Which equation has a solution of 5 and -5?

A)x^2 -10x +25= 0
B) X^2 +10x + 25=0
C) X^2 +25= 0
D) X^2 -25=0

A house on the market was valued at $327,000. after several years the value increased by 17% by how much did the house's value increase in dollars? what is the current value of the house?

How much did the house's value increase in dollars?

327,000 x 0.17 (17%) = $55,590

What is the current value of the house?

327,000 + 55,590 = $382,590

Answer:

17.4

Step-by-step explanation:

side 1=4.5

side 2=4.5

side 3=4.5

base 1=3.9

17.4

Answer:

Mode is 83

Median is 85

Step-by-step explanation:

To find the median: Arrange the data points from smallest to largest.

To find the mode: Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set

Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6

We can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:

[log2(3)].[log3(4)].[log4(5)]...[log63(64)]

= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]

= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]

= log2(3) log3(4) log4(5) ... log63(64)

Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:

log2(3) log3(4) log4(5) ... log63(64) = log2(64)

Since 2^6 = 64, we have:

log2(64) = 6

Therefore,  [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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Answer:

5.33

Step-by-step explanation:

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

\(f(g(x)) = \frac{10x-9}{3 + 3x}\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{x} - 3\)

\(g(x) = \frac{3}{x} + 3\)

Required

Find f(g(x))

If: \(f(x) = \frac{1}{x} - 3\)

Then:

\(f(g(x)) = \frac{1}{3/x + 3} -3\)

Solve the denominator (take LCM)

\(f(g(x)) = \frac{1}{\frac{3+3x}{x}} -3\)

\(f(g(x)) = \frac{x}{3 + 3x} - 3\)

It can be solved further as:

\(f(g(x)) = \frac{x-3(3 + 3x)}{3 + 3x}\)

\(f(g(x)) = \frac{x-9 + 9x}{3 + 3x}\)

\(f(g(x)) = \frac{10x-9}{3 + 3x}\)

Answer:

Answer 1008

Step-by-step explanation:

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

i don't know the answer sorry

If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.

Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.

This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.

Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.

Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.

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Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

\(y\propto x\\\\y=kx\)

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

\(k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3\)

Now put k = 3 and x = -5 and finding the value of y.

\(y=3\times -5\\\\y=-15\)

So, the value of y is equal to -15.

Answer: No

Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.

Multiply 2 by 1/2 to get 1.

Multiply 1 by 2/3 to get 2/3.

Multiply 2/3 by 3/4 to get 6/12 = 1/2.

Multiply 1/2 by 4/5 to get 4/10 = 2/5.

Multiply 2/5 by 5/6 to get 10/30 = 1/3.

Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)

And so on, so that the nth term in the sequence is multiplied by n/(n + 1) to get the (n + 1)th term.

Recursively, the sequence is given by

\(\begin{cases}a_1=2\\a_n=\dfrac{n-1}na_{n-1}&\text{for }n>1\end{cases}\)

We can solve this exactly by iterating:

\(a_n=\dfrac{n-1}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}na_{n-1}=\dfrac{n-1}n\dfrac{n-2}{n-1}\dfrac{n-3}{n-2}a_{n-3}=\cdots\)

and so on down to

\(a_n=\dfrac{(n-1)\cdot(n-2)\cdot(n-3)\cdot\cdots\cdot3\cdot2\cdot1}{n\cdot(n-1)\cdot(n-2)\cdot\cdots\cdot4\cdot3\cdot2}a_1\)

or

\(a_n=\dfrac{(n-1)!}{n!}a_1\)

and with lots of cancellation, we end up with

\(a_n=\dfrac{a_1}n=\boxed{\dfrac2n}\)

Answer:

Divide 2 by n.

Step-by-step explanation:

Answer:

infinite solutions

Step-by-step explanation:

both sides are identical

Answer:

x=1/-3

Step-by-step explanation:

2×2-3x-5=0

4-3x-5=0

4-5-3x=0

-1-3x=0

-3x=0+1

-3x=1

x=1/-3

Answer:

6

Step-by-step explanation:

Pemdas

6 + (5 - 1)(6 - 6)

6 + (4)(0)

6 + 0

6

Answer:

34791112

Step-by-step explanation:

Please check the attached for the explanation.

The next number for given sequence is 34791112.

The given sequence is 2,2,5,12,62,749,46450,......

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.

Each number in the sequence is of the form Number3 × Number2 + Number1 = Number4

5×2+2=12

12×5+2=62

62×12+5=749

749×62+12=46450

So, the required number is

46450×749+62=34791112

Therefore, the next number for given sequence is 34791112.

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To make a tree diagram, start by writing out the given information and drawing a box around it. Then draw two branches off of the box representing the two possible outcomes of selecting a student, male or female. Then draw two more branches off of each of the first two branches, representing the two possible outcomes of receiving aid.

Then draw two more branches off of each of the second two branches, representing the two possible outcomes of receiving federal aid. This will create a tree diagram that looks like this (see the image).

From the tree diagram, we can calculate the probability of selecting a student from the given information as follows:

P(selecting a student) = P(selecting a male) + P(selecting a female) = (of male students/total students) + (of female students/total students) = (of male students + of female students)/total students =

Therefore, the probability of selecting a student from the given information is .

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Answer:

It has a volume of 512cm

Answer:

536 19/50 cm

Step-by-step explanation:

Volume = length*width*height

It's a cube so the length, width, and height are  8 1/8 cm's

8 1/8 = 65/8

65/8 * 65/8 * 65/8 = 274625/512

274625/512 = 536 19/50 cm

Merkel's discs are not involved in sensory transduction.

The process by which sensory receptors in the body translate physical stimuli like light, sound, or pressure into electrical impulses that the brain can understand is known as sensory transduction. This procedure is necessary for recognizing our surroundings and reacting to them.

For example: Cones are specialized cells that are found in the retina of the eye and are in charge of vision in high light and color. They can transform the light of various wavelengths into electrical impulses that are sent to the brain because they are sensitive to light of those wavelengths. Whereas Merkel's discs, are specialized cells found in the skin that are involved in detecting touch and pressure. They do not play a role in sensory transduction.

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9514 1404 393

Answer:

  2)  x = 7

  3)  x = 5

Step-by-step explanation:

When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.

2) All of the angles are right angles.

  11x +13 = 90

  11x = 77 . . . . . . subtract 13

  x = 7 . . . . . . . divide by 11

__

3) The two marked angles are acute.

  16x = 80 . . . . the acute angles are congruent

  x = 5 . . . . . . divide by 16

Answer:

∠A=166°

Step-by-step explanation:

∠A=∠B

7x+40=3x+112

4x=112-40

x=18

∠A=7x+40=166

Answer:  0.12

Step-by-step explanation:

There are 65 candy bars. Out of that;

2 candy bars have 300 to 350 calories

1 candy bar has 350 to 400 calories

4 candy bars have 400 to 450 calories

1 candy bar has 450 to 500 calories

The total proportion out of 65 candy bars that have over 300 calories is;

= ( 2 + 1 + 4 + 1) / 65

= 8/65

= 0.12

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.