Answers
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation
To find k use any ordered pair from the table.
Using (1, 4 ) , then
4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1
4 = k
y = [tex]\frac{4}{x^2}[/tex] ← equation of variation
(b)
When y = 25 , then
25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )
25x² = 4 ( divide both sides by 25 )
x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]
Since x > 0 then x = [tex]\frac{2}{5}[/tex]
Related Questions
A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answers
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
Find the perimeter of the figures shown below.
Answers
Answer:
The perimeter would be 32.6 ft.
Step-by-step explanation:
5.7+ 5.7+10.6+10.6=32.6
If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?
Answers
Answer:
the value of increase each time is 1,571.43
Step-by-step explanation:
Given;
original value of the number, A = 1000
final value of the number, N = 12,000
Assuming the number increased equally each time, let the value of increase each time = x
The following linear equation will be obtained to solve for x;
7x + 1000 = 12,000
7x = 12,000 - 1,000
7x = 11,000
x = 11,000/7
x = 1,571.43
Therefore, the value of increase each time is 1,571.43
answer pelase answer please
Answers
Answer:
The y intercept of Function A is less than the y intercept of Function B.
Step-by-step explanation:
To find the y-intercept of the equation for A set x=0 and solve for y
Y=4(0)+1 therefore the y intercept for equation A is y=1
To find the y intercept for graph B you find the point where the graph intercepts the y axis which in this case it looks like it intercepts(crosses) the y axis at y=2
Therefore equation A y- intercept(y=1) < equation B y-intercept (y=2)
Hopefully this helps! If it did please mark brainliest! Feel free to ask me any other questions :)
When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?
Answers
Answer:
Step-by-step explanation:
648 I think
The area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?
Answers
Answer:
17 meters
Step-by-step explanation:
Area = Length x Width
Width = 7
Area = 119
Solving for: Length
Equation:
119 = 7 * x
Solving for Length (x) :
119 = 7 * x
x = 119/7
x = 17
Units = meters
Answer: 17 meters
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
hey pls help asap
it's urgent due within 1 hr
Answers
Answer:
I. C. Both A and B
II. D. All of the options
III. B. Help in making people a valuable resource
What is the cube root of 216x^9y^18 ?
A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15
Answers
[tex]4 {x}^{3} {y}^{6} [/tex]
OPTION A
Answer:
option B
Step-by-step explanation:
Cube root of x means [tex]x^{\frac{1}{3}[/tex]
Formulas used :
[tex](a^x)^y = a^{xy}[/tex]
[tex](b^3)^{\frac{1}{3}} = b[/tex]
Therefore cube root of :
[tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]
[tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]
[tex]= 6 \times x^3 \times y^6[/tex]
[tex]=6x^3y^6[/tex]
is (0,0) a solution to x + y > 5 , 2x - y < 4
Answers
Answer:
(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4
Step-by-step explanation:
Substitute x=0,y=0
0>5 (not possible)
0<4(possible)
Un cable guía de 600 pies esta sujeto a la parte superior de una torre de comunicaciones. Si el cable forma un ángulo de 65° con la Tierra. ¿Cuál es la altura de la torre de comunicaciones?
Answers
Answer:
La torre tiene 543.78 pies de altura.
Step-by-step explanation:
Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).
Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.
Entonces simplemente podemos usar la relación:
Sin(θ) = (cateto opuesto)/(hipotenusa)
donde:
cateto opuesto = H
θ = 65°
hipotenusa = 600 ft
sin(65°) = H/600ft
sin(65°)*600ft = H = 543.78 ft
La torre tiene 543.78 pies de altura.
Complete the equation describing how x and y are related.
Answers
Answer: The "?" would equal 1.
Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.
Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answers
Answer:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
WILL MARK AS BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
mulitiply by 2
Help please I need help
find X
Answers
Answer:
[tex]x = 145[/tex]
Step-by-step explanation:
1.Approach
To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.
Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.
It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).
2. Find the measure of two angles in the triangle
The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,
[tex]x+(unknown)=180[/tex]
Solve for unknown,
[tex]unknown = 180 - x[/tex]
One can also state,
[tex]170+(unknown_2)=180[/tex]
Solve for the unknown,
[tex]unknown_2=10[/tex]
3.Find the degree measure of one of the angles in the octagon
The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.
The formula to find the sum of interior angles in a polygon is as follows,
[tex]S=180(n-2)[/tex]
Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,
[tex]S=180(n-2)\\\\S=180(8-2)[/tex]
Simplify,
[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]
Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.
[tex]1080[/tex] ÷ [tex]8 = 135[/tex]
4. Find the measure of the final angle in the triangle
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.
5. Find the meausre of (x)
The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,
[tex](180-x)+(10)+(135)=180[/tex]
Simplify,
[tex]325-x=180[/tex]
Inverse operations,
[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]
can some one answer please
Answers
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.
What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?
Answers
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;
[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]
Therefore, the required point is located as follows;
[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]
The coordinates of the point is (0, -4)
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Answers
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
Learn more about division here -
https://brainly.com/question/13706292
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Order the integers from least to greatest. 4, –4, –2, 2, –8
Answers
-8, -4, -2, 2, 4
hope this helps
3(x + 1)2 = 108
Create a list of your steps
Answers
Answer: 17
Step-by-step explanation:
3(x+1)2=108
Distribute the 3 first: (3x+3)2=108
Then divide by 2 on both sides: 3x+3= 54
Subtract 3 from both sides: 3x=51
Divide by 3 on both sides: x=17
What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π
Answers
Answer:
the answer is c
C.324πf(n) = 4n +7
Is it geometric or arthmetric
Answers
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal
Answers
The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.
Answers
Answer:
8x = 75 + 5x
where x = length of one brick
25cm
Step-by-step explanation:
SSSSSSS
Which expression is equivalent to
(2g^3+4)^3
?
4g^6+16
4g^6 + 16g^3 +16
4g^6 + 8
4g^9 + 16g^3+8
Answers
Answer: answer is c pls mark me brain
Step-by-step explanation:
The expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (2g³+4)²
We have to find the equivalent expression of the given expression
Equivalent expressions are expressions that work the same even though they look different
We know that (a+b)²=a²+b²=2ab
(2g³+4)² = (2g³)² + 4² +2.2g³.4
=4g⁶+16+16g³
Hence, the expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
To learn more on Expressions click:
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Drag each label to the correct location on the image.
Here is a multiplication sentence:
(1 × 4) × 2 = 8
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.
Answers
Answer:
1 x (4 x 2) = 8
Step-by-step explanation:
1 x (4 x 2) = 8
NOT DRAWN TO SCALE. find x
Answers
URGENT! What are the residuals for the scatter plot. Thank you!
Answers
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answers
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer
A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.
Answers
Answer:
78.5
Step-by-step explanation:
The radius of the circle is 25 so youu multiply that by 3.14
25*3.14=78.5
Camila has two summer jobs. During the week she works in the grocery store, and on
the weekend she works at a nursery. She gets paid $20 per hour to work at the
grocery store and $21 per hour to work at the nursery. How many total hours does
she work if she does 10 hours at the grocery store and 6 hours at the nursery? How
many total hours does she work if she does g hours at the grocery store and n hours
at the nursery?
Answers
Answer:
Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.
Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.
Step-by-step explanation:
1. Add up the grocery store hours and the nursery hours together.
10+6=16
g+n=g+n
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