Soledad has a storage box. The box is 6 1/2 inches long, 4 3/4 inches wide and 7 inches tall. She wants to run a border around the top of the box. How much border does she need?

Answer:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]

Step-by-step explanation:

If we call "x" the number of call minutes used with this plan, the piecewise function used to describe it must represent;

a) a constant value of 29 for any x value smaller than or equal to 250

b) a line with positive slope of 0.35 for the region with x larger than 250. The mathematical representation of such increasing straight line, should be given by a line of slope m = 0.35, and containing the point (250, 29) which is the starting point for this right hand side portion of the domain:

[tex]f(x)=0.35(x-250)+29\\f(x)=0.35 x-87.5+29\\f(x)=0.35 x-58.5[/tex]

So the function should look like:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]

or as shown above, in a more simplified form:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {0.35x-58.5\,\,\,for \,\,x>250}} \right.[/tex]

Answer:

1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Step-by-step explanation:

Answer:

4.5 ft

Step-by-step explanation:

Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,

18/x = 8/2

Let's solve for x as required.

We have,

18/x = 8/2

=>Cross multiply:

18 × 2 = 8 × x

36 = 8x

=>Divide both sides by 8

36/8 = x

4.5 = x

x = 4.5 ft

The first option is our answer = 4.5 ft

Answer:

One sec

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-4x=1

it crosses y-axis where x=0

y-4(0)=1

y=1

so point is (1,0)

y=2x+c

∵(0,-3) lies on it.

-3=2(0)+c

c=-3

so y=2x-3

∵(k,10) lies on it.

10=2k-3

2k=13

k=13/2

Answer:

30 cm

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

60pi = 2* pi *r

Divide each side by 2pi

60/2pi = 2 pi r/ 2pi

30 =r

Answer:

Step-by-step explanation:

circumference , c = 60[tex]\pi[/tex] cm

we know circumference of a circle = 2[tex]\pi[/tex]r

ie  2*[tex]\pi[/tex]*r=60[tex]\pi[/tex]

ie   2r=60

radius = 30cm

hope it helps you..

Answer:

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

[tex]3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}[/tex]

3^2 ; Option B

Answer:

The answer would be [tex]3^{2}[/tex].

Step-by-step explanation:

-Solve the following equation:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

-When dividing integers, the exponents would subtract each other. So, you subtract exponent [tex]0[/tex] and [tex]4[/tex]:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

-Simplify [tex]3^{4}[/tex] by the exponent [tex]2[/tex]:

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

[tex]3^{-6} \times 3^{8}[/tex]

-When multiplying integers, the exponent would add up together. So, you would add [tex]-6[/tex] and [tex]8[/tex]:

[tex]3^{-6} \times 3^{8}[/tex]

[tex]3^{2}[/tex]

So, the answer is [tex]3^{2}[/tex].

Answer:

-8.5

Step-by-step explanation:

17/2 = 8.5

f = 8.5

f -1(17) = 8.5 -17 = -8.5

-8.5 is your answer

The value of [tex]f^{-1}(17)[/tex] is 2.

From the definition of function we know that if f(x) = y , where x and y are two real values having range of (-∝,+∝) , then

[tex]f^{-1}(y) = x[/tex]

Thus in the problem, it is given that f(2) = 17 .

Using the above identity, we can find the value of [tex]f^{-1}(17)[/tex]

∴  [tex]f^{-1}(17) = 2[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Inequalities of the form | x | < a have solutions of the form

- a < x < a

Given

| x - 4 | < 3 , then

- 3 < x - 4 < 3 ( add 4 to the 3 intervals )

1 < x < 7

Thus x > 1 or x < 7

The solution of the given inequality is x < 7 or x > 1.

To solve the inequality Ix - 4| < 3, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x - 4 > 0

In this case, we don't need to consider the absolute value because the expression inside it is already positive.

So we have:

x - 4 < 3

Adding 4 to both sides:

x < 3 + 4

x < 7

Case 2: x - 4 < 0

In this case, the expression inside the absolute value is negative, so we need to negate it when removing the absolute value. Therefore, we have:

-(x - 4) < 3

Expanding the negation:

-x + 4 < 3

Subtracting 4 from both sides:

-x < 3 - 4

-x < -1

Dividing both sides by -1 and flipping the inequality sign:

x > 1

Combining the results from both cases, we have the solution:

x < 7 or x > 1

In interval notation, the solution is (-∞, 1) U (7, +∞).

Hence the solution of the given inequality is x < 7 or x > 1.

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Answer: 12(X+8)=240

Step-by-step explanation: We then would have to do the distributive property and you end with 12x+96=240

Subtract 96 from each side

Then you end with

12x=144

You then divide 12 from each side and see that X=12!

Hope this helps

P.S. It would mean a lot if you marked brainliest

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

Answer: - 1 3/4

Step-by-step explanation: You have to keep the first number and flip the second number, and you end with -1 3/4

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Answer:

2:5

Step-by-step explanation:

Answer:

9 blocks

Step-by-step explanation:

The answer is D, 9.

Just count the blocks.

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I believe you just multiply all the values together

3 x 3 x 9 = 81

You can make 81 different pizzas

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The number of different pizzas Can I make is 81.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3\times 3\times 9[/tex]

= 81

Therefore we can conclude that The number of different pizzas Can I make is 81.

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Answer:

-2, 1 Maximum

Step-by-step explanation:

Hi there

I think I may have the answer for you!

Answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please make sure to check my answer and mark it/

Jake

There are 7,920 different ways can the students finish first, second, third, and fourth.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eleven students are competing in an art contest.

Now,

Since, Eleven students are competing in an art contest.

Hence, We get;

Number of ways = 11 x 10 x 9 x 8

                          = 7,920

Thus, There are 7,920 different ways can the students finish first, second, third, and fourth.

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Step-by-step explanation:

x:y=3:7

x+y=180

3+7=10

180/10=18

to find x

18*3=54

x+10+z=180

54+10+z=180

64+z=180

z=180-64

z=116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A cyclic quadrilateral is shown.

x / y = 3 / 7

y = 7x / 3

We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then the equation will be

x + y = 180°

x + 7x/3 = 180°

10x/3 = 180°

x = 54°

Then another equation is given as,

x + 10° + z = 180°

54° + 10° + z = 180°

z = 116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

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The complete question is attached below.

Answer:

Step-by-step explanation:

[tex]F\left[X] = 5X +7X -2 =12X-2\\[/tex]

[tex]g\left[x] = -2x^2+4x+5 \\[/tex]

[tex]f(x) - g(x) \\= 12x -2 - ( -2x^2+4x+5)\\=12x-2+2x^2-4x-5\\=2x^2 + 8x -7[/tex]

Answer:

2x^2+8x-7

Step-by-step explanation:

Combine like terms 5x+7x in your f(x) equation.  

f(x) = 12x-2 then subtract g(x) from f(x).

12x-2-(-2x^2+4x+5)

Now distribute the negative to everything in the parenthses to change the signs.

12x-2+2x^2-4x-5.

Now, combine like terms.  12x-4x=8x

Combine -2-5=-7

Next, order expression beginning with largest exponent:

Your answer:  2x^2+8x-7.

Answer:

22

Step-by-step explanation:

-15 plus 28 plus 9 equals 22

Answer:

your answer is A.)22

Step-by-step explanation:

first you take -15+28 which means subtracting and you get 13 then you take 13+9 and get 22

Answer:

D

Step-by-step explanation:

Its trying something new and that is basically what an experiment is.

Answer:

THE ANSWER IS D

Step-by-step explanation:

A

P

E

X

Answer:

9 in hundredths place

Step-by-step explanation:

2.693 count from 6 in tenth and 9 in hundredths

Answer:

9

Step-by-step explanation:

2.693

2 is the ones place

the . is the decimal point

6 is the tenths place

9  is the hundredths place

3 is the thousandths place

Answer:

22.4 cm^2

Step-by-step explanation:

Area of a parallelogram= base x height

or bxh

here base is 8cm and height is 2.8cm so,

Area = 8x2.8

= 22.4 cm^ 2

Answer:

x= 141

Step-by-step explanation:

12 squared is 144 so 144 subtracted by 3 is 141 therefore x=141

Answer:

47. 1 inches ; where inches ⇒ units

Step-by-step explanation:

Consider the Circumference as such;

[tex]Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches[/tex]

From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units

Answer:

47. 1

Step-by-step explanation:

The equation for the circumference of a circle is C = pi X diameter.

Answer:The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1  1/5

Hope this helps!

Step-by-step explanation:

Answer:

x=2 and x=-5

Step-by-step explanation:

factoring the equation

x^2+6x-4-3x-6=0

x^2+3x-10=0

(x-2)(x+5)=0

x=2  and x=-5

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

    A B   =   [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]

    A B =   [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]

   AB   = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]

  AB    =  √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

Answer:

1

Step-by-step explanation:

Just finished Quiz 4: Complex Numbers, of which this was one of the questions.

Answer:

about 1 and 3/10

Step-by-step explanation:

i may be wrong

tell me if i am wrong

sorry