Answer:
v = [tex]\frac{fu}{u-f}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] + [tex]\frac{1}{u}[/tex]
Multiply through by fuv to clear the fractions
uv = fu + fv ( subtract fv from both sides )
uv - fv = fu ← factor out v from each term on the left side
v(u - f) = fu ← divide both sides by (u - f)
v = [tex]\frac{fu}{u-f}[/tex]
The region bounded by chord and arc is called ________.
Select one:
a. Sector
b. Segment
c. Both a and b
d. None of the above
The region bounded by a chord and an arc is known as a segment .
what is the area of the figure?
○ 45 cm²
○50 cm²
○70 cm²
○90 cm²
Answer:
third option; 70 cm²
Step-by-step explanation:
Rectangle:
5 x 10 = 50
Triangle:
1/2bh
18 - 10 = 8
1/2 5(8)
1/2 40
20
Total area:
50 + 20 = 70 cm²
D. Wade's iPhone is 4 12/8 inches long. LeBron's iPhone is 5 3/8 inches long. Whose phone is longer, D. Wade or Lebron? Or are the phones the same length? Explain how you know.
Answer: Wade's iPhone is longer.
Step-by-step explanation: 4 12/8 = 5 4/8 > 5 3/8 Brainliest please?
The set of ordered pairs (-1, 8), (0, 3), (1.-2), and (2, -7) represent a function. What is the range of the function?
O {x: x = -1, 0, 1, 2}
O {y: y = -7, -2, 3, 8}
O {x: x = -7, -2,-1, 0, 1, 2, 3, 8}
O {y: y = -7, -2, -1, 0, 1, 2, 3, 8}
Intro
Done
The range of the function is: (b) {y: y = -7, -2, 3, 8}
The ordered pairs are given as:
(x,y) = {(-1, 8), (0, 3), (1.-2), and (2, -7)}
The range is the set of output values of the function
The y values represent the range.
So, we have:
y = {8, 3,-2, -7}
Hence, the range of the function is:
{y: y = -7, -2, 3, 8}
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Please someone helppp
Step-by-step explanation:
5)
sin2a=2sina.cosa
Subtitute values in formula:
sin2a=2(3/8)(5/8)
sin2a=30/64
6)
cos2∅=2cos²∅-1
=2(5/3)²-1
=2(25/9)-1
=50/9-1
=50-9/9
=41/9
Note:if you need to ask any question please let me know.Help. I would appreciate it just forget the highlighting ;) ♡ thanks!!
Ollie won 2 games for every 5 games that Noelle won. If Noelle won 15 more
games than Ollie over the weekend, how many games did Ollie win?
Ollie:
Noelle:
Answer:
Answer:
6
Step-by-step explanation:
2:5, 4:10, 6:15
The proportion is solved and the number of games won by Ollie and Noelle over the weekend are 10 and 25 respectively
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
Ollie won 2 games for every 5 games that Noelle won
So , the proportion is 2 : 5
Now , when Noelle won 10 games , Ollie won 4 games
And , when Noelle won 15 games , Ollie won 6 games
when Noelle won 20 games , Ollie won 8 games
when Noelle won 25 games , Ollie won 10 games
So , the difference of their winnings is now = 15 games
Hence , the number of games won by Ollie and Noelle over the weekend are 10 and 25 respectively
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A dice is thrown four times in a row. Find the probability of getting different result each throw.
A) 5/18
B) 1/4
C) 7/12
D) 5/13
E) 1/18
Answer:
the answer is b 1/4 its means got it 1 time same after throwing it 4 times
Step-by-step explanation:
Step-by-step explanation:
the answer for the question is b) 1/4
John runs the same number of miles each day.write an expression to represent the number of miles John ran in June last year
Answer:
30x
Step-by-step explanation:
it would be 30x because there are 30 days in june and x represents the number of miles he runs everyday.
each employee can assemble 28 castles per hour how many employees worked each hour?
Answer:
98 employee
Step-by-step explanation:
Answer:
the answer is 59 because if you do 1652 divided by 28 you get 59.
Step-by-step explanation:
HELP ME PLZ I WILL GIVE BRAINLY AND 50 PTS!!
.
Find the value of |5| - 4(3 2 - 2).
(it's not 7 or 155)
7
-23
-33
-11
Answer:
B. -23Step-by-step explanation:
I assume it is:
|5| - 4(3² - 2)Simplifying in steps:
5 - 4(9 - 2) = 5 - 4(7) = 5 - 28 = -23Correct choice is B
[tex]\\ \sf\longmapsto |5|-4(3^2-2)[/tex]
[tex]\\ \sf\longmapsto 5-4(9-2)[/tex]
[tex]\\ \sf\longmapsto 5-4(7)[/tex]
[tex]\\ \sf\longmapsto 5-28[/tex]
[tex]\\ \sf\longmapsto -23[/tex]
What is the solution to the inequality 7x - 20 > 3(2 - 2x)?
A. Ox<0
B. Ox>2
C. Ox>-3
D. Ox<-1
[tex]7x-20>3(2-2x)\\\\7x-20>6-6x\\\\7x+6x>6+20\\\\13x>26 \ \ /:13\\\\\huge\boxed{x>2}[/tex]
At the city museum, child admission is $5.10 and adult admission is $9.60. On Monday, twice as many adult tickets as child tickets were sold, for a total sales of $558.90. How many child tickets were sold that day?
Answer:
23
Step-by-step explanation:
The amount of children's tickets is x, while the amount of adults' tickets is 2x
5.1*x- the amount of money from children
9.6*2x= 19.2x- the amount of money from adults
5.1x+19.2x= 558.9
x=23 - child tickets
8= -3c + 29
I gotta solve for c HELP
Answer:
[tex]c=7[/tex]
Step-by-step explanation:
[tex]8=-3c+29[/tex]
⇒ Switch sides:-
[tex]-3c+29=8[/tex]
⇒ Subtract 29 from both sides:-
[tex]-3c+29-29=8-29[/tex]
[tex]-3c=-21[/tex]
⇒ Divde both sides by -3:-
[tex]\frac{-3c}{-3}=\frac{-21}{-3}[/tex]
[tex]c=7[/tex]
OAmalOHopeO
Tell whether the given statement is true or false. Explain your choice.
All rational numbers are integers.
Answer:
False
all rational numbers can out be integers because for example
[tex]\frac{5}{-3}[/tex] is rational number but not an integer
Jenny is saving money to buy a game. So far she has saved $12, which is one-fourth of the total cost of the game. How much does the game cost
Step-by-step explanation:
solution:
The amount of money Jenny is saving=$12
The cost of game=1÷4of 12
1÷4×12
48
:.The total price of game=$48
seven more than one fourth of a number is one less than one third of a number
which number does NOT represent an integer? A. 3 B. 20.1 C. -10 D. 20/4
Answer:
the number doesnt represent an integer?
A. 3
B. 20.1
C. -10
D. 20/4
Step-by-step explanation:
We call integers the “counting numbers, their negatives and zero”. I.e. 0,1,−1,2,−2,3,−3,.. etc.
non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.
Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.
Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g. 345.232… and −243.13242240… where there are “infinitely many” digits at the end. Note that 2.5 is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.
To summirize, your answer is the following:
“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.
Examples of “reals which are not integers”: 1.5,2.88,1.3333… etc
the answer is
B. 20.1
The sun is 1.5 x 10^11 m from earth.
Express this distance with an SI prefix.
Answer:
First, we write the SI prefixed. The SI unit for distance is meters.
Kilo = 10³
Mega = 10⁶
Giga = 10⁹
Terra = 10¹²
Because our value has ten to the power of 11, we will use the closest and lowest power prefix, which is giga.
1.5 x 10¹¹ / 10⁹
= 1.5 x 10² Gm or 150 Gm
Writing in kilometers, we simply repeat the procedure except we divide by 10³ this time.
1.5 x 10¹¹ / 10³
= 1.5 x 10⁸ km
Step-by-step explanation:
First, we write the SI prefixed.
The SI unit for distance is meters.
Kilo = 10³
Mega = 10⁶
Giga = 10⁹
Terra = 10¹²
Because our value has ten to the power of 11, we will use the closest and lowest power prefix, which is giga.
1.5 x 10¹¹ / 10⁹
= 1.5 x 10² Gm or 150 Gm
Little more explanation : In scientific notation, if the exponent of 10 is positive, the number is very very large. In the metric system, very large numbers are expressed in megameters (Mm) or gigameters (Gm). Gigameters is equal to 10⁹ meters. So, in SI prefix, that would be equal to 150 Gm. In kilometers, that would be equal to:
1.5×10¹¹ m * (1 km/1000 m) = 1.5×10⁸ km
Ref: Web
Please help ; ) graph is linked to this post
Lucy is estimating the income levels of households in a specific zip code. She randomly calls 100 households and collects
information about their income levels. Which of the following is not true?
Select the correct answer below:
The average income level of all households in the zip code is a population parameter.
O The total income of the surveyed households is a sample statistic.
O The average income of the surveyed households is a sample data.
The surveyed households are considered a sample of the overall population of households living in the zip code.
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The average income for the household that is surveyed should represent the sample data is not relevant.
The information that should be considered as follows:
The level of the income of the household represents the parameter of the population.The total income for the household that is surveyed represents the statistics of the sample.The household i.e. surveyed is relevant for the sample of the total population that lives in the zip code.Therefore we can conclude that the average income for the household that is surveyed should represent the sample data is not relevant.
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Chris is walking at a speed of 3.25 miles per hour. If he continues to walk at the same speed,how far can Chris walk in 1.5 hours
Answer:
4.87
Step-by-step explanation:
3.25 * 1.5 = 4.87
9/n+2=2/6 How do I solve for n?
Answer:
n = 25
Step-by-step explanation:
9 / n+2 = 2/6
can be written as
n+2 / 9 = 6/2
n+2/9 = 3
n+2 = 3 * 9
n+2 = 27
n = 27 - 5
n = 25
8.
Evaluate the function rule for the given value. y = 12 • 3^x for x = –2
A. 4/9
B. 4/3
C. –72
D. 4
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
y = 12 × [tex]3^{x}[/tex] ← substitute x = - 2 into the expression
y = 12 × [tex]3^{-2}[/tex] = 12 × [tex]\frac{1}{3^{2} }[/tex] = 12 × [tex]\frac{1}{9}[/tex] = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex] → B
Answer:
B
Step-by-step explanation:
y= 12 *3 ^x , substitute x with -2
y=12 *3^-2 , use the rule a^ - b = 1 /a^b
y= 12 / 3^2 , 3^2 =3*3 = 9
y= 12/9, divide both numbers by 3, 12÷3/ 9÷3
y= 4/3
A hummingbird can travel up to 15 meters per second.
What is the hummingbird's speed in miles per hour?
1 mile ≈ 1609 meters
Answer:
0.000155376 miles per hour
Step-by-step explanation:
calculator
what should be multiplied with -25/36 to get -5/9
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}[/tex]
A crew of 2 skilled workers and 4 helpers is to perform construction work that requires a quantity of 1,250 units. Base wages for a skilled worker and a helper are $50/hr and $25/hr, respectively. The crew’s production rate is known to be 25 units/hr under normal working conditions (8 hours/day). Calculate the total hours that the crew to complete the work and the total direct labor cost to complete the work.
The total hours needed for the crew to complete the job is 50 hours and the total direct labour cost is $3750
In order to calculate the total hours that it would take to complete the work, divide the total units needed to complete the construction work by the crew's production rate
Total hours it would take to complete the work = total units needed to complete the job / crew’s production rate
1250 units / 25 units/hr = 50 hours
Total direct labor cost = total skilled labor wages + total wages for the helps
Total skilled labor wages = base wages for a skilled worker per hour x total hours needed to complete the work
$50/hr x 50 hours = $2500
total wages for the helps = base wages for the helps per hour x total hours needed to complete the work
$25/hr x 50 hours = $1250
Total direct labour cost = $2500 + $1250 = $3750
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Is -15/6 a real number?
2x(x^2 - 3x + 1) + x^2(3 - 2x)
Answer:
-3x^2 + 2x
Step-by-step explanation:
2x^3 - 6x^2 + 2x + 3x^2 - 2x^3
- 3x^2 +2x
determine the equation of a vertical line that passes through (9,-7)
Answer:
x = 9
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (9, - 7) with x- coordinate 9 , then
x = 9 ← equation of vertical line
