Answer:1/25
Step-by-step explanation: do 5 to the second power which will get all combinations then do 1 as the numerator over the denominator which is the number of combinations.
evaluate 3xy square -y if x=2 and y=5.
Answer:
-750
Step-by-step explanation:
Step 1: Write out expression
3xy²(-y)
Step 2: Replace variables
3(2)(5)²(-5)
Step 3: Evaluate
3(2)(25)(-5)
6(25)(-5)
150(-5)
-750
Look at the plotted points. Which statements are true? Select all that apply. Point C is located at (1, 5). Point D is located at (0, 1). Point E is located at (12, 6). Point F is located at (8, 6). Point G is located at (9, 2).
Answer:
its D, F and B
Step-by-step explanation:
I just got it right on edge 2020
)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green? I need help
Answer:
40%
Step-by-step explanation:
The probability of the arrow landing on the green section is a 40% chance
This is because there are only 3 sections where one is 50 and the other is 10
To find the green we can create an equation, where x = green section
50 + 10 + x = 100
The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise
60 + x = 100
x = 100 - 60
x = 40
Worksheet 1.3
Part 1: Write a math expression for each problem (model the problem).
1)
Lumpy drove for h hours at 50 mph. How far did he drive?
Answer:
d = 50h
Step-by-step explanation:
distance = speed × time
Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...
d = 50h
What is f(6) for the function f(x)=3x-8
Answer:
10
Step-by-step explanation:
Plug in "6" for each x value.
3(6) - 8
18 - 8
10
You estimate that the driving distance from Raleigh, NC to Charlotte, NC is around 180 miles. When you looked it up on the internet, you found that the actual distance is only 167.5 miles. What was the relative (percent) error of your estimate? In other words, how far off were you from the actual value?
Answer:
i. The relative error in the estimated distance is approximately 7.5%.
ii. The value of the estimated distance was about 12.5 miles far of from the actual value.
Step-by-step explanation:
Given that;
Estimated distance ≅ 180 miles
Actual distance = 167.5 miles
Then,
Estimated distance - Actual distance = 180 - 167.5
= 12.5 miles
So that,
Relative error = [tex](\frac{estimated distance - actual distance}{actual distance} )[/tex] × 100%
= [tex]\frac{12.5}{167.5}[/tex] × 100%
= 0.07463 × 100%
= 7.5%
i. The relative error in the estimated distance is approximately 7.5%.
ii. The value of the estimated distance was about 12.5 miles far of from the actual value.
A thread is wound 200 times round a reel of diameter 5cm. Use the value 3 for pie to find the approximate length of the thread in metres.
Answer:
L = 30 m
Step-by-step explanation:
lets make it simple and accurate
given
reel dia = 5 cm = 0.05 m
200 times round the reel
π = 3
reel O circumference = π d
Length of thread = Number of times round the reel x circumference
therefore,
L = 200 x (3 * 0.05)
L = 30 m
The approximate length of the thread wound around the reel is 30 meters.
Here, we have,
To find the approximate length of the thread wound around the reel, we can use the formula for the circumference of a circle.
Circumference = π * diameter
Given that
the diameter of the reel is 5 cm and we are using the value 3 for π, we can calculate the circumference:
Circumference = 3 * 5 cm
Circumference = 15 cm
Now, since the thread is wound 200 times around the reel, we need to calculate the total length of the thread:
Total length of thread = Circumference * Number of times wound
Total length of thread = 15 cm * 200
Total length of thread = 3000 cm
To convert the length from centimeters to meters, we divide by 100:
Total length of thread in meters = 3000 cm / 100
Total length of thread in meters = 30 meters
Therefore, the approximate length of the thread wound around the reel is 30 meters.
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Work out the value of v when u = 4 and t = 3 v=u+10t
Answer:
v=u+10t
u=4
t=3
v=4+10*3
v=4+30
v=43
Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Plane A / 7.62 mi away
Plane A / 6.63 mi away
Plane B / 6.84 mi away
Plane B / 7.33 mi away
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
We have to calculate the distance of each plane from the airport.
In other to do this, we would use the trigonometric function of Sine
sin θ = Opposite/Hypotenuse
For Plane A
Plane A departs at a 41° angle from the runway
sin θ = Opposite/Hypotenuse
θ = 41°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 41° = 5 miles/Hypotenuse
sin 41° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 41°
Hypotenuse = 7.6212654335 miles
Approximately to the nearest hundredth ≈ 7.62 miles
For Plane B
Plane B departs at a 43° from the runway
sin θ = Opposite/Hypotenuse
θ = 43°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 43° = 5 miles/Hypotenuse
sin 43° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 43°
Hypotenuse = 7.3313959282 miles
Approximately to the nearest hundredth ≈ 7.33 miles
From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.
Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
I got it right on the test
Factor expressions x^2+4x+4
Answer:
Your answer is:
(x+2)^2
Factor x2+4x+4
x2+4x+4
The middle number is 4 and the last number is 4.
Add together to get 4
Multiply together to get 4
2+2 = 4
2*2 = 4
(x+2)(x+2) or (x+2)^2
opposite value of integer
6
Answer:
-6
Step-by-step explanation:
The opposite value of an integer is the same distance from the origin of the number line as the number, just on the opposite side. So the integer 6's opposite is -6.
Use a graphing calculator, or another piece of technology, to find the zeros of the function f(x) = -2x3 + 5x2 +1.
What are the approximate zeros to the nearest tenth?
There may be more than one correct answer. Select all correct answers.
Answer:
x
≈
2.57538512
Step-by-step explanation:
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answer:
Kindly check explanation
Step-by-step explanation:
Let number of loaves = nl
Cups of flour = cp
Tablespoonful of water = sw
Teaspoonful of salt = ss
1 loaf of bread calls for :
2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt
1 loaf :
cp = 2 × nl
sw = 12 × nl
ss = 1 × nl = nl
nl - - - - - - cp - - - - - - sw - - - - - - ss
1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1
2 - - - - - - - 4 - - - - - - - 24 - - - - - 2
4 - - - - - - - 8 - - - - - - - 48 - - - - - 4
3 - - - - - - - 6 - - - - - - - 36 - - - - - 3
Number of loaves = cups of flour / 2
ABC is an acute triangle. Two of it's side measure 11 cm and 14 cm. what is the range of possible values for its third side
Answer:
3 cm < x < 25 cm
Step-by-step explanation:
Given 2 sides of a triangle then the possible values for the third side are
let the third side be x
difference of sides < x < sum of sides , that is
14 - 11 < x < 14 + 11
3 < x < 25
Tony buys a CD that is priced at $13.59. He has a coupon for $1.85 off. He pays with a $20 bill. Which is the best whole number estimate of how much change he gets? $8 $8.26 $9 $9.26
Answer:
$8
Step-by-step explanation:
13.59-1.85=11.74
20-11.74=8.26
8.26 rounded Is 8
Answer:
A
Step-by-step explanation:
What is the value of the expression below?
72 ÷ 4.5x3+8
Answer:
56
Step-by-step explanation:
Apply PEMDAS:
[tex]72 / 4.5*3+8\\\\16*3+8\\\\48+8\\\\\boxed{56}[/tex]
If two different data sets have the same mean, the one with a wide range gives a better representation of its cua
True
False
Answer:
True
Step-by-step explanation:
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000.
What is the explicit function that represents Mark's salary?
Answer:
The explicit function that represents Mark's salary is;
[tex]y = \$ 65,000 \times (1.02)^x[/tex]
Step-by-step explanation:
The given parameters are;
The amount Mark will make at annually as an engineer = $65,000
The percentage annual pay increase guaranteed by the company = 2%
The explicit function that represents Mark's salary can be presented as follows;
Let Mark's present salary = y
Therefore we have;
y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ
Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.
If you have designed a test that measures principal leadership, and want to explore whether there are other constructs that are responsible for principal leadership, you would probably want to use which of the following techniques?
a. Factor analysis
b. Multi-trait
c. Pearson Product Moment Correlation
Answer:
Factor analysis
Step-by-step explanation:
Factor Analysis is a method for modeling observed variables, and their covariance structure, in terms of a smaller number of underlying unobservable “factors.” These factors are typically viewed as broad concepts or ideas that may describe a noted occurrence.
Take for example:
A basic impulse of acquiring a certain social level might explain most consumption behavior. These unobserved factors are more interesting to the social scientist than the noted numerical measurements.
What is the value of y
10+2x
2y+8
10
18
Answer:
you cant answer the question you need to attach full question photo
hello, please help thank youu!!
Answer:
36 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
(5[tex]\frac{1}{2}[/tex] x 3) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (10 ÷ [tex]\frac{1}{2}[/tex])
(16[tex]\frac{1}{2}[/tex]) + (20)
36 [tex]\frac{1}{2}[/tex]
16\3 × 3\1=48\3
10\1÷ 1\2
10\1 × 2\1=20\1
20\1 + 20\1=960\3
(58-x)-(x)=12 in one variable
Answer:
x = 23
Step-by-step explanation:
Step 1: Write out equation
(58 - x) - (x) = 12
Step 2: Distribute negative
58 - x - x = 12
Step 3: Combine like terms
58 - 2x = 12
Step 4: Subtract 58 on both sides
-2x = -46
Step 5: Isolate x (divide both sides by -2)
x = 23
B is the midpoint of AC.
1. AB = 3x + 6 BC = 2x + 14 Find AC.
2. AB = 5x – 8 BC = 16 - 3x Find AC.
3. AC = 3x - 1 BC = 12-X Find AB.
4. AB = 2x + 11 BC = 4x - 5 Find AC.
5. AC = 6x-4 BC = 4x - 3 Find AB.
The value of,
1. AB = 3x + 6 BC = 2x + 14 then, AC = 5x + 20
2. AB = 5x – 8 BC = 16 - 3x then, AC = 2x + 8
3. AC = 3x - 1 BC = 12-X then, AB = 4x - 13
4. AB = 2x + 11 BC = 4x - 5 then AC = 6x + 6
5. AC = 6x-4 BC = 4x - 3 then AB = 2x - 1
What is Midpoint?
Midpoint is the point in the middle of the two endpoints of a line segment.
Now, B is midpoint of AC.
Then, AC = AB + BC
1. AB = 3x + 6, BC = 2x + 14
Then, AC = 3x + 6 + 2x + 14
AC = 6x + 20
2. AB = 5x – 8, BC = 16 - 3x
Then, AC = 5x - 8 + 16 - 3x
AC = 2x + 8
3. AC = 3x - 1, BC = 12-x
Then, AB =( 3x -1 ) - ( 12 - x )
AB = 2x - 13
4. AB = 2x + 11, BC = 4x - 5
Then, AC = 2x + 11 + 4x - 5
AC = 6x + 6
5. AC = 6x-4, BC = 4x - 3
Then, AB = (6x - 4) - ( 4x - 3 )
AB = 2x - 1
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I need the value of y
-2(4 + 3y) = -2(4 + y)
Answer:
y=0
Step-by-step explanation:
-2(4+3y)=-2(4+y)
-8-6y=-8-2y
+8 +8
-6y=-2y
+2y +2y
-4y=0
-4y/-4=0/-4
y=0
If two locations are 1 km apart in actuality but only 1 cm apart on a map, what is the map's scale? A. 1:1,000 B. 1:10,000 C. 1:100,000 D. 1:1,000,000
Answer:
C
Step-by-step explanation:
1 km = 100,000 cm
Answer:
1:100,000
Step-by-step explanation:
One km is 1000 times a meter and 100,000 times a cm.
Find the distance d(P1, P2) between the points P1 and P2. P1 = (-4, -3); P2 = (2, 2)
Answer:
[tex]\sqrt{61}[/tex] ≈ 7.81
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P1(- 4, - 3) and (x₂, y₂ ) = P2(2, 2)
d = [tex]\sqrt{(2+4)^2+(2+3)^2}[/tex]
= [tex]\sqrt{6^2+5^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex] ≈ 7.81 ( to 2 dec. places )
The distance between P₁ = (-4, -3) and P₂ = (2, 2) is 7.810
Distance between two points:The distance between two points is the shortest length between two points.
Given P₁ = (-4, -3) and P₂ = (2, 2) are the two points
Formula: Distance between two points (x₁, y₁) and (x₂, y₂)is [tex]\sqrt({x_{2}-x_{1})^{2} )+({y_{2}-y_{1})^{2} }[/tex]
Here, (x₁, y₁) = (-4, -3) and (x₂, y₂) = (2, 2)
The distance between P₁ and P₂ is[tex]\sqrt({2}-(-4_}))^{2} )+({2}-(-3)})^{2}[/tex]
=[tex]\sqrt({(2+4)^{2} } +(2+3)}^{2})}[/tex]
= [tex]\sqrt({6^{2} } +5^{2})[/tex]
= [tex]\sqrt({36}+25)[/tex]
= [tex]\sqrt{61}[/tex]
= 7.810
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#6) Beth saved a total of $30 per month for her first car. Beth saved
money for 20 months and opened her account with $100. What is the
domain and range of the situation representing the amount of money
Beth saved in respect to time she saved? Write your answer in
interval notation.
D:
R:
Answer:
1) The domain In interval notation is [0, 20]
2) The range in interval notation is [100, 700]
Step-by-step explanation:
The given parameters are;
The amount Beth saved per month = $30
The number of months Beth saved = 20 months
The amount with which Beth opened her account = $100
Therefore, the amount of money Beth saved with respect to time is given as follows;
Y = $100 + $30 × X
Where;
Y = The amount of money Beth saved
X = The time (number of months) Beth saved
The domain is given as follows;
[tex]\{X | \ 0 \leq X \leq 20 \}[/tex]
The domain in interval notation is [0, 20]
For the range, when X = 0, Y = $100
When X = 20, Y = $100 + $30 × 20 = $700
Therefore, the range is given as follows;
[tex]\{Y | \ 100 \leq Y \leq 700 \}[/tex]
Which the range in interval notation is [100, 700].
How many reflectional symmetries does a regular decagon have? 5 10 15 20
For any n sided regular polygon, there are n lines of symmetry. A regular decagon has n = 10 sides, so there are 10 lines of symmetry.
Answer:
10
Step-by-step explanation:
S=2d/t solve for d pls help he answer this
Answer:
d= St/2
Step-by-step explanation:
by simplification the RHS and LHS
I just started 8th grade and I don’t understand.
Step-by-step explanation: Think of a translation as just sliding a figure.
So here, we will move each of the points 1 unit to the left.
Take a look below.
On the new figure translate I used the ' next to the letters.
That means "prime" which shows that we changed its location.
Make sure to use that on the new translation!