what is the circumference of earth's equator?
Answers
Answer:
40,075 kilometers
Step-by-step explanation:
The distance around the Earth at the Equator, its circumference, is 40,075 kilometers
Related Questions
Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.
If they combine all of the juice together, how much apple juice does each person get to drink?
If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?
Answers
Answer:
5.25 litres.
Step-by-step explanation:
6 bottles * 3.5 litres = 21 litres of juice total.
21 / 4 = 5.25 litres per person.
solve pls brainliiiesttt
Answers
Basically, the answer is...
Y=84\4
Y=42/2
Y=21
51 is 33 1/3 of what number
Answers
Step-by-step explanation:
33 1/3 = (3×33 + 1)/3 = 100/3
51 = 100/3 × x
153 = 100x
x = 153/100 = 1.53
1.53 × 33 1/3 = 51
so, "that" number is 1.53.
Select the correct answer from each drop-down menu. Ben is making a chart in which he is listing the masses of different planetary bodies. He plans to write the masses in scientific notation. Convert the values in scientific notation to standard notation. The mass of Ganymede is 1.48E23, or , kilograms. The mass of Pandora is 2.20E17, or , kilograms.
Answers
Answer:
For Ganymede, it is 148,000,000,000,000,000,000,000
and for Pandora, it is 22,000,000,000,000,000,000
Step-by-step explanation:
the e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:
1.48*10^23
1.48*1,000,000,000,000,000,000,000,000
2.20*10^17
2.20*1,000,000,000,000,000,000
I hope this is helpful.
Weight of Ganymede in kilograms is 148,000,000,000,000,000,000,000 kg and for Pandora 22,000,000,000,000,000,000 kg
How to convert scientific notation into standard notation?
The e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:
1.48*10^23
1.48*1,000,000,000,000,000,000,000,000
2.20*10^17
2.20*1,000,000,000,000,000,000
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What does 9.6 divided by 0.08
Answers
Answer:
120
Step-by-step explanation:
9.6÷0.08=120
hope this helped
solve the following 7x + 3 = 24 x=?
Answers
We have to solve the equation for x. The equation is:
\(7x+3=24\)Let's subtract "3" from both sides to get:
\(\begin{gathered} 7x+3=24 \\ \text{ -3 = -3} \\ ------- \\ 7x=21 \end{gathered}\)To isolate and solve for x, we divide both sides by 7, shown below:
\(\begin{gathered} 7x=21 \\ \frac{7x}{7}=\frac{21}{7} \\ x=3 \end{gathered}\)The correct answer is x = 3
when dividing 592 by 9.25, how many zeros will be placed in the dividend?
A: one
B: two
C: three
D: four
Answers
While you are dividing by a decimal you play a zero until it is the same place a the dividend
In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.
Hypertension by Obesity Level
Obesity Level
Hypertension Low Average High
Yes 34 30 51
No 119 99 82
a) What is the probability of an adult having hypertension?
b) What is the probability of an adult having hypertension and being classified as a low level of obesity?
c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?
d) What is the probability of an adult being classified as a high or average level of obesity?
e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?
f) Are an adult's hypertension status and obesity categorization independent
Answers
The probability of an adult having hypertension is 0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is 0.444.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.
b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.
c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.
d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.
e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.
f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).
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Scott wants to ride his all terrain vehicle on a trail that is 30 miles long. If Scott rides at a constant rate of 15 mph, how long will it take him to ride the whole trail?
A. 2 hr.
B. 3 hr.
C. 5 hr.
D. 8 hr.
Answers
Answer:
3hr
Step-by-step explanation:
Answer:
2 hrs.
Step-by-step explanation:
30 miles of 15 mph.
(of means divided)
30 divided by 15 = 2 (hrs)
What are the solutions to 3(x + 2)(x - 9) = 0?
Select all that apply.
2
-9
-2
-3
9
Answers
Answer:
(3)+1. 12-2=9+1 so 9 is the answer
Please help: Given x=3, y=4, dy/dt=7, solve for dx/dt.x^2-3xy=9y
Answers
Solution:
Given the equation:
\(\begin{gathered} x^2-3xy=9y\text{ --- equation 1} \\ \text{where} \\ \frac{dy}{dt}=7 \\ x=3,\text{ y=4} \end{gathered}\)Required: solve for dx/dt.
\(\frac{dy}{dx}=\frac{dy}{dt}\times\frac{dt}{dx}\text{ ---- equation 2}\)Step 1: Solve for dy/dx
From equation 1,
\(\begin{gathered} x^2-3xy=9y \\ \frac{d(x^2-3xy)}{dx}=\frac{d(9y)}{dx} \\ 2x-3\mleft(y+x\frac{d}{dx}\mleft(y\mright)\mright)=9\frac{dy}{dx} \\ \Rightarrow9\frac{dy}{dx}+3x\frac{dy}{dx}=2x-3y \\ \therefore\frac{dy}{dx}=\frac{2x-3y}{9+3x} \end{gathered}\)Step 2: Evaluate dy/dx.
Recall that x=3, y=4.
Thus,
\(\begin{gathered} \frac{dy}{dx}=\frac{2(3)-3(4)}{9+3(3)} \\ =\frac{6-12}{9+9}=-\frac{6}{18} \\ \Rightarrow\frac{dy}{dx}=-\frac{1}{3} \end{gathered}\)Step 3: solve for dx/dt.
From equation 2,
\(\begin{gathered} \frac{dy}{dx}=\frac{dy}{dt}\times\frac{dt}{dx} \\ \end{gathered}\)Recall that
\(\begin{gathered} \frac{dy}{dx}=-\frac{1}{3} \\ \frac{dy}{dt}=7 \end{gathered}\)Thus,
\(\begin{gathered} \frac{dy}{dx}=\frac{dy}{dt}\times\frac{dt}{dx} \\ \Rightarrow-\frac{1}{3}=7\times\frac{dt}{dx} \\ -\frac{1}{3}=7\frac{dt}{dx} \\ \Rightarrow21dt=-dx \\ \text{hence,} \\ \frac{dx}{dt}=-21 \end{gathered}\)Hence,
\(\frac{dx}{dt}=-21\)1. James and Alexis simplified the expression 5 + 42 - 6/3. James' said the answer is
10, while Alexis' said the answer is 19. Who is correct? How do you know? How
should you apply the order of operations to this problem to simplify?
Answers
Answer:
19
Step-by-step explanation:
5 + 4^2 - 6/3
= 5 + 16 - 2
= 21 - 2
= 19
Make use of one of De Morgan's laws to write the given statement in an equivalent form.
She did not visit France and she did not visit Italy.
Answers
The statement "She did not visit France and she did not visit Italy" using De Morgan's laws will be C. She did not cost France if a only if she did not visit Italy.
What is De Morgan law about?The complement of the product of all terms is equal to the complement of each term added together. Similarly, the product of the complements of each term equals the complement of the sum of all the terms.
The intersection of their complements is the complement of the union of two sets, and the union of their complements is the complement of the intersection of two sets.
In conclusion, the correct option is C.
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Is it 2 or 3?
Thank you!
Answers
Answer:
3
Step-by-step explanation:
Find the limit of f as or show that the limit does not exist. Consider converting the function to polar coordinates to make finding the limit easier. f(x,y)
Answers
Answer:
\(\lim_{(x,y) \to (0,0)} \frac{x^2 \sin^2y}{x^2+2y^2} = 0\)
Step-by-step explanation:
Given
\(f(x,y) = \frac{x^2 \sin^2y}{x^2+2y^2}\)
Required
\(\lim_{(x,y) \to (0,0)} f(x,y)\)
\(\lim_{(x,y) \to (0,0)} f(x,y)\) becomes
\(\lim_{(x,y) \to (0,0)} \frac{x^2 \sin^2y}{x^2+2y^2}\)
Multiply by 1
\(\lim_{(x,y) \to (0,0)} \frac{x^2 \sin^2y}{x^2+2y^2}\cdot 1\)
Express 1 as
\(\frac{y^2}{y^2} = 1\)
So, the expression becomes:
\(\lim_{(x,y) \to (0,0)} \frac{x^2 \sin^2y}{x^2+2y^2} \cdot \frac{y^2}{y^2}\)
Rewrite as:
\(\lim_{(x,y) \to (0,0)} \frac{x^2 y^2}{x^2+2y^2} \cdot \frac{\sin^2y}{y^2}\)
In limits:
\(\lim_{(x,y) \to (0,0)} \frac{\sin^2y}{y^2} \to 1\)
So, we have:
\(\lim_{(x,y) \to (0,0)} \frac{x^2 y^2}{x^2+2y^2} *1\)
\(\lim_{(x,y) \to (0,0)} \frac{x^2 y^2}{x^2+2y^2}\)
Convert to polar coordinates; such that:
\(x = r\cos\theta;\ \ y = r\sin\theta;\)
So, we have:
\(\lim_{(x,y) \to (0,0)} \frac{(r\cos\theta)^2 (r\sin\theta;)^2}{(r\cos\theta)^2+2(r\sin\theta;)^2}\)
Expand
\(\lim_{(x,y) \to (0,0)} \frac{r^4\cos^2\theta\sin^2\theta}{r^2\cos^2\theta+2r^2\sin^2\theta}\)
Factor out \(r^2\)
\(\lim_{(x,y) \to (0,0)} \frac{r^4\cos^2\theta\sin^2\theta}{r^2(\cos^2\theta+2\sin^2\theta)}\)
Cancel out \(r^2\)
\(\lim_{(x,y) \to (0,0)} \frac{r^2\cos^2\theta\sin^2\theta}{\cos^2\theta+2\sin^2\theta}\)
\(\lim_{(x,y) \to (0,0)} \frac{r^2\cos^2\theta\sin^2\theta}{\cos^2\theta+2\sin^2\theta}\)
Express \(2\sin^2 \theta\) as \(\sin^2\theta+\sin^2\theta\)
So:
\(\lim_{(x,y) \to (0,0)} \frac{r^2\cos^2\theta\sin^2\theta}{\cos^2\theta+\sin^2\theta+\sin^2\theta}\)
In trigonometry:
\(\cos^2\theta + \sin^2\theta = 1\)
So, we have:
\(\lim_{(x,y) \to (0,0)} \frac{r^2\cos^2\theta\sin^2\theta}{1+\sin^2\theta}\)
Evaluate the limits by substituting 0 for r
\(\frac{0^2 \cdot \cos^2\theta\sin^2\theta}{1+\sin^2\theta}\)
\(\frac{0 \cdot \cos^2\theta\sin^2\theta}{1+\sin^2\theta}\)
\(\frac{0}{1+\sin^2\theta}\)
Since the denominator is non-zero; Then, the expression becomes 0 i.e.
\(\frac{0}{1+\sin^2\theta} = 0\)
So,
\(\lim_{(x,y) \to (0,0)} \frac{x^2 \sin^2y}{x^2+2y^2} = 0\)
Find the surface area of a cylinder pls
Answers
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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I need helpppp I’ll give BRAINLY please help
Answers
Answer:
I this its the second one I'm not sure .
Please help me I suck at math
Answers
Answer:
She should multiply by 10
list the reactants when limestone reacts to produce calcium chloride,water and carbondioxide
Answers
Answer:
The completed reaction is
CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑
PLEASE HELP AS SOON AS POSSIBLE
Answers
Answer:
B
Step-by-step explanation:
Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.
29.4.3 Quiz: Parabolas with Vertices at the Origin
Question 5 of 10
The equation below describes a parabola. If a is negative, which way does the
parabola open?
y=ax²2²
O A. Right
B. Down
OC. Up
OD. Left
SUBMIT
Answers
The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.
The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.
When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.
To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.
For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.
In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.
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Segment QR has endpoints q(1,6) and R ( -7,3) . Find the midpoint of the segment
Answers
Mid-point of a segment having extreme ends as (h, k) and (p, q) is given by,
\((\frac{h+p}{2},\frac{k+q}{2})\)
If the coordinates of the extreme ends are Q(1, 6) and R(-7, 3),
Mid-point of the segment QR will be,
\([\frac{1+(-7)}{2},\frac{6+3}{2}]=(-3,\frac{9}{2})\)
Therefore, mid point of the segment QR will be \((-3,\frac{9}{2})\).
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1. Which of the following expressions is equal to m3?
m. 3
m + m + m
3
m. m. m
Answers
Answer:
m +m+m is equal to M3. hope it helps
Answer:
m.m.m
Step-by-step explanation:
I'm going to assume m3 signifies m³. If this be the case, then;
m.3 = m×3 = 3mwhere as
m+m+m = 3mbut
m.m.m = m×m×m = m³Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answers
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
A point is plotted on a coordinate grid at (-3, 4). How far is the point from point (0, 0)?
Answers
The point at (-3, 4) is at a distance of 5 units from the point (0, 0).
How far is the point from (0, 0)?For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:
distance = √( (x₁ - x₂)² + (y₁ - y₂)²)
In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:
distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5
The distance is 5 units.
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Find the numerical value of the log expression.
log a = -1
log b = -6
log
a²
64c4
log c = 3
Answers
The numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) is 10 when log a = -1, log b = -6 and log c = 3.
Given that,
We have to find the numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) when log a = -1, log b = -6 and log c = 3.
We know that,
The use of a logarithm can be applied to solve issues that cannot be resolved using the concept of exponents simply. A logarithm is simply a different way to define exponents.
So,
Take the logarithm expression that is \(log\frac{a^2}{b^4c^4}\)
= \(log\frac{a^2}{b^4c^4}\)
= log a² - log(b⁴c⁴) [ from \(log\frac{x}{y}\) = log x-log y ]
= log a² - (log b⁴ + log c⁴) [ from log (xy) = log x + log y ]
= 2log a - 4log b - 4log c [ from log xⁿ = nlog x ]
= 2( -1) - 4(-6) - 4(3)
= -2 + 24 - 12
= 24 - 14
= 10
Therefore, The numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) is 10.
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The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is multiplied by 1/343. B. The volume of the sphere is multiplied by 1/49. C. The volume of the sphere is multiplied by 1/7 . D. The volume of the sphere is multiplied by 1/21 . E. The effect on the volume of the sphere cannot be determined.
Answers
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
give me all the answers i will give you more than 50 points
Answers
Answer:
1. H
2. D
3. G
4. J
5. A
6. C
7. B
8. E
9. F
10. I
11. 420
12. 8
13. 5
14. 3
15. 660
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to remember that 24 hours = a day and 1 minute = 60 secs and finally 60 min = 1 hour
1. H
2. D
3. G
4. J
5. A
6. C
7. B
8. E
9. F
10. I
11. 420
12. 8
13. 5
14. 3
15. 660
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
Which expression is a possible leading term for the polynomial function graphed below?
Answers
Like wise, option 2 is not the answer because it has a negative symbol.
This leaves us with option 4, 22x^9 as the right answer.
Convert 10 pounds and 12 ounces to ounces.
Answers
Answer: 172 ounces
Step-by-step explanation:
We are given 10 pounds and 12 ounces to convert to ounces.
There are 16 ounces in 1 pound.
We can create a proportion to find out how much ounces 10 pounds is.
10 pounds / x ounces = 1 pound / 16 ounces
We need to solve for x by isolating the variable x.
10/x = 1/16
10 = x/16
10 * 16 = x
160 ounces = x
so 10 pounds is equivalent to 160 ounces. But we are not done yet.
We were asked to convert 10 pounds and 12 ounces.
So add together the ounces to find the total ounces:
160 ounces + 12 ounces = 172 ounces.