need help aspa pls pls

The price that Winners wants to pay for the jackets is $82.50

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

45%

= 45 percent

= 45 / 100

= 0.45

The factor 0.71 is a discount factor so we subtract from 1

1 - 0.45 = 0.55

The price Winner wants to pay

= 0.55 * 150

= $82.50

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The given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).

The given trigonometric expression is 1-tan(a).

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

We know that, tanθ=sinθ/cosθ

Now, 1-tan(a) =1-sin(a)/cos(a)

= (cos(a)-sin(a))/cos(a)

Therefore, the given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).

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If two cones are similar, then the height of the larger cone will be equal to 3 cm.

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the data provided in the question,

For volume, the scale factor is,

k³ = 27/8

For length, the scale factor is,

k = ∛27/8

k = 3/2

Then the height of the larger will be,

h = 3/2 × 2

h = 3 cm.

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The number of pencils that will be in the large package, given the ratio of the pencils to pens in the package, is 25 pencils

In the original package, the ratio was such that there was 4 pens for every 10 pencils. This means that the number of pencils per pen was:

= 10 / 4

= 2. 5 pencils per pen

If there is a larger package with the same ratio and the number of pens in the package is 10 pens, then the number of pencils would be:

= Number of pens x Pencils per pen

= 10 x 2.5

= 25 pencils

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Answer:

18

Step-by-step explanation:

If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes.  This would be 60% or .6

.6x30 = 18

You can subtract the right side and factor the result, or you can factor the left side then see what happens.

... 5x² +22x +8 = 5x +2

... 5x² + 2x +20x +8 = 5x +2 . . . . split the x term so we can factor by grouping

... x(5x +2) +4(5x +2) = (5x +2)

Now we can subtract the right side and finish the factoring.

... x(5x +2) +(4 - 1)(5x +2) = 0

... (x +3)(5x +2) = 0 . . . . . the factorization of your equation

_____

If we start by subtracting the right side, we are looking to factor ...

... 5x² +17x +6 = 0

... 5x² +2x +15x +6 = 0 . . . . . split the x-term to help factoring by grouping

... x(5x +2) +3(5x +2) = 0 . . . factor pairs of terms

... (x +3)(5x +2) = 0 . . . . . . . . combine the results

______ _____

Factoring quadratics with the leading coefficient not equal to 1 is similar to factoring when it is equal to 1. Here, (after subtracting the right side), we are looking for factors of 5·6 = 30 that add to 17, the coefficient of the x-term.

... 30 = 1·30 = 2·15 = 3·10 = 5·6

The sums of these factor pairs are 31, 17, 13, 11. We see that the factor pair (2, 15) is the one we want, as its sum is 17. You will note these are the numbers used to divide the x-term for factoring by grouping. We rewrote 17x as 2x +15x. (There are other ways to use these numbers, but this is perhaps the easiest to see and remember.)

Answer:

(5x + 2)(x + 4)

Step-by-step explanation:

So, we have the equation [tex]5x^2+22x+8[/tex] right?

To get the [tex]x^2[/tex] we are going to need 'something' x in the first x slots of our factor form, like this:

(?x ± ?)(?x ± ?)

5 is a prime number, so one of the x's will be a 5x, and the other one a 1x:

(5x ± z)(x ± q)

z * q must be 8, and 5 * q + z must be 22

2 * 4 is 8

Let's plug these values in:

(5x + 2)(x + 4)

Let's multiply this out:

[tex]5x^2+22x+8[/tex]

This matches with our original equation!

So, our answer is:

(5x + 2)(x + 4)

The standard deviation of the sampling distribution of sample means using the given information is 1.8

What does the mathematical term "rounding" mean?

Rounding is a method for estimating a specific number in a situation. To determine how to round a number, look at the next digit in the appropriate position; if it is less than 5, round down, and if it is greater than 5, round up. The precise rounding of decimal figures is referred to as "rounding decimals."

What are the guidelines for rounding off decimal numbers?

To locate the rounding digit, look at its right side.

If the right-side numbers are less than 5, consider them to be equal to zero.

The digit on the right is increased by one and the other digits are treated as zero if the right-side digits are greater than or equal to 5.

The population standard deviation divided by the square root of the sample size, or n, gives the standard deviation of the sampling distribution of sample means, or x, for any given population. Therefore:

For the provided data, the sampling distribution's standard deviation of sample means is [tex]\frac{14}{\sqrt{64} }[/tex], or 1.8.

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The functions representing exponential growth or decay are f(x) = 3²ˣ⁺¹, f(x) = 0.8ˣ⁻⁰, f(x) = π⁴ˣ, f(x) = (4/9)ˣ, f(x) = -(3)ˣ, f(x) = (-3)ˣ

An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form f(x) = aˣ

Where a>0 and a is not equal to 1, and x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In the question, the functions that are exponential are

f(x) = 3²ˣ⁺¹, f(x) = 0.8ˣ⁻⁰, f(x) = π⁴ˣ, f(x) = (4/9)ˣ, f(x) = -(3)ˣ, f(x) = (-3)ˣ

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Using percentage formula, the mark up price on the microscope is £49

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Markup shows how much more a company's selling price is than the amount the item costs the company. In general, the higher the markup, the more revenue a company makes. Markup is the retail price for a product minus its cost, but the margin percentage is calculated differently.

Let's find 50% of £98

50 / 100 = x / 98

0.5 = x / 98

x = 0.5 * 98

x = 49

The mark up price is £49

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A way to measure things is the metric system. Calculations and research use it all around the world.

In the metric system, the following units are used to measure length, weight, and capacity:

Debit card thickness and length measurements, fabric length measurements, and distances between cities are a few examples.

The weight of fruits or our own body weight are two examples.

Calculating the volume of water in a water tank or the amount of juice in a juice can are two examples.

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Answer:

22/27

Step-by-step explanation:

5 play nothing.

27 - 5 = 22

22 play basketball only or baseball only or both.

p(plays baseball or basketball) = 22/27

Answer:

55 Hot dogs were sold

Step-by-step explanation:

Let d = hot dogs

Let h = hamburgers

d + h = 175

d + 1.50h = 235

Re-write

d + h = 175 for d and then substitute this into the second equation

d = 175 - h

d + 1.5 h = 235

175 - h + 1.50h = 235  Combine like terms

175 + .5h = 235  Subtract 175 from both sides

.5 h = 60  Divide both sides by .5

h = 120

120 Hamburgers were sold.  

Plug in 120 for h to solve for hot does

d + h = 175

d + 120 = 175  Subtract 120 from both sides

d = 55

Check

d + 1.5h = 235

55 + 1.5(120) = 235

55 + 180 = 235

235=235

Your answer is -5.

Hope this helps.

The roster method to write the set A' will be {c, d, e}.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

Let U = {b, c, d, e, f, g, h} and A = {b, f, g, h}.

The roster method to write the set A' will be given as,

A' = U - A

A' = {b, c, d, e, f, g, h} - {b, f, g, h}

A' = {c, d, e}

The roster method to write the set A' will be {c, d, e}.

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Answer:

137.11 mg

Step-by-step explanation:

divide 200 mg by 2 = 100 mg

divide 100 by 1590 = 0.0628930818

multiply this by 1000 = 62.8930818

subtract 62.8930818 from 200 = 137.1069182

137.1069182 rounded to 2 decimal places is 137.11 mg

therefore, the answer is 137.11 mg

⇒Find the sum of  12t+8 and [tex]t^{2} -10t+3[/tex]

⇒For sum we add:

[tex]=(12t+8)+(t^{2} -10t+3)\\=12t-10t+8+3+t^{2} \\=2t+11+t^{2}[/tex]

⇒The next step is to subtract [tex]9t^{3} -3t+8[/tex] and [tex]t^{2} -8t+4[/tex] from the answer we got above.

[tex]=(2t+11+t^{2} )-(9t^{3} -3t+8)-(t^{2} -8t+4)\\=2t+11+t^{2} -9t^{3} +3t-8-t^{2} +8t-4\\=2t+3t+8t+11-8-4+t^{2} -t^{2} -9t^{3} \\=13t-1-9t^{3} \\[/tex]

⇒The answer  is shown above.

Answer:

26.009

Step-by-step explanation:

Let's break it down

(2*10) + (6*1) + (9*1/1000)

20+6+0.009

26.009

Hundreds- 0

Tens- 2

Ones- 6

Tenths- 0

Hundredths- 0

Thousandths- 9

Answer:

26.009

Step-by-step explanation:

since 2 is being multiplied by ten there are 2 tens

And since 6 is being multiplied by 1 there are 6 ones

and since 9 is being multiplied by 1/1000 there are 9 thousandths

And the rest of the place values are zero and should be written like

26.009

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The distance between the points Q and R is 7.211 units.

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base. It has two focal points.

Given an equation of ellipse x²/8+y²/18 =1, a line 2y = 3x intersect the ellipse at points Q and R,

x²/8+y²/18 =1........ (i)

2y = 3x....... (ii)

Use eq 2 in 1, we get

x²/8+(3x/2)²/18 = 1

On solving,  we get,

x²/4 = 1

x = ±2

And,

(2y/3)²/8+y²/18 = 1

On solving, we get,

y = ±3

Therefore, we got, y1 = 3, y2 = -3, x1 = 2 and x2 = -2

Using the distance formula, D = √(x1-x2)²+(y2-y1)²

QR = √(-2-2)²+(-3-3)² =  7.211

|QR| = 7.211

Hence, The distance between the points Q and R is 7.211 units.

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The area and perimeter of the composite figures are as follows;

Figure 1;

Perimeter = 70 km

Area = 200 km²

Figure 2

Perimeter = 28 cm

Area = 24 cm²

Figure 3

Perimeter = 40 m

Area = 88 m²

Figure 4

Perimeter = 64 m

Area = 96 m²

The area of a composite figure is the sum of the areas of the parts or simple figures that make up the figure.

Figure 1

The perimeter = 10 + 10 + 5 + 20 + 5 + 10 + 10 = 70

The area = 10 × (10 + 5) + 10 × 5 = 200

Figure 2

Figure 3

Figure 4

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Answer:

You can write a statement of proportionality without any additional information:

... weight = k × length . . . . . . . . for some constant k

If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).

Step-by-step explanation:

Answer:

phone's price = 1200

sim's price = 1400

Step-by-step explanation:

Step-by-step explanation:

This is the answer.

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The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

[-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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Answer:

[tex]n=126[/tex]

Step-by-step explanation:

Using the formula for the sum of the angles of an [tex]n[/tex]-sided polygon, the sum of the angles is [tex]180(n-2)[/tex] degrees.

An exterior angle is supplementary to the corresponding interior angle. Using the given angle measures, the sum of the angles is [tex]2(180-50)+127+135+173n=522+173n[/tex] degrees.

Equating these two results,

[tex]180(n-2)=522+173n \\ \\ 180n-360=522+173n \\ \\ 7n-360=362 \\ \\ 7n=882 \\ \\ n=126[/tex]

Answer:

n=126

Step-by-step explanation:

180(n−2)=522+173n

180n−360=522+173n

7n−360=362

7n=882

n=126

Answer:

------------------------------

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

The volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis will be x³/3-3x²/2+c.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

y = x²-3x

The volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis is obtained as,

[tex]=\int\:x^2-3x \ dx \\\\ = \int \:x^2dx-\int \:3xdx \\\\ =\frac{x^3}{3}-\frac{3x^2}{2} \\\\ =\frac{x^3}{3}-\frac{3x^2}{2}+C[/tex]

Thus, the volume of the solid generated by revolving the region bounded by y = x and y = x²-3x about the x-axis will be x³/3-3x²/2+c.

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The system of linear equations shows that the adult tickets was 155 and children ticket was 259

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

To solve this problem, we can set up two equations for this

Let;

x + y = 414 ...eq(i)

47x + 22y = 12983 ...eq(ii)

Solving both equations; the values of x and y are 155 and 259 respectively

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By adding the two given fractions we will see that 1/2 of the students either walked or came by bus

Let's say that there are N students in total. We know that a fraction of 1/8 of these N students walk to school.

And a fraction of 3/8 of the students go by bus to the school.

Then the fraction that either walks or came by bus to school is given by the addition between the two fractions above, then we just need to solve.

f = 3/8 + 1/8

We can see that we have the same denominator in both fractions, so we can directly add the numerators:

f = (3 + 1)/8 = 4/8

Now we can simplify the fraction to get:

f = 1/2

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