Can you make a triangle with side lengths 3,7,8?

Work Shown:

IQR = Q3 - Q1

IQR = 70 - 48

IQR = 22

Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer:

\( \huge{ \boxed{ \tt{1 }}}\)

❁ Question : Simplify :

❁ Solution :

First , Use power law of indices.

Remember : If \( \sf{ {a}^{m} }\) is an algebraic term , then

\( \sf{( {a}^{m} ) ^{n} } = {a}^{m \times n} = {a}^{mn} \) , where m and n are positive integers.

➝ \( \sf{ {x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}} \)

➝ \( \sf{ {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb}} \)

Now , Use product law of indices :

Remember : If \( \sf{ {a}^{m} }\) and \( \sf{ {a}^{n}} \) are the two algebraic terms , where m and n are the positive integers then \( \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n}} \)

➝ \( \sf{ {x}^{ab - ac + bc - ba + ca - cb}} \)

Since two opposites adds up to zero , remove them :

➝ \( \sf{ {x} \: ^{ \cancel{ab} \: - \cancel{ac} \: + \cancel{bc} \: - \cancel{ba} \: + \cancel{ca} \: - \cancel{cb} } }\)

➝ \( \sf{ {x}^{0} }\)

Use Law of zero index

Remember : If \( \sf{ {a}^{0}} \) is an algebraic term , where a ≠ 0 , then \( \sf{ {a}^{0} = 1}\)

➝ \( \boxed{ \sf{1}}\)

And we're done !

Hope I helped ! ♡

♪ Have a wonderful day / night ツ

~~

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

area = 232.5

perimeter=71.243

The length of the fabric is 15cm.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Elijah takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 17 inches long and the width of the fabric is 8 inches.

We have to find the fabric's length.

We apply here Pythagoras theorem and we get

a² + b² = c²

a² +  (8)² = (17)²

a² +64 = 289

a²  = 289 - 64

a²  = 225

a = 15

Hence, the length of the fabric is 15cm.

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The store that offers the better value based on the unit rate is Store A.

The unit rate is the ratio of one item to the whole item.

The unit rate represents the average of a data set.

It is computed by dividing the total value by the number of units.

The cost of 5 notebooks at Store A = $6.75

The unit rate of notebooks at Store A = $1.35 ($6.75/5)

The cost of 3 notebooks at Store B = $4.50

The unit rate of notebooks at Store B = $1.50 ($4.50/3)

Thus, using the unit rate as the basis of consideration, we can conclude that Store A offers Ben a better value than Store B.

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However, in some cases, the default location of the click point may be set by default to the top-left corner of the screen or window, which would correspond to the coordinate (0, 0) in a Cartesian coordinate system.

If no coordinates have been assigned to the cursor, the default location of the click point will depend on the program or application being used. In most cases, the default location will be the center or starting position of the screen or window in which the program is running, which could be any location on the screen. Therefore, none of the options provided is necessarily correct.

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The value of x if The measure of the angle is = 5x + 4, The measure of the angle is = 146, The lines are parallel, is 6.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

Given:

The measure of the angle is = 5x + 4

The measure of the angle is = 146

The lines are parallel,

Calculate the value of x as shown below,

5x + 4 = 180 - 146  (Parallel line theorem, corresponding angle, and supplementary angles)

5x = 34 - 4

x = 30 / 5

x = 6

Thus, the value of x is 6.

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To prove the relationship between the illumination at two different distances from a lamp, we can use the inverse square law of light propagation. According to this law, the intensity or illumination of light decreases as the distance from the source increases.

The inverse square law states that the intensity of light is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as:

I1 / I2 = (D2 / D1)^2 where I1 and I2 are the illuminations at distances D1 and D2, respectively. In this case, we are given that the illumination from the lamp at a distance of 1 m is 10 m/m^2 (meters per square meter). Let's assume that the illumination at a distance of 0.5 m is I2.

Using the inverse square law, we can write the equation as:

10 / I2 = (1 / 0.5)^2

Simplifying the equation, we have:

10 / I2 = 4

Cross-multiplying, we get:

I2 = 10 / 4 = 2.5 m/m^2

Therefore, we have proven that the illumination at a point 0.5 m away from the lamp is 2.5 m/m^2, not 40 m/m^2 as stated in the question. It seems there may be an error or inconsistency in the given values.

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SOLUTION

Testing the third option;

The third option is the correct answer.

Answer:

\( {k}^{2} + 2k + \frac{15}{2} = 0 \\ {k}^{2} + 2k + 1 = - \frac {15}{2} + 1 \\ {k + 1}^{2} = - \frac{13}{2} \\ k + 1 = - \sqrt{ \frac{13}{2} } \\ k = 1 + or - - \sqrt{ \frac{13}{2} } \)

Answer:

69

Step-by-step explanation:

1,242 ÷ 18 = 69

Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.

-kiniwih426

Members per group:-

\(\\ \sf\longmapsto \dfrac{1242}{18}\)

\(\\ \sf\longmapsto 69\)

Shaping modifies behavior through reinforcement and extinction, while planned ignoring is an effective strategy with limitations.

Shaping is a behavior modification technique that involves reinforcing behaviors that are closer and closer to the desired target behavior. Instead of waiting for the complete behavior to occur, shaping allows for gradual progress by reinforcing successive approximations.

For example, in dog training, shaping can be used to teach a dog to roll over. Initially, the trainer may reinforce the dog for lying down, then for turning its head, then for rolling partially, until the dog eventually performs a full roll. This demonstrates how shaping breaks down a complex behavior into manageable steps.

Reinforcement and extinction are integral to the shaping process. Reinforcement involves providing rewards or positive consequences to strengthen and increase the frequency of desired behaviors.

In shaping, reinforcement is used to reward each successive approximation, encouraging the individual or animal to continue moving towards the target behavior.

On the other hand, extinction is the process of eliminating undesired behaviors by withholding reinforcement. By no longer providing rewards for an undesirable behavior, the behavior gradually decreases and eventually becomes extinct.

Planned ignoring is a strategy that can be effective in extinguishing undesirable behavior. It involves deliberately withholding attention or reinforcement when the undesired behavior occurs.

For example, a parent might choose to ignore a child's tantrum to discourage its recurrence. This approach works by removing the reinforcing element of attention, causing the behavior to diminish over time.

However, planned ignoring may not be appropriate in situations where immediate intervention or safety concerns are involved, as it relies on the absence of reinforcement and may prolong undesirable behaviors in certain cases.

In the context of a Christian walk, shaping can be understood as God's influence and guidance in shaping thoughts and behaviors. Through teachings, scripture, prayer, and spiritual growth, individuals are guided towards conforming to godly principles and values.

God shapes our character, molds our perspectives, and helps us develop behaviors that align with His will. It is through the process of learning and growing in faith that our thoughts and behaviors are transformed to reflect the teachings of Christ.

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Answer:

Step-by-step explanation:

The quadratic function in vertex form is  f(x) = -(x + 5)^2 - 23

To find the quadratic function in standard form, we first need to determine the factors of the quadratic equation that corresponds to the given x-intercepts. Since the x-intercepts are at x = -12 and x = 2, we can write the quadratic equation in factored form as:

f(x) = a(x + 12)(x - 2)

where a is a constant that we need to determine.

To find the value of a, we can use the given minimum y-value of -49. Since the vertex of a quadratic function occurs at the axis of symmetry, which is the midpoint of the x-intercepts, we can find the x-coordinate of the vertex by taking the average of the x-intercepts:

x-coordinate of vertex = (-12 + 2)/2 = -5

Substituting this value of x into the factored form of the quadratic function, we get:

f(-5) = a(-5 + 12)(-5 - 2) = 49a

Since the minimum y-value is -49, we have:

f(-5) = 49a = -49

Solving for a, we get:

a = -1

Substituting this value of a into the factored form of the quadratic equation, we get:

f(x) = -(x + 12)(x - 2)

Expanding this equation, we get the quadratic function in standard form:

f(x) = -x^2 - 10x - 24

To find the quadratic function in vertex form, we can complete the square on the standard form of the equation:

f(x) = -x^2 - 10x - 24

f(x) = -(x^2 + 10x) - 24

f(x) = -(x^2 + 10x + 25) + 1 - 24

f(x) = -(x + 5)^2 - 23

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Question:

Find f(g(x)) and g(f(x)) 1. F(x) = X-5 g(x)=x²-1​

Solution:

Let f(x) = x-5 and g(x) =x²-1​. Then:

then, we can conclude that:

On the other hand:

this is equivalent to:

this is equivalent to:

then, we can conclude that:

Then, the correct answer is:

and

The area of the bases of the second triangular pyramid will be 3 times the first one.

What is a triangular pyramid?

A tetrahedron is a four-sided, three-dimensional object that is also known as a triangular pyramid. Its triangular base is formed by three triangles, the sides of which meet at the apex above the base.

We are given that a triangular pyramid with a volume of 90 cubic inches has a height of 15 inches.

So, area of the bases is

⇒ Volume = \(\frac{1}{3}\) * A * H

⇒ 90 = \(\frac{1}{3}\) * A * 15

⇒ 90 = A * 5

⇒ A = 18 square inches.

Similarly, another pyramid with a volume of 270 cubic inches has a height of 15 inches.

So, area of the bases is

⇒ Volume = \(\frac{1}{3}\) * A * H

⇒ 270 = \(\frac{1}{3}\) * A * 15

⇒ 270 = A * 5

⇒ A = 54 square inches.

Hence, the area of the bases of the second triangular pyramid will be 3 times the first one.

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Answer:C

Step-by-step explanation:

The angles must equal 180 degrees.

Answer:

I think the answer is b it looks like a equilateral triangle which means all sides are equal.

Answer:

A linear equation has the greatest x power at 1.

If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.

Answer:

yarrak anladın yoksa sıkılırım karşim

Answer:

no real roots

Step-by-step explanation:

Find discriminant of quadratic equation:

A

= 62 - 4aC

2 Identify a,b,c

Identify a,b,c through coefficient:

a

b

C

6

= 12

8

Substitute and calculate

Substitute the value of a,b,c and calculate

discriminant (b2 - 4ac) :

-48

Determine number of solution Determine number of solution with

discriminant:

no real roots

Answer:

About 5 hours

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

The value of the probabilities are

a. P(X < 4) = 0

b. P(X > 3.5) ≈ 0.796875

c. P(4 < X < 5) ≈ 0.5625

d. P(X < 4.5) ≈ 0.703125

e. P(X < 3.5 or X > 4.5) = 0

a. P(X < 4):

To calculate P(X < 4), we need to find the area under the curve of the function f(x) = x/8 for values of x less than 4. However, the given function is only defined for the range 3 < x < 5. Therefore, we cannot directly calculate P(X < 4) using this function. The probability of X being less than 4 is zero since the function does not cover that range.

b. P(X > 3.5):

To calculate P(X > 3.5), we need to find the area under the curve of the function f(x) = x/8 for values of x greater than 3.5. Since the function is defined for 3 < x < 5, we can calculate this probability by integrating the function over the range 3.5 to 5.

Integrating f(x) from 3.5 to 5:

∫[3.5, 5] (x/8) dx = [x²/16] evaluated from 3.5 to 5

= [(5²/16) - (3.5²/16)]

= (25/16) - (12.25/16)

= 12.75/16

= 0.796875

Therefore, P(X > 3.5) ≈ 0.796875.

c. P(4 < X < 5):

To calculate P(4 < X < 5), we need to find the area under the curve of the function f(x) = x/8 for values of x between 4 and 5. We can calculate this probability by integrating the function over the range 4 to 5.

Integrating f(x) from 4 to 5:

∫[4, 5] (x/8) dx = [x²/16] evaluated from 4 to 5

= [(5²/16) - (4²/16)]

= (25/16) - (16/16)

= 9/16

= 0.5625

Therefore, P(4 < X < 5) ≈ 0.5625.

d. P(X < 4.5):

To calculate P(X < 4.5), we need to find the area under the curve of the function f(x) = x/8 for values of x less than 4.5. We can calculate this probability by integrating the function over the range 3 to 4.5.

Integrating f(x) from 3 to 4.5:

∫[3, 4.5] (x/8) dx = [x²/16] evaluated from 3 to 4.5

= [(4.5²/16) - (3²/16)]

= (20.25/16) - (9/16)

= 11.25/16

= 0.703125

Therefore, P(X < 4.5) ≈ 0.703125.

e. P(X < 3.5 or X > 4.5):

To calculate P(X < 3.5 or X > 4.5), we can calculate the sum of probabilities P(X < 3.5) and P(X > 4.5). However, as mentioned earlier, the function f(x) = x/8 is not defined for values less than 3 or greater than 5. Therefore, the probability of X being less than 3.5 or greater than 4.5 is zero.

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Answer:

Solving by the unitary method, we find that 2 cups of flour will remain when the baker finishes making the 4 loaves of bread. Thus, option (A) is the correct option.

Step-by-step explanation:

Unitary method:

According to the question,

The total amount of flour that the baker has = 20 cups.

Amount of flour needed to make 1 loaf of bread = 4 1/2 cups = 9/2 cups.

∴ Amount of flour needed to make 4 loaves of bread = 4 x 9/2 = 18 cups.

∴ Amount of flour remaining after making 4 loaves of bread

= Total amount of flour - Amount of flour needed to make 4 loaves of bread

= 20 cups - 18 cups

= 2 cups.

Thus, 2 cups of flour will remain when the baker finishes making the 4 loaves of bread. Thus, option (A) is the correct option.

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Answer:

144 + x = 264

Step-by-step explanation:

Answer ; They would have made 120 Gingersnap cookies.

120 + 144 =264

hopefully this helps.

- prxsIey

To determine the counter clockwise rotation of 180 degree about the origin

When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

From the rotation formula about the origin counterclockwise 180 degree is

Therefore the correct answer is Option A

Answer:

A

Step-by-step explanation:

Keep it simple, but correct :)