Answer:
38.75
Step-by-step explanation:
perimeter = 2(15.6+3.8) =38.8
lower bound = the smallest value that would round up to the estimated value =38.75
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.
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.
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
f(x) = 3x - 1
Step-by-step explanation:
[tex]y - 5 = 3(x - 2) \\ y - 5 = 3x - 6 \\ y = 3x - 6 + 5 \\ y = 3x - 1[/tex]
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
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.
Plsssssssssssssssss help fast
Answer:
yes tht right pls mark me branilest
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.
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
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.
-(-v+y)-4(2y-4v)
How do I simplify this?
Step-by-step explanation:
hope you understand.
first simplify it by arranging correct signs then it's just subtraction or addition.
A.38°
B.136°
C.112°
D.92°
Answer:
Step-by-step explanation:
( C ). 112°
7. What's the perimeter of a rectangle with length 12 m and width 5 m?
A. 60 m
B. 49 m
C. 34 m
D. 17 m
Answer:
Option(c) 34m
Step-by-step explanation:
Perimeter of a rectangle = 2(length + breadth)
length = 12m
breadth/width = 5m
Perimeter = 2(12 + 5)
= 2(17)
= 34m
Answer:
34
you just add, 12+5+12+5 to get 34
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
how many inches is in 140 feet?
Hey there!
The formula for feet to inches is to simply multiply the length value by 12.
So, multiply 140 by 12.
I believe your answer would be 1680 inches.
Hope this helps!
Have a great day!
Answer:
140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.
Step-by-step explanation:
A foot is 12 inches, so you must multiply 140 by 12.
[tex]140\times12=1680[/tex]
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
what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square
Its 1
Doubled:-
[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]
Tripled[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]
I need help on this problem
36-12x/6
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
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:
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
[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]
Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00
a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
Learn more about calculating monthly payments at https://brainly.com/question/24576997
Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
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!
whats 40 euros to usd?
Answer:
47.06 United States Dollar
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
47.6 US DollarsHope it helpsThanks.There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.
Answer:
1/3÷5
=1/3×1/5
=1/15
each child receive 1/15 of cake
What is the value of x?
Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:
40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.
Answer:
Step-by-step explanation:
40905
40509
50095
40059
Is greatest to least. You want it to go the other way around.
40059
40095
40509
40905
The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.
In the number 6.253
(a) What is the place value of 2 ...................................................................
(b) What is the value represented by 5 ...................................................................
Answer:
place value of 2 is 100
Step-by-step explanation:
please brainleist my answer
Answer:
The place value of 2 in 6.253 is 200
Step-by-step explanation:
Place value of 2 is occurring in hundreds
Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.
Answer:
The last one
Step-by-step explanation:
It doesn't make sense for that to be true
Find the inverse of g(x)=2x-3
Answer:
g^-1(x)=x/2+3/2
Step-by-step explanation:
