Mr. Harson installed a
new window
in his front room. Find the area
and perimeter of the new window

Answer:

6 games and 2 rides

Step-by-step explanation:

Start with the equation 3*1.50x+3y=15

Then plug that equation into desmos graphing calculator

Then round up

This will tell you the number of games, and rides Adam went on

Answer:

6000

Step-by-step explanation:

1 significant figure means that you only keep the first number of the value, and the rest is rounded.

Answer: 6000

Step-by-step explanation:

6491 contains 4 significant figures. 6491 rounded to 3 sig figs is 6490, to 2 sig figs is 6500, and to 1 sig figs is 6000.

Calculator Use. Round a number to a quantity of significant figures that you provide. Enter whole numbers, real numbers, scientific notation or e notation.

The equation of the line that passes through the points (−8, −10) and (6, 3)

The slope, m of the linear function is calculated using the points (−8, −10) and (6, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-10 - 3) / (-8 - 6)

m = (-13) / (-14)

m = 13/14

equation passing through point (6, 3) using the point slope formula

(y - y₁) = m'  (x - x₁)

y - 3 = 13/14(x - 6)

y - 3 = 13/14 x - 39/7

y = 13/14 x - 39/7 + 3

y = 13/14 x - 18/7

The equation of the line in slope intercept form is y = 13/14 x - 18/7

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The direct variation equation is y = 7x. The graph is shown below.

A direct variation equation is an equation that describes a relationship between two variables in which one variable is directly proportional to the other. This means that the ratio of the two variables is always the same, regardless of the values of the variables.

To write a direct variation equation, you need to know the constant of proportionality, which is the value that relates the two variables. Let's call this constant k.

Then, the general form of a direct variation equation is:

y = kx

where x and y are the two variables and k is the constant of proportionality.

Therefore, to write the equation of the direct variation, find the value of k by substituting y = 8.4 and x = 1.2 into y = kx:

8.4 = k(1.2)

8.4/1.2 = k

k = 7

Substitute the value of k into y = kx:

y = 7x

The graph of the equation is shown below.

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Answer: A fraction where the denominator (bottom number) is larger than the numerator (top number). Examples: [tex]\frac{3}{7}[/tex], [tex]\frac{15}{39}[/tex], [tex]\frac{42}{50}[/tex]

Step-by-step explanation:

The sample statistic 'S' is the point estimator of σ. So the correct answer is D: "σ".

In statistics, an estimator is used for the purpose of estimating a parameter that is not known. An estimator is defined as a function of the data in a sample. The sample mean and sample variance are common estimators, which which are used to estimate or guess the unknown population means and variance.

The 'S' is the sample statistic that is the point estimator of 'σ'; that is 'S' is an estimator of σ. Thus option D i.e. "σ" is the correct answer to this question.

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Analysing the given triangle in the question and applying the pythagoras theorem, the length of the third side for the given triangle is 4.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean Theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides.

The pythagoras theorem is named after the Greek mathematician-philosopher Pythagoras.

In the given triangle, the sides with given length are:

Perpendicular(p) = 3

Base (b) = [tex]\sqrt{7}[/tex]

so , hypotenuse (h) = [tex]\sqrt{p^{2} +b^{2} }[/tex] = [tex]\sqrt{(\sqrt{7}) ^{2} + 3^{2} }[/tex]= 4

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Answer:6 km

Step-by-step explanatiotion

the velocity is 36 km per hour

60 minutes per hour so 36/6= 6 km

The length of the Adjacent side = 4

The triangle which consists of at least one right angle triangle i.e 90° angle is known as the Right angle triangle.  

From trigonometric ratios, in a right-angle triangle

Here we have

Given a right triangle  

Tan 0 = 3/4

As we know tan = Opposite side/Adjacent side  

=>  Opposite side/Adjacent side = 3/4    

=>  Opposite side = 3 and Adjacent side = 4

Therefore,

The length of the Adjacent side = 4

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The value of the sequence aₙ₊₁ is -5.5

The definition of the sequence is given as

8.0, 6.5, 5.0, 3.5, . . .

The above definitions imply that we simply subtract 1.5 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ₊₁ = aₙ - 1.5

From the question, we have

aₙ = -4.0

Substitute the known values in the above equation, so, we have the following representation

aₙ₊₁ = -4.0 - 1.5

Evaluate

aₙ₊₁ = -5.5

Hence, the value of aₙ₊₁ is -5.5

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Answer:

x=2 y=9

slope intercept form

y= mx+ b

The partial derivative of r with respect to t at (0, 4) is e/4.

To find the partial derivative of r with respect to t, we need to hold the variable s constant and take the derivative of r with respect to t. The derivative of tes/t with respect to t is es/t^2. Since we are holding s constant at 0, we can replace s with 0, so we have e0/t^2 which simplifies to 0. Therefore the partial derivative of r with respect to t at (0, 4) is 0.

On the other hand, to find the partial derivative of r with respect to s, we need to hold the variable t constant and take the derivative of r with respect to s. The derivative of tes/t with respect to s is te/t. Since we are holding t constant at 4, we can replace t with 4, so we have 4e/4 which simplifies to e/4. Therefore the partial derivative of r with respect to s at (0, 4) is e/4.

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Answer:

x=a

Step-by-step explanation:

The expression for the perimeter of the triangle is; x + (2x + 3) + (x + 9)

The simplified expression for the perimeter of the triangle is; 4(x + 3)

A triangle is a plane shape that has exactly three sides. The perimeter of a triangle is the sum of length of its three sides.

Perimeter of a triangle = length 1 + base + length 3

In the given question, the expression for the perimeter of the triangle is;

length 1 = x

base = 2x + 3

length 3 = x + 9

Perimeter of triangle = length 1 + base + length 3

                   = x + (2x + 3) + (x + 9)

                   = x + 2x + 3 + x + 9

                   = 4x + 12

Perimeter of the triangle is 4x + 12

By factorization, we have;

perimeter of the triangle = 4(x + 3)

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Answer:

7 fewer than the number s is s-7

Answer: 7 fewer than a number s = s-7

Step-by-step explanation:

take away 7 from s

The sum of the solutions of the quadratic x² + 7x - 18 = 0 is -7.

Therefore the answer is -7.

Quadratic equations can have two solutions, which are also called roots. The sum of the solutions of a quadratic equation of the form ax² + bx + c = 0 where a, b, and c are constants can be found using the relation

sum of solutions = -b/ a

In this case, the quadratic equation is x² + 7x - 18 = 0, so a = 1, b = 7, and c = -18. Plugging these values into the formula, we get:

Sum of solution = -7/ 1

Sum of solution = -7

--The question is incomplete, the complete question is given below--

"Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

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The sum of the solutions of the

quadratic

x² + 7x - 18 = 0 is -7

The degree of the equation is 2 and so it will have 2 roots. This also means that the equation is a

quadratic equation

.

sum of solutions = -b/ a

The

roots

of the equations are -9 and 2.

Here a=1, b=7 and c= -18.

Hence

sum

of solutions = -b/a = -7/1 = -7

The question is

incomplete

, it should be "Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

The slope of the line is the steepness it shows. Mathematically the slope is represented as the change in y with respect to the change in x.

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To solve this we must be knowing each and every concept related to exponential decay and its calculations. Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

Exponential decay is indeed a scalar many of the exponential function, which has a known expected value (i.e. the individual lifespan of each item is exponentially distributed).

It may be stated as y=a(1-b)x, where y seems to be the ultimate amount, an is indeed the initial amount, b is indeed the decay factor, as well as x seems to be the time elapsed. y=a.b(x) with o<b<1 is the equations that  best describes exponential decay.

Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

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Because

9 lolipops + 2 pieces of gum eventually add up to 32 pieces of gum..

32 divided by 2 would give you 16  

9 times 16 =  144  

correct me if i am wrong))

The ratio of males to the total number of people present is 5/9.

In the given question, there were 48 females and 60 males present at the high school pep rally.

We have to find the ratio of males to the total number of people present.

As we know that,

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

Total females = 48

Total Males = 60

Total people = Total females + Total Males

Total people = 48 + 60

Total people = 108

Now the ratio of males to the total number of people present = Total Males/Total People

The ratio of males to the total number of people present = 60/108

The ratio of males to the total number of people present = 5/9

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A simplified ratio of 12:22, or 12 males to 22 people.

The ratio of males to the total number of people present can be found by calculating the proportion of males to the total number of people. To do this, we need to divide the number of males by the total number of people. In this case, there were 48 females and 60 males present, for a total of 108 people. Therefore, the ratio of males to the total number of people can be found by dividing 60 by 108, which is equal to 0.55. This ratio can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 5. This gives us a simplified ratio of 12:22, or 12 males to 22 people.

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Answer: Use the second equation, add the y on both sides to get x= y +14. Then plug in y+14 to the x in the first equation and solve. Take the solution of that to get y and plug it into the second equation to find the value of x.

Step-by-step explanation:

The coefficients are calculated by taking the derivatives of sin(x) at b = 0, which is the base point. The 3rd order Taylor polynomial is the 0th, 1st and 2nd derivatives, the 4th order Taylor polynomial is the 0th, 1st, 2nd and 3rd derivatives, and so on.

T3(x) = sin(x) - x^3/6

T4(x) = sin(x) - x^3/6 + x^5/120

T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040

T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

We will use the formula for the Taylor polynomial of degree n:

Tn(x) = f(b) + f'(b)(x-b) + f''(b)(x-b)^2/2! + f'''(b)(x-b)^3/3! + ...+ f^(n)(b)(x-b)^n/n!

Since b = 0, we have:

T3(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2!

     = 0 + 1(x-0) + (-1)(x-0)^2/2!

     = 0 + x - x^3/6

     = sin(x) - x^3/6

T4(x) = sin(0) + sin'(0)(x-0) + sin''(0)(x-0)^2/2! + sin'''(0)(x-0)^3/3!

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3!

     = 0 + x - x^3/6 + x^5/120

     = sin(x) - x^3/6 + x^5/120

T5(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4!

     = 0 + x - x^3/6 + x^5/120 - x^7/5040

     = sin(x) - x^3/6 + x^5/120 - x^7/5040

T6(x) = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

     = 0 + 1(x-0) + (-1)(x-0)^2/2! + (-1)(x-0)^3/3! + 1(x-0)^4/4! + (-1)(x-0)^5/5!

     = 0 + x - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

     = sin(x) - x^3/6 + x^5/120 - x^7/5040 + x^9/362880

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Answer:

To find the value of w, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (-9, w) and (x2, y2) = (5, 9). Plugging these values into the formula gives:

slope = (9 - w) / (5 - (-9))

Simplifying this expression gives:

slope = (9 - w) / 14

Since the slope is 1, we can set this expression equal to 1 and solve for w:

1 = (9 - w) / 14

14 = 9 - w

w = 9 - 14

w = -5

Therefore, the value of w is -5.

The value of x will be;

⇒ x = 5

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The polygons are similar.

Now,

Since, The polygons are similar.

Hence, There corresponding sides are in proportion.

⇒ 5 / 9 = (10/3) / (x + 1)

Solve for x as;

⇒ 5 (x + 1) = 9 × 10/3

⇒ x + 1 = 30/5

⇒ x + 1 = 6

⇒ x = 6 - 1

⇒ x = 5

Thus, The value of x = 5

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No, trigonometry is not an Indian word. Trigonometry is an area of mathematics that deals with the relationships between angles and sides of triangles.

It is used to solve many problems involving angles, distances, and other geometric shapes. Trigonometry is used in many different fields, such as surveying, engineering, astronomy, and more. Trigonometric functions are used to calculate the angles and sides of triangles, as well as to solve equations involving circles. Trigonometric ratios are also used to find missing sides and angles in right triangles.

Many of the concepts associated with trigonometry were first developed by the Ancient Greeks, but it was not until the 16th century that the foundations of modern trigonometry were found.

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The results of the algebraic expressions by means of distributive property are listed below:

Case 9: - 6 · x + 10

Case 10: - 24 · x + 18 · y

Case 11: 15 · y - 10 · x

Case 12: - 8 · x - 28

Case 13: - 7 · x + 14

Case 14: - 24 · x + 12

In this question we have six cases of algebraic expressions that must be simplified by means of distributive property, which states that a combination of three real numbers x, y and z has the following relationship:

x · (y + z) = x · y + x · z

Now we proceed to simplify each expression by means of distributive property:

Case 9

2 · (- 3 · x + 5)

- 2 · 3 · x + 2 · 5

- 6 · x + 10

Case 10

6 · (- 4 · x + 3 · y)

- 6 · 4 · x + 6 · 3 · y

- 24 · x + 18 · y

Case 11

(3 · y - 2 · x) · 5

3 · 5 · y - 2 · 5 · x

15 · y - 10 · x

Case 12

(- 2 · x - 7) · 4

- 2 · 4 · x - 7 · 4

- 8 · x - 28

Case 13

- 7 · (x - 2)

- 7 · x + 7 · 2

- 7 · x + 14

Case 14

- 3 · (8 · x - 4)

- 3 · 8 · x + 3 · 4

- 24 · x + 12

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The domain of the linear function beginning with open circle at negative 3 comma negative 5 and ending with an open circle at 3 comma 7 is

In the graph, the input values constitutes the domain, v while the output value is the range.

The domain is controlled by the input values. considering the graph, the domain are values from -3 to 3 with -3 and 3 not inclusive.

this include: -2 -1 0 1 2

It is written in the form {x | −3 < x < 3}

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Answer:

9√6ab² ,-5-√6ab²…2√6b²a are like radicals.

Answer: 7 bracelets

Step-by-step explanation:

1 bracelet : 2/3 ft

4 3/4 = 19/4 feet

19/4 / 2/3 = 19/4 * 3/2

= 57/8 = 7 bracelets max

Answer:

7 bracelets

Step-by-step explanation:

Length of the bracelet = 2/3 ft

Length of the whole string = 4¾ ft

So, to find the number of bracelets can be made, divide the length of the whole string by the length of a bracelet.

Let us solve it now.

[tex] \sf \: Number \: of \: bracelets = \frac{Length \: of \: the \: whole \: string}{Length \: of \: a \: bracelet} \\ \sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} [/tex]

First, make the fractions as improper fractions.

[tex]\sf \: No \: of \: bracelets = 4 \frac{3}{4} \div \frac{2}{3} \\ \sf \: No \: of \: bracelets = \frac{19}{4} \div \frac{2}{3} [/tex]

Now, multiply the first fraction by the reciprocal of the second fraction.

[tex] \sf \: No \: of \: bracelets = \frac{19}{4} \times \frac{3}{2} \\ \sf \: No \: of \: bracelets = \frac{57}{8} = 7.125 \\ \sf \: approx =7\: bracelets[/tex]

A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, then a total of 421 tiles can mall buy.

Division in mathematics is the process of dividing an amount into equal pieces.

A shopping mall has a total fund of $3,368 to spend on new tiles for the floor.

The cost of one tile is $8.

For finding the total number of tiles that can be bought for $3368 we need to divide the total budget of tile by the cost of one tile.

So, for finding the total number of tiles,

We will divide $3368 by $8

Dividing $ 3368 by 8, we will get the total number of tiles as: 421

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The mall can buy 423 number of tiles.

Given:

The mall has $3,368 to spend on new tiles

Each tile costs $8

We need to calculate:

The number of tiles the mall can buy

Solution:

We can divide the total amount of money the mall has to spend ($3,368) by the cost of each tile ($8) to calculate the number of tiles the mall can buy.

$3,368 ÷ $8 = 423

Therefore, the mall can buy 423 number of tiles.

The mall has $3,368 to spend on new tiles for the floor, and each tile costs $8. To determine how many tiles the mall can buy, we can divide the total amount of money the mall has to spend by the cost of each tile. When we do this, we find that the mall can buy 423 tiles. This means that with their budget of $3,368, the mall can purchase 423 tiles to replace the existing floor. It is important to have a reliable estimate of the number of tiles needed so that the mall can make sure they have enough money to complete the project without running out of funds. With the calculations done, the mall can now purchase the tiles and get started on the renovation.

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