Select the correct answer.

What is the measure of the indicated central angle ?



A.
40°
B.
80°
C.
60°
D.
20°
E.
None of the above

Answer:

W (3 , 4) or W (3 . -4)

Step-by-step explanation:

W (3 , y), origin (0 ,0)

WO = √(3-0)²+(y-0)² = √9+y²

WO = 5

√9+y² = 5

9+y² = 25

y² = 16

y = ± 4

W (3 , 4) or W (3 . -4)

Answer:

-4

Step-by-step explanation:

Answer:

narrower

SD is greater

From the above data we get the correct options are narrower SD is greater.

We have given that,

Two movie theaters each surveyed 21 customers to determine their ages the table shows a summary of the results.

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.

Therefore from the above data we get the correct options are narrower SD is greater.

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Answer:

using BODMAS, addition comes before subtraction. 2+5 is 7 and 1000000 - 7 is 999,993

Answer:

18 more bags

Step-by-step explanation:

87 + 95 = 182

200 - 182 = 18

y = -5

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

Answer:

16. r = 20, t = 48

17. a = 104, b = 175

19. 144/252, 20/35

20. 14/21, 18/27

21. 16/48, 12/36

22. 219 grams

23. 5 milligrams

Step-by-step explanation:

Answer:

16. r = 20

     t = 48

17. a = 104

    b = 175

19. [tex]\frac{144}{20} =\frac{252}{35}[/tex]

     7.2 = 7.2

20. [tex]\frac{27}{18}= \frac{21}{14}[/tex]

     1.5 = 1.5

21. [tex]\frac{48}{16} =\frac{36}{12}[/tex]

     3 = 3

22. [tex]\frac{8}{3} :\frac{584}{y}[/tex]

     219 grams of peanuts

23. [tex]\frac{y}{2}: \frac{200}{80}[/tex]

     50 milligrams of medication

Step-by-step explanation:

16. [tex]\frac{r}{32} =\frac{5}{8} =\frac{30}{t}[/tex]

8 · 4 = 32

5 · 4 = 20

r = 20

5 · 6 = 30

8 · 6 = 48

t = 48

17. [tex]\frac{52}{a} =\frac{10}{20} =\frac{b}{350}[/tex]

Here is a different method.

[tex]\frac{10}{20} =\frac{1}{2}[/tex]

52 · 2 = 104

a = 104

350 ÷ 2 = 175

b = 175

22.

[tex]\frac{8}{3} :\frac{584}{y}[/tex]

8 · y = 3 · 584

8y = 1752

8y ÷ 8 = 1752 ÷ 8

y = 219

23.

[tex]\frac{y}{2}: \frac{200}{80}[/tex]

y · 80 = 200 · 20

80y = 4000

80y ÷ 80 = 4000 ÷ 80

y = 50

Answer:

A. 6.75

Step-by-step explanation:

8x+18=4x+57

8x-4x=57-18

4x=39

4x+57=180-(8y+30)

39+57=180-8y-30

96=150-8y

8y=150-96

= 54

y= 54/8 = 6.75

Answer:

[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]

Answer:

Respuesta. el resultado (17) va ser el numerdaor de la fraccion y el denominador se mantiene.

Step-by-step explanation:

Answer:

Area of the image rectangle = 4(Area of the original rectangle)

Step-by-step explanation:

Length of the rectangle given in the graph = 4 units

Width of the rectangle = 2 units

Area of the rectangle = Length × Width

                                    = 4 × 2

                                    = 8  square units

Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]

Length of the image rectangle = 2(4)

                                                   = 8 units

Similarly, width of the image rectangle = 2(2)

                                                     = 4 units

Area of the image rectangle = 8 × 4

Area of the image = Area of the original × 4

Area of the image = 4(Area of the original)

Area of the image rectangle = 4(Area of the original rectangle)

Answer:

10.1

Step-by-step explanation:

Answer:

10.1 units

Step-by-step explanation:

Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1

Answer: the answer is c

Step-by-step explanation:

9514 1404 393

Answer:

  C.  ≥

Step-by-step explanation:

The wording "at least" means the same as "greater than or equal to," both in English and in math. The latter is usually how we describe the symbol ≥.

So, when (something) is "at least" 18, the symbol to use to describe that is ...

  (something) ≥ 18 . . . . . . matches choice C

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is [tex]\hat y = a+bx[/tex] where:

[tex]a=\overline y-b \overline x[/tex]

[tex]b=\frac{r*s_y}{s_x}[/tex]

We are given that [tex]\overline y=75[/tex], [tex]s_y=8[/tex], [tex]\overline x=280[/tex], [tex]s_x=30[/tex], and [tex]r=0.60[/tex], therefore our slope, [tex]b[/tex], is:

[tex]b=\frac{r*s_y}{s_x}[/tex]

[tex]b=\frac{(0.60)(8)}{30}[/tex]

[tex]b=0.16[/tex]

Therefore, the slope of the regression line is 0.16, which can be used along with the values of [tex]\overline y[/tex] and [tex]\overline x[/tex] to find the constant [tex]a[/tex]:

[tex]a=\overline y-b \overline x[/tex]

[tex]a=75-(0.16)(280)[/tex]

[tex]a=30.2[/tex]

This means our final regression line is [tex]\hat y = 30.2 + 0.16x[/tex]

Problem 5:

The slope, [tex]b=0.16[/tex], means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), [tex]a=30.2[/tex], means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

[tex]R^{2}=(0.60)^{2}=0.36=36\%[/tex]

Problem 8:

The fraction of variability (aka. coefficient of determination), [tex]R^2[/tex], means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

Answer: c

Step-by-step explanation:

The area of pentagon ABCDE is 36 times the area of pentagon PQRST. Therefore, the option C is the correct answer.

Any five-sided polygon or 5-gon is referred to as a pentagon. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting.

We know the formula for the area of a pentagon, therefore, the area of the pentagon PQRST can be written as,

A= 1/4 ×√(5(5+25)×a²

Given that the side of the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, therefore, the area of the pentagon ABCDE can be written as,

Area of a ABCDE = 1/4 ×√(5(5+25)×(6a)²

= 1/4 ×√(5(5+25)×36a²

= 36A

Therefore, the option C is the correct answer.

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The behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros is as follows:

At x ≈ -4.919 and x ≈ -0.488, there are local minima.

At x ≈ 1.752, there is a local maximum.

Let's analyze the behavior of the graph of the function y = -x^3 - 5x^2 - 3x + 9 at each of its zeros in more detail.

To find the zeros of the function, we need to solve the equation -x^3 - 5x^2 - 3x + 9 = 0.

To simplify the calculations, let's use a numerical method like the Newton-Raphson method to approximate the zeros. We'll start with initial guesses and iteratively refine them to improve the accuracy of the solutions.

Initial guess: x_0 ≈ -5

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

where f(x) = -x^3 - 5x^2 - 3x + 9

f'(x) = -3x^2 - 10x - 3 (derivative of f(x))

x_1 = -5 - (-5^3 - 5(-5)^2 - 3(-5) + 9) / (-3(-5)^2 - 10(-5) - 3)

≈ -4.919

Initial guess: x_0 ≈ -1

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = -1 - (-1^3 - 5(-1)^2 - 3(-1) + 9) / (-3(-1)^2 - 10(-1) - 3)

≈ -0.488

Initial guess: x_0 ≈ 2

Applying the Newton-Raphson method:

x_1 = x_0 - f(x_0) / f'(x_0)

x_1 = 2 - (2^3 - 5(2)^2 - 3(2) + 9) / (-3(2)^2 - 10(2) - 3)

≈ 1.752

After iterating through the Newton-Raphson method, we approximate the zeros as follows:

x ≈ -4.919

x ≈ -0.488

x ≈ 1.752

Now, let's analyze the behavior of the graph at each zero:

x ≈ -4.919:

When x is close to -4.919, y is close to zero. Since the coefficient of the leading term (-x^3) is negative, as x approaches -4.919 from the left side, the graph of the function will be decreasing. As x approaches -4.919 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -4.919 is a local minimum.

x ≈ -0.488:

When x is close to -0.488, y is close to zero. Similarly, as x approaches -0.488 from the left side, the graph will be decreasing, and as x approaches -0.488 from the right side, the graph will be increasing. Therefore, the behavior of the graph near x ≈ -0.488 is also a local minimum.

x ≈ 1.752:

When x is close to 1.752, y is close to zero. In this case, as x approaches 1.752 from the left side, the graph will be increasing, and as x approaches 1.752 from the right side, the graph will be decreasing. Therefore, the behavior of the graph near x ≈ 1.752 is a local maximum.

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Answer:

8.40

Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.

Answer:

The new total will be $8.40.

Step-by-step explanation:

The 30% off discount gives you $3.60 off of your purchase.

Answer: 4128

Step-by-step explanation:

Answer:

The formula of a²-b² are as follows:

Step-by-step explanation:

(a-b)(a+b)

(a-b)(a+b) is the answer

Answer:

Yes they are wrong, rational & irrational ones down below.

Step-by-step explanation:

So, lets start this by asking, what is a rational and irrational number?

Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.

Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.

Note that the symbols listed above such as pi are values that are neverending.

Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.

So, we start off with:

-13/3

I do not see a square root.

I do not see a symbol such as pi either.

It is not a ever going number.(number that continues infinitly)

So -13/3 is a rational number.

Next we have [tex]\sqrt{37}[/tex]

immediatly we tell it has a square root.

So [tex]\sqrt{37}[/tex] is a irrational number.

Next we have 0.1234

This is not a every going number.

There isnt a square root.

And it isnt a symbol.

So 0.1234 is a rational number.

Next we have [tex]-\sqrt{100}[/tex]

Again, we can immediatly know it has a square root.

So  [tex]-\sqrt{100}[/tex] is a irrational number.

Next we have -77

This is not every going.

It doesnt have a square root.

It doesnt have a symbol.

So -77 is a rational number.

Lastly we have   [tex]-\sqrt{12}[/tex]

Like the other ones, we can imediatly tell it has a square root.

So [tex]-\sqrt{12}[/tex] is a irrational number.

Bascially, to answer further questions, here is the criteria for a number being rational:

If one of these criterias are not met, then you know its a irrational number.

Hope this helps! :D

Answer:

OPTION A& D

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

2/6 so the last box

Step-by-step explanation:

2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.

Answer:

The last box

Step-by-step explanation:

Answer:

Vertex means the highest or lowest coordinate in a parabola (and also absolute value)

Here we see the lowest point is (-2,0), so the vertex is (-2,0)

A standard quadratic equation is written as a(x-h)^2+k

h and k are the vertex coordinate h is x and k is y

so by finding the vertex we found that h = -2 and k = 0

so you plug it in

a(x-(-2))^2+0=y

a(x+2)^2=y

when finding a, you take a random point in the graph and plug it in and solve it

lets take (-1,1)

so its a(-1+2)^2 = 1

a(1)^2 = 1

a=1

so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

it would be c

Step-by-step explanation:

Answer:

A first-order observation is that earthquakes and volcanoes occur across most of the continental region, and in parts of the oceanic region offshore East Africa.

Step-by-step explanation:

Ο   Ο

  ω

Answer: 1) Using the order of operations, you first have to multiply the amount of each item by it's price, and then add those values. So for Pablo, you would do (0.50 x 1) + (0.75 x 3) + (1.25 x 3) and solve within the parentheses to get .50+2.25+3.75=$6.50

2) For Laurie, use the same method from #1. First multiply and then add, like so: (0.5 x 2) + (1.25 x 3) + (0.75 x 3) ---> 1+3.75+2.25, which equals $7

3) Laurie > Pablo

   $7.00 > $6.50

Step-by-step explanation:

The term order of operations is also known as PEMDAS

Parentheses

Exponents

M/D - Multiplication/Division (whichever comes first in the equation)

A/S - Addition/Subtraction (whichever comes first)

Hope this helps!

Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

Answer:

6 1/10

Step-by-step explanation:

4,5 + 1,6 = 6,1 = 6 1/10

Answer:

-2x^2-6x-15=0

Step-by-step explanation:

Shift the 15 to the other side to get ax^2+bx+c

-2x^2-6x-15=0

Answer:

Negative integers

Step-by-step explanation:

Answer:

I believe it is 12.

Step-by-step explanation:

Answer:

[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]