. Two similar prisms have surface areas of 98 square centimeters and 18 square centimeters. What is the ratio of the height of the large prism to the height of the small prism?

The given function is f(x) = 2x-4,

We have to find the equation where the reflection of this function is over the x-axis.

There are two types of reflections in general when we talk about functions;

Now we take an example that we are provided with a point with coordinates (x, y). If we want to reflect it over the x-axis, then the coordinates of this point will become (x, -y). This is because the values of y are negative when we move above the x-axis and positive when we move below the x-axis and vice versa.

The equation to show this is: y = -f(x).

We multiply the entire function, f(x), to find it by a negative. Since f(x) = 2x-4, the transformed function is f(x) = -2x+4.

Therefore, the function rule for the function shown is -f(x).

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Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator, displayed above a line, and a non-zero denominator, displayed below that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

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The total bill that Ana would pay is $560.

The total bill that Ana owes is the sum of the first $100 and 10% of the remaining bill since the insurance company would pay 90% of the bill.

The mathematical operation that would be used to determine the total bills are addition, multiplication and subtraction. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of calculating the difference between two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Total bill = first $100 + 90%(total bill - $100)

$100 + 10%($4,700 - $100)

$100 + 10% x 4,600

$100 + (0.1 x 4,600)

$100 + $460

$560

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The coordinate for point O so that it divides AB in the ratio of AO to BO as 3:1 is (2, -1)

An equation is an expression that shows the relationship between two or more numbers and variables.

The line segment has endpoints at A(-7,11) and B(5,-5). Point O(x, y) divides the segment AB in the ratio 3:1, hence:

x = (3 / (3 + 1))[5 - (-7)] + (-7) = 2

y = (3 / (3 + 1))[-5 - 11] + 11 = -1

The coordinate for point O so that it divides AB in the ratio of AO to BO as 3:1 is (2, -1)

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Answer: (-4,7)

Step-by-step explanation:

you have to use distance formula

Answer:

x= - 10

Step-by-step explanation:

Divide both sides of the equation by 3, x+8= - 2. move the constant to the right side and change its sign, x= - 2 - 8. Calculate the difference and the solution will be x= - 10

The indefinite integral, [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{-1}{9} cos(9x) + C[/tex]

We have to find the indefinite integral,

    [tex]\int {sin(9x)} \, dx[/tex]

using the substitution 9x = u.

So we need to change the variable of integration from x to u using this substitution.

9x = u ⇒ 9 dx = du

So   [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{1}{9} \int{sin(u) \ du[/tex]

                          = 1/9 (- cos(u)) + C,   [ Since integral of sin(u) = -cos(u) ]

where C is the integration constant which is often put when evaluating indefinite integrals.

Now replacing u with x to get the final answer,

1/9 (- cos(u)) + C = -1/9 cos(9x) + C

Therefore,   [tex]\int {sin(9x)} \, dx[/tex] = [tex]\frac{-1}{9} cos(9x) + C[/tex]

The question is incomplete. Find the complete question below:

Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form.   [tex]\int {sin(9x)} \, dx[/tex], 9x = u.

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Answer:

the answer is

[tex]176 \times \frac{41}{53} [/tex]

hope this helps

Answer: 6.1

Step-by-step explanation:

If the digit after the underlined digit is 4 or less, then you round down. If the digit after the underlined digit is 5 or more, than you round up.

6.13 rounded to the nearest tenth is 6.1

Answer:

I'm pretty sure it's -1 but correct me if I'm wrong

Answer: x=-1

Step-by-step explanation:

x=-1

because

2x - 10

over = 3x

4

we can put everything in parentheses and multiply by 4

2x - 10

4( over )= (3x) 4

4

The 4's on the left side will cancel out around and leave

2x - 10

on the right we multiply 3x x 4 which equals 12x

rewrite the equation

2x - 10 = 12x

subtract 2x on each side with the variable.

2x - 10 = 12x

-2x -2x

the 2x's on the left will cancel out.

on the right 12x - 2x equals 10x

now the equation is

-10=10x

but we are not done

divide 10 on each side

on the left -10/ 10 equals -1 because one number is negative and that does not give a postive result.

on the right 10x/ 10 the 10's cancel out leaving the varible x

we are left with

x=-1

If 50 grams of cheese contain 200 Calories, 280 kcal are in 70 grams of cheese.

50g = 200 kcal

1g = 200 kcal / 50g

70g = (200 kcal / 50g) × 70g

      = 280 kcal

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

So,

Given: BD bisects ∠B and BD ⊥ AC.

To prove: ∠A ≅ ∠C

First, prove that △ABD≅△BDC.

So, △ABD≅△BDC under AA condition.

Therefore, ∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

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Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

Answer:

the answer is -2

Step-by-step explanation:

I hope this helps! :)

Answer: 4 scarves.

Step-by-step explanation: $47-$19= 28. 28 divided by $7 is 4, so Jesse could buy 4 scarves with the remaining money.

The  justification for the first step in proving the formula for factoring the sum of cubes [tex]a^3+b^3[/tex] is the distributive property.

Given the formula for sum of cubes [tex]a^3+b^3[/tex] = [tex](a+b)(a^2-ab+b^2)[/tex]

                                                                       = [tex]a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]

In this step distributive property is utilized.

Distributive property is used for expanding the factors into the polynomial.

i.e., a(b+ c) = ab +ac

or, (a+ b)c = ac + bc

This is referred as the distributive property.

In the formula for  [tex]a^3+b^3[/tex], (a+ b) is distributed over  [tex](a^2-ab+b^2)[/tex].

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Answer:

a. Distributive

Step-by-step explanation:

took da test 100%

Answer:

assuming the coupon came b4 everything else : $ 45.75

Step-by-step explanation:

ten off of 54.99 is 44.99

10 % of 44.99 is 4.499

44.99 - 4.499 is 40.49

13% of 40.49 is 5.26

so 40.49 + 5.26 is 45.75

Answer: only the first one

Step-by-step explanation:

Answer:

More practically, MORE than $150 is wanted so the answer is 3x-x+2=4

Step-by-step explanation:

Any choice of WHOLE NUMBER divisible by 3 will work for x to give a whole number for y, for acceptable points ON the line; but points found ABOVE the line with whole number coordinates would also be acceptable for this INEQUALITY problem. As example, do you understand that x=27, y=11, will work? It is just one of many, many possible solutions.

The 25th term in the sequence 11, 20, 29, 38, 47… is 227.

Based on the information illustrated, it should be noted that the 25th term in the sequence 11, 20, 29, 38, 47… will be calculated thus:

In this case, this is an arithmetic sequence. The formula to calculate the sequence will be:

= a + (n - 1)d

a = first term = 11

d = common difference = 9

The 25th term will be:

a + (n - 1)d

= 11 + (25 - 1)9

= 11 + (24 × 9)

= 11 + 216

= 227

The 25th term is 227.

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Answer:

7

Step-by-step explanation:

25÷3.29=7.59

you can't buy half a fish and rounding up would go over budget so you buy 7 with a little change left over

Answer:

You can only buy 7.

Step-by-step explanation:

the most you can spend is $25 so you divide 25 by 3.29 which gives us 7.6 but in this case we don't round because you can only spend $25, so you can only buy 7.

For the value of (b = -5) the result of the solution is x ≤ - 6.

The term inequality refers to a mathematical equation wherein the sides are not equal. An inequality equates any two values and shows that one is less, greater, or equal to the value on either side of the equation.

Consider the given expression;

38 ≤ bx + 8

Simplify the equation;

38 - 8 ≤ bx

30 ≤ bx

Multiply both side with negative sign; by the rule four, the sign of inequality will also change.

- 30 ≥ -bx

or  -bx ≤ - 30

For converting the value to the expression x ≤ - 6; the value which should be divide the 30 is 5.

Thus,

-(-5)x  ≤ - 30

Thus, the value of b is found as (b = -5).

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Answer:

5/4+5/9

45/36 +20/36

65/36

1 30/36

According to the question, the utility function can be written as: [tex]U(x,y)=min(341,172)[/tex]

What is utility function and perfect complements?

A utility function is a standard rule which is assigned to all consumption bundles. And it is represented as two good models which are known as domain and codomain. It is also used to represent the individual items for the goods or services beyond their monetary value. Similarly, when two goods are consumed perfectly then they are called perfect complements.

Similarly, Perfect complement is: [tex]max(341,172)[/tex]

Therefore, the equations can be written for the points(1,2):

[tex]x_{1} +2x_{2} =172[/tex]  and [tex]x_{1} +x_{2} = 341[/tex]

And the calculated equation is perfect complements:

[tex]x_{1} +2x_{2} =172[/tex] and [tex]x_{1} +x_{2} = 341[/tex]

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(A) x2 + (y – 3)² = 36, is the equation that represents circles with a diameter of 12 units and a center on the y-axis.

So, the standard form for calculating the equation of a circle is as follows:

(x-a)² + (y-b)² = b = r²

Where;

Information:

If the center is on the y-axis, it will be at (0, 3).

By substituting into the formula, we get (x-0)² + (y-3)² = 6² is equivalent to

Therefore, the equation that represents circles with a diameter of 12 units and a center on the y-axis is (A) (A) x2 + (y – 3)² = 36.

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The correct question is given below:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

a. x2 + (y – 3)2 = 36

b. x2 + (y – 5)2 = 6

c. (x – 4)² + y² = 36

d. (x + 6)² + y² = 144

e. x2 + (y + 8)2 = 36

The base and height of parallelogram is 6 meters and 18 meters.

We are given the relationship between base and height of parallelogram. Let the height be h and base be b. The equation is as follows -

h = 3×b

The formula to calculate area of parallelogram is -

Area = base × height

Keep the values in formula to find the base of parallelogram -

108 = b×3×b

Performing multiplication on Right Hand Side of equation

108 = 3b²

b² = 108÷3

Performing division to find the base of parallelogram -

b² = 36

b = √36

Taking square root of b

b = 6 meters

So, the base of parallelogram is 6 meters.

Height = 3 × 6

Performing multiplication

Height = 18 meters

Hence, the base and height of parallelogram are 6 meters and 18 meters.

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The first five terms of a sequence with explicit formula a(n) = 2n - 1 are 1,3,5,7,9  (G)

An arrangement of numbers with particular pattern is called a sequence. In general, there are four types of sequence: arithmetic sequence, geometric sequence, quadratic sequence, and special sequence.  

Suppose we are given an explicit formula for the nth term of a sequence, then its terms can be evaluated by substituting n = 1, 2, ...

The explicit formula of the given sequence:

a(n) = 2n - 1

Take n = 1, then

a(1) = 2.(1) - 1 = 1

Take n = 2, then

a(2) = 2.(2) - 1 = 3

Take n = 3, then

a(3) = 2.(3) - 1 = 5

Take n = 4, then

a(4) = 2.(4) - 1 = 7

Take n = 5, then

a(1) = 2.(5) - 1 = 9

Hence, the first five terms are 1,3,5,7,9  (G)

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Answer:

see explanation

Step-by-step explanation:

A drop in temperature is indicated by - ( negative symbol )

A drop of 2° followed by a drop of 3° is

- 2 + (- 3) = - 2 - 3 = - 5°

the sign of the sum is -  ( negative add a negative is negative )

the total change in temperature is - 5°

the sum of 2 positive integers is positive , that is

+ 2 + (+ 3) = + 2 + 3 = = + 5

90°  rotation in clockwise direction.

What is coordinates ?

The formulae for finding the new coordinates are given by

x' = x cosθ - y sinθ

y' = x sinθ + y cosθ

Substituting θ = 270

x' = x cos270° - ysin270°  = x(0) - y( -1) = y

y' = x sin270° + y cos270° = x(-1) + y( 0) = x

New coordinates are ( y , -x)

270° rotation in anti-clockwise direction is same as   360 -270 = 90° rotation in clockwise direction.

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