The velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.
The velocity of a satellite in orbit around Earth can be found using the formula:
v = √(G * mp / r)
where G is the gravitational constant [tex](6.67 \times 10^{-11} Nm^2/kg^2)[/tex], mp is the mass of Earth ([tex]5.97 \times 10^{24}[/tex] kg), and r is the orbital radius of the satellite ([tex]7.3 \times 10^4[/tex] m).
Substituting the given values into the formula, we get:
[tex]v = \sqrt{(6.67 * 10^{-11} * 5.97 *10^{24} /(7.3*10^4)}[/tex]
v ≈ 73.8856 x 10³ m/s
Therefore, the velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.
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Which image shows a plane slicing a double-napped cone to produce a hyperbola?
Answer is D
The second image in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.
The plane sliced a third double-napped cone to produce a hyperbola
The second image in the diagram is a hyperbola.
As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone.
What is the slant angle?The slant angle of a pick is defined as the angle between the axis of the pick and the normal direction of the rock surface being cut by the pick.
This has a very important implication.
The plane cuts both cones of the double-napped cone.
The third double-napped cone in two hyperbolas.
Thus, The plane sliced a third double-napped cone to produce a hyperbola.
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Identify the slope and y-intercept of each of the following lines. Then graph each line.
8y = -2x + 32
First rewrite the equation in slope intercept form
slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]
[tex]\rightarrow \sf 8y = -2x+32[/tex]
[tex]\rightarrow \sf y =\dfrac{ -2x+32}{ 8}[/tex]
[tex]\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}[/tex]
[tex]\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4[/tex]
comparing with y = mx + b
slope: -1/4 and y-intercept: 4x-intercept: ( then y will be 0 )
[tex]\hookrightarrow \sf -2x + 32 = 0[/tex]
[tex]\hookrightarrow \sf -2x = -32[/tex]
[tex]\hookrightarrow \sf x = 16[/tex]
In order to graph the line
plot x = 16 on the x-axis coordinate: (16, 0)plot y = 4 on the y-axis coordinate: (0, 4)Then using a scale/ruler draw a straight line through this points.Graph:
Compare to slope intercept form
slope=m=-1/4The dot plot shows the number of library books borrowed by a group of children.
A dot plot whose number line is labeled Number of books borrowed. There is 1 dot above 0, 2 dots above 1, 4 dots above 2, 4 dots above 3, 6 dots above 4, 3 dots above 5, 5 dots above 6, 3 dots above 7, 1 dot above 8, and 1 dot above 9.
Select from the drop-down menus to correctly complete the statement.
The distribution of data is
approximately normal
skewed left
skewed right
, with a mode of
4
6
8
9
, and a range of
4
6
8
9
Answer:
Approximately normal
Mode: 4
Range:9
Step-by-step explanation:
The data is pretty evenly spread, the data isn’t pushed to the left or right giving the answer of approximately normal.
Mode: The number that occurs the most is the mode. This means that 4 would be the answer because it has the most dots.
Range: To find the range subtract the smallest number from the biggest number. In this case you would get 9-0 (this is because no data is recorded for 10) which equals 9.
I hope this helps! :)
3x+4 = 4(2x+9)
Please Help I CANT DO THIS!!!
Answer:
x=(14+sqrt(88))/6=(7+sqrt(22))/3=3.897 can i get brainliest?
A triangle has an area of 600 square feet. The height of the triangle is 20 feet. The base of the triangle is
Answer: 60
Step-by-step explanation:
Area = ½base × height
600 = ½b × 20
600/20 = ½b
Base = 30 × 2
Point Q is located on the coordinate grid at (− − 9.73, −3.32). In which quadrant is point Q
located?
Answer:
The third quadrant
Step-by-step explanation:
Point Q is located in the third quadrant because the values for both x and y are negative
Margo used 78 square yards of fabric to make 52 dresses last year. She used the same amount of fabric to make each dress. How many square yards of fabric did Margo use to make each dress?
The amount of square yards of fabric that Margo used to make each dress is; 1.5 sq. yds
How to Solve Algebra word Problems?We are told that;
Last year, she used 78 yd² to make 52 dresses
We are told that she used the same amount of square yards for each dress.
Thus, to find the square yards of fabric that Margo used to make each dress, we just divide 52 by 78.
Square yards used for each fabric = 78/52 = 1.5 sq. yds
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Solve this
[tex]4\left(5x-2\right)=2\left(9x+3\right)[/tex]
Answer:
Solution of equation ( x ) = 7Step-by-step explanation:
In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.
Solution : -
[tex] \quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )[/tex]
Step 1 : Removing parenthesis :
[tex] \quad \longrightarrow \:20x - 8 = 18x + 6[/tex]
Step 2 : Adding 8 from both sides :
[tex] \quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:20x = 18x + 14[/tex]
Step 3 : Subtracting 18 from both sides :
[tex] \quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \:2x = 14[/tex]
Step 4 : Dividing with 2 on both sides :
[tex] \quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }[/tex]
On further calculations we get :
[tex] \quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}[/tex]
Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
4 ( 5x - 2 ) = 2 ( 9x + 3 )4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]4 ( 35 - 2 ) = 2 ( 63 + 3 )4 ( 33 ) = 2 ( 66 )132 = 132L.H.S = R.H.SHence, Verified.Therefore, our value for x is correct .
#Keep LearningAnswer:
7[tex] \: [/tex]
Step-by-step explanation:
In the above question, we have to solve the equation and find the value of x. So,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 4(5x-2)=2(9x+3) }}} \\ \\ [/tex]
Using distributive property we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 20x-8=18x+6 }}} \\ \\ [/tex]
Adding (-18x) to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 20x-8 + ( - 18x)= \cancel{18x}+6 + \cancel{( - 18x) }}}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad 2x-8=6 }}} \\ \\ [/tex]
Now Adding 8 to both sides we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 2x-8 + 8=6 + 8 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2x=14 }}} \\ \\ [/tex]
Dividing both sides by 2 we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{2x}{2} = \frac{14}{2} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad x=7 }}} \\ \\ [/tex]
Therefore,
The value of x is 7Which of the following estimates at a 95% confidence level most likely comes form a small sample?
OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.
Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.
Answer:
$1349.75
Step-by-step explanation:
Use the equation for volume of a cylinder - pi * radius^2 * height
Halve the diameter to find the radius - 1.5 / 2 = 0.75 ft
Find the volume of the cylinder - pi * 0.75^2 * 30 = 53.0143760293 cubic feet or ft^3
Multiply volume by cost per cubic foot - 53.014... * 25.46 = 1349.746013706
Round to nearest cent = $1349.75
:)
Ayuda es mi examen y no me sale :cry:
a)4
b)3
c)7
d)1
Answer:Answer C) 7
Step-by-step explanation:
M= -14-20+32
-34 + 32
M=-2
N= 19-32+22
N = 19-10
N = 9
M + N = -2+9
M+N = 7
Answer c
16. Levi has two pieces of decorative tapes, one x cm long and the other x(x+1)
cm long. To decorate an album, she wants to cut them up to produce many
pieces of decorative tapes that are all of the same length, with no left overs.
a. Express in terms of x the greatest possible length, in cm, that she can cut
them into.
b. The difference in length between the two tapes is 4 cm. What is the value of
c. Hence, or otherwise, how many smaller decorative tapes can she produced in
all?
Determine if the given relation is function or not. Give its domain and
range.
2. {(4, 2), (4, 3), (-2, 4)}
Answer:
NoStep-by-step explanation:
According to the definition of the function each domain should have a uniqe range.
We have same domain of 4 with two different ranges 2 and 3.
It makes the relationship one-to-many, which can't be a function
Step-by-step explanation:
The rule is
A relation is said to be a function if every domain has an unique range
y=f(x)Here
f(4) has 2 values 2,3 hence it's not an function
In 2014, a toy store sold 11,816 stuffed animals. In 2015, the toy store sold 24,380 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
.A basket that contains 12 apples costs
$3.75. What is the price for a basket that
contains 18 apples?
Answer:
$5.63
Step-by-step explanation:
We can form a ratio to solve this problem
12:3.75
18/12 = 1.5 times rate
1.5(12):1.5(3.75)
18:5.625, rounded to 5.63
Answer:
$5.63
Step-by-step explanation:
Divide the dollar over the apple.[tex]$3.75/12=0.3125[/tex] cent per apple. Now multiply it with 18 apples.
[tex]18 apples * 0.3125 cent = $5.625[/tex] rounding that up to cents so $5.63
Write 7/16+3/16 in simplest form.
Answer:
Step-by-step explanation:
Remark
Normally you would have to make sure that the bottoms of each fraction to be added would be the same. In this question, they are, so nothing further to getting the bottoms the same has to be done,
Solution
answer = 7 / 16 + 3 / 16
answer = (7 + 3) / 16
answer = 10/16
Both top and bottom are even numbers so you can divide both top and bottom by at least 2.
10/2 = 5
16 / 2 = 8
So answer = 5/8
The function y=-16t^2 +36 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds
does the water droplet hit the ground?
Answer:
1.5 seconds
Step-by-step explanation:
plug 0 in for y
0=-16t^2+36
then slove for t
-36=-16t^2
-36 / -16 = 9/4
9/4=t^2
square root of 9/4 is 3/2 or 1.5
t=1.5
order the steps to solve -3x + 2.4 =19.2
Answer: -5.6
Step-by-step explanation: Subtract 2.4 from both sides
Divide both sides by -3
Please hurry!
In the diagram, r || s.
Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from top left, the angles formed with line r are blank, blank, 1, (2 x + 12.8) degrees; with line s are blank, blank, 117.6 degrees, blank.
What is the value of x?
x =
Answer: Angle 1 is 117.6⁰, the alternate angle to 1 is also 117.6⁰
X is 24.8
The Angle 2X + 12.8 = 62.4⁰, the alternate angle to it is also 62.4⁰
Step-by-step explanation: Angle (2X + 12.8 )forms 1180⁰ with Angle 1
180⁰- 117.6⁰ = 2X + 12.8
62.4⁰ = 2X + 12.8
Subtract 12.8 from both sides
49.6 = 2X
X is 24.8⁰
Answer:
X = 24.8
Step-by-step explanation:
Edge
Please help me on this math
Answer:
95
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
you need to read where the line is along the numbers.
Can someone please help me? And please explain your answer afterwards!
Answer:
The answer is (-3,-2)
Step-by-step explanation:
I cant do this right now.
Solve for t.
2 - 16+ = 6(-3t + 2)
Answer...
Ok done. Thank to me >:33
state the domain of f(x) = √x
Answer:
The domain is equal to (x)=√x
(x)=x is x>0x>0
Which statements about the figure must be true? select three options. angledbc is bisected by ray bd. angleabc is bisected by ray bd. bc = one-halfac line segment d b is-congruent-to line segment b c 2mangledbc = mangleabc
We can see that the statements that about the figure that must be true in the following:
∠ABC is bisected by ray BD.BC = One-half of AC2 ∠DBC = ∠ABC.What is angle?An angle actually refers to the figure that is formed when two rays share a common endpoint that is called vertex. Also, when two planes intersect, they also form angles.
Thus, we can see that the above options are the three options that makes the figure true.
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Rewrite the following expressions without parentheses or negative exports
Answer:
Simplfied format with no parentheses or negative exponents: [tex]\frac{15y^5}{3x^{10}}[/tex]
Timmy drank 2 quarts of water yesterday. He drank twice as much water today as he drank yesterday.
How many cups of water did Timmy drink in the two days
Answer:
24 cups or 6 quarts
Step-by-step explanation:
2 x 2 = 4 4 + 2 = 6
6 x 4 = 24
5200 at 7.36%for 54 months
Answer:
i am not 100% sure but i think
Step-by-step explanation:
20,666.88 i believe that is the answer
I NEED HELP WITH THIS ASAP AND PLEASE
I will give Brainliest!
A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score.
Equation: y = mx + b
Statistics:
r2 = 0.83
r = 0.91
Parameters:
m = 10.90
b = 31.55
Answer the following questions based on the information given above.
If a person studies 4.5 years, what is the single value that is the best predicted test score? Assume that there is a significant linear correlation between years of study and test score.
83.0
80.6
49.1
53.35
Answer:
2.9 years
Step-by-step explanation:
80.6
I know that’s right because I took the test.
What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in the box.