Answer:
Step-by-step explanation:
180/3=60
so 60 miles
Answer:
60 miles
Step-by-step explanation:
Since their speed is constant, you just do 180 miles divided by 3 hours to get 60 miles per hour.
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately
σ
=
62.5
dollars. You would like to be 95% confident that your estimate is within 3 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
Answer:
The number of parents spend their kids birthday parties
'n' = 1667
Step-by-step explanation:
Explanation:-
Given standard deviation of the Population = 62.5
Given the estimate error = 3 dollars
Level of significance =0.05
Z₀.₀₅ = 1.96
The margin of error defined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} } \\3 = \frac{1.96 X 62.5}{\sqrt{n} }[/tex]
cross multiplication , we get
3√n = 1.96 X 62.5
√n = 40.833
Squaring on both sides, we get
n = 1667.34
The number of samples are 'n' = 1667
Find the unit vector of -2i - j.
Answer:
maybe a
Step-by-step explanation:
Why did our Founding Fathers make the Articles of Confederation so weak?
A.They were afraid of having another monarchy/king
B.They wanted a strong executive branch of government
C.They wanted a strong court system
D.They want states to have no power
Answer:
A. They were afraid of having another monarchy/king.
Step-by-step explanation:
This is because they were already under a rule of a cruel king from Britain and the whole reason they were creating this document was because they rebelled from monarchy and wanted to create a better government.
PLSSSS HELP ME I HAVE TRIED SOLVING THIS SOOO MANY TIMES
MY ANSWER:
-32 (Wrong)
Find the value of the polynomial: 7x^2y−2xy^2−6x^2y+3xy^2−xy+8 for x=−2, y=4
Step-by-step explanation:
7x^(2y) - 2xy² - 6x^(2y) + 3xy² - xy + 8
= x^(2y) + xy² - xy + 8.
When x = -2 and y = 4, we have:
(-2)^(8) + (-2)(4²) - (-2)(4) + 8
= 256 - 32 + 8 + 8
= 240.
There is ambiguity between x^(2y) and x²y written in your question.
Answer:
The answer is 0.
Step-by-step explanation:
x = -2 , y = 4
7(-2)²(4) - 2(-2)(4)² - 6(-2)²(4) + 3(-2)(4)² - (-2)(4) + 8
112 + 64 - 96 - 96 + 8 + 8
176 - 192 + 16 = 0
Please help ASAP !!!!!
Answer:
(goh) (0) = 4
Step-by-step explanation:
Given that,
g(x) = 2x
h(x) = x² + 4
We need to find the value of (goh) (0).
Firstly we find (goh),
(goh) = g(h(x))
=g(x²+4)
(goh) (0) = 0²+4
=4
Hence, the required answer is 4.
Fido's leash is tied to a stake at the center of his yard, which is in the shape of a regular hexagon. His leash is exactly long enough to reach the midpoint of each side of his yard. If the fraction of the area of Fido's yard that he is able to reach while on his leash is expressed in simplest radical form as [(sqrt{a})/b] * pi, what is the value of the product ab?
Answer:
a = 3
b = 6
The product ab = 3 x 6 = 18
Step-by-step explanation:
Data Given:
Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]
Let X be the side of the hexagon.
So, the area of the Hexagon is:
Area of the Hexagon = [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]
Now, we have to calculate the length of Fido's Leash by using Lw of Sine
Law of Sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
[tex]\frac{0.5S}{sin30}[/tex] = [tex]\frac{Length}{sin60}[/tex]
Solving for Length, where sin30 = 1/2 and sin60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Suppose Length = Y
Y = [tex]\frac{\sqrt{3} }{2}[/tex]X
Now, as we have got the length we can calculate the area that Fido can cover,
So, the area covered by Fido = [tex]\pi[/tex] x [tex]Y^{2}[/tex]
Area = [tex]\pi[/tex] x [tex](\frac{\sqrt{3} }{2}X) ^{2}[/tex]
Area = [tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex]
So, now, we can get the fraction of the area of Fido's Yard by dividing the area of hexagon by area that fido can cover.
Fraction of the area of Fido's yard = [tex]\pi x \frac{\sqrt{a} }{b}[/tex]
[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] x [tex]X^{2}[/tex] / [tex]\frac{3\sqrt{3} }{2} X^{2}[/tex]
[tex]\pi[/tex] x [tex]\frac{3}{4}[/tex] / [tex]\frac{3\sqrt{3} }{2}[/tex]
6 [tex]\pi[/tex] / [tex]12\sqrt{3}[/tex]
[tex]\pi[/tex] / [tex]2\sqrt{3}[/tex]
Which can be rewritten as by multiplying and dividing by [tex]\sqrt{3}[/tex]
[tex]\sqrt{3} \pi[/tex]/ 6
By comparing the above equation and the given equation we can find a and b :
So,
a = 3
b = 6
And the product ab = 3 x 6 = 18
Use the following rules to graph and label the ordered pairs on a coordinate grid with at least 4 points on the coordinate
plane:
Maddy and Ted worked together to graph points on a coordinate plane.
1. Maddy wrote a pattern for all the x coordinates starting at 3 and followed the rule "add 2.".
2. Ted wrote a pattern for all the y coordinates starting at O and followed the rule "add 4."
Answer:
3
Step-by-step explanation:
petra claims that he can use the associative property of multiplaction to rewrite(9.5 x 9) + 1 as 9.5 x 10. is petra correct explain
Answer:
No Petra is wrong
Step-by-step explanation:
The associative property of multiplication goes thus :
(x * y) * z = x * (y * z)
The equation give in the question :
(9.5 x 9) + 1 = 9.5 * 10
The associative property cannot be used to rewrite the equation as claimed above.
Because, the equation includes both multiplication and addition functions. Hence, it has to be solved separately following tbe rule of BODMAS., THE sign preceeding 9 in the equation is multiplication and as such not mathematically correct to add such number to +1
To ascertain :
(9.5 x 9) + 1 = 86.5
9.5 * 10) = 95
Hence,
(9.5 x 9) + 1 ≠ 9.5 * 10
Simplify the expression:
2 + 8c + 3c+ 3c
Answer:
Solutions,Here:
2+ 8c + 3c + 3c
2+ 14c
14c + 2
Therefore, Answer is 14c + 2
I think that is the answer...
The table and graph both represent the same relationship. Which
equation also represents that relationship?
Х
у
-2
4
3
-1
1
2
0
0
1
NA
4
х
-2
-1
o
1
2
y = x
y = x2
y = -2x + 8
y = 2x2 + 2
Answer:
We conclude that all the points of the table satisfy the equation y = x²
Hence, the option containing the equation y = x² is true.
The graph of y = x² is also attached below.
Step-by-step explanation:
Given the table
x y
-2 4
-1 1
0 0
1 1
2 4
Let us substitute the x-values of the table in the equation
y = x²
plun in x = -2
y = (-2)² = 4
so the point (2, 4) lies on the graph of y = x²
y = x²
plun in x = -1
y = (-1)² = 1
so the point (-1, 1) lies on the graph of y = x²
y = x²
plun in x = 0
y = (0)² = 0
so the point (0, 0) lies on the graph of y = x²
y = x²
plun in x = 1
y = (1)² = 1
so the point (1, 1) lies on the graph of y = x²
y = x²
plun in x = 2
y = (2)² = 4
so the point (2, 4) lies on the graph of y = x²
Therefore, we conclude from the above calculations that all the points of the table satisfy the equation y = x²
Hence, the option containing the equation y = x² is true.
The graph of y = x² is also attached below.
What fraction divided by 3/6 is equal to -9/10?
Answer:
9/18
3/6 is the same as 9/18.
Step-by-step explanation:
Choose the rule to describe the transformation:
T(2, 3), U(5, 4), V(2, 0)
to
T '(-1, 2), U '(2, 3), V '(-1, -1)
a. dilation of .25 about the origin
b. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y)
c. reflection across the y-axis
d. translation: (x, y)LaTeX: \longrightarrow⟶(x - 3, y - 1)
The initial points: T(2 , 3) U(5, 4) V(2, 0)
The transformed points: T'(-1, 2) U'(2,3) V'(-1, -1)
Identifying the Transformation rule:Since all these points will follow the same rule, we will take a pair of initial and transformed points and compare them
T(2, 3) → T'(-1, 2)
We can see that these points are not reflected across the y-axis
Checking if they have a dilation of 0.25 about the origin:
Dilation of 0.25 about the origin basically means if the Initial x and y coordinates are multiplied by 0.25 to form the transformed points
So, if the points have a dilation of 0.25:
x (initial) * 0.25 = x(final)
2*0.25 = -1
0.5 ≠ -1
Hence, there is no dilution of 0.25
Checking if the given points are translated:
To check this, we will take 2 pairs of initial and transformed points
T(2,3) → T'(-1,2)
U(5,4) → U'(2,3)
To check if there is transformation, we need to check if the difference between the x and y coordinates of initial and transformed points is equal
Change in coordinates of T:
x-coordinates:
x(final) - x(initial) = x(change)
x(change) = -1 - (2)
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 2 - (3)
y(change) = -1
Change in coordinates of U:
x-coordinates:
x(change) = x(final) - x(initial)
x(change) = 2 - 5
x(change) = -3
y-coordinates:
y(change) = y(final) - y(initial)
y(change) = 3 - 4
y(change) = -1
Since there is the same change in x and y coordinates of the initial and transformed points, we know that Translation took place
Since the change in x is -3 and the change in y is -1, the translation will look like:
(x-3 , y-1)
Which is also option d.
Hence, option d is the correct answer
What is the slope of the following line: y=3x−7
Answer:
The slope is 3
Step-by-step explanation:
4x+3y=32
4x+y=16
work out x and y pleaseeeeeee
Answer:
The answer is xy=16-4 and xy=12
Identify the pair of angles shown in the picture
Answer:
Adjacent
Step-by-step explanation:
Angles WYX and XYZ are next to eachother.
Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?
Answer:
0 miles
Step-by-step explanation:
Just subtract 11/4 from 2 3/4
2 3/4 - 11/4 = 0
So, he doesn't need to run any more
6x+12 factorizar mediante a factor comun
The circumference of a circle is
9m
What is the area of the circle?
Answer:
Cai on kgpkvugcg7 vgu ygvhy6vgvh7
f(x) = x2 What is g(x)=f(3x)
A cylindrical water tank near the town library is 20 meters high and has a circumference of 39 meters. What is the approximate volume, to the nearest whole number, of the water tank? Use 3.14 as an approximation for π and round to the nearest whole number.
Step-by-step explanation:
height of the cylindrical tank = 20m
circumference of the tank = 39m
volumn of tank =
perimetre formula = 2πrh
= 2 x 3.14 x r x 20 = 39
= 188.4r = 39
r = 188.4/39
r = 4.83
volumn = πr^/2
h
= 3.14 x 4.83^2 x 2 x 20
= 1465.05
volumn of tank = 1465.05
Write the equation of the line.
Dexter runs around a track at 10 laps in 20 minutes. How many minutes per lap is that?
Answer:
10 minutes
Step-by-step explanation:
Answer: that would be 83 seconds a lap i believe
Ps: this dexter kid is really fast
Step-by-step explanation:
I hope this helps if not sorry :(
Can someone help with these two PLZ.
Answer:
5. 76
6. 24
Step-by-step explanation:
5.
x + x = 152
2x = 152
x = 76
6.
2x + 3x = 120
5x = 120
x = 24
Do you see the figures inside these boxes? They form a pattern. Choose the figure in the answer row below that continues the pattern.
Answer:
1
Step-by-step explanation:
The blocks are rotating counterclockwise.
My soda was $3.10 but I left a 10% tip. What did I end up paying for?
Answer:
You left them a 0.31 cent tip and you payed all together $3.41
Step-by-step explanation:
the perimeter of square ground is 122
i) find its length
ii)find its area
iii)find the Cost of growing grasses I n don't the ground at rs 40 per sq.m.
Answer:
i. 30.5m
ii. 930.25m²
iii. Rs. 37,218
Step-by-step explanation:
Perimeter of a square = 4 * Length
i. Length = Perimeter/4
= 122/4
= 30.5 m
ii. Area = Length * Height
= 30.5 * 30.5
= 930.25 m²
iii. Cost of growing grasses at Rs. 40 per m²
= 930.25 * 40
= Rs. 37,218
This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 ml of lemon juice and 200 g of sugar.
Cali makes 18 portions of mousse by following this recipe.
How much of each ingredient will she have left?
Recipe: Serves 6
180 g chocolate
9 eggs
15 ml lemon juice
60 g sugar
Answer:
Chocolate - 420g
Eggs - 27
Lemon juice - 85ml
Sugar - 140g
Step-by-step explanation:
Given that:
Initial amount of ingredients:
Chocolate - 600g
Eggs - 36
Lemon juice - 100ml
Sugar - 200g
Amount of ingredients used :
Chocolate - 180g
Eggs - 9
Lemon juice - 15ml
Sugar - 60g
Amount of ingredient left :
Initial amount - Amount used :
Chocolate : 600g - 180g = 420g
Eggs : 36 - 9 = 27
Lemon juice : 100ml - 15ml = 85ml
Sugar : 200g - 60g = 140g
PLEASE HELP THANK YOU :)
Answer:
the first option
PLZ HELP ILL GOVE YOU BRAINLIEST
Damian is deciding between two different movie streaming sites to subscribe to. Plan
A costs $33 per month plus $3 per movie watched. Plan B costs $37 per month plus
$2 per movie watched. Let A represent the monthly cost of Plan A if Damian watches
x per month, and let B represent the monthly cost of Plan B if Damian watches x
movies per month. Write an equation for each situation, in terms of x, and determine
the number of monthly movies watched, x, that would make the two plans have an
equal monthly cost.
Using linear functions, it is found that:
The equation for Plan A is: [tex]C_a(x) = 33 + 3x[/tex]The equation for Plan B is: [tex]C_b(x) = 37 + 2x[/tex]The monthly plans would have an equal cost when 4 movies are watched.A linear function for a cost depending on the number of movies x is given by:
[tex]C(x) = C(0) + ax[/tex]
In which:
C(0) is the fixed cost.a is the cost per movie.For Plan A, $33 per month plus $3 per movie watched, hence [tex]C(0) = 33, a = 3[/tex], and the equation is:
[tex]C_a(x) = 33 + 3x[/tex]
For Plan B, $37 per month plus $2 per movie watched, hence [tex]C(0) = 37, a = 2[/tex], and the equation is:
[tex]C_b(x) = 37 + 2x[/tex]
The monthly cost is equal when:
[tex]C_a(x) = C_b(x)[/tex]
[tex]33 + 3x = 37 + 2x[/tex]
[tex]x = 4[/tex]
The monthly plans would have an equal cost when 4 movies are watched.
A similar problem is given at https://brainly.com/question/16302622
The measures of the angles of a triangle are shown in the figure below. Solve for x. (3x+12) 54°
Answer:
14
Step-by-step explanation: