Answer:
[tex] \frac{15}{16} \\ \frac{90}{96} \\ \frac{135}{144 } [/tex]
Answer:
15/16, 90/96 and 135/144. hope it helps
Does this diverge or converge?
Answer:
L = 7/6 , and the correct option is B, the series diverges.
Step-by-step explanation:
Here we have that:
[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]
Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:
[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]
We can simplify the right part to get:
[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]
[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]
Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.
The first derivatives are:
For the denominator: (3*6)
For the numerator: (3*7)
Then we need to find the limit as n goes to infinity to:
[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]
But this does not depend on the value of n, then the limit is just 6/7.
L = 7/6
And 7/6 > 1.
Then we can conclude that our series diverges.
Graph the inequality on the number line. m≥2-3
Answer:
Step-by-step explanation:
m ≥ 2-3
m ≥ -1 (graph this on a number line)
Solve: 2/3(y+2)-5/6(y-1)=5/4(y-3)-4
please solve quickly :)
Answer:
y=7
Step-by-step explanation:
PLEASE HELP!!!! WILL GIVE BRAINLIEST TO BEST ANSWER ASAP!!! TIME SENSITIVE
Answer:
12
Step-by-step explanation:
a is 12
Match each fraction with the reduced, equivalent fraction.
The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle
Answer:
hope this helps
Step-by-step explanation:
Let a , b , c are three sides of a triangle
a : b : c = 3 : 4 : 5
a = 3x ,
b = 4x ,
c = 5x
a² = 9x²
b² = 16x²,
c² = 25x².
c² = a² + b²
by the pythagorean theorem,
a , b , c forms a right angled Triangle.
Answer:
yes it's a right angle triangle
Step-by-step explanation:
Given the sides are in the ratio 3:4:5.
Let ABC be the given triangle.
Let the sides be 3x,4x and hypotenuse be 5x.
According to Pythagoras theorem,
AC
2
=BC
2
+AB
2
BC
2
+AB
2
=(3x)
2
+(4x)
2
=9x
2
+16x
2
=25x
2
AC
2
=(5x)
2
=25x
2
AC
2
=BC
2
+AB
2
Hence ABC is a right angled triangle
Can please anyone help me
Answer:
y-17=5(x+2)
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
y1 = y coordinate
m = slope
x1 = x coordinate
so you put in the x and y coordinates from the ordered pair into the equation
There are 45 students who participate in track. Of these, 18 do an event other than running. What percent of the students do an event other than running?
Answer:
27
Step-by-step explanation:
To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.
Answer:
40%
Step-by-step explanation:
18÷45 = 0.4 × 100 = 40%
help me please!!!!!!!!
Answer: it would be 4/2
Step-by-step explanation:
Answer:
the slope is 4/2, which can be simplified to 2/1.
Step-by-step explanation:
to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!
Find the values of p and g such that
4x² + 12x = 4(x + p)^2-q
Answer:
q=8xp+4p²-12x
Step-by-step explanation:
its easy
If ab = 5 and a + b =10 Evaluate a^2 + b^2
Step-by-step explanation:
a^2=10+b^2=10 10+10=20
y = 5x – 2
y = x + 6
What’s the Solutions
plz help tysm!!!!!!!!!!!!!!!!!!!!
Answer:
y = x - 7
Step-by-step explanation:
Slope - intercept form: y = mx + b
2x - 2y = 14
-2y = -2x + 14
Divide the equation by (-2)
[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]
y = x - 7
omggggggggg please please help meeeeeeeeee
Answer:
9
Step-by-step explanation:
9-7= 2
2<3
Answer: B
x < 10
Step-by-step explanation:
X - 7 < 3
X < 3 + 7
X < 10
The product of 3 and m is less than 7
Answer:
Step-by-step explanation:
3m < 7
Product means multiply, less than means less than sign.
Can someone help and please make sure it’s right :)
Which of the following r-values represent perfect correlation coefficients
PLEASE
Answer:
1.00 and -1.00
Step-by-step explanation:
A correlation of 0.0 shows no linear relationship between the movement of two variables.
And the values range between -1.00 and 1.00
Burger = 8.00
Fries = 2.00
Drink = 1.00
Tax = 7%
Tip = 20%
Total = _______
Answer:
$13.79
Step-by-step explanation:
$8.00+$2.00+$1.00=$11.00
7%=$0.77
$11.00+$0.77=$11.77
20%=$2.02
$11.77+42.02=$13.79
15w - 4 = 41 w=___ help
Answer:
[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]
peter had 8 blue , 3 red and 5 green pencils. what fraction of the pencils were blue?20 points!!!
Answer:
1/2
Step-by-step explanation:
You take the number of blue pencils and divide it by the total # of pencils.
hope this helps! :D
Helppp please I have a 25 in math
Write this ratio as a fraction in simplest form without any units
28 days to 5 weeks
You can use the table below to help convert the units.
1 minute = 60 seconds
1 hour
60 minutes
1 day = 24 hours
1 week = 7 days
The ratio as a fraction will be 4 : 5 or 4/5.
The ratio given is ; 28 days to 5 weeks .
We have to find out this ratio as a fraction in the simplest form ?
What will be the value of ratio ; 2 : 4 will be ?
The value will be 1 : 2.
We have to change given ratio as a fraction in simplest form for ;
28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.
∵ No. of days in 1 week = 7 days
⇒ No. of days in 5 weeks = 7 × 5 = 35 days
The ratio as the fraction will be ;
[tex]\frac{28 days}{35 days}[/tex]
taking 7 common from both numerator and denominator.
= [tex]\frac{4}{5}[/tex]
Thus , the ratio as a fraction will be 4 : 5.
To learn more about ratio click here :-
https://brainly.com/question/23621804
#SPJ2
PLSSSSS HELP ME BEST ANSWER GETS BRAINLIEST
Answer:
40
Step-by-step explanation:
basexheight= area
8x10= 80
80/2=40
pls brainliest
the table below shows the speed of a falling object that every second within the first 5 seconds of its downward motion based on the relationship between speed and time that the same will suggest which equation can be used to find the speed of the object at t seconds A. 8=t/32 B. S=32t C. S=32-t D. s=t+32
Answer:
B. s = 32t
Step-by-step explanation:
The equation would be in the form of s = mt.
Where, m = rate of change
Find rate of change using any two values given in the table, say (1, 32) and (2, 64)
Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32
✔️To write the equation, substite m = 32 into s = mt
s = 32t
I don't know how to evaluate an algebraic expression. How can I evaluate an algebraic expression?
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. if it's 6÷x=3, do 6÷3=2 to get the value of x. 6÷2=3.
The cost price of a boat is marked up by 8%.
a. Calculate the cost price if the marked up price is $43200.
Answer:
$40000
Step-by-step explanation:
The formula is x*1.08 = 43200. If you want to find the original price then isolate x. x*1.08 = 43200 -> x = 40000.
Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
explanation: This is the edmentum answer
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
Step-by-step explanation:
Which expression is equivalent to 74% of 12?
0.74 x 12
74 x 12
7.4 x 12
O 7.4 + 12
Answer:
0.74x12
Step-by-step explanation:
Answer:
hello! :) have a good day!
74% of 12 is 8.88
So it would be
0.74 x 12 = 8.88
(BRAINLIEST IF CORRECT HURRY!)
Chris wraps presents at a local gift shop. If it takes 1.3 meters of wrapping paper per present, how many can Chris wrap if he has 50 meters of wrapping paper?
A. 37
B. 38
C. 40
D. 41
Answer:
B) 38
Step-by-step explanation:
Divide 50 by 1.3 to find how many presents Chris can wrap. It comes out to approximately 38.46, but because Chris cannot wrap 0.46 of a present, he can wrap up to 38 presents.