Answer:
[tex]m_1=\frac{Fd^2}{Gm_2}[/tex]
Step-by-step explanation:
[tex]F=G \left(\frac{m_1 m_2}{d^2} \right) \\ \\ \frac{F}{G}=\frac{m_1 m_2}{d^2} \\ \\ \frac{Fd^2}{G}=m_1 m_2 \\ \\ m_1=\frac{Fd^2}{Gm_2}[/tex]
3x^2 +16x−10=6x−2 algebra 2
Answer:
x= 2/3 or x= −4
Explanation:
3x2+16x−10=6x−2
Step 1: Subtract 6x-2 from both sides.
3x2+16x−10−(6x−2)=6x−2−(6x−2)
3x2+10x−8=0
Step 2: Factor left side of equation.
(3x−2)(x+4)=0
Step 3: Set factors equal to 0.
3x−2=0 or x+4=0
x=2/3 or x= −4
You earn $100 per month and want to save 10% in a savings account.
How much will your monthly contribution be? (Do not include the $ sign in your
response) PLEASE HELPP
The cost of a mobile set is Rs 18000. If Mrs Sharma purchased it with 13% VAT,how much did she pay for it.
To purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.
As given in the question,
Cost of the mobile set Mrs Sharma purchase = Rs 18000
VAT added on purchasing a mobile set is equal to 13%
Amount of VAT on mobile set is equal to
= 13% of 18000
= (13/100) × 18000
= 13 ×180
= Rs 2340
Mrs Sharma needs to pay amount to purchase a mobile set
=18000 + 2340
= Rs 20,340
Therefore, to purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.
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The amount of time Demi spends studying and her test scores have a proportional relationship. Complete the table. __________ Complete the table.
Both of the blanks given in the table can be filled in by the ratio 18/1.
Here, we are given a table as shown in the image given above.
There is a proportional relationship given between Demi's test scores and her studying time.
When she studies for 3 hours, her test score is 54.
Thus, the ratio of her test score to hours studying is - 54/3
= 18/1
Similarly, when she studies for 4 hours, her test score is 72.
Thus, the ratio of her test score to hours studying is - 72/4
= 18/1
Thus, both of the blanks given in the table can be filled in by the ratio 18/1.
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30 Points!!!
AOC and BOD are diameters of a circle, centre O.
Prove that triangle ABD and triangle DCA are congruent by RHS.
Answer:
Answer:
SAS postulate
Step-by-step explanation:
AD (common)
AC = BD (both are diameters)
Angle COD = Ange AOD (vertically opposite angles)
Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)
Therefore, ABD and DCA are congruent by SAS postulate
Step-by-step explanation:
not even 30 points lol it says 18 ANYWAYS hope this helps
f(x) =square root of x -6. find the inverse of f(x) and it’s domain
The equation of the inverse function is f'1(x) = x^2 + 6 and the domain is all set of real numbers
How to determine the inverse functions?The function f(x) is given as
f(x) = √x -6
Rewrite as
y = √x -6
Switch/swap the positions of x and y in the above equation
The equation becomes
x = √y -6
Make y the subject of the formula in the above equation
The equation becomes
y - 6 = x^2
Add 6 to both sides
y = x^2 + 6
Rewrite as an inverse function
f'1(x) = x^2 + 6
Hence, the inverse function is f'1(x) = x^2 + 6
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Answer:
f(×)=(×+6)^2;×>-6 there we go..
Find AC (why do questions have to be at least 20 characters LOL)
Answer:
Step-by-step explanation:
21
Answer: 21
Step-by-step explanation: To solve for AC, you will need to add segments AB and BC together. So, 9+12=21
Need help on finding the domain and range
The domain and the range of the graph are x >= 1 and -∝ < y < ∝, respectively
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The domain
On the graph of the function, we can see that:
The x values start from 1 and it extends indefinitely to the right
This means that the domain is x >= 1
The range
On the graph of the function, we can see that:
The y values extend indefinitely on all sides of the coordinate plane
This means that the range is -∝ < y < ∝
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Write an equation in point-slope form form for the lines that passes through the given point and has the given slope. (3, 2); m = 5
Answer:
y=5x-13
Step-by-step explanation:
1. (3,2) = x,y
2. substitute each x and y digit into y=mx+b format
3. 2=5(3)+b
4. solve for 2=5(3)+b which equals b=-13
5. ANSWER IS SOLVED WHEN ANSWERED IN y=mx+b FORMAT
5. y=5x-13
Find all horizontal asymptotes of the following function.
f(x) =3x² - 48/2x+8
The given function f(x) =3x² - 48/2x+8 has no Horizontal asymptote.
A horizontal asymptote may be defined as a horizontal line at which the graph of the function will appear to meet but will not actually meet. It is a tool to determine the end behavior of the function. We are given the function f(x) = 3x² - 48/2x+8. Now to find horizontal asymptote of this function we first find lim ₓ→∞ f(x) that is
lim ₓ→∞ (3x² - 48)/(2x + 8)
lim ₓ→∞ 3/2(x - 4) = ∞
Now, we calculate lim ₓ→-∞ f(x) that is
lim ₓ→-∞ (3x² - 48)/(2x + 8)
lim ₓ→-∞ 3/2(x - 4) = -∞
Since, both the limits are different therefore function does not have any horizontal asymptote.
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What is the solution to the inequality |2x – 3| > 5?
A) x < –1 or x > 4
B)x < 0 or x > 8
C)0 < x < 8
D)–1 < x < 4
The solution to the inequality |2x - 3| > 5 is: x < -1 or x > 4
Therefore, the correct option is A) x < -1 or x > 4.
Given that we need to find the solution to the inequality |2x – 3| > 5
To solve the inequality |2x - 3| > 5, we can break it down into two cases:
Case 1: 2x - 3 > 5
In this case, we have:
2x - 3 > 5
2x > 5 + 3
2x > 8
x > 4
Case 2: -(2x - 3) > 5
In this case, we have:
-(2x - 3) > 5
-2x + 3 > 5
-2x > 5 - 3
-2x > 2
x < -1 (remember to reverse the inequality when multiplying or dividing by a negative number)
Combining the solutions from both cases, we find that the solution to the inequality |2x - 3| > 5 is:
x < -1 or x > 4
Therefore, the correct option is A) x < -1 or x > 4.
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Select all diagrams that have expressions in corresponding angles.
Answer:
1, 2, 8
Step-by-step explanation:
Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.
1, 2, and 8 are corresponding angles.
Math easy will give brainly and points
A large container is being filled with water at the rate of 2 3/4 per minute
Answer:
5 minutes and 20 seconds
Step-by-step explanation:
basically your equation is: (rate of filling container) x (time to fill container)
- (minus)
(rate of leaking from container) x (time to fill container)
=
(the size of the container in gallons)
--------------------
step 1 - so t = the time in minutes to fill14 gallon container
step 2 - convert 2 3/4 to quarters so:
2 • 4 = 8 and it’s in quarters so 8/4 then
8/4 + remaining 3/4 = 11/4
step 3 - so then you fill in the equation:(11/4)•t - (1/8)•t = 14
step 4 - multiply both sides of the equation by 8:
(11/4) = 2.75 • 8 = 22
(1/8) = 0.125 • 8 = 114 • 8 = 112
so the equation is:
22t - t = 112
step 5 - divide both sides of the equation by 22:
22t / 22 = t
112 / 22 = 5.333
so t = 5.333
step 6 - convert
so 5.333 has a repeating decimal of 0.3 which is 1/3. so to convert that to seconds, take 1/3 of 60:
60 / 3 = 20
so it takes 5 minutes and 20 seconds to fill the 14 gallon container
hope this helps :)
If you have $1400 ).and you spend 1/8of it on school supplies and 1/4 of it on groceries and 5/16 of it on clothes what is the total fraction spent
Answer: 11/16
Step-by-step explanation:
1/8=2/16
1/4=4/16
5/16=5/16
add it all together
A rental company rents a luxury car at a daily rate of $38.48 plus $.50 per mile. Paul is allotted $110 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles.
How many miles can Paul travel on the $110?
Answer:
C=38.48+0.5x
about 143 miles
Step-by-step explanation:
$38.48 base cost plus $.50 per mile, so after x miles, it would be 0.5x
so C=38.48+0.5x
to find how many miles Paul can travel
we set 110=38.48+0.5x
then solve
x=143.04
so Paul can travel about 143 miles
1) Mrs. Martins deposits $2,650 into a savings account. The account earns 6%
interest per year, and the interest is not compounded. How much amount will
be in the account after 9 years?
The amount in the savings account of Mrs. Martins after 9 years will be $4081.
According to the question,
We have the following details:
The amount deposited in the savings account or the principal amount = $2,650
Interest per year = 6%
Time = 9 years
(It is given that the interest is not compounded.)
Now, using the formula of simple interest, we will first find the total interest after 9 years,
Simple Interest (S.I.) = (Principal * Rate * Time)/100
S.I. = (2650*6*9)/100
S.I. = (2650*54)/100
S.I. = 143100/100
S..I. = $ 1,431
Now, the total amount in the savings account would be the sum of the principal amount and the total interest.
So, we have:
Total amount = Principal + S.I.
Total amount = $ (2,650+1,431)
Total amount = $ 4,081
Hence, the total amount in Mrs. Martins's savings account is $ 4,081.
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2(3x +4) -(x-2)
expand and simplify
5x + 10 is the simplified form of the expression 2( 3x + 4 ) - ( x - 2 ).
What is the simplified form of the given expression?Given the expression in question;
2( 3x + 4 ) - ( x - 2 )
To expand and simplify, get rid of the first parenthesis using distributive property.
2( 3x + 4 ) - ( x - 2 )
3x( 2 ) + 4 ( 2 ) - ( x - 2 )
6x + 8 - ( x - 2 )
For the second parenthesis, the negative sign before it affects everything inside it, hence;
6x + 8 - ( x ) - ( - 2 )
6x + 8 - x + 2
Collect like terms
6x - x + 8 + 2
Add 6x and -x
5x + 8 + 2
Add 8 and 2
5x + 10
Therefore, the simplified form of the expression is 5x + 10.
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solve the inequlaity 2(4x+1)<3(2x-3)
The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2
In this question, we have been given an inequality 2(4x + 1) < 3(2x - 3)
We need to solve given inequality.
2(4x + 1) < 3(2x - 3) ..............(Given inequality)
8x + 2 < 6x - 9 .............(simplify both sides of the inequality)
8x + 2 - 6x < 6x - 9 - 6x ............(subtract 6x from both the sides)
2x + 2 < -9
2x + 2 - 2 < -9 - 2 ............(subtract 2 from each side)
2x < -11
2x/2 < -11/2 ................(Divide each side by 2)
x < -11/2
Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2
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michael is one-third of keanus age if the sum of their ages is 52 how old is michael
Answer:
Michael age is 13 and keanus age is 39
Step-by-step explanation:
Michael is 1/3 of keanus age
so Michael is 1 and keanus is 3 so if u add them all up it's 4 so 52 divide by 4 it's 13 so Michael is 13 and if you times three it will be 39, and if u add their age together it adds up to 52 so it's 13
Find the equation of a line that passes through the point (1,-3) and has a gradient of 3.
Leave your answer in the form
a
x
+
b
y
=
c
Where
a
,
b
and
c
are integers.
Answer:
3x+1y=0
Step-by-step explanation:
the equation of a straight line on a graph is y= mx+c
where m is the gradient and c is the y intercept.
we know that the line passes through (1,-3) and has a gradient of 3, therefore we can substitute these values into the equation.
-3 = 3*1 +c
3 = 3+c
c = 3-3 = 0
therefore the equation of this line is y = 3x+0
now we have to write this in the form ax+by=c
3x+1y=0
16
Adrian, Bhamini and Chas share a sum of money.
1
Adrian gets
6
Bhamini gets
of the money.
1
3
Chas gets the rest of the money.
Adrian gets £42
(a) Work out how much money Bhamini gets.
of the money.
Answer: 84
Step-by-step explanation:
Bhamini =
42 x 6 = 25.2
25.2 x 1/3 = 84
Chas =
252.84 - 42 = 126
Bhamini gets £84!
Hope this answered your question, don't ell Mr Gohil I helped you lol.
Answer provided by Zack.
-2 3/7 - 1 2/3 show ur work!please
Answer:
-4 2/21
Step-by-step explanation:
-2 3/7 - 1 2/3
Change to improper fraction
-2 3/7 = -17/7
- 1 2/3 =-5/3
-17/7-5/3
L.C.M=21
-51-35/21
= -86/21
= -4 2/21
Hope it helps..
Please mark brainliest
If the area of a square shaped rug is 81 in², what is the
measurement
of ONE SIDE of the rug?
Answer: 9 inches
Step-by-step explanation:
We know that the area of a square can be solved with the following formula when s is the length of one side. We will plug in our known values and solve:
a = s²
(81) = s²
[tex]\sqrt{81}[/tex] = s
9 in = s
One side of the rug is equal to 9 inches.
Does anyone know how to do this? Or tell me how you do these questions?
The equation of line in slope intercept form can be written as y = mx + c where m is the slope of line and c is the y intercept.
We are given three equations namely y = 2x -2, y = -x + 1 and y = x - 4 and we need to determine the description of equation, slope and y intercept. The equation y = 2x - 2 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 2 and c = -2. Thus, slope is 2 and y intercept is -2. The equation y = -x +1 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = -1 and c = 1. Thus, slope is -1 and y intercept is 1. This equation y = x - 4is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 1 and c = -4. Thus, slope is 1 and y intercept is -4. The graphs of the equation are attached below.
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Subtract 8 1/6-4 5/6. Simplify the answer and write as a mixed number.
PLEASE HELP, I will give brainliest! due soon thank you so much and please give explanation
question 1,2 and 3 thank you
Answer:
8.368, 156.8, 2.52$
Step-by-step explanation:
0.8% of 1,046 is 8.368
to get this first find 80% of 8.368 so you can get 836.8 and then you move it back 2 places to get 8.368
160% of 98 will be 156.8
first split it up into 2 problems for it to be easier
100% of 98
and 60% of 98
100% of 98 = 98
60% of 98 = 9.8*6 = 58.8
98+58.8 = 156.8
For the 3rd one it will be 2.52$ srry gtg soon so can't explain
In the following equation, what would be the most logical first step when solving for z.
Answer:
Multiply 5/2 to both sides
Step-by-step explanation:
Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.
hey! i will give a lot of pts for the answers to these!!
Answer:X squared =4/9 is c
X to the third power is a
X squared =81/46 is b or d
X to the third power is d or b
Use the point and the slope to graph each line. Write the equation of the line. The line contains point (1,-1) and is perpendicular to a line with slope 1
ANSWER ASAP
20 POINTS AND BRAINLIEST IF FIRST
the equation of the line will be x + y = 0 and it is being graphed.
Point on the line = (1, -1)
Slope of the perpendicular line = 1
So, the slope of the line will be
m × 1 = - 1
m = - 1
Equation of the line will be given by:
y - y₁ = m (x - x₁)
y - (- 1) = (- 1) (x - 1)
y + 1 = - x + 1
x + y = 0
We have graphed the equation.
Therefore, we get that, the equation of the line will be x + y = 0 and it is being graphed.
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If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the
square?
Answer:
approximately 31.96 m (you can round to 32m)
Step-by-step explanation:
If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the
square?
find the area with the formula ½ × d ^ 2 Square units, take the square root of the result and find the side, multiply by 4 and you have the perimeter.
AREA1/2 11.3^2 =
1/2 127,69 =
63.845 m²
SIDE√63.845 =
7.99 m
Perimeter7.99 * 4 =
31.96 m