LENGTH OF ARCS. URGENT.

Answer:

x < -3

Step-by-step explanation:

3x<-9

Divide each side by 3

3x/3 <-9/3

x < -3

Open circle at -3 line going to the left

Answer:

Step-by-step explanation:

3x < -9

Divide both sides by 3

x < - 3

x = {........-5, - 4 ,}

Step-by-step explanation:

0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.

Working:

0.15 = 15/100

So the simplest form is :

0.15 = 3/20

Answer:

36

Step-by-step explanation:

The first dies has 6 possible outcomes

1,2,3,4,5,6

The second die has 6 possible outcomes

1,2,3,4,5,6

6*6 = 36

There are 36 outcomes

First Sample space

[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]

[tex]\\ \sf\longmapsto |S|=6[/tex]

Now There are two cubes mean n=2

[tex]\\ \sf\longmapsto |S|^n[/tex]

[tex]\\ \sf\longmapsto 6^2[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

Answer:

7450

Step-by-step explanation:        

Move the decimal to the right 3 times.

The standard notation is 7450

Standard and scientific notation are the ways to represent numbers mathematically. We write numbers in standard and scientific notations using the rules for respective mathematical concepts. Here, 7.56×1011 7.56 × 10 11 is a scientific notation. 756,000,000,000 756 , 000 , 000 , 000 is standard notation.

Given:

7.45 x 10^3

So, when there is multiplication in decimals then the decimal point would shift to the right side.

Then,

7.45* 1000

=7450

Learn more about standard notation here:

https://brainly.com/question/10253124

#SPJ2

Step-by-step explanation:

Given,

distance =420 miles

time 6.5 hrs

now,

420miles took 6.5 hrs.

1mile took 6.5/420hrs

=0.015476hrs

Therefore, 0.015476hrs to cover 1 mile distance.

Hope it helps...

Answer:

64.6153846 miles/hour

0.0154761905 hours/mile

Step-by-step explanation:

If we want to find the miles driven in one hour, we must divide the total miles by the total hours.

miles / hours

We know that 420 miles were driven in 6.5 hours

420 miles/ 6.5 hours

Divide 420 by 6.5

420/6.5=64.6153846

64.6153846 miles/hour

In one hour, 64.6153846 miles are driven.

If we want to find the time to drive one mile, divide the time (hours) by the miles.

hours / miles

We know that 420 miles were driven in 6.5 hours.

6.5 hours/420 miles

Divide 6.5 by 420

6.5/420=0.0154761905

0.0154761905 hours/ mile

It will take 0.0154761905 of an hour to drive one mile.

Answer:

PRODUCT OF FIRST THREE POSITIVE INTEGERS=6

PRODUCT OF FIRST FIVE NEGATIVE INTEGERS=(-120)

Step-by-step explanation:

PRODUCT OF FIRST THREE POSITIVE INTEGERS:

1×2×3 = 6

PRODUCT OF FIRST FIVE NEGATIVE INTEGERS:

(-1)×(-2)×(-3)×(-4)×(-5) = (-120)

Answer:

6 and -120

Step-by-step explanation:

The first 3 positive integers

= 1×2×3=6

The first 5 negative integers

= (-1 ) × (-2 ) × (-3 ) × (-4 ) × (-5 ) = -120

Answer:

Hey there!

Your answer is:

Hope this helps :)

Answer:

U B = 100.5

Step-by-step explanation:

the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm

The upper bound of the size of the television screen is 100.5 cm

The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.

Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:

i.e.

= (1/2) + 100 cm

= 0.5 + 100 cm

= 100.5 cm

Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm

Learn more about nearest value here:

https://brainly.com/question/16382026?referrer=searchResults

Answer:

2/3 ÷ 1/6

I hope this helps.

Answer:

E:0.9744

Step-by-step explanation:

Answer: E) 0.9744

Explanation:

This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5

Answer:

0.45p

Step-by-step explanation:

4 chocolates = £1.80

1 chocolate =  x

x= 1.80× 1 = 1.80÷4 = 0.45p

1 = 0.45p

I HOPE THIS HELPED :)

Answer:

67°

Step-by-step explanation:

CGE + AGC + AGG = 180 (angles on a straight line)

23°+90°+x=180°

x=67°

Answer:

£13496.80

Step-by-step explanation:

We can ignore the £ sign for now, that is just units.

If we decrease a number by 4.5%, we will have to find [tex]100-4.5=95.5[/tex]% of 14132.77.

We can easily do this by setting up a proportion.

[tex]\frac{x}{14132.77} = \frac{95.5}{100}[/tex]

Multiply 14132.77 by 95.5:

[tex]14132.77\cdot95.5=1349679.535[/tex]

Divide by 100:

[tex]1349679.535\div100=13496.79535[/tex]

Rounding this to two decimal places, it simplifies to 13496.80.

Hope this helped!

Answer:

IU = 161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

https://brainly.com/question/11957651

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answer:

3.39

Step-by-step explanation:

divide 10.17 by 3 to get the size of each section

Answer:

The two integers are greater than or equal to 17 and 19

Step-by-step explanation:

Consecutive odd integers means 1, 3, 5, 7, 9 and so on

That means there is a always a gap of 2 in between each of them. Knowing this, we can set up an equation. Let x represent the first of the consecutive integers.

x+(x+2)=36

x+2 represents the second consecutive interger

x+x=34

2x=34

x=17

The two integers are 17 and 19

Answer:

305

Step-by-step explanation:

This sequence es the sum of 3

5+3 =8

8+3 = 11

then

101 = 100 + 1

the fisrt date is 5

the another 100:

100*3 = 300

300 + 5 = 305

Answer:

1. You can divide both sides of an equation by any number except zero. If dividing both sides simplifies the equation, then it's better to do than than to distribute.

2. A fraction can be thought of as a ratio. To keep the value of the fraction the same, you must multiply or divide the numerator and denominator by the same number. If you multiply only the denominator by a number, the value of the fraction changes.

Step-by-step explanation:

1.

6(3x + 4) = 12

Since the goal in solving this equation is to isolate x, meaning you want x alone on the left side, you need to do whatever legal operations that will accomplish that. Since 6 is a factor and (3x + 4) is a factor in a multiplication, you can divide both sides by 6 simplifying the left side. It is also correct to distribute on the left side, but it will make the solution longer.

Method 1: start by dividing both sides by 6

6(3x + 4) = 12

Step 1: Divide both sides by 6

3x + 4 = 2

Step 2: Subtract 4 from both sides

3x = -2

Step 3: Divide both sides by 3

x = -2/3

Method 2: start by distributing on the left side

6(3x + 4) = 12

Step 1: distribute the 6 on the left side

18x + 24 = 12

Step 2: subtract 24 from both sides

18x = -12

Step 3: divide both sides by 18

x = -12/18

Step 4: reduce the fraction

x = -2/3

As you can see, the solution is the same. The only difference is one extra step with the reduction  of the fraction in the case of distributing the 6.

2.

This has to do with the meaning of fractions.

For example, take the fraction 1/2.

This fraction means that you divided the unit into 2 equal parts, shown by the denominator of 2. Then you are taking 1 of those parts, shown by the numerator of 1. 1/2 means 1 out of 2. You can also think of 1/2 as the ratio of 1 to 2.

To add and subtract two factions, we need a common denominator. That means we must rewrite one or both fractions being added or subtracted in a way that they both have the same denominator. We need the fractions to represent the same amounts they did originally. If you changed only the denominator, you'd be changing the actual value of the fraction.

You need to add 1/2 and 3/10.

The least common denominator of 2 and 10 is 10, so we need to have both fractions with a denominator of 10. 3/10 already has a denominator of 10, so we just need to change 1/2 to a fraction with 10 in the denominator. By multiplying 2 by 5 we get 10, so we need to multiply the denominator of 1/2 by 5 to end up with a denominator of 10.

1/2 + 3/10

If you only changed the denominator of 1/2 to 10 by multiplying 2 * 5 = 10, you'd end up with

1/10 + 3/10,

but now think of the fraction 1/10 and compare it to 1/2.

1/2 means divide the unit into 2 equal parts and take 1 part.

1/10 means divide the unit into 10 equal arts and take 1 part.

1/2 is not the same as 1/10, so rewriting the addition

1/2 + 3/10 as 1/10 + 3/10 is actually changing the problem.

Now see what happens when we multiply both the numerator and denominator by the same number, in this case 5.

We change 1/2 to (1 * 5)/(2 * 5) = 5/10. 1/2 equals 5/10. If you divide a unit into 10 equal parts and you take 5 parts, you have taken the same number of parts as if you had divided the unit into 2 parts and taken 1 part.

In other words, 1/2 is exactly the same amount as 5/10. The only difference between 1/2 and 5/10 is the way they are written.

Now we can correctly continue with the addition:

1/2 + 3/10 = 5/10 + 3/10 = 8/10

Finally we reduce 8/10 to 4/5 by dividing both the numerator and denominator by 4.

Answer:

[tex]\huge\boxed{d = 4 }[/tex]

Step-by-step explanation:

41 = 12d - 7

Adding 7 to both sides

41+7 = 12d

48 = 12 d

Dividing both sides by 12

4 = d

OR

d = 4

Answer:

[tex]\large \boxed{{d=4}}[/tex]

Step-by-step explanation:

[tex]41 =12d-7[/tex]

Add 7 on both sides.

[tex]41 +7=12d-7+7[/tex]

[tex]48=12d[/tex]

Divide both sides by 12.

[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]

[tex]4=d[/tex]

While multiplying a negative and another negative integer, the product's will be positive. While multiplying a positive and another positive integer, the product will be positive. It means that of the integers have same sign, then their product's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the product will have negative sign.

While dividing a negative from another negative integer, the quotient will be positive. While dividing a positive from another positive integer, the quotient will be positive. It means that of the integers have same sign, then their quotient's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the quotient will have negative sign.

Answer:

if the signs are the same the result is POSITIVE, if the signs are not the same the result is negative

Step-by-step explanation:

Answer:

-2  1/2

Step-by-step explanation:

a * (b + c);

Let  a = -3/2 , b = -2 , c = 11/3 .

-3/2 ( -2 + 11/3)

Get a common denominator

-3/2( -2 *3/3 + 11/3)

-3/2 ( -6/3 +11/3)

-3/2 ( 5/3)

-15/6

-5/2

Changing to a mixed number

-2  1/2

Answer:

|2x^2+5x+3|

Step-by-step explanation:

Answer: D

f(x) = | 2x2 + x | and g(x) = (x + 1)

Step-by-step explanation:

Answer:

8 - 4 (-x + 5)

= 8 + 4x - 20

= -(20 - 8)

= -12

= -12 + 4x

?

Answer:

Hey there!

First, let's identify the point. We always go x axis first, then y axis, so the point is at (3, 8).

From the graph, we see that it means the tree is 8 feet tall and three years old.

Let me know if this helps :)

Answer: A

Therefore, the answer is A.