Answer:
Below
Step-by-step explanation:
To find the total cost of Jorge's dinner, all you need to do is multiply the cost of his dinner by 1.15 (the tip amount)
$45.50 x 1.15 = 52.325
= $52.33
Hope this helps!
select the line segment
I need help on this problem
36-12x/6
you have 6 white socks and 6 black socks in your drawer all mixed up and identical in all but colour you need a pair but cannot see as it is dark and the power has gone . how many socks do you need to pick up to ensure you get at least one matching one
Answer:
3
Step-by-step explanation:
This is a classic puzzle! If you pick out three socks, and they have only 2 colors, you'll get at least one match because they can't be 3 different colors.
6. Solve for x: 23x+1 = 210
Please please give detailed steps!! thank you
Answer:
x = 3
Step-by-step explanation:
Given
[tex]2^{3x+1}[/tex] = [tex]2^{10}[/tex]
Since bases on both sides are equal, both 2, then equate the exponents
3x + 1 = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
This is the answer but can someone do the work plss??
Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?
how many months?
Use the converse of the Pythagorean Theorem to check whether a triangle whose sides are of lengths 11, 60, and 61 is a right triangle.
First square the lengths of the sides.
11^2 =
60^2 =
61^2 =
Answer:
yes a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' theorem.
If the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 61 and 61² = 3721 , then
60² + 11² = 3600 + 121 = 3721
Since 61² = 60² + 11² then the triangle is right.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?
Answer:
.75
Step-by-step explanation:
8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles
P( not blue) = marbles that are not blue / total
=(8red+1 green) / 12
=9/12
= 3/4
.75
A TV station has 11 minutes of commercials for each 60 minutes of air time. What percent
of air time is used for commercials?
Answer: Approximately 18.33%
Work Shown:
11/60 = 0.1833 approximately
This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.
Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct
Answer:
Step-by-step explanation:
First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.
If x + 2k is a factor of that polynomial, then by the Zero Product Property
x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,
[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]
Answer:
the answer is in picture
What is the probability of getting tails on two coins only (there are 3 coins by the way)
Answer:
1/2
please mark me brainliest
Find the inverse of g(x)=2x-3
Answer:
g^-1(x)=x/2+3/2
Step-by-step explanation:
Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
Step 1: 2(5y - 1) = 18
Step 2: 10y - 1 = 18
Step 3: 10y = 19
Step 4: y = 1.9
Which statement is true about Ken's method?
A. Ken made a mistake between Steps 1 and 2.
B. Ken made a mistake between Steps 2 and 3.
C. Ken made a mistake between Steps 3 and 4
D. Ken solved the equation correctly.
Answer:
A
Step-by-step explanation:
in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18
Question 9 What is the predecessor of - 5?
Question 11. Write the following integers in their increasing order. - 3,0,- 6,5, – 4, 6, 3, -8
Question 15. Find the sum of the following integers: (a) (-8) + (+ 5) + (-3) + (-2) (B) (- 7) + (- 9) + (+4) + (+3)
Step-by-step explanation:
1) -4
2) -8, -6, -4, -3, 0, 3, 5
3) (a) -8 + 5 - 3 - 2
-13 + 5
-8
(b) -7 - 9 + 4 + 3
-7 - 9 + 7
-9
HELPPPPPP!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
no need to panic !
it is actually totally easy.
we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.
VT is almost a straight line (then that angle would be 180 degrees). but only almost ...
anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.
so
(14x - 11) + (12x + 7) = 178
14x - 11 + 12x + 7 = 178
26x - 4 = 178
26x = 182
x = 7
A $800 T.V. Is on sale for 15% off. What is the cost of the T.V.
Answer:
$680
Step-by-step explanation:
original price=$800
discount = 15%
discount in dollars= $800 *15%
discount=$120
cost=$800-$120
cost=$680
Alicia is writing the program for a video game. For one part of the game she uses the rule ( x,y) -> ( x - 3, y + 4) to move points on the screen. A) What output does the rule give when the input is ( -6, 0)? Show your work. B) What output does the rule give when the input is ( 3, -4)? Show your work. C) Is the rule a function? Explain why it is or why it is not. ( Show all work and you'll recieve Brainliest).
Answer:
See below.
Step-by-step explanation:
The rule moves points 3 units to the left and 4 units up.
(-6, 0) moves to (-6 - 3, 0 + 4) = (-9, 4)
(3, -4) moves to (3 - 3, -4 + 4) = (0, 0)
The rule is a function because each point is moved to exactly one new location. There is no case in which two different points are moved to the same location.
Do you guys know this because I was trying to submit but it don’t let me I put 7/6 but it say I need different Way
Answer:
is 5
Step-by-step explanation:
Hope it is helful...Answer:
5
Step-by-step explanation:
So first when dividing fractions you need to invert and multiply. Thus the fraction becomes:
1/4 * 20/1.
When simplified it becomes 20/4 which is 5.
HOPE THIS HELPED
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________
Find the percentage of the people who like Chocolate = chocolate/ total x 100
Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)
A full circle is 360 degrees.
The central angle = percentage of chocolate x 360:
0.416666 x 360 = 150
The central angle for chocolate is 150 degrees
[tex]\lim_{n \to \0}(x/(tan(x))^(cot(x)^2 )[/tex]
It looks like the limit you want to compute is
[tex]\displaystyle L = \lim_{x\to0}\left(\frac x{\tan(x)}\right)^{\cot^2(x)}[/tex]
Rewrite the limand with an exponential and logarithm:
[tex]\left(\dfrac{x}{\tan(x)}\right)^{\cot^2(x)} = \exp\left(\cot^2(x) \ln\left(\dfrac{x}{\tan(x)}\right)\right) = \exp\left(\dfrac{\ln\left(\dfrac{x}{\tan(x)}\right)}{\tan^2(x)}\right)[/tex]
Now, since the exponential function is continuous at 0, we can write
[tex]\displaystyle L = \lim_{x\to0} \exp\left(\dfrac{\ln\left(\dfrac{x}{\tan(x)}\right)}{\tan^2(x)}\right) = \exp\left(\lim_{x\to0}\dfrac{\ln\left(\dfrac{x}{\tan(x)}\right)}{\tan^2(x)}\right)[/tex]
Let M denote the remaining limit.
We have [tex]\dfrac x{\tan(x)}\to1[/tex] as [tex]x\to0[/tex], so [tex]\ln\left(\dfrac x{\tan(x)}\right)\to0[/tex] and [tex]\tan^2(x)\to0[/tex]. Apply L'Hopital's rule:
[tex]\displaystyle M = \lim_{x\to0}\dfrac{\ln\left(\dfrac{x}{\tan(x)}\right)}{\tan^2(x)} \\\\ M = \lim_{x\to0}\dfrac{\dfrac{\tan(x)-x\sec^2(x)}{\tan^2(x)}\times\dfrac{\tan(x)}{x}}{2\tan(x)\sec^2(x)}[/tex]
Simplify and rewrite this in terms of sin and cos :
[tex]\displaystyle M = \lim_{x\to0} \dfrac{\dfrac{\tan(x)-x\sec^2(x)}{\tan^2(x)}\times\dfrac{\tan(x)}{x}}{2\tan(x)\sec^2(x)} \\\\ M= \lim_{x\to0}\dfrac{\sin(x)\cos^3(x) - x\cos^2(x)}{2x\sin^2(x)}[/tex]
As [tex]x\to0[/tex], we get another 0/0 indeterminate form. Apply L'Hopital's rule again:
[tex]\displaystyle M = \lim_{x\to0} \frac{\sin(x)\cos^3(x) - x\cos^2(x)}{2x\sin^2(x)} \\\\ M = \lim_{x\to0} \frac{\cos^4(x) - 3\sin^2(x)\cos^2(x) - \cos^2(x) + 2x\cos(x)\sin(x)}{2\sin^2(x)+4x\sin(x)\cos(x)}[/tex]
Recall the double angle identity for sin:
sin(2x) = 2 sin(x) cos(x)
Also, in the numerator we have
cos⁴(x) - cos²(x) = cos²(x) (cos²(x) - 1) = - cos²(x) sin²(x) = -1/4 sin²(2x)
So we can simplify M as
[tex]\displaystyle M = \lim_{x\to0} \frac{x\sin(2x) - \sin^2(2x)}{2\sin^2(x)+2x\sin(2x)}[/tex]
This again yields 0/0. Apply L'Hopital's rule again:
[tex]\displaystyle M = \lim_{x\to0} \frac{\sin(2x)+2x\cos(2x)-4\sin(2x)\cos(2x)}{2\sin(2x)+4x\cos(2x)+4\sin(x)\cos(x)} \\\\ M = \lim_{x\to0} \frac{\sin(2x) + 2x\cos(2x) - 2\sin(4x)}{4\sin(2x)+4x\cos(2x)}[/tex]
Once again, this gives 0/0. Apply L'Hopital's rule one last time:
[tex]\displaystyle M = \lim_{x\to0}\frac{2\cos(2x)+2\cos(2x)-4x\sin(2x)-8\cos(4x)}{8\cos(2x)+4\cos(2x)-8x\sin(2x)} \\\\ M = \lim_{x\to0} \frac{4\cos(2x)-4x\sin(2x)-8\cos(4x)}{12\cos(2x)-8x\sin(2x)}[/tex]
Now as [tex]x\to0[/tex], the terms containing x and sin(nx) all go to 0, and we're left with
[tex]M = \dfrac{4-8}{12} = -\dfrac13[/tex]
Then the original limit is
[tex]L = \exp(M) = e^{-1/3} = \boxed{\dfrac1{\sqrt[3]{e}}}[/tex]
A.38°
B.136°
C.112°
D.92°
Answer:
Step-by-step explanation:
( C ). 112°
9. ax + by = (a - b), bx - ay = (a + b)
Answer: give me brainliest
Step-by-step explanation:
ax+by=a-b
ax=a-b-by
x=a-b-by/a←
bx-ay=a+b
substituting
b(a-b-by/a)-ay=a+b
ab-b²-b²y/a-ay=a+b
ab-b²-b²y-a²y/a=a+b
ab-b²-(b²+a²)y=a²+ab
-(b²+a²)y=a²+ab-ab+b²
(b²+a²)y=-(a²+b²)
y=-(a²+b²)/a²+b²
y=-1←
substituting value of y
x=a-b-b(-1)/a
x=a-b+b/a
x=a/a
x=1
Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.
Answer:
X=2
Step-by-step explanation:
8-x=6
there the answer is 2
If Angle 1 = 26, find the measure of angle 4
Answer:
104
Step-by-step explanation:
The measure of angle 4 for the given parallel lines and angle is equal to 26°.
In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.
As per the diagram,
Angle 1 is vertically opposite angle to angle 2.
This implies,
Measure of angle 1 = Measure of angle 2.
Here, Measure of angle 1 = 26 degrees.
⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)
Now , Angle 2 and angle 4 are corresponding angles.
⇒measure of angle 2 = measure of angle 4
⇒ Measure of angle 4 = 26 degrees.
Therefore, the measure of angle 4 is equal to 26°.
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Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x
Answer:
-9x+20
Step-by-step explanation:
Simplify. 3√-28
A 2i√7
B 12i√7
C 61√7
D -6i√7
Answer:
C
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle 3 \sqrt{-28}[/tex]
Rewrite:
[tex]\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}[/tex]
Rewrite:
[tex]\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}[/tex]
Simplify. Let i = √(-1). Hence:
[tex]\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}[/tex]
Multiply:
[tex]\displaystyle = 6i\sqrt{7}[/tex]
In conclusion, our answer is C.
44) The length of a rectangle is 15.6 cm correct to 1 decimal place.
The width of a rectangle is 3.8 cm correct to 1 decimal place.
Calculate the upper bound for the perimeter of the rectangle.
Answer:
Perimeter = 38.8m
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
39cm
Step-by-step explanation:
When you find the upper and lower bounds of values with decimals, you will decrease or increase the value by increments of 0.05. Since we are just trying to find the upper bound we will add 0.05 to the values we are given.
15.6 + 0.05 = 15.65cm
3.8 + 0.05 = 3.85cm
Now that we have those values, we can find the perimeter using the formula [ 2(L + W) ]
= 2(15.65 + 3.85)
= 2(19.5)
= 39cm
Best of Luck!
Answer the question with explanation;
Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute
[tex]\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0[/tex]
Therefore, by the series divergence test, the series [tex]\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}[/tex] diverges.
EDIT: To VectorFundament120, if [tex](x_n)_{n\in\mathbb N}[/tex] is a sequence, both [tex]\lim x_n[/tex] and [tex]\lim_{n\to\infty}x_n[/tex] are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
Answer:
[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]
General Formulas and Concepts:
Calculus
Limits
Special Limit Rule [Coefficient Power Method]: [tex]\displaystyle \lim_{x \to \pm \infty} \frac{ax^n}{bx^n} = \frac{a}{b}[/tex]Series Convergence Tests
nth Term Test: [tex]\displaystyle \sum^{\infty}_{n = 1} a_n \rightarrow \lim_{n \to \infty} a_n[/tex]Integral Test: [tex]\displaystyle \sum^{\infty}_{n = a} f(n) \rightarrow \int\limits^{\infty}_a {f(x)} \, dx[/tex]P-Series: [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Limit Comparison Test (LCT)Alternating Series Test (AST)Ratio Test: [tex]\displaystyle \sum^{\infty}_{n = 0} a_n \rightarrow \lim_{n \to \infty} \bigg| \frac{a_{n + 1}}{a_n} \bigg|[/tex]Step-by-step explanation:
*Note:
Always apply the nth Term Test as the first test to use for convergence.
Rules:
If [tex]\displaystyle \lim_{n \to \infty} S_n = 0[/tex], then the nth Term Test is inconclusive.If [tex]\displaystyle \lim_{n \to \infty} S_n = l[/tex] (some number l), then the series is divergent by the nth Term Test.Step 1: Define
Identify
[tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2}[/tex]
Step 2: Find Convergence
Substitute in variables [nth Term Test]: [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} \rightarrow \lim_{n \to \infty} \frac{n^2}{(n + 1)^2}[/tex]Expand: [tex]\displaystyle \lim_{n \to \infty} \frac{n^2}{(n + 1)^2}= \lim_{n \to \infty} \frac{n^2}{n^2 + 2n + 1}[/tex]Evaluate limit [Special Limit Rule - Coefficient Power Method]: [tex]\displaystyle \lim_{n \to \infty} \frac{n^2}{(n + 1)^2} = 1[/tex]Compute [nth Term Test]: [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}[/tex]∴ by the nth Term Test, the series diverges.
Topic: AP Calculus BC (Calculus I + II)
Unit: Convergence Tests
Gabby recorded the number of points she scored in her first 7 Basketball games. Which box and wiskers is correct?
Answer:
There is no Image
So Instead
There should be the lowest extreme aka 0, and hights extreme (Whatever number is last) Then you've got average (The Middle) and n the middle of it is the median.
what is 3/11 divided by 2/5 equal?
Answer:
15/22
Step-by-step explanation:
3/11 ÷ 2/5
3/11 x 5/2
3/11 x 5/2 = 15/22
3/11 divided by 2/5 is equal to 15/22.
Here, we have,
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by flipping the numerator and denominator.
Let's calculate 3/11 divided by 2/5:
(3/11) ÷ (2/5)
To divide, we multiply by the reciprocal:
(3/11) * (5/2)
Now, multiply the numerators together and the denominators together:
(3 * 5) / (11 * 2) = 15/22
Therefore, 3/11 divided by 2/5 is equal to 15/22.
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