Find the value of a when x=10 a=5x(squared)/2

Answer:

p = 308

Step-by-step explanation:

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

24 will be your answer.

Step-by-step explanation:

Answer:

108 inches

Step-by-step explanation:

6X6X3

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

Answer:

500

Step-by-step explanation:

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

The answer: C/16 + (–7) + 22 + (–12)

Answer:

C) 60 degrees

Step-by-step explanation:

An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.

Answer:

a B and c because there the shape of the big triangles

Answer:

156

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

26 for every 1/6

So we multiply 26 times 6 to get the full minute

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

Answer:

Step-by-step explanation:

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Answer:

X=11+ √157/12

x= 11-√157/12

Step-by-step explanation:

2x+3=12x^2 -20x

Move all terms to one side.

2x+3−12x2+20x=02x+3−12x ^2+20x=0

Simplify  

22x+3−12x^2=0

Use the Quadratic Formula.

a= -12

b= 22

c= 3

Answer: -4096

Step-by-step explanation:

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

Answer:

42 in.²

Step-by-step explanation:

We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²

:DDD hope I was able to help

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2