x
f(x) = x2+x+6
-2
a
SERE
-1
4
TELE
0
ь
1
6
N
a =
b=
C =

Answer:

2. x = 3

3. x = 5

Answer:

Below.

Step-by-step explanation:

(2).   6x + 51 + 111 = 180

        6x = 180 - 162 = 18

         x = 3.

(3).   6x = 30

        x = 5.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Step-by-step explanation:

92007(1)1

since one is on the tens value, always jump to the next number.

It is greater than 5 add one to the next no.

= 9201000, The rest become zeros

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

75600

Step-by-step explanation:

find times per min (9 times/ 60 sec =7.5)

*60 min

*24 hr

*7 days

The number of times the message repeated is 86400.

It is required to find how many times did the message appear on the sign.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

An electronic advertising sign repeats a message every 9 seconds, day and night, for a week.

We have to find the number of seconds in a week:

T=3600*24*7

=604800 s

Since each message takes 7 seconds, the number of messages is

=604800/7

=86400.

Therefore , the number of times the message repeated is 86400.

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Answer:

Step-by-step explanation:

Let x be the cost of each book bag. Then, we can set up the following equation based on the information given:

4x + 4.99 = 95.65

Here, 4x represents the cost of the four identical book bags, and 4.99 is the flat rate for shipping. We add them up to get the total cost of $95.65.

To solve for x, we can first subtract 4.99 from both sides of the equation to isolate the term 4x on the left-hand side:

4x = 90.66

Then, we can divide both sides of the equation by 4 to solve for x:

x = 22.67

Therefore, each book bag costs $22.67.

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Using cosine law,

d^2 = 65^2 + 35^2 - 2(65)(35)cos140

= 8935.5022

d = sqrt(8935.5022)

= 94.5 m

Angle = inverseCos(35sin40 / 94.5) = 76.23 degrees South of East

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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15. The value of x in the rhombus is 1.94.

16. The value of x is 13 and length AB is 31.

17.  The value of x and y is 3 and 8 respectively.

18.  The perimeter of the square is 45.24 ft.

The value of x in each of the given shapes is calculated as follows;

for question 15;

the diagonals of rhombus are perpendicular to each other;

if CE = 4x, then CG = 2x

(2x)² + (3x)² = 7²

4x² + 9x² = 49

13x² = 49

x² = 49/13

x² = 3.77

x = √ (3.77)

x = 1.94

for question 16; the value of x is calculated as follows;

angle D = angle B (opposite angles of a rhombus are equal)

6x - 17 = 4x + 9

2x = 26

x = 26/2

x = 13

The length of AB = 2x + 5

= 2(13) + 5

= 31

For question 17, the value of x and y is calculated as follows;

PT = RT ( the diagonals of a parallelogram bisect each other)

5x - y = 7 ------ (1)

ST = QT (the diagonals of a parallelogram bisect each other)

4x + 2y = 28 ------- (2)

from equation (1), y = 5x - 7

4x + 2 (5x - 7) = 28

4x + 10x - 14 = 28

14x = 42

x = 42/14

x = 3

y = 5x - 7

y = 5(3) - 7

y = 8

For question 18, the perimeter of the square is calculated as follows;

Let the side length of the square = L

L² = 8² + 8²

L² = 128

L = √128

L = 11.31 ft

The perimeter of the square = 4 x 11.31 ft  = 45.24 ft

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Answer:

answer is A

Step-by-step explanation:

Answer:

64978256+8734965+709685+1 = 74,422,907

Answer:

26

Step-by-step explanation:

to get from -6 to a 0, you add 6. 0+20 is 20, so that is how you get it

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Answer

a) On careful analysis of the image attached, we can see that the second figure is simply some sort of rotated version of the original image.

b) If AB = 2 cm, A'B' = 2cm too.

This is because we can see that the original image and the copy are exactly similar (only the rotation makes the difference).

c) We can see that the point D is on the length of the longer side of the figure ABC, so the point D' will also be on the longer side of the figure A'B'C'.

Hope this Helps!!!!

Answer:

Explanations:

The formula for calculating the slope of a line is given as:

For the coordinate point (-4, -1) and (-1, 5), the slope is given as:

We need to choose the option that has a slope of 2. From the given option;

The equation 6x - 3y = 5 has a slope of -1/2 ()

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

Answer:  \(7.21\)

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

Given:  \(\textsf{(2, -3) and (-4, -7)}\)

Find: \(\textsf{Find the distance between the two points}\)

Solution:  Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

Simplify and expand

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21

Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05

Answer:

$160 in 10 hours

Step-by-step explanation:

We know that Kevin earns $112 for working 7 hours. To find the answer for 10 hours, we need to find the unit rate.

Divide 112÷7= $16 for every 1 hour he works.

Now, we can use the unit rate to find the amount earned for 10 hours.

16×10= $160

Answer:

The right answer is the first one, 6,245.

Step-by-step explanation:

\(EG^2=DG*GF \\ EG^2 = ab\\ EG^2 = 3*13\\ EG^2=39\\ EG=\sqrt{39}\)

\(\sqrt{39} = 6,2449... = 6,245\)

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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Answer:

1/9

Step-by-step explanation:

First find the area of each circle with the formula a= Pi(r^2)

Area of circle with a radius of 4

a= Pi(4^2)

a= 16pi

Area of circle with radius of 12

a= Pi(12^2)

a= 144pi

Now use these values to represent the areas of the circles as a ratio

16pi/ 144pi

The pi's cancel out in this ratio

So we are left with

16/144

We can then go ahead and simplify these numbers as well to get the ratio in the simplest form

1/9

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

a) 13% of people did not experience problems with an online transaction.

b) 36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website

c) 46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

Step-by-step explanation:

a. What percentage of people did not experience problems with an online transaction?

87% of people have experienced problems with an online transaction. So 100 - 87 = 13% of people did not experience problems with an online transaction.

b. What percentage of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website?

87% of people have experienced problems with an online transaction. Forty-two percent of people who experienced a problem abandoned the transaction or switched to a competitor′s website.

Then:

0.87*0.42 = 0.3654

36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website.

c. What percentage of people experienced problems with an online transaction and contacted customer-service representatives?

87% of people have experienced problems with an online transaction. Fifty-three percent of people who experienced problems contacted customer-service representatives.

Then:

0.87*0.53 = 0.4611

46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

The equation "a/b = 8/15" means that the ratio of a to b is equal to the ratio of 8 to 15.

To find the value of b, we can use the cross multiplication property of ratios, which states that if two ratios are equal, then the products of the opposite terms are also equal. In this case, if a/b = 8/15, then we can multiply both sides of the equation by 15 to get 15a = 8b.

Next, we divide both sides of the equation by 8 to isolate b on one side of the equation. So, b = 15a/8. This means that the value of b can be determined by dividing the value of a by 8 and multiplying it by 15.

Answer: b/15

Step-by-step explanation: The initial equation is

\(\frac{a}{b} = \frac{8}{15}\\\)

Multiply both sides by b, we get:

\(\frac{ab}{b} = \frac{8b}{15}\)

which cancels to:

\(\frac{a}{1} = \frac{b}{15}\)

Then divide both sides by 8 and you get:

\(frac{a}{8} = \frac{b}{15}\)

so:

\(\frac{a}{8} = \frac{b}{15}\)

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

true..... ............