In this question, we define a new operation in arithmetic, using xxas a symbol. a xxb = ab + a – b For example, 3xx7 = 21 + 3 - 7 = 17 a.Calculate 5 xx2 b. Calculate 3 xx1/2 c. Solve the equation x xx5 = 8

Answers

Answer 1

Answer:

a. 13 , b. = 4 , c. 2.2

Step-by-step explanation:

Given : a xx b = ab + b - a

So, no.1 xx no.2 = Product no.1 x no.2 + no.1 - no.2

As evident 3 xx 7 = (3 x 7) + 3 - 7 → 3 xx 7 = 21 + 3 - 7 = 17

Hence, 5 xx 2 = (5 x 2) + 5 - 2 → 5 xx 2 = 10 + 5 - 2 = 13

3 xx 1/2 = 3 (1/2) + 3 - 1/2 = 1.5 + 3 - 0.5 = 4

x xx 5 = 8

x xx 5 = 5x + x - 5

6x - 5 = 8

6x = 13

x = 2.16 ≈ 2.2


Related Questions

there is no answer for this on brainly, if you answer this, you're making history.

Answers

Answer:

103.62

Step-by-step explanation:

Formula: v = πr²[tex]\frac{h}{3}[/tex], v = πr²h

Given: π = 3.14, r = 3, h = 5

Sub: 3.14(3)²[tex]\frac{5}{3}[/tex]

Simplify: 3.14(9)[tex]\frac{5}{3}[/tex]

Simplify: (28.26)[tex]\frac{5}{3}[/tex]

Solve: 47.1

Given: π = 3.14, r = 3, h = 6

Sub: 3.14(3)6

Simplify: (9.42)6

Solve: 56.52

V = v1 + v2

V = 47.1 + 56.52

V = 103.62

The total volume of the figure is 103.62

What are vertical angles called?

Answers

Answer:

They are called vertical angles but are also known as "Vertically Opposite Angles"

Step-by-step explanation:

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Answer:

"Vertical" refers to the vertex

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.

I'M SO SORRY IF WRONG FORGIVE ME the internet gave me this

There are three colors of jellybeans in a jar: Red, orange, and yellow. On a random pick, the probability of getting a red jellybean is 1/8 and the probability of getting an orange jellybean is 1/4. What is the probability of getting a yellow jellybean?

Answers

Answer: 5/8

Step-by-step explanation:

Probability of getting a red jellybean = 1/8

Probability of getting an orange jellybean = 1/4

Probability of getting a yellow jellybean = 1 - (⅛ + ¼)

= 1 - (1/8 + 2/8)

= 1 - 3/8

= 5/8

Therefore, the probability of getting a yellow jellybean is 5/8

Consider the net of a prism below. Describe the prism that the net models.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the net of the prism is not shown.

However, I will give a general explanation on how to determine the net of the three popular prisms.

(1) Rectangular prism.

It is made up of 6 rectangles

(2) Triangular prism

It consists of 3 rectangles and 2 triangles

(3) Square prism

It is made up of 6 squares

See attachment for the net of each prism

help me pls very much appreciated luvs <33

Answers

Answer:

18

Step-by-step explanation:

Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.

Variable x = dimes = $0.10

Variable y = quarters = $0.25

Set up a system of equations:

x + y = 38

x(0.10) + y(0.25) = 6.80

Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.

20 dimes:

20 + y = 38

y = 18

20(0.10) + 18(0.25) = 6.80

2 + 4.5 = 6.80

6.5 does not equal 6.80

Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:

38 dimes:

38 + y = 38

y = 0

38(0.10) + 0(0.25) = 6.80

3.8 + 0 = 6.80

3.8 does not equal 6.80.

Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.

6

6 + y = 38

y = 22

6(0.10) + 32(0.25) = 6.80

0.60 + 8 = 8.60

8.60 does not equal 6.80.

This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.

18

18 + y = 38

y = 20

18(0.10) + 20(0.25) = 6.80

1.8 + 5 = 6.8

6.8 does equal 6.8.

Correct!

if x/6 = 6/9 whats the value of x and pls give explanantion

Answers

Answer:

x=4

Step-by-step explanation:

[tex] \frac{x}{6} = \frac{6}{9} = > 9x = 6 \times 6 = > x = \frac{36}{9} = > x = 4[/tex]



The triangle and the trapezoid share a 15 inch base and height of 10 inches.


The area of the trapezoid is less than twice the area of the triangle. Find the value of x. Explain your reasoning.





Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.





Answers

Answer:

15 ; yes

Step-by-step explanation:

Base = 15 inches

Height = 10 inches

Area of triangle = 1/2* base * height

Area of triangle = 0.5 * 15 * 10

Area of triangle = 75 in²

Area of trapezium < 2(75)

Area of trapezium, A

A = 1/2*(x+b)h

x = top base ; b = bottom base ; h = 10

1/2*(x + 15)10 < 150

5x + 75 < 150

5x < 150 - 75

5x < 75

x < 15

Hence, Area of trapezoid :

A = 1/2 * (15 + 15)10

A = 1/2 * (30)10

A = 1/2 * 300

A = 150

Hence, Area of trapezium can be twice the area of triangle.

2(75) = 150

Find the square root.
-

[tex]\sqrt{x} 9/25[/tex]

Answers

Answer:

1.4

Step-by-step explanation:

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

0 0

Critique the reasoning of others. Sally states that the equation g(x) = x2 + 3x − 10 represents a quadratic function that is the product of the expressions that define the two linear functions a(x) = x + 2 and b(x) = x − 5. Is Sally correct? Explain.

Answers

Answer:

Step-by-step explanation:

No, not quite. She's close.

The middle term (often called the linear term) is + which means that the absolute value of the factors must be plus.

(x + 5)(x - 3) is what should should think.

x + 5 = 0

x = - 5

x + 2 = 0

x = - 2

(x + 5)(x - 2)

x^2 - 2x + 5x - 10

x^2 + 3x - 10

What’s the answer?!!!!!!

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 30 , then 30² = 900

20² + 23² = 400 + 529 = 929 ≠ 900

Then the triangle is not right.

If (3,2) —> (2, -3) represents a counter clockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

A. 90°
B. 180°
C. 270°
D. 360°

Answers

360 samsksmsmsk sorry!

evaluate 4^3+3x5-8Captionless Image

Answers

Answer:

71

Step-by-step explanation:

64+3×5-8

64+15-8

79-8

71

Answer:

71

Step-by-step explanation:

4^3 = 64 + 15 = 79 - 8 = 71

Give me my brainllest

Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticket is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.

Answers

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

help please!
integrate the following:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2a) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

Answers

Answer:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration:

[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

notice that you can simplify the integrand

recall that,

[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]

thus substitute:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]

remove parentheses:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]

[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

factor out 2:

[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

reduce fraction:

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]

[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]

distribute:

[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]

use sum integration formula:

[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]

recall integration rules:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]

and we of course have to add constant of integration

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

PLEASE HELP I WILL MARK BRAINLIEST!!! :)

Answers

Answer:

1.c

Step-by-step explanation:

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what is the slope of a line passing through (-3,-7) and (1,4)

Answers

solution,

slope(m) = y2-y1/ x2-x1

= 4+7/1+3

=11/4

I hope this is correct, the formula can be wrong so pls double check if u have formula.

Manny and james and idris equally shared 1/2 of a pie. which fraction of the whole pie did each of them receive? GIVEING BRAINLIEST​

Answers

Answer:

1/6 of whole pie

Step-by-step explanation:

Half a pie divided by three pie eaters is 1/6 pie each.

Answer:

0.16

Step-by-step explanation:

1/3 ÷ by 3 djsjsjjsjssj

Translate 5 units left and 3 units down.

Answers

Answer: B

Step-by-step explanation: Hope this help :D

The answer is definitely C

Find c.
Round to the nearest tenth:
8 cm
82
55°
b
c = [? ]cm
Law of Sines:
sin A
sin C
sin B
b
Please help asap

Answers

Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm

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

Answers

Answer:

150

Step-by-step explanation:

Which of the following has zero width and an infinite length? A. a point B. a line segment C. a line D. a plane

Answers

Answer:line

Step-by-step explanation: the section between any two points on a line is called a line segment a line segment can be very long or very short or somewhere in between the difference between a line and a line segment is that a line segment has two endpoints and a line goes on forever

Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water are needed to fill the pond?

Answers

Answer:

426

Step-by-step explanation:

Can you guys help me with a math problem

If Jacob had an allowance for 20 every 2 weeks how much money will he have saved up after 17 months

Please help I am on a timer

Answers

Answer:

680.. that is if we are only doing 4 weeks = a month but yeah :)

Step-by-step explanation:

Answer:

about 680

Step-by-step explanation:

17 months rounds up to 68 weeks so divide by 2 and it would make 34 since jacob is getting the allowance every two weeks then multiply it by 20 which makes 680

i don't know if this is correct but I hope it helps

Which of the following samples would meet the "random" condition?

Answers

Answer:

Brother there's nothing there

Step-by-step explanation:

Translate algebra expressions take away 2 from 8 times f

Answers

Answer:

Algebraic Expression:

[tex]8f - 2[/tex]

Answer:

(8f)-2

Step-by-step explanation:

8 times f is multiplication, take two away is subtraction.

The graph shows the population of a city from 1900 to 2000. What is the average rate of change of the population between 1950 and 1980?

Please help! I attached a photo of the graph.

Answers

Answer:

-15

Step-by-step explanation:

in 1950 it was 45 and in 1980 it was 30 so it is -15

The average rate of change can be define as the value of something is changing with respect to another thing is tinging. The average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

Given information-

The given graph shows the population of a city between the year 1900 to 2000.

Average rate of change-

The average rate of change can be define as the value of something is changing with respect to another thing is tinging.

Form the given graph,

The year 1950 is between the year 1940 and year 1960. The value at the y axis where the population (in thousand) shown is 45,000 for the year 1950.

The year 1980 is shown in graph at the x axis and the value of the population in the y axis is 30,000.

Thus the population is decreasing from year 1950 to 1980. The difference in the population of the year 1950 and 1980 is,

[tex]d=45000-30000[/tex]

[tex]d=15000[/tex]

Thus the change in the population between 1950 and 1980 is 15,000.

Average rate of change of the population between 1950 and 1980 -

As the population and the year both are changing. The rate of change for the population with respect to the year can be calculating by dividing the difference of the population between two year to the total years between the 1950 to 1980.

There is total 30 year from 1950 to 1980, thus the average rate of change is,

[tex]A(x)=\dfrac{15000}{30} \\ A(x)=500[/tex]

Thus the average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

Learn more about the average rate of change here;

https://brainly.com/question/2530409

Solve these equations: |x-6|=-10

Answers

Answer:

I got x= -4 as the answer. I hope it helps

Find the missing measurement round answer to nearest tenth

Answers

Answer:

hope this helps you out five is a little harder to read sorry

please show work
Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?

Answers

Answer:

61 pennies

Step-by-step explanation:

d + p = 99

0.1d + 0.01p = 4.41

d = 99 - p

0.1(99 - p) + 0.01p = 4.41

9.9 - 0.1p + 0.01p = 4.41

-0.09p = -5.49

p = 61

Answer: 61 pennies

A regular pentagon has an apothem of 4 centimeters.
What is the area of the regular pentagon in square centimeters? Round your answer to
the nearest tenth.

Answers

Answer:

[tex] \boxed{A ≈ 58.1 \: cm^{2}} [/tex]

Step-by-step explanation:

When given a regular polygon.

s = a × 2 tan (π / n [radians]).

s = a × 2 tan (180 / n [degrees])

A = (n × s × a) / 2

Where s is the side length, n is the number of sides, a is the apothem length, and A is the area.

You may also see A = p × a.

Where p is the perimeter, the perimeter is the same as n × s.

The apothem is also known as the inradius.

______________________________________

Given a regular pentagon which has 5 sides, and an apothem of 4 cm.

s = 4 × 2 tan (180 / 5) = 4 × 2 × (0.726542528) = 8 × (0.726542528) = 5.81234022404.. ≈ 5.8 cm.

Now that we have sufficient information, we can now solve for the area.

A = (n × s × a) / 2

A = (5 × 5.81234022404.. cm × 4) / 2

A = (20 × 5.81234022404.. cm) / 2

A = (116.236804481.. cm²) / 2

A = 58.1234022404.. cm²

A ≈ 58.1 cm²

The area of the regular polygon is the amount of space it covers

The area of the regular polygon is 58.1 square centimeter

The given parameter is:

[tex]\mathbf{a=4}[/tex]

Start by calculating the side lengths using

[tex]\mathbf{s = 2a\ tan (\frac{180}{ n} )}[/tex]

Where n represents the number of sides.

In this case

[tex]\mathbf{n =5}[/tex]

So, we have:

[tex]\mathbf{s = 2a\ tan (\frac{180}{ 5} )}[/tex]

[tex]\mathbf{s = 2a\ tan (36)}[/tex]

Substitute 4 for (a)

[tex]\mathbf{s = 2 \times 4\ tan (36)}[/tex]

[tex]\mathbf{s = 8\ tan (36)}[/tex]

[tex]\mathbf{s = 5.8123}[/tex]

The surface area is then calculated as:

[tex]\mathbf{A = \frac{n \times s \times a}{ 2}}[/tex]

So, we have:

[tex]\mathbf{A = \frac{5 \times 5.8123 \times 4}{2}}[/tex]

[tex]\mathbf{A = 58.123}[/tex]

Approximate

[tex]\mathbf{A = 58.1}[/tex]

Hence, the area of the regular polygon is 58.1 square centimeter

Read more about areas at:

https://brainly.com/question/12000718

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