Which table represents a function?
GO
х
-3
0
-2
8
y
-1
0
-1
1
х
-5
0
-5
6
y
-5
0
5
-6
х
-4
-2
-2
0
у
8
2
4
2
х
-4
3
1
-4
у
2.
5
3
0

Answer:

2.46×10

Step-by-step explanation:

24.6

2.46 ×10

.....................

Answer:

Step-by-step explanation:

Given x = 5, y = 3/4 and z = -1/7, 2=we are to calculate [tex]\frac{xz}{y}[/tex]. Substituting the value of x, y and z into the expression will give;

[tex]= \frac{xz}{y}\\\\ \frac{5(-1/7)}{3/4} \\= \frac{-5/7}{3/4}\\\\= \frac{-5}{7} * \frac{4}{3}\\ \\ = \dfrac{-20}{21}\\[/tex]

Hence the value of the expression is -20/21

Answer:

common ratio = 2

Step-by-step explanation:

T6 = ar^5

T3 = ar²

T6 = 8 x T³

ar^5 = 8 x ar²

ar^5/ar² = 8

r³ = 8

r = ³√8

r = 2

Answer/Step-by-step explanation:

[tex] (4 + 5) + 2 = 4 + (5 + 2) [/tex] => any combination of numbers were formed or grouped when adding. The associative property of addition was applied.

[tex] 2(2x + 4) = 4x + 8 [/tex] => the sum of two terms (addend) are multiplied by by a number separately (I.e., a(b + c) = a(b) + a(c) = ab + ac). The property applied is distributive property.

[tex] (7x * x) * 3 = 7 * (x * 3) [/tex] => the numbers were grouped in any combination to arrive at same result when multiplying. Associative property of multiplication was applied.

[tex] (8 * x * 2) = (x * 8 * 2) [/tex] => the numbers where ordered in any manner to arrive at same result when multiplying. Cummutative property of multiplication was applied.

[tex] (7 + 3) + 1 = (1 + (7 + 3) [/tex] => the order in which the nnumbers in the were arranged doesn't matter, as same result is arrive at. This is Cummutative property of addition.

Answer:

V =140 units^3

Step-by-step explanation:

The volume of the prism is V = Bh

Where B is the area of the base and h is the height

B is the area of the triangle

B = 1/2 (5 * 7) = 35/2

V = 35/2 * 8

V =140 units^3

Answer:

yes me me me me me ,,,,,,,,,,,,,,,,,,,, ....

The domain is the input values, which are the x values.

The x values in the given pairs are: 8, 0,4,-3

The domain set is (-3, 0, 4, 8)

The required domain of the set of ordered pairs is [8, 0, 4, -3]

Given that,

Set of ordered pair; (8, -13); ( 0,-5); (4, -9); (-3,2).

We have to determine,

The domain of the set of ordered pair.

According to the question,

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

A relation is a set of ordered pairs.

The domain is the set of all the first components of the ordered pairs.

Then,

Set of ordered pair; (8, -13); ( 0,-5); (4, -9); (-3,2).

Here, Set of all the input values on the x-axis.

Therefore,

The set of values of x is { 8,0,4,-3 }

Hence, The required domain of the set of ordered pairs is [8, 0, 4, -3]

To know more about Domain click the link given below.

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Answer:

see below

Step-by-step explanation:

the simple answer is -270000

Answer:

Base area (B) should not be added.

Step-by-step explanation:

Base area should not be added as cone is not solid. Only Lateral surface area is sufficient in order to find the required paper.

Answer:

[tex]h'(x)=0[/tex]

Step-by-step explanation:

By definition, the derivative of [tex]f(x)[/tex] is given by:

[tex]\displaystyle \frac{dy}{dx}=f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}[/tex]

Given [tex]h(x)=c\pi[/tex], [tex]h(x+4)[/tex] must also be [tex]c\pi[/tex]. Therefore, we have:

[tex]\displaystyle h'(x)=\lim_{h\rightarrow 0}\frac{c\pi - c\pi }{h},\\h'(x)=\lim_{h\rightarrow 0}\frac{0}{h}=\boxed{0}[/tex]

Note that the derivative of a constant is always zero since for [tex]f(x)=c[/tex], where [tex]c[/tex] is some constant, [tex]f(x)=f(x+h)[/tex] and we obtain [tex]c-c[/tex] in the numerator, yielding a final answer of zero.

Step-by-step explanation:

whaatttttttttttttttt

Answer:

0

Step-by-step explanation:

-456 +456

( - , + ) = -

so answer is 0

Answer:

0

Step-by-step explanation:

bc i know

Answer:

1st:

[tex] {x}^{3} - 3 { x}^{2} - 3[/tex]

2nd:

[tex] {x}^{2} - 5x + 4[/tex]

3rd:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

Graph all of them and see which ones cross the x- axis at the same points.

9514 1404 393

Answer:

  the yield in year 0

Step-by-step explanation:

The y-value is the yield for farms in France in year x. The y-value when x=0 is the yield for farms in France in year 0.

_____

Additional comment

The reasonable domain for this function is approximately 1843 ≤ x ≤ 2186. The function is effectively undefined for values of x outside this domain, so the y-intercept is meaningless by itself.

Answer:

Its A

Step-by-step explanation:

The tangent of the given circle is FG hence the correct option will be an option (B).

The tangent of a circle is a line that intersects the circle at the periphery of the circle.

If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.

Given the circle it's clear that the tangent is only FG hence it will be the correct option  

A circle can have an infinite number of tangents.

In other words, a straight line that only touches a circle twice is said to be tangent to it. The term point of intersection refers to this location

At the tangent line, the tangent to a circle is orthogonal to the radius.

For more information about the tangent of the circle

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Answer:

some particle traveled through empty spaces between atoms and some particles were deflected by electrons

Step-by-step explanation:

The motion of particles will be

some particle traveled through empty spaces between atoms and some particles were deflected by electrons.

So, the observation made the stamement

Then, motion of particles will be

some particle traveled through empty spaces between atoms and some particles were deflected by electrons.

Learn more about Rutherford Experiment here:

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Answer:

x=3 and y=2

Step-by-step explanation:

Comparing the oder pair, we have 3x=9 and 10=5y. x=3 and y=2

Answer:

0.1575.

Step-by-step explanation:

Here, as they are independent, we multiply the probabilities:

P( A and B) = 0.35*0.45

= 0.1575.

The probability that both events will occur simultaneously is 0.1575.

Given that, the events A and B are independent with P( A) = 0.35 and P( B) = 0.45.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Since, the events A and B are independent

We have P(A and B)

= P(A) × P(B)

= 0.35 × 0.45

= 0.1575

Hence, the probability that both events will occur simultaneously is 0.1575.

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Answer:

The  95% confidence interval is  [tex]295.9 < \mu< 324.1[/tex]

A   95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

    The sample size is  [tex]n = 25[/tex]

    The mean is  [tex]\= x = 310 \ mg[/tex]

     The standard deviation is  [tex]\sigma = 36 \ mg[/tex]

Given that the confidence level is  95% then the level of significance is mathematically represented as

           [tex]\alpha = 100 - 95[/tex]

=>        [tex]\alpha = 5\%[/tex]

=>        [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table , the value is  

           [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

        [tex]E = 1.96 * \frac{36 }{\sqrt{25} }[/tex]

        [tex]E = 14.1[/tex]

The 95% level of confidence interval  is mathematically represented as

      [tex]\= x - E < \mu<\ \= x - E[/tex]

substituting values

     [tex]310- 14.1 < \mu< 310+ 14.1[/tex]

     [tex]295.9 < \mu< 324.1[/tex]

The  95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

False!

The answer is: False.

Whomever stated the answer is "true" is wrong.

Answer:

Term is something that is being added together. Factor is something that is being multiplied together. Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together.

Step-by-step explanation:

Answer:

base = 5.6 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 5.88 cm²

height = 2.1 cm

5.88 = 1/2 * base * 2.1

5.88 = 1.05 base

5.88 / 1.05 = base

base = 5.6 cm

the area of triangle is 5.25 sq cm what is length of base

186|2

93|3

31|31

1

310|2

155|5

31|31

1

434|2

217|7

31|31

1

[tex]186=2\cdot3\cdot31\\310=2\cdot5\cdot31\\434=2\cdot7\cdot31\\\\\text{hcf}(186,310,434)=2\cdot31=62[/tex]

Answer:

5 11/20

Step-by-step explanation:

1 3/4 + 3 4/5

Get a common denominator of 20

1 3/4 * 5/5   + 3  4/5 *4/4

1 15/20    + 3  16/20

4 31/20

Rewriting

4 + 20/20 + 11/ 20

4+1 + 11/20

5 11/20

Answer:

R35625

Step-by-step explanation:

(R30,000×.125×18/12)+R30000

=R35625

Answer:

y = 5x^2-5x-30

Step-by-step explanation:

A parabola with x-intercepts at (-2,0) and (3,0) has the equation

y = a(x+2)(x-3)

where a is to be determined.

We know that it passes through the point (0,-30), so

-30 = a(0+2)(0-3) = -6a

Therefore solve for a to get

a = 5

y = 5(x+2)(x-3)

y = 5(x^2-x+6)

y = 5x^2-5x-30

9514 1404 393

Answer:

Step-by-step explanation:

1. de Moivre's theorem (or identity) states that ...

  [tex](\cos(\theta)+i\sin(\theta))^n=\cos(n\theta)+i\sin(n\theta)[/tex]

It is a statement about powers of complex numbers, so is related to the complex plane.

__

2. To graph a parametric equation, you need to know the relationship between the parameter and the coordinates you want to graph.

__

3. Here are the relationships:

  (x, y) = (r·cos(θ), r·sin(θ))

  (r, θ) = (√(x² +y²), arctan(y/x)) . . . with attention to quadrant