Answer:
no
Step-by-step explanation:
using Pythagorean theorem:
\(26^{2} +42^{2}=50^{2}\)
676+1764=2500
2440=2500
2440<2500
Answer:no
Solve for x
\(2x + 5 = 15\)
Answer:
\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ \)
2x=15-5
x=10/2=5
Hope it helps you.
Have a good day.
12 POINTS PLEASE HELP
Given f(-2)=0, find the zeros of the function below by using division and factoring
f (x) x^3 + 12x^2 + 46x + 52
Answer:
{x}={2}
{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}
{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}
In Problems 1-14, solve the given initial value problem using the method of Laplace transforms. 1. y" – 2y' + 5y = 0; y(0) = 2, y'(0) = 4 3. y" + 6y' +9y = 0; y(0) = -1, y'(0) = 6 7. y" - 7y' + 10y = 9 cost + 7 sint; y(0) = 5, y'(0) = -4
The initial value problems can be solved using the method of Laplace transforms. For problem 1, the solution is y(t) =\(e^t(cos(2t) + 3sin(2t))\). For problem 3, the solution is y(t) = \(e^(-3t)\)(2cost - sint). For problem 7, the solution is y(t) = 2e^(2t) + 3e^(5t) + (2/3)cost - (1/3)sint.
For problem 1, taking the Laplace transform of y" - 2y' + 5y = 0 gives us s^2Y(s) - 2sY(s) + 5Y(s) = Y''(s) - 2sY(s) + 5Y(s) = 0. Applying the initial conditions, we get Y(s) = \((s + 1)/(s^2 - 2s + 5)\). Simplifying and finding the inverse Laplace transform, we obtain y(t) = \(e^t\)(cos(2t) + 3sin(2t)).
For problem 3, taking the Laplace transform of y" + 6y' + 9y = 0 gives us s^2Y(s) + 6sY(s) + 9Y(s) = Y''(s) + 6sY(s) + 9Y(s) = 0. Applying the initial conditions, we get Y(s) = \((s + 3)/(s^2 + 6s + 9)\). Simplifying and finding the inverse Laplace transform, we obtain y(t) = e^(-3t)(2cost - sint).
For problem 7, taking the Laplace transform of y" - 7y' + 10y = 9cost + 7sint gives us \(s^2Y(s)\) - 7sY(s) + 10Y(s) = \((9s)/(s^2 + 1)\) + \((7)/(s^2 + 1).\)Applying the initial conditions, we get Y(s) = \((9s + 7)/(s^2 - 7s + 10).\) Simplifying and finding the inverse Laplace transform, we obtain y(t) = \(2e^(2t) + 3e^(5t) + (2/3)\)cost - (1/3)sint.
These solutions are obtained by applying the method of Laplace transforms to the given initial value problems, providing the solutions in the time domain.
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Four packs of a certain brand of T-shirts cost
$
220.
Each pack costs the same amount of money and contains
5
T-shirts.
What is the cost per T-shirt?
Answer:
$11
Step-by-step explanation:
Four packs of T-shirt each with 5 T-shirts= 20 T-shirts
4*5=20 T-shirts
Total amount=$220
$220/20=$11
Another teacher has a monthly salary of $2000 She spends $943 per month on rent Her monthly salary then increases by 15% What percentage of her new monthly salary does the teacher spend on rent?
Answer:
47.15%
Step-by-step explanation:
Getting a raise of 15% would increase the teacher's salary by 300. 943 of 2300 is 47.15%.
The radius of a circle is 17 cm. Find its circumference in terms of \piπ.
Answer:
34 π
Step-by-step explanation:
Circumference of a circle = 2 π r
The radius of a circle is 17 cm; therefore, r = 17
Substitute this into the equation.
2 π * 17 = 34 π
Answer:
C=2πr=2·π·17≈ 106.81415cm
Step-by-step explanation:
PLS HELP ALL THIS IS DUE TOMORROW AND I HAVE NO TIME ! ( the red box is the stuff I need answers for )
Answer:
The answers are all below.
Step-by-step explanation:
7. Yes
Plug 10 in for t
10-3 ≥ 2
7 ≥ 2
8. No
Plug 1 in for w
6(1) < -2
6 < -2 (Nope)
9. Yes
Plug 5 in for p
5 + 1.6 ≤ 4
6.6 ≤ 4
10. Yes
Plug 0 in for d
\(\frac{1}{2}\)(0) > -3
0 > -3
11.
1(------------------>k
12.
n<------------------]2.5
13.
In order to try out for one of the parts in a play at the local theater, you must be at most 12 years old. Write an inequality that represents this situation.
x≤12
x<-----------------]12
14. Yes
Plug 2 in for h
3(2) - 7 < 2
Simplify
6 - 7 < 2
-1 < 2
15. No
Plug -12 in for q
-12 + 8 ≥ \(\frac{-12}{4}\)
Simplify
-4 ≥ -3 (Nope)
16.
a. Yes
Plug 0 in for x
-2(0) < 10
and
-6 < -2(0)
Simplify
0 < 10
and
-6 < 0
b. No
Plug 4 in for x
-2(4) < 10
and
-6 < -2(4)
Simplify
-8 < 10
-6 < -8 (Nope)
c. -1
Plug -1 in for x
-2(-1) < 10
and
-6 < -2(-1)
Simplify
2 < 10
and
-6 < 2
Does 4x - 8 = 3x +13 have one solution, no solution or infinite solutions
Answer:
only one solution
Step-by-step explanation:
4x - 8 = 3x + 13
x = 21
Hey there!
Given:
\(4x-8=3x+13\)
Solution(s):
One Solution; \(x=21\)
Hope this helps!
. Assume that the annual percentage rate increases by 5%, 10%, 20%, 40%, and 60%. [30 marks] a. Calculate the approximate doubling time (Dappx) b. Calculate the exact doubling time (Dexact) c. Calculate the percentage error in calculating the doubling time for each case.
a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.
Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)
The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%
≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%
≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%
≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%
≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.
Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.
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Find the y intercept only.
4x – y = 4
Answer:
ok so first we have to convert this into y intercept
4x-y=4
-4x
-y=-4x+4
*-1
y=4x-4
so the y intercept is -4
Hope This Helps!!!
Answer:
The y-intercept is the point (0, -4).
Step-by-step explanation:
Recall that x = 0 at the y-intercept. Set x = 0 in 4x - y = 4, obtaining:
4(0) - y = 4, or y = -4.
The y-intercept is the point (0, -4).
I Forgot How To Do This For Some Reason
Answer:
A
Step-by-step explanation:
√11²+13² is the answer due to pythagoras theorem. You imagine the line between them is the hypotenuse for the right angled triangle so it’s A as 121 plus 169 is 290
b) The monthly income of A is double than that of B and the monthly income of B is treble than that of C. If the total income of three persons is Rs 80,000, find monthly income of each of person.
Answer:
A = Rs 48,000
B = Rs 24,000
C = R2 8,000
Step-by-step explanation:
To solve this problem, create and solve a system of linear equations using the given information.
From the given information:
If the monthly income of A is double than that of B, then A = 2B.If the monthly income of B is treble than that of C, then B = 3C.If the total income of three persons is Rs 80,000, then A + B + C = 80000.Therefore, the system of linear equations is:
\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)
Substitute the second equation into the first to create and equation for A in terms of C:
\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)
Substitute this and the second equation into the third equation and solve for C:
\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)
Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:
\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)
\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)
Therefore, the monthly income of each person is:
A = Rs 48,000B = Rs 24,000C = R2 8,000The ratio of the lengths of two corresponding sides of two similar polygons is called the:_________
Answer:
scale factor
Step-by-step explanation:
The ratio of the lengths of two corresponding sides of two similar polygons is called the:_________
The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor
a quality control technician works in a factory that produces computer monitors. each day, she randomly selects monitors and tests them to make sure that they do not have any dead pixels. over the course of a month, she tested 300 monitors and found 24 monitors with dead pixels. the technician conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of monitors with dead pixels is greater than 5%. (a) which answer choice shows the correct null and alternative hypotheses for this test?
The answer shows the correct null and alternative hypothesis for this test is
The null hypothesis p = 0.05
The alternate hypothesis p > 0.05
Total number of monitor that she tested in one month = 300 monitors
Total number of dead pixels monitor = 24
Given that she randomly selects monitors and tests them to make sure that they do not have any dead pixels
The significance level of one proportion hypothesis = 5%
From the given data
The sample size n = 300
The significance level p = 5%
= 0.05
The value of ∝ = 0.05
Number of dead pixels = 34
The null hypothesis p = 0.05
The alternate hypothesis p > 0.05
The hypothesis test is one-tailed test
Therefore, the result is
The null hypothesis p = 0.05
The alternate hypothesis p > 0.05
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HELP ME ASAP i could rly use it
Answer:
B-at the second line
Step-by-step explanation:
hope it can help you lovelots
#LEARN WITH BRAINLY
\(x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9\)
What is the circumference of the circle? Use 3.14 for .
r = 6.4 cm
© 20.096 cm
040.192 cm
0 200.96 cm
401.92 cm
Answer:
40.192 centimeters
Step-by-step explanation:
The circumference of a circle can be found using:
c= pi* diameter
First, we must find the diameter. The diameter of a circle is twice it’s radius.
d=2*radius
The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.
d=2*6.4
d=12.8
Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.
c=pi*diameter
c=pi*12.8
We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.
c=3.14*12.8
c=40.192
Use appropriate units: centimeters
c=40.192 centimeters
The circumference is 40.192 centimeters.
So the right answer is 40.192 cm
look at the attached picture
hope it will help you
Good luck on your assignment
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1584
Step-by-step explanation:
15(4)+12=72
15(4)=60
18(4)+10=82
18(4)=72
72x60=4320
82x18=5904
5904-4320=1584
1584
all of these are factors that influence whether an infant will show stranger wariness except .
All of the aforementioned are factors that influence whether an infant will show stranger wariness except: A. the infant's ability to regulate emotion.
What is stranger wariness?In Psychology, stranger wariness is sometimes referred to as stranger anxiety or stranger fear and it can be defined as any form of distress and apprehension that is typically experienced by infants (young children or babies) when they are around or within the proximity of individuals who are strange (unfamiliar) to them.
This ultimately implies that, stranger wariness simply refers to a form of distress and apprehension which an infant (young child or baby) experiences when exposed to strangers.
In this context, we can reasonably infer and logically deduce that the ability of an infant (young child or baby) to regulate emotion is not a factor that would influence whether an infant shows stranger wariness.
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Complete Question:
All of these are factors that influence whether an infant will show stranger wariness EXCEPT ______.
A. the infant's ability to regulate emotion
B. the overall temperament of the infant
C. the past experience of the infant
D. the situation in which the infant meets the stranger
Question 3. Convert the following real numbers to binary (8 binary places after the radix point). (0.25 Mark) - Show your work A. 0.11 B. 0.51 C. 0.625
The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.
Let's convert the given real numbers to binary with 8 binary places after the radix point.
A. 0.11:
To convert 0.11 to binary, we can use the following steps:
Multiply 0.11 by 2:
0.11 × 2 = 0.22
Take the integer part of the result, which is 0, and write it down.
Multiply the decimal part of the result by 2:
0.22 × 2 = 0.44
Again, take the integer part (0) and write it down.
Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).
0.44 × 2 = 0.88 (integer part: 0)
0.88 × 2 = 1.76 (integer part: 1)
0.76 × 2 = 1.52 (integer part: 1)
0.52 × 2 = 1.04 (integer part: 1)
0.04 × 2 = 0.08 (integer part: 0)
0.08 × 2 = 0.16 (integer part: 0)
0.16 × 2 = 0.32 (integer part: 0)
0.32 × 2 = 0.64 (integer part: 0)
Write down the integer parts obtained in step 4 and 5, in order:
0.11000110
Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.
B. 0.51:
To convert 0.51 to binary, we can use the same steps:
Multiply 0.51 by 2:
0.51 × 2 = 1.02
Take the integer part of the result, which is 1, and write it down.
Multiply the decimal part of the result by 2:
0.02 × 2 = 0.04
Again, take the integer part (0) and write it down.
Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).
0.04 × 2 = 0.08 (integer part: 0)
0.08 × 2 = 0.16 (integer part: 0)
0.16 × 2 = 0.32 (integer part: 0)
0.32 × 2 = 0.64 (integer part: 0)
0.64 × 2 = 1.28 (integer part: 1)
0.28 × 2 = 0.56 (integer part: 0)
0.56 × 2 = 1.12 (integer part: 1)
0.12 × 2 = 0.24 (integer part: 0)
Write down the integer parts obtained in step 4 and 5, in order:
0.10000010
Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.
C. 0.625:
To convert 0.625 to binary, we can use the same steps:
Multiply 0.625 by 2:
0.625 × 2 = 1.25
Take the integer part of the result, which is 1, and write it down.
Multiply the decimal part of the result by 2:
0.25 × 2 = 0.50
Again, take the integer part (0) and write it down.
Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).
0.50 × 2 = 1.00 (integer part: 1)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
0.00 × 2 = 0.00 (integer part: 0)
Write down the integer parts obtained in step 4 and 5, in order:
0.10100000
Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.
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BRAINLIEST ANSWER GIVEN Solve inequality and write interval notation.\(5x+4\leq x-8\)
Answer:
\(x\leq -3\)
Step-by-step explanation:
I can't write interval notation on Brainly but I can solve the inequality.
\(5x+4\leq x-8\)
Subtract \(x\) from both sides
\(4x+4\leq -8\)
Subtract 4 from both sides
\(4x\leq -12\)
Divide both sides by 4
\(x\leq -3\)
I got 12 but I think I'm wrong, please help me!
Answer;
19ft
Explanation:
First, we need to get the length of the broken leg using the Pythagoras theorem as shown;
\(\begin{gathered} l^2=7^2+10^2 \\ l^2=49+100 \\ l^2=149 \\ l\text{ =}\sqrt[\square]{149} \\ l\text{ = 1}2.21 \end{gathered}\)Original height of the pole = 7ft + 12.21ft
Original height of the pole = 19.21ft
Original height of the pole = 19ft (to the nearest height)
Find the missing side in the right triangle, Round to the nearest tenth.
please help
Answer:
17.0
Step-by-step explanation:
right angle with angles 45, 45 and 90
SOHCAHTOA
cos 45 = A/H
Cos 45 = 12/r
r= 12/cos 45
r= 16.97
please help me it takes do long to do this please
Answer:
Step-by-step explanation:
a. (I) x = 65
(ii) vertically opposite angles are equal.
b. (i) 71 degrees
(ii) alternate interior angles are equal
c. (i) z = 180 - 71 = 109 degrees
(ii) angles on a line add up to 180 degrees
Hope this helpsAnswer:
x = 65°, y = 71°, z = 44°
Step-by-step explanation:
x and 65 are vertical angles and congruent, thus
x = 65°
y and 71 are alternate angles and congruent, thus
y = 71°
The sum of the 3 angles in a triangle = 180°, thus
z = 180° - (65 + 71)° = 180° - 136° = 44°
Hence
x = 65°, y = 71° and z = 44°
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .
A company pays $5,000 for equipment. Annual depreciation on the equipment is $500. What is the book value of the equipment at the end of Year 2?
a. $4,000
b. $5,000
c. $6,000
d. $3,000
A company pays $5,000 for equipment. The book value of the equipment at the end of Year 2 will be $4,000.
The book value of an asset can be calculated by subtracting the accumulated depreciation from the initial cost of the asset.
Given:
Initial cost of the equipment = $5,000
Annual depreciation = $500
After Year 1, the accumulated depreciation would be $500.
So, the book value at the end of Year 1 would be:
Book value at the end of Year 1 = Initial cost - Accumulated depreciation
Book value at the end of Year 1 = $5,000 - $500 = $4,500
After Year 2, the accumulated depreciation would be $500 + $500 = $1,000 (since depreciation is $500 per year).
So, the book value at the end of Year 2 would be:
Book value at the end of Year 2 = Initial cost - Accumulated depreciation
Book value at the end of Year 2 = $5,000 - $1,000 = $4,000
Therefore, the book value of the equipment at the end of Year 2 is $4,000. Hence, the correct answer is option a. $4,000.
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Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4/8 = 1/2
Step-by-step explanation:
hope it thepled u
% of 10 = 10
I need help with this
Answer:
100 percent
Step-by-step explanation:
if x of y is y....
x is always 100!
You want to buy some beans. A 7-ounce package costs $2.45.A 15-0unce package costs S4.95. A
26-ounce package costs $8.84. Which package is the best buy
TheM-Ounce package of beans IS the best
Answer:
15-ounce package is the best buy.
Step-by-step explanation:
In order to find the best-buy we have to calculate the price per ounce.
So,
For 7-ounce package:
Price =2.45$
Unit price for 7-ounce:
\(\frac{2.45}{7} = 0.35\$\)
For 15-ounce Package:
Price: $4.95
Unit price for 15-ounce:
\(\frac{4.95}{15} = 0.33\$\)
For 26-ounce Package:
Price: $8.84
Unit price for 26-ounce:
\(\frac{8.84}{26} = 0.34\$\)
As we can see that the least unit price is for 15 ounce pack i.e. 0.33 per ounce so,
15-ounce package is the best buy.
the height of a stack DVD cases is proportional relationship
Answer:
yes
Step-by-step explanation:
consider the infinite geometric series: what is a1? what is r? find the following partial sums: s2
An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.
The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.
So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.
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