Answers
The positive value of the distance between the two objects
is [tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The formula to calculate the gravitational force between two objects
is [tex]F_g = \frac{GM_1M_2}{r^2}[/tex] where r is the distance between the objects M is the individual masses and G is the gravitational constant.
Solving for r would result in two values one positive and one negative and distance can not be negative so we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex].
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt \frac{GM_1M_2}{F_g}[/tex].
[tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
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Related Questions
***PLEASE HELP I'M TIMED***
Let f(x)=e^x and g(x)=x+6. What are the domain and range of (g0f)(x)? domain: x > 0 range: y > 0 domain: x > 6 range: y > 0 domain: all real numbers range: y > 6 domain: all real numbers range: all real numbers\
Answers
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
It is not D!!!! it is not all real numbers for both! I got it wrong!
Step-by-step explanation:
edge 2021
i had answered saying it was D but then I got it wrong, so I can't just delete my answer. But I can say it is absolutely not D.
N(t) = 8950 times (0.7)^2t
Answers
Answer: t = 0
Step-by-step explanation:
Expand 8950×0.7²: 4385.5t
8950(0.7) ²t
8950×0.49t = 4385.5t
N(t) = 4385.5t
N(t) - 4385.5t=0
Factor N(t) - 4385.5t: t (N - 4385.5)
t (N - 4385.5) =0
t=0
Make up an equation of the form y = kx +b, the graph of which passes through the following points:
P (4, 1) and Q (3, –5)
Answers
Answer:
y=6x-23
Step-by-step explanation:
Step-by-step explanation:
m = (y2 - y1)/(x2-x1)
m = (-5 -1)/(3-4) = -6/-1 = 6
y = 6x + b
then
slope point form
y - y1 = m (x - x1)
y - 1 = 6 (x - 4)
y - 1 = 6x - 24
y = 6x - 23
Two cards are chosen at random from a standard 52-card deck. What is the probability that the first card is a heart and the second card is a 10
Answers
The probability that the first card is a heart and the second card is a 10 is 1/51.
What is the probability?Probability with Replacement is used for questions where the outcomes are returned to the sample space again. This means that once the item is selected, it is replaced in the sample space, so the number of elements of the sample space remains unchanged.
The following combinations are possible:
When we choose first card, total no. of card is 52 and card of heart is 13
so the probability of the first card to be heart is
P(1)= 13/52
= 1/4
When we choose second card, total no. of card is 51 and card of 10 is 4
so the probability of the first card to be 10 is
p(2)= 4/51
So the final probability is
= P(1)* P(2)
= 1/4 * 4/51
= 1/51
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Direction: Choose the letter of the correct answer and encircle the letter that corresponds to it.
1. The measures of two angles of a quadrilateral are 100° and 130°. If the other two angles are
congruent, find the measure of each angle.
A. 50° B. 55° C. 60° D. 65°
2. If the sum of the measures of the interior angles of a regular polygon is 9 000°, how many sides
does it have?
A. 50 sides B. 51 sides C. 52 sides D. 53 sides
3. The measure of the exterior angle of a regular polygon is 20°. How many sides does it have?
A. 12 sides B. 14 sides C. 16 sides D. 18 sides
4. The measures of the exterior angles of an octagon are m°, 2m°, 3m°, 4m°, 5m°, 6m°, 7m°, and 8m°.
What is the value of m?
A. 9 B. 10 C. 11 D. 12
MATH 7 QUARTER 3 Week 6
MATH 7 QUARTER 3 WEEK 6 Page 2 | 7
5. Three angles of a pentagon are 105°, 135° and 120°. Find the other two angles if they are in the
ratio 2:3.
A. 72° and 108° B. 72° and 109° C. 73° and 108° D. 73° and 109°
Answers
Answer:
1) D =65
2) C = 52
3) D =18
4) B =10
5) A = 72 and 108
Step-by-step explanation:
1) D =65
2) C = 52
3) D =18
4) B =10
5) A = 72 and 108
HELP!!!
Marta bakes 3 types of cake: chocolate, fruit, and sponge. The recipe for each cake includes flour and sugar and she uses 3.3kg of flour and 3.1kg of sugar in total.
Each chocolate cake uses 225 g of flour and 300g of sugar
Each fruit cake uses 320g of flour and 250g of sugar
Each sponge cake uses 400 g of flour and 325g of sugar
Marta sells chocolate cakes for $12, fruit cakes for $10, and sponge cakes for $8 and makes a total of $114
How many of each cake does she make?
(Answer in the back of the book: 4 chocolate, 5 fruit, 2 sponge cakes)
Answers
The three equations for this problem are:
The total amount of flour used: 3.3kg = (225g/cake) * (number of chocolate cakes) + (320g/cake) * (number of fruit cakes) + (400g/cake) * (number of sponge cakes)The total amount of sugar used: 3.1kg = (300g/cake) * (number of chocolate cakes) + (250g/cake) * (number of fruit cakes) + (325g/cake) * (number of sponge cakes)The total revenue from sales: $114 = ($12/cake) * (number of chocolate cakes) + ($10/cake) * (number of fruit cakes) + ($8/cake) * (number of sponge cakes)Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z
so the
first equation can be written as 3.31000 = (225x) + (320y) + (400z)second 3.11000 = (300x) + (250y) + (325z)and third one 114 = (12x) + (10y) + (8*z)let's use the third equation to get the value of x,y and z:
x = (114 - 10y - 8z) / 12y = (114 - 12x - 8z) / 10z = (114 - 12x - 10y) / 8If you get the values and substitute, then the answer would be:
4 chocolate cakes, 5 fruit cakes, 2 sponge cakes
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HELP!!! this is graded and no links plzzzzz!!!!!
Answers
Answer:
88cm^2
Step-by-step explanation:
Area of the rectangle: base x height
Area of parallelogram: base x height
Area of the shaded part: area of rectangle -area of parallelogram:
12x10-4x8=120-32=88
The cafeteria sold 8 more turkey sandwiches than ham sandwiches. They sold 12 sandwiches in all. How many turkey sandwiches did the cafeteria sell?
Answers
Answer:The cafeteria sold 2 Ham sandwiches and 10 Turkey sandwiches
Step-by-step explanation:
Let the number of Ham sandwiches be rep as x
and turkey sandwiches be x+8
such that the equation to solve the question since total amount of sandwiches sold is 12 becomes '
x + x+8=12
2x+8=12
2x=12-8=44
x=4/2=2
Therefore number of ham sandwiches sold is 2
and number of turkey sandwiches sold is x+8=2+8=10
Help
Gcse Foundation.
Answers
Redraw the triangle just 1/2 the size
Answer:
Answer is in the image attached.
Step-by-step explanation:
the product of 4 and f, increased by 9
Answers
Answer:
4f+9 or 4×f +9
Step-by-step explanation:
This is what the equation would look like. (: I hope that helps!
BROO PLS SOMEONE HELP IM SO CONFUSED
The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31
Answers
The 30th term of the arithmetic sequence is 265
What is an arithmetic sequence in math?
Arithmetic sequences are those in which each term is increased by the addition or subtraction of a constant k. In contrast to a geometric sequence, where each term rises by being multiplied by or divided by a constant k,A series of numbers is considered to be an arithmetic progression or sequence if there is a constant difference between the terms. Consider the mathematical progression with a common difference of 2 in the numbers 5, 7, 9, 11, 13, and so on.An is equal to a1 + d(n - 1), where d is the common difference across terms in the series, and a1 is the first term in the sequence.This is an arithmetic sequence since there is a common difference between each term. In this case, adding 9 to the previous term in the sequence gives the next term. In other words, [tex]a_{n}[/tex]= [tex]a_{1}[/tex]+ d ( n - 1 )
Arithmetic Sequence: d = 9
This is the formula of an arithmetic sequence.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + d ( n - 1 )
Substitute in the values of [tex]a_{1}[/tex] = 4 and d = 9
[tex]a_{n}[/tex]= 4 + 9 ( n - 1 )
[tex]a_{n}[/tex]= 4 + 9n - 9
[tex]a_{n}[/tex] = 9n - 5
.30th term = [tex]a_{n}[/tex] = [tex]a_{1}[/tex]+ d ( n - 1 )
= [tex]a_{30}[/tex]= 4 + 9 ( 30 -1 )
[tex]a_{30}[/tex]= 4 + 9 x 29
[tex]a_{30}[/tex]= 265
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WILL MARK YOU BRAINLIEST PLEASE HELP ASAP
Answers
Answer:
29.5m because it is rectangular finger and one path is loss .loss Parth is triangle
Decide if the following statement is
valid or invalid.
If the base of a triangle is 3 and its
height is 4, then its area is 6. This
triangle has an area of 6, so its
base is 3 and its height is 4.
Answers
Step-by-step explanation:
the area of a triangle is base times height divided by 2.
A = (b × h) / 2
so, when b = 3 and h = 4, then
A = (3 × 4) / 2 = 12 / 2 = 6
correct.
now the other way around
we know the area (6).
=> 6 = (b × h) / 2
=> 12 = b × h
well, b=3, h=4 is one possible solution for this.
but so is e.g. b=2, h=6, or b=12, h=1, or ...
and that is just the natural numbers. then there are rational numbers and so on.
therefore there is an infinite set of possible (b, h) pairs that satisfy the equation 12 = b × h.
therefore the statement that we can conclude out of a given triangle area of 6 that b must be then 3 and h must be 4 is wrong.
simple - it is one equation with 2 variables and has therefore usually not just one solution.
Please solve it's worth 12 points
Answers
Answer:
65
Step-by-step explanation:
260/4=65
65*4=260
The granola is selling for $2.88 and weighs 18 ounces. The
flaked cereal is selling for $4.32 and contains 24 ounces.
Which is the better buy? Show your thinking.
Answers
PLEASE HELP!!!
Will give brainliest!
Answers
The value of h'(2) = 50.
What do you mean by function?
A relation between a collection of inputs and outputs is known as a function. In other word, it is a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
here we are given a function h(x)
here h(x) = - 5f(g(x)) ------(i)
and we are given the value of
g(2) =3 ; f(2) = 1 ; g'(2) = -2
f(3) = 4 ; f'(3) = 5 ; f'(2) = 6.
and we need to find the value of h'(2).
here f(x), g(x) and h(x) are the function of x and f'(x), g'(x) and h'(x) denotes the derivative of f(x), g(x) and h(x) respectively.
so we are given ,
h(x) = - 5f(g(x))
differentiating with respect to x both side
h'(x) = -5 f'(g(x).g'(x).
at x =2,
h'(2) = [tex]-5*f'(g(2))*g'(2)[/tex]
and we know g(2) = 3 and g'(2) = -2.
so,
h'(2) = [tex]-5*f'(3)*-2[/tex]
h'(2) = [tex]-5*5*-2\\[/tex] ( as f'(3) = 5 )
h'(2) = 50
so Option C is correct, the value of h'(2) = 50.
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4x² - 20x = -21????????
Answers
Answer:
x=7/2
x=3/2
Step-by-step explanation:
Answer: ax^2+bx+c=0
(4x^2+20x+20=0)
Step-by-step explanation:
It may not make sense but...
Add -20 to both sides of the equation.
4x-20x=-20
Add -20 to both sides of the equation.
4x^2-20x+20=-20+20
Simplify the expression.
4x^2+20x+20=0
I hope this was what you were looking for. :) If not I'm still glad to help.
There are 30 drummers competing in the Battle of the Bands this year. Next year, 5 of the drummers will leave and some new drummers will join the competition. If d is the number of drummers who will join the competition, which expression(s) represent the number of drummers in the competition next year.
Answers
Answer: 25 + d
Step-by-step explanation:
Since there are 30 drummers competing in the Battle of the Bands this year and, 5 of the drummers will leave the following year, the number of drummers left will be gotten by the expression:
= 30 - 5
If If d is the number of drummers who will then join the competition, therefore, the expression that represent the number of drummers in the competition next year will be gotten as:
= 30 - 5 + d
= 25 + d
Therefore, the expression is 25+d.
Janine collects sports equipment. 1/2 of her collection are sports balls. Of the sports balls 1/4 of them are softballs. How much of the sport equipment are softballs?
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
convert this to a decimal.
1/2 = 0.50
1/4 = 0.25
0.5 x 0.25 = 0.125
0.125 x 8 = 1
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
D
Step-by-step explanation:
Answer:
D: because the factor, fraction, decimals wont be multiply hundreadths of it specially when you add 27 so D: is my answer
Step-by-step explanation:
Does this help?
Which strategies can be used to find the product of 1,587 x 1,000? Select two options
Answers
Answer:
Step-by-step explanation:
you can multiple and get 1,587,000]and then you divide to get 8 [tex]\sqrt{1587000[/tex]How do you know if a linear system has one solution?
Answers
A linear system has one solution if the slopes of the equation of lines are different.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
A linear equation is equal to the equation of a line, which has the form:
y = mx +b
where m = slope
If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
Example:
2x + 5y = 34 .. .. (equation 1)
x + 5y = 32 .........(equation 2)
Change the equation 1 and equation 2 into slope-intercept form:
y = (-2/5) x + 34/5 ..... (equation 1a)
y = (-1/5) x + 32/5 ..... (equation 2a)
The slope of equation is (-2/5) while equation 2 is (-1/5), which is different from equation 1. Hence, the system of linear equation has one solution.
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what's the correct option? i'm stuck
Answers
Answer:
g
Step-by-step explanation: it is basically the same problem with the opisate meaning
Find the value of y. Write your answer in decimal form. Round your answer to the nearest whole number.
Answers
Answer:
c
Step-by-step explanation:
heres a trick it says whole number so 10 is th eonly answer that is rounded
How many possible real solutions are there?
Answers
The number of real solution varies according to the degree of the equation and the nature of the equation, The answer is dependent on degree and nature.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
example:
A linear equation (degree 1) has one real solution.
A quadratic equation (degree 2) can have either two real solutions, one real solution or no real solutions, as it depends on the discriminant of the equation, as I explained in my previous answer.
A cubic equation (degree 3) can have one to three real solutions, depending on the coefficients of the equation.
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dividing decimals up to 2 decimal places
1.0.2÷6.11
Answers
Answer:
its 6.11
6.11 ÷ 1 = 6.11
Calculated to 2 decimal places.
6. 1 1
1 6. 1 1
− 6
0 1
− 1
0 1
− 1
0
Please Help! I need you to solve the inequality for the box. This is grade 7 math.
Answers
Answer:
Oki! Mizuki here to help!
The answer you fill in the box is 6!
Step-by-step explanation:
3.5s + 5.75 [tex]\leq[/tex] 26.75
3.5s + 5.75 - 5.75 [tex]\leq[/tex] 26.75 - 5.75
3.5s [tex]\leq[/tex] 21
s [tex]\leq[/tex] 6
hey! can y’all help with this?
Answers
Answer:
11
Step-by-step explanation:
Answer:
A) [tex]\sqrt21[/tex]
Step-by-step explanation:
First you have to plug in the numbers into the Pythagreom Theroum:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]\sqrt{5} ^{2} +4^{2} =c^{2}[/tex]
(C represents you hypotnuse)
Then you square the numbers:
5 + 16 = [tex]c^{2}[/tex]
(If your confused why [tex]\sqrt5^{2}[/tex] just came out to be 5, the square and the square root cancel each other out)
Then you add the numbers:
21 = [tex]c^{2}[/tex]
Then you sqaure root both sides to cancel out the [tex]c^{2}[/tex]:
c = [tex]\sqrt21[/tex]
What is the sign of 4.3•(-3.2)•0?
Answers
Answer:
no sign (not positive or negative)
Step-by-step explanation:
The value of the expression
4.3 ⋅ (-3.2) ⋅ 0
is 0, as the value of any number multiplied by zero is 0.
The number zero is neither positive or negative; hence there is no sign.
1.12 less the product of m and n.
2.the product of two numbers decreased by their sum.
3.two thirds of a number subtracted from the square of the same number.
4.the sum of the product and quotient of two numbers decreased by 10.
5.the cube of the sum of a number and 2.
6.twice the difference between four times b and twice x.
7.the sum of 5 times y and 6 divided by twice a.
8.three-fourths of x added to thrice of x is equal to twelve.
Pa Help
Answers
Answer:
1.12 < mn
xy - x + y
2/3x - x²
xy + x/y - 10
(x + 2)³
2(4b - 2x)