Which ordered pair is a solution of the equation
y = 7x-2

Answer:

Rhombus angles add to 360.

Angle y = 62 degrees.

Angles x and z are both 118 degrees.

Step-by-step explanation:

All the interior angles of a rhombus add up to 360°.

The opposite angles of a rhombus are equal to each other.

So angle y = 62

360-(62*2) = x+z

360-124 = x+z

236 = x+z

Angles x and z are equal to each other!

So 236/2 = 118

Angles x and z = 118

Answer:Michelle paid $56.15 for her shoes

Step-by-step explanation:

Answer:Michelle paid $56.15 for her shoes

Step-by-step explanation:

Since Michelle paid $3.89 more for her shoes compared to Conrad, who paid $52.26. This means you have to add $3.89 to $52.26.

$3.89+$52.25= $56.15

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Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

The explanation of the student's error is mentioned below in the main solution regarding transformation

Given that A student claimed that the transformation (x, y) → (3x, y) is a rigid motion because the segment joining (5,0) to (5,2) is transformed to the segment joining (15,0) to (15,2), and both of these segments have the same length and asked to find an error

Rigid transformation :

Rigid transformations imply that the size and shape of the object in fig should not change; however, the object is stretched in this case, and thus the shape of the object changes even though the length of the segment remains constant. ( image is attached for further references)

Therefore, the student's error is explained

Hence, The explanation of the student's error is mentioned above in the main solution regarding transformation

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The equation that results if Kiran squares both sides as his first step is gotten as; x + 2 - 10√(x + 2) + 25 = 121

We want to simplify the expression;

[√(x + 2)] - 5 = 11

Squaring both sides is;

([√(x + 2)] - 5) * ([√(x + 2)] - 5) = 11 * 11

⇒ x + 2 - 10√(x + 2) + 25 = 121

Thus, the correct answer is;

x + 2 - 10√(x + 2) + 25 = 121

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

3.2

Step-by-step explanation:

3.2 is correct

Answer:

I believe 14 but I'm not sure

Answer:

Step-by-step explanation:

Can you please include a image?

Thanks!!!

Answer: Plumber B

Step-by-step explanation:

Plumber A: First, multiply $55 times 4, then add the fee of $40. This will give you $260 as total. This is how much it would cost for Plumber A.

Plumber B: Multiply $40 by 4 and then add $60. This gives you $220, showing that Plumber B is a better option.

Answer:

Plumber B

Step-by-step explanation:

We could set up 2 expressions, and set the time to be 4 hours, and see which plumber costs less:

Plumber A: 40+55*4 = $260

Plumber B: 60+40*4 = $220

Plumber B is cheaper, so therefore he/she is the better option.

Answer:

a) 676, 1296

b) 17576, 46656

c) 456976, 1679616

Step-by-step explanation:

firstly we know that there are 26 letters in the alphabet.

there are 26 ways of choosing the first character and 26 ways choosing the second character,

Therefore, the possible number of domains with two leeter is;

n = 26²

= 26 × 26

= 676

now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore the possible number of domains with two characters is;

n = 36²

= 36 × 36

= 1296

b)

there are 26 ways of choosing each character

therefore, the possible number of domains with three letters is

n = 26³

= 26 × 26 × 26

= 17576

when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore , the possible number of domains with three characters is;

n = 36³

= 36 × 36 × 36

= 46656

c)

there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;

n = 26⁴

n = 26 × 26 × 26 × 26

n = 456976

when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore, the possible number of domains with four characters is;

n = 36⁴

n = 36 × 36 × 36 × 36

= 1679616

There are 676 domain names consisting of just two letters in a sequence that can be formed.

There are 1296 domain names of length two are there if digits, as well as letters, are per-mitted as characters.

There are 17576 domain names are there consisting of three letters in sequence.

There are 46656 of this length are there if either letters or digits are permitted.

As of April 2006, roughly 50 million web domain names were registered.

1. How many domain names consisting of just two letters in sequence can be formed?

There are 26 letters in the English alphabet.

Combining 2 domain names with letters alone will be;

\(\rm =n^2\\\\ = 26^2\\\\ =26 \times 26\\\\=676\)

2. How many domain names of length two are there if digits, as well as letters, are per-mitted as characters.

If digits are allowed with letters:

There are 10 digits from 0-9.

Therefore 26 letters + 10 digits = 36

\(\rm = n^2 \\\\= 36^2 \\\\ = 36 \times 36 \\\\ = 1296\)

3. How many domain names are there consisting of three letters in sequence?

There are 26 ways of choosing each character;

Therefore, the possible number of domains with three letters is;

\(= \rm n^3\\\\= 26^3\\\\= 26 \times 26 \times 26\\\\= 17576\)

4. How many of this length are there if either letters or digits are permitted?

The digits are allowed, there are 26 + 10 = 36 characters to be used in total

Therefore, the possible number of domains with three characters is;

\(\rm = n^3 \\\\= 36^3 \\\\ = 36 \times 36 \times 36\\\\ = 46656\)

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There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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This is an arithmetic sequence

The nth term of an arithmetic sequence is Tn = a + (n-1)d

a is the first term.

n is the number of terms

d is the common difference

Given that 19th term of the sequence is:

         gn=gn−1⋅(−12) if g17=162

Suppose a=12

Then,

The 17th term g17=a+(n-1)d

                           = 12+(17-1)d

'n' means number of terms

                        12+(17-1)d=162    because g17=162

                        12+16d=162

                         16d=162-12

Subtract the values,

We can write,

                         16d=150

                           d=150/16

Divide the values,

We can write,

                           d=25

To get the sixth term g6

      g6=12+(6-1)d

           =12+5d

     Replace with d value in above equation,

Then,       g6=12+5(25)

              g6=12+125

               g6=137

So, the sixth term is g6=137.

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Answer:

d = \(\sqrt{10\\\)

Step-by-step explanation:

Use the distance formula: d = \(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}\)

A (0, 0)

B ( 1, 3)

d = \(\sqrt{(1 - 0)^{2} + (3 - 0)^{2}\)

d = \(\sqrt{(1)^{2} + (3)^{2}\)

d = \(\sqrt{1 + 9\)

d = \(\sqrt{10\)

Answer: 24

Step-by-step explanation:

8 x 6 x 3 is 144

5 x 4 x 3 is 60

144 minus 60 is 84

Answer:

D) 1/2(s+u), 1/2( t+v)

Step-by-step explanation:

use def of midpoint find the average of the corresponding  x and y coordinates

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

311.3 feet

Step-by-step explanation:

1 yard = 3 feet

Therefore, 103.76 yards = 311.28 feet (by multiplying 103.76 by 3)

Rounding to the nearest tenth gives us 311.3 feet.

Answer:

Hello your question is poorly written attached below is the complete question

Answer :

a) R'( 120 ) = 3000

b)  Increase the manufacturers revenue

Step-by-step explanation:

Given data:

F (120) = 9000 pairs

F' (120) = -50 pairs of shoes

R(p) = P * F(p)

a) find R' ( p )

R'(p) = P * F'(p)  + F(p) * 1

∴ R' ( 120 ) =  120 * ( -50 ) +  9000 * 1

                  = 3000

b) A small Increase in price by $3000 will Increase the manufacturers revenue

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

Answer:

x = 11/2 = 5.5

Step-by-step explanation:

2x-6 = 5

2x = 11

x = 11/2 = 5.5

Using the inverse function method, the value of x should be x = 7/2 or x = -5

From the case, we know that:

f(x) = (6x + 7) / 2

g(x) = 3x - 5

f⁻¹.g⁻¹(x) ?

First, we need to find the inverse function of each given functions. We assume that:

f⁻¹(x) = p

g⁻¹(x) = q

f⁻¹(x) = (6x + 7) / 2

p = (6x + 7) / 2

2p = 6x + 7

2p - 7 = 6x

x = (2p - 7) / 6

f⁻¹(x) = (2x - 7) / 6

g⁻¹(x) = 3x - 5

q = 3x - 5

q + 5 = 3x

x = (q + 5) / 3

g⁻¹(x) = (x + 5) / 3

Next, we will try to find the value of x

f⁻¹.g⁻¹(x) = 0

(2x - 7) . (x + 5) = 0

     6           3

(2x² - 7x + 10x - 35) = 0

             15

2x² +3x - 35 = 0

(2x -7) (x+5) = 0

x = 7/2 ∨ x = -5

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Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

Don't know the answer. Sorry

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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