Answer:
19.20
Step-by-step explanation:
c = 13.86
Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enquanto nádia faz o mesmo a cada 60 minutos. Se eles acabarem de se encontrar na sala de café, daqui a quantas horas vão se rever nesse mesmo lugar?
Responder:
3 horas
Explicação passo a passo:
Dado :
Miguel a cada 45 minutos
Nádia a cada 60 minutos
Número de horas que eles vão se ver no mesmo lugar:
Para fazer isso ;
Obtenha o menor múltiplo comum de 60 e 45
Múltiplos de:
45: 45, 90, 135, 180, 225.
60: 60, 120, 180, 240, 300.
O menor múltiplo comum de 45 e 60 é 180
° Assim, eles se verão no mesmo lugar após 180 minutos;
Número de horas = 180/60 = 3 horas
identify the meanings of the varibles in the point-slope form of a line
The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
Given that the variables in the point-slope form of a line.
The general form of the equation of a line is y - y₁ = m (x-x₁) where m is the slope of line, y₁ and x₁ is any point on the line
It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane
m = slope of the line
The general equation of a line is y = mx + c where
m = slope of line
(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on
(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis
Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
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MFP Research reported that average apartment rent in the U.S. is $1,083. A random sample of 39 apartments was selected. Using a population standard deviation of $227, what is the probability that the sample mean will be greater than $1,035
The probability that the sample mean will be greater than $1,035 when using a population standard deviation of $227, where the average apartment rent in the U.S. is $1,083, and a random sample of 39 apartments was selected can be calculated using the Z-score.
The formula for calculating the Z-score is given below:
Z = (X - μ) / (σ/√n) where X = the sample mean = $1,035μ =
the population mean
= $1,083σ = the population standard deviation =
$227n = the sample size = 39Substituting these values in the above formula, we have:
Z = (1,035 - 1,083) / (227/√39)Z = -1.65Using the standard normal distribution table, we can find the probability that the Z-score is greater than -1.65. This probability is equal to the area to the right of -1.65 on the standard normal distribution curve.
Using a standard normal distribution table, the area to the right of -1.65 is 0.9505. Therefore, the probability that the sample mean will be greater than $1,035 is 0.9505 or approximately 95%.Hence, the probability that the sample mean will be greater than $1,035 is approximately 95%.
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a video game store has 20% sale on all video games. if the you wanted cost 32 dollars,what would the sale price be?
I really need help with this question!!
f(x) = 3x - 3
g(x) = 4x + 5
find (f+g) (3)
Answer:
23
Step-by-step explanation:
(f + g)(3) = f(3) + g(3)
f(3) = 3(3) - 3 = 9 - 3 = 6
g(3) = 4(3) + 5 = 12 + 5 = 17
Then
(f + g)(3) = 6 + 17 = 23
Work out (6 × 10²) ÷ (3 × 105)
Give your answer in standard form.
Answer: 40/21
Step-by-step explanation:
\(3 \times 105=315\\\\6 \times 10^{2}=600\\\\\implies \frac{6 \times 10^{2}}{3 \times 105}=\frac{600}{305}=\boxed{\frac{40}{21}}\)
Niu has decorated
�
xx cards. He started with
24
2424 stickers, and he used
4
44 stickers per card.
The value of expression to represent stickers Niu has left is,
⇒ 24 - 4x
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.
We have to given that;
Niu has decorated x cards.
He started with 24 stickers, and he used 4 stickers per card.
Now, Number of used stickers in x cards = 4x
Hence, The value of expression to represent stickers Niu has left is,
⇒ 24 - 4x
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HELPPPP
please help me answer this question-
Answer:
\( \displaystyle GH = 2 \sqrt{30} \)
\( \displaystyle FH = 2 \sqrt{10} \)
\( \displaystyle m \angle G = {30}^{ \circ} \)
Step-by-step explanation:
QUESTION-2:we are given a right angle triangle
it's a 30-60-90 triangle of which FH is the shortest side
remember that,in case of 30-60-90 triangle the the longest side is twice as much as the shortest side thus
our equation is
\( \displaystyle 2FH=4\sqrt{10}\)
divide both sides by 2
\( \displaystyle\frac{2FH}{2}= \frac{ 4 \sqrt{10} }{2}\)
\( \displaystyle FH =2 \sqrt{10}\)
Question-1:in order to figure out GH we can use Trigonometry because the given triangle is a right angle triangle
as we want to figure out GH we'll use sin function
remember that,
\( \displaystyle \sin( \theta) = \frac{opp}{hypo} \)
let our opp, hypo and \(\theta\) be GH, 4√10 and 60° respectively
thus substitute:
\( \displaystyle \sin( {60}^{ \circ} ) = \frac{GH}{4 \sqrt{10} } \)
recall unit circle:
\( \displaystyle \frac{ \sqrt{3} }{2} = \frac{GH}{4 \sqrt{10} } \)
cross multiplication:
\( \displaystyle 2 GH = 4 \sqrt{10} \times \sqrt{3} \)
simplify multiplication:
\( \displaystyle 2 GH = 4 \sqrt{30} \)
divide both sides by 2:
\( \displaystyle GH = 2 \sqrt{30} \)
QUESTION-3:Recall that, the sum of the interior angles of a triangle is 180°
therefore,
\( \displaystyle m \angle G + {60}^{ \circ} + {90}^{ \circ} = {180}^{ \circ} \)
simplify addition:
\( \displaystyle m \angle G + {150}^{ \circ} = {180}^{ \circ} \)
cancel 150° from both sides
\( \displaystyle m \angle G = {30}^{ \circ} \)
Question 9 (0.5 points)
In this situation, simple interest is calculated yearly.
How much interest was earned?
Principal: $12,000; Time: 2 years: Interest rate: 10%; Interest: ?
$24,000
$240
$2,400
Write an equation in the slope-intercept form for the line with slope - 3/2 and y-intercept 6
Answer:
\(y = -\frac{3}{2} +6\)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope: \(-\frac{3}{2}\)
Y-Intercept: \(6\)
\(y = -\frac{3}{2} +6\)
What is the sequence of 2,5,10,17
Given the sequence below
\(2,5,10,17\)It follows the rule
\(S_n=n^2+1\)Where
\(undefined\)\(n\text{ is the number of terms}\)Where
\(\begin{gathered} n=1 \\ S_n=n^2+1=1^2+1=1+1=2 \end{gathered}\)Where
\(\begin{gathered} n=2 \\ S_n=n^2+1=2^2+1=4+1=5 \end{gathered}\)Where
\(\begin{gathered} n=3 \\ S_n=n^2+1=3^2+1=9+1=10 \end{gathered}\)Where
\(\begin{gathered} n=4 \\ S_n=n^2+1=4^2+1=16+1=17 \end{gathered}\)For the 5th term,
Where
\(S_n=n^2+1=5^2+1=25+1=26\)Hence, the sequence is
\(S_n=n^2+1\)
E
(5x + 9)
(30-3x)
A
Find the value of angle DFE
Angle BFC=Angle DFA=Angle EFA + Angle DFE
Solve for x, then use substitution for 27+2x
5x+9=30-3x+27+2x
Everything is on the picture
9514 1404 393
Answer:
43°
Step-by-step explanation:
Following the instructions is generally useful.
5x +9 = 30 -3x +27 +2x
6x = 48 . . . . add x-9
x = 8 . . . . . . .divide by 6
27 +2x = 27 +2(8) = 43 . . . . substitute into the expression for angle DFE
angle DFE = 43°
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
The rotation is 180 degrees in clockwise direction.
What is rotation?
The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.
The complete question is:
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.
As, (x,y) to (-x, -y)
Hence, the rotation is 180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.
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Name the SI Units for length, mass, time, current, amount of substance, temperature and luminous intensity. Also give their symbols. Also, what are angstroms?
The SI units for the quantities you mentioned are:
1. Length: The SI unit for length is the meter (m).
2. Mass: The SI unit for mass is the kilogram (kg).
3. Time: The SI unit for time is the second (s).
4. Electric current: The SI unit for electric current is the ampere (A).
5. Amount of substance: The SI unit for the amount of substance is the mole (mol).
6. Temperature: The SI unit for temperature is the kelvin (K).
7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.
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Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
A popular news article currently has 50,600 page views, and that number is rising 36% every hour. How many page views will the article have in seven hours? If necessary round your answer to the nearest whole number
Answer: 320,172 views
Step-by-step explanation: To figure this out first multiply 50,600 by .36, finding out what the 36% increase is, the get the answer which is 68,816. Then you continue and do that six more times to get the answer of 320,172.45573 which rounded is 320,172 views.
ASAP PLEASEEE HELPPP PLEASEEEE
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?
A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units
2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.
A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.
3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?
A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.
1) A translation of 3 units down, option D.
2) The vertex moves 3 units down.
3) The new range is y ≥ -3, correct option is C.
Which transformation is applied?For a function f(x) a vertical shift of N units is written as:
g(x) = f(x) + N
In this case, we have:
f(x) = |x|
h(x) = |x| - 3
Then h(x) = f(x) - 3
This is a shift of 3 units down, the correct option is D.
How is the vertex affected?
The vertex is translated 3 units down, like the whole graph of the function.
How is the range affected?
The vertex defines the minimum of the range, so if the vertex goes 3 units down, then the range also does, the new range will be:
y ≥ -3.
So the correct option is C.
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PLEASE PLEASE PLEASE HELP ME!!!!
A plane, 50 miles away from its
destination, is flying toward the airport at
an altitude of 30,500 feet. Later, this same
plane is 20 miles from the airport and has
descended to an altitude of 18,000 ft.
How far has the plane flown?
Answer:
Below
Step-by-step explanation:
The plane's distance is the hypotenuse of a right triangle with legs of
(50 -20)mi = 30 miles and 30500 - 18000 = 12500 ft
for consistent units 12500ft/5280ft/mile = 2.36742 miles
Now just use Pythagorean theorem
Hypotenuse^2 = leg1^2 + leg2^2
h^2 = 30^2 + 2.36742^2
h = ~ miles 30.093 miles ( note that the vertical descent distance does not matter much)
(this is 158 892 feet)
The graph shows the number of students enrolled in a high school over a seven years period.
The lowest common denominator is...
3/4 + 4/12
Don’t add them just answer the question please
if y varies inversely with x and y= -18 when x = 6 , find y when x=5
Answer:
y = -108/5
Step-by-step explanation:
An inverse variation is xy = k where k is a constant
xy =k
6*-18 = k
-108 = k
xy = -108
Let x = 5
5y = -108
Divide by 5
y = -108/5
______
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The pants cost $40 and Gina had a coupon for 15% off how much money did she save?
Answer:
she saved 6$ because 15% off 40=34 40-34=6
Your friend has two ratios: one written as a fraction and one written as a percent. Here is an example:
41/50 and 83%
How can they decide which ratio is greater?
The ratio 83% is greater than the ratio 41/50.
To compare the two ratios, one written as a fraction (41/50) and the other as a percent (83%), we need to convert them to the same format.
To compare fractions and percentages directly, we can convert the fraction to a percentage or the percentage to a fraction.
Converting the fraction to a percentage:
To convert the fraction 41/50 to a percentage, we divide the numerator (41) by the denominator (50) and multiply by 100:
(41/50) * 100 = 82%
Converting the percentage to a fraction:
To convert the percentage 83% to a fraction, we divide the percentage by 100:
83/100
Now that we have both ratios in fraction form, we can directly compare them.
41/50 is equivalent to 82/100, and 82/100 is less than 83/100.
Therefore, the ratio 83% is greater than 41/50
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Whats 21 square root of 98 divided by 7 square root of 21
The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407
A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.
Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.
Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.
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PLEASE HELP ME I DONT UNDERSTAND
Answer:
\(d=4\sqrt{5}\)
Step-by-step explanation:
Write down both endpoint coordinate points:
\((-5,-3)(-1,5)\)
Use the distance formula:
\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})\)
Insert values:
\(d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}\)
Simplify parentheses:
\(d=\sqrt{(4)^2+(8)^2}\)
Simplify exponents:
\(d=\sqrt{16+64}\)
Add:
\(d=\sqrt{80}\)
Find the square root. Find multiples of 80 that are perfect squares:
\(16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\\)
\(d=4\sqrt{5}\\\\d=8.94427190...\)
:Done
Can someone please help me with this? It’s due today!! I need help ASAP
Answer: 6 in ; 2nd option
Step-by-step explanation: Since the formula for the volume of a cube is \(s^3\) where s represents a side length, you can just take the cube root of the volume to find each side length,
\(\sqrt[3]{216}\\ =6\)
Therefore, each side is 6 in.
A plan flies 495 miles with the wind and 440 miles against the wind in the same length of time. If the speed of the wind is 10 mph, find the speed of the plain in still air
Let's assume the speed of the plane in still air is represented by 'p' (in mph).
When the plane is flying with the wind, its effective speed increases by the speed of the wind. So the speed of the plane with the wind is 'p + 10' (in mph).
When the plane is flying against the wind, its effective speed decreases by the speed of the wind. So the speed of the plane against the wind is 'p - 10' (in mph).
The time taken to travel a certain distance is given by the formula: Time = Distance / Speed.
Given that the length of time is the same for both situations, we can set up the following equation:
495 / (p + 10) = 440 / (p - 10)
We can cross-multiply to solve for 'p':
495(p - 10) = 440(p + 10)
495p - 4950 = 440p + 4400
495p - 440p = 4400 + 4950
55p = 9350
p = 9350 / 55
p ≈ 170
Therefore, the speed of the plane in still air is approximately 170 mph.
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Determine which point is a solution to the system
y s -4x + 3
by >
> 3x - 3
Answer:
The point is (0, 0).
Step-by-step explanation:
We'll test all the points in the given equations:
→ (0, -3):
\(\begin{cases} y\le-4x+3 \\ -3\le-4\cdot0+3\\ -3\le0+3\\ -3\le3\Longrightarrow True!\end{cases} \begin{cases} y>3x-3\\ -3> 3\cdot0-3\\ -3>0-3\\ -3>-3\Longrightarrow False!\end{cases}\)
→ (0, 0):
\(\begin{cases} y\le-4x+3 \\ 0\le-4\cdot0+3\\ 0\le0+3\\ 0\le3\Longrightarrow True!\end{cases} \begin{cases} y>3x-3\\ 0>3\cdot0-3\\ 0>0-3\\ 0>-3\Longrightarrow True!\end{cases}\)
→ (1, -2):
\(\begin{cases} y\le-4x+3 \\ -2\le-4\cdot1+3\\ -2\le-4+3\\ -2\le-1\Longrightarrow True!\end{cases} \begin{cases} y>3x-3\\ -2>3\cdot1-3\\ -2>3-3\\ -2>0\Longrightarrow False!\end{cases}\)
→ (1, 2):
\(\begin{cases} y\le-4x+3 \\ 2\le-4\cdot1+3\\ 2\le-4+3\\ 2\le-1\Longrightarrow False!\end{cases} \begin{cases} y>3x-3\\ 2> 3\cdot1-3\\ 2>3-3\\ 2>0\Longrightarrow True!\end{cases}\)
The single point that obeys both inequalities is (0, 0).
Marta has 2 meters 80 centimeters of cotton cloth and 3 meters 87 centimeters of linen cloth. What is the total length of both pieces of cloth?
Answer:
6m 67cm
Step-by-step explanation: