Please please please answer this and show the steps. I’ll give Branliest to whoever replies first

Answer:

the numbers are 8 and 3.

The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know,

The act of using mathematics to address issues in the actual world is known as mathematical thinking.

As the pentagon has 5 sides and 5 lines of symmetry.

The pentagon's lines of symmetry are apart 72(360/5) degrees apart.

Similarly in the triangle, the sum of the interior angle is 180 degrees

The triangle lines of symmetry are 60(180/3) degrees apart.

Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

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Answer:

jon

Step-by-step explanation:

he owes less because his banks account is not in the negitives

Answer:

7514 US pints

Step-by-step explanation:

I'm not genius and I'm not sure if it is correct but I hope that

1011 pints and 2023 cups

Step-by-step explanation:

hope it helps!

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.

Let W be the set of all vectors

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)

where b and d are real.

We can write the matrix as;

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,

\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

These are independent vectors.

bα + dβ ∈ W. where α, β are independent vectors.

That is WE is a span of {α, β}.

Hence, W is a vector space.

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The complete question is:

Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.

A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.

B. W is a vector space because it contains the zero element.

C. W is not a vector space because it does not have additive closure

D. W is not a vector space because it does not have a zero element.

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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Answer:

7

Step-by-step explanation:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹)

This is the sum of the first 3 terms of the sequence.

The first 3 terms are:

4 × (½)¹⁻¹ = 4

4 × (½)²⁻¹ = 2

4 × (½)³⁻¹ = 1

So the sum is:

∑ᵢ₌₁³ (4 × (½)ⁱ⁻¹) = 4 + 2 + 1 = 7

Answer:

The probabilty is 1/2 for the coin and the probability is 1/6 for the die.

Hope this helps!

Step-by-step explanation:

Answer:

the posibility of getting a six on a die is 21/1 because there is 21 dot's on a die and getting a is 1/1 because there is only 2 sides hope this helps :)

Step-by-step explanation:

The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

The functions are given as:

So, the interpretation of the function c(p(t)) is

The number of calories burned doing push-ups in t seconds

In c(p(45)), the value of t is 45

Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

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Answer:

The length of the hypotenuse is 100.

Step-by-step explanation:

To find the length of the hypotenuse, we use the following formula:

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{28^2+96^2}\)

c=\(\sqrt{10,000}\)

c=100

Therefore, the length of the hypotenuse is 100.

The remainder that will be obtained on dividing the considered polynomial p(x) by (x+2) is given by: Option A: -34

If a polynomial is written in terms of smaller degree polynomial, all in multiplication with each other, then such smaller degree polynomials are called factors of the polynomial.

A polynomial is itself one of its factors.

1 is also a factor of every polynomials.

For this case, we're given that:

\(p(x) = x^3 - 4x^2 + ax + 20\)

One of its factor is  given as (x+1)

Thus, we have:

\(p(x) = (x+1)g(x)\)

where g(x) is also a polynomial since when we divide a polynomial by its valid factor, the result is also a polynomial.
Now, as p(x) is 3 degere polynomial, and p(x) is 1 degree, thus, g(x) is a 2 degree polynomial (powers of x will add up to make the three degree polynomial).

The general form of a 2 degree polynomial is: \(rx^2 + sx + ct\) for r, s and t as constants.

Let we have:

\(g(x) = rx^2 + sx + t\)

Then we get:

\(p(x) = (x+1)(rx^2 + sx + t)\\x^3 - 4x^2+ax + 20 = rx^3 + (r+s)x^2 + (s+t)x + t\)

Comparing coefficients, we get:

\(r = 1\\-4 = r+s\\a = s +t\\20 = t\)

That gives us:

\(r+s=-4\\1+s = -4\\s = -5\)

and

\(a = s+t\\a = -5 + 20 = 15\)

Thus, the polynomial is \(p(x) = x^3 - 4x^2 + 15x + 20\)

Dividing this polynomial by (x+2) by using long division method, we get the quotient as \(x^2 - 6x + 27\) and remainder as -34

Thus, the remainder that will be obtained on dividing the considered polynomial p(x) by (x+2) is given by: Option A: -34

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When using a sample mean absolute deviation as an estimator of the population mean absolute deviation, it may not accurately represent the true value and should be interpreted with caution.

The mean absolute deviations of these samples:

Sample (7, 7): MAD = 0

Sample (7, 8): MAD = 1

Sample (7, 22): MAD = 15

Sample (8, 7): MAD = 1

Sample (8, 8): MAD = 0

Sample (8, 22): MAD = 14

Sample (22, 7): MAD = 15

Sample (22, 8): MAD = 14

Sample (22, 22): MAD = 0

As we can see, the mean absolute deviations of these samples do not center around the value of the population MAD, which is approximately 6.11. The sample MADs vary widely, ranging from 0 to 15.

This indicates that the sample mean absolute deviation is not a consistent estimator of the population mean absolute deviation. The sample MADs obtained from samples of size 2 with replacement can be highly variable and do not reliably estimate the population MAD.

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Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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9514 1404 393

Answer:

  -1350°

Step-by-step explanation:

π radians is 180°, so you have ...

  -15(180°)/2 = -1350°

Answer:

True

Step-by-step explanation:

Relative frequency is the ratio of the occurrence of a singular event and the total number of outcomes. This is a tool that is often used after you collect data. You can compare a single part of the data to the total amount of data collected.

For example, if a particular machine produces 50,000 widgets one at a time, and 5,000 of those widgets are faulty, the probability of that machine producing a faulty widget is approximately 5,000 out of 50,000, or 0.10.

Answer: 4x=35

Step-by-step explanation:

4-8=4 4x=35

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer:

Step-by-step explanation:

Answer:0.375

Step-by-step explanation: put 1.875 in the inside and 5 outside. Then divide.

Mel must serve a minimum of 6 tables per hour to earn more than $25 per hour.

Here, we are given that Mel uses the linear expression (4x + 5) to calculate his hourly earning, in dollars. Here x = number of tables served.

If he wants to earn $25 per hour then the value of the linear equation must be equal to 25. This means-

4x + 5 = 25

4x = 25 - 5

4x = 20

x = 20/ 4

x = 5

Now, if he wants to earn more than $25 per hour, he must serve more than 5 tables. This implies that he must as least serve 6 tables.

Thus, Mel must serve a minimum of 6 tables per hour to earn more than $25 per hour.

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The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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