Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)
Answer:
[tex]r = 4[/tex]
Step-by-step explanation:
Given: Direct Variation
(0,0) ,(3,12),(9,36)
Required
Constant of Variation
Provided that the given data is a direct variation, the constant variation is represented by r.
r is calculated as thus;
[tex]y = rx[/tex]
Divide both sides by x
[tex]r = \frac{y}{x}[/tex]
Point (0,0) is the center of origin and cannot be used
When x = 3, y = 12
and
[tex]r = \frac{12}{3}[/tex]
[tex]r = 4[/tex]
When x = 3, y = 12
and
[tex]r = \frac{36}{9}[/tex]
[tex]r = 4[/tex]
Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]
what is the degree measure of an angle that measures 4.5 radians
Answer:
257.8°
Step-by-step explanation:
rad × 180/π = °
4.5*180=810
810/π=257.8
How smart r u?
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
simplify square root of 5 times square root of 8
Answer:
6 sqrt(5) - 4 sqrt(15)
Step-by-step explanation:
sqrt(5) ( ( 6 - 4 sqrt(3))
Distribute
6 * sqrt(5) - 4 * sqrt(5) sqrt(3)
We know sqrt(a) sqrt(b) = sqrt(ab)
6 sqrt(5) - 4 sqrt(15)
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
pls pls pls pls help
Answer:
the answer is option A
Step-by-step explanation:
Please answer need help
Answer:
-9,5 -> -9,1 -> -8,9 -> 8,7
Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
pls help help me need help!! thank you!!
Answer: 55 feet of rope
Step-by-step explanation:
The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.
|-30| + |25| = 30 + 25 = 55
Which rule will find the nth term of the arithmetic sequence
-58,-65, -72. -86,...?
Answer:
-85n - 7 = -92
Step-by-step explanation:
How do you Convert the decimal into a mixed number 10.5
Answer:
it would be 10 1/2
Step-by-step explanation:
The ten is already a whole number so it would be itself. .5 is in the tenths place so it would be put over ten (5/10). Simplify 5/10 to 1/2 because 5 is half of 10
Answer:
its 10 1/2
Step-by-step explanation:
Sophia wants to find out whether people like a new airport .she surveyed 20 people who work at the airport one morning in March to find their opinion of the airport . Write down two ways Sophia could improve her data collection method.
Answer:
By asking a larger quantity of people.
Changing the time/date of when she went and asked the questions
Answer:
by asking more people because then she can get a more diverse answer
Step-by-step explanation:
What is the measurement of angle A to the nearest degree?
Answer:
A = 51 degrees
Step-by-step explanation:
We can use the law of sines
sin A sin 95
------------ = -----------
7 9
Using cross products
9 sin A = 7 sin 95
Divide each side by 9
sin A = 7/9 sin 95
Take the inverse of each side
sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)
A = 50.78854367
To the nearest degree
A = 51 degrees
Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°
Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2
The statement that is not true based on these diagrams will be;
⇒ m ∠A = m∠2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Now,
Since, In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Hence, We get;
⇒ m ∠A + m ∠B + m ∠C = 180°
Substitute all the values, we get;
⇒ m ∠A + 34° + 108° = 180°
⇒ m ∠A + 142° = 180°
⇒ m ∠A = 180° - 142°
⇒ m ∠A = 38°
Thus, The incorrect statement is,
⇒ m ∠A = m∠2
Learn more about the triangle visit:
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(-2ab+8a+8) - (7ab + 6)
Answer:
-9ab + 8a + 2
Step-by-step explanation:
Combine like terms and distribute the negative
_______________________________
Solution,
(-2ab+8a+8)-(7ab+6)
= -2ab+8a+8-7ab-6
= -2ab-7ab+8a+8-6
= -9ab+8a+2
Hope it helps..
Good luck on your assignment
__________________________
3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.
Answer:
15:2; there are 2 counselors to every 15 campers
Step-by-step explanation:
URGENT HELLPPP!!!
WILL GIVE BRAINLIEST IF WANTED AND 50 POINTS
The diagram shows a trapezium ABCD.
The co-ordinates of the four vertices are shown.
The coordinates of the trapezium are: Point A 3, 5; Point B 10, 5; Point C 12, 1; Point D is 1, 1.
Work out the area of the trapezium.
Answer:
the area is 36
Step-by-step explanation:
Answer:
[tex]36[/tex] units
Step-by-step explanation:
[tex](a+b)\frac{1}{2} h[/tex]
[tex](7+11)\frac{1}{2} (4)[/tex]
[tex]\frac{18}{2}(4)=36[/tex]
What is unique about an equilateral triangle? *
Answer:
Option A
Step-by-step explanation:
An equilateral triangle's sides are equal to each other, and all their angles are equal.
The best option is A.
What makes the other answers wrong:All angles in a equilateral triangle are 60° each. They are not obtuse.
All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.
All sides of a equilateral triangle are congruent.
what's the conversion factor used to convert inches to yards ?
The conversion factor used to convert inches to yards is: 36 inches in 1 yard.
write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
Answer:
-5n + 8
Step-by-step explanation:
1. What is the difference?
The sequence goes down by 5. This means that the formula will have -5n in it.
2. Work out the term before the first term.
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
3. Put that term at the end of the equation.
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
Substitute: n = term
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?
Answer:
(D) Side B A corresponds to Side E D.
Step-by-step explanation:
Took on Edge and got it correct
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).
Question 11 options:
a)
y = 13x − 2
b)
y = 3x – 6
c)
y = 13x + 2
d)
y = –3x + 6
Answer:
work pictured and shown
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m
The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
Learn more about the condition to construct a triangle here: https://brainly.com/question/1299079
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Convert 7/15 to a decimal.
SHOW WORK
Answer:
.4666...
Step-by-step explanation:
What you do:
Too convert 7/15 to a decimal you need too divide it.
7/15 = 0.466666667 So its a repeating decimal.
There are two things you can do, either add a bar to the decimal to show its repeating or round it up like this: 0.467 or 0.47
^ that is more accurate.
Have a good day! :)
Which equation can be used to solve for c? sin(50o) = StartFraction 3 Over c EndFraction sin(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction 3 Over c EndFraction
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Answer: The correct answer is option 1;
Sin 50° = StartFraction 3 Over c EndFraction
That is, Sin 50° = 3/c
Step-by-step explanation: Please refer to the picture attached for further details.
The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle). Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.
The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.
Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;
Sin 50 = opposite / hypotenuse
Sin 50 = 3/c
Answer:
answer is sin(50*) = 3/c
Step-by-step explanation:
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer: 40
Align in this pattern:
Bigger box : 24 : 15 : 10
smaller box: 6 : 3 : 5
counts: 4: 5 : 2
( multiply 4*5*2 = 40)
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3
Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation:
How many roots does (x+10)^9 have. Please explain how u did it.
Answer:
This expression contains a one root (x= -10) of multiplicity 9
Step-by-step explanation:
Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):
[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]
Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.
In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).
Answer:
9
Step-by-step explanation:
(x+10)^9 is the 9-degree polynomial so it has 9 roots
if it is equal to zero then it has 9 equal roots of x= -10
