Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.
Using the volume of the cone
[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
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one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.
Answer:
3 miles/hour.
Step-by-step explanation:
If the question is what is Bryce's average speed over the lap it is:
Distance / time
1/3 / 1/9
= 1/3 * 9
= 9/3
= 3 miles/hour.
Find the surface area of the composite figure.
Answer:
402.9092
Step-by-step explanation:
surface area of cylinder - top base = 301.5946
surface area of cone - base = 101.3146
add together 402.9092
What is 3-eighths times 4 and 3-sixths times 4?
You will be marked Brainliest if you answer this question correctly!
Please help ASAP
Answer:
As a fraction it would be 4.5
Step-by-step explanation:
3/4 × 6 = 92 = 4 12 = 4.5
approximately, how much air would be needed to fill a soccer ball with a radius of 15 centimeters ?
Answer:
about 2827cm^3
Step-by-step explanation:
you are looking for the area
4*pi*r^2
4*pi*15^15
pi*4*225
pi*900
2827.43
Evaluate the indefinite integral.
Answer:
[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]
Step-by-step explanation:
All this takes is the use of the power rule, which, for integrals, says that
∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].
With this in mind, we can integrate:
∫[tex]x^2 - 2x + 4[/tex]
= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].
We can also check our answer by differentiating our answer:
[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]
so we are correct!
hope this helped!
Which solution set is graft on the number line
Answer:
x < 1
Step-by-step explanation:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
x < 1
Step-by-step explanation:
Open circle: < or >
Closed circle: ≤ or ≥
Shading to the left: < or ≤
Shading to the right: > or ≥
Therefore, as there is an open circle and shading to the left:
x < 1
(x is smaller than 1)
Solve using substitution
Answer:
The answer should be "No Solution" as these lines never meet each other
Julia is making a flag for a project. The design of one of the flags, composed of three triangles, is shown in the figure.
40 cm
9 cm
41 cm
18 cm
41 cm
9 cm
40 cm
What is the perimeter of the flag Julia made?
ОА.
180 centimeters
OB.
116 centimeters
O c.
280 centimeters
OD.
198 centimeters
The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer
The second quartile is the median of the data sets and have a value of 100.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.
The second quartile is the median of the data sets and have a value of 100.
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Find the value of x
Area of triangle =5
(Type an integer or decimal rounded to the nearest hundredth as needed. Use a comma to desperate answers if needed.
Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]
[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]
[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Which side is adjacent to Angle Q?
48
14
50
Answer: 48
Step-by-step explanation: 50 is the hypotenuse
14 is the opposite side - its opposite of angle Q
PLEASE HELP!!! i can’t find the answer
Answer:
the correct answer is 2nd hope this will help u i have find the value of x also hope it will help
Step-by-step explanation:
[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total outcomes = 36
The probability that the sum is 12:
P(A) = 1/36
The probability that the sum is less than 5:
P(B) = 6/36
The probability:
P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36
Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
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ANSWER ASAP PLS
Which of the following equations have exactly one solution?
Choose all answers that apply:
2x 31 = 2x - 31
2x 31=-2x-31
2x+31= 2x - 31
2x-2=2x-31
The equation that has exactly one solution will be 2x + 31 = - 2x - 31. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given.
Check whether the equation is linear or not.
1. 2x + 31 = 2x - 31, this is not a linear equation.
2. 2x + 31 = - 2x - 31, this is a linear equation.
Then the solution of the linear equation will be
4x = - 62
x = - 15.5
3. 2x + 31 = 2x - 31, this is not a linear equation.
4. 2x - 2 = 2x - 31, this is not a linear equation.
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PLEASE HELP ME FIND THE INEQUALITY SIGN OF THESE PROBLEMS
Answer:
2.5 > 2 2/5
Step-by-step explanation:
2 2/5 = 2.4
2.4 is less than 2.5
Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.
Answer:
[tex]4300 + 100x[/tex]
Step-by-step explanation:
The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.
The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.
Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.
That is the answer
- Kan Academy Advance
Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5, negative 2), (5, negative 4), (2, negative 4). The figure is rotated 360° counterclockwise using the origin as the center of rotation. What is the location of the image of point K? (2, –2) (2, 2) (–2, 2) (–2, –2)
Answer: The correct option is (A) (2, -2).
Step-by-step explanation: Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.
We are to find the location of the image of point K after the rotation.
We know that
a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.
From the figure, we see that the co-ordinates of point K are (2, -2).
Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,
the co-ordinates of the image of point K will also be (2, -2).
Thus, the location of the image of point K is (2, -2).
Option (A) is CORRECT.
Answer:
A
Step-by-step explanation:
Pls help with this thx
A line passes through the points (2, 1) and (4, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Explanation:
Let's find the slope of the line through those two points.
[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
Then we can apply point-slope form to transform it into slope-intercept form.
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]
Answer:
let point A be (2,1) and
B be (4,9)
Now,Slope =y2-y1-----------------
x2-x1= 9-1---------
4-2=8-----
2=4two less than 8 times a number is the same as the number plus 12
Answer:
The number is 2.
Step-by-step explanation:
You can write this as an algebriac equation, where the "number" is x:
8x - 2 = x + 12
Then, solve for x:
8x = x + 14
7x = 14
x = 2
Give the following number
in Base 10.
E16 = [?]10
Enter the number that belongs in the green box.
Answer:
14
Step-by-step explanation:
A hexadecimal (base 16) number can have any of 16 digits. Conventionally, digits 0–9 are used, along with letters A–F. The letters are assigned the values ...
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
Draw a line of best fit on the graph below. Explain how you knew where to draw the line of best fit.
Where does your line of best fit cross the y-axis?
Answer:
The line should be a negative sloping line that looks something like this:
The scatterplot illustrates the relationship between high school and college GPAs for a sample of students.
A graph titled Relationship between high school and college G P A s has H S G P A on the x-axis and college G P A on the y-axis. Points are at (2, 4), (2.25, 2.9), (2.5, 2.8), (2.5, 2.8), (2.5, 3), (3, 3), (3.25, 3), (3.25, 3.1), (3.25, 3.2), (3.5, 2.9), (3.5, 3), (3.5, 3.1), (4, 3), (4, 3.1), (4, 3.5).
Which of the following is an accurate description of the scatterplot?
Students with higher high school GPAs have higher college GPAs.
Students with lower high school GPAs repeat their performance and get low college GPAs.
Because college is a fresh start, there is no relationship between high school and college GPAs.
Lower high school GPAs correlate to lower college GPAs, with one exception of a low high school GPA and high college GPA.
Answer: D
Step-by-step explanation:
The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.
What is GPA?Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.
Given:
The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.
The scatter plot is given in the attached image.
Highest college GPAs are 4, 3.5, 2 and so on.
And their respective high school GPAs are 2, 4, 3.25 and so on.
That means, students with higher high school GPAs have lower college GPAs.
Let students with lower high school GPAs repeat their performance and get low college GPAs.
But here a student has GPA 2 in high school and 4 GPA in college.
That gives us contradiction.
There is one exception, with college GPA as 4 and HS GPA as 2.
All other points show that a lower college GPA could result in lower HS GPA.
Therefore, the correct answer is option D.
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Choose the equation for the relationship shown in the graph.
A) y = x + 50
B) y = x – 50
C) y = 50 - x
D) x = 50 - y
Answer:
B) y = x - 50
Step-by-step explanation:
It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x - 50. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.
Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation
The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have data shown in the picture.
As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.
For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.
Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
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How to evaluate this question
Answer:
[tex] {2x}^{3} - 3yz[/tex]
x=-1; y=-2 and z=3[tex]2 {( - 1)}^{3} - 3( - 2)(3)[/tex]
[tex] - 2 +6(3)[/tex]
[tex] - 2 +18[/tex]
(-)+(+)=(-)
[tex]-16[/tex]
Which set of ordered pairs represents the points on this graph?
A. {(-2, -3), (-1, 5), (1, 3), (2, 5), (3, -2)}
B. {(-3, -2), (-1, 4), (1, 3), (2, 5), (3, -2)}
C. {(-2, -3), (-1, 4), (3, 1), (2, 5), (-2, 3)}
D. {(-2, -3), (-1, 4), (1, 3), (2, 5), (3, -2)}
Answer:
option D
Explanation:
To know the x coordinates see the value on the x-axis.To know the y coordinates see the value on the y-axis.Identify coordinates from the graph:
a) (3, -2)
b) (-2, -3)
c) (1, 3)
d) (2, 5)
e) (-1, 4)
All of these coordinates fall under option D
Answer:
D
Step-by-step explanation:
Let's find the coordinates of the plotted points (from left to right) :
Point 1 (x = -2, y = -3) ⇒ (-2, -3)Point 2 (x = -1, y = 4) ⇒ (-1, 4)Point 3 (x = 1, y = 3) ⇒ (1, 3)Point 4 (x = 2, y = 5) ⇒ (2, 5)Point 5 (x = 3, y = -2) ⇒ (3, -2)The listed points are given in option D
PLEASE HELP!!
(look at picture!)
Answer:
a. 35, 34
b. 25, 18
Step-by-step explanation:
Could the cost of one large plant be $5.50 and the cost of one medium plant be $2.25 ? Justify your answer
Answer:
yes.The medium plant cannot be the same price of a large price cause of the size difference
Hence the medium plant being nearly half the price of the large plant
slope of 4/5, a width of 30…what is the height..?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
Slope of the graph can be expressed as :
[tex]\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]
[tex]\qquad \sf \dashrightarrow \: x = {4}{} \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 24 \: units[/tex]
So, the value of x is 24 units