Answer:
y = [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
x^2 + z^2 = 29^2
x^2 = y^2 + 9^2
y^2 + 20^2 = z^2
29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)
substitute 3rd eqn in 4th
29^2 - (y^2 + 20^2) = y^2 + 81
841 - y^2 - 400 = y^2 + 81
441 = 2y^2 + 81
360 = 2y^2
y^2 = 180
y = [tex]\sqrt{180}[/tex]
= [tex]\sqrt{36*5} \\[/tex]
y = [tex]6\sqrt{5}[/tex]
A man walks 50km a day he gets R1 for every 1000 steps. How much money will he have at the end of his 50km walk if 1,6Km is = to 2000 steps.
we have 1,6Km is = to 2000 steps => 1 km = 1250 steps
=> 50km = 1250 x 50 = 62500 steps
so he'll have: 62500/1000 = 62,5 R1
ok done. Thank to me :>
8/27 simplified as an exponent
Answer:
what is an exponent bro ;-;
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.
Answer:
There would be $5,372.99 in Camilla's account after 4 years.
Step-by-step explanation:
Total Principal $5,000.00
Total Interest $372.99
* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%
Camilla will have approximately $5,454.41 in her account after 4 years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.
Now, After 4 years, the investment will grow to:
= $5,000 (1 + (1.8%/12))¹²ˣ⁴
= $5,000 (1 + (1.8%/12))⁴⁸
= $5,454.41
Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.
So, Camilla will have approximately $5,454.41 in her account after 4 years.
Learn more about the mathematical expression visit:
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Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?
Answer:
1.400$
Step-by-step explanation:
If 11% of a number equals 4, find 66% of that number.
Answer:
363/20,000
.................................................................................
Answer:
24
Step-by-step explanation:
Let the number be " x ".
11 % of x = 4
( 11 / 100 ) * x = 4
x = 4 * ( 100 / 11 )
x = 400 / 11
66 % of that number
= 66 % of x.
= 66 % of 400 / 11
= ( 66 / 100 ) x ( 400 / 11 )
= ( 66 x 400 ) / ( 100 x 11 )
= 6 x 4
= 24
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.
trevin puts 8 gallon of gas
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday?
Answer:
Step-by-step explanation:
Solve 2 cot x = csc^2 x symbolically on the interval (0,2pi).
Answer:
x=pi/4, 5pi/4
Step-by-step explanation:
cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2
They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate
Answer:
That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.
M<1=m<5 true or false
Answer:
True
Step-by-step explanation:
Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5
(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
Solve
27-(-8)
A. 35
B. 19
C. -19
D. -35
The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =27-(-8)[/tex]
[tex]\large \sf =27+8[/tex]
[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]
So, the numeric value of this numeric expression will be 35.
can someone pls help me with dis ill give brainliest
Answer:
274900
Step-by-step explanation:
Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.
Answer:
Yes it is written in scientific notation.
Step-by-step explanation:
Scientific notation is --> a x 10^b. where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]
In 2013, the Public Religion Research Institute conducted a survey of 1,033 adults, 18 years of age or older, in the continental United States. One of the questions on their survey was as follows:
On any given Sunday, are you more likely to only be in church, more likely to only be watching football, doing both, or doing neither?
(a) To only be in church [269 respondents selected this answer]
(b) To only be watching football [175 respondents selected this answer]
(c) Doing both [217 respondents selected this answer]
(d) Doing neither [372 respondents selected this answer]
Create a 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday.
Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
269 out of 1033 respondents said they were likely to only be in church, hence:
[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]
As a percentage:
0.2336 x 100% = 23.36%
0.2872 x 100% = 28.72%
The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
A similar problem is given at https://brainly.com/question/25743435
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.
If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.
There are several types of correlation:
Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one anotherIn this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.
In conclusion, what was observed is negative correlation.
Find out more at https://brainly.com/question/10099551.
Latonya swims 50 meters in 1/2 minute, what is the slope ?
Answer:
This slope means for every 1 minute Latonya swims 100 meters.
Step-by-step explanation:
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Answer:
0.08
Step-by-step explanation:
the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08
A construction company can remove 3/8 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site
Answer:
64 hours
Step-by-step explanation:
(3\8) times 64 (hours) equals 24 (tons of dirt)
Function or non functional? Pls help ty :3
Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?
Answer:
The answer to " How much is a pen or pencil at the school store?" is $0.5
Step-by-step explanation:
3+5=8
-1.00 for erasers
total cost now =4
4/8= $0.5
total cost of everthing =5
4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 iPads. How many iPads were donated to Fun Elementary?
Answer:
469 iPads were donated.
Step-by-step explanation:
The school purchased 396 iPads in total: 300+96
Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per
year. The turbines were upgraded, and now their average annual output is 30% more. What
is the new average yearly output?
kilowatt hours
Submit
Answer:
507 KW/hStep-by-step explanation:
Initial output:
390 KW/hUpgraded output:
30% moreFind the upgraded output in number:
390 + 30% of 390 =390 + 390*30/100 =390*1.3 =507Average output=390KW
Updated percentage=30%
Updated output:-
[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]
[tex]\\ \sf\longmapsto 0.3(390)[/tex]
[tex]\\ \sf\longmapsto 117[/tex]
New output=390+117=507KW
ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2
Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!
Answer:
{-2}
Step-by-step explanation:
Answer:
B)-2
Step-by-step explanation:
In functions, X is your input. Y is the output unless specifically stated otherwise :P
Brainliest? <3
Why are integers rational numbers
Answer:
Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).
Step-by-step explanation:
Solve 9x - 5 = 9x - 5. How many solutions does the equation have?
Show your work.
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
Subtract 9x -5 from both sides.
(9x -5) -(9x -5) = (9x -5) -(9x -5)
0 = 0
This is true for all values of x. There are an infinite number of solutions.
_____
Additional comment
When you subtract one side of the equation from the other, there are three possible results:
ax +b = 0 . . . . (a≠0) one solution (x = -b/a)1 = 0 . . . . . . . . no solutions--not true for any value of the variable0 = 0 . . . . . . . infinite solutions--true for every value of the variable