Using the concept of exponential decay, the predicted number of people is 233,176,000
What is the best prediction of the number of people driving gas powered cars?To predict the number of gas-powered cars on the road in 10 years, we'll apply the given annual decrease rate of 1.9% to the initial count of 286 million.
First, let's calculate the decrease rate per year:
Decrease rate = 1.9% = 1.9/100 = 0.019
Next, we'll calculate the predicted count after 10 years using the formula for exponential decay:
Predicted count = Initial count * (1 - Decrease rate)^Number of years
Substituting the values:
Predicted count = 286 million * (1 - 0.019)^10
Calculating the value:
Predicted count ≈ 286 million * (0.981)^10
Rounding the answer to the nearest whole number:
Predicted count ≈ 286 million * 0.816
Predicted count ≈ 233,176,000
Therefore, the best prediction for the number of people driving gas-powered cars in 10 years, based on the given information, is approximately 233,176,000.
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Prepare a contribution margin income statement.
Naomi's Quilt Shoppe sells homemade Amish quilts. Naomi buys the quilts from local
Amish artisans for $290 each, and her shop sells them for $490 each. She also pays a
sales commission of 8% of sales revenue to her sales staff. Naomi leases her country-
style shop for $1,300 per month and pays $1,800 per month in payroll costs in addition
to the sales commissions. Naomi sold 95 quilts in February,
The operating charges, including parcel expenditure and payroll costs( including sales commissions, amounted to$ 7,242. thus, the net profit before levies for the month of February was$ 11,758.
Donation periphery income statement for Naomi's Quilt Shoppe for the month of February Deals profit 95 bedspreads vended
x$ 490 per spread = $ 46,550 Cost of goods vended 95 bedspreads vended x$ 290 cost per spread = $ 27,550
Gross profit Deals profit- cost of goods
vended = $ 46,550-$ 27,550 = $ 19,000
Operating charges Lease expenditure = $ 1,300
Payroll charges( including deals commissions)$ 1,800 8 of$ 46,550 = $ 5,942
Total operating charges$ 1,300$ 5,942 = $ 7,242.
Net profit before levies Gross profit- operating charges = $ 19,000-$ 7,242 = $ 11,758 .
Naomi's Quilt Shoppe's donation periphery income statement shows that the shop earned$ 19,000 in gross profit from dealing 95 Amish bedspreads, after paying the cost of goods vended.
The operating charges, including parcel expenditure and payroll costs( including deals commissions), amounted to$ 7,242. thus, the net profit before levies for the month of February was$ 11,758.
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Number 5 Please help with it.
this photo is not clear.Am sorry
Write an expression to represent:
5 times the sum of x and 3
Answer:
5(x + 3)
Step-by-step explanation:
the sum of x and 3 is x + 3, then multiply by 5 to obtain
5(x + 3)
Complete both transformations below.
Then enter the final coordinates of the figure.
A(-3,-2)
C(-4,-4)
B(0-4)
1) <6,4>
2) Dilate K = 4
A" ([?], [])
B" ([],[])
C" ([],[_])
Enter
The final coordinates of the transformed figure are A"(-12,-8), B"(0,-16) and C"(-16,-16)
To translate the figure by <6,4>:
Add 6 to the x-coordinate of each point to get the new x-coordinate
Add 4 to the y-coordinate of each point to get the new y-coordinate
New coordinates:
A'(-3+6,-2+4) = (3,2)
C'(-4+6,-4+4) = (2,0)
B'(0+6,-4+4) = (6,0)
To dilate the figure K=4:
The coordinates x and y are multiplied by 4.
New coordinates:
A"(-34,-24) = (-12,-8)
C"(-44,-44) = (-16,-16)
B"(04,-44) = (0,-16)
Hence, the final coordinates of the transformed figure are A"(-12,-8), B"(0,-16) and C"(-16,-16)
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Snow-House sells a $1,501 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $170 each. What is the finance charge?
Answer:
$839.20
Step-by-step explanation:
To find the finance charge, we need to first calculate the total amount financed, which is the price of the snow thrower minus the down payment.
The down payment is 20% of $1,501, which is:
0.20 x $1,501 = $300.20
So the total amount financed is:
$1,501 - $300.20 = $1,200.80
The total amount of the 12 monthly payments is:
12 x $170 = $2,040
The finance charge is the difference between the total amount of the payments and the amount financed:
$2,040 - $1,200.80 = $839.20
Therefore, the finance charge is $839.20.
Factoring polynomials
Solve the following by factoring:
2x² + 16x + 14 = 0
Answer:
x = -1, -7
Step-by-step explanation:
(2x + 14) (x + 1) = 0
2x + 14 = 0, 2x = -14, x = -7.
x + 1 = 0, x = -1.
Subtracting polynomials
Answer:
Subtract the same degrees only.
Step-by-step explanation:
When subtracting polynomials, you can only subtract variables from those with the same degree (like term).
For example:
[tex]x^{2} -x^ = 0[/tex]
You can't subtract as the first x has a degree (exponent) of 2 and the second x has a degree of 1.
However, for example:
[tex]3x^{4} -1x^{4}=0[/tex]
You can subtract this to be [tex]2x^{4}[/tex] as both variables have a degree of 4.
2
S17
3
Check
5
7
(about 89%) of the
(a) According to Chebyshev's theorem, at least
lifetimes lie between] hours and hours. (Round your answer to the
nearest whole number.)
(b) According to Chebyshev's theorem, at least (Choose one) of the
lifetimes lie between 746 hours and 1110 hours.
BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries. To investigate its new line of Ultra batteries, BIG
randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 928 hours, with a standard deviation of 91 hours. Suppose that this mean and
standard deviation apply to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.
Search
X
10
3
11
12
13
Save For Later
Submit As
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a) According to Chebyshev's Theorem, at least 89% of the lifetimes are between 655 hours and 1201 hours.
b) According to Chebyshev's theorem, at least 75% of the lifetimes lie between 746 hours and 1110 hours.
What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].The lifetimes within 2 standard deviations of the mean are given as follows:
928 - 2 x 91 = 746 hours.928 + 2 x 91 = 1110 hours.The lifetimes within 3 standard deviations of the mean are given as follows:
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Members of a book club have 4 different novels to choose from each time they meet. Which of the following could be used to stimulate randomly choosing a novel?
Spinning a spinner with four equal sized sections and assigning a novel to each section.
Spinning a spinner with four equal-sized sections and assigning a novel to each section is the correct option to stimulate randomly choosing a novel. The spinner can be designed with each section representing one of the four novels
The spinner is spun to randomly select one of the novels. Since each section is equal-sized, each novel has an equal probability of being selected.
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The complete question Members of a book club have 4 different novels to choose from each time they meet. Which of the following could be used to stimulate randomly choosing a novel?
(a) Placing 6 marbles in a bag (3 red and 3 blue) and drawing one ball from the bag
(b) spinning a spinner with four equal sized sections and assigning a novel to each section
(c)Tossing a fair coin, where each of the outcomes represents a novel
(d) Rolling a number cube labeled 1-6, where each book is represented by 2 numbers
The ages of Ben, Graham and Pam are in the ratio 3:7:8.
Pam is 25 years older than Ben. How old is Graham?
Answer:
35
Step-by-step explanation:
Question 6(Multiple Choice Worth 1 points)
(02.01 MC)
What are the vertex and range of y = 12x +41 +5?
O (0.5) -∞
O(0.5): 5 ≤y<∞
O(-2,5); -
O(-2,5): 5 sy
The vertex and the range of the quadratic function in this problem are given as follows:
Vertex: (-2, 1).Range: 1 ≤ y < ∞.How to obtain the vertex and the range of the function?The quadratic function in the context of this problem is defined as follows:
y = x² + 4x + 5.
The coefficients are given as follows:
a = 1, b = 4, c = 5.
Hence the x-coordinate of the vertex is given as follows:
x = -b/2a
x = -4/2
x = -2.
Then the y-coordinate of the vertex is given as follows:
y = (-2)² + 4(-2) + 5
y = 1.
As a > 0, the vertex (-2, 1) is the minimum value of the function, hence the range is given as follows:
1 ≤ y < ∞.
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The equation E = mgh gives the gravitational potential energy of an object, where g is the
acceleration due to gravity, m is the mass of the object, and h is the height of the object.
Solve for h in terms of E, m, and g.
Step-by-step explanation:
Starting with the equation E = mgh, we can solve for h in terms of E, m, and g as follows:
E = mgh
Divide both sides by mg:
E/mg = h
Therefore, h = E/mg.
So the solution for h in terms of E, m, and g is h = E/mg.
During a three-way tug-of-war competition, each of the three ropes is tied to a center knot. One man pulls his rope North with a force of 301 N. Another man pulls his rope at 10.0° South of East with a force of 280 N. If the third man pulls on his rope Southwest with a force of 313 N, what is the net force on the knot?
Responses
62.7 N
62.7 N
72.7 N
72.7 N
52.7 N
52.7 N
42.7 N
The net force on the knot is 42.7 N. Therefore, option D is the correct answer.
The force of 301 N to the North can be broken into components of 301 N in the x-direction and 0 N in the y-direction.
The force of 280 N at 10.0° South of East can be broken into components of 250.5 N in the x-direction and -247.8 N in the y-direction.
The force of 313 N to the Southwest can be broken into components of -208.1 N in the x-direction and -278.9 N in the y-direction.
The net force is then the sum of the components in both the x- and y-directions.
The net force in the x-direction is 301 N + 250.5 N - 208.1 N = 343.4 N and the net force in the y-direction is 0 N - 247.8 N - 278.9 N = -526.7 N.
The net force is then the hypotenuse of a right triangle with the x- and y-components as the legs.
The net force is thus equal to √(343.4 N² + (-526.7 N)²) = 42.7 N.
Therefore, option D is the correct answer.
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Sketch the graphs of the absolute value functions y = - |x + 6|
The Absolute value function takes the same value for positive and negative values of its argument.
The graph of the absolute value function y = -|x + 6|, we first need to understand the properties of an absolute value function.
The absolute value of a number is its distance from 0 on the number line. Thus, the absolute value function |x| will always return a non-negative value, regardless of the sign of x. When the absolute value function is multiplied by -1, as in -|x|, the function reflects the graph over the x-axis and makes it negative.
Applying these principles to the given function y = -|x + 6|, we can start by identifying the vertex, which is the point where the absolute value term inside the function equals 0. In this case, the vertex is at x = -6.
Next, we can plot some points to get a sense of the shape of the graph. We can choose values of x that are greater than or less than -6, and use the fact that the function is negative to find the corresponding y-values. For example:
- When x = -7, y = -|(-7) + 6| = -1
- When x = -5, y = -|(-5) + 6| = -1
We can see that the graph has a "V" shape, with the vertex at (-6,0). The line of symmetry is the vertical line passing through the vertex, which is the equation x = -6. The graph approaches the x-axis on either side of the vertex, but never touches it. The negative sign in front of the absolute value term causes the graph to be reflected over the x-axis.
since the absolute value function takes the same value for positive and negative values of its argument.
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Find the x intercepts of the parabola with vertex (-1,2) and y intercept (0,3).
The x intercepts of the parabola are -1 + i√(2) and -1 - i√(2)
How to find the x intercepts of the parabolaUsing the equation:
y = a(x - h)²+ k
where (h, k) is the vertex of the parabola
y = a(x + 1)²+ 2
solving for a at the y intercept
y = a(x + 1)²+ 2
3 = a(0 + 1)²+ 2
a = 1
To find the x intercepts we need to set y = 0 and solve for x:
0 = (x + 1)²+ 2
x + 1 = ±√(-2)
x + 1 = ±i√(2)
x = -1 ± i√(2)
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help! Find the base angles of the figure below.
A) 130°
B) 65°
C) 25°
D) 50°
Answer:
C
Step-by-step explanation:
x=base angle
2x+130=180
2x=50
x=25
base angle = 25
Write an exponential function
The exponential function for the data in the table is given as follows:
[tex]y = 0.0625(2)^x[/tex]
How to define an exponential function?An exponential function has the definition presented as follows:
[tex]y = ab^x[/tex]
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.When the input x increases by one, the output y is doubled, hence the parameter b has the value given as follows:
b = 2.
The parameter a is the value of y when x = 0. When x = 1, the output is double when x = 0, as b = 2, hence:
2a = 0.125
a = 0.0625.
Thus the function is:
[tex]y = 0.0625(2)^x[/tex]
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Write a exponential function
Answer:
2f2y3ui2ke9i22881o228j11 GJ
Answer:
[tex]y = 0.0625(2) {}^{x} [/tex]
Step by step
[tex]y = a(b^{x} )[/tex]
X = 1 y = 0.125
[tex]0.125 = ab^{1} \\ a = \frac{0.125}{b} [/tex]
X = 4 y = 1
[tex]1 = a( {b}^{4} ) \\ ab^{4} = 1 \\ replace \: a = \frac{0.125}{b} \: in \: ab^{4} = 1 \\ \frac{0.125}{b} \times b^{4} = 1 \\ {b}^{3} = \frac{1}{0.125} \\ b = \sqrt[3]{ \frac{1}{0.125} } \\ b = 2[/tex]
[tex]replace \: b = 2 \: in \: a = \frac{0.125}{b} \\ a = \frac{0.125}{2} \\ a = 0.0625[/tex]
[tex]therefore \: \\ y = 0.0625( {2})^{x} [/tex]
Find the area of the shaded region. Round your answer to the nearest hundredth. A circle and two triangles drawn inside it. The two circles are congruent and share a common side. This common side is the diameter of circle. The third vertex of both triangles lie on the circle. The lengths of sides apart from diameter are labeled 3 meters and 4 meters. The region inside circle and outside triangles is shaded. The area is about __square meters.
Answer: 7.635 square meters
Step-by-step explanation:
Both triangles have the diameter as one of their sides and they both have a vertex on the circumference of the circle. Thus, the two triangles are right triangles, and the hypotenuse of the triangles is the diameter.
Use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
Square root both sides to isolate c (hypotenuse/diameter): [tex]c=\sqrt{a^2+b^2}[/tex]
Plug in the values of a and b to calculate c: [tex]c=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
The diameter of the circle is 5 meters, so the radius of the circle is 2.5 meters.
Plug in the radius into the equation for the area of a circle: Area = [tex]\pi r^2=\pi *2.5^2=6.25\pi[/tex] square meters.
The equation for the area of a triangle is [tex]\frac{1}{2}bh[/tex], where b is the base of the triangle and h is the height of the triangle.
Since we have two congruent triangles, the total area of the two triangles combined is simply b*h.
Plug in the values of b and h to get b*h = 3*4 = 12 square meters.
Subtract the total area of the two triangles combined from the area of the circle to get the area of the shaded region: [tex]6.25\pi - 12=7.635[/tex] square meters.
15. Find the sum of the first six terms of the geometric sequence for which a2 = 0.7 and a3 = 0.49.
16. Rewrite using radicals.
17. Rewrite using rational exponents.
Find the sum of the first six terms of the geometric sequence for which a2 = 0.7 and a3 = 0.49.
Let the common ratio of the geometric sequence be r. Then we have:
a2 = ar = 0.7
a3 = ar^2 = 0.49
Dividing the second equation by the first, we get:
r = a3/a2 = 0.49/0.7 = 7/10
So the first six terms of the sequence are:
a1 = a2/r = 0.7/(7/10) = 1
a2 = 0.7
a3 = 0.49
a4 = ar^2 = 0.343
a5 = ar^3 = 0.2401
a6 = ar^4 = 0.16807
The sum of the first six terms is:
S6 = a1 + a2 + a3 + a4 + a5 + a6
S6 = 1 + 0.7 + 0.49 + 0.343 + 0.2401 + 0.16807
S6 = 2.94017
Therefore, the sum of the first six terms of the geometric sequence is approximately 2.94017.
Rewrite using radicals.
The expression (x^3/4)^2 can be rewritten as:
(x^3/4)^2 = x^3/4 * x^3/4
(x^3/4)^2 = (x^3)^2 / 4^2
(x^3/4)^2 = x^6 / 16
So (x^3/4)^2 is equivalent to (x^6/16) using radicals.
Rewrite using rational exponents.
The expression √(a^3b^2) can be rewritten using rational exponents as:
√(a^3b^2) = (a^3b^2)^(1/2)
√(a^3b^2) = a^(3/2)b^(1)
So √(a^3b^2) is equivalent to a^(3/2)b^(1) using rational exponents.
Determine how long it will take for a principal amount of $1,500 to become double its initial value when deposited into an account paying interest at a rate of 13%, continuously compounded.
guys pls help
Step-by-step explanation:
Continuous compounding formula e^(rt)
2 = e^(.13 * t) '2' is 'double r = .13 which is 13% in decimal
LN both sides
ln(2) = .13 t
ln (2) / .13 = t = 5.33 yrs
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 13 millimeters long, and the height of the equilateral triangle is 11.3 millimeters. The pyramid's slant height is 17 millimeters. What is its surface area?
The surface area of the Triangular pyramid is approximately 331.3 square millimeters.
The surface area of a triangular pyramid, we need to calculate the area of its base and the area of each triangular face, then add them together. The formula for the surface area of a triangular pyramid is:
SA = (1/2)P*l + B
where SA is the surface area, P is the perimeter of the base, l is the slant height of each triangular face, and B is the area of the base.
In this case, the base of the triangular pyramid is an equilateral triangle with legs of 13 millimeters and a height of 11.3 millimeters. To find the area of the base, we can use the formula for the area of an equilateral triangle:
B = (sqrt(3)/4)*a^2
where a is the length of a side of the equilateral triangle.
Substituting a = 13 into the formula, we get:
B = (sqrt(3)/4)*13^2
B = (sqrt(3)/4)*169
B = 43.7 square millimeters (rounded to one decimal place)
Next, we can find the perimeter of the base:
P = 3a
P = 3*13
P = 39 millimeters
Now we can use the formula for the surface area of a triangular pyramid:
SA = (1/2)P*l + B
Substituting P = 39, l = 17, and B = 43.7, we get:
SA = (1/2)*39*17 + 43.7
SA = 331.3 square millimeters (rounded to one decimal place)
Therefore, the surface area of the triangular pyramid is approximately 331.3 square millimeters.
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Could you help answer this step by step please?
The linear function giving the volume of the balloon after t seconds is given as follows:
V(t) = 4 + 0.5t.
The time that it takes to fill the balloon is given as follows:
24 seconds.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The slope and the intercept for this problem are given as follows:
m = 0.5 -> volume increases by 0.5 ft³/s.b = 4 -> initial volume of the balloon.Hence the linear function giving the volume of the balloon after t seconds is given as follows:
V(t) = 4 + 0.5t.
The total capacity is of 16 ft³, hence the time needed to fill the balloon is obtained as follows:
16 = 4 + 0.5t
0.5t = 12
t = 12/0.5
t = 24 seconds.
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Are any of these numbers a solution to the
equation x2 = 2?
• 1
2
3
7
5
순
The number 1 is a solution to the equation 2x = 2.
We have the Equation
2x = 2
Now, dividing both side by 2 we get
2x/2 = 2/2
x = 1
So, the number 1 is a solution to the equation 2x = 2.
When x is 1, the left side of the equation becomes 2(1) = 2, which is equal to the right side of the equation.
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HOMEWORK HELP PLEASE!!!!
The y-intercept of the graph of 3x + y = 6 is (0,
A graph of 3x + y = 6 is shown in the image below.
A graph of x + y = 4 is shown on the same grid in the image below.
A solution to the simultaneous equations is (1, 3).
What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided about the equation, the y-intercept can be calculated as follows:
3x + y = 6
y = -3x + 6
f(0) = -3(0) + 6
f(0) = 0 + 6
f(0) = 6.
Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph, which is given by the ordered pair (1, 3).
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Describe each transformation. Express each
one algebraically. Tell whether the figure and
its image are congruent or are similar.
1. First transformation:
Description:
Algebraically:
Relative size:
2. Second transformation:
Description:
Algebraically:
Relative size:
Rule for the first transformation : (x, y) → (2.5x, 2.5y)
Rule for the second transformation : (x, y) → [(x - 4), (y + 1)]
Transformations of a figure:
If a figure is dilated by a scale factor 'k', rule defining the dilation will be, If a point (x, y) is shifted 'a' units left and 'b' units upwards,
Rule defining the translation will be,
(x, y) → (x - a, y + b)
we have,
Radius of image circle = 2.5 units
Radius of pre image circle = 1 unit
Scale factor 'k' = 2.5/1
= 2.5
Since, image circle (blue) is shifted to the left and upwards, rule for the translation will be,
(x, y) → [(x - a), (y + b)]
Following the rule, coordinates of the image circle will be,
(0, 0) → [(0 - a), (0 + b)]
→ (-a, b)
Coordinates of the image circle from the picture → (-4, 1)
Therefore, -a = -4 ⇒ a = 4
b = 1
First transformation: (x, y) → (2.5x, 2.5y)
Second transformation : (x, y) → [(x - 4), (y + 1)]
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complete question:
Write an algebraic description for the sequence of transformations that will map the preimage onto the image, to show that the two circles are similar.
A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.A second function, g, is defined by
g
(
x
)
=
–
3
x
+
2.
Select the correct phrase in each drop-down menu to complete the sentence.
The figure shows a graph of the function fx in the coordinate plane. f2 is greater than g2.
As the graph of function f(x) is a parabola, so that the equation of function f(x) is:
f(x) = [tex]ax^2+bx+c[/tex]
As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)
=> f(0) = 8; f(-2) = 0; f(4) = 0
We have:
f(x=0) = a x 0 + b x 0 + c = 8 => c = 8
We have:
+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)
+) 16a + 4b + 8 = 0 (2)
We take (2) minus (1)
=> (16a + 4b + 8) - (8a - 4b + 16) = 0
=> 8a - 8 = 0 => a = 1
Replace a = 1 into (1)
=> 8 x 1 - 4b + 16 = 0 => b = 6
f (2) = 2^2 + 6 x 2 + 8 = 24
g (2) = 3 -2 + 2 = 3
Thus, f(2) is greater than g(2).
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What is the solution to 4|x – 6| ≤ 16?
Answer:
Step-by-step explanation:
4 | x - 6 | ≤ 16
| x - 6 | ≤ 4
-4 ≤ x - 6 ≤ 4
-4 + 6 ≤ x ≤ 4 + 6
2 ≤ x ≤ 10
10. A plane is flying from Winnipeg to Calgary against a strong headwind of 50 km/hr. The plane
1/2 takes hour longer for this flight than it would take in calm air. If the distance from Winnipeg to
Calgary is 1200 km, what is the speed of the plane in calm air, to the nearest kilometer per hour?
The speed of the plane in calm air is 372 km/h
Given that a plane is travelling from Winnipeg to Calgary against a 50 km/hr headwind.
This flight takes half an hour longer than it would in calm air.
The distance between Winnipeg and Calgary is 1200 km.
Since we know that,
Speed may be defined as the distance travelled by an item in relation to the time it takes to travel that distance.
In other words, it measures how rapidly an item travels but does not provide direction. The term "velocity" refers to the combination of direction and speed.
The speed is defined by the rate of distance.
We must determine the plane's speed in calm air.
xy=1200
(x-50)(y+1/2) =1200
x² - 50 x-12000=0
By using quadratic formula.
x=372 as x>0
Hence, 372 km/h is the speed of the plane in calm air
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Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The median is the measurement that is the same for Charles and Jermod.
In a dot plot, the median represents the middle value when the data points are arranged in ascending or descending order.
From the given dot plots, we can see that both Charles and Jermod have their median values at 35 minutes per day.
Therefore, the median is the measurement that is the same for Charles and Jermod.
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