there are 3600 seconds per hour
15 * 3600 = 54000 meters per hour
54000/ 1609 = 33.56
round to 33.6 miles per hour
The speed of Hummingbird's in miles per hour is 8,153.6463 mph.
What is speed-distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,Distance = Speed X Time, and
Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.Given:
A hummingbird can travel up to 15 meters per second.
As,
1 m/s= 2.23694 mph
So, 15 m/s= 15 * 2.23694
= 8,153.6463 mph
Hence, the speed in mph is 8,153.6463.
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Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
The graph shifts 1 unit left.
The graph shifts 5 units left.
The graph shifts 5 units right.
The graph shifts 1 unit right.
in february,Robbins and Myers,Inc.executed a 2-for-1 split.janine had 470 shares before the spilit.each share was worth $69.48. A.how many shares did she hold after the split? B.what was the post-split price per share? C.show that the split was a monetary non-event for janine?
Janine held 940 shares after the split. The post-split price per share was $34.74. The split was a monetary non-event as the total value of Janine's shares remained the same.
Explanation:A 2-for-1 split means that for every one share of stock owned, an investor receives two shares in return. In this case, Janine had 470 shares before the split. After the split, she would have 470 x 2 = 940 shares.
The pre-split price per share was $69.48. Since the split was 2-for-1, the post-split price per share would be $69.48 / 2 = $34.74.
To show that the split was a monetary non-event for Janine, we can calculate the total value of her shares before and after the split. Before the split, Janine's shares were worth 470 x $69.48 = $32,621.60. After the split, her 940 shares would be worth 940 x $34.74 = $32,621.60. Therefore, the total value of her shares remained the same.
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The ratio of men to women working for a company is 5 to 8 . if there are 104 women working for the company, what is the total number of employees?
Before a sale, an item’s price was $38.00. After the sale discount, the price became $32.30. What was the percent of the sale discount
Answer:
15%
Step-by-step explanation:
Before a sale, an item’s price was $38.00.
Original price, p = $38.00
After the sale discount, the price became $32.30.
After discount price, q = $32.30
Difference of sale = 38.00 - 32.30
= $5.70
% of sale distance [tex]=\dfrac{difference}{original price}\times 100[/tex]
[tex]=\dfrac{5.70}{38.00}\times 100[/tex]
[tex]=15\%[/tex]
Hence, The sale discount is 15%
Before a sale, an item’s price was $38.00. After the sale discount, the price became $32.30. The percentage of the sale discount is 15%.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Before a sale, an item’s price was $38.00.
Original price, p = $38.00
After the sale discount, the price became $32.30.
After discount price, q = $32.30
Difference of sale = 38.00 - 32.30
= $5.70
The percent of the sale discount = difference/ original x 100
= 5.70 / 38.00 x 100
= 15%
Thus, The percentage of the sale discount is 15%.
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The original price of the DVD is nine dollars the sale price is 80% of the price what is the sale price of the DVD?
multiply $9 by 80%
80% = 0.80
9 * 0.8 = 7.20
subtract that from original price
9 - 7.20 = 1.80
Sale price is $1.80
How to do this I don’t understand what I’m doing wrong
PLEASE HELP ME!!!! WORTH 10 POINTS!!
Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify (x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
[tex]y-(-1)=-\frac{2}{7}(x-(-4))[/tex]
Step-by-step explanation:
We know that the line passes through (-4,-1) and (3,-3), where [tex](x_{1} ,y_{1} )[/tex] is [tex](-4,-1)[/tex] and [tex](x_{2} ,y_{2} )[/tex] is [tex](3,-3)[/tex].
First, we need to find the slope with the formula
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Replacing given points
[tex]m=\frac{-3-(-1)}{3-(-4)}=\frac{-3+1}{3+4}=\frac{-2}{7}[/tex]
Then, we use the slope, one point and the slope-point form
[tex]y-y_{1} =m(x-x_{1} )\\y-(-1)=-\frac{2}{7}(x-(-4))\\ y+1=-\frac{2}{7}x+\frac{8}{7} \\y=-\frac{2}{7}x+\frac{8}{7}-1\\y=-\frac{2}{7}x+\frac{8-7}{7} \\y=-\frac{2}{7}x+\frac{1}{7}[/tex]
The slope-intercept form is
[tex]y=-\frac{2}{7}x+\frac{1}{7}[/tex]
The point-slope form is
[tex]y-(-1)=-\frac{2}{7}(x-(-4))[/tex]
In the xy-plane, if line k has negative slope and passes through the point (−5,r), is the x-intercept of line k positive?
Matter must have two physical properties: 1. have mass, and 2._____.
What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.
Answer: The required solutions of the given equation are
[tex]x=\pm\sqrt7,~\pm\sqrt2i.[/tex]
Step-by-step explanation: We are given to find the solutions of the following bi-quadratic equation :
[tex]x^4-5x^2-14=0~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Let us consider that
[tex]x^2=y~~~~~\Rightarrow x^4=y^2.[/tex]
So, equation (i) becomes
[tex]y^2-5y-14=0,[/tex]
which is a quadratic equation in the variable y. The above equation in variable y can be solved using factorization as follows :
[tex]y^2-5y-14=0\\\\\Rightarrow y^2-7y+2y-14=0\\\\\Rightarrow y(y-7)+2(y-7)=0\\\\\Rightarrow (y-7)(y+2)=0\\\\\Rightarrow y-7=0,~~~y+2=0\\\\\Rightarrow y=7,-2.[/tex]
Therefore, we get
[tex]x^2=7\\\\\Rightarrow x=\pm\sqrt7[/tex]
and
[tex]x^2=-2\\\\\Rightarrow x=\pm\sqrt{-2}\\\\\Rightarrow x=\pm\sqrt2i,~~~~~~~~~~~~~[\textup{where }i=\sqrt{-1}][/tex]
Thus, the required solutions of the given equation are
[tex]x=\pm\sqrt7,~\pm\sqrt2i.[/tex]
What is the percent increase of 2826 to 3324?
The answer is provided in the image attached.
Have a great day!
Mary bought 20 bowls and plates for $96. each bowl cost $4.50 and each plate cost $1.50 more than a bowl. she bought more bowls than plates. how many bowls and how many plates did she buy?
The revenue from selling x shirts is r(x) = 15x.
The cost of buying x shirts is c(x) = 7x + 20.
The profit from selling x shirts is p(x) = r(x) – c(x).
What is p(x)?
A. p(x) = 22x – 20
B. p(x) = 22x + 20
C. p(x) = 8x – 20
D. p(x) = 8x + 20
The profit function, p(x) is the difference between the revenue and cost function of the shirt sales, Hence, the profit function is 8x - 20
Given the Parameters :
Revenue function, R(x) = 15x Cost function, C(x) = 7x + 20The profit function can be expressed thus ::
Revenue function - Cost FunctionP(x) = R(x) - C(x)
P(x) = 15x - (7x + 20)
P(x) = 15x - 7x - 20
P(x) = 8x - 20
Therefore, the profit function is 8x - 20.
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If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
1/4
5/18
1 1/2
3 3/5
The speed of the snail, in meters per hour 3 3/5 meters/hour.
Given that, a snail can move 3/10 of a meter every 1/12 hour.
We need to find the speed of the snail, in meters per hour.
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is Speed = Distance ÷ Time.
Now, speed = 3/10 ÷ 1/12
=3/10 × 12/1
=18/5
=3 3/5
Therefore, the speed of the snail, in meters per hour 3 3/5 meters/hour.
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A fair coin is tossed 4 times. find the probability of obtaining exactly 2 heads
Final answer:
The probability of obtaining exactly 2 heads when a fair coin is tossed 4 times is 3/8.
Explanation:
To find the probability of obtaining exactly 2 heads when a fair coin is tossed 4 times, we need to determine the number of ways to get 2 heads out of 4 tosses and divide it by the total number of possible outcomes.
Step 1: Determine the number of ways to get exactly 2 heads.
There are four coin tosses, and we want 2 of them to be heads. We can choose the positions for the 2 heads out of the 4 tosses in 4C2 = 6 ways.
Step 2: Determine the total number of possible outcomes.
Each coin toss has two possible outcomes: heads or tails. Since there are 4 tosses, the total number of outcomes is 24 = 16.
Step 3: Calculate the probability.
The probability of obtaining exactly 2 heads is 6/16 = 3/8.
Given: p: 2x = 16 q: 3x – 4 = 20 Which is the converse of p → q?
Answer:
If q:3x-4=20 then p:2x=16
Step-by-step explanation:
We are given that two statement p and q
p:2x=16
q:3x-4=20
We have to find the converse of given statements.
Converse:
If p then q.
Converse statement
If q then p.
[tex]q\implies p[/tex]
Therefore, definition of converse
q: 3x-4=20
p: 2x=16
If q:3x-4=20 then p:2x=16
Joanne deposits $4,300 into a one-year CD at a rate of 4.3%, compounded daily. How much interest does she earn?
In this case, Joanne's interest earned by depositing $4,300 into a one-year CD at a rate of 4.3%, compounded daily can be calculated by plugging the values into the formula.
To calculate the interest earned, use the formula for compound interest: I = P(1 + r/n)^nt - P, where I is the interest earned, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per time period, and t is the number of time periods.
Substitute the values into the formula to find the interest earned: I = $4,300(1 + 0.043/365)^(365*1) - $4,300
2. How are Angle 3 and Angle 7 related?
1 point
Corresponding angles
Vertical angles
Same Side Interior angles
Alternate exterior angles
Baby Isbel plays with blocks. Each block is 3.7 inches tall. She has a collection of 41 blocks. If she could stack all the blocks on top of each other, how many inches tall would her tower of blocks be?
What are the center and radius of the circle with equation (x + 8)^2 + (y + 3)^2 = 121?
What is the expression for "the difference between five times a number and twice that number"? 5(2 - n) 5n - 2n 2n - 5n?
HELP ME PLZ PPL!!!!
Solve for x: |x − 2| + 10 = 12 (1 point)
x = −20 and x = 4
x = −4 and x = 0
No solution
x = 0 and x = 4
PLease Help!
A number x is no more than 9 units away from 8. Write and solve an absolute-value inequality to show the range of possible values of x.
1. |x + 9| ≤ 8
−17 ≤ x ≤ −1
2. |x + 8| ≤ 9
−17 ≤ x ≤ 1
3. |x − 9| ≤ 8
1 ≤ x ≤ 17
4. |x − 8| ≤ 9
−1 ≤ x ≤ 17
20 less than 5 times a number
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
Answer:
21 inches is right i just took the e2020 assignment
Step-by-step explanation:
What is the answer? Need help right away!!!!
Find the measure of Angle 1
Answer:
66º
Step-by-step explanation:
From the picture we know that AB║CD. Therefore, the line BD is a transversal line between two parallels.
We know that in these cases, the alternate interior angles are the same.
In the picture, angle 1 and the angle that measures 66º are alternate interior angles. Therefore, angle 1 measures 66º as well.
∠1 = 66º
Rolando had $200,000 in a CD at Big Bucks Bank, which just failed. If the FDIC insurance the bank, how much will Rolando get back?
$0
$250,000
$120,000
$200,000
Please help and show all work.
3.4−2.8d+2.8d−1.3 Combine like terms to simplify the expression