Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and the second arc formed is 106 degrees.

In the diagram of circle C, what is the measure of ∠1?
17°
35°
70°
71°

This Bay store can also be described as a big box retailer store.

Big Box Retailer

A big box retailer is a physically enormous retail store that is typically a component of a chain of stores (also known as a hyper store, supercenter, superstore, or megastore). By extension, the phrase, big box retailer can also refer to the business that runs the store.

The Bay Store as a Big Box

There are numerous retail chains that only operate in Canada, aside from the large American big box retailer stores like Walmart Canada and the formerly-existent Target Canada. These include places like Hudson's Bay by Home Outfitters, Loblaws by Real Canadian Superstore, Rona, Winners by HomeSense, Canadian Tire by Mark's & Sport Chek, Shoppers Drug Mart, Chapters by Indigo Books and Music, Sobeys, and several others.

Learn more about big box retailers here:

https://brainly.com/question/16236924

#SPJ4

Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other. Also, their corresponding angles are congruent to each other.

Triangles ABC and triangle PQR are congruent triangles based on angle-side-angle congruency theorem.

Find out more on congruent triangles at: https://brainly.com/question/2938476

#SPJ1

Joanna can assemble her bracelet in 30 ways.

It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.

The rest 4 are of different colors.

Six beads can be arranged in a circle in 6!/6 ways.

This means that the six beads can be arranged in 5! ways.

Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.

5!/2 = 5*4*3*2*1/2

= 60

Now, we know that two beads are of the same color. Therefore, we must divide this by two again.

Therefore, we get:

60/2 = 30

The six beads can be arranged in 30 ways to make the bracelet.

Therefore, we have found that Joanna can assemble her bracelet in 30 ways.

Learn more about permutations here: https://brainly.com/question/1216161

#SPJ4

Answer:

other side is 12

Step-by-step explanation:

Givens

Perimeter = 64 feet

L = 20

Formula

P = 2L + 2w               Substitute Givens

64 = 2*20 + 2w         Combine

64 = 40 + 2w             Subtract 40 from both sides

64-40 = 40-40+2w    Combine

24 = 2w                      Divide both sides by 2

24/2=2w/2              

12 = w

Answer:

abscissa of A = -3

ordinate of B = -6

A+B = -3+(-6)= -3-6=

-9

Answer:

10

Step-by-step explanation:

Answer:

You have to complete around 49 assignments everyday to finish in one week.

Step-by-step explanation:

• First, we have to calculate the number of assignments left to do:

Assignments remaining = 419 - 79

                                        = 340

• There are 7 days in a week, which means 340 assignments need to be completed in 7 days.

7 days  ⇒  340 assignments

1 day    ⇒   340 ÷ 7

            =    48.6

            ≅ 49 assignments

∴ You have to complete around 49 assignments everyday to finish in one week.

The time taken by the ball to get to the ground exists for 7 seconds.

Let, the function [tex]f(x) = -16(x^{2} - 6x- 7)[/tex] represent the height of the ball.

Where x exists the number of seconds.

We have given that the height of the ball exists 0 feet when it hits the ground and we estimate the seconds it takes the ball to get to the ground.

Consider f(x) = 0 and find the value of x.

[tex]0 = -16(x^{2} - 6x - 7)[/tex]

[tex]x^{2} - 6x - 7 = 0[/tex]

Using middle-term separation,

[tex]x^{2} - 7x + x-7 = 0[/tex]

x(x-7) + 1(x-7)=0

(x - 7)(x + 1) =0

x = 7, -1

x = -1 exists rejected as time exists not negative.

x = 7 exists accepted.

The time taken by the ball to get to the ground exists for 7 seconds.

Therefore, the correct answer is option B.7.

To learn more about the value of x refer to:

https://brainly.com/question/4165116

#SPJ9

The median of an equilateral triangle are equal has been proved.

The medians are given as AD, BE, and CF.

Let AB = AC = BC = x unit.

In triangles, BFC and CEB, we've

BF = CE.

ABC = ACB since they're both 60°

BC = BC

By SAS congruence,

BFC = CEB = BE = CF.

Similarly, we've AB = BE

Therefore, AD = BE = CF

median of an equilateral triangle are equal has been proved.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

The corresponding range of the domain is (11, -4, -29)

The function is given as:

5x + y = 1

Make y the subject

y = 1 - 5x

The domain is given as:

(-2,1,6)

Substitute these values in y = 1 - 5x

y = 1 - 5(-2) = 11

y = 1 - 5(1) = -4

y = 1 - 5(6) = -29

Hence, the corresponding range of the domain is (11, -4, -29)

Read more about domain and range at:

https://brainly.com/question/1632425

#SPJ1

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

An hypothetical data for the number of pets 20 sixth graders have has been given and the box plot that displays the data set is in the image below.

A statistical question can be defined as a question that can be answered by collecting a variety of numerical answers that vary. Examples of statistical questions include:

A statistical question you can ask at least 20 different people can be: "How many pets do you have?"

Below is the hypothetical questions that can be assumed you'd get from two people:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

Description of the people you asked can be: 20 sixth graders in your school.

How you gathered your data can be: Asking them to fill a questionnaire or by interview.

The numerical data from least to the greatest, hypothetically would be:

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5

The five-number summary for the hypothetical data would be:

Minimum: 0 (least data point)

Quartile Q1: 1 (middle of the first half of the data distribution)

Median: 1.5 (center of the data)

Quartile Q3: 2.75 (middle of the second half of the data distribution)

Maximum: 5 (greatest data value).

Using the five-number summary generated, the box plot that displays the data set is shown in the image attached below.

Learn more about statistical question on:

https://brainly.com/question/12150562

#SPJ1

Answer:

Given,

Distance traveled = 20 km

Speed = 60 km/h

So, timetaken=DistanceSpeed=2060=13h

For the next journey

Distance traveled = 20 km

Speed = 80 km/h

So, timetaken=DistanceSpeed=2080=14h

Now,

Total distance traveled = 20 + 20 = 40 km

Total time taken = 13+14=712

We know,

Averagespeed=TotaldistancetraveledTotaltimetaken=40712=68.5 km/h

Hence the average speed of the train is 68.5 km/h

Answer:

x = 5

Step-by-step explanation:

                       x - 2(x +1) + 3(x -2) + 2(x - 6) = 0

x + (-2)*x  + (-2)*1 + 3*x +3*(-2) + 2*x + 2*(-6) = 0

                            x - 2x -2 + 3x - 6 + 2x - 12 = 0

                          x - 2x + 3x + 2x - 2 - 6 - 12 = 0

Combine like terms. Like terms have same variable with same power.

                                                          4x - 20 = 0

Add 20 to both sides.

                                                                 4x  = 20

Divide both sides by 4

                                                                   x = 20/4

                                                                   x = 5

Answer:

x = 5

Step-by-step explanation:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

here, we need to distribute the numbers on the outside of the parentheses to the inside numbers.

As you may know, when two numbers are in parentheses, they are to be multiplied--and it is the same idea here.

When we have a number, say 3, multiplied by parentheses, say (x - 2), we multiply all inside numbers by the outside number, which is called distributing.

We know that 3(x) = 3x, and that 3(-2) = -6, so we distribute

3(x  - 2)       to be        3x - 6

let's do that for all of our parentheses:
x  -2(x+1) + 3(x-2) + 2(x-6) =  0

-2( x  + 1 )

-2x   -  2

3(x  - 2)

3x   -  6

2( x  - 6)

2x  - 12

Now, let's rewrite our problem:

x  -2(x+1) + 3(x-2) + 2(x-6) =  0

x     - 2x  - 2    + 3x -6     + 2x - 12    = 0

First, we should combine like terms:

x - 2x  + 3x + 2x          - 2 - 6 - 12    = 0

(x - 2x = -x;  -x + 3x = 2x;  2x + 2x = 4x)

( - 2 - 6 = -8; -8 - 12 = -20

So, we are left with:

4x  -  20 = 0

At this point, we want to get x alone (so that we can find what "x" is)

4x - 20 = 0  

    + 20    + 20       ( add 20 to both sides of the equation to isolate x )  

   4x     =    20

  ÷ 4          ÷ 4           (divide both sides by 4 to find "1"x)

     x  =  5

So, we know that the value of x is 5, or x = 5

hope this helps! let me know if you need clarification on anything :)

The standard deviation is approximately 0.01307. See the explanation below.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

Step 1: First, lets calculate the variance.

The formula for variance is:

[tex]\sigma^2 = \frac{\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]

To get the variance ( s2 ) we must first get the mean. Our mean is 0.99892.

We subtract each value by the mean and square the difference.

(0.978-0.99892)² = 0.0004376464

(0.982-0.99892)² = 0.0002862864

(0.983-0.99892)² = 0.0002534464

(0.984-0.99892)² = 0.0002226064

(0.987-0.99892)² = 0.0001420864

(0.988-0.99892)² = 0.0001192464

(0.989-0.99892)² = 9.84064e-05

(0.99-0.99892)² = 7.95664e-05

(0.992-0.99892)² = 4.78864e-05

(0.992-0.99892)² = 4.78864e-05

(0.993-0.99892)² = 3.50464e-05

(0.994-0.99892)² = 2.42064e-05

(0.996-0.99892)² = 8.5264e-06

(0.997-0.99892)² = 3.6864e-06

(1-0.99892)² = 1.1664e-06

(1.001-0.99892)² = 4.3264e-06

(1.006-0.99892)² = 5.01264e-05

(1.007-0.99892)² = 6.52864e-05

(1.011-0.99892)² = 0.0001459264

(1.015-0.99892)² = 0.0002585664

(1.015-0.99892)² = 0.0002585664

(1.015-0.99892)² = 0.0002585664

(1.018-0.99892)² = 0.0003640464

(1.02-0.99892)² = 0.0004443664

(1.02-0.99892)² = 0.0004443664.

Step 2: Add all these numbers above

0.0004376464+0.0002862864+0.0002534464+0.0002226064+0.0001420864+0.0001192464+9.84064e-05+7.95664e-05+4.78864e-05+4.78864e-05+3.50464e-05+2.42064e-05+8.5264e-06+3.6864e-06+1.1664e-06+4.3264e-06+5.01264e-05+6.52864e-05+0.0001459264+0.0002585664+0.0002585664+0.0002585664+0.0003640464+0.0004443664+0.0004443664

=0.00410184

Step 3: Now we divide the sum by how many numbers there are. In this case we have 25.

We'll call this number n.

So n=25

For a sample (use 0.00410184 divided by (n-1) ):

So s2 =0.00410184 divided by 24

s2 = 0.00017091

Step 4 - Solve for Standard deviation:

The standard deviation is the square root of the variance. Our variance is 0.00017091.

So we only apply a square root on the variance.

= √ 0.00017091

s = 0.0130732551

Learn more about Standard Deviation:
https://brainly.com/question/475676
#SPJ1

Full Question:

A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, T, is the average.

0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 1.011 0.987

What is the population standard deviation, σ?

The amount of medication that stays in the bloodstream is the same at 3.04 hours for the two medications

The functions are given as:

[tex]f(x)=-1.25\cdot \ln{\left(\dfrac{1}{x}\right)}[/tex]

[tex]g(x)=-1.8\cdot\ln\left(\dfrac{2.1}{x}\right)[/tex]

Next, we represent both functions on a graph.

From the attached graph, we can see that both functions intersect at (11.34, 3.04)

This means that the amount of medication that stays in the bloodstream is the same at 3.04 hours for the two medications

Read more about functions at:

https://brainly.com/question/27831985

#SPJ1

Complete question

A pharmaceutical scientist studying two medications wonders how long different amounts of each medicine stay in someone's bloodstream. The amount of time (in hours) one medication stays in the bloodstream can be modeled by [tex]f(x)=-1.25\cdot \ln{\left(\dfrac{1}{x}\right)}[/tex] where x is the initial amount of the medicine (in milligrams). The corresponding function for the other medication is [tex]g(x)=-1.8\cdot\ln\left(\dfrac{2.1}{x}\right)[/tex]. Here are the graphs of

Answer:

It gives the initial amount + It gives the solution

Step-by-step explanation:

It gives the initial amount + It gives the solution

We know from the graph given and the data provided that the function can automatically be proven true.

It cannot describe the amount of time as the data says X is how much of the medicine is given, not the time.

It can't be the equal ratio because, for example, 1 milligram of medicine doesn't equal 1h of time in the body.

All you need to do for this is educational guessing, reasoning, and the process of elimination. Hope this helped! have a great day :7)

Answer:

A. 4(4a + 18)

B. 8(2a + 9)

Step-by-step explanation:

We know that :

16a = 4×4×a

72 = 4×18

Then

16a + 72 = 4×(4a) + 4×(18)

              = 4 × (4a + 18)

On the other hand,

16a = 8×2×a

72 = 8×9

Then

16a + 72 = 8×(2a) + 8×(9)

              = 8 × (2a + 9)

The equation exists 62 - (9 ÷ x)  then, the simplifying the equation, we get 59.

An equation exists as a mathematical statement that is created up of two expressions connected by an equal sign. For example, 3x – 5 = 16 exists an equation.

The equation is described as the state of being equal and exists often illustrated as a math expression with equal values on either side or directs to a problem where many things need to be taken into account.

Given: [tex]$62\:-\:\left(\frac{9}{3}\right)[/tex]

then substitute the value of x = 3

Removing parenthesis -(a) = -a, we get

-(9/3) = -9/3

Divide the numbers, 9/3 = 3

= 62 - 3 = 59

Therefore, the correct answer is option A. 59.

The complete question:

Evaluate 62 - (9 ÷ x) when x = 3

A. 59

B. 12

C. 27

D. 33

To learn more about the equation  refer to:

brainly.com/question/12862290

#SPJ9

3,471,738 this is the answer

Answer:

A(1,2)

Step-by-step explanation:

tracing the point of intersection of the two lines on the y and the x axis,on the y we have 2 and on the x we 1.

The set of inequalities y ≤ x² - 3 and y > -x² + 2 do not have a solution

From the graph, we have:

f(x) = x² - 3

g(x) = -x² + 2

Next, we change the equations to inequalities as follows:

y ≤ x² - 3

y > -x² + 2

To modify the graph, we then perform the following transformations:

After the modifications in (a), we have:

y ≤ x² - 3 and y > -x² + 2

Substitute y > -x² + 2 in y ≤ x² - 3

-x² - 2 ≤ x² - 3

This gives

2x² ≤ - 1

Divide by 2

x² ≤ - 0.5

The square root of numbers less than 0 is a complex number

Hence, the set of inequalities do not have a solution

Read more about inequalities at:

brainly.com/question/24372553

#SPJ1

Answer:

Step-by-step explanation:

sinA(1+sin^2A) = cos^2A

sinA(2 -cos^2A) = cos^2A

Squaring both sides,

sin^2A(4-4cos^2A +cos^4A) = cos^4A

(1-cos^2A)(4-4cos^2A +cos^4A) = cos^4A

4-4cos^2A +cos^4A-4cos^2A+4cos^4A-cos^6A = cos^4A

4 -cos^6A +4cos^4A -8cos^2A = 0

cos^6A - 4 cos^4A + 8cos^2A = 4

hence proveproven

Answer:

Step-by-step explanation:

sinA+sin

3

A=cos

2

A

⇒sinA[1+sin

2

A]=cos

2

A

⇒sinA[1+1−cos

2

A]=cos

2

A

squaring on both sides.

⇒sin

2

A[4+cos

4

A−4cos

2

A]=cos

4

A

⇒(1−cos

2

A)[4+cos

4

A−9cos

2

A]=cos

4

A

⇒4+cos

4

A−4cos

2

A−64cot

2

A−cos

6

A+9cos

4

A=cos

4

A

⇒

cos

6

A−4cos

4

A+8cos

2

A=4

​

Hence Prove

Answer:

14.35 ft

Step-by-step explanation:

We can use the pythagorean theorem to find the distance between the poles since both triangles are right triangles.

a^2 + b^2 = c^2

a^2 + 12^2 = 14^2

a^2 + 144 = 196

a^2 = 52

a = 7.21 ft

a^2 + b^2 = c^2

a^2 + 7^2 = 10^2

a^2 + 49 = 100

a^2 = 51

a = 7.14 ft

7.21 + 7.14 = 14.35 ft

Brainliest, please :)

Answer: c; 14.35

Step-by-step explanation: I need help on this and i saw this guy asked for brainlist and i think two people need to anser so please give him brainlist.

How many 2/7 are in 150 ?

= Their are 525.

I HOPE IT HELP YOU

There are 525 number of fraction 2/7 in number 150.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator.

Given,

fraction = 2/7

Given number = 150

Number of 2/7 in 150

= 150 ÷ 2/7

= 150 × 7/2

= 1050/2

= 525

Hence, 525 is the number of fraction 2/7 in number 150.

Learn more about fraction here:

https://brainly.com/question/10708469

#SPJ2

The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is [tex]B(x) = 0. 06x^2 - 0. 2x^3[/tex]

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ [tex]B'(x) = 2(0. 06)x - 3(0. 2)x^{2}[/tex]

Setting it equal to zero, we get

⇒ [tex]0.12x - 0.6x^{2}=0[/tex]

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ [tex]B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}[/tex]

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ [tex]B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}[/tex]

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ [tex]B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}[/tex]

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

Learn more about function here

https://brainly.com/question/12913444

#SPJ4

The worth of the car in 10 years is $1,831.67 using an exponential equation approach.

What is an exponential equation?

An exponential equation is the one with exponents such X^3(the 3 is the exponent)

The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.

FV=PV*(1-r)^N

FV=future worth of the car

PV=today's value=$25,000

r=depreciation rate=-23%

N=number of years=10

The fact that r is negative means the car is depreciating not appreciating.

FV=$25,000*(1-23%)^10

FV=$1,831.67

Find further explanation on exponential equation below in the link:

https://brainly.com/question/11832081

#SPJ1

Hello !

[tex](x {}^{a} ) {}^{b} = x {}^{a \times b} [/tex]

[tex](b {}^{5} ) {}^{2} = b {}^{ 5\times 2} = b {}^{10} [/tex]

→ Answer D

Answer:

D

Step-by-step explanation:

using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](b^5)^{2}[/tex] = [tex]b^{5(2)}[/tex] = [tex]b^{10}[/tex]

A correlation is simply used to determine whether a relationship exists between the variables.

The information is incomplete and an overview will be given. The correlation shows the relationship between the variable.

This can be explained in a numerical form that's known as the correlation coefficient. This shows that strength of the relationship.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

The equation which best represents the graph shows the amount of money that Janice saves each week from her summer job is option A which is  y=200x.

Given a graph showing the amount of money that Janice saves each week from her summer job.

Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation and cubic equation.

Equation can be formed from any two points present on the graph with the help of following formula:

[tex](y-y_{1})=(y_{2} -y_{1} ) /(x_{2} -x_{1} )*(x-x_{1} )[/tex] where [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} )[/tex]are the points.

So,we have to find points first which are (6,1200),(7,1400)

Put the values in the formula:

(y-1200)=(1400-1200)/(7-1)*(x-1200)

y-1200=200/1(x-6)

y-1200=200(x-6)

y-1200=200x-1200

y=200x-1200+1200

y=200x

Hence the equation shows the amount of monet that Janice saves each week from her summer job is option A which is y=200x.

Learn more about equation at https://brainly.com/question/13763238

#SPJ1