Solve the system of equations.
y = x + 4
y = x2 + 2

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

b = 4

Step-by-step explanation:

4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions

The probability that a truck drives between 150 and 156 miles in a day is 0.0247. Using the standard normal distribution table, the required probability is calculated.

The formula for calculating the probability distribution for a random variable X, Z-score is calculated. I.e.,

Z = (X - μ)/σ

Where X - random variable; μ - mean; σ - standard deviation;

Then the probability is calculated by P(Z < x), using the values from the distribution table.

The given data has the mean μ = 120 and the standard deviation σ = 18

Z- score for X =150:

Z = (150 - 120)/18

   = 1.67

Z - score for X = 156:

Z = (156 - 120)/18

  = 2

So, the probability distribution over these scores is

P(150 < X < 156) = P(1.67 < Z < 2)

⇒ P(Z < 2) - P(Z < 1.67)

From the standard distribution table,

P(Z < 2) = 0.97725 and P(Z < 1.67) = 0.95254

On substituting,

P(150 < X < 156) = 0.97725 - 0.95254 = 0.02471

Rounding off to four decimal places,

P(150 < X < 156) = 0.0247

Thus, the required probability is 0.0247.

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Answer:

Im very confused about the question because all the answers are too small but out of those pick 6 i'd say

Step-by-step explanation:

hope this helps!

Answer:

5043

Step-by-step explanation:

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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Answer:

6). x + 70° + 70° = 180°

x + 140° = 180°

x = 180° - 140° = 40°

Therefore x is equal to 40°

7). y + 55° +60° = 180°

y + 115° = 180°

y = 180° - 115° = 65°

Therefore x is equal to 65°

8). n + n + 50° = 180°

2n + 50° = 180°

2n = 180° - 50° = 130°

n = 130°/2 = 65°

Therefore both the angles are 65°

Explaination:

All the angles of a triangle always add up to 180°

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

n=5/3

Step-by-step explanation:

\(24=13n-4n+9\\24=9n+9\\15=9n\\\\n=15/9\)

simplified it would be 5/3

(If you wouldn't mind, if this helped you, please give brainliest, I'm trying to get an achievement)

If the first year the stock is worth $200 per share and every year the value of the share will increase by $15, then, the equation that model the situation is:

y = 200 + 15m

Where m is the number of years that have passed and y is the value of the share.

So, the variable is m, the coefficient is the number beside m and it is 15, the operation is the sum and the constant is 200.

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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y = mx + b is what the equation will be our equation...

m = 9/10

b=-495

(Since s is the variable for salary, the new equation is y=ms+b.)

y = 0.9s - 495

495 = 0.9s   (Divide by 0.9)

s = 550

(I hope I'm right)

Answer:

(a) The total ratio is 1 + 3 = 4, so Jill's share is (3/4) of £60:

Jill's share = (3/4) × £60 = £45.

(b) The ratio of their ages remains the same, so if Jack is one year older, Jill is also one year older. Therefore, Jill's age is 4 and Jack's age is 2, and Jack's share is (2/4) of £60:

Jack's share = (1/2) × £60 = £30.

(c) Let x be the age of Jack when he receives £25 from Uncle Fred. According to the problem, Jill is always two years older than Jack. Therefore, when Jack is x years old, Jill is x + 2 years old. The ratio of their ages is x : (x + 2), and this ratio is equal to 5/7 (25 pounds is 5/7 of 35 pounds, which is the total amount that they will receive). We can write an equation to solve for x:

x/(x+2) = 5/7

7x = 5(x + 2)

7x = 5x + 10

2x = 10

x = 5

Therefore, Jack will be 5 years old when he receives £25 from Uncle Fred at Christmas.

A) £45 because Jill will get 3/4 and Jack will get 1/4. To check our work, 60 divided by 4 is 15. 15 times 3 is 45 and 15 times one is 15.

B) £30 because it is a new year, both nephews will increase by one year. Now Jill is 4 and Jack is 2. So each kid will get half the share. 2 divided by 4 is 0.5 which is half of one. Half of 60 is 30.

C) 5 years Jill will always be 2 years older than Jack; this shows us that if some more years pass, Jill will be 7 and Jack will be 5 —> 1/4 x £60 = £25 Multiplying both sides by 4/60, we get:x = 5/4. This means Jack will be 5.

—————

Please remember to revise this and make it in your own words if you want! I am unsure about question C so comment!! I hope this helps you. -Doodle

—————

If two cubes have sides of length 5 cm and 6cm. The ratio of their respective surface​ areas is 36 : 25.

Using this formula to find the ratio

Ratio of their surface area  = a /a'

Where:

a = 6

a' =5

Let plug in the formula

Ratio of their surface area  = 6a² /6a'²

Ratio of their surface area  = 6(6)² / 6(5)²

Ratio of their surface area  = 36 / 25

Ratio of their surface area  = 36 : 25

Therefore the ratio is 36 : 25.

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Answer:

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

Monthly rent is $2000

Answer:

the answer to your question is $2000

Answer:

32

Step-by-step explanation:

slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (32 - 14) / 0 - (-6)

   = 18 / 6

   = 3

y-intercept, use any point to determine b, let's use (2, 38) :

y = mx + b

38 = 3(2) + b

38 = 6 + b

b = 32

The given function is continuous at  x = 3,  RHL = LHL = F(2)

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  =  (x²-9)/(x² - x -6)(x² + 6x +9)

To check whether it is continuous at x = 2

First taking LHL,

\(\lim_{h \to \ 0}\)  ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)

⇒  -5/(-4x25)

⇒   1/20

Now, taking RHL

\(\lim_{h \to \ 0}\)  ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)

⇒  -5/(-4x25)

⇒   1/20

The value at x = 3

F(3)  =   ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)

       =  -5/(-4x25)

       =   1/20

Hence Proved,   RHL = LHL = F(2)

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Hey there!

(65/4) - 3^2

= 65/4 - 3^2

= 65/4 - 3 * 3

= 65/4 - 9

= 29/4

Therefore, your answer is: 29/4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

12/1

Step-by-step explanation:

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

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The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Step-by-step explanation:

Here is the answer to this question,

His hypothesis would be:

Null hypothesis:

H0: μ(new) - μ(regular) = 0

Alternate hypothesis:

H1: μ(new) - μ(regular) > 0

The consumer is testing to know if his new detergent is better off in cleaning than the regular. The question says that higher scores after cleaning is used to signify which is better based on sufficiently clean garment. Since he is interested in knowing the mean scores of the differences, he should use the hypothesis I stated above.

We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Answer:

x = 5.29

Step-by-step explanation:

24x = 127

Divide both sides by 24.

x = 127/24

x = 5.29

Answer:

211 with a remainder of 6

Step-by-step explanation:                  

           Division                             Multiplcation Check

               211                                                 211

       ____________                                  x23

23           4,859                             _________________

              -46                                                 633

_____________________                      x4,220

                  25                              __________________        

                 -23                                            4,853

_____________________                           +6

                     29                           ____________________

                    -23                                         4,859

_____________________

                       6

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

B. 533in²

Step-by-step explanation:

Step 1: Find the area of the rectangle

A = lw

A = (29)13

A = 377

Step 2: Find the leg of the triangle

13 + 11 = 24

Step 3: Find the area of the triangle

A = 1/2bh

A = 1/2(24)(13)

A = 12(13)

A = 156

Step 3: Add the areas of the 2 figures together

377 + 156 = 533

1) Two Electricians' charges more per hour

2) Mr Hall should choose ABC electric to save money

ABC Electric's charges :

y = 50x + 75

Two Electricians' charges is shown in the table

To determine which company charges more per hour, let's compare their charages

1) y = 50x + 75

when x = 1 hour

y = 50(1) + 75 = 50 + 75

y = $125

From the table, when x = 1

y = $130

$130 > $125

The charge of Two Electricians' for 1 hour is more than that of ABC Electric's charges

Hence, Two Electricians charges more per hour

2) For 5hours, x = 5

inserting the value for x in ABC electric charges:

y = 50(5) + 75

y = 250 + 75

y = $325

There is no value for x = 5 on the table given

we need to find an equation for it

Equation of line: y = mx + c

Rate of change = slope = change in y/change in x

Using points: (0, 70) and (1, 130)

Rate of change = (130-70)/(1-0) = 60/1

Rate of change = slope = 60

The y-intecept is when x = 0

y-intercept = c = 70

equation for Two Electricians' charges :

y = 60x + 70

when x = 5

y = 60(5) + 70

y = 300 70

y = $370

$370 > $325

ABC electric cost less for 5hrs

Mr Hall should choose ABC electric to save money

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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