The radius of the Sun is ≈ 865,000 miles and the radius of Earth is ≈ 8,000 miles. For ease since
you can’t use a calculator, let’s make the radius of the Sun = 800,000 miles. How many times
larger is the Sun than Earth?
The sun is larger than the earth times
How to determine how many times larger is the Sun than Earth?The given radii of the sun and the earth are:
Radius of Sun = 865,000 miles
Radius of Earth = 8,000 miles.
For ease of calculation, we have
Radius of the Sun = 800,000 miles
The number of times the sun is larger than the earth is calculated as:
Number of times = Radius of the Sun/Radius of Earth
Substitute the known values in the above equation
Number of times = 800,000 miles/8,000 miles
Evaluate the quotient
Number of times = 100
Hence, the sun is larger than the earth times
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Covert the following decimals to percents.
0.15 =_%
Answer:
15%
Step-by-step explanation:
0.15 x 100 = 15%
find the value of the x for the following 5x - 7 = 18
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
5x - 7 = 18
Step 2: Solve for x
Add 7 to both sides: 5x = 25Divide both sides by 5: x = 5Step 3: Check
Plug in x to verify it's a solution.
5(5) - 7 = 18
25 - 7 = 18
18 = 18
Answer:
.x =5Step-by-step explanation:
5x - 7 = 185x = (18+7)5x = 25divide 5 both sides.
x = 5
Two years ago there were 6 grams of a radioactive substance. now there are 5 grams. how much will remain 2 years from now?
The quantity of the radioactive material which would remain 2 years from now is; 4 grams.
What is the quantity remaining in 2 years?Since, it follows from the task content that after two year, the quantity of the radioactive substance decrease by 1 gram. Consequently, it follows from proportion that the quantity remaining in 2 years from now is; 5-1 = 4 grams.
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Solve for x: two thirds plus one third times x equals two times x
NEED ANSWER ASAP DUE INN THREE HOURS
Hey there! I'm happy to help!
Let's write this equation out.
2/3+1/3x=2x
We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.
2/3+1/3x-2x=0
We subtract 2/3 from both sides.
1/3x-2x=-2/3
We combine our x values.
-5/3x=-2/3
We divide both sides by -5/3.
x=-5
Have a wonderful day and keep on learning! :D
Find a game on the coolmath.com (links to an external site.) site or another math game site and play it, preferably with a child, family member, or friend. give the name of the game and your experience playing it. was it fun? difficult?
To find a math game on coolmath.com or another math game site, you can simply go to the site and browse through the available games. Choose a game that seems interesting to you and fits your skill level. I can recommend a popular math game called "Number Munchers" available on coolmathgames.com.
Number Munchers is an educational game where you navigate a little green character around a grid filled with numbers. Your goal is to eat the correct numbers based on the given criteria, such as multiples of a specific number or prime numbers. The game helps improve math skills while being enjoyable.
The individual experiences with games may vary, as everyone has different preferences and levels of difficulty. I suggest trying it out with a child, family member, or friend and discussing your experiences afterward.
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2x + 6 cm
5(x - 3) cm
Find the length of one side of the equilateral triangle.
Answer:
side = 20 cm
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate the 2 given sides and solve for x
5(x - 3) = 2x + 6
5x - 15 = 2x + 6 ( subtract 2x from both sides )
3x - 15 = 6 ( add 15 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
then length of side is
2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm
Answer:
20 cm
Step-by-step explanation:
Properties of an Equilateral Triangle
Regular polygon with 3 sidesSides lengths are equalInterior angles are equalGiven information
length of one side: (2x + 6) cmlength of second side: 5(x - 3) cmFind value of x
As side lengths are equal, equate the expressions and solve for x.
2x + 6 = 5(x - 3)
⇒ 2x + 6 = 5x - 15
⇒ 2x + 6 + 15 = 5x - 15 + 15
⇒ 2x + 21 = 5x
⇒ 2x + 21 - 2x = 5x - 2x
⇒ 21 = 3x
⇒ 21 ÷ 3 = 3x ÷ 3
⇒ 7 = x
⇒ x = 7
Side lengths
Substitute x = 7 into one of the given expressions.
⇒ length of one side: 2(7) + 6 = 20 cm
How can the graph of f(x) = 1/(- x) - 9 be obtained from the graph of y = 1/x
Answer:
hsjjsjsjjsjjdjjsnnsjsj
2 1 Simplify the expression by combining like terms. i 3n + 6p + 3+n
Answer:
4n + 6p + 3
Step-by-step explanation:
3n + 6p + 3+n
In this equation, 3n + n are like terms. Adding 3n + n together gives 4n
4n + 6p + 3
factor: 2x^2+ 5x-3=0
Answer:
x=1/2or x=−3
Step-by-step explanation:
Given the function f(x)=x2+2x, the value of f(4) is
Answer:
24
Step-by-step explanation:
f(x)=x^2+2x
Let x= 4
f(4)=4^2+2*4
= 16 + 8
= 24
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I. Write 2-7i in polar coordinates on the complex plane.
II. Find (1+i)^8 using DeMoivre's theorem.
(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.
What are polar coordinates?The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.
I. Polar form = (r,θ) = (7.28,254.05°)
z = 2 - i7
r= \(\sqrt{ 2^2+-7^2}\)
= √53
= 7.28
θ = tan^-1 (-7/-2)
=3.5
= 74.05
Point lies in the third quadrant
Hence θ = 180+74.05
= 254.05°
Polar form = (r,θ) = (7.28,254.05°)
II. Z=16
De Moivre's theorem states if
z= r(cos(θ) + i sin (θ)) , then
\(z^2=r^2(cos(n\theta)+ i sin (n\theta))\)
\(r= \sqrt{1^2+1^2}\)
= √2
θ= arc tan (1/1)
= π / 4
z= √2 (cos (π / 4)+i sin (π / 4))
z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8
= (√2 (cos (8π / 4)+i sin (8π / 4)))^8
=16 (cos(2π) + i sin (2π)
=16
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2 x 6 /3 - 2 + 7? im really lost man
Answer:
i got 9
Step-by-step explanation:
if you multyply 2 x 6 = 12
divide that by 3 is 4
4 minus 2 is 2
2+7 = 9
Answer:
your answer is 9
Step-by-step explanation:
2×6/3-2+7
2×6/3=4
4-2+7=9
What are both of these?
We are given a stick that extends from 0 to x. Its length, x, is the realization of an exponential random variable X, with mean 1. We break that stick at a point Y that is uniformly distributed over the interval [0, x]. 1. Write down the (fully specified) joint PDF fx.x (x, y) of X and Y. For 0 < y
The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.
Given:
X ~ Exponential(λ), with mean 1 (λ = 1)
Y ~ Uniform(0, X), for 0 < y < x
To find the joint PDF, we first need to express the PDFs of X and Y.
PDF of X:
fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)
PDF of Y:
fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])
Now, we can find the joint PDF by multiplying these individual PDFs:
fx.x (x, y) = fX(x) * fY(y|x)
Substituting the PDFs:
fx.x (x, y) = (λ * exp(-λx)) * (1 / x)
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x
Therefore, the fully specified joint PDF of X and Y is:
fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.
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Determine the type of fee that will be charged in each situation. John's broker provided him with stock-trading software to manage his trading. Reggie's broker charged him a front-end load of 2.75% when he purchased a fund. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Pete isn't a regular investor. He hasn't bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne's brokerage firm charged her for providing investment information to help her make informed choices.
Answer:
Transaction Fee
- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.
- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.
Non-Transaction Fee
- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.
- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.
- John’s broker provided him with stock-trading software to manage his trading.
Step-by-step explanation:
Got it right on plato :)
Answer:
Transaction fee:
Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.
Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.
Non-transaction fee
Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.
John’s broker provided him with stock-trading software to manage his trading.
Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.
Which statement describes the relationship between x and y in these 2 equations?
Y = 4x Y = x + 4
In y = 4x the value of y is 4 times the value of x, and in y = x + 4 the value of y is 4 more than the value of x.
Thus option D is Correct.
what is linear equation?
A linear equation is an equation in which the highest power of the variable is 1, and the equation can be graphed as a straight line. It is of the form y = mx + b, where m is the slope of the line, and b is the y-intercept, which is the point where the line crosses the y-axis. The variable y represents the dependent variable, while x represents the independent variable.
The relationship between x and y in these two equations is that they both represent a linear equation but with different slopes and y-intercepts.
The first equation, Y = 4x, is in slope-intercept form, where the slope is 4, and the y-intercept is 0. This means that as x increases by 1, y increases by 4, and the line passes through the origin.
The second equation, Y = x + 4, is also in slope-intercept form, where the slope is 1, and the y-intercept is 4. This means that as x increases by 1, y increases by 1, and the line intercepts the y-axis at (0, 4).
Therefore, In y = 4x the value of y is 4 times the value of x, and in y = x + 4 the value of y is 4 more than the value of x
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Complete Question :
Which statement describes the relationship between x and y in these two equations? y = 4x and y = x + 4
A. In y = 4x the value of y is 4 more than the value of x, and in y = x + 4 the value of y is twice the value of x.
B. In y = 4x and in y = x + 4, the value of y is 4 more than the value of x.
C. In y = 4x and in y = x + 4, the value of y is twice the value of x
D. In y = 4x the value of y is 4 times the value of x, and in y = x + 4 the value of y is 4 more than the value of x
4.8y=-28.8
Please help and explain how did you get the answer
Answer: -6
Step-by-step explanation:
you divide
1. 4.8y = -28.8
2. -28.8/4.8
3. y = -6
double check by multiplying 4.8 by -6
Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
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Does anyone knows how to do Algerba II I really need helppp!!! Can someone please help me
Answer:
I know algebra ll
i can help :D
Step-by-step explanation:
Determine the slope-intersept form of the linear equation x/2 - y + 6 =0
Answer: slope =1/2 y intercept (0,6)
Step-by-step explanation: use the slope and y intercept form y=mx + b
20pts circle a has a radius with the length of 5 units. calculate the exact length of the apothem, line segment ah . in your final answer, include your calculations.
The exact length of the apothem, line segment AH, is -5 units.
The apothem of a regular polygon is a line segment that is perpendicular to one of its sides and passes through the center of the polygon, connecting the center of the polygon to the midpoint of the side it is perpendicular to.
In the case of a regular polygon with n sides, the apothem of the polygon is equal to the radius of the polygon divided by the cosine of 180 degrees divided by n.
In the case of a circle, which is a polygon with an infinite number of sides, we can use this formula to calculate the apothem:
Apothem = radius / cos(180 degrees / n)
Plugging in the values given in the problem, we get:
Apothem = 5 / cos(180 degrees / n)
Since the cosine of 180 degrees is -1, we can simplify this equation to:
Apothem = 5 / -1
This gives us a final answer of:
Apothem = -5 units
So, the exact length of the apothem, line segment AH, is -5 units.
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n \triangle NOP,△NOP, \overline{PN}\cong \overline{OP}
PN
≅
OP
and \text{m}\angle P = 50^{\circ}.m∠P=50
∘
. Find \text{m}\angle O.m∠O.
The value of the measure of ∠O in the given triangle will be 65°
What is triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔNOP;
PN ≅ OP
So, ∠O = ∠N
And, Measure of ∠P = 50°
Now,
In the ΔNOP;
The sum of all the three angles are 180°.
The value of the measure of ∠O = x
We get;
∠O + ∠N + ∠P = 180°
Substitute ∠P = 50° and ∠O = ∠N = x we get;
x + x + 50 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
x = 65
Thus, The value of the measure of ∠O will be 65°.
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caroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingrediant will she need. rewrite the recipe so that it will make 4 dozen cookies
recipes:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
MAKES 2 DOZEN COOKIES
Answer:
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups grimly packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoon of baking soda
1/2 teaspoon of salt
Step-by-step explanation:
You just double everything by 2
The ingredients needed to make 4 dozen cookies are written below;
3/2 cup of peanut butter
1 cup vegetable shortening
2½ cups girmly packed light brown sugar
6 tablespoons milk
5½ teaspoon vanilla extract
2 large egg
3 cups flour
3/2 teaspoon baking soda
1/2 teaspoon salt
How much of each ingrediant will she need?Recipe for 2 dozen cookies:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2
3/4 cup of peanut butter × 2
= 6/4 = 3/2
1/2 cup vegetable shortening × 2
= 2/2 = 1
1 1/4 cups girmly packed light brown sugar × 2
= 5/4 × 2
= 10/4 = 5/2 = 2½
3 tablespoons milk × 2
= 6
2 3/4 teaspoon vanilla extract × 2
= 11/4 × 2 = 22/4
= 11/2 = 5½
1 large egg × 2
= 2
1 1/2 cups flour × 2
= 3/2 × 2
= 6/2 = 3
3/4 teaspoon baking soda × 2
= 6/4 = 3/2
1/4 teaspoon salt × 2
= 2/4
= 1/2
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if (x-k) is a factor of the polynomial f(x)=x^2-4 then the value of k is
Answer:
when the ( x-k) is the factor of f(x) value of k= +-2
an airplane flies 2,794 miles in 5.5 hours. what is the speed of the airplane in miles per hour?
Answer:
508 miles per hour
Step-by-step explanation:
First, set up an equation:
miles per hour = # of miles ÷ # of hours
2,794 miles ÷ 5.5 hours = 508 miles/hour
Hope this helps! I'd appreciate brainliest but it's fine if not!
can u pls solve this ?
Select yes or no for each statement regarding the end behavior of the graph below.
Looking at the graph, we can see that it's always crescent, that means when x increases, y also increases.
Also, we can see that when x approaches minus infinity, the graph approaches the x-axis, that means the value of y approaches 0.
Also, when x approaches infinity, the values of y increases towards infinity as well.
Finally, when x approaches 0, the value of y approaches 2 units (where the graph intersects the y-axis).
Therefore, the correct sequence of answers is:
No, Yes, No.
Select the correct answer.
This table represents value of a cubic polynomial function.
Based on the information in the table, which sentence best describes the interval [-2, 1]?
A. The function is increasing on the interval [-2, 1].
B. The function is both increasing and decreasing on the interval [-2, 1].
C. The function is decreasing on the interval [-2, 1].
D. The function is constant on the interval [-2, 1].
The function is both increasing and decreasing on the interval [-2, 1]. The y values decrease from 12 to 0 and then increase to 7.5 through 6. Therefore option B is correct answer.
In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences. German mathematician Peter Dirichlet first offered the modern definition of function in 1837.
Y and x are related in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot have more than one value for f(x). The domain and range of the function are the set of values of f(x) that are produced by the values in the domain of the function, which is the set of values of x. In addition to f(x), other abbreviated symbols for functions of the independent variable x include g(x) and P(x), especially when the nature of the function is ambiguous or unspecified.
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What is the difference?
X-8
3x
-
3х
x2
O
x² – 17x
3x2
x²+x
3x
x² - 178
3х
x²+x
x
3x4
Answer:
\( \frac{ {x}^{2} - 17x}{ {3x}^{2} } \)
hope it help u