Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, then its radius is 69,912 km.
Tangential speed is defined as the measure of the circumference of the circular path the object is moving along divided by the value of the amount of time it took to complete one rotation.
tangential speed = C/t
where C = circumference
t = time it took to complete one rotation
Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, solve for the circumference of Jupiter.
C = tangential speed x time
C = 12,293 m/s (9.9259 hours)(3600s/hr)
C = 439,268,719.3 m
Using the formula for circumference, solve for the radius of Jupiter.
C = 2πr
r = C / 2π
r = 439,268,719.3 m/2π
r = 69,911,788.03 m
r = 69,912 km
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Answer:
D. 69,912 km
Step-by-step explanation:
-1/6 + (-3/7) = please help
Answer:
-0.595
Step-by-step explanation:
..
Given f(x)= 3(2−x), what is the value of f(−4)?
The value of f(-4) is 18 because
3(2+4)
6+12=18
If h(x)=|1-7x|, find each value… 23-h(9)
Answer:
-41
Step-by-step explanation:
h(x) = | 1-7x
First, calculate the value for the function for x = -9
h(-9) = |1--7x|
h(-9) = |1+63|
h(-9) = |64|
h(-9) = 64
23-h(-9) = 23-64 = -41
Hope this helps ;0
Solve each equation. Check each solution. 2a + 1 / 6 + a/2= a-1/3
The solution of the given equation 2a + 1 / 6 + a/2 = a-1/3 is a = -1
In this question, we have been given an equation.
[tex]\frac{2a+1}{6}+\frac{a}{2} = \frac{a-1}{3}[/tex]
We need to find the solution of given equation.
[tex]\Rightarrow \frac{2a+1}{6}+\frac{a}{2} = \frac{a-1}{3}\\\\\Rightarrow \frac{2(2a+1)+6a}{12}=\frac{a-1}{3}\\\\\Rightarrow \frac{4a+2+6a}{12}=\frac{a-1}{3}\\\\ \Rightarrow \frac{10a+2}{4}=a-1\\\\\Rightarrow 10a+2=4a-4\\\\\Rightarrow 6a=-6\\\\\Rightarrow a=-1[/tex]
We need to check above solution.
Substitute a = -1 in LHS of given equation.
2a + 1 / 6 + a/2
= [2(-1) + 1 / 6] + [-1/2]
= (-1/6 - 1/2)
= -(4/6)
= -2/3
Substitute a = -1 in RHS of given equation.
a-1/3
= (-1 - 1)/3
= - 2/3
So, LHS = RHS
Therefore, the solution of the given equation 2a + 1 / 6 + a/2 = a-1/3 is a = -1
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Determine whether each infinite geometric series diverges or converges. 1/64 + 1/32 +1/16 + . . . .
A geometric series exist as the totality of an infinite number of terms that contain a constant ratio between consecutive terms.
The infinite geometric series 1/64 + 1/32 +1/16 + . . . . diverges.
What is an infinite geometric series?The result of an endless geometric sequence exists an infinite geometric series. There would be no conclusion to this series. There would be no conclusion to this series. The infinite geometric series has the general form a1 + a1r + a1r² + a1r³+…, where r is the common ratio and a1 is the first term.
The equation be S = a1/(1-r), where s is the total, a1 is the series's first term, and r is the common ratio, is a general formula for calculating the sum of an infinite geometric series. The formula a2/a1, where a2 is the second term in the series and a1 is the first term in the series, can be used to determine the common ratio.
Let the sequence be 1/64 + 1/32 + 1/16 + . . . .
a(first term) = 1/6
r(common ratio) = a2/a1 = (1/32) / (1/64)
= (64/32) = 2
Since, | r | > 1, the infinite geometric series diverges.
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Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle. Explain your reasoning.
square
A quadrilateral (square) may always be used to create a square in a circle. Because squares have right angles at each vertex, every pair of opposing angles in a square is complementary and inscribed in a circle. This is an unavoidable characteristic of squares.
If the form in question is a square, each pair of adjoining angles is supplementary and inscribed in a circle. This is owing to the presence of right angles at each vertex of the square. This means that the assertion can never be proven false.
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Let x be a binomial random variable with p = 0.1 and n = 10. calculate the following probabilities
The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]
q = 1 - p = 1 - 0.10 = 0.90
Let x be a binomial random variable with p = 0.1 and n = 10.
The probabilities from the binomial probability mass function P(x ≤ 2) will be
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸
P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937
P(x ≤ 2) = 0.9298
Your question was incomplete but the complete question is given below.
Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.
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Pls Solve
find a. ga+q=r
The value of a for the given equation is a=(r-q)/g.
The given equation is ga+q=r.
We need to find the value of a from the given equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, ga+q=r can be solved for a as follows:
⇒ga=r-q
⇒a=(r-q)/g
Therefore, the value of a for the given equation is a=(r-q)/g.
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Find the next term of the following sequence.
9, 6, 4,
Answer:
Step-by-step explanation:
Differences are 3 less then 2 less.
So, the next term would be 4-1 = 3.
opy the vectors. Then find each sum or difference.
→w + →z
The components of the two vectors are added and subtracted to produce the addition and subtraction vector PQ. i.e. →PQ = →Q + →P and →PQ = →Q - →P
A vector, which denotes the mathematical and geometrical direction of the provided quantity, is a quantity with both magnitude and direction.
For example : Velocity, Displacement etc.
Let's start by assuming that,
P(x,y,z) and Q(u,v,w)
Now, we need to find the vector addition and subtraction
Addition of vectors to give →PQ
→PQ = →Q + →P
= (ui + vj + wk ) + (xi + yj + zk)
= (ui + xi ) +(vj + yj) + (wk +zk)
= (u+x) i + (v + y) j + (w + z)k
= →PQ
Similarly, Subtraction of vectors to give →PQ
→PQ = →Q - →P
= (ui + vj + wk ) - (xi + yj + zk)
= (ui + vj + wk - xi - yj - zk)
= (ui - xi ) +(vj - yj) + (wk -zk)
= (u-x) i + (v - y) j + (w - z)k
= →PQ
For example : Let P(1,2,1) and Q ( -1, -2,4)
Then, Addition →PQ = →Q + →P
= (1i + 2j + 1k ) + (-1i + (-2)j + 4k)
= (1-1) i + (2 -2) j + (1 + 4)k
= oi+0j +5j
= 5j
Subtraction →PQ = →Q - →P
= (1i + 2j + 1k ) - (-1i + (-2)j + 4k)
= (1+1) i + (2 +2) j + (1 - 4)k
= 2i+4j -3j
Hence, the vector PQ addition and subtraction is given by the addition & subtraction of the components of the two vectors.
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Solve the system of inequalities
Answer:
1. x < 4
2. x > 1
3. x < 5
Step-by-step explanation:
State the property that justifies each statement.
If x/2=7 , then x=14 .
According to the given data the property justifies statement is: Multiplication Property of Equality.
What is the Equality Multiplication Property?According to the Multiplication Property for Equations, an equation can be multiplied as well as divided by the exact number upon every of the equation's sides without changing the solution.
How do you demonstrate equality's multiplication property?If a = b, then a/c = b/c where c is greater than zero. In other words, if two expressions are equal and subsequently multiply or divide (except for 0) the same constant by both, the two sides will remain equal.
According to the data:x/2=7
x = 14
Multiplication Property of Equality is :
If a = b,
Multiply constant on both sides.
a * c = b * c
so ,
in the given sum x/2 = 7
multiplying this equation by 2 * x/2 = 7 * 2
= x = 14
According to the given data the property justifies statement is: Multiplication Property of Equality.
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what is g(r) = -5+13 when g(3)
The function g(3)'s expression is 8, which is
The supplied function is defined by a single expression, as per the query. Calculate the value of the other function using the provided expression.
In light of this, g(r) = -5 + 13 = 8
Additionally, the computed value can also be used as the value of the function expression g(3).
Consequently, the value of the function provided is 8.
Describe function.The relationship between the dependent and independent variables is explained by the function. For the functions, it has a collection of values that may be connected using the domain technique.
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A ticket to see your favorite baseball team costs $31.55. That price decreases by $0.21 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 22 games. What is the price of a ticket after the team loses 22 games?
Answer:
The price of a ticket after the team loses 22 games is $26.93
Step-by-step explanation:
Original value = $31.55
value decrease per game lost = $0.21
equation uses C and L
C = 31.55 - 0.21L
22 games lost
C = 31.55 - 0.21(22)
C = 31.55 - 4.62
C = 26.93
C = $26.93
five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths
The number according to the given statement is x<-0.55.
Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths.
A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.
Let us assume the given number be x.
According to the given statement,
Five and three-tenths of a number means 5.3x.
And two and seven-tenths means 2.7.
So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7. ......(1)
It is also given that three and three-tenths times a number means is 3.3x.
And one and six-tenths means 1.6.
So, three and three-tenths times a number plus one and six-tenths means 3.3x+1.6 .......(2)
Now, we will substitute equation (1) less than equation (2) according to the given statement is
5.3x+2.7<3.3x+1.6
Further, we will subtract 2.7 from both sides, we get
5.3x+2.7-2.7<3.3x+1.6-2.7
5.3x<3.3x-1.1
Now, we will subtract 3.3x from both sides, we get
5.3x-3.3x<3.3x-1.1-3.3x
2x<-1.1
Now, we will divide both sides by 2, we get
2x/2<-1.1/2
x<-0.55
Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths" is -0.55.
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3 consecutive integers that equal 21
Answer: 6,7,8
Step-by-step explanation:
how to solve 4x² -12x
Answer:
[tex]4x\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]x^{y+z}=x^yx^z\\x^2=xx\\=4xx-12x\\=4xx-4\cdot \:3x\\=4x\left(x-3\right)[/tex]
what is 10% of 17 because i don't know and i'm 4th grade.
Use distributive property to rewrite (3+8)15
By using distributive property 15(3 + 8) 15 11 = 165 both approaches yield the same conclusion.
Distrubutive Property Formula : a(b+c)=a b+a c
The distributive property is also known as the distributive law of multiplication over addition and subtraction. By its very name, the procedure implies that something will be divided or distributed. According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. Subtraction also belongs to the scope of this distributive law, which is expressed as A (B - C) = AB - AC. The distribution of operand A among the other two operands is seen from this.
A (B + C) = AB + AC represents the distributive property of multiplication over addition.
15(3+8) = (15.3) + (15.8)
15.11 = 45 + 120
165 = 165
Using the law of BODMAS, we can now attempt to solve the expression. The solution is as follows. We will first add the figures in brackets, and then we will multiply this total by the figure outside of the brackets.
Hence, using distributive property, it follows that 15(3 + 8) x 15 = 165. As a result, both approaches yield the same conclusion.
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Given: ∠1 and ∠2 form a linear pair; m∠2 + m∠3 = 180 prove: ∠1 is congruent to ∠3
Based on the linear pair postulate, the statements and the reasons for the proof are explained below.
What is the Linear Pair Postulate?The linear pair postulate states that if two angles form a linear pair, then both angles are supplementary, and therefore have a sum of 180 degrees.
The proof that states that angle 1 and angle 3 are congruent angles is shown below:
Statement 1. ∠1 and ∠2 are a linear pair
Reason: Given
Statement 2: ∠1 and ∠2 are supplementary
Reason: Linear Pair Postulate
Statement 3: m∠1 + m∠2 = 180°
Reason: Definition of Supplementary Angles
Statement 4: ∠2 = ∠4
Reason: Given
Statement 5: ∠3 = ∠4
Reason: Vertical Angles Theorem
Statement 6: ∠2 = ∠3
Reason: Corresponding angles theorem
Statement 7: m∠2 = m∠3
Reason: Corresponding angles are congruent
Statement 8: m∠1 + m∠3 = 180
Reason: Supplementary angle theorem
Statement 9: <1 and <3 are supplementary
Reason: Definition of supplementary angles
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in 2008, the world record for swimming the 50 m style event was 21.3 four seconds supposing the athlete swim at a con stamp rate what was his speed round your answer to the nearest hundredth.
Athlete swam at a constant rate, his speed in m/s is 2.343 m/s
What is Speed?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.
The formula for speed is as straightforward as dividing a distance by a time. We may define speed as the rate of change of position of an item in any direction by taking the distance traveled and dividing it by the time.
Given,
the distance covered = 50m
total time taken = 21.34s
Speed = distance / Time
speed = 50/ 21.34
speed = 2.343 m/s
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the value of 97 - 2 x (16-4)?
Answer:
73
Step-by-step explanation:
97 - 2 × (16 - 4) ← evaluate parenthesis
= 97 - 2 × 12 ← evaluate multiplication
= 97 - 24 ← evaluate subtraction
= 73
Answer:
73
Step-by-step explanation:
97 - 2 x (16-4) =
97 - 2 x (12) =
97 - 24 =
73
14. In science class, students weighed different
amounts of clay. Miguel's weighed
4.361 ounces, Kim's weighed 2.704 ounces,
Simon's weighed 5.295 ounces, and
Victoria's weighed 8.537 ounces.
A. How many ounces of clay did Miguel
and Victoria have in all?
B. How many ounces of clay did Kim and
Simon have in all?
Answer:
A:12.898
B:7.999
Step-by-step explanation:
A: 4.361+8.537
B:2.704+5.295
The measures of two vertical angles are 5y + 10 and 2y + 16. Find the measure of both angles.
Answer:
20
Step-by-step explanation:
We know that two vertical angles are equal to each other.
Then
First, We have to solve the equation 5y + 10 = 2y + 16 for y.
After that ,we can easily find the measure of the angles by substituting y by its value in their expression.
SOLVING THE EQUATION :
5y + 10 = 2y + 16
⇔ 5y - 2y = 16 - 10
⇔ 3y = 6
⇔ y = 2
Determining the measure of the angles :
angle 1 → 5(2) + 10 = 20
angle 2 → 2(2) + 16 = 20
sin 0 <0, tan 0 <0 the angle lies in which quadrant
Answer: quadrant 4 (IV)
Step-by-step explanation:
Help me with this. I am really stuck.
By the Hypotenuse Leg theorem, the two triangles are congruent. That is, ΔBXA ≅ ΔBYA
From the question, we are to prove that ΔBXA ≅ ΔBYA
From the Hypotenuse Leg theorem which states that "two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side".
From the given information,
BX ⊥ XA.
ΔBXA is right triangle with hypotenuse AB
Also,
BY ⊥ YA.
ΔBYA is right triangle with hypotenuse AB
∴ The hypotenuses of the triangles are congruent
Also, from the given information,
XA is congruent to YA
XA and YA are the legs of the right triangles.
Hence, by the Hypotenuse Leg theorem, the two triangles are congruent. That is, ΔBXA ≅ ΔBYA
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find the distance between each pair of points.
F(3,6), G(7,-4)
Answer: the distance is (4,2)
Step-by-step explanation: it takes from 3 to seven 4 1s. and 6 -4 will be 2
hope this helps
2(3+6)+6-2=?
Solve the problem step by step
Answer:
13
Step-by-step explanation:
first use PEMDAS= P= Parentheses E= Exponents M= Multiplication D= Division A= Addiction S= Subtraction.
(3+6)+6-2=
9+6-2=
15-2=
13
Add 3+6 which is 9
Add 3+6 which is 9then add 9+6 equal to 15
Add 3+6 which is 9then add 9+6 equal to 15finally subtract 2 from 15
Add 3+6 which is 9then add 9+6 equal to 15finally subtract 2 from 15boom that's how you do it
Answer:
22
Step-by-step explanation:
Use Pemdas
P means parenthesis so add the numbers in the parenthesis
3 + 6 = 9
2(9) + 6 - 2 =
Next is E, but there are no exponents so now there is M
multiply 2 times 9, you will get 18.
18 + 6 - 2 =
So next is A which is addition, add 18 + 6
18 + 6 = 24.
24 - 2
And lastly, S which is subtraction.
24 - 2 = 22
So the answer is 22
1 Use the number line to find the coordinate of the midpoint of JP. K L M + -7-6-5-4-3-2-1 0 1 2 3 4 5 6 N P
The coordinate of the midpoint of JP is -1
How to find the coordinate of the midpoint of JP?On the number line, we have the following coordinates
J = -7
P = 5
The coordinate of the midpoint of JP is calculated using
Midpoint = 1/2 * (J + P)
This gives
Midpoint = 1/2 * (-7 + 5)
Evaluate the sum
Midpoint = 1/2 * -2
Evaluate the product
Midpoint = -1
Hence, the coordinate of the midpoint of JP is -1
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4,000 is blank times much as 4
Answer: 1000
Step-by-step explanation:
4000/4
Answer:
1000
Step-by-step explanation:
blank can be written as x. since this is a multiplication problem we need to the opposite of multiplying, which is dividing. rewrite the problem as 4000/4=x
solve by dividing 4000 by 4 to get 1000
