What is the gcf of 10m^3 +45m

The probability that a randomly selected squirrel has a weight less than 3 pounds:  P(x < 3) = 0.0139

What is Probability?

Chance is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes certainty.

Given,

μ = 4.1

σ = 0.5

∴ P(x < 3) = P(z < (3 - μ) / σ)

= P(z < (3 - 4.1) / 0.5)

= P(z < -1.1/0.5)

P(x < 3) = P(z < -2.2)

P(x < 3) = 0.0139

As a result, P(x 3) = 0.0139 is the probability that a squirrel chosen at random weighs less than 3 pounds.

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

Answer:

13 : 8

Step-by-step explanation:

Number of plain bagels sold = 8

Number of rye bagels sold = 13

Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8

Also written as

13/8

Or

13 to 8

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer: It is 13: 8.

The expression

f(t) = 5t + 11

Is read verbally as, "function of t at 5t plus 11."

This is alredy

False. Athlon and A-Series processors manufactured by AMD are x86 compatible, meaning they can execute software and instructions designed for the x86 architecture.

Contrary to the statement, Athlon and A-Series processors manufactured by AMD are indeed x86 compatible. The x86 architecture, developed by Intel, has become the industry standard for personal computers and servers.

AMD, as one of the leading competitors in the processor market, has designed their processors to be fully compatible with the x86 instruction set.

The x86 architecture is characterized by its ability to handle complex and diverse tasks, providing compatibility with a wide range of software and operating systems.

Athlon and A-Series processors, being part of the x86 family, can seamlessly run software applications written for the x86 architecture without any compatibility issues.

This compatibility is essential for ensuring a smooth user experience and allowing users to leverage a vast ecosystem of software and tools that are built for the x86 platform.

AMD has made significant contributions to the advancement of x86 processors, introducing various architectural enhancements and optimizations.

These processors feature multiple cores, advanced cache systems, and support for high-performance computing tasks. They are widely used in desktop computers, laptops, and servers, catering to the needs of both consumers.

These processors are specifically designed to be fully compatible with the x86 architecture, ensuring efficient execution of software and providing users with access to a wide range of applications and tools.

The x86 compatibility of AMD processors is a significant factor contributing to their popularity and widespread use in the computing industry.

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Answer:

-40

Step-by-step explanation:

2 times negative 2 is 4 plus 4 is 8 times negative 5 is -40

Answer:

\(x=3/2=1.5\)

Step-by-step explanation:

So we have the equation:

\(2x-2=4x-5\)

And we want to solve for x. To do this, we need to first isolate the x-variable. So, start by adding 2 to both sides:

\((2x-2)+2=(4x-5)+2\)

The 2s on the left cancel:

\(2x=4x-3\)

Now, subtract 4x from both sides:

\((2x)-4x=(4x-3)-4x\)

The 4xson the right cancel:

\(-2x=-3\)

Now, divide both sides by -2.

\(\frac{(-2x)}{-2}=\frac{-3}{-2}\)

The negatives cancel. The 2s on the left cancel. Therefore:

\(x=3/2=1.5\)

Answer:

SAS ( Side, Angle, Side)

Step-by-step explanation:

Both triangles - shown by the arcs labelled on them - have two known congruent sides, and an angle which they are both equal to.

(No units are needed as this shows already that both triangles are congruent to each other)

Hope this helps

Answer:

Step-by-step explanation:

(9-5+X)+ (39+211)

whats the Solution?

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Answer:

254 + x

Step-by-step explanation:

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Hope this helps

:)

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

The component vector of F parallel to the ramp is approximately 382.2i - 153.2j.



First, we need to find the weight of the boat and trailer that is distributed on each wheel. Since the weight is evenly distributed, we can simply divide the total weight by 2:

440 lb / 2 = 220 lb

Next, we need to find the component vector of the weight parallel to the ramp. To do this, we will use trigonometry and break the weight vector into its x and y components.

Let's start with the y component. The weight vector is acting perpendicular to the ramp, so we need to find the component that is parallel to the ramp. To do this, we can use the sine function:

sin(21°) = y / 220 lb

y = 220 lb * sin(21°) = 75.9 lb

So the y component of the weight vector parallel to the ramp is -75.9 lb (negative because it is acting downwards).

Now, let's find the x component. Again, we need to find the component of the weight vector that is parallel to the ramp, so we can use the cosine function:

cos(21°) = x / 220 lb

x = 220 lb * cos(21°) = 202.9 lb

So the x component of the weight vector parallel to the ramp is 202.9 lb.

Finally, we can put these components together to get the component vector of the weight parallel to the ramp:

Fpar = 202.9i - 75.9j

Rounding to one decimal place, we get:

Fpar = 382.2i - 153.2j

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For the given statement is 2/7, numerator = 2, denominator = 7

The line that divides the numbers 4 and 5 is an example of a fraction and is known as the fraction bar. Here, the number above and below the fraction bar represent the numerator and denominator, respectively. A numerator is used to symbolise the denominator, or the number of parts that make up the whole.

Fractions are used to represent the parts of an entire or collection of items. A fraction is made up of two parts. The number at the top of the line is known as the numerator. It shows the number of identically sized pieces that were taken from the full product or collection. The quantity specified below the line serves as the denominator.

Following division, the quotient is converted to whole numbers, the remainder becomes the new numerator, and the denominator remains constant.

As he ate 2 pieces out of 7 pieces,

the fraction would be 2/7

numerator = 2

denominator = 7

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None of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).

The solution of any trigonometric equation represents the value of the parameter which satisfies the given equation. The solution should lie within a given range and it should have the same value as ±π .

To find the solutions to sin x − cos 2x = 0 on the interval [0, 2π), we can start by using the identity cos 2x = 1 - 2sin² x, which gives:

sin x - (1 - 2sin² x) = 0

Simplifying this equation, we get:

2sin² x - sin x + 1 = 0

We can solve this quadratic equation using the quadratic formula:

sin x = [1 ± √(1 - 8)] / 4

sin x = [1 ± √(-7)] / 4

Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, none of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).

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Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

Answer:

3

Step-by-step explanation:

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

Answer:

Graph B is the answer

The marked price of the television is Rs. 20,000.

The market price is the current price at which a good or service can be purchased or sold.

Here, let the marked price of the television be Rs. x

          Discount = 16% on MP

          VAT = 13% additional on MP

          Total paid amount = Rs. 18984

Now, according to question;

     MP X (1 - Discount) X (1 + VAT) = 18984

              x (1 - 0.16)(1+0.13) = 18984

              x = 18984/(0.84 X 1.13)

              x = 18984 / 0.9492

              x = 20,000

Thus, the marked price of the television is Rs. 20,000.

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hope it helps you friend....!!

:)

Please give Brainlist if it helps...

Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.

Answer: 25

Step-by-step explanation:

Given

The dimension of the candy bars cartoons is \(2\times 3\times 4\ ft^3\)

Dimension of the closet is \(6\times 6\times 17\ ft^3\)

Now, the volume of the closet is

\(V=6\times 6\times 17=612\ ft^3\)

The volume of the candy bar cartoons

\(V_o=2\times 3\times 4=24\ ft^3\)

The number of candy bars that can be put inside the closet is

\(\Rightarrow \dfrac{V}{V_o}\\\\\Rightarrow \dfrac{612}{24}=25.5\approx 25\)

i.e. 25 bars can be inside the closet

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

\(\Delta=144\)

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

\(\Delta=b^2-4ac\)

We have the equation:

\(4x^2-8x-5=0\)

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

\(\Delta=(-8)^2-4(4)(-5)\)

Evaluate:

\(\Delta=64+80\)

Add:

\(\Delta=144\)

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

◈ LHS :

\(:\implies\tt\:sin60\degree\)

\(:\implies\bf\:\dfrac{\sqrt{3}}{2}\)

◈ RHS :

\(:\implies\tt\:\dfrac{2tan30\degree}{1+tan^230\degree}\)

\(:\implies\tt\:\dfrac{2\times \dfrac{1}{\sqrt{3}}}{1+{\large(}\dfrac{1}{{\sqrt{3}}}{\large)}^2}\)

\(:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{3+1}\)

\(:\implies\tt\:\dfrac{2}{\sqrt{3}}\times \dfrac{3}{4}\)

\(:\implies\bf\:\dfrac{\sqrt{3}}{2}\)

Hence Proved !!

Answer: 2,100$

Step-by-step explanation:

Answer:

1 true

2 false

3 false

4 true

Therefore, the decimal represents the fraction is \(0.58\).

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

A radio announcer said that \(58\) of the population in a certain city have listened to a radio station at some time.

So, the simplification is of the form

\(\frac{58}{100}=0.58\)

Hence, the decimal represents the fraction is \(0.58\).

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