Answer:
Milk Glass A can hold more milk.
Step-by-step explanation:
This problem mostly relies on the diameter of the milk glass.
To solve the problem, we'll find the volume of each glass as though it were a cylinder.
First, we start with the area of the base of each cylinder.
Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.
Note that r represents radius, which is half of the diameter, d.
The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.
The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.
Now that we have the area of each base, we just multiple the area by the height to get the full volume.
The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.
The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.
Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.
An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet
write the standard equation.
Answer:
x^2/6400 + y^2/900
Step-by-step explanation:
Just did the question on odyssey
The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900
What is the equation of the ellipse?The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1[/tex]....... (1)
Where x is Horizontal distance, in feet.
y is Vertical distance, in feet.
a is Horizontal semiaxis length (half-width), in feet.
b is Vertical semiaxis length (height), in feet.
We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.
a = 80
b = 30
Then the equation becomes as;
x^2/6400 + y^2/900
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Based on an LG smartphone survey, assume that 51% of adults with smartphones use
them in theaters. In a separate survey of 250 adults with smartphones, it is found that
109 use them in theaters.
Using the z-distribution, it is found that the sample is enough evidence that the proportion is below 51%.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion is of 51%, that is:
[tex]H_0: p = 0.51[/tex]
At the alternative hypotheses, it is tested if the proportion is less than 51%, hence:
[tex]H_1: p < 0.51[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, the parameters are given as follows:
[tex]p = 0.51, n = 250, \overline{p} = \frac{109}{250} = 0.436[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.436 - 0.51}{\sqrt{\frac{0.51(0.49)}{250}}}[/tex]
z = -2.34.
What is the decision?Considering a left-tailed test, as we are testing if the proportion is less than a value, with a standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left tailed test, we reject the null hypothesis, and find that the sample is enough evidence that the proportion is below 51%.
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For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340
The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The complete question is:
" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "
Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.
Consider the diagram attached below:
The distance D is the distance of horizon from the eyesight of viewer.
The value of h is the height of the observer.
For the triangle ABC, the length of the hypotenuse is: h + R
Other two sides which are mutually perpendicular are of length R and D.
Thus, by using Pythagoras theorem, we get:
[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]
(positive root as D is representing length, a non-negative quantity).
We're given h = 2, so we get:
[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]
A) Earth (R=6378 km);6378 km = 6378000 m
[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]
B) Mars ( 3,374 km);3374 km = 3374000 m
[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]
C) The Moon ( 1,738 km);
1738 km = 1738000 m
[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]
D)Mars' moon Diemos ( 6 km)
6 km = 6000 m
[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]
Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
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Please help with this question.
Answer:
I think A is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
A. Perpendicular Bisector Theorem :)
If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!
Pls help will give brainlist
What symbol goes between the fractions in the comparison?
3
6
?
1
4
=
<
>
Answer:
>
Step-by-step explanation:
3/6 and 1/4
3/6 = 1/2
1/2 = 2/4
2/4 > 1/4
Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?
Answer:
33.3%
Step-by-step explanation:
$2 on nachos and $2 on candy will get you $4 spent on them both.
You then have a fraction (4/12)which is 1/3.
1/3=33.3%
Several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 2, 0, 7, 8, 5, 8, 4, 0, 3, 6. How many students were asked? How do you know? Complete the explanation.
The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10
What are sample size?The sample size is defined as the total number of respondents present in a sample.
If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6
The total number of students that asked questions can be determined by counting the total answers.
From the data given, the total number of students that were asked is 10
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What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)
Answer:
f(x) = -(x + 8)(x -14)
= -(x2 - 112 - 6x)
= -x2 + 6x + 112 --- (1)
We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.
The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation
a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is
x = -b/2a
= -(6)/[2(-1)]
= 3
Substituting the value of x = 3 in equation (1) we get,
Now y = -(3)2 + 6(3) + 112
= -9 + 18 + 112 = 121
So the vertex point coordinates are (3, 121) and the y value is 121.
The graph below verifies the vertex point.
vertex of the graph
What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?
Summary:
The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.
(-41) + (-40) = ?
I don't understand this question ⁉️ I tried to solve it but I don't know how to check my own work.
Answer:
[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]
Step-by-step explanation:
I hope I helped you! :)
A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.
Answer:
9
Step-by-step explanation:
let's assume ;
12=a
15=c
?=b
so;
a2+b2=c2
(12)2+b2=(15)2
144+b2=225
b2=225-144
b2=81 (square root both sides)
You'll get
b=9
NB; 2 is used as squared
Answer:
ITS 9
Step-by-step explanation:
Trust me i just finished the quiz (credit to dude on top)
8 cm 11 cm 14 cm volume
Answer:
410.7 cm^3
Step-by-step explanation:
volume = (l*w*h)/3
volume = (14*8*11)/3
volume = 410.667
Your Grandmas vanilla ice cream recipe uses 3 cups of heavy cream and 1 cup of milk.
Answer:
nice
Step-by-step explanation:
very cool - crispin
Which of the following is most likely the next step in the series?
:
⠀⠀⠀
OA.
OB.
O C.
OD.
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
Option C is the correct answer.
What is a series of patterns?A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.
Patterns can be found in many different fields, such as mathematics, science, art, and literature.
We have,
From the series of patterns,
We see that,
In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.
In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.
This means,
In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.
Thus,
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
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look how he has proved that
infinity is equal to 0
how please help me please please please please
Answer:
false
Step-by-step explanation:
as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,
infinity - infinity is not 0.
0÷0 is undefined. so you cant just equate it to ( 2 × infinity)
to sum up this proof is entirely false.
if you still have any doubts make sure to ask.
Answer:
Refer to the attachment .
_______
Hope it helps ⚜
Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs
The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
How to determine the weights?The given parameters are:
Mean, μ = 9.5Standard deviation, σ = 0.5The weights within 2 standard deviation is represented as:
μ - 2σ ≤ x ≤ μ + 2σ
Substitute known values
9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)
Evaluate the product
9.5 - 1 ≤ x ≤ 9.5 + 1
Evaluate the sum
8.5 ≤ x ≤ 10.5
This means that the weights are between 8.5 and 10.5 (inclusive)
Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs
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Answer:
B C D
Step-by-step explanation:
I got it right on the quiz. :)
percent.
7) A new social media site is increasing its
user base by a constant percentage per
month. If the user base grows from
29,130 users to 52,167 users over 10
months, at what monthly rate is the user base increasing?
Answer:
5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000
Step-by-step explanation:
Subtract.
3x−5x−4−x2+12x−17x2−16
Step-by-step explanation:
3x - 5x - 4 - x^2 + 12x - 17x^2 - 16
= -2x - 20 - 18x^2 + 12x
= 10x - 20 - 18x^2
Hope it helpz~ uh..
When a business makes Money than it spends it makes a profit
Answer:
Profit means your business is making more money than it spends to stay in business so yes.
valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ribbon before valerie cut it
Please help!! Will mark brainlyest.
Answer:
C. the X coordinates will increase by 2.Step-by-step explanation:
Here are the examples:
If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.In this case, a X coordinate will increase by 2.
Correct choice is C.
Asher has 3 times as many book as Camilla. How many books does Camilla have if Asher has x books?
Answer: X/3
Step-by-step explanation:
Asher = 3 Camilla
If Asher is X, then X is 3C and C= X/3
the "P" in 20p9 represents a:
A. Permutation
B. the number of items in the set
C. the number of objects selected from the set
Answer:
option (A) —Permutation.
Step-by-step explanation:
this is because permutation comes in this form and looks like that and I have learnt permutation in the past.
so yeah;
examples of permutations:
²⁰p9 ( 20 upper case, 9 lower case and p in-between)
we can solve it by
Formula: n!/(n-r)!
soooo
20!/(20-9)!
= 20!/(11)!
=20x19x18x17x16x15x14x13x12x11!/11!
we cancel out the 11!s (for easier solving)
and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)
we get,
6.09493248 x 10¹⁰
~ 6 x 10¹⁰
there you go.( I know I did a little bit too much)
Hope this helps
Good luck.
Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)
If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes
Answer:
7.5 cups of sugar
Step-by-step explanation:
3 cups /12 cupcakes * 30 cupcakes = 7.5 cups
A circle has a diameter of a little more than 1/2 mile. If you walk at 2 mph how long will it take to walk around the circle
Answer:
6mph
Step-by-step explanation:
Pleeease help me. I need help with this one.
Answer:
Ravi and Courtney
Step-by-step explanation:
Simplifying the equations
Penny
2x - y = -1y = 2x + 1Ravi
2x + 3y = 33y = -2x + 3y = -2/3x + 3Courtney
-4x - 6y = -66y = -4x + 6y = -2/3x + 3Edwin
6x + 6y = 96y = -6x + 9y = -x + 9Ravi and Courtney would have infinitely many solutions because they are the same equation.
Answer:
Ravi and Courtney have the same equation so they will have infinetely many solutions.
Step-by-step explanation:
Step 1: Solve each equation for y
Penny → [tex]2x - y = 1[/tex]
→ [tex]-y + 2x - 2x = 1 - 2x[/tex]
→ [tex](-y) * -1 = (1 - 2x) * -1[/tex]
→ [tex]y = 2x - 1[/tex]
Ravi → [tex]2x + 3y = 3[/tex]
→ [tex]3y + 2x - 2x = 3 - 2x[/tex]
→ [tex](3y)/3 = (3 - 2x)/3[/tex]
→ [tex]y = -2/3x + 1[/tex]
Courtney → [tex]-4x - 6y = -6[/tex]
→ [tex]-6y - 4x + 4x = -6 + 4x[/tex]
→ [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]
→ [tex]y = -2/3x + 1[/tex]
Edwin → [tex]6x + 6y = 9[/tex]
→ [tex]6y + 6x - 6x = 9 - 6x[/tex]
→ [tex](6y)/6 = (9 - 6x)/6[/tex]
→ [tex]y = -x + 1.5[/tex]
Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.
What is the solution of the system? Solve using matrices. 25 points
x+2y=9
x+y=1
Answer:
x = -7 and y=8Step-by-step explanation:
solnusing by elimination method 1|x+2y=9 1| x+y=1 |x+2y=9 -|x+y=1 x-x+2y-y=9-1 0+y=8 y=8 1|x+2y=9 2|x+y=1 |x+2y=9 -|2x+2y=2x-2x+2y+2y=9-2-x=7divide -1 both side with the make value of xx=-7therefore x=-7 and y=8. this is my answerI need help!! Rectangle WXYZ will be transformed so that W' is located at (-3, -1) and Z' is located at (2, -1). Which algebraic representation shows the transformation that occurred?
Transforming the rectangle WXYZ involves changing the location of the rectangle
The algebraic representation of the transformation is (x, y) → (x, -y)
How to determine the algebraic representation?From the complete question, we have the coordinates of points W and Z to be:
W = (-3,1)
Z = (2,1)
And the new points are:
W = (-3,-1)
Z = (2,-1)
Notice that the x-coordinates remain the same, while the y-coordinates are negated.
This is represented as:
(x, y) → (x, -y)
Hence, the algebraic representation of the transformation is (x, y) → (x, -y)
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Please help, I need this quickly. It's an easy trigonometric question.
Answer:c x=13
Step-by-step explanation:
straight line =180
180-50=130
7x+3x=10x
130/10=13
So the answer is x=13
Which of the following equations is the translation 2 units up of the graph of y= 1x1
1.y=1x-21
2.y=1x+21
3.y=1x1-2
4.y=1x1+2
Answer:
4. y = |x| + 2
Step-by-step explanation:
"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.
We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.
g(x) = |x - h| are for horizontal translations.
g(x) = |x| + k are for vertical translations.
The third choice is wrong as well because k is negative, not positive.
hope this helps!
Answer:
4. y = |x| + 2
Step-by-step explanation: