The required measure of 41°C in Fahrenheit is given as 105.8°F.
What is temperature?Temperature is defined as the degree of measure of heat in an object.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Conversion from Celsius to Fahrenheit is given as,
F = (41°C × 9/5) + 32
F = 105.8°F
Thus, the required measure of 41°C in Fahrenheit is given as 105.8°F.
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For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
C = 3√3, a = 4√2 are trigonometric ratios of the right triangles .
What do trigonometric ratios represent?
Trigonometric ratios are ratios of the sides of a triangle. These ratios illustrate how the ratio of a right triangle's sides to each angle works in trigonometry. The three basic trigonometric ratios are sine, cosine, and tangent.The values of the provided variable will be determined using trigonometric ratios.
We must choose a ratio that includes base and perpendicular for c. So, we'll utilize tan x.
tan 60 = P/B
tan 60 = C/3
√3 = C/3
3 × √3 = C
C = 3√3
similarly for a
Sin 45 = b/h
√2/2 = a/8
√2 * 8 / 2 = a
a = 4√2
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Find the circumference and the area of a circle that has a
diameter of 14 centimeters. For each, give the exact answer
and an approximation to the nearest hundredth.
[Section 9.8]
Answer:
circumference=44cm
44cn
Area=154cm
200cm
What is the slope of the line that contains the points negative 2, negative seven halves and (4, −4)?
negative one twelfth
negative one fourth
one fourth
one twelfth
Answer: Negative one twelfth
Step-by-step explanation:
Answer: 1/12
Step-by-step explanation:
the answer is actually 1/12 not -1/12
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
4
−
(
−
7
2
)
4
−
(
−
2
)
Simplify.
Simplify the numerator.
m
=
−
1
2
4
−
(
−
2
)
Simplify the denominator.
m
=
−
1
2
6
Multiply the numerator by the reciprocal of the denominator.
m
=
−
1
2
⋅
1
6
Multiply
−
1
2
⋅
1
6
.
m
=
−
1
12
PLS PLS PLS PLS PLS PLS PLS PLS HELP ME write the ratios 25:4 and 45:10 as a complex fraction
Writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
How to calculate the value?From the information, it should be noted that we want to write the ratios 25:4 and 45:10 as a complex fraction.
It should be noted that we simply have to convert the numbers to fractions. This will be:
25:4 = 25/4 = 6 1/4
45:10 = 45 / 10 = 4 5/10 = 4 1/2.
Therefore, writing the ratios 25:4 and 45:10 as a complex fraction will be 6 1/4 and 4 1/2.
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4. Communicate Precisely What does it mean for a figure to have 60° rotational symmetry?
It means that if you rotated the figure 60 degrees (clockwise or counterclockwise) about its center, then the figure does not change.
The "before" and "after" are identical. In other words, the preimage and image are the same.
The circumference of a circle is 30. What is its area?
Answer:
71.62
Step-by-step explanation:
[tex]A = \frac{C^2}{4 \times \pi }\\A = \frac{30^2}{4 \times 3.14 }\\A = 71.62[/tex]
(3x + 2)°
(5x-78)°
HOW DO I SOLVE THIS I DONT GET IT HELP MEEEE!!
x = 40 is the value of vertical angles .
What is vertical opposite angles?
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.
The total of the two vertical angle pairs, or four angles, is always 360 degrees. Angles that come from each pair of vertical angles are supplementary and are referred to as neighboring angles (the angles sum up to 180 degrees).
(3x + 2)° and (5x-78)° are equal .
because of they are vertical opposite angles.
3x + 2 = 5x - 78
5x - 3x = 78 + 2
2x = 80
x = 40
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8. The line that passes through (3, 5) and is parallel to the line through (3, 3) and (-3, -1)
2x - 3y = -9 is equation of line which passes through slope 2/3.
Describe slope using an example?
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.m = [tex]\frac{y{2} - y{1} }{x{2} - x{1} }[/tex]
put x₁ = 3 , x₂ = -3 , y₁ = 3 and y₂ = -1
m = [tex]\frac{-1 - 3}{-3 - 3}[/tex]
m = [tex]\frac{-4}{-6}[/tex]
m = 2/3
The line that passes through (3, 5) =
⇒ y - y₁ = m( x - x₁)
⇒ y - 5 = 2/3 ( x - 3)
⇒ 3( y - 5 ) = 2 ( x - 3 )
⇒ 3y - 15 = 2x - 6
⇒ 2x - 3y = -15 + 6
⇒ 2x - 3y = -9
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Consider the sequence of real numbers
[tex] \rm a_1 = \frac{ log_{2}( {3}^{2} ) }{ log_{3}(2) } ,a_2 = \frac{ log_{ {3}^{3} }( {4}^{4} ) }{ log_{ {4}^3}( {3}^{4} ) } ,a_3 = \frac{ log_{ {4}^5 }( {5}^{6} ) }{ log_{ {5}^{5} }( {4}^{9} ) }, \dots[/tex]
In general, [tex] \rm a_k = \frac{ log_{(k + 1) ^{(2k - 1)} } ((k + 2 {)}^{2k}) }{log_{(k + 2) ^{(2k - 1)} } ((k + 1 {)}^{ {k}^{2} })} [/tex]
Let [tex] \rm P_n = \frac{ log_{ {(n + 1)}^{(2n - 1)} }( {2}^{2n} ) }{ log_{ {2}^{(2n - 1)} }((n + 1) {}^{ {n}^{2} } )} \cdot \prod \limits_{k = 1}^{n - 1} a_k[/tex] for integer n [tex]\geq [/tex] 2.
[tex] \rm Find \sum \limits_{n = 2}^{ \infty } P_n[/tex]
Use the change-of-base identity and the exponent property for logarithms.
[tex]\log_b(a) = \dfrac{\log_c(a)}{\log_c(b)} \implies \log_b(a) = \dfrac1{\log_a(b)}[/tex]
[tex]\log_c(a^b) = b \log_c(a)[/tex]
This lets us rewrite
[tex]\log_{(k+1)^{2k-1}} (k+2)^{2k} = \dfrac{2k}{\log_{k+2}(k+1)^{2k-1}} = \dfrac{2k}{(2k-1) \log_{k+2}(k+1)}[/tex]
[tex]\log_{(k+2)^{2k-1}} (k+1)^{k^2} = \dfrac{k^2}{\log_{k+1} (k+2)^{2k-1}} = \dfrac{k^2}{(2k-1) \log_{k+1}(k+2)}[/tex]
It follows that
[tex]a_k = \dfrac2k \dfrac{\log_{k+2}(k+1)}{\log_{k+1}(k+2)} = \dfrac2k \left(\ln^2(k+1)}{\ln^2(k+2)}[/tex]
so that the product of [tex]a_k[/tex] telescopes:
[tex]\displaystyle \prod_{k=1}^{n-1} a_k = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(2)}{\ln^2(3)}\cdot\frac{\ln^2(3)}{\ln^2(4)}\cdot\frac{\ln^2(4)}{\ln^2(5)} \cdots \frac{\ln^2(n-1)}{\ln^2(n)} \cdot \frac{\ln^2(n)}{\ln^2(n+1)} \\\\ ~~~~~~~~ = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(n+1)}{\ln^2(2)}[/tex]
We can similar reduce the coefficient of [tex]P_n[/tex] to write
[tex]\log_{(n+1)^{2n-1}}(2^{2n}) = \dfrac{2n}{(2n-1) \log_2(n+1)}[/tex]
[tex]\log_{2^{2n-1}}(n+1)^{n^2} = \dfrac{n^2}{(2n-1)\log_{n+1}(2)}[/tex]
[tex]\implies \dfrac{\log_{(n+1)^{2n-1}}(2^{2n})}{\log_{2^{2n-1}}(n+1)^{n^2}} = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)}[/tex]
Then the expression for [tex]P_n[/tex] reduces significantly to
[tex]P_n = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)} \cdot \dfrac{2^{n-1}}{(n-1)!} \dfrac{\ln^2(n+1)}{\ln^2(2)} = \dfrac{2^n}{n!}[/tex]
and we ultimately find
[tex]\displaystyle \sum_{n=2}^\infty P_n = \sum_{n=0}^\infty \frac{2^n}{n!} - \frac{2^1}{1!} - \frac{2^0}{0!} = \boxed{e^2 - 3}[/tex]
where we recall the power series
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}[/tex]
 may I please get help
Answer: B. 60.96
Step-by-step explanation:
27% of 48 is 12.96
12.96+48=60.96
Here is list of numbers:
8
7 12 7 11 10 7 12
Find:
a)
the median
b)
the range
c)
the mode
Step-by-step explanation:
medium =9
range = 12-7=5
mode=7
A concert promoter needs to make $60,900 from the sale of 1780 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets.
The equation that states the sum of the tickets sold is -
30x + 45y = 60900.
We have concert promoter.
We have to write an equation that states that the total amount received from the sale, which is 60,900 dollars.
What is Equation Modelling ?The equation modelling is a process of writing a mathematical equation from a mathematical statement involving variables, constants etc.
According to the question -
Money earned from $30 tickets = $30x
Money earned from $45 tickets = $45y
Total money from 1780 tickets = $60,900
Therefore -
30x + 45y = 60900
Hence, the equation that states the sum of the tickets sold is -
30x + 45y = 60900.
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[ The given question is incomplete, the complete question is
A concert promoter needs to make $60,900 from the sale of 1780 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets. Write an equation that states that the total amount received from the sale is 60900 dollars.]
pleas helppp i need this i will give brainly crown
Answer:
1. Signed
2. True, -(30/6)=-5, 30/-6=-5, hence they are equal
3. True
Step-by-step explanation:
Answer:
Question 5 is true
Question 4 is false
Step-by-step explanation:
I am not sure about the first question because numbers that are either positive or negative are called integers, however, this is not one of the options.
Help! Please will give brainliest if you will
ASAP
Answer: i hope this answers your question
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
Answer:here
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
Mary is 7 years old, Chris is 2 years old, Stewart is 5 years old,
and Abby is 10 years old. What is the average age of the 4
children?
years old
Answer: 6
Step-by-step explanation:
7+2+5+10= 24
24 divided by 4 equals 6
You are saving for a skateboard. Your aunt gives you $45 to start, and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much will you have after six weeks?
Answer: $63
Step-by-step explanation:
so you put 6 where the w is to find out the answer
45+3(6)=45+18=63
Pls help me understand this.
Answer:
4 Square units
Step-by-step explanation:
The height is incorect
It is meant to be the vertical height which is the distance from A to AB (3 - 1 = 2)
[tex] \frac{1}{2} bh = \frac{1}{2} \times 4 \times 2 \\ = 4 \: square \: units[/tex]
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions
The digit must be even
The letters A, E, I, O, U cannot be used
Letters cannot be used more than once
The number of possible identification codes is 2100
How to determine the number of identification codes?The given parameters are:
1 digit followed by 2 letters. Even digitsLetters A, E, I, O, U cannot be usedLetters cannot be used more than onceThere are 5 even digits
So, we have
Digits = 5
There are 21 other letters aside A, E, I, O, U
So, we have:
First letter = Any of the 21 letters
Second letter = Any of the remaining 20 letters
So, we have
Combination = 5 * 21 * 20
Evaluate the product
Combination = 2100
Hence, the number of identification codes is 2100
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You have a drawer with 7 different pencils. Each pencil is a different color (red, blue, white, green, pink, black, and yellow). If you take a pencil out of the drawer, it is green, and do not put it back, what is the probability that the next pencil is pink?
Answer:
1 in 6
Step-by-step explanation:
The probability of getting the original green is 1 in 7 (1 green pencil and 7 total)
If you take it out, there will be 6 pencils left
My thermometer has a percent error of 3%. The actual temperature is 75°F.
Will the thermometer show the temperature at 72.00 °F or 78.00 °F?
The thermometer show the temperature at 73°F when there is a percentage error.
How to calculate the value?From the information, the thermometer has a percent error of 3% and the actual temperature is 75°F.
Therefore, the temperature down on the thermometer will be:
= 75 - (3% ×75)
= 75 - 2.25
= 72.75
= 73 approximately.
Therefore, the thermometer show the temperature at 73°F when there is a percentage error.
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Bo kept track of his cookie sales. He
discovered that 3 out of 5 people who
came into his bakery for cookies bought
chocolate chip cookies.
If 400 customers bought cookies at Bo's
Bakery last month, how many of them
bought chocolate chip cookies?
The number of customers that bought chocolates chips last month is 240.
How to find the how many chocolate chip cookies bought using the fractions?He discovered that 3 out of 5 people who came into his bakery for cookies bought chocolate chip cookies.
400 customers bought cookies at Bo's Bakery last month.
The number of people that bought chocolate chip cookies are as follows:
Therefore, using the fraction 3 / 5
3 out of 5 can be represented in fraction form as 3 / 5
number that bought chocolate chip = 3 / 5 × 400
number that bought chocolate chip = 1200 / 5
number that bought chocolate chip = 240
Therefore, the number of customers that bought chocolates chips last month is 240.
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I’m stuck in this one
Answer:
Step-by-step explanation:
90 - 65 = 25
x = 25 degrees
90 - 25 = 65
y = 65 degrees
Explain why the HCF of 81 and 154 must be 1.
the HCF of the numbers 81 and 154 must be 1.
HCF means the highest common factor that the two numbers have between them. When the numbers are divided by HCF, they become composite numbers. It is the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
We are given two numbers:
81 and 154
We know that 81 is:
81 = 3 × 3 × 3 × 3
And 154 is:
154 = 2 × 7 × 11
We can see that both the numbers do not have any factor in common.
So, the highest common factor that is the HCF can be 1 only.
Therefore, the HCF of the numbers 81 and 154 must be 1.
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A Broadway theater has 510 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $140, main seats for $135, and balcony seats for $100. If all the seats are sold, the gross revenue to the theater is $62,700. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $55,700. How many of each kind of seat are there?
The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Orchestra, y represent the main seat and z represent the balcony seat.
A Broadway theater has 510 seats, Hence:
x + y + z = 510 (1)
Also:
140x + 135y + 100z = 62700 (2)
And:
135y + 100z + (1/2)(140)x = 55700 (3)
From the three equations:
x = 100, y = 220, z = 190
The Broadway theater had 100 Orchestra, 220 main seat and 190 balcony seats.
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i got the answer of A but i am very unsure on how to do it. Can someone help please? thank you
Explanation:
So, looking at the ruler, we;re going to take the whole number of the measurment from the whole bars of inches it overlaps (1-3) since we know it goes past there we will have a fraction beside it (because it does not go all the way to 4) If you see the longest lines in between the 3 and 4, there are 3 bars (which means each is 1/4.) Now, we know that it covers 3/4 of the last inch. To convert to /8, we multiply the numerator and denominator by 2 so we have 6/8. The CLOSEST (but not completely correct) (in 1/8 inches) would be D. (but ONLY if A is incorrect because that is simplified and the accurate answer.
The midpoint of AB is M (2, -2). If the coordinates of A are (8, 1), what
are the coordinates of B?
Hello can you help me with this please
Answer:
Q1: Plane
Q2: Point
Q3: line
I hope this helps!
A fuel storage tank is 3/4 full. After 75 litres have been drawn off it is 3/5 full. What is the capacity of the tank?
According to the solving the capacity of the tank is = 500
Volume in mathematics refers to:The term 'volume' in mathematics refers to the amount the three-dimensional space occupied by such an item or a closed surface. The volume is measured in cubic units like as m3, cm3, in3, and so on. Volume is also referred to as capacity at times.
Seems to be volume a quantity:Volume is the amount of three-dimensional space inhabited by a liquid, solid, or gas. Volume is commonly expressed in liters, cubic meters, gallons, milliliters, teaspoons, and ounces, while many additional units exist.
According to the given data:fuel storage tank is 3/4 full.
75 liters have been drawn off.
it is 3/5 full.
The capacity of the tank = ?.
So,
3/4x - 75 = 3/5x
3/4x - 3/5x = 75
Multiplying by 20 both the side:
15x - 12x = 1,500
3x = 1500
x = 1500/3
x = 500
According to the solving the capacity of the tank is = 500
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What do you call a row of large animals separating two yard
Answer: The answer is play on words, or a pun - a row of large animals separating two yards is called an elefence.
Step-by-step explanation: The first part of the word, ele-, obviously refers to elephants, which are large animals. The second part is a fence, which separates two yards. So this is intended to have a humorous effect (I got this from go.ogle....)
Jim gross pay for the week. wad $987.00 how much was taken from his check for FICA taxes?
The amount taken from Jim's check for FICA taxes is $75.51.
What are FICA taxes?FICA (Federal Insurance Contributions Act) taxes are of two types: Social Security tax and Medicare tax.
FICA taxes simply mean United States federal payroll (or employment) taxes imposed on both employees and employers. The purpose of FICA taxes is to fund Social Security and Medicare.
These two federal programs benefit retirees, the disabled, and the children of deceased workers.
The rate for the Social Security tax is 6.2% of the taxpayer's gross pay.
The rate for the Medicare tax is 1.45% of the income earner's gross pay.
The FICA taxes rate is 7.65%.
Data and Calculations:Gross pay for the week = $987
FICA taxes = 7.65%
FICA taxes in dollars = $75.51 ($987 x 7.65%)
Thus, the amount Jim paid in FICA taxes is $75.51.
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