of homework assignments given in the other math classes for that month. I made a graph to show how the number 4 is not near the number of homework assignments given in the other math classes.
If you think I missed something or made a mistake, please let me know.
A comet travels at an average speed of 282,000 km/h.
It takes 6 days for the comet to reach Earth.
Find the distance, in km, the comet travelled.
Answer:
40,608,000 km or 4.0608×[tex]10^{7}[/tex] km
Step-by-step explanation:
Speed(km/h) = Distance(km)/Time(Hours)
Distance = Speed × Time
6 days = 24 × 6 = 144 hours
282,000 km/h × 144 hours = 40,608,000 km
Johns family consume 50dl of milk every day/How many litres of milk did they consume on february 2020
Answer:
1450dl
Step-by-step explanation:
29 days X 50dl = 1450dl
