What is the factored form of 50x^2-8

Answer:

Part A: The appropriate design would be: 300 male patients chosen should be suffering from ruptured disks in the lumbar region of the back, with similar magnitude of pain (or segregating these 300 as per magnitude of pain)

Part B: If the study consisted of 150 male and 150 female patients instead of 300 malepatients, I would change the study design, because the pain level could endure for femalecould vary compare to male.

Part C:Yes, I could design a double-blind, because it is a very good ways to show theeffect of the therapy because neither the participants nor the researchers knows whichgroups of participants is assigned to which treatment, and who are the groups of participant receiving it.

The value of a is 1/64.

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

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Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

We know that the original price was $60, and two discounts were applied. One of 20% and other of 25%.

Then the amount that he paid is given by:

P = $60*(1 - 20%/100%)*(1 - 25%/100%)

P = $60*(0.8)*(0.75)  = $36

We conclude that after the discount and the coupon, Will paid $36 for the skateboard.

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The answers are given below:

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

1. (cos x. cos y)(tan x + tan y) = sin (x+ y)

  (cos x. cos y)(tan x + tan y)

= cos x. cos y (sinx/ cos x + sin y/ cos y)

= sin x cos y + sin y cos x

= sin (x+ y)    [ sin ( x +y)]= sin x cos y + sin y cos x

= RHS

3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]

Using identity

[tex]-\cos ^2\left(x\right)=0[/tex]

cos ² x=0

Applying [tex]x^{n} =0[/tex] then x=0

So, cos x =0

General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].

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The number of biscuits each friend can get would be 2.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Margret divides a packet of 20 biscuits among her 8 friends.

In order to find the number of biscuits each friend gets.

20 / 8

= 2.5

Hence, the number of biscuits each friend can get would be 2.5.

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Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides  then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2[tex]\sqrt{3}[/tex] = 3.46 cm from O

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The value of x, given the data From the question is 2

Left = Right (since the system is balanced)

3 + 3x = 2x + 5

Collect like terms

3x - 2x = 5 - 3

x = 2

Complete question

See attached photo

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Answer:

The answer is tanx

Step-by-step explanation:

This is because, when you graph the trigonometric functions, which can be reresented as: a*(trig sign)*bx + K, the period of the function for sin, cos, csc, and sec are all 2pi divided by "b". However, the formula to find the function of tan or cot graphs is pi divided by b. And, since we don't see any values being multilied to the x in the choices, and we calculate the period for each of them, it concludes that tanx, has a period of pi

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

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Step-by-step explanation:

as the following pic answer should be × -2

Answer:

O -2(x+y=8)

Step-by-step explanation:

If you put the problems beside each other, they look like this;

2x + 5y = 24

  x + y = 8

So you are trying to find a way to simplify the x's

Step 1;

See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.

In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0

Step 2:

if you multiply, you have to do it to the entire problem;

-2(x + y = 8)    (-2 times x, -2 times y, -2 times 8)

-2x + -2y = -16

Step 3:

Go back to your original problem and work it out;

2x + 5y = 24

-2x + -2y = -16

2x and -2x cancel each other out so now you only have;

5y = 24

-2y = -16

Step 4:

Combine like terms;

5y = 24

-2y = -16

3y = 8

Divide by 3

y = 2.6

Step-by-step explanation:

no calculator ? or what is the problem ?

I had to use the calculator too.

so, the square root of 0.00053361 is 0.0231.

Step-by-step explanation:

i hope this is helpful!........

Answer: Transitive property of congruence

Answer:

  5.  Substitution

  6.  Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

  A ≅ A . . . . reflexive property

  A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

  A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

__

In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.

A cylinder is a 3D shape having two circular faces.

The answer is Figure A

Answer:

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.

A ratio shows us the number of times a number contains another number.

Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,

4x + 5x + 6x + 7x + 8x = 1500m

30x = 1500 m

x = 50 m

Now, the length of the wire will be,

4x = 4(50) = 200m

5x = 5(50) = 250m

6x = 6(50) = 300m

7x = 7(50) = 350 m

8x = 8(50) = 400 m

Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.

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The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

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

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

or

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

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Answer:

The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.

The equation in Slope-Intercept Form is y = -2/5 x + 4.

We have given that,

y−2=−2/5(x−5)

We have to rewrite the equation in Slope-Intercept Form.

slope-intercept form is y = mx + b

for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange

so y - 2 = -2/5 x + -2/5 (-5)

= -2/5 x + 2

=> y = -2/5 x + 4

This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).

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[tex]\huge\purple{Hi!}[/tex]

Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.

Answer:

Step-by-step explanation:

Please give me Brainliest!

Answer:

Before discount = $61.25

After discount = $49.00

Step-by-step explanation:

Given information:

The price of the gift before the discount is 100%.

If the $12.25 discount was 20% of the purchase price, then:

⇒ original price (before discount) = (12.25 / 20) × 100 = $61.25

To find the price after the discount, simply subtract the discount from the found original price:

⇒ $61.25 - $12.25 = $49.00

Conclusion

Answer:

-96

Step-by-step explanation:

(20-25)(16+4)-8+(3x4)

=(-5)(20)-8+12

=-100-8+12

=-96

Answer:

umm a plane that's all.

dangit and I don't know

Answer:

275x packages of 720 cashews

Step-by-step explanation:

450-175=275

(a+1)b

a=15 and b=45

(15 + 1) x 45 = 720

Answer:

2/3 + 9.26 is rational

:)

Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

Let x represents hours babysitting and y represents hours tutoring

So, we have:

Earnings = Rate of babysitting * x + Rate of tutoring* y

This gives

Earnings = 5x + 10y

He wants to earn at least $95.

This means that:

5x + 10y ≥ 95

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)

This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

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Answer:

They have too much caramel

Step-by-step explanation:

The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)

The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)

As you can see the amount of has ice-cream has doubled (5x2=10)

but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)

Therfore there is too much caramel for the 'perfect milkshake'

Hope this helps :)

Answer:

It is she will think there is too much caramel

Step-by-step explanation:

This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.