Solve for x: 5 over quantity x squared minus 4 plus 2 over x equals 2 over quantity x minus 2
What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.
Final answer:
To determine the slope, solve for y in terms of x, resulting in the equation y = (-3/2)x. Hence, the slope of the line described by the equation 2/x + 3/y = 0 is -3/2.
Explanation:
To find the slope of the line determined by any two solutions to the equation 2/x + 3/y = 0, let's begin by solving for y in terms of x.
First, we isolate the term 3/y:
2/x = -3/y
Then we cross-multiply and get:
2y = -3x
Now we solve for y:
y = (-3/2)x
This is now in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, there is no y-intercept since the line passes through the origin.
The slope m is -3/2. So any two solutions to the original equation will yield a line with a slope of -3/2.
on a particular day, the Dow Jones had a rate of change of 2.8%. Which of the following statements must also be true?
-The average of the 30 stocks in the Dow Jones increased.
-The NASDAQ decreased.
-The S&P 500 increased.
-Every stock in the Dow Jones increased.
Answer
THE AVERAGE OF THE 30 STOCKS IN THE DOW JONES INCREASED
Step-by-step explanation:
The fraction 10/19 is in lowest terms
Answer:
True
Step-by-step explanation:
a man divided $9000 among his wife , son and daughter. the wife received twice as much as the daughter and the son received $1000 more than the daughter how much did each receive
with working please
thank you
In the game of blackjack, determine the odds of dealing yourself a blackjack (ace plus face-card or 10) from a single deck. show how you arrived at your answer.
Final answer:
The odds of dealing yourself a blackjack in a single deck game of blackjack, by drawing an ace and a face card or 10 in either order, is 128 out of 2652, which simplifies to approximately 1 in 20.7.
Explanation:
In the game of blackjack, to determine the odds of dealing yourself a blackjack (ace plus a face card or 10), we need to calculate the probability of drawing an ace and then a ten-value card, or vice versa, from a single deck. A standard deck of cards has 52 cards, with 4 aces and 16 ten-valued cards (10, J, Q, K across four suits). The probability of drawing an ace first is 4 out of 52, and then a ten-value card is 16 out of 51. Alternatively, the probability of drawing a ten-value card first is 16 out of 52, and then an ace is 4 out of 51.
The total probability is the sum of both probabilities:
Probability of Ace first, then ten-value card: (4/52) * (16/51)Probability of ten-value card first, then Ace: (16/52) * (4/51)We then add these two probabilities together to find the total probability of dealing a blackjack from a single deck.
The total probability is (4/52) * (16/51) + (16/52) * (4/51) which simplifies to (64/2652) + (64/2652), or 2 * (64/2652), which simplifies further to (128/2652). Therefore, the odds of dealing a blackjack are 128 out of 2652, or approximately 1 in 20.7 when simplified.
c. When the center of Earth is 2 × 1011 meters from the center of Mars, the force of gravity between the two planets is about 64.32 × 1014 newtons. The mass of Earth is about 6 × 1024 kilograms, and the mass of Mars is about 6.4 × 1023 kilograms. Using these values, estimate the gravitational constant.
To estimate the gravitational constant (G), we apply Newton's law of universal gravitation, using the provided values of the force of gravity between Earth and Mars, the masses of both planets and their distance apart. The calculation yields an estimated G value of approximately 6.67 × 10⁻¹¹ N·m²/kg², which aligns with the known gravitational constant.
Explanation:To estimate the gravitational constant (G), we can use Newton's law of universal gravitation, which states that the force of gravity (F) between two masses (m₁ and m₂) is directly proportional to the product of their masses and inversely proportional to the square of the distance (r) between their centers:
F = G * (m₁*m₂) / r²
Given that:
The force of gravity (F) between Earth and Mars is approximately 64.32 × 10¹⁴ newtons.The mass of Earth (m₁) is about 6 × 10²⁴ kilograms.The mass of Mars (m₂) is about 6.4 × 10²³ kilograms.The distance between the centers of Earth and Mars (r) is 2 × 10¹¹ meters.We can rearrange the formula to solve for G:
G = F * r² / (m₁ * m₂)
Plugging in the values:
G = (64.32 × 10¹⁴ N) * (2 × 1011 m)² / (6 × 10²⁴ kg * 6.4 × 10²³ kg)
G ≈ 6.67 × 10⁻¹¹ N·m²/kg²
This value is approximately equal to the known gravitational constant, solidifying our understanding of gravitational forces and confirming the validity of our calculations.
Write an expression for m∠ RST
3x – 9
6x – 18
1.5x – 4.5
6x – 9
This is duplicate version of the question i forgot to add a picture to it
Final answer:
The expressions provided are different forms of similar linear expressions, which could potentially describe the measure of angle RST if related algebraically or geometrically. The expression for m∠ RST is 6x - 9
Explanation:
Calculating the measure of angle RST involves understanding that the angles around a point add up to 360°, and the angles on a straight line add up to 180°. Based on the provided expressions, we are likely looking for the expression that adheres to these geometric rules.
The expressions given are: 3x – 9, 6x – 18, 1.5x – 4.5, and 6x – 9. To determine which one correctly represents the measure of angle RST, we would need some context from the problem or a diagram. However, assuming a relationship between the expressions and angle RST using linear or angular sums, we can observe that the expressions 3x – 9 and 6x – 18 are equivalent (by factoring out a 2 from the second expression), and similarly, 1.5x – 4.5 is equivalent to 3x – 9 upon multiplying by 2. The expression 6x – 9 could also be related if RST formed a linear pair with another given angle.
Select all that apply. Which of the following ratios are equivalent?
A. 3 to 4
B. 3/4
C. 6/7
D. 15/20
Answer:
A,B,D
Step-by-step explanation:
Find the value of x in the figure below. Round to the nearest tenth.
6.7
20
4
15
if the interest rate is 3% and a total of $4,370.91 will be paid to you at the end of 3 years, what is the present value of that sum? a. 3,900.00 b. 3,947.00 c. 3,977.40 d. 4,000.00
The howler monkeys at a zoo are fed a diet that contains 3.35 kcal/gram. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat to obtain x kilocalories of energy.
How would you write 0.00568 in scientific notation?
what is the value of m in the equation 4m + 2(m + 1) = 9m + 5
Find the volume of this oblique pyramid.
Solve for x: (3x−2)(2x+3)=0
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
SAS
ASA
AAS
None
The simpliest way is to use the AAS Postulate.
AAS Postulate: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
From the diagram you have:
1. one pair of angles with measure 40°;
2. one pair of angles with measure 60°;
3. the non-included side of one triangle is congruent to the non-included side of another triangle (their lengths are 10).
Answer: correct choice is D (AAS)
Answer:
AAS postulate :)
Step-by-step explanation:
A 20 sided die is rolled. What is the probability that a 1 is rolled?
A quadrilateral has three angles that measure 90o , 100o, and 120o. which is the measure of the fourth angle?
Answer: The measure of the fourth angle of the given quadrilateral is 50°.
Step-by-step explanation: Given that a quadrilateral has three angles that measure 90° , 100° and 120°.
We are to find the measure of the fourth angle of the quadrilateral.
Let x° be the measure of the fourth angle of the quadrilateral.
We know that
The sum of the measures of the four angles of a quadrilateral is 360°.
So, for the given quadrilateral, we have
[tex]90^\circ+100^\circ+120^\circ+x^\circ=360^\circ\\\\\Rightarrow 310^\circ+x^\circ=360^\circ\\\\\Rightarrow x^\circ=360^\circ-310^\circ\\\\\Rightarrow x^\circ=50^\circ.[/tex]
Thus, the measure of the fourth angle of the given quadrilateral is 50°.
Given the sequence: {2, 8, 32, 128, 512…}, S12 = ???
A rectangle with vertices located at (1, 2), (1, 5), (3, 5), and (3, 2) is stretched horizontally by a factor of 3 with respect to the y-axis. What is the area of the image that is produced?
Someone help me fast please
6 * (4+2)^2 -3^2 =
6 * 6^2 -3^2 =
6* 36-9 =
216-9=
207
Answer is C. 207
A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how high is the kite? Round your answer to the nearest tenth of a foot.
An angle of elevation of 58 degrees with the ground means that the angle started at the x-axis and terminates on the first quadrant region through a counter clockwise direction. Imagining a triangle, the string of the kite becomes the hypotenuse, the angle 58 degrees is the angle between the hypotenuse and the ground, and the height of the kite is the side opposite to the angle.
Therefore, we can calculate for the height of the kite using the sin function:
sin θ = opposite side / hypotenuse
sin 58 = opposite side / 50 m
opposite side = 50 m * sin 58
opposite side = 42.4 m
Therefore the kite is about 42.4 m above the ground.
,[PICTURE INCLUDED] Kite CDEF is rotated 180° about the origin and translated 3 units up to form kite WXYZ. If CD is x units long, what is the length of WX?
he 2 kites are identical
CD is the same as WX
so it would be x +0
answer is A
%) points. Brainliest.
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5/9 (F − 32)
Which of the following formulas correctly solves for F?
F = 9/5C + 32
F = 9/5C − 32
F = 9C + 32/5
F = 9C − 32/5
Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100
Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)
9c + 32/5=f this is the answer
i think
The graphs of functions f(x) and g(x) = f(x) + k are shown below:
graph of line f of x going through ordered pairs 0, 0 and 2, 4. Graph of line g of x going through ordered pairs 0, 2 and 1.5, 5.
The value of k is ___.
The isometric dot paper shoes 2 vertices 1 edge of the cube structure . Complete the isometric drawing
nutrient level required to maintain energy and growth what is it called
Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements. The GCF of 96x2 and 88x is . Each term written as a product, where one factor is the GCF, is . The factored form of the expression is
Answer:
1: The GCF of 96x2 and 88x is: Answer: 8x
2: Each term written as a product, where one factor is the GCF, is: Answer: 8x(12x)+8x(11)
3: The factored form of the expression is: Answer: 8x(12x+11)
Step-by-step explanation:
You're explanation is the answers hope I helped !!!! Good luck!!!!!
Four graphs are shown below:
Which graph best shows the line of best fit?
Graph A
Graph B
Graph C
Graph D