vertex,axis of symmetry,maximum or minimum,max or min value,range​

Answer:

76

Step-by-step explanation:

i need 20 words but i gave a pic of explanation u should learn

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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Answer: the required sample size =1658944

Step-by-step explanation:

When the prior population proportion for the study is unknown , then the formula for sample size is \(Sample \ size = 0.25(\dfrac{z^*}{Margin\ of \ error})^2\)

z-value for 99% confidence = 2.576

\(Sample \ size = 0.25(\dfrac{2.576}{0.001})^2\\\\=0.25(2576)^2\\\\=1658944\)

Hence, the required sample size =1658944

Answer:

it would be 2294 if its 31 x 74 or 105 if its 31 + 74

Step-by-step explanation:

Answer:

The slope of a line can be calculated using the following formula:

```

m = (y2 - y1) / (x2 - x1)

```

where `m` is the slope, `y2` and `y1` are the y-coordinates of the two points, and `x2` and `x1` are the x-coordinates of the two points.

In this case, we have the following points:

```

(x1, y1) = (-3, -1)

(x2, y2) = (3, -10)

```

Plugging these values into the formula, we get the following:

```

m = (-10 - (-1)) / (3 - (-3)) = -9 / 6 = -3/2

```

Therefore, the slope of the line is **-3/2**. So the answer is (c).

Step-by-step explanation:

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer: product distribution?

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

When budgeting for housing, it is generally recommended to allocate a certain percentage of your income towards housing expenses. The recommended percentage varies depending on factors such as location, personal financial goals, and individual circumstances.

A common guideline is to spend no more than 30% of your monthly income on housing expenses. To determine the maximum amount Freya should budget for housing, we can calculate 30% of her monthly income:

Maximum housing budget = 30% of $1575

Maximum housing budget = 0.30 × $1575

Maximum housing budget = $472.50

Therefore, Freya should budget a maximum of $472.50 for housing expenses based on the guideline of spending 30% of her monthly income.

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Answer: 9+d=x or x=9+d

d-the new dvds

x-the unknown total

9-the dvds Zeke owned before

The equation of the graph g(x)  is \(3^{x-6}\)

What is a graph ?

A diagram that shows how a variable's variation compares to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas. all points whose coordinates satisfy a specific relation;

In mathematics, the word "graph" has (at least) two distinct meanings. A function graph or "graph of a function," also known as a plot, is referred to as a "graph" in elementary mathematics. A graph is a set of points and the connections between some subset of those points and their lines, which may or may not be empty.

The translation of the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

If the graph of the function  f(x) = 3^x is translated 6 units to the right , then the function becomes

g(x) = f(x - 6)

     = \(3^{x-6}\)

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Answer:

128cm^3

Step-by-step explanation:

With the given cone and the give formula, we can easily plug in the numbers provdied with one step right before.

While the height and diameter is given, we must use radius when working with volume of a cone, and radius is half of the diameter. In this case, the radius would be 4 cm

Plugging in the rest of the numbers, we get (3 * 4^2 * 8) / 3 which comes to a grand total of 128cm^3

Answer:

L

Step-by-step explanation:

Answer:

y = 0.14 x^2 - 1.43 x + 10.75

Step-by-step explanation:

plato

Answer:

The answer is 23

Step-by-step explanation:

8 · 2=16+7=23

Answer:

23

Step-by-step explanation:

1. Calculate the action in () 8*2 =16

2. Sum 7 + 16 = 23

We are asked to identify which properties of exponent to apply in order to reduce the expression:

This is the property associated with negative exponents that include the fact that we are dealing with a division:

This is the negative exponent property, so for our case we write;

SO find the property I am higlighting in the image below:

The sides of the right triangle are:

a) AC

b) CB

c)  AB

We have the diagram of a right triangle, and we want to identify the side that is opposite to angle B.

That would be the side that does not intercept the vertex B, so it is AC.

Then we want to get the adjacent side to B that is not the hypotenuse.

That would be the side that intercepts vertex B and intercepts the vertex with the small red square, it is CB.

Finally, the vertex is the side opposite to the small red square (90° angle) so it is AB.

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The plane JKPN is a rectangle, and the parallel segments are: ML, LQ, RQ, MR

From the complete question, the plane JKPN has the following features

The second highlight above means that:

The plane MLQR is parallel to the plane JKPN, and the segments on the plane MLQR are parallel to the segments on the plane JKPN

Hence, the parallel segments are: ML, LQ, RQ, MR

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Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

Answer:

-1

Step-by-step explanation:

Took the assignment! :)

The equation of the line MN is y = -x + 2.

The slope is -1.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the slope of the line MN, we can use the formula:

\(m = (y_2 - y_1) / (x_2 - x_1)\)

where\((x_1, y_1) = (-3, 5)\) is the coordinate of point M, and \((x_2, y_2) = (2, 0)\) is the coordinate of point N.

Now,

m = (0 - 5) / (2 - (-3))

m = -5 / 5

m = -1

So the slope of the line MN is -1.

Now that we know the slope, we can use the point-slope form of the equation of a line:

\(y - y_1 = m(x - x_1)\)

where m = -1 is the slope we just found and \((x_1, y_1) = (-3, 5)\) is one of the points on the line.

Plugging in the values, we get:

y - 5 = -1(x - (-3))

y - 5 = -x - 3

y = -x + 2

Therefore,

The equation of the line MN is y = -x + 2.

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Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

Answer:

Simple interest is the cost of using or borrowing money without compound interest or interest on interest. Simple interest works in your favor when you're a borrower because it keeps the overall amount that you pay lower than it would be with compound interest

Step-by-step explanation:

Answer:

Simple Interest is considered "Simple" due to it's straight-forward method; where you add your annual interest rate (%) to your initial principal value, instead of compound which you add your annual interest rate (%) onto your new principal value.

Simple interest is usually used to calculate their first year interest ($).

Answer: -2

Step-by-step explanation:

Answer:

Is there any picture for it?

Step-by-step explanation:

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

It should be 32.

Step-by-step explanation:

Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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