Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
I need Help I don't understand
what is 2/10 as a decimal number
Answer:
0.2 is the answer .
Hope it helps..
Solve the inequality 2x – 15<_5
Answer:
you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.
Step-by-step explanation:
[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]
[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]
Find the perimeter of the triangle whose vertices are the following, specified points in the plane.
(-10,-3), (1,4) and (-1,7)
Given:
The vertices of the triangle are (-10,-3), (1,4) and (-1,7).
To find:
The perimeter of the triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).
Using distance formula, we get
[tex]AB=\sqrt{(1-(-10))^2+(4-(-3))^2}[/tex]
[tex]AB=\sqrt{(1+10)^2+(4+3)^2}[/tex]
[tex]AB=\sqrt{(11)^2+(7)^2}[/tex]
[tex]AB=\sqrt{121+49}[/tex]
[tex]AB=\sqrt{170}[/tex]
Similarly,
[tex]BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}[/tex]
[tex]AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}[/tex]
Now, the perimeter of the triangle is
[tex]Perimeter=AB+BC+AC[/tex]
[tex]Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}[/tex]
[tex]Perimeter\approx 13.038+3.606+13.454[/tex]
[tex]Perimeter=30.098[/tex]
Therefore, the perimeter of the triangle is 30.098 units.
Solve: 13x+4.............X=2
(2 X + 5) and (4 X - 3)
Answer: 8x+2
explanation:
i just solved it
Answer:
8x - 15
Step-by-step explanation:
(2x + 5)(4x -3)
distribute ur numbers
2x * 4x = 8x
5 * -3 = -15
now ur left with 8x - 15 and that is ur answer
PLEASE I NEED IT ASAP find the value of t if t - 7 = 12
Find the slope of the line going through the points (-2,-3) and (-1,9)
x^2+4x+10 polynomial
Answer:
It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms
Answer:
it is a not polynomial.
Step-by-step explanation:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables,
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]
This spyware is detected 66% of the time.
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
In a triangle, the largest angle is always opposite the (Blank) and the smallest angle is always opposite the (Blank) .
Please fill out where i put blank please its due in 29 minutes
Answer:
the largest angle is opposite the largest side and the shortest angle is opposite the shortest side
Step-by-step explanation:
From the property of triangles, we know In a triangle, the largest angle is always opposite the largest side and the smallest angle is always opposite the smallest side.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Triangles' characteristic allows us to know The biggest angle in a triangle is always on the other side of the biggest side, and the smallest angle is always on the other side of the smallest side.
Here are some more properties for triangles,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Nathan's family took a road trip to Mount Rushmore. Nathan fell asleep 9% of the
way through the trip. If Nathan fell asleep after they had travelled 54 miles, what was
the total length of the trip?
Answer:
600
Step-by-step explanation:
A square pyramid has a base that measures 8 inches on each side. The
height of the pyramid is 11.5 inches. What is the volume of the pyramid?
Answer as numbers only, round to the tenths place
Answer:
245 1/3
Step-by-step explanation:
I need help plss dont lieplss and thank you
Answer:
B or C
hope this helps :)
PLS HELP PLS PLS!!!!!!
Answer:
m > 1
Step-by-step explanation:
Minus 6 from both side
m = 1
What is 162,810.75 rounded to the nearest whole number?
Answer:
162,811
Step-by-step explanation:
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses in a country was about five. (a) Find the variance and the standard deviation. Interpret the results. (b) Find the probability that at most three businesses will file bankruptcy in any given hour.
Answer:
Variance = 5
Standard deviation = 2.236
0.2650257
Step-by-step explanation:
For a Poisson distribution is σ² = μ.
Given that:
Mean , μ of bankruptcies files per hour = 5
μ = 5
For a Poisson distribution :
P(x = x) = (μ^x * e^-μ) / x!
The Variance and standard deviation :
Variance : σ² = μ = 5
Standard deviation = sqrt(variance) = sqrt(5) = 2.236
B.) Find the probability that at most three businesses will file bankruptcy in any given hour.
P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379
P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897
P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243
P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738
0.0067379 + 0.0336897 + 0.0842243 + 0.1403738
= 0.2650257
Using the Poisson distribution, it is found that:
a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.In this problem, the mean is of [tex]\mu = 5[/tex].
Item a:
The variance is the same as the mean, of 5.The standard deviation is the square root of the variance, hence [tex]\sqrt{5} = 2.24[/tex]
The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
Item b:
This probability is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]
[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]
[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]
[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]
0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
A similar problem is given at https://brainly.com/question/16912674
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
13-6=3x-14 whats the value of x
Answer:
x=9
Step-by-step explanation:
13+14=3x
27=3x
27/3=x
9=x
What object would be capacity that is best measured in pints
Answer:
The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.
Answer:
Step-by-step explanation:
Pints measure the volume of a fluid. A pint = 16 fluid ounces, while a quart is 2 pints or 32 fluid ounces. Objects holding 16 to 32 fluid ounces are measured in pints.
Solve: 3 over x - 4 ≥ 0
x ≤ 4
x ≥ -4
x > 4
x < –4
Please help asap
I just guessed the answer is x ≥ 4 so c
Answer:
The last on I think I'm a check and come back
how do you simplify this:
17mn - 5mnx + 15mx
Answer:
m(17n - 5nx + 15x)
Step-by-step explanation:
17mn - 5mnx + 15mx
= m(17n - 5nx + 15x)
side length z =
angle d =
Answer:
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Step-by-step explanation:
Step(i):-
Given that ∠HIG is a right angle triangle
Given∠I = 53°
By using the sine function
[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]
z = 25 × sin53° = 25×0.798635
z = 19.965 ≅20 m
Step(ii):-
[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]
⇒ [tex]d = sin^{-1} (\frac{4}{5} )[/tex]
⇒ d = 53.13°
Final answer:-
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook
Step-by-step explanation:
[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]
[tex] \frac{ \sqrt{6} }{3} [/tex]
[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]
[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{6} }{6} [/tex]
[tex] iii)\frac{15}{ \sqrt{5} } [/tex]
[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]
[tex] \frac{15 \sqrt{5} }{5} [/tex]
[tex]3 \sqrt{5} [/tex]
[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{30} }{ 30} [/tex]
A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?
Answer:
25 acres which is one of your choices
Step-by-step explanation:
Which words show the best meaning of the underlined word in this paragraph?
Sara was ecstatic when she won the writing contest. She threw her popcorn into the air and danced around the kitchen with her sister after her teacher phoned with the news. She was still smiling hours later.
shocked and surprised
very pleased but worried
very happy or excited
anxious and upset
Answer: very happy or excited
Step-by-step explanation: She is happy that she won and is till excited hours later
Answer:
Very happy or excited
Step-by-step explanation:
Gail baked muffins. She sold 2/7 of the muffins on Monday. She sold 1/3 more of the muffins on Tuesday than on Monday. What fraction of the muffins did Gail sell on the Two days?
Answer:
13/21
Step-by-step explanation:
find common denominator 21
Monday 2/7 = 6/21
Tuesday 1/3 = 7/21
multiply the top by what you did the bottom for the common denominator to get the equivalent fraction
add the two fraction together by keeping the denominator the same
6+7=13
so 13/21
A triangle has an area of 29.7cm^2 and a base of 13.5cm. Use the formula A=1/2 bh to find the height.
Answer:
4.3362962963
Step-by-step explanation:
A=1/2bh
29.7cm^2=1/2 13.5h
You're gonna multiply each side by 2 to cancel out the fraction equaling,
58.54= 13.5h
You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.
given tu ij find the length of hj
that doesnt make sense