Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
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Answer:

The common ratio of the geometric sequence is -4

Step-by-step explanation:

Geometric Sequence

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

[tex]a_n=a_{n-1}*r[/tex]

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]

Make sure it's a fixed number and test with the third term:

[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]

Since both numbers coincide, the common ratio of the geometric sequence is -4

Answer:

Each person has 1/4 of a peice of paper

Step-by-step explanation:  Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:T = 0.6

Step-by-step explanation:Simplifying

3t + -5 = 0

Reorder the terms:

-5 + 3t = 0

Solving

-5 + 3t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 3t = 0 + 5

Combine like terms: -5 + 5 = 0

0 + 3t = 0 + 5

3t = 0 + 5

Combine like terms: 0 + 5 = 5

3t = 5

Divide each side by '3'.

t = 1.666666667

Simplifying

t = 1.666666667

Answer:

t = 5/3

t = 1 2/3

Step-by-step explanation:

Hi !

3t - 5 = 0

3t = 0 + 5

3t = 5

t = 5/3

t = 1 2/3

Good luck !

Answer:

230

Step-by-step explanation:

You should multiply 345 by 2/3 or you can divide 345 by 3, which equaks 115 and then multiply 115 by 2 which equals 230.

The number of boys in the school is 207.

Given

The ratio of girls to boys in a school simplifies to 2:3.

We need to find out how many boys are there if there are 345 students in the school.

The ratio gives us an idea between two quantities.

It is denoted by a:b

Example:

The ratio of apple and mango in the basket is 1:2.

The total number of fruits is 12.

Apple = [ 1 / (1+2) ] x 12 = (1/3) x 12 = 4

Mango = [ 2/(1+2) ] x 12 = (2/3) x 12 = 2 x 4 = 8

We have,

Total number of students = 345

The ratio of girls to boys = 2:3

The number of boys :

= [ 3 / (2+3) ] x 345

= [ 3/5 ] x 345

= 3 x 69

= 207

Thus the number of boys in the. school is 207.

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Answer:

I would say 15 ounces

Answer:

585 km

Step-by-step explanation:

rate of speed formula: distance/time

455/7=65

65*9=585

Answer:

X = 1/2f - 1

Step-by-step explanation:

X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

Answer:

since [tex]17+24=41[/tex]

a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]

b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]

c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]

d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]

Just calculate these. If there is anything wrong just let me know.

Answer:

55

Step-by-step explanation:

This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]

The value of the function f(x) at x = - 2 is equivalent to 32.

Given is that the average rate of change of the function f(x) on the interval -2 is less than or equal to [x] which is less than or equal to 4 is -3.5.

In the range of {- 2 ≤ x ≤ 4}, the rate of change of f(x) is -3.5. This means we can write -

r = {f(4) - f(-2)}/(4 + 2)

f(4) = 11 and [r] = - 3.5. So, we can write -

- 3.5 = {11 - f(-2)}/6

11 - f(-2) = -3.5 x 6

11 - f(-2) = - 21

f(-2) = 11 + 21

f(-2) = 32

Therefore, the value of the function f(x) at x = - 2 is equivalent to 32.

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Answer:

7 x 5 = 35 or the amount lost

Step-by-step explanation:

Step-by-step explanation: He will get the answer correct because if you add the 6 & 1 together it equals Seven. Seven was the original number that was supposed to be subtracted from 16.

Sorry if I didnt help

Answer:

4

out of  

32

−

4

x

.

4

(

8

−

x

)

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D) positive association because the data on the scattergraph is decreasing (y axis) as the x axis increases.

Basically the data: theres a cluster, an outlier and has a negative association. Not a positive association.

Answer:

5.150214592274678

Step-by-step explanation:

Answer:

12/21

Step-by-step explanation:

12/7 /3 = 12/7 * 1/3

12/7 * 1/3 = 12*1 / 7*3

12*1 / 7*3 = 12/21

Answer:

1. 3>-3

2. 12<24

3. -12>-24

4. 5=-(-5)

5. 7.2>7

6. -7.2<-7

7. -1.5=-3/2

8. -4/5>-5/4

9. -3/5=-6/10

10. -2/3<1/3

Step-by-step explanation:

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

[tex]P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01[/tex]

Compute the missing probabilities as follows:

[tex]P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99[/tex]

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

[tex]P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}[/tex]

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

[tex]P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}[/tex]

              [tex]=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667[/tex]

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

Step-by-step explanation:

Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁).  The distance between them can be found with distance formula:

d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)

d = √((Δx)² + (Δy)²)

Factor out Δx:

d = √(1 + (Δy/Δx)²) Δx

Adding up the distances from i=1 to i=n, the total arc length can be approximated as:

s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Taking the limit as n approaches infinity, we get the exact value of s:

s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Which can be written as a definite integral:

s = ∫ₐᵇ √(1 + (dy/dx)²) dx

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Look where the graph crosses the vertical y axis. This point is the y intercept.

In this case, the y intercept is located at (0, -1)

You start at the origin (0,0) and move down 1 unit to get to (0, -1)

Side note: The equation of this line is y = 2x-1

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG