What is the area of the hexagon?
5m
4 m
4 m
12 m
5m
60 m ²
120 m 2
106 m ²
68 m 2

Answer:

h(0.1) = 4.97

Step-by-step explanation:

See attached working :)

Remember that h(0.1) is the same as saying find what the equation is equal to when x = 0.1

The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The mean = (sum of service years) / employees in the sample worked

[tex](8+13+15+3+13+28+4+12+4+26+29+3+10+3+17+13+15+15+23+13+12+1+14+14+17+16+7+27+18+24) /30\\= (417 / 30)[/tex]

= 13.9 years

= 14 years

The percentage of employees who have worked for at least 10 years :

The number of employees with service years ≥ 10 years

= 22 employees

Total number of employees

Percentage (%) = (22 / 30)

                          = * 100%

                          = 0.7333 x 100%

                          = 73.33% = 73%

Therefore, The sample mean for the number of years worked is 14, and 73% of the employees in the sample worked for the company for at least 10 years.

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Answer:

Step-by-step explanation:

Equations

Let the dimes be x

Let the quarters be y

x + y = 19                     (1)                   Multiply this equation by 0.1

0.1x + 0.25y = 3.10     (2)

0.1x + 0.1 y =    1.90     (3)                   Subtract 3 from 2

          0.15y  =  1.20                            Divide by 0.15

          0.15y/0.15 = 1.20/0.15

                 y = 8

x + y = 19

x + 8 = 19                                               Subtract 8 from both sides

x+8-8  = 19-8                                          Combine

x = 11

Answer

Carol has 8 quarters

She has 11 dimes

Answer:

The answer is [tex]x > 2[/tex]

Step-by-step explanation:

to solve this inequality:

[tex]5x+7 > 17[/tex]

Put "-7" on both sides

[tex]5x+10[/tex]

divide by 5 on both sides

your answer should be 2.

Answer:

[tex]34\pi[/tex] cm

Step-by-step explanation:

[tex]\text{A circle's circumference is equal to 2r, where PC is the radius.}[/tex]

[tex]\text{A circle's radius is the line traced from the circle's center to its perimeter.}[/tex]

[tex]\text{According to the figure, the radius is determined by the line drawn from the center}[/tex]

[tex]\text{P to the circumference C, which is PC, i.e. PC = radius = 17cm.}[/tex]

[tex]\text{We may get the circumference of a circle by substituting the radius value into the}[/tex]

[tex]\text{formula;}[/tex]

[tex]\text{2 (circumference) (17)}[/tex]

[tex]\text{Circumference =}[/tex] [tex]34\pi(\text{In terms of} \pi )[/tex]

Answer:

34π cm

Step-by-step explanation:

Hello!

The circumference of a circle is found using the formula [tex]P = 2\pi r[/tex]

We have the radius, PC(17), so we can plug it into the formula to find the perimeter.

Since we are leaving it in terms of Pi, we don't have to further simplify it.

The perimeter is 34π cm.

Answer:

-1/32

Step-by-step explanation:

1/4*1/8*1024 = 1024/32 = -32

[tex]\\ \rm\Rrightarrow \dfrac{6}{x^2-3x}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{x-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{6}{x(x-3)}=\dfrac{12(x-3)+x}{x(x-3)}[/tex]

[tex]\\ \rm\Rrightarrow 6=12x-36+x[/tex]

[tex]\\ \rm\Rrightarrow 6=13x-36[/tex]

[tex]\\ \rm\Rrightarrow 13x=42[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{42}{13}[/tex]

[tex]|\Omega|=48\\A=\{24,48\}\\|A|=2\\\\P(A)=\dfrac{2}{48}=\dfrac{1}{24}\approx4.2\%[/tex]

The whole number has one digit if and only if the whole number is less than 10.

Let p: The whole number has one digit.

Let q: The whole number is less than 10.

We have to determine the,

PVC

p^q

p-q

p q

An integer is colloquially defined as a number that can be written without a fractional component.

The whole number has one digit if and only if the whole number is less than 10.

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When asking the value of '9' ⇒ in another number

  ⇒ means that it asking for the name of the position of that number in

      the other number

Let's examine the name of the positions in the number:

  ⇒ look at the image attached

Based on the image:

 ⇒ 9 is the hundreds position of 2,448,901

Answer: hundreds

Hope that helps!

Answer:

Hundreds

Step-by-step explanation:

1=units

0=tens

9=hundreds

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 2[tex]\sqrt{2}[/tex]

The term that could be put in the blank is x^2y^2

The polynomial is given as:

8x^3y^2 - ___ + 3xy^2 - 4y^3

From the above expression, we can see that each term has a decreasing power of x from x to 0.

The missing power of x in the expression is 2

So, the term that completes the expression must have x^2

Hence, the term that could be put in the blank is x^2y^2

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Answer:

its a

Step-by-step explanation:

The correct answer is option B which is -4.(-3)5x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = ( 4 - ( -3 )) 5x

E = 4 (+3) ( 5x)

E = 12(5x)

E = 60x

Now we will check option B

E1 = -4(-3)5x

E1 = 12 (5x)

E1 = 60x

E  = E1

Therefore the correct answer is option B which is -4.(-3)5x.

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Answer:

First box ⇒ 3.6 x 10^-1

Second box ⇒ 3.1 x 10^6

Third box ⇒ 5.3 x 10^-6

Fourth box ⇒ 4.2 x 10^-1

Step-by-step explanation:

I used a calculator and solved it :)

Answer:

first square = 3.6 x [tex]10^{-1}[/tex]

Step-by-step explanation:

They are all multiplying so there is no need for parenthesis

(3.8 * 10³) * (9.4 * [tex]10^{-5}[/tex])

3.8 * 10³ * 9.4 * [tex]10^{-5}[/tex]
35.72 * [tex]10^{-2}[/tex]

35.72 =~ 36

Everytime you elevate a number, it's the same as...
3 * 10² = 100 * 3 = 300

0.3 * 10³ = 1000 * 0.3 = 300

so then...

36 *      [tex]10^{-2}[/tex] = 3.6 * [tex]10^{-1}[/tex]

The number of different three-digit numbers that can be set for the combination lock is 125

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

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Answer:

15 weeks

Step-by-step explanation:

For Barbie, keep subtracting 80 from 1,500 until you get to the lowest amount.

And for Ken, keep subtracting 20 from 600.

Once you are done, you will notice that both Barbie and Ken have $300 at 15 weeks. So your answer is 15.

Step-by-step explanation:

that means that in 5 ml there are 250mg.

and that means that in 1 ml there are 250/5 = 50 mg.

and now we can find out the mg in 7 ml (by multiplying everything by 7) :

7 ml = 50 × 7 = 350 mg

5 days in march.

31 days in May

30 days in June

24 days through July

rate of 5% each day.

so about 90 days of interest daily.

So 5% of 20,000

5 percent *20000

= (5/100)*20000

= (5*20000)/100

= 100000/100 = 1000

So 1,000 a day

1,000 * 90

= 90,000

Answer:

This equation has no solutions. So your answer is the last one!

Step-by-step explanation:

Answer:

The correct answer is D. none.

Answer:

[tex]x > -1\\[/tex]

Step by step explanation:

[tex]~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1[/tex]

Answer:

5

Step-by-step explanation:

This is a 3,4,5 triangle

and to prove that;

3^2 + 4^2 = 5^2

25 = 25 is a correct statement

The value of y based on the values given ib the equilateral triangle will be 4.

From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:

= 1/2 × 8 = 4

In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.

Here, value of y based on the values given ib the equilateral triangle will be 4.

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Answer:

Step-by-step explanation:

4

Answer:

3(x + 4) = 3(x) + 3(4)
3(x + 4) = 3x + 12
3x + 12 = 3x + 12

Subtract 12 from both sides
3x + 12 - 12 = 3x + 12 - 12

3x = 3x
3x - 3x = 3x - 3x
= 0

Answer:

Look at the image below!!

Step-by-step explanation:

So the format is y=mx+b

In this case, 1/3x would be mx

By the way, B is the Y INTERCEPT

So the Y would be placed on 4,

Then the format would be y/x (1/3)

1 is y and 3 is x

So we go up 1 and 3 to the right!!

Which will lead us to the image ^^

Answer:

-8

Step-by-step explanation:

If 3x-4y=2, then for any number a we also have a(3x-4y)=a(2) by multiplication property of equality.

Therefore, for a=-4 we have -4(3x-4y)=-4(2) which means the value of -4(3x-4y) is -8.

The value of equation - 4 (3x - 4y) will be;

⇒ - 4 (3x - 4y) = - 8

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The true equation is,

⇒ 3x - 4y = 2

Now,

Since, The true equation is,

⇒ 3x - 4y = 2   .. (i)

Hence, The value of equation - 4 (3x - 4y) is,

⇒ - 4 (3x - 4y)

Substitute from (i), we get;

⇒ - 4 (3x - 4y) = - 4 × 2

                      = - 8

Thus, The value of equation - 4 (3x - 4y) = - 8

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Answer:

D is the right ans after solving eqn we get two value of x and they are 1 and 3

Using translation concepts, the function that represents g(x) is given by:

[tex]g(x) = -4\left(\frac{1}{2}\right)^x[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is given by:

[tex]f(x) = 4\left(\frac{1}{2}\right)^x[/tex]

Function g(x) is a reflection of g(x) over the x-axis, that is, is is multiplied by -1, hence:

[tex]g(x) = -f(x) = -4\left(\frac{1}{2}\right)^x[/tex]

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Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar.

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