Basically all you need to show is –(p-q)=(-p)+q. (1)
Since 0 = (p-q) + (-(p-q)) (additive inverse), we get –p = -q +(-(p-q)). Now substitute for (–p) in (1).
Then m+q-n-p=(m+q)-(n+p) follows. (since -n-p+(n+p) = 0 implies -n-p = -(n+p) (additive inverse))
so technically all u need to show is –(p-q)=(-p)+q. Hope this helps!!
Write the converse of the following statement and determine its truth value:
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
for brainliest
Answer:
The converse is:
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value is:
True
Step-by-step explanation:
The statement can be split into:
p -> If a class has 3 left-handed people and 24 right-handed people,
q -> the ratio of lefties to righties is 1:8
The converse of a conditional statement is:
if q then p
So, we have the converse to be;
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value.
For p, we have.
Ratio = 3 : 24
This can be simplified to.
Ratio = 1 : 8
For q, we have:
Ratio = 1 : 8
Since both are true, then the truth value is true
As it emerges from the cross multiplication performed, the statement is correct.
Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:
1 = 3 8 = X 8 x 3 = X 24 = X
Therefore, as it emerges from the cross multiplication performed, the statement is correct.
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What is the percent change from 125 to 165?
Answer:
32%
Step-by-step explanation:
165/125=1.32
percent change would be 32% because when you add 32 to 100 then divide by 100, you will get the 1.32. and 1.32 is the change in 125 and 165. you would multiply 125 by 1.32 to get 165.
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.
If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:
1 ounce of toppings
Step-by-step explanation:
Wrte 25x10^6 in standard form
Answer:
25x10^6= 25000000
Step-by-step explanation:
25000000
7th grade. reasoning about equations and tape diagrams
Answer:
so...
1. 3(x+6) = 24
2. 6(x+3) = 24
a) 3(x+6) = 24 is diego juice question
6(x+3) = 24 is show question
b) x in equation 1 is 2 because you work the equation backwards and the opposite way, 24/3 then - 6
x in equation 2 is 1 because you work the equation backwards and the opposite way, 24/6 then - 3
sorry but i do not understand question b and c, hope this helps though
Is anyone able to help me with finding the volume of the triangular prism
Answer:
The answer is 1456
Step-by-step explanation:
Ok so what you have to do is take the 18 and the two 12s and you have to multiply then you have to square it and now i wasted your time and this is payback for deleting my post so no i cant help u with that
I need help with number 6
Answer:
b
Step-by-step explanation:
given 2 chords intersecting , then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
PZ × WP = XP × PY ( substitute values )
14 PZ = 7 × 12
14 PZ = 84 ( divide both sides by 14 )
PZ = 6
Find the value of x:
Answer:
x = 54°
Step-by-step explanation:
Since there are 180 degrees in a triangle, all you would do is add up the angles that you already have. In this case, you would do 64 + 62, which is 126. Then you would do 180 minus the sum of the other two degrees to find x. 180 - 126 = 54, so 54 is the value of x.
Hope this helps!!
Find the length of KNJ
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
Rewrite the equation in slope-intercept form.
x - 19y = 4
Answer:
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Step-by-step explanation:
[tex]x - 19y = 4[/tex]
Slope intercept form :
y= mx+b
Where ;
m = slope
b = intercept
[tex] - 19y = - x + 4[/tex]
Divide through by -19
[tex] \frac{ - 19y}{ - 19} = - \frac{x}{ - 19} + \frac{4}{ - 19} [/tex]
Simplify
[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]
Answer:
y = (1/19)x - (4/19)
Step-by-step explanation:
x-19y=4
19=m(slope) write it as 1/19
write 4 as 4/19(represents b or y-intercept)
y=mx+b
m=(1/19)
b=(4/19)
Plug in those numbers into the equation to get: y = (1/19)x - (4/19)
I hope that wasn't too confusing. LOL
Hope this helps!
Sketch the graph of a relation that’s is a function
Answer:
See attached
Step-by-step explanation:
Refer to attachment
One relation is a linear function
Second one is a graph of non-functional relation
Answer:
below
Step-by-step explanation:
For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).
We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).
Best of Luck!
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer: 3, 4, 5
Step-by-step explanation:
(1) False, those two angles added together would be equal to angle 1, not 4.
(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.
(3) True, an interior angle and its corresponding exterior angle are supplementary.
(4) True by the exterior angle theorem.
(5) True because the angles in a triangle add to 180 degrees
Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3), v = 5i + 10j
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex].
How to calculate the directional derivative of a multivariate function
The directional derivative is represented by the following formula:
[tex]\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v[/tex] (1)
Where:
[tex]\nabla f (r_{o}, s_{o})[/tex] - Gradient evaluated at the point [tex](r_{o}, s_{o})[/tex].[tex]\vec v[/tex] - Directional vector.The gradient of [tex]f[/tex] is calculated below:
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right][/tex] (2)
Where [tex]\frac{\partial f}{\partial r}[/tex] and [tex]\frac{\partial f}{\partial s}[/tex] are the partial derivatives with respect to [tex]r[/tex] and [tex]s[/tex], respectively.
If we know that [tex](r_{o}, s_{o}) = (1, 3)[/tex], then the gradient is:
[tex]\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right][/tex]
[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right][/tex]
If we know that [tex]\vec v = 5\,\hat{i} + 10\,\hat{j}[/tex], then the directional derivative is:
[tex]\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right][/tex]
[tex]\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}[/tex]
The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]
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Why is an exact answer not necessary for some math problems?
Answer:
Because it can make the problem harder
In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.
Thanks!
Mark me brainliest!
Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with different amounts of cereal to make the snack mix.
How many cups of popcorn does Harlan use per cup of cereal?
cups
How many cups of cereal does Harlan use per cup of popcorn?
cups
Answer:
2 cups of popcorn and 1/2 cups of cereal per cup
Step-by-step explanation:
khan told me
The cube of 9 is greater than 1,000. True or false?
Answer:
no is the correct answer
Answer:
False
Step-by-step explanation:
The cube of 9 is 729 and 729 is smaller ( not greater ) than 1,000.
HOPE THIS HELPED
A certain book is for sale in both belize and brazil. in belize, it sells for 80.39 belize dollars. in brazil, it sells for 63.65 brazilian reals. the exchange rate of us dollars to belize dollars is 1:1.9246, and the exchange rate of us dollars to brazilian reals is 1:1.7880. when converted into us dollars, which country sells the book at a more expensive price, and how much more expensive is it? round all currency values to two decimal places. a. the book costs $6.17 more in belize than in brazil. b. the book costs $11.89 more in brazil than in belize. c. the book costs $16.74 more in belize than in brazil. d. the book costs the same amount in both countries.
Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
A certain book is for sale in both Belize and Brazil.
In Belize, it sells for 80.39 Belize dollars.
The exchange rate of us dollars to Belize dollars is 1:1.9246
The cost of a book in dollars will be
[tex]\rm \dfrac{C_{belize }}{80.39} = \dfrac{1}{1.9246}\\\\C _{belize } \ = 41.7697[/tex]
In Brazil, it sells for 63.65 Brazilian reals.
The exchange rate of us dollars to Brazilian reals is 1:1.7880.
The cost of a book in dollars will be
[tex]\rm \dfrac{C_{brazil}}{63.65} = \dfrac{1}{1.778}\\\\C _{brazil} \ = 35.5984[/tex]
The difference in the cost will be
[tex]\rm C _{belize} -C _{brazil} = 41.7697 - 35.5984 = 6.1713 \approx 6.17[/tex]
Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.
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I need answers pls!!!!!!! :)
Answer:
Directly proportional, 2:3
Step-by-step explanation:
Directly proprtional as when one increases, so does the other.
2:3 because for every 2 notes there are 3 backbeats.
Pedro has a credit score of 895 and Bettina has a score of 768. A banker has decided that they both get a credit card; however, the borrower with the worst credit score will be charged an extra fee of $50.00. If they both receive a credit card with $1,500.00 credit, how much credit will Pedro have left after buying a bicycle for $425.00?
I NEED HIS CREDIT SCORE
Answer:
1075$ left
Step-by-step explanation:
1500-425
choose for brainliest if this helped pls!
2 inches on the map represents 0.5 miles on the ground. Find the scale ratio.
Step-by-step explanation:
far eastern coastal Seva inside and out of love
5. You can order video games from a company for $25 a
game, plus a $35 service charge for the entire order. If you
have $260, how many games, g, can you order?
Answer:
Step-by-step explanation:
25g + 35 = 260
25g = 225
g = 9 games
Officer Brimberry wrote 24 tickets for traffic violations last week, but only 21 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
The percent decrease is %?
Answer:
12.5% decrease
Step-by-step explanation:
decrease = [(old - new) ÷ old] 100
d = [(24 - 21) ÷ 24]100
d = [3 ÷ 24]100
d = [0.125]100
d = 12.5%
The answer is 12.5 _ _ _ _
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HELP ME PLEASE!!
Describe how you can use the factors of a quadratic function to find its zeros.
Answer:
Factorising the equation into brackets can help you identify where the x-intercepts are (where the function cuts the x-axis)
Step-by-step explanation:
When you factorise the equation it would look something like this:
(x + a)(x + b) = 0
This also means:
x + a = 0 and x + b = 0
x = -a and x = -b
Example:
Find where the function y = 2x² + 8x + 6 cuts the x-axis
Factorise the 2 out (highest common factor)
x² + 4x + 3 = 0
(x + 1)(x + 3) = 0
x = -1 or -3
David spends 3 hours to make a flower vase and 4 electronic toy cars. If he takes 75 minutes to make a flower vase and a toy car, how long is he taking to make a car?
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-21)^{\circ}∠A=(3x−21) ∘ and m\angle B=(2x-13)^{\circ}∠B=(2x−13) ∘ , then find the value of x
===============================================
Work Shown:
Vertical angles are always congruent
(angle A) = (angle B)
(3x-21) = (2x-13)
3x-21 = 2x-13
3x-2x = -13+21
x = 8
---------
Extra info:
Use this x value to find each angle
angle A = 3x-21
angle A = 3*8-21
angle A = 24-21
angle A = 3 degrees
angle B = 2x-13
angle B = 2*8-13
angle B = 16-13
angle B = 3 degrees
Both angles A and B are 3 degrees, so this confirms the answer.
Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The Vertical angles are always congruent,
(angle A) = (angle B)
(3x-21) = (2x-13)
3x-21 = 2x-13
3x-2x = -13+21
x = 8
Now Use this x value to find each angle;
angle A = 3x-21
angle A = 3*8-21
angle A = 24-21
angle A = 3 degrees
angle B = 2x-13
angle B = 2*8-13
angle B = 16-13
angle B = 3 degrees
Hence Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.
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What is the volume of cylinder 8m 15m rounded to nearest whole number
Step-by-step explanation:
The volume of a cylinder is given by the formula
pi×h×r^2
IF R IS 8
Volume = 3015.93
IF R IS 15
Volume = 5654.87
What is the midpoint of the segment below?
O A. (-1.1)
O B. (0.5, -0.5)
O c. (0,0)
O D. (0.5, 0.5)
B.
Step-by-step explanation:
to find the midpoint the formula is
[tex]( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]
so use the points provided and substitute them in to the formula!!
(-4,-7) = (x1, y1) (5,6) = (x2, y2)so now it would look like this inside the formula
and then you'll just solve that !!
[tex]\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5[/tex]
so we know x = 0.5 now, solve for y
[tex]\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5[/tex]
and we now know y = -0.5
point form (x,y) and you're all done !!
and this is why the answer is B. (0.5, -0.5)
Ryan decided to ride his bicycle X times around the neighborhood. His best friend
Tommy decided to ride his bicycle 4 times more than what Ryan rode. After they each
rode by themselves, they rode 8 times together around the neighborhood. Write an
expression to find out the total number of times they both rode around the
neighborhood
2x - 10
5x - 7
5x + 8
6x-3
5x + 8
easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
8. PROM A limo costs $85 to rent for 3 hours plus a 7% sales tax, What is the total cost
to rent a limo for 6 hours?
Answer:
181.9 dollars
Step-by-step explanation:
If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.
Two functions are f(x) = (2x+5)/8 and g(x) 3x-4. If inverse of (fog)(x) is an identity function, find the value of x
Answer:
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
The value of variable x is,
⇒ x = - 3/2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Two functions are;
⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.
Here, The inverse of (fog)(x) is an identity function,
Hence, We get;
⇒ (f o g) (x) = f (g (x))
= f (3x- 4)
= [ 2 (3x - 4) + 5 ] / 8
= (6x - 8 + 5) / 8
= (6x - 3) / 8
Thus, The inverse of (fog)(x) is,
⇒ (f o g) (x) = (6x - 3) / 8
⇒ y = (6x - 3) / 8
Solve for x;
⇒ 8y = 6x - 3
⇒ 8y + 3 = 6x
⇒ x = (8y + 3) / 6
⇒ (f o g)⁻¹ (x) = (8x + 3) / 6
Here, The inverse of (fog)(x) is an identity function, \
Hence, We get;
⇒ (f o g)⁻¹ (x) = x
⇒ (8x + 3) / 6 = x
⇒ 8x + 3 = 6x
⇒ 8x - 6x = - 3
⇒ 2x = -3
⇒ x = - 3/2
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