Answer:
1715 metros
Step-by-step explanation:
Lo que debemos hacer es calcular la distancia del primer y del segundo eco.
Debemos conocer la velocidad del sonido que en términos generales es 343 m/s, por lo tanto, la distancia sería igual a:
v = d/t => d = v*t
d1 = 343*2 = 686 metros
d2 = 343*3 = 1029 metros
La separación sería la suma de ambas distancias así:
686 + 1029 = 1715
1715 metros sería la distancia de separación entre ambas montañas.
Hi, can I get some help with this question? DON'T WORRY ITS JUST A ASSIGNMENT. NOT A TEST. Thank you
Answer:
d.
Step-by-step explanation:
i looked at the graph!
Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1
Answer:
y=x_1 is the solution of system
Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would my speed in still water have been?
Answer:
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Step-by-step explanation:
Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:
[tex]c + v = \frac{d}{h}[/tex]
Where:
[tex]c[/tex] - Current speed, measured in miles per hour.
[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.
[tex]d[/tex] - Distance travelled downstream, measured in miles.
[tex]h[/tex] - Time spent on travelling, measured in hours.
Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:
[tex]v = \frac{d}{h} - c[/tex]
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m.
Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
Help, please!! I need the answer
Answer:
D
Step-by-step explanation:
Verify inverse functions
Answer:
Step-by-step explanation:
Hello
(fog)(x)=f(g(x))=10(x-6)/10+6=x-6+6=x
(gof)(x)=(10x-6+6)/10=10x/10=x
So YES the functions are inverse
hope this helps
Which is the correct formula to calculate the volume of a sphere?
a.
Four-thirds pi r squared
c.
One-third pi r cubed
b.
Four-thirds pi r cubed
d.
4 pi r cubed
Please select the best answer from the choices provided
A
B
C
D
Not a
Answer:
B
Step-by-step explanation:
Volume of Sphere = 4/3 x 3.14 (pi) x r^2
2. The average age of 25 students is 10years
and the average age of another class
30 Students is 15 years. Find the average age
of students of the two classes
Answer:
12.7 years to the nearest tenth.
Step-by-step explanation:
The total of the ages for the 25 students = 10*25 = 250.
For the 30 students it is 15*30 = 450.
The average for the 2 classes = (250 + 450) / (25 + 30)
= 700 / 55
= 12.7 years to the nearest tenth.
A rectangle has a length of 12 mm and a width of 15 mm. A new rectangle was created by multiplying all of the dimensions by a scale factor of 1 3 . A rectangle with length 12 millimeters and width 15 millimeters. A smaller rectangle with length 4 millimeters and width 5 millimeters. Which statement best describes the change in the perimeter of the new rectangle? The new perimeter will be One-half times the perimeter of the original rectangle. The new perimeter will be One-third times the perimeter of the original rectangle. The new perimeter will be 2 times the perimeter of the original rectangle. The new perimeter will be 3 times the perimeter of the original rectangle.
Answer:
4 mm by 5 mm1/3 the perimeter of the originalStep-by-step explanation:
When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...
(12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm
The result is ...
a smaller rectangle with length 4 millimeters and width 5 millimeters
__
The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.
The new perimeter will be 1/3 times the perimeter of the original rectangle.
The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
What is the perimeter of a rectangle?For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).
From the given information:
A rectangle's length = 12 mm, and width = 15 mm
Using a Scale factor of 1 : 3A new smaller rectangle's length = 4 mm, and width = 5 mmTherefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.
This is because by using the scale factor:
[tex]\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}[/tex]
We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.
Learn more about the perimeter of a rectangle here:
https://brainly.com/question/19819849
#SPJ2
Which is the area of the rectangle?
69
115
100
Answer:
A
Step-by-step explanation:
The following scatter plot demonstrates the relationship between to two variables x and y. The scatter plot shows what. correlation between the variables
Answer:
Positive correlation
Step-by-step explanation:
From the scatter plot shown in the graph above, we can observe that the data points that are clustered in a band run upwards from left of the graph to the right.
In simple terms, both variables move along the same direction, which means, as variable on one axis increases, the variable on the other axis increases as well.
This shows that the variables depicted on the scatter plot are positively correlated. It shows a positive correlation between the variables.
The relationship between the variables on the scatter plot it a positive correlation
From the graph, we have the following highlights
As the x-values increase, the y-values also increase The points appear to be on a straight lineWhen the x and the y values increase or decrease in the same direction, then the correlation of the graph is positive.
Hence, the relationship between the variables on the scatter plot it a positive correlation
Read more about correlation at:
brainly.com/question/7289927
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answer:
[tex]m=-\frac{1}{6} \approx -0.1667[/tex]
[tex]M=(1,\frac{17}{2} )=(1,8.5)[/tex]
[tex]d=\sqrt{37} \approx 6.083[/tex]
Step-by-step explanation:
(i) For two different points on a line, the slope m is defined as the difference on the y-axis divided by the difference on the x-axis:
[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]
Where:
[tex](x_1,y_1)=(-2,9)\\\\(x_2 , y_2)=(4,8)[/tex]
So:
[tex]m=\frac{8-9}{4-(-2)} =\frac{-1}{6} \approx -0.1667[/tex]
(ii)
To find the coordinates of the midpoint, you can use the following formula:
[tex]M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Therefore:
[tex]M=(\frac{-2+4}{2} , \frac{9+8}{2} )=(\frac{2}{2} , \frac{17}{2} ) =(1,8.5 )[/tex]
(iii) The distance between two points is given by the following formula:
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]
Hence:
[tex]d=\sqrt{(4-(-2))^{2}+(8-9)^{2} } =\sqrt{(6)^{2}+(-1)^{2} } =\sqrt{36+1} =\sqrt{37} \\\\d\approx 6.083[/tex]
10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups?⇒⇒
Answer:
5 people have pink cups
Step-by-step explanation:
10-5=5
:D
Answer:
5
Step-by-step explanation:
10-5=5
^--^
Starting from rest the motor boat travels around the circular path (radius of curvature= 40 m),at a speed (v= 0.8 t m/s),where (t) is in seconds. The magnitude of the boat's velocity when it has traveled 20 m is
Answer:
The magnitude of the boat's velocity is 5.66 m/s
Step-by-step explanation:
Given;
Radius of curvature of the circular path, r = 40 m
speed of the boat, v = 0.8 t m/s
The magnitude of the boat's velocity when it has traveled 20 m is ?
a = dv / dt,
v = 0.8 t (differentiate with respect to t)
dv / dt = 0.8 = a
thus, a = 0.8 m/s²
If the boat starts from rest, initial velocity, u = 0
Apply kinematic equation, to solve for the boat velocity at 20 m
v² = u² + 2as
v² = 0 + 2 x 0.8 x 20
v² = 0 + 32
v² = 32
v = √32
v = 5.66 m/s
Therefore, the magnitude of the boat's velocity when it has traveled 20 m is 5.66 m/s
If you can, please help answer this algebra question. Which terms are true about the given function?
Answer:
third option
Step-by-step explanation:
When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.
find a quadratic polynomial whose sum and and product is -7 and -2
Answer:
x²+7x-2 = 0Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
Lim x-> n/2 (2e^x cos x)
Answer:
A
Step-by-Step Explanation:
We want to find the limit:
[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}[/tex]
Use direct substitution.
Hence:
[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}\cos(\frac{\pi}{2}})[/tex]
Recall the unit circle. cos(π/2) is simply 0. Hence:
[tex]\displaystyle{\Rightarrow 2e^\frac{\pi}{2}(0)=0[/tex]
Therefore:
[tex]\displaystyle{\lim_{x\to\frac{\pi}{2}}(2e^x\cos(x))}=0[/tex]
So, our answer is A.
Which is the scale factor of the dilation?
Answer:
needs more information!
Step-by-step explanation:
need more information
Twice a certain number minus 7 is equal to 5. What is the number.
Answer:
6
Step-by-step explanation:
Let the number be x.
2x - 7 = 5
Add 7 to both sides.
2x = 5 + 7
2x = 12
Divide 2 into both sides.
x = 12/2
x = 6
The number is 6.
Answer:
6
Step-by-step explanation:
2x-7=5
2x=12
x=6
x=the varible that represents the number
A line contains the point (-4,6) and has a slope of -2/3 write the equation of the line using point-slope form
Answer:
(y-6)=-2/3(x+4)
Step-by-step explanation:
On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.
How many units away are each of the points from the y-axis?
2
3
4
5
Answer:
2 for both
Step-by-step explanation:
The distance between the points and the y-axis will be the value of the x coordinate, as x is the horizontal distance from 0 and the y-axis.
Answer:
Answer 4
Step-by-step explanation:
An automobile jack raises the car 1/2 of an inch for each stroke of the lever. How
many strokes of the lever are needed to lift the car 5 inches?
(do not include the units)
1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.
2 strokes per inch x 5 inches = 10 total strokes.
The answer is 10
45/30 in its simplest form
Answer:
3/2
Step-by-step explanation:
45/30 can be simplified.
The highest common factor of 45 and 30 is 15.
45÷15/30÷15
Divide.
3/2
In the diagram, m = 128° and m = 76°. What is m∠ABC? A. 104° B. 116° C. 128° D. 102° E. 96°
Answer:
B. 116
Step-by-step explanation:
Answer:
D) 102
Step-by-step explanation:
Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degrees
You answer is D) 102
HELP I'M BEING TIMED A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? A) The test contains 4 three-point questions and 20 five-point questions. B) The test contains 10 three-point questions and 14 five-point questions. C) The test contains 14 three-point questions and 10 five-point questions. D) The test contains 20 three-point questions and 8 five-point questions.
Answer:
b)
Step-by-step explanation:
the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
What is the decimal multiplier to decrease by 4.8%?
Answer:
0.952
Step-by-step explanation:
You want to know the multiplier that causes a value to be decreased by 4.8%.
Percentage decreaseA value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:
value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"
= value × (1 -4.8%) . . . . . . . . . factor out "value"
= value × (1 -0.048) . . . . . . . . . express the percentage as a decimal
= value × 0.952
The decimal multiplier that decreases a value by 4.8% is 0.952.
Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000
Answer:
x = 10000
Step-by-step explanation:
log x = 4
Raise each side to the base of 10
10^log x = 10 ^4
x = 10 ^4
x = 10000
Answer:
x = 10,000
Step-by-step explanation:
I got it right on the test.
please help me with this
Answer:
The answers are below
Step-by-step explanation:
a)67.592
b)21.748
c)241.402
What is the mean of this set: {2, 6, 7, 9, 9, 9)?
6
7
Ο Ο Ο Ο
8
9
Answer:
6.8 nearly 7
Step-by-step explanation:
beacuse mean is sum of all terms in a data/number of terms in the data
Answer: 7
Step-by-step explanation:
To find the mean of a set, you take the sum of the set and divide it by the number of numbers in the set.
[tex]\frac{2+6+7+9+9+9}{6} =\frac{42}{6} =7[/tex]