which answer is correct

​We have to apply the formula to calculate the area of a circle. Area = π *R²

But since they have given us the diameter we have to divide it by two to obtain the radius.​

​R = diameter/2 = 8inches/2 = 4inches

Now we apply this value in the area formula :​

Area = π *R² = (4 inches)²*π = 16inches²π = 16 π square inches

​Answer A] : C.) 16 π square inches

​If a 2-inch frame surrounds the figure, then we now have a circle with the radius increased by 2 inches.

R = 4 inches + 2 inches = 6 inches​

Now we apply this new value in the area formula :​

Area = π *R² = (6 inches)²*π = 36inches²π = 36 π square inches​

​Answer B] = C.) 36 π square inches

Hope this helps!​​​​​

​​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

[tex]|3x-6|<30 \\\\|x-2|<10\\\\x-2<10 \wedge x-2>-10\\\\x<12 \wedge x>-8\\\\x\in(-8,12)[/tex]

[tex]Solution, solve\:for\:x,\:\left|3x-6\right|<30\quad :\quad -8<x<12[/tex]

[tex]Steps:[/tex]

[tex]|f\left(x\right)|<a\quad \Rightarrow \:f\left(x\right)<a\quad \mathrm{and}\quad \:f\left(x\right)>-a, 3x-6<30\quad \quad \mathrm{and}\quad \:\quad \:3x-6>-30[/tex]

[tex]3x-6<30\quad :\quad x<12[/tex]

[tex]3x-6>-30\quad :\quad x>-8[/tex]

[tex]\mathrm{Combine\:the\:ranges}, -8<x<12[/tex]

The correct answer is -8<x<12

-5c + 6 = -69

-5c = - 75

c = 15

6c - 15

6(15) - 15

90 - 15

75

there are 1300 millimeters in 1.3 meters

1 meter = 100 centimeters  

1 centimeter = 10 millimeters  

So 1 meter = 100(10) millimeters = 1000 millimeters  

Then 1.3 meters = 1300  millimeters

Answer:

1800 oz.

Step-by-step explanation:

There are already 600 ounces of alloy of nickel.

Of this 600 oz, 50% is pure i.e. copper content = 600(0.5) = 300 oz

Now available is

Copper      Other metals

300                 300

Let x oz of 10% copper is added.

Then new alloy will have 300+0.1x oz copper in total of 600+x oz.

Percentage pure = [tex]\frac{300+0.1x}{600+x} =20%[/tex]

Simplify to get

[tex]\frac{300+0.1x}{600+x} =\frac{20}{100} \\\\Cross multiply:\\20(600+x) =100(300+0.1x)\\12000+20x =30000+10x\\10x = 18000\\x = 1800[/tex]

Hence answer is 1800 oz should be added.

b hope this helps i think

Answer:

C lots of available jobs

Answer:

Length of the prism is 18.8958cm (Rounded off to four decimal places)

Step-by-step explanation:

Volume of a rectangular prism     = Length * Width * Height

Volume of the rectangular prism  = [tex]1334cm^{3}[/tex]

Width of the prism                          = 8cm

Height of the prism                         = 12cm

We need to find the length of the Prism,

For that first make the Length as subject of the equation,

Length = [Volume of the rectangular prism/(Width * Height)]

            =[tex]1334cm^{3}[/tex]/(8cm*12cm)

            =[tex]1334cm^{3}[/tex]/[tex]96cm^{2}[/tex]

            =18.8958cm (Rounded off to four decimal places)

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = -[tex]\frac{21}{5}[/tex]

An equation can be formed with the given information.

"Nine less than" → -9

"Five times a number" → 5x

"Is equal to -30" → =-30

So our given equation is: 5x-9=-30

To solve this, first add 9 on both sides of the equation.

5x-9+9=-30+9

5x=-21

Divide both sides by 5 for x.

[tex]\frac{5x}{5}[/tex]=[tex]\frac{-21}{5}[/tex]

x=[tex]\frac{-21}{5}[/tex] , or -4.2.

Question 4: The correct option is d. Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.

Question 5: The correct option is a. The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.

Question 4:

The graph illustrates the functions f(x) = ⌈x⌉ and g(x) = 2⌈x⌉. Multiplying by 2 does not compress or shift the graph vertically, but rather stretches it. Each step on f(x) has a height of 1 unit, while on g(x), the steps have a height of 2 units.

This indicates that g(x) is a vertical stretch of f(x) by a factor of 2. The red dotted lines highlight the vertical distance between corresponding steps of f(x) and g(x), showing that g(x) is indeed twice the height of f(x) at every step. Therefore, the correct statement is:

Multiplying by 2 stretches the graph of g(x) = 2⌈x⌉ vertically by a factor of 2.

The representation of the graph is given below.

Question 5:

The graph demonstrates the functions f(x) = ⌊x⌋ and g(x) = ⌊x⌋−3. The graph of g(x) is identical in shape to the graph of f(x), but it is shifted downward by 3 units. This is visually represented by the dashed line of g(x), which follows the same step pattern as f(x) but is consistently 3 units lower across the entire domain.

Therefore, the correct statement is:

The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.

The representation of the graph is given below.

The three consecutive numbers are 25,27,29. The smallest is 25

Answer: $750

Step-by-step explanation:

If the band is earning $1,500 on ticket sales, that is equal to 2/3 aka 6/15. 1/5,or, 3/15 is earned on merchandise. Since 3/15 is half of 6/15, that means that merchandise makes half of $1,500, (1500÷2) or $750.

So, the band earns $750 from merchandise

750

m^2-36

(m+6)(m-6)

or

m(m-6)+6(m-6)

(m+6)(m-6)

"38 below zero" can be displayed as -38.

The negative sign implies that the number is whatever the value is less than the value of 0.

Thus, -38 + 38 = 0.

the integer is -38 because an integer can not be a fraction or a decimal.. and the problem says that mercury melts at 38 below zero, so, this would be 0-38=-38

The band makes $300 from selling merchandise.

I found this out by finding the LCD for 3 and 5, which is 15.

Then I multiplied the 2 from 2/3 by 5, and the 1 from 1/5 by 3, which results in 10/15 and 3/15.

Next I divided 1500 by 15, which is 100.

Then I multiplied 100 by 3, and got 300.

The band earns $450 from selling merchandise.

To find out how much money the band earns from selling merchandise, we need to determine what fraction of their profit comes from merchandise sales. We know that the band earns 2/3 of their profit from selling concert tickets, which equals $1500. Let's use this information to find the total profit.

Since 2/3 of the profit is $1500, we can find the total profit by multiplying $1500 by 3/2. $1500 x 3/2 = $2250. Therefore, the total profit the band earns is $2250.

Next, we need to find out how much money the band earns from selling merchandise, which is 1/5 of the total profit. To find this amount, we can multiply the total profit of $2250 by 1/5. $2250 x 1/5 = $450. So, the band earns $450 from selling merchandise.

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-2>-3

Because -2 is less far down than -3.

In order to solve this, first add 10p on both sides of the equation to get the variable on one side only.

[tex]-8p-10=-10p+10[/tex]

[tex]-8p+10p-10=-10p+10p+10[/tex]

[tex]2p-10=10[/tex]

Now add 10 on both sides of the equation.

[tex]2p-10+10=10+10[/tex]

[tex]2p=20[/tex]

Divide both sides by 2 for x.

[tex]\frac{2p}{2}[/tex]=[tex]\frac{20}{2}[/tex]

[tex]p=10[/tex]

Hello!

Answer: ⇒⇒⇒⇒⇒⇒⇒ p=10

Step-by-step explanation:

First you had to add by 10 from both sides of equation.

[tex]-8p-10+10=-10p+10+10[/tex]

Simplify.

[tex]-8p=-10p+20[/tex]

Add by 10p from both sides of equation.

[tex]-8p+10p=-10p+20+10p[/tex]

Simplify.

[tex]2p=20[/tex]

Divide by 2 from both sides of equation.

[tex]\frac{2p}{2}=\frac{20}{2}[/tex]

Simplify.

[tex]p=10[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

If the sum of the base and the height are 30, then b+h=30 or h=b-30.

Remember that the area of any triangle is A=½bh.

If you substitute in b-30 for h, then you create a function for the area in terms of the base.

A = ½b(30-b)=15b-½b2

The maximum area would be at the vertex of the parabola that would result from the function.  We can graph to find the max, but there is a simple formula for the x-coordinate of the vertex: -b/2a where b=the linear coefficient and a=the quadratic coefficient.

-15/2(-½)=15  meaning that a base of 15cm would provide the maximum area.  The corresponding height would be 30-15 or 15cm as well.

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The maximum area of a triangle where height plus base equals 30 cm occurs when both the base and height of the triangle are 15 cm each.

This is a problem of maximization. It's based on the principle that a right triangle will have its largest area when the two legs (in this case, the base and the height) are equal. This maximizes the product of the two dimensions. As a result, both the base and the height of the triangle are each 15 cm.

Here are the steps to confirm this: let's denote the base as b and the height as h. The area (A) of a triangle is given by the formula A = 0.5*b*h. Given that the sum of base and height is 30 cm (b + h = 30), we can substitute h = 30 - b into the area formula, giving A = 0.5*b*(30 - b).

By applying the quadratic formula, you find that the maximum area of the triangle is achieved when b = 15 cm. Because the sum of base and height is 30, we then find that h = 15 cm.

So, for maximum area, both base and height should be 15 cm.

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Answer:

920 miles

Step-by-step explanation:

Distance from New York City to Boston Massachusetts = 187 miles

Distance from Boston to Philadelphia, Pennsylvania = 273 miles

Total Distance of one side = 187 + 273

Total Distance of one side = 460 miles

The return distance will be the same that is 460 miles.

Total Distance of both sides = 460 + 460

Total Distance of both sides = 920 miles

Therefore, the plane flew total 920 miles.

!!

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

[tex]P=20x+35y[/tex]

Constraints,

[tex]x+y \leq 12[/tex]

[tex]5x+y \leq 20\\x \geq 0\\y \geq 0[/tex]

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

[tex]P=20x+35y[/tex]

[tex]P=20(0)+35(0)=0[/tex]

[tex]P=20x+35y[/tex]

[tex]P=20(0)+35(12)=420[/tex]

[tex]P=20(2)+35(10)=40+350=390[/tex]

[tex]P=20(4)+35(0)=80[/tex]

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

Answer:

420

Step-by-step explanation:

28 divided by 7 days a week would be 4 a day

Answer:

Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.

Step-by-step explanation:

The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.

Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.

Answer:

C) 20 + 36 = 4(5 + 9)

Step-by-step explanation:

The distributive property:

a(b + c) = ab + ac

Therefore your answer is C)

4(5 + 9) = (4)(5) + (4)(9) = 20 + 36

Answer: c

Step-by-step explanation: 20 + 36 = 36 x 20

( - 10, - 22 )

using the midpoint formula,

let the other endpoint have coordinates (x, y) then

[tex]\frac{1}{2}[/tex] (2 + x ) = - 4 ( multiply through by 2 )

2 + x = - 8 ( subtract 2 from both sides ) then

x = -8 - 2 = - 10 ← value of x-coordinate

Similarly for y-coordinate

[tex]\frac{1}{2}[/tex] (8 + y ) = - 7 ( multiply through by 2 )

8 + y = - 14 ( subtract 8 from both sides )

y = - 14 - 8 = - 22 ← y -coordinate

the other endpoint is ( - 10, - 22 )

First you would need to simplify.  

4³=64

100/24=4

5 ^0= 1 (anything to the power of 0 is 1)

So your equation now looks like 64 * 4 - 1

Your answer would be 255.

PEMDAS: Parentheses, Exponents, Multiplication & Division, Addition & Subtraction.  This is the order that operations are to be performed.

First, Parentheses

4³ * [tex](\frac{100}{25})[/tex] - 5⁰

= 4³ * 4 - 5⁰

Next, Exponents

4³ * 4 - 5⁰

= 64 * 4 - 1

Then, Multiplication & Division

64 * 4 - 1

= 256 - 1

Last step, Addition & Subtraction

256 - 1

= 255

Answer: 255

The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.

The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².

The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².

Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².

Choose an object and rotate it up to 180 degrees around its center. If at any point the object appears exactly like it did before the rotation, then the object has rotational symmetry.

Step-by-step explanation:

We are asked to determine when does a figure have rotational symmetry.

We know a figure has a rotational symmetry, when the figure maps onto itself after rotating it less than 180 degrees.  

In other words, we can say it is the property that a shape has when it looks the exactly same after some rotation.

When a figure maps onto itself exactly at 180 degrees, then the figure has a point symmetry.

Therefore, a figure has rotational symmetry if it maps onto itself after a rotation less than 180 degrees.

To determine the maximum number of sandwiches that can be made with the given turkey and cheese slices, we need to divide the total number of each type of slice by the number of slices needed for one sandwich. The minimum of these two results gives us the maximum number of sandwiches. In this case, the maximum number of sandwiches that can be made is 18.

In this case, we have 72 turkey slices and 18 cheese slices.

Therefore, the maximum number of sandwiches that can be made is the minimum of the number of turkey sandwiches and the number of cheese sandwiches, which is 18.

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