Solve for m.
— 5т.
-35

Answer:

Perpendicular

Step-by-step explanation:

If X=3, then it looks like ‘|’

If Y=4, then it looks like ‘—’

Together they form a 90 degree angle, when two lines form a 90 degree angle it is perpendicular

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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The statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

So, the statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

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Step-by-step explanation:

I'm sorry, without a sphere given, it's not possible to determine the surface area of the sphere. Could you please provide the necessary information or check if the sphere has been given in a previous question or image?

The surface area of the sphere is 64π unit².

The correct option is A.

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

We have,

Radius of sphere = 4 units.

So, surface area of a sphere

= 4πr²

= 4π(4)²

= 64π

Hence, the surface area of the sphere is 64π unit².

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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a)  If I randomly catch any one fish from this tank, the probability of catching a medium-sized fish from the tank is 0.3182.
b) the probability of catching a medium-sized guppy from the tank is 0.1391.

c) the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d) the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.

e)  the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.
f) 0.1384 is not equal to 0.1391, which indicates that the two events are not independent

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

The explanation to the above probability answer are given below:

a)

From the contingency table, we can see that the total number of medium-sized fish is 96. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized fish is:

Probability of catching a medium-sized fish = Total number of medium-sized fish / Total number of fish

Probability of catching a medium-sized fish = 96 / 302

Probability of catching a medium-sized fish = 0.3182

Therefore, the probability of catching a medium-sized fish from the tank is 0.3182

b)
From the contingency table, we can see that the total number of medium-sized guppies is 42. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized guppy is:

Probability of catching a medium-sized guppy = Total number of medium-sized guppies / Total number of fish

Probability of catching a medium-sized guppy = 42 / 302

Probability of catching a medium-sized guppy = 0.1391

Therefore, the probability of catching a medium-sized guppy from the tank is 0.1391.

c)

From the contingency table, we can see that the number of medium-sized guppies is 42, and the number of medium-sized fish is 96. Therefore, the probability of catching a guppy if we randomly select a medium-sized fish is:

Probability of catching a guppy given a medium-sized fish = Number of medium-sized guppies / Total number of medium-sized fish

Probability of catching a guppy given a medium-sized fish = 42 / 96

Probability of catching a guppy given a medium-sized fish = 0.4375

Therefore, the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d)
To calculate the probability of catching a medium-sized guppy if we randomly select a guppy from the tank, we need to find the number of medium-sized guppies in the tank and divide it by the total number of guppies in the tank.

From the contingency table, we can see that the number of medium-sized guppies is 42, and the total number of guppies is 131. Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is:

Probability of catching a medium-sized guppy given a guppy = Number of medium-sized guppies / Total number of guppies

Probability of catching a medium-sized guppy given a guppy = 42 / 131

Probability of catching a medium-sized guppy given a guppy = 0.3206

Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.


e)

From the contingency table, we can see that the total number of non-goldfish is 190 (45 medium goldfish + 70 small guppy + 42 medium guppy + 9 medium gourami + 10 large gourami + 14 small gourami). The total number of fish in the tank is 302. Therefore, the probability of catching a fish that is not a goldfish is:

Probability of catching a fish that is not a goldfish = Total number of non-goldfish / Total number of fish

Probability of catching a fish that is not a goldfish = 190 / 302

Probability of catching a fish that is not a goldfish = 0.6291

Therefore, the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.

f)

From the contingency table, we can see that the probability of randomly catching a guppy is 131/302, which is approximately 0.4344. Similarly, the probability of randomly catching a medium-sized fish is 96/302, which is approximately 0.3182.

Now, let's consider the joint probability of randomly catching a medium-sized guppy, which we calculated earlier to be 42/302, or approximately 0.1391. To determine if the events are independent, we need to compare the product of the probabilities of the individual events (catching a guppy and catching a medium-sized fish) to the joint probability of the events occurring together.

If the events are independent, then the product of their individual probabilities should be equal to the joint probability:

P(catching a guppy) x P(catching a medium-sized fish)
= P(catching a medium-sized guppy)

0.4344 x 0.3182 = 0.1391

0.1384 is not equal to 0.1391, which indicates that the two events are not independent.

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answer: x^9

x^7 * x^(8/4)= (x^3)(^6/2)

x^7 * x^2= x^3*3

x^9=x^9

exponents are added when there are variables associated with them, and are multiplied directly when like the right side

For the given rectangular prism dimensions, the area of each base is obtained by multiplying the length and width.

1. Area of each base:

The area of a rectangular base is calculated by multiplying the length by the width. Therefore:

- The area of the base with dimensions 8 ft by 6 ft is 48 square feet.

- The area of the base with dimensions 10 ft by 15 ft is 150 square feet.

2. Lateral area:

The lateral area of a rectangular prism is the sum of the areas of all its sides, excluding the base areas.

- For the given dimensions, the lateral area would be (8 ft + 6 ft) × 2 + (10 ft + 15 ft) × 2 = 36 ft + 50 ft = 86 square feet.

The lateral area is calculated by adding the perimeter of the bases and multiplying it by the height of the prism, excluding the base areas.

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Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

Answer:  Im horrible at geo sorry >_<

Step-by-step explanation:

Answer:

I already answer your old one :/

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

Answer:

Carniece recieved 12.5% tip

Step-by-step explanation:

Answer:

438

Step-by-step explanation:

subtract 76 from 256 you get 180 then add 180 to 256

Answer:

Step-by-step explanation:

  Heres what i got if you subtracted 256 -76= 180 is the total of one of the books. and im guessing the other total is the other books.

A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

Answer: 12.5

Step-by-step explanation:

1/2 of 25 is 12.5 since when added together they create 25

Answer:

  (b)  y=(x+1)²−9

Step-by-step explanation:

You want the vertex form equation of the graphed parabola, which opens upward and has its vertex at (-1, -9).

The vertex form equation for a parabola with vertex (h, k) is ...

  y = (x -h)² +k

The vertex of the parabola shown is (h, k) = (-1, -9). Using these values in the equation gives ...

  y = (x +1)² -9

__

Additional comment

The equation may include a scale factor that multiplies the square. Here, the curve rises 1 unit for 1 unit either side of the vertex, so the scale factor is 1. (The rise at ±1 from the vertex is the scale factor.)

Steps: (1) read the vertex coordinates from the graph; (2) put those coordinates in the vertex form equation; (3) check to see that the vertical scale factor is 1.

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

\(m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\)

Where m is the slope

Picking the points (2,1) and (0,-6).

∴\(x_{1} = 2\)

\(x_{2} = 0\)

\(y_{1}=1\)

\(y_{2}=-6\)

Then, the slope of the line in the graph is

\(m = \frac{-6-1}{0-2}\)

\(m =\frac{-7}{-2}\)

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

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Answer:

There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.

Step-by-step explanation:

Answer: T" (1,-4), R" (3,-4), S" (3,-1)

Step-by-step explanation:

Answer:

T: (1,-4), R:(3,-4), S:(3,-1)

Step-by-step explanation:

Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo vel = 0.9 cm/mil*2 * t

La ecuación de velocidad final de los cuerpos en caída libre es:

vel = g x t

Donde "g" es la aceleración debido a la gravedad (en la Tierra, g = -9.8 m/s^2) y "t" es el tiempo que tarda en caer la pelota. Si conocemos la altura "h" desde la que se deja caer la pelota, podemos utilizar la ecuación de cinemática:

h = 1/2 x g x t^2

Despejando "t" de esta ecuación obtenemos:

t = sqrt(2h/g)

Ahora podemos calcular el tiempo que tarda la pelota en caer al suelo:

t = sqrt(2 x altura / (0.0098 km/s^2))

Y utilizando la ecuación de velocidad final de los cuerpos en caída libre, podemos calcular la velocidad final que alcanza la pelota al tocar el piso:

vel = 0.9 cm/mil*2 * t

Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo. Espero que esto ayude.

vel = 0.9 cm/mil*2 * t

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Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

-2

Step-by-step explanation:

8x + 4y = 64 Put into slope intercept form

4y = -8x + 64

Divide by 4

y = -2x + 16

Slope is -2

The value of a is given as follows:

a = 4.5.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The lines cutting the triangles in this problem are all parallel lines, meaning that the side lengths form a proportional relationship, as follows:

a/6 = 3/b = 6/8 = 7.5/c.

Taking the first and the third ratios, we apply cross multiplication and obtain the value of a as follows:

a/6 = 6/8

8a = 36

a = 36/8

a = 4.5.

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