Factor completely 16x8 − 1.

Answer:

Step-by-step explanation:

Thanks Okay

Answer:

11

Step-by-step explanation:

First, order the numbers in the given set from least to greatest:

8 , 9 , 9 , 10 , 12 , 14 , 15 , 15

The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.

In this case, the middle numbers are 10 & 12:

Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:

(10 + 12)/2 = (22)/2 = 11

11 is your median.

~

Answer:

11.

Step-by-step explanation:

12, 10, 14, 9, 8, 9, 15, 15

Arrange in ascending order:

8 9 9 10 12 14 15 15

Here, the median is the mean of the 2 middle numbers:

= (10+12) = 11.

Answer:

Option 2

Step-by-step explanation:

Making the terms based on the words :

⇒ n/3 - 3 (3 is subtracted from one third of a number n)

⇒ < 6 (less than 6)

===============================================================

The inequality is :

⇒ n/3 - 3 < 6

=============================================================

The solution :

⇒ n/3 - 3 < 6

⇒ n/3 < 9

⇒ n < 27

Answer:

The answer is21

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]

[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]

                 = 196 + 169 = 365

 [tex](diagonal)^{2}[/tex] = 365

diagonal = [tex]\sqrt{365}[/tex] = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

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Answer:

Part A: (2x−5)(x+2)

Part B: (5/2,0) and (-2,0)

Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.

Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.

Step-by-step explanation:

2x^2-3x-5=y

(2x-5)(x+1)=y

(2x-5)(x+1)=0

2x-5=0

2x=5

x=2.5

x+1=0

x=-1

you have an even degree (2) and a positive coefficient (2)

therefore as x---> -∞, f(x)----> +∞

also, as x----> +∞, f(x)----> +∞

also notice that this is a parabola that opens upwards so both "ends" approach positive infinity

plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a

Step-by-step explanation:

Answer: hes right

Step-by-step explanation: i took the test

The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.

The magnitude as regards Richter scale is

[㏒(I/I₀]

But we were given l as 10000I₀.

Then if we substitute we have, [㏒(10000I₀./I₀)]

If we simplify we have:

[㏒10000]

Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

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Answer:

[tex]KL=45.6[/tex]

Step-by-step explanation:

Property of a Rectangle: Opposite sides are equal.

This means:

[tex]KL = JM \text{ where JM = 45.6}[/tex]

[tex]KL = 45.6[/tex]

Answer:

multiply the number with 4

Step-by-step explanation:

2 8 32 128

2x4 =8

8×4=32

32×4=128

128×4=512

[tex]\text{First term,}~ a =2\\\\\text{Common ratio,}~ r = \dfrac{8}2 = 4\\\\\text{Nth term} = ar^{n-1}\\\\\text{7th term} = 2 \cdot 4^{7-1} = 2 \cdot 4^6=8192\\ \\\text{Hence, the 7th term in the geometric series is 8192.}[/tex]

ANWER:

rounded o the nearesr tens is 88.6

Answer:

88

Step-by-step explanation:

Because 6 is greater than 5 it will rounded off and 87.6 = 88

Answer:

Step-by-step explanation:

We find a like term and that is 33 so we mutiply 2/3 by 11 and we get 8 22/33 and do the same to 1 10/11 and we get 1 30/33

8 22/33- 1 30/33 since we can do that we give 22 an extra 33

so 7 55/33 - 1 30/33 (just like subtracting we borrow.)

=6 25/33

Basically i converted 1 of the 8 into a fraction which was 33 and added it to 22 which got me 55 from their it was just a basic subtraction problem. think of what i did like this 43-

                                   34

that wont work so you borrow a 1

Answer:

1/2¹⁵ or 2⁻¹⁵

Step-by-step explanation:

2³ / (2⁶)³
2³ / 2¹⁸ (The exponents multiply in such cases)
1 / 2⁽¹⁸⁻³⁾
1/2¹⁵ or 2⁻¹⁵

Answer:

4

Step-by-step explanation:

The p-value to the nearest thousandth. p value > 0.05

A null hypothesis is a statement, in which there is no relationship between two variables. An alternative hypothesis is statement in which there is some statistical significance between two measured phenomenon.

Group 1 n₁ = 50 , x₁ = 12

Group 2 n₂ = 50 , x₂ = 18

p₁ = x₁/n₁ = 12/50 = 0.24

p₂= x₂/n₂ = 18/50 = 0.36

Testing the null and alternative hypothesis

H₀ = p₁ -  p₂= 0

Hₓ =  p₁ -  p₂ < 0

Level of Significance α =0.05

Test Statistic

[tex]\rm z = \dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_2} +\dfrac{p_2(1-p_2)}{n_2}}}[/tex]

On substituting the values

z = -0.12/0.9086

z = -1.32

p value = p(z > -1.32)

p value = 0.0934

Therefore p value > 0.05

Hence we fail to reject H₀ at 5 % level of significance .

There is no significant evidence that the decrease in proportion of tomatoes suffering frost damage for tomatoes sprayed with the kelp extract.

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Answer:

3k+1

Step-by-step explanation:

Answer:

The correct answer is 3k + 1

Step-by-step explanation:

Hope this helps:) Goodluck!

Answer:

  3 1/2 square units

Step-by-step explanation:

For this small triangle whose vertices are on grid points, the use of Pick's theorem will give the area with the least work.

__

Pick's theorem says that the area is ...

  A = i +b/2 -1

where i is the number of grid points inside the boundary, and b is the number of grid points on the boundary.

Here, only the given coordinates are boundary points that are on grid points. (b = 3)

The figure shows us three grid intersections inside the boundary of the triangle. (i = 3)

That means the area is ...

  A = 3 +3/2 -1 = 3 1/2 . . . . square units

_____

Alternate solution

The triangle is bounded by a square 3 units on a side. From that, we can subtract a 2×3 triangle at upper left, a 1×2 triangle at upper right, and a 3×1 triangle at the bottom. That leave a figure area of ...

  A = 3² -1/2(2×3) -1/2(1×2) -1/2(3×1) = 9 -3 -1 -3/2 = 3 1/2 . . . . square units

(The area of a triangle is 1/2bh, where b and h are the base and height of the triangle.)

__

Another alternate solution can be had by using a formula with the vertex coordinates:

  A = 1/2|(x1)(y2 -y3) +(x2)(y3 -y1) +(x3)(y1 -y2)|

  = 1/2|(-8)(3 -5) +(-5)(5 -2) +(-6)(2 -3)| = 1/2|16 -15 +6| = 3 1/2 . . . square units

The type of Nuclear decay that is described where Gold undergoes transmutation is given as 185/79 Au → 181/77 Ir + 4/2 He, it is called Alpha Decay.

An Alpha Decay can be described as a form of radioactive or Nuclear decay where the atomic nucleus releases an alpha particle (also known as Helium Nucleus).

It then converts into a nucleus that is atomic with an atomic number of two and a mass number of four.

Alpha Decay is usually trigged for two key reasons:

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The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

The formula to compute the conditional probability P(A|B) is:

P(A | B) = P(A and B)/P(B)

The above means that the probability of event A such that the event B has already occurred

When the above formula is applied to the give data in the complete, we have:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

Hence, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

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Answer: a,b,d

Step-by-step explanation:

trust

Answer:

28/171

Step-by-step explanation:

The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171

Answer:okay I don’t know what is this but what do you need help with exactly?

Step-by-step explanation:

In this picture dots are clearly shown the frequency of the concert.

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

    2                              1

    3                              1

Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

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Answer:

d) x ≤ 3

Step-by-step explanation:

Answer:

X is a rational number, y is not a rational number, and y is larger.

Step-by-step explanation:

The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.

Answer:A

Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B

Answer: A

Step-by-step explanation:

Answer:

The diameter is 6.76

Please read the exaplanation... it always helps!

Step-by-step explanation:

Area of circle = r^2 pi

if the area is 36 then...

36 = r^2 pi           to solve for r divide both sides by pi

36/pi = r^2

11.45 = r^2             take the square root of both sides

√11.45 = r                 RADIUS = 3.38

then multiply by two since the diameter is 2 (radius) and you get...

diameter = 6.76

i hope this helpssssss!!!!!!!

Answer:

[tex]area = \pi {r}^{2} [/tex]

[tex]36 = 3.14 \times {r}^{2} [/tex]

[tex] \frac{36}{3.14} = {r}^{2} [/tex]

[tex] {r}^{2} = 11.46[/tex]

[tex]r = \sqrt{11.46} [/tex]

[tex]r = 3.39[/tex]

[tex]diameter = 2 \times radius[/tex]

[tex]diameter = 3.39 \times 2[/tex]

[tex] = 6.78[/tex]

Answer:

(4,1)

Step-by-step explanation:

After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)

We conclude that the distance between the home plate and the second base is 107.48 feet.

We know that the distance will be equal to the diagonal of the square. Remember that for  a square of side length S, the diagonal is:

D = S*√2

In this case, the side length is S = 76ft, then the diagonal is:

D = 76ft*√2 = 107.48ft

From this, we conclude that the distance between the home plate and the second base is 107.48 feet.

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The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mr. Ellis has started a vegetable garden.

He bought 15 bags of soil and 3 bags of fertilizer for 282.72.

He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.

Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.

Then we have the linear equations,

15x + 3y = 282.72

5x + 2y = 107.23

On solving the equations 1 and 2, we have

x = 16.25 and y = 12.99

The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.

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The equation [tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex]  = 0 is true

In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominator.

Using digits 0 to 9, no more than once each.

we want to place them in such a way that the division will be zero.

As we know that a quotient is equal to zero iff the numerator is equal to zero and the denominator other than zero.

So if we put some numbers on the numerator in such a way by adding them gives 0.

So, 5 - 3 - 2 = 0

Use all the other numbers in the denominator.

[tex]\frac{5-3-2}{1+4+6+7+8+9}[/tex]  = 0

which is true.

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