Answer:
5 terms
Step-by-step explanation:
Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.
1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005
5ⁿ⁺¹ (n+1)! ≥ 200,000
Use trial and error to find the value of n (notice that n starts at 0).
n = 0, 5ⁿ⁺¹ (n+1)! = 5
n = 1, 5ⁿ⁺¹ (n+1)! = 50
n = 2, 5ⁿ⁺¹ (n+1)! = 750
n = 3, 5ⁿ⁺¹ (n+1)! = 15,000
n = 4, 5ⁿ⁺¹ (n+1)! = 375,000
n = 4 is the fifth term. So it takes 5 terms.
Show that (3m+4n)2 –48mn= (3m-4n)2
Answer:
Please see the attached picture.
What is the slope of the line on the graph below
o1/5
o1/3
o3
o5
Hurry ASAP
5,395
- 2,697
How do you solve?
Answer:
2698
Step-by-step explanation:First you take 1000 from 5000 and then distribute it to 395
Answer:
you would subtract 2697 from 5395. you have it in the correct format. the answer would be 2,698.
Step-by-step explanation:
Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn
Answer: Eric earned $7
Step-by-step explanation:
Let's define:
R = money that Robert earned.
E = Money that Eric earned.
Now we want to find how much money did Eric earn.
We know that:
R = $10 = 2*E - $4
Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:
2*E = $10 + $4 = $14
E = $14/2 = $7
Eric earned $7
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
(Diagrams are not to scale)
AD= ? ft
Answer: 300ft
Step-by-step explanation:
Find the common difference of the arithmetic sequence 10,1,-8,...
Common difference = Second term - first term
Common difference = 1 - 10
Common difference = - 9
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.
Answer:
7 is the Anwser
Step-by-step explanation:
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
find the value ofx in the equation 3x+1=×+9.
Answer:
x = 4
Step-by-step explanation:
First, you subtract 1 from both sides, giving you 3x = x + 8
Then you subtract 1x from both sides, so 2x = 8
Divide the 2 from both sides which leaves you with the answer, x = 4
Can someone please help, ty!!
Answer:
32
Step-by-step explanation:
slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (32 - 14) / 0 - (-6)
= 18 / 6
= 3
y-intercept, use any point to determine b, let's use (2, 38) :
y = mx + b
38 = 3(2) + b
38 = 6 + b
b = 32
What is 1 over 4 multiplied by 7 over 2
Answer:
7/8
Step-by-step explanation:
Answer:
1/4 x 7/2
First, let's convert each fraction into percentages.
1/4= 25%
7/2= 350%
Now just multiply them together.
25x350= 8750
Convert it back into a fraction.
8750% = 175/2 = 871/2 as a fraction.
Hope this helps!
Molly is planting the flowers using the proportional relationship of 18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row
Answer:
3 : 2.
Step-by-step explanation:
18 : 12 Divide both values by 6:
= 3 : 2.
Answer:
Step-by-step explanation:1.5
The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?
x = measure of the angle
180 - x = measure of supplement {supplementary angles add up to 180}
x = 74(180 - x) {measure of the angle is 174 times the supplement}
x = 13,320 - 74x {used distributive property}
75x = 13,320 {added 74x to each side}
x = 177.6 {divided each side by 177.6}
the angle is 177.6
the supplement is 2.4
Help please ASAP will mark brainliest!!!!
Answer:
43
Step-by-step explanation:
Find the median of the following data
2,8,7,8,6,15,6,8,3
Answer:
7
Step-by-step explanation:
Median is the middle value in a list of values arranged in increasing order.
The values given are :2,8,7,8,6,15,6,8,3
Arrange values in ascending order as: 2,3,6,6,7,8,8,8,15
The middle value is: 2,3,6,6,7,8,8,8,15
Median is 7
5
Which input value produces the same output value for
the two functions on the graph?
x = -1
x = 0
x = 1
x = 2
Answer:
x = 1
Step-by-step explanation:
Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.
The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.
The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.
Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.
A model rocket is launched from the roof of a building. Its flight path is modeled
by h = -5t^2 +30t +10 where h is the height of the rocket above the ground in
metres and r is the time after the launch in seconds.
What is the rocket's maximum height?
Answer:
55
Step-by-step explanation:
This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]
Will give brainliest! Which linear equation has a slope of -2 and a y-intercept of -3?
a
y = 3x + 2
b
y = 3x - 2
c
u = - 2x + 3
d
y = -2x - 3
Answer:
D. y = -2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m is slope
b is y-intercept
Step 1: Define variables
m = -2
b = -3
Step 2: Substitute
y = -2x - 3
Answer:
D
y = -2x -3
Step-by-step explanation:
Hey there!
A linear equation starts with y.
y =
The slope is X (-2)
y = -2x
The y-intercept is -3
y = -2x - 3
~I hope I helped you! :)~
Which of the following ordered pairs is a solution to the inequality y>−2x+7?
Answer: x>-1/2y+7/2
Step-by-step explanation:
How do you know if a sum or product will result in a rational or irrational number?
Jayden wants to buy a sweater that costs 20 there is a coupon for 30% off if Jayden uses the coupon how much will the sweater cost?
Please help
Answer: $14.00
Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).
So, 20 × .30 = 6
She gets $6.00 off the original price.
$20.00 - $6.00 = $14.00
Plz mark brainliest:)
A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Answer:
The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
Step-by-step explanation:
The net change in 7 students' scores on the exam after completing the course are:
S = {37 ,12 ,12 ,17 ,13 ,32 ,23}
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]
As the population standard deviation is not known, a t-interval will be formed.
Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:
[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]
*Use a t-table.
Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]
Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
the distribution of the diameters of douglas fir trees in a plot of national forest land is approximately normal with a standard deviation of 1.6 inches. how does the diameter of a douglas fir tree in the 28th percentile compared with the mean diameter
Answer:
1.0
Step-by-step explanation:
this is a aplication of the terms
Coach Brown made 50 pints of Gatorade for his team. How many gallons did he make?
Answer:
6.25 gallons
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
is (5 , -11) a solution to a function y= -2x+1
Answer:
No
Step-by-step explanation:
y = -2x + 1
(-11) = -2(5) +1 \ Plug-in the values from the point given
-11 = -10 + 1 \ Reduce
-11 = -9 \ Simplify
-11 ≠ -9 \ Determine the valididity
Rewrite the statement as an equation. $10
for each x plus $5 for each y equals $1500
Answer:
10x+5y=1500
Step-by-step explanation:
I don't know how to explain this but i think this is right.
how to solve
2(x+4)=2x+5
Step-by-step explanation:
2x+8=2x+5
2x-2x=15-8
0x=7
Marshall paid $277.13 for a new golf club, after tax, and the tax rate is 7%. What was the original price of the golf club?
Answer:
257.73
Step-by-step explanation:
93% of 277.13 is 257.73
Answer:
It’s actually $259
Corey earned
$3,200 working over the summer. If he
made $400 each week, how many weeks
did he work? How many weeks would he
need to work to earn $6,400? $8,800?
Answer:
He would need to work 8 weeks for 2300, 16 for 6400, and 22 for 8800
Step-by-step explanation:
You have to divide 3,200 by 400 since thats how much he makes in a week
that gives you 8
and you do the same for the rest
equation:
money wanted/400=weeks
Answer:)
he work for 8 weeks to earn 3,200
he needs to work 8 more weeks to earn 6,400
he needs to work 14 more weeks to earn 8,800
Step-by-step explanation:
ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!