The linear speed of a point on Mercury's equator is approximately 6.77 miles per hour.
To find the linear speed of a point on Mercury's equator, we can use the formula for linear speed:
[tex]\[ \text{Linear Speed} = \frac{2\pi r}{T} \][/tex]
where:
- ( r ) is the radius of the planet,
- ( T ) is the time it takes for one revolution.
Given that the radius of Mercury is 1500 miles and it rotates once every 1400 hours, we can plug in these values into the formula:
[tex]\[ \text{Linear Speed} = \frac{2\pi \times 1500}{1400} \][/tex]
Simplifying this expression gives us the linear speed in miles per hour.
[tex]\[ \text{Linear Speed} = \frac{3000\pi}{1400} \approx 6.77 \, \text{miles per hour} \][/tex]
-2 square root 20- square root 125
Answer:-5.93958251....
Step-by-step explanation:
To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.
The question asks to simplify the expression -2√20 - √125.
First, let's simplify the square roots by factoring out squares from under the radical:
√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5Now let's substitute these simplified forms back into the original equation and simplify:
-2(2√5) - 5√5 = -4√5 - 5√5
Combine like terms to get the final simplified result:
-9√5
complete question given below:
simplify -2 square root 20- square root 125
The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?
Answer:
the width is 7. i just did this in deltamath
Step-by-step explanation:
What is 4/9 as a decimal
Answer:
0.4 and alot of other 4's
Step-by-step explanation:
Answer:
.44444444 repeating
Any number less than 9 over 9 will be itself forever after a decimal point
Step-by-step explanation:
Can someone please answer this question please answer it correctly please show work please
Answer:
3) A
4) D
Step-by-step explanation:
3)
Find any four points where y intersects with x on graph A
(-4 , 2) (-2 , 1) (4, - 2) (2 , -1)
Find the relationship(s) between x and y
(-4 , 2) (-2 , 1) (4, - 2) (2 , -1)
x = -2y x = -2y x = -2y x = -2y
It is shown that there is a direct proportional relationship between x and y, (x = -2y)
Repeat for graphs B, C, and D
Find any four points where y intersects with x on graph B
(3 , 2) (5 , 4) (-3 , -4) (-4 , -5)
Find the relationship(s) between x and y
x = 1.5y x = 1.25y x = 0.75y x = 0.8y
As you can see, there is not a constant direct proportional relationship between x and y. B is not the correct answer
Graph C
Find any four points where y intersects with x on graph C
(-5 , -3) (-1 , -3) (1 , -3) (5 , -3)
Find the relationship(s) between x and y
x = 1.67y x = 0.3y x = -0.3y x = -1.67y
Once again, there is not a constant direct proportional relationship between x and y, so C is not the correct answer
Graph D
Find any four points where y intersects with x on graph D
(2 , 1) (2 , 2) (2 , 3) (2 , 4)
Find the relationship(s) between x and y
x = 2y x = y x = 0.67y x = .5y
There is no direct constant relationship between x and y in this graph either.
Graph A is the only graph with a direct proportional relationship between x and y.
4) Allison wants to know whom seventh-grade students will vote for in the upcoming class president election.
A) Every member of the student council
Asking every member of the student council who they are voting for will not help Allison, because it is likely that there are multiple grades involved in the student council, when Allison just wants to know the opinions of seventh-graders. The student council also might have a different opinion than the general seventh-graders.
B) All 12 girls in Allison's homeroom class
It is likely that the girls at Allison's school have a very different opinion than the boys at her school, making this a bad data set.
C) Every tenth student who arrives at school on Monday
Allison only want to know the opinions of seventh-graders, not every tenth student at her school, which would consist of more than seventh-graders.
D) Every tenth name on a roster of all of the seventh-graders at the school
This data set would be the most useful to Allison because it is multi-gender, only seventh-grade, and consists of the general seventh-graders (not part of a special group).
D
Hope this helps :)
Doug makes a parallelogram-shape sign for his shop.
What is the area of this parallelogram?
Round to the nearest hundredth.
A. 5.32 ft²
B. 8.96 ft²
C. 14.28 ft²
D. 17.02 ft²
Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B and is connected to point D by a dotted line. Point F is on side DC and connected to B by a dotted line. Angle D E B and angle F B E are right angles. A E and F C are 1.9 feet each. E B is 3.2 feet. F B is 2.8 feet.
Answer:
14.28 ft squared
Step-by-step explanation:
The formula for the area of a parallelogram is base times height.
Add 3.2 to 1.9 to get the base, and 2.8 is the height.
(3.2 + 1.9) x 2.8
5.1 x 2.8 = 14.28
14.28
Find the missing side length of S
Answer:
s=12
Step-by-step explanation:
Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.
[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]
You received an order for a 28-day supply for Propranolol HCI 120mg tablets po q.i.d. to prevent post M I reinfection How many tablets will be dispensed for the 28-day supply?
112 tablets will be dispensed for the 28-day supply.
Step-by-step explanation:
Given:
Received an order of 120 mg tablet po q.i.d. for a 28-day supply.
Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.
In medical prescription, the term 'po' refers the treatment that should be taken orally. i.e. by opening mouth or the way of openingIn medical prescription, the term 'q.i.d' refers four times in a day.Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,
[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]
tablets to be dispensed for the 28-day supply = 112 tablets.
Eden spent half of her weekly allowance on candy. To earn more money her parents let her weed the garden for $5. What is her weekly allowance if she ended with 12?
Answer:
her weekly allowance would be 7
Step-by-step explanation:
Answer:
$24
Step-by-step explanation:
12 is 1/2 of 24.
So, when she weeds the garden, she will have $17.
If she gets her weekly allowance and the $5, she will have $41, assuming she doesn't spend any of the money she already has.
What is the scale factor on the map (10 points
Answer:
2785
Step-by-step explanation:
I had 20 dollars and earned 15, leaving me with 35. What is the percent that it increased in pay?
Answer:
42.8%
Step-by-step explanation:
I asked Alexa lol
Answer:
The answer is 40%
Step By Step Explanation:
The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%
Write an expression in simplest form to represent the area of the shaded region
3x+2 2x 3x 4x
Chang drove 315 miles in 5 hours.
At the same rate, how long would it take him to drive 567 miles?
I hours
Answer:
AROUND 6-7 HOURS
Step-by-step explanation:
What value of r makes the equation true
2(3r + 11) = (7r - 3r)
Answer:
r=-11
Step-by-step explanation:
Solve for r:
2 (3 r + 11) = 7 r - 3 r
7 r - 3 r = 4 r:
2 (3 r + 11) = 4 r
Expand out terms of the left hand side:
6 r + 22 = 4 r
Subtract 4 r from both sides:
(6 r - 4 r) + 22 = 4 r - 4 r
6 r - 4 r = 2 r:
2 r + 22 = 4 r - 4 r
4 r - 4 r = 0:
2 r + 22 = 0
Subtract 22 from both sides:
2 r + (22 - 22) = -22
22 - 22 = 0:
2 r = -22
Divide both sides of 2 r = -22 by 2:
(2 r)/2 = (-22)/2
2/2 = 1:
r = (-22)/2
2 | 1 | 1
| 2 | 2
- | 2 |
| | 2
| - | 2
| | 0:
Answer: r = -11
What is the answer to 4•4+4(5-2)+7
Answer:
35
Step-by-step explanation:
4 x 4+4(5-2)+7
4 x 4+4(3)+7
16+12+7
28+7
35
Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?
Answer:
56 per hour
Step-by-step explanation:
168 divided by 3
If a circle has a radius of 12 feet, whats its circumference most nearly?
Answer:24π feets
Step-by-step explanation:
Since the circumference C= 2πr and r=12
C= 2x12xπ
C=24π
What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7
Final answer:
The solution shown is incorrect because the equation is not simplified before performing operations.
Explanation:
The solution shown is incorrect. Let's go step by step to find the error:
Step One: -5m - 16 = 19
Step Two: 5m - 16 + 16 = 19 + 16
Step Three: 5m = 35
Step Four: Divide both sides by 5: m = 7
The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.
Therefore, the correct solution is m = 7.
Final answer:
The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.
Explanation:
The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.
Step One
Add 16 to both sides of the equation to eliminate the -16:
-5m - 16 + 16 = 19 + 16
-5m = 35
Step Two
Divide both sides by -5 to solve for m:
-5m / -5 = 35 / -5
m = -7
The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.
d - 10 - 2d + 7 = 8 + d - 10 - 30
Answer:
[tex]d=14.5[/tex]
Step-by-step explanation:
Given equation:
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]
To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.
[tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]
[tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]
On, solving the equation the value of 'd' is [tex]d=14.5[/tex]
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36
Answer:
A. 250
B.40
C.225
D.24
Step-by-step explanation:
20/0.08 = 250
30/0.75 = 40
45/0.2 = 225
36/1.5 = 24
Answer:
a. 8% of 250 = 20
b. 75% of 40 = 30
c. 20% of 225 = 45
d. 150% of 24 = 36
Step-by-step explanation:
20×100÷8
=250
30×100÷75
=40
45×100÷20
=225
36×100÷150
=24
A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested
Answer:
1600
Step-by-step explanation:
Assuming $6.25 is the interest earned annually,
Let n be the no. of years
Then,
6.25 × n = 10000
n = 10000/6.25
n = 1600
Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is the likelihood of this event?
A.
The probability is 1, and the event is certain.
B.
The probability is 3/11 , and the event is likely.
C.
The probability is 6/11, and the event is unlikely.
D.
The probability is 6/11 , and the event is neither likely nor unlikely.
Answer:
D. The probability is 6/11, and the event is neither likely nor unlikely
Step-by-step explanation:
54% = 6/11
Answer:
D
Step-by-step explanation:
(-4.7)^0 Does anyone have the answers to the Exponents and Exponential Functions Unit test
The answer to (-4.7)⁰ is 1
How to solve the exponent
We have a rule of thumb that Any non-zero number raised to the power of 0 is equal to 1.
This is a fundamental rule in mathematics and is consistent across all real numbers.
So, when you have (-4.7)⁰, you're essentially raising the number -4.7 to the power of 0.
Even though -4.7 is negative, it's still a non-zero number. Therefore, according to the rule, (-4.7)⁰ equals 1.
Substitute x+3y=4
2x-6y=8
Answer:
x=4, y=0. (4, 0).
Step-by-step explanation:
x+3y=4
2x-6y=8
------------
x=4-3y
2(4-3y)-6y=8
8-6y-6y=8
8-12y=8
12y=8-8
12y=0
y=0/12
y=0
x+3(0)=4
x+0=4
x=4-0
x=4
use the completing the square method to solve the equation x^2 + 16x + 2.
x = - 0.12 or - 15.87
Step-by-step explanation:
Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex] So, [tex]x^{2} +16x+64 = 62[/tex] [tex]ie, (x+8)^{2} = 62[/tex] Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex] So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]Therefore, [tex]x = -0.12, -15.87[/tex]
Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8. What is the equation of the line in slope-intercept form?
Solution:
Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)
To find: Equation of the line in slope - intercept form
The equation of line in slope intercept form is:y = mx + c ------ eqn 1
Where, "m" is the slope of line and "c" is the y intercept
Find the slope of line[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex](x_1, y_1) = (-5, -2)\\\\(x_2, y_2) = (3, 14)[/tex]
Therefore,
[tex]m = \frac{14-(-2)}{3-(-5)}\\\\m = \frac{14+2}{3+5}\\\\m = \frac{16}{8}\\\\m = 2[/tex]
Thus slope of line is 2
Find the y intercept:Substitute m = 2 and (x, y) = (-5, -2) in eqn 1
-2 = 2(-5) + c
-2 = -10 + c
c = -2 + 10
c = 8
Thus the equation of line is:Substitute c = 8 and m = 2 in eqn 1
y = 2x + 8
Thus the equation of line is found
Answer:
the answer is y=2x+8
Step-by-step explanation:
The green dots must make up a triangle 1/3 of the original picture PLZ HELP
Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C
A=. (-6,-3)
B = (-9,6)
C =(3,9)
Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:
A’=(-2,-1)
B’ =(-3,2)
C’ =(1,3)
Angie wants to purchase mulch for her tulip garden. The dimensions of her garden are 6 feet by 8 feet. If mulch is sold by the square yard, determine how many square yards of mulch she must purchase and how much it costs. The price of the mulch is 1.50 per square yard.
Answer:
72 dollars
Step-by-step explanation:
Name the property the equation illustrates.
-4x-1/4=1
Answer:
Distrbutive Property
Step-by-step explanation:
The equation -4x - 1/4 = 1 illustrates the addition property of equality.
Explanation:The property illustrated by the equation -4x - 1/4 = 1 is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality of the equation is maintained. To isolate the variable, we need to get rid of the constant term (-1/4) on the left side of the equation by adding 1/4 to both sides. This simplifies the equation to -4x = 1 + 1/4. Then, divide both sides by -4 to solve for x.
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Which of the following equations would result in destructive interference with the wave y= -2sin(2pi/3 x)?
A.) y= -2sin(2pi/3 x)
B.) y=2sin(2pi/3 x)
C.) y= -2sin 3pi/2 x)
D.) y=2sin (3pi/2 x)
Answer:
B: 0.449 secs
A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)
B: y=2sin(2pi/3x)
Answer:
B. y=2sin(2pi/3x)
Step-by-step explanation:
mean of 10 observations is 2.5.if one observation 2.5 is deleted,determine the new mean
Answer: 2.5
Step-by-step explanation:
Mean m = Sum s ÷ no of observation n
m = 2.5, n = 10
2.5 = s ÷ 10
s = 10 × 2.5
s = 25.
If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.
The no of observation becomes 9.
Therefore new mean = 22.5 ÷ 9
m = 2.5.
How this helps?
The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.
Explanation:The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.
Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.
Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.
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