on a trip to the museum, Lance saw a replica of a circular shield used by ancient Greek soldiers if the circumference of the shield is 100.48 inches, ts radius is inches and the area of the front of the shield is aboutsquare inches

Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.

Step-by-step explanation:

For this case we have that, by definition of properties of powers and roots, it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Now, from option B we have:

[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex](x ^ {\frac {a} {m}) ^ b =[/tex]

[tex]x ^ {\frac {ab} {m}} =[/tex]

[tex]\sqrt [m] {x ^ {ab}}[/tex]

Thus, it is observed that equality was demonstrated.

THE correct option is B.

ANswer:

Option B

Answer:

A on the botton axis and B on the left axis

Answer:

a

Step-by-step explanation:

Answer:

C.

but whatever you do, don't put A or E cause it symbolizes a graph that is having a decrease in incline but this graph shows a positive incline

The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Answer:The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Step-by-step explanation:

Answer:

500,000 grams

Step-by-step explanation:

1 kg = 1,000 g

500*1,000=500,000

Least: 10.5

Greatest: 14.125

Hope that helps!

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The data is given below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Arrange the order into ascending order. Then we have

10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

More about the ascending order link is given below.

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Answer:

b(3) = -16

Step-by-step explanation:

b(1) = -2

b(n) = b(n-1) - 7

so

b(2) = b(1) - 7 = -2 - 7 = -9

b(3) = b(2) - 7 = -9 - 7 = -16

Answer: 147

V= lwh/3 = 7*9*7/3 = 147

let me know if im wrong.

Answer:

11 hours.

Step-by-step explanation:

One worker worked 6 hours, the other worked 5. 5+6 = 11

Your answer will be 3x+21

Answer:

3x+21

Step-by-step explanation:

using the distributive property, you multiply 3 times x and 7 times 3, then add them together

Answer:the brow

Step-by-step explanation: you can just make the brown rice weigh as much as the white, 32 or 16.(16x2 is 32 and 32/2 is 16). 79 plus 79 is 1.68. Making the 32 oz of brown 1.68. Showing that the brown is cheaper.

Answer:

A 16 oz. package of brown rice for 79 cents is better deal.

Step-by-step explanation:

79 cents/16 oz≈4.94 cents / oz - 1st package

349 cents/32 oz≈10.91 cents/oz - 2 nd package

For the second package price per oz is more. So 1st package is better deal.

Answer:

I believe the correct answer would be 220 meters.

Step-by-step explanation:

If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.

The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W units

The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be

Width = 5.5 cm

Length = 10 cm

Then the actual length and width will be

L = 10 x 2 = 20 meters

W = 5.5 x 2 = 11 meters

Then the area of the rectangle will be

A = 20 x 11

A = 220 square meters

More about the area of the rectangle link is given below.

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Answer:

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rs[/tex]

r - radius

s - slant height

We have r = 5m and s = 12m. Substitute:

[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]

The formula of a surface area of a cone:

[tex]S.A.=\pi r(r+s)[/tex]

Substitute:

[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]

Answer:

8/10

Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5

Answer:

8/10

Step-by-step explanation:

we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!

×║hope this helps you║×

Answer:

Step-by-step explanation:

5x + 6 ≥ -34        subtract 6 from both sides

5x + 6 - 6 ≥ -34 - 6

5x ≥ -40            divide both sides by 5

x ≥ -8

and

-2x - 2 > -10          add 2 to both sides

-2x - 2 + 2 > - 10 + 2

-2x > -8          change the signs

2x < 8        divide both sides by 2

x < 4

We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4

8 * x + 6

or

6 + ( 8 * x)

Answer:

[tex]6 + 8 \times x[/tex]

Step-by-step explanation:

Given the statement:

Translate the sum of 6 and the product of 8 and x

"Product of 8 and x" translated to: [tex]8 \times x[/tex]

"Sum of 6 and the product of 8 and x" translated to :

[tex]6 + 8 \times x[/tex]

Therefore, the given statement into  a mathematical expression is:

[tex]6 + 8 \times x[/tex]

Answer:

The pennies

Step-by-step explanation:

We can create a geometric equation for the pennies and an arithmetic equation for the dollars.

The format for a geometric equation is

[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]

If we plug in the values we already know we should get the equation.

[tex]y=2^x-1[/tex]

Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.

[tex]2^{365}=7.52*10^{109}[/tex]

Which is basically 752 with 107 zeros following it.

Then we can divide this number by 100 to find the number of dollars it is.

We get 752 with 105 zeros following it.

Now we can find the arithmetic equation for the dollars.

We can see that 10 dollars is being added every time.

Use the formula.

[tex]a_n=a_1+m(n-1)[/tex]

We can plug in.

[tex]a_n=10+10(n-1)[/tex]

Now we can substitute 52 for [tex]x[/tex] in the equation.

[tex]a_{52}=10+10(52-1)[/tex]

[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]

So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.

Each drink costs $2.

Answer: The formula for the volume of a polygon is  1/2 x perimeter x apothem

Answer:

60 square units.

Step-by-step explanation:

First, work out what the length of of the other leg is

[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]

Next, to work out the hypotenuse you add the squares of the legs.

[tex] {24}^{2} + 10 ^{2} = 676[/tex]

Then square root the answer from the previous calculation.

[tex] \sqrt{676} = 26[/tex]

And finally add the sides together.

26+24+10= 60 square units

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A right triangle has an area of 120 square units and a leg length of 24 units.

Then the other length of the triangle will be

Area = 1/2 (b x h)

120 = 1/2 (24 h)

240 = 24h

h = 10

Then the third length of the triangle will be given by the Pythagoras theorem.

H² = b² + h²

H² = 24² + 10²

H² = 576 + 100

H² = 676

H = 26

Then the perimeter of the right-angle triangle will be

Perimeter = 10 + 24 + 26

Perimeter = 60 units

More about the right-angle triangle link is given below.

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Answer:

x=320+t-s

Step-by-step explanation:

Answer:

$1800

Step-by-step explanation:

If we pay $25 monthly, then at the beginning of the seventh month you should have paid:

$25*6 = $150

At the beginning of the seventh month we will have:

$1950 - $150 = $1800.

No interested is charged during the introductory period, so at the beginning of the seventh month the balance will be $1800.

Answer:

it is $2,045.91

Step-by-step explanation:

Answer:

 a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Step-by-step explanation:

Answer:

a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Answer:

16%

Step-by-step explanation:

What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.

Answer:

Here.

Step-by-step explanation:

You add the number of flowers together to get the total number- 48 + 240 is 288.

48 should be 16.66%, as 288 divided by 6 is 48.

(I am not entirely sure about this answer.)

Combine like terms:

3 x 2 - 2x + 7 - 57 - 4x + 10

-34 - 6x

Answer:

Step-by-step explanation:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Answer:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Step-by-step explanation:

Hope this helps darlin

Answer: A

Step-by-step explanation: It is a PT tripple 3,4,5

Also if you take the legs of the right triangle and square and add they get 5

Answer:

A

Step-by-step explanation:

Answer:

[tex]1.2\ hours[/tex]

Step-by-step explanation:

we know that

Joey can paint a room in 2 hours

That means

Joey can paint the 100% of the room-------> 2 hours

so

In 1 hour ------> can paint 100%/2=50%

Chelsea can paint a room in 3 hours

That means

Chelsea can paint the 100% of the room-------> 3 hours

so

In 1 hour ------> can paint (100%/3)=33.33%

therefore

Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%

by proportion

[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]

Answer:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]

Here:

[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

[tex]a_{1}[/tex] is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

This formula can be used to represent the given sequence.

Answer:

The number could be [tex]x=-6[/tex]  or [tex]x=-1/3[/tex]

Step-by-step explanation:

Let

x-----> the number

Remember that

The reciprocal of a number is 1 divided by the number

we know that

[tex]x+2(\frac{1}{x})=-\frac{19}{3}[/tex]

Solve for x

Multiply by 3x both sides

[tex]3x^{2} +6=-19x\\ \\ 3x^{2}+19x+6=0[/tex]

Solve the quadratic equation by graphing

The solutions are [tex]x=-6, x=-1/3[/tex]

see the attached figure

Verify both solutions

For [tex]x=-6[/tex]

[tex]-6+2(-\frac{1}{6})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true

For [tex]x=-1/3[/tex]

[tex]-(1/3)+2(\frac{1}{(-1/3)})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true