In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?

Answer:

3

Step-by-step explanation:

Find the sum of the data set and divide it by the number of data points in the set:

[tex]\text{Mean}=\frac{2+3+1+4+5+2+3+4+3}{9}=\frac{27}{9}=3[/tex]

Therefore, the mean of the data set is 3

Answer:

120 failures

Step-by-step explanation:

1 out of 25    or    1/25 th of 3000

1/25 * 3000 = 120

Answer:

If x = 5, then 3x + 4x - 15 equals 20

Step-by-step explanation:

Here, we are given the value of x, which is 5.

1. Substitute 5 as the value of x in the equation:

3x + 4x - 15 = ?

3(5) + 4(5) - 15 = ?

15 + 20 - 15 = ?

2. Simplify:

15 + 20 - 15 = ?

35 - 15 = ?

20 = ?

3. Check your work:

3x + 4x - 15 = 20

3(5) + 4(5) - 15 = 20

15 + 20 - 15 = 20

20 = 20 ✅

Therefore, if x = 5, then 3x + 4x - 15 equals 20

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Answer:

0.03

Step-by-step explanation:

the first thing you would do in this equation is to deal with the exponent

a negative exponent puts the number under 1

1/10^2

10^2 is also 100

1/100

3 * 1/100 is 3/100 so that is your answer

3/100 is also 0.03

Answer: [tex]\frac{3}{100}[/tex] or 0.03

Step-by-step explanation:

3×[tex]10^{-2}[/tex]

3 × [tex]\frac{1}{100}[/tex]

⇒ [tex]\frac{3}{100}[/tex]

⇒ 0.03

a. The maximum value of the function is 4.

b. The range of x-values for which the function is positive is approximately -1.5 < x < 0.5.

c. The roots of the equation are approximately x = -1.5 and x = 0.5.

To draw the graph of the function y = 3.5 + 4x - 4[tex]x^2[/tex], we can plot the points for different values of x within the range of -3 to +3. Here is the graph:

```      |

  4  |                 ++++++++++

     |             ++++

  2  |          +++

     |      +++

  0  |  +++

     |  

 -2  |      +++

     |          +++

 -4  |              ++++

     |                 ++++++++++

     -----------------------------

    -3    -2    -1     0     1     2     3

```From the graph, we can determine the following:

a. The maximum value of the function y = 3.5 + 4x - 4[tex]x^2[/tex] occurs at the vertex of the parabola. In this case, the vertex is at x = -b/2a, where a = -4 and b = 4. Thus, x = -4/(2*(-4)) = 0.5.

Plugging this value into the equation, we find y = 3.5 + 4(0.5) - 4(0.5)^2 = 4.

b. To find the range of values of x for which 3.5 + 4x - 4[tex]x^2[/tex] > 0, we need to identify the x-values where the function is positive (above the x-axis). From the graph, we see that the function is positive for x values between approximately -1.5 and 0.5.

c. To find the roots of the equation 3.5 + 4x - 4[tex]x^2[/tex] = 0, we need to find the x-values where the function intersects the x-axis. From the graph, we can see that the roots occur at approximately x = -1.5 and x = 0.5.

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The answer is...:

True

Answer:

output = - 68

Step-by-step explanation:

given

output = input × 17

when input = - 4 , then

output = - 4 × 17 = - 68

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

[tex]\rule{300}{1}[/tex]

Answer:

L=8cm W=5cm

Step-by-step explanation:

8+8=16

5+5=10

10+16=26cm

5x8=40cm

Answer:

A is the answer

Step-by-step explanation:

because 3 is shaded

and there is 5 rows with three shaded

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

Step 2: Subtract 3x from both sides.

Step 3: Add 5 to both sides.

Step 4: Divide both sides by -5.

Therefore, the answer is one solution

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

It states that, for a normally distributed random variable:

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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Answer:

 43y2+3 + 7y + 1

Step-by-step explanation:

Differential Calculus, or Differentiation

If we have a function of one variable, ie of the form [tex]y=f(x)[/tex], then in its most basic form differentiation is the study of how a small change in one variable [tex]x[/tex] affects the other variable [tex]y[/tex].

As an real life example, consider the average speed of a moving car:

average speed = distance travelled/ time taken

Obviously, this is an average by definition, but if there existed a formal mathematical link between distance and time, could we build a function that would tell us the instantaneous velocity at every given moment? The study of differential calculus gives strategies for calculating the ratio of a little change in distance to a small change in time, and then calculating the real instantaneous speed by making the small change infinitely small.

Similarly if we wanted to find the gradient of the tangent to a curve at some particular point [tex]A[/tex] we would estimate the gradient by using a chord to a nearby point [tex]B[/tex]. As we move this nearby point [tex]B[/tex]  closer to the tangent point [tex]A[/tex] the slope of the chord approaches the slope of the tangent with more and more accuracy. Again differential calculus provides techniques for us to make the point [tex]B[/tex] infinitesimally close to the point [tex]A[/tex] o that we can calculate the actual gradient of the tangent.

Integral Calculus, or Integration

Suppose we wanted to calculate the area under a curve, [tex]y=f(x)[/tex],  bounded the [tex]x[/tex] =axis, and two points [tex]a[/tex] and [tex]b.[/tex] We could start by splitting the interval  [tex][a,b][/tex]  into [tex]n[/tex] regular strips, and estimating the area under the curve using trapezia (this is the essence of the trapezium rule which provides an estimate of such an area). If we increase [tex]n[/tex] then generally we would hope for a better approximation. The study of integration provides techniques for us to take an infinitely large number of infinitesimally small strips to gain an exact solution.

The Fundamental Theorem of Calculus

Given the above two notions, it would appear that there is no connection between them at first., The Fundamental Theorem of Calculus, on the other hand, is a theorem that connects the rate of change of the area function (which determines the area under a curve) to the function itself. In other words, the area function's derivative equals the function itself.

Visual for  Fundamental Theorem of Calculus for integrals:

[tex]\int\limits^b_af {(x)} \, dx =F(b)-F(a).[/tex]

where F is an antiderivative of [tex]f[/tex]

Physics, Chemistry, all engineering sciences, statistics, economics, finance, biology, computer science, linguistics, to name but a few, are all areas that would be a desert without the use of calculus.

Leibnitz and Newton worked to define the velocity of a planet moving on a curved trajectory. That was not possible without calculus, and both had to invent differential calculus. Differential calculus allows to compare quantities along a curve, and thus their time rate of change.

All of classical physics can be summarized in this operation. Given second derivative (which is Force/mass), find the position as a function of time. This process is called integration. Half of calculus is made with integration, the other half with derivation. All of classical physics rests on these two parts of the calculus.

Quantum mechanics, quantum field theory, electromagnetism, fluid mechanics all use integration and derivation and much more. I rest my case. I hope this helps you gauge the place that calculus occupies in science.

Answer:

so what i think is that *friendship​Step-by-step explanation:

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

simplifying

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= [tex]\sqrt{5}[/tex]

Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

----------------------

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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Answer:

3/8

Step-by-step explanation:

(3/4)/2=3/8

Answer:

Step-by-step explanation:

For the length of AC

cosθ = 14/17

θ = arcCos 14/17

θ = 34.56

Let x = opposite

cot34.56  = 14/x

1.45=14/x

x1.45 = 14

x = 9.66

therefore, the length of AC is 9.66

For angle B is 34.56  

For angle C is 55.44

For Angle C :

90 + c + 34.56   = 180

c = 180 - 124.56

c = 55.44

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

Answer:

600.00

Step-by-step explanation:

Understanding :

600.00 is the actual price of the electric cooker.

Answer:

[tex]y = \frac{x - 3}{2}[/tex]

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. [tex]y = 2x + 3[/tex] becomes [tex]x = 2y + 3[/tex]. Now, solving for y, we get [tex]y = \frac{x - 3}{2}[/tex].

hope this helped! :)

Answer:

Doing something despite difficulty or delay in achieving success.

Step-by-step explanation:

Answer:

continued effort to do or achieve something despite difficulties, failure, or opposition

Step-by-step explanation:

The probability that the next costumer will pay with a credit card is 0.07.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next costumer will pay with a credit card = number of customers that paid with a credit card / total number of customers

8 / ( 8 + 3 + 102)

= 8 / 113 = 0.07

Here is the complete question:

Owen owns a small business selling ice-cream.He knows that in the last week 102 customers paid cash, 3 costumers used a debit card, and 8 costumers used a credit card. Based on these results,express the probability that the next costumer will pay with a credit card as a decimal to the nearest hundredth

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Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!

To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24

This expression is an equation of the first fractional degree. To calculate, let's:

— move the negative - term to the other side of the positive equation, thus adding:

3/4m - 6 = 12

3/4m = 12 + 6

3/4m = 18

— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:

3/4m = 18

3 = 4m . 18

3 = 72m

— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:

3 = 72m

m = 3/72

m = 3÷3 / 72÷3

m = 1/24

Therefore, the correct value of this expression is m = 1/24

Answer:

-1 - 4 i

Step-by-step explanation:

5 - (2 * i) - (2 * (3 + i)) =

-1 - 4 i