Is 200 a term in the sequence 4, 10, 16, 22,

The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2

2x - 3 < x + 2 ≤ 3x + 5

solve differently

2x - 3 < x + 2

2x - x < 2 + 3

x < 5

x + 2 ≤ 3x + 5

x - 3x ≤ 5 - 2

-2x ≤ 3

x ≥ 3/-2

x ≥ -3/2

Therefore, the solution of the compound inequality is 5 > x ≥ -3/2

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The total cost of 6 wave pool tickets with the discount included would be $73.5.

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

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Answer:

15cm

Step-by-step explanation:

PC = 15

BR = 15

.

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

Answer:

10 is the answer. hj is 10

A function assigns the values. The correct option is B and E.

A function assigns the value of each element of one set to the other specific element of another set.

Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is  16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

Hence, the correct option is B and E.

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Answer:

B and E

Step-by-step explanation:

correct on Edge

Answer:

-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3

Step-by-step explanation:

for this question you are choosing the lines that do not touch

the graphs for the second third and fourth ones all touch

but

the first and last one do not

therefore those are the ones with no solution

Answer:

Graph 1 and Graph 5

Step-by-step explanation:

As the first and final graphs do not intersect at any points on their graphs, they have no solution.

Answer:

f(x)=f(6)= 6^2 - 2*6=36-12=  24

Step-by-step explanation:

This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.

Answer:

  (c)  x = 2 and x = -8

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

__

The rules of logarithms that apply are ...

  [tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]

__

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

  [tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]

__

Adding (6/2)² = 9 to both sides will "complete the square."

  16 +9 = x² +6x +9 . . . . . . . add 9

  25 = (x +3)²

  ±√25 = x +3 = ±5 . . . . . take the square root(s)

  x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]

[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]

[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]

Answer:

There are 16 notes of 20 paise's and 12 notes of 5 paise's.

Explanation:

The amount of notes for of 20 paise and 5 paise coins are not given.

So let there be x 20 paise's coins and y 5 paise's coins.

Equation buildup:

20x + 5y = 380 ___eq 1

20y + 5x = 380 - 60

20y + 5x= 320 ___ eq 2

Make x the subject for both:

1st

[tex]\rightarrow \sf 20x + 5y = 380[/tex]

[tex]\rightarrow \sf 20x = 380-5y[/tex]

[tex]\rightarrow \sf x = 19-0.25y[/tex]

2nd

[tex]\sf \rightarrow 20y + 5x = 320[/tex]

[tex]\sf \rightarrow 5x = 320-20y[/tex]

[tex]\sf \rightarrow x= 64-4y[/tex]

Solve them simultaneously:

[tex]\sf \rightarrow 64-4y =19 - 0.25y[/tex]

[tex]\sf \rightarrow -4y+0.25y =19 -64[/tex]

[tex]\sf \rightarrow -3.75y =-45[/tex]

[tex]\sf \rightarrow y =12[/tex]

Find x:

[tex]\sf \rightarrow x = 64-4y[/tex]

[tex]\sf \rightarrow x = 64-4(12)[/tex]

[tex]\sf \rightarrow x = 16[/tex]

Answer:

add 2 to each side of the equation

Step-by-step explanation:

x-2=10

To solve for x, we need to add 2 to each side of the equation

x-2+2 = 10+2

x = 12

The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.

We have

[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]

Find when the velocity is zero:

[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]

At this time, the acceleration of the particle is approximately

[tex]s''(1.696) \approx \boxed{3.969}[/tex]

(B)

Answer:

7, 3, 2

Step-by-step explanation:

Answer:

Option C,

07, 3, 2

Step-by-step explanation:

Set all zeros to 0

(x-7)=0

x= 7

(x-3)=0

x= 3

(x-2)=0

x= 2

7, 3, 2

Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

square root of 12^2 + 5^2

By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)

A subtraction of squares is a binomial which satisfies the following property:

a² - b² = (a - b) · (a + b)     (1)

If we know that a² = 49 · x² and b² = 36, then we have the following factors:

49 · x² - 36 = (7 · x - 6) · (7 · x + 6)

By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)

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The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

P(Male or Type B) > P(Male |Type B)

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

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Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

Answer:

No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.

Step-by-step explanation:

If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.

So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.

For reference, you can check the attached image also.

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The expression p+2 will denote the statement given

A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.

It is given that

the total number of parrots in the jungle and the 2 parrots your neighbor owns

Let p be the total parrots in the jungle

p+2 will denote the statement given

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The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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Answer:

-20.2a+5.5

subtract the values with a in it and the ones without the a together.

Answer:

[tex]-2\sqrt{3} +2\sqrt{15}[/tex]

Step-by-step explanation:

When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].

Answer:

s = 12 and p = 17

Step-by-step explanation:

→ Set up 2 simultaneous equations

p + s = 29

3s + 2p = 70

→ Rearrange the first equation for p as the subject

p = 29 - s

→ Substitute into 2nd equation

3s + 58 - 2s = 70

→ Solve

s = 12

→ Substitute into first equation

p + 12 = 29

→ Solve

p = 17

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

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Answer:

F(x) = - [tex]\sqrt[3]{x}[/tex]  

Step-by-step explanation:

A square root can only have a positive input for the domain

(The domain is the input for the function)

The cube root can be either negative or positive as an input

F(x) = - [tex]\sqrt[3]{x}[/tex]  can have inputs from negative infinity to infinity

Answer:

y= -x-7

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y intercept

The first thing you must do is isolate y so that it is by itself on the left side of the equation:

-x = y + 7

Subtract 7 to both sides:

-x - 7 = y + 7 - 7

-x - 7 = y

Flip:

y = -x - 7

-x = y + 7 in slope intercept form is y = -x - 7

This means the slope is -1 and the y-intercept of the equation is (0, -7)