The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance
Answers
3,840,000 / 4 = 960,000
If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.
One-fourth of this distance is found by dividing the total distance by 4.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
Suppose the one-fourth of this distance will be x,
(1/4)× 3.84 x 10⁶ =x
x=(3.84 x 10⁶)/4
x=960,000
Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000
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Related Questions
in general, the strictest standards with the lowest acceptable levels are the
Answers
Answer:
Step-by-step explanation:
are the what???
6.Find the value of x. Don't forget your reasons.
(x-38)
Answers
Answer:
x = 109
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
The lower base angle is supplementary to the upper base angle on the same side, thus
x + x - 38 = 180 , that is
2x - 38 = 180 ( add 38 to both sides )
2x = 218 ( divide both sides by 2 )
x = 109
Shack Homebuilders Limited is evaluating a new promotional campaign that could increase home sales. Possible outcomes and probabilities of the outcomes are shown next Additional Sales in Units 70 90 150 Possible Outcomes 40 .30 .30 Ineffective campaign Normal response Extremely effective Compute the coefficient of variation. (Do not round intermediate calculations. Round your answer to 3 decimal places.) Coefficient of variatio
Answers
The formula to calculate the coefficient of variation is given as the ratio of the standard deviation to the mean. Coefficient of Variation = Standard Deviation / Mean.
It is represented as a percentage to make comparisons between sets of data with different units of measurement.Let's calculate the coefficient of variation for the above-given data. Coefficient of variation= Standard Deviation / MeanWe can calculate the standard deviation by using the following formula: σ = √ ∑ (Pᵢ (Xᵢ – μ)²).
For our given data, the calculation of standard deviation is shown below:σ = √ (.30(70-100)² + .30(90-100)² + .40(150-100)²)σ = √ (63,000)σ = 251.97We can calculate the mean by using the following formula: Mean = ∑ (Pᵢ Xᵢ)For our given data, the calculation of Mean is shown below:Mean = (.30 x 70) + (.30 x 90) + (.40 x 150)Mean = 25 + 27 + 60Mean = 112Coefficient of variation= Standard Deviation / Mean Coefficient of variation= 251.97 / 112Coefficient of variation = 2.247 rounded to 3 decimal places. Therefore, the coefficient of variation is 2.247.
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After a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C'(15,0). Choose the scale factor for this dilation.
Answers
The scale factor is 2.5
for B = 10/4 = 2.5
for C = 15/6 = 2.5
the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.
Answers
We are given a regression model: test score = 800 - 8(student-teacher ratio)
If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).
So, the new predicted test score is:
test score = 800 - 8(new ratio)
= 800 - 8(old ratio + (-2))
= 800 - 8(old ratio) - 8(-2)
= 800 - 8(old ratio) + 16
Therefore, the predicted effect on the test score is an increase of 16 points.
So, the answer is (d) the test score will increase by 16 points.
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Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to the line that y=2x+4
Answers
is the parallel line has a slip of 2 then your line has a slip of 2.
Please help me respond this question
Answers
The translation is defined as follows:
The function moves 5 units upward.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For this problem, 5 was added to the parent function, hence the function was translated 5 units upward.
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The center of a circle is at (10, -4) and its radius is 11.
What is the equation of the circle?
(x-10)² + (y + 4)² = 11
O (x-10)² + (y + 4)² = 121
(x + 10)² + (y - 4)² = 11
O (x + 10)² + (y - 4)² = 121
Answers
Answer:
(x - 10)² + (y + 4)² = 121
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (10, - 4 ) and r = 11 , then
(x - 10)² + (y - (- 4) )² = 11² , that is
(x - 10)² + (y + 4)² = 121
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answers
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
what is the mass of a falling rock on planet earth if it weigh 147N
Answers
Answer:
m
=
15
k
g
Step-by-step explanation:
Explanation:
Force is given by Newton's second law as the product of an object's mass and acceleration,
→
F
=
m
→
a
.
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
Answers
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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Simplify the radical expression.
\(\sqrt[3]{-64a^{3} }\)
Answers
Answer:
Step-by-step explanation:
factor - 64 : -4 * -4 * -4
factor a^3: a * a * a
Cube root (-64*a^3) =
Cube root (-4*-4*-4 * a * a * a)
Answer: -4 * a
Reason. You are taking the cube root of a number. For every number under the root sign, number by 3 equal factors. Take one outside the root sign. Throw the other two away.
Please help, this was due yesterday. Ill give brainliest :) the red numbers (in order from top to bottom, left to right) are 112, 116, 234, 166, 400.
Answers
please answer asap (50 points)
only write down what I gotta put in the box and explanation
psa please complete the rest on my profile (only a few others )
Answers
Answer:
b=21
Step-by-step explanation:
-3=3(-8)+b
-3=-24+b
+24 +24
21=b
Hopes this helps
what is the quotient of 4/5 divide by 1/3
Answers
Answer:
12/5
Step-by-step explanation:
4/5 divided by 1/3
=4/5*3/1
=4/5*3
=12/5
PLZ HELP HIVE BRAINLYWho got the better deal in the Columbian Exchange: the Europeans or the Native Americans? Why?
Answers
Answer:
the Europeans got the better deal from the Colombian Exchange
Step-by-step explanation:
In general, one would have to say that the Europeans got the better deal from the Columbian Exchange in that it facilitated the eventual establishment of colonies in the New World. That's not to say that it was all one-way traffic; however, the people of the New World undoubtedly benefitted in both the short and long-term by the introduction of crops and livestock. But such benefits proved to be more keenly felt by subsequent waves of European settlers than America's indigenous population.
After all, it wasn't much good for Native-Americans to have all these crops and all this livestock if, in due course, there'd be less land available for their use due to increased colonization. The indigenous peoples also suffered terribly from the introduction of diseases such as measles and smallpox, for which they had no natural immunity. It's difficult, then, to avoid the conclusion that the Europeans got the better deal from the Columbian Exchange (as it was probably intended that they should).
simply -
The Natives did benefit, but only for a short while, and the Europeans benefited the most
Kono Dio Da!!!
if
m =9
3. Let U= {x: X E 2,0 < x < 15) A={ x:x € N and (x - (m+3)(x - (m + 2) = 0}, B = {8,6,7,9} and a. Write set U and set A in roster form. b. Verity: (A - B) # A - BC
Answers
From the calculations, we can see that (A - B) = A - B = A - BC, so the statement is verified.
a. Set U in roster form:
U = {x: x ∈ R, 0 < x < 15}
Set A in roster form:
To find the values in set A, we solve the quadratic equation:
(x - (m + 3))(x - (m + 2)) = 0
Substituting m = 9, we have:
(x - 12)(x - 11) = 0
Expanding the equation:
x^2 - 23x + 132 = 0
Factoring the quadratic equation:
(x - 11)(x - 12) = 0
So, set A in roster form is:
A = {11, 12}
b. Verification: (A - B) ≠ A - B
Let's calculate each side separately:
(A - B) = {x: x ∈ A and x ∉ B}
= {11, 12} - {8, 6, 7, 9}
= {11, 12}
A - B = {x: x ∈ A but x ∉ B}
= {11, 12}
A - BC = {x: x ∈ A and x ∉ B or x ∈ C}
= {x: x ∈ {11, 12} and x ∉ {8, 6, 7, 9}}
= {11, 12}
From the calculations, we can see that (A - B) = A - B = A - BC, so the statement is verified.
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The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.
Answers
The random variable r has a mean μ = 10 and σ = 4. For the variable s, the μ = 7 and σ = 3. The mean of r-s will be obtained by arithmetic subtraction of the μ for r and a. The standard deviation isn't independent since it's obtained by square root of the variance of a distribution. The standard deviation will be obtained by obtained through the square root of the squared sum of σ.
μ (r-s) = μ(r) -μ(s)
μ (r-s) = 10 -7 = 3
σ (r) -σ(s) = √(σ (r))²+ (σ (s))²
σ (r) -σ(s) = √(4²+ 3²)
σ (r) -σ(s) = √(16+ 9)
σ (r) -σ(s) = √25 = 5
thus, the mean is 3 and the standard deviation is 5.
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Kim’s age is twice that of her sister. When you add Kim’s age to her sisters age you get 42. How ils is each sister Write an equation that represents the situation. Explain any variable used
Answers
Step-by-step explanation:
Let Kim's sister age be x.
Kim's age 2x
According to the question :
2x + x = 42
X = 14
Kim's age = 28 years
Kim's sister's age = 14 years
I really need help with this
Answers
The area of each pizza and cost per inch is $12.82 per square inches and $11.304 per square inches respectively.
How to solve area of a circle?Large:
Diameter = 14 inches
Radius, r = 14 / 2
= 7 inches
Area = πr²
= 3.14 × 7²
= 3.14 × 49
= 153.86 square inches
Cost per inch = 153.86 square inches / 12
= 12.8216666666666
Approximately, $12.82 per square inches
Medium:
Diameter = 12 inches
Radius, r = 12/2
= 6 inches
Area = πr²
= 3.14 × 6²
= 3.14 × 36
= 113.04 square inches
Cost per inch = 113.04 square inches / 10
= $11.304 per square inches
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please help me with this
r(-4)=(-4+1)(-4-3)
Answers
Answer: r= 5 1/4
Step-by-step explanation:
Preform the indicated operation.
(2x+y)(3 x² + y)
Answers
Answer:
\(6x^3+3x^2y+2xy+y^2\)
Step-by-step explanations:
\((2x+y)(3x^2+y)\\2x*3x^2+2xy+3x^2y+y*y - Distribute\\6x^3+3x^2y+2xy+y^2 - Simplify\)
Answer:
6x^3 + 2xy + 3x^ 2y + y^2
Step-by-step explanation:
Apply the distributive property of multiplication. First multiply (3x^2 + y) by 2, obtaining 6x^3 + 2xy, and then multiply (3x^2 + y) by y, obtaining
3x^2y + y^2. Finally, combine like terms (if any) in these two results:
6x^3 + 2xy + 3x^ 2y + y^2
Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5. 6 meters,and a height of 7. 2 meters is about 334 cubic meters. Is her estimate reasonable?Explain your reasoning
Answers
Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.
The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
Substituting the given values in the formula, we get:
Volume = 11 meters x 5.6 meters x 7.2 meters
Volume = 449.28 cubic meters
As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.
It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.
In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
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A rectangle is drawn in a coordinate plane with vertices (-2,4),(4,4)(4,0) and (-2,0) which of the following represents the dimensions of the rectangles. A. 1 unit by 3 units B. 2 units by 3 units C. 4 units by 6 units D. 6 units by 8 units
Answers
The cordinates of the vertices if the rectangle are given as (-2,4),(4,4)(4,0) and (-2,0).
Note that the side joining (4,0) and (-2,0) lies on the x-axis from point x=-2 to x=4.
So the length of this side is given by,
\(\begin{gathered} d_1=\sqrt[]{(0-0)^2+(-2-4)^2} \\ d_1=\sqrt[]{(-6)^2} \\ d_1=\sqrt[]{36} \\ d_1=6 \end{gathered}\)Now, for any adjacent side one point should be any of the two above.
Consider the adjacent side joining the coordinates(4,0) and (4,4). The length of the side is given by,
\(\begin{gathered} d_2=\sqrt[]{(4-0)^2+(4-4)^2} \\ d_2=\sqrt[]{(4)^{2+(0)^2}} \\ d_2=\sqrt[]{16} \\ d_2=4 \end{gathered}\)So the rectangle has sides 6 and 4 units.
Therefore, option C is the correct choice.
2/5(10x+25)
Simplify
Brainly
Answers
Answer:
4x+10
Step-by-step explanation:
Find the slope of the line through each pair of points.
(- 12, 20 ). ( 15 ,- 12)
Answers
Answer:
-32/27
Step-by-step explanation:
-12 - 20 -32 -32
----------- = ----------- = ----------
15 - (-12) 15 + 12 27
A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and crawls the second, it takes 110 seconds. If it crawls the first part and walks the second, it takes 100 seconds. Find the lengths of the two parts of the journey.
Answers
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
It cost Jayden $4.80 to send 96 text messages. How much would it cost to send 155 text messages?
Answers
Answer:
$7.75
Step-by-step explanation:
1. Take the cost - $4.80 for the 96 messages, and divide $4.80 by 96 to get the cost per message.
2. 4.80 ÷ 96 = $0.05 per message
3. Take that figure and multiply by 155 messages.
4. 155 × $0.05 per message = $7.75
Hope this helps!
Find the value of the variable. If the answer is not an integer, leave it in simplest radical form.
Answers
Answer:
0ption C is your answer
Step-by-step explanation:
by using Pythagoras law
x²=8²+15²
x²=289
x=√289=17
Use the image to complete the equation below
