1. A spacecraft made 58376 orbits of the Earth and travelled a distance
of 2.656 x 10^8 kilometres.
(a) Calculate the distance travelled in I orbit correct to the nearest kilometre.
(b) The orbit of the spacecraft is a circle. Calculate the radius of the orbit.
We cannot calculate the radius of the orbit using the information provided.
(a) To calculate the distance travelled in one orbit, we need to use the formula that relates the circumference of a circle to its radius, which is given by C = 2πr.
Here, C represents the distance travelled in one orbit, and r is the radius of the orbit.π = 3.14159265..
Given the number of orbits made by the spacecraft is 58376. The distance travelled in one orbit is as follows;
C = 2πr= 2 x π x r= 2 x 3.14159265.. x r= 6.28318531rTherefore, the distance travelled in one orbit is 6.28318531r.
To calculate the distance travelled in one orbit, we need to know the radius of the orbit.(b) The distance travelled by the spacecraft is not given.
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6 - 3x = 5x - 10x = 14
Answer:
X=4
Step-by-step explanation:
The quotient of two numbers is 3 their product is 3 what are the two numbers
Answer:
3 and 1
Step-by-step explanation:
They are the only numbers that could give the right answer.
Brian invests £4700 into his bank account.
He receives 5.5% per year compound interest.
How much will Brian have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
what is the GCF of 20.24and54
What is another way to name line PQ?*
Answer: another way to name line PQ could be QP.
Step-by-step explanation:
A washer machine is filling up with water at a constant rate 3/4 of a gallon and 1/5 of a minute. Don calculated the unit rate to be 3/20 of a gallon per minute what did he do wrong
The unit rate would be
(3/4 gal) / (1/5 min)
because the machine is filled with 3/4 gal of water in 1/5 of a minute. Do the arithmetic to get the unit rate of
(3/4 gal) / (1/5 min) = (3/4 • 5) gal/min = 15/4 gal/min
Don's mistake was to multiply 3/4 by 1/5 to get 3/(4•5) = 3/20, but he should have divided by 1/5 instead.
Find the product of ( 2a2– 3b2) and ( a +b2- 3z)
Answer:
[tex]2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z[/tex]
Step-by-step explanation:
[tex](2a^2-3b^2)(a+b^2-3z)[/tex]
Start by distributing the [tex]2a^2[/tex] into all of the terms in between the second parentheses.
[tex]2a^3+2a^2b^2-6a^2z[/tex]
Next, distribute the [tex]-3b^2[/tex] into all of the terms in between the second parentheses.
[tex]-3ab^2-3b^4+9b^2z[/tex]
For the sake of simpler interpretation, I separated the two above, but they are together:
[tex]2a^3+2a^2b^2-6a^2z-3ab^2-3b^4+9b^2z[/tex]
Since the terms are already in descending order, we do not need to rearrange them.
Solve the equation for y.
9x + 3y = -3
Answer:
y = - 1 - 3x
Step-by-step explanation:
thats the asnwer
Write an equation for a rational function with the given characteristics.
Vertical asymptotes at x=−1 and x=4, x-intercepts at (−4,0) and (2,0), horizontal asymptote at y=−3
BRAINLIEST FIRST ANSWER
Answer:
y=-3
Step-by-step explanation:
just tryt if it is correct.
The rational function can be written as: f(x) = -3(x - 4)(x + 2) / ((x - 1)(x + 4))
To write an equation for a rational function with the given characteristics.
1. Vertical Asymptotes: We have vertical asymptotes at x = -1 and x = 4. This means that the function cannot take these values as inputs.
We can represent this by having factors of (x - 1) and (x + 4) in the denominator of our rational function.
2. x-intercepts: We know that the function passes through the points (-4, 0) and (2, 0). This means that the function has factors of (x - 4) and (x + 1) in the numerator.
3. Horizontal Asymptote: We are given that the horizontal asymptote is y = 4.
This means that as x approaches positive or negative infinity, the function approaches y = -3.
We can represent this by having a constant term of 4 in the numerator.
Combining all these pieces, the equation for the rational function can be written as: f(x) = -3(x - 4)(x + 2) / ((x - 1)(x + 4))
This equation satisfies the given characteristics: vertical asymptotes at x = 1 and x = 4, x-intercepts at (4, 0) and (-1, 0), and a horizontal asymptote at y = 4.
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Henry's dog gets 38,6 grams of protein in each meal. How much protein does the dog get in 8 meals?
Answer: 308.8
Step-by-step explanation: 38.6* 8 = 308.8
Sketch a graph of
What is the orientation of the graph?
It is impossible to sketch a graph or determine the orientation of the graph.
Without a specific function or data set provided, it is impossible to sketch a graph or determine the orientation of the graph. The orientation of a graph refers to the direction of the graph and can be described as either increasing or decreasing.
In order to sketch a graph, we must first have a set of data points or a function to plot. Once we have the necessary information, we can plot the points or graph the function and then determine the orientation of the graph.
To determine the orientation of a graph, we look at the direction of the graph as we move from left to right. If the graph is moving upward as we move from left to right, then the orientation is increasing.
If the graph is moving downward as we move from left to right, then the orientation is decreasing. If the graph is neither increasing nor decreasing, then the orientation is said to be undefined.
In summary, the orientation of a graph is determined by the direction of the graph as we move from left to right. Without a specific function or data set provided,
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PLEASE HELP FAST, FINAL IS TODAY!!‼️WILL GIVE BRAINLIEST‼️
The distance of the fish from the hook is: 21 ft
How to find the length of similar triangles?Two triangles are similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.
Thus, using the concept of similar triangles, we can say that:
Let x be the horizontal base length from the fish to the hook and as such, we can say that:
3/5 = 12.6/x
x = (12.6 * 5)/3
x = 21 ft
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There are (35)2 ⋅ 30 leaves on a tree. What is the total number of leaves on the tree?
I need this answers asap
Find the Perimeters of the rectangle whale
degonal is 5cm and lenght is 4cm
Answer:
14
Step-by-step explanation:
First, we have to get the breadth value.
By the pythagoras theoreom,
Diagonal²=length² + breadth²
breadth = √( Diagonal²- length²)
breadth = √( 5² - 4²)
breadth = √9
breadth= 3
Perimeter of a rectangle = 2x ( length + breadth)
= 2 x ( 4 + 3)
= 2 x 7
= 14
If each cube in the rectangular prism measures 1 cubic foot what is the volume of the prism
11 cubic ft That is the answer
Answer:
11 cubic ft
Step-by-step explanation:
Please help with question 57 i don’t understand please I have 100 questions to do by trm
Answer:
12%
Step-by-step explanation:
so you divide 250 by 100
250 / 100 = 2.5
280 / 2.5 = 112
250 is 100%
280 is 112%
her weight raised by 12%
Find the corresponding point on the unit circle for the radian measure given below 0=5π/3
The corresponding point on the unit circle for the angle [tex]\theta = \frac{5\pi}{3}[/tex] is given by: (0,5, -0.866).
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, we have that [tex]\theta = \frac{5\pi}{3}[/tex], hence:
[tex]\cos{\theta} = 0.5[/tex][tex]\sin{\theta} = -0.866[/tex]Thus the point is (0,5, -0.866).
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Nash training for a marathon and decides to run 26 miles every week
Answer:Nash ran 6 miles and walked 20 miles.
Step-by-step explanation:
Note: Consider we need to find the number of miles he ran and the number of miles he walked in the first week.
Total distance = 26 miles every week.
Ratio of the number of miles he ran to the number of miles he walked is 3:10.
Let he ran 3x miles and walked 10 x miles. So,
Total distance = 3x+10x
Divide both sides by 13.
The value of x is 2.
Number of miles he ran = 3(2) = 6 miles
Number of miles he walked = 10(2) = 20 miles
Therefore, Nash ran 6 miles and walked 20 miles in the first week.
can u help with this problem
Answer:
yeet you thought
Step-by-step explanation:
im just as slow as you
40.2 multiplicative inverse
Answer:
the answer is 1/40.2
Step-by-step explanation:
40.2*1/40.2=1
What would the domain of this be in interval notation?
Answer:
Domain: [2, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that we cannot take the 4th root of a negative number, so under the square root, the entire thing can't be negative. This means that the x-value cannot be lower than 2, but can be 2 itself:
[2, ∞)
Find all missing angles.
3
47°
1290
1
95°
m21
=
mz2 =
m23 =
m24 =
Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave?
Answer:
18%
Step-by-step explanation:
9=(p)(50)
9=50p
Divide both sides by 50
9/50=0.18
Remember to move the decimal over
p=18%
11/12 divided by 1/3
in fraction form
Answer:
11/4 or 2 3/4
Step-by-step explanation:
Step 1:
11/12 ÷ 1/3 Equation
Step 2:
11/12 × 3/1 Flip the fraction
Step 3:
11/4 × 1/1 Simplify
Step 4:
11/4 Multiply
Answer:
11/4 or 2 3/4
Hope This Helps :)
Answer:
2 3/4
Step-by-step explanation:
When dividing fraction KCF (Keep, change, flip) is used.
In this problem 11/12 will be kept, the function will be multiplied and 1/3 will be flipped to 3/1.
11 x 3 = 33
12 x 1 = 12
33 / 12 = 2 9/12 = 2 3/4
Help due tommrow!!
Divide. 6 2/3 “ mixed number “ divided by 1/5 “ fraction “
Answer in simplest form
Answer:
100/3 or 33 1/3
Step-by-step explanation:
6 2/3 / 1/5 Improper fraction
20/3 / 1/5 Flip
20/3 x 5/1 Multiply
100/3 or 33 1/3
Answer:
if you want it in a mixed number form, it would be 9 and 1/3 or if you want it in fraction form it would be 28/3
Step-by-step explanation:
6 2/3 x 5 would be the equation in its K.C.F. form
ASAP JUST WORK NO ANSWER
Jim drove 455 miles in 7 hours.
At the same rate, how many miles would he drive in 5 hours?
Given parameters:
Distance covered = 455 miles
Time taken = 7 hours
New time taken = 5 hours
Unknown:
New distance = ?
To solve this problem, we need to define what speed entails.
Speed is a physical quantity and it is distance divided by time.
Speed = [tex]\frac{distance}{time }[/tex]
In this problem, we first find the rate at which Jim is driving;
Speed = [tex]\frac{455}{7}[/tex] = 65miles/hr
Now that we know the rate, we can simply find the new distance;
New distance = speed x new time taken
Input the parameters;
New distance = 65miles/hr x 5hrs = 325miles
Can anyone tell me if this is right if not what is it please !!!!
Answer:
its correct :)
Step-by-step explanation:
The function f(x)= 3/4(10)-x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
function 9 plus 10
Step-by-step explanation:
9-50 = 79
