Which of the following list contains exactly 2 composite numbers and 2 prime numbers?

The absolute value equations in the form | x - b |= c is x-5<=0

A number's absolute value is defined as how far it is from the origin of a number line. The symbol |a|, which represents the size of any integer "a," is used to represent it. Any integer's absolute value is a real number, regardless of its sign or whether it is positive or negative.  Two vertical lines are used to depict the modulus of an as |a|.

Given,

The absolute value equations in the form | x - b |= c

Where b is a number and C can be either a number or an expression

The equation must be written down for x <= 5

All numbers will be such that x <= 5

So, x-5<=0

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Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

Answer:

r ≈ 6

Step-by-step explanation:

r=  414.78

     π x 11

≈ 5.99848

Because of this, the answer is rounded up to 6, but the exact answer is about 5.99848

Answer:

this isnt related to the question but i hope ur having a good day

Step-by-step explanation:

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

\(3\sin\theta+2\cos\theta=\dfrac{17}{5}\)

Step-by-step explanation:

Given that,

The value of \(\tan\theta=\dfrac{3}{4}\)

We know that, \(\tan\theta=\dfrac{\text{perpendicular}}{\text{base}}\)

\(H^2=B^2+P^2\)

H is hypotenuse

\(H^2=3^2+4^2\\\\H=5\)

\(\sin\theta=\dfrac{P}{H}\\\\=\dfrac{3}{5}\)

And, \(\cos\theta=\dfrac{B}{H}=\dfrac{4}{5}\)

So,

\(3\sin\theta+2\cos\theta=3\times \dfrac{3}{5}+2\times \dfrac{4}{5}\\\\=\dfrac{9}{5}+\dfrac{8}{5}\\\\=\dfrac{17}{5}\)

So, the value is 17/5.

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

g(x) = 4x - (1/2)

Second choice

Step-by-step explanation:

Using points: (-2, -8.5) and (-1, -4.5)

            y2 - y1      -4.5 - (-8.5)      -4.5 + 8.5        4

slope = -----------  = ---------------  =  --------------- =   --- = 4

             x2 - x1         -1 - (-2)              -1 + 2            1

Answer:

the answer should be g(x) = 4x - (1/2)

Step-by-step explanation:

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

Your vehicle will be traveling 110 Feet per Second

Step-by-step explanation:

To find the answer all we have to do is some basic conversion.

1 MPH is equal to 1.4667 FPS.

This means we multiply 1.4667 by 75 and get 110.0025.

Rounded this is 110 FPS.

Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

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is △ABC equilateral?  well, we dunno, however let's check for all sides' length.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)

\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)

well, not quite.

The measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

When a transversal line cuts a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠4 + 60° + 61° = 180° {supplementary angles}

m∠4 + 121° = 180°

m∠4 = 180° - 121° {subtract 121° from both sides}

m∠4 = 59°.

Therefore, the measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

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Answer:

Step-by-step explanation:

4*5-6*2

Answer:

4 × 5 – 6 × 2

Step-by-step explanation:

Answer: 5 1/2 hours OR 5 hrs 30 minutes

Step-by-step explanation:

She travels for 8 hours

Out of this, 2 1/2 hours she takes a break.

She has actually travelled 5 1/2 hours

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

4.275 x 10^9

Step-by-step explanation:

jus do it

Answer:

4.275x10bto the 9th power

Step-by-step explanation:

Answer: 85 units

Step-by-step explanation:

x^2 +35x + 35 = 10235

-10235 on both sides

x^2 + 35x -10200

Now Factor

( x - 85 ) ( x + 120 )

Now plug in for x using 85 or -120

(85)^2 + 35(85) + 35

7225 + 2975 + 35 = 10235

So 85 is the right answer

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Perimeter of the rectangle is: 6x + 6 cm

Area of the rectangle is: 18x - 18 cm²

Area = (length)(width)

Perimeter = 2(length + width).

Given the following:

Length of rectangle = 3x - 3

Width = 6

Area = (3x - 3)(6)

Area = 18x - 18 cm²

Perimeter = 2(3x - 3 + 6) = 2(3x + 3)

Perimeter = 6x + 6 cm

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Answer:

Function B

Step-by-step explanation:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change =  

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

Answer:

two solutions work: x = 5 + \(\sqrt{19}\) and x = 5 - \(\sqrt{19}\)

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + \(\sqrt{19}\), 5 - \(\sqrt{19}\)

Answer:

The greatest possible value of xy is 165.

Step-by-step explanation:

Answer:

the last answer

Step-by-step explanation:

S(x) = 4pix^2

replace S(x) with y => y = 4pix^2

switch x and y variables => x=4piy^2

solve for y

That eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.

Answer:

Step-by-step explanation:

 Limit    of    (x - 1))/(x^2 - 1)

x---> -1

As x  approaches -1 from negative side ( x < -1) the  limit is -infinity.

As x  approaches -1 from positive  side ( x > -1) the  limit is +infinity

"The limit of a sum of functions is the sum of the limits of those functions".

For the given situation,

The equation is expressed as \(\lim_{x \to \ -1} \frac{x-1}{x^{2}-1 }\)

⇒\(\lim_{x \to \ -1} \frac{x-1}{(x+1)(x-1) }\)

⇒\(\lim_{x \to \ -1} \frac{1}{(x+1) }\)

Apply the limit value in x,

⇒\(\frac{1}{-1+1}\)  = ∞

Hence we can conclude that none of the options given are correct. So option (D) is correct.

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Answer:

The third one is \(y=-4x-5\)

The fourth one is \(y=\frac{2}{3}x+4\)

The last one is y = \(- \frac{1}{5} x\)

Step-by-step explanation: