The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)
What is the Solution of Simultaneous Equations?The solution is the pair of values of x and y that is true for both equations.
Given the simultaneous equations,
5x + y = -5
5x – 3y = 11
Subtract
4y = -16
y = -4
Substitute y = -4 into equation 1.
5x + (-4) = -5
5x - 4 = -5
5x = -5 + 4
5x = -1
x = -1/5
Learn more about simultaneous equations on:
https://brainly.com/question/148035
#SPJ2
On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
Learn more about radioactivity: https://brainly.com/question/15289741?
Please help will give brainliest
Answer:
<1=104
<2=76
<3=76
<4=104
<5=104
<6=76
<7=76
<8=104
Step-by-step explanation:
So, the angles are all vertical to the one across it.
That makes <2 to be 76.
76(2)+2(<1)=360,
2(<1)=208
<1=104
You also know that the two lines are parallel, making the ones above/below it equal.
That makes <7 AND <6 to be 76 as well.
can someone help me with this pls?
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y-intercept is -2.
Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.
Plugging into slope-intercept form:
y=mx+b => y=2x-2
A 10-page play is $0.70 per page to e
dit. How much will I have to pay you to net this amount on Up Work? Please include the UpWork fee in your calculation. (Also, please use digits only, plus decimal and S-sign where necessary. No need for words.)
Answer:
The answer of this question is 7
Step-by-step explanation:
because 1 page=$0.70 and now calculate
10×1×0.70=7
To edit 10-page play you have to pay $7.
What is unitary method?"It is the method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A play is of 10 pages.
It charges $0.70 per page to edit.
So, to edit 10-page play the cost would be,
10 × $0.70 = $7.0
Therefore, to edit 10-page play you have to pay $7.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
If the perimeter of the triangle shown below is 48x + 9, what is the length of the missing side? 4x+2 3x – 9 NEED ANSWER ASAP
Answer:
41x+16
Step-by-step explanation:
4x+2+3x-9+c=48x+9. You can move all the things you know to the other side.
c= 48x-4x-3x-2+18
c=41x+16
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answer: side
Step-by-step explanation:
Select the correct answer.
What term is used to describe a metropolitan area that spreads out to include several cities?
O A. suburb
O B. megalopolis
OC. freeway
OD. urban core
Answer:
B. megalopolis
Step-by-step explanation:
Hope it helps you in your learning process.
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Factor into linear factors: [tex]x^{2} +16[/tex]
[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]
Answer:
(x + 4)(x + 4)Step-by-step explanation:
Given expression:
x² + 16Clearly, 16 is a perfect square as 4 x 4 is 16.
Thus, this expression can be written as:
⇒ x² + 16⇒ x² + 4²Using the formula "a² + b² = (a + b)(a + b)"
⇒ x² + 4² ⇒ (x + 4)(x + 4)3. The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
18.99%
22.63%
1.31%
29.73%
The maximum error of estimate with a sample of 300 cell phones is 29.73%
Determining maximum error estimateThe formula for calculating the maximum error of the estimate is expressed as:
ME = √0.25/n
n is the total sample
Given the following parameters
n = 300
Substitute into the formula to have:
ME = √0.25/n
ME = √0.25/300
ME = 0.2973
ME = 29.73%
Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%
Learn more on maximum error here: https://brainly.com/question/13370015
The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
Answer:
29.73%
Resulting set please help !!!!
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
The given set is U(a,e,i,o,u), in which,
[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]
[tex]X\cup Y[/tex]For the union, write all the terms of X and Y set.
[tex]X\cup Y=(a,e,i,o,u)[/tex]
[tex]X\cap Z[/tex]For the intersection, write all the common terms of X and Z set.
[tex]X\cap Z=(i,o)[/tex]
[tex]X\cap Y\cap Z[/tex]For the intersection, write all the common terms of X , Y and Z set.
[tex]X\cap Y\cap Z=(o)[/tex]
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
Learn more about the ordered pair here;
https://brainly.com/question/5754926
#SPJ1
Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
Two cards are chosen at random without replacement from a pack of 52 playing cards. If the first card chosen is an Ace, what is the probability the second card chosen is a King?
Answer:
4/52 or 1/13
Step-by-step explanation:
Answer:
the probabilyy of that will probably be the probability of that question porbably speaking about probability
Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=
Answer:
p = 5/3m
Step-by-step explanation:
The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:
3p = 5m
divide both sides by 4
p = 5/3m
This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.
Hope this helps!
Brainiest always helps me out :)
Khan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
Express the repeating decimal 0.3 as a fraction
The answer is 1/3.
If you're still not sure (and math teachers will appreciate you doing this), you can check. Divide 1 by 3 and you will get 0.333333333333...
I hope this answers your question.
NEED HELP ASAP!!!
On a coordinate plane, sketch the graphs. y=|x| , y=|x+3| , and y=|x-2|
Answer:
Step 1. Plot x-intercept
Step 2. Plot y-intercept
Step 3. Connect dots
y = |x|
x-intercept = (0,0)
y-intecept = (0,0)
y = |x + 3|
x-intercept = (-3,0)
y-intecept = (0,3)
y = |x - 2|
x-intercept = (2,0)
y-intecept = (0,2)
BRAINLIEST please if this helped!A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
Help picture below problem 11
Answer:
Missing Angle = 26⁰ ( corresponding angles )
If (x, 42) is a solution to the equation y = -6 (x – 15) – 3, find x
Put y and find x
y=-6(x-15)-342=-6(x-15)42+3=-6(x-15)45=-6x+90-6x=-45x=45/6x=15/2Alissa surveys a random sample of 50 students at her school about the country
they would most like to visit. The table shows her results. Based on the sample,
can Alissa conclude that there are probably fewer students at her school who
want to visit Japan than Australia? Explain your reasoning.
There are two problems please help
Answer:
1. Alissa can conclude that there are fewer students at her school that want to visit Japan (7) than Australia (13)
I'm not sure about the 2nd question so you can use it if you want or just wait if someone else gives a different answer
2.
25 × 0.52 = 13 pets that don't have a home
25 - 13 = 12 pets that have a home
Pets that don't have a home is more than the pets that have a home
The statement is not misleading
Help help math math math
Answer:
the answer to your question is -27
-27
Solution:All we have to do here is subtract:-19-8Think of it as 19+8:27Now, put the minus sign next to 27:-27Hope it helps.
Do comment if you have any query.
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.
Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
What is the Bisection Method?The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.
Given the equation:
x² - 4x - 10 = 0.
Applying the bisection method, we would have the following:
x² - 4x + (2²) - (2²) - 10 = 0
(x - 2)² - 14 = 0
Add 14 to both sides
(x - 2)² = 14
Take the square root of both sides
x - 2 = ±√14
x = 2 ± √14
x = 2 - √14 = -1.74
or x = 2 + √14 = 5.74
Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
Learn more about bisection method on:
https://brainly.com/question/13314803
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answer: 24.34 is his balance.
Step-by-step explanation:
Find the range of the relation.
O {-4, -3, -2, -1, 0, 1, 2, 4)}
O {-4, -2,0, 2, 4)}
O {-4,4)}
O {-3, -2, -1, 0, 1)}
Answer:
largest number -smallest number
Factor the expression. x2 – 10xy + 24y2
A) (x – 6y)(x – 4y)
B)(x + 6y)(x + 4y)
C)(x + 2y)(x – 12y)
D) (x – 2y)(x + 12y)
