Using trig to find a side
Solve for x. Round to the nearest tenth, if necessary.

The simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

The expression is given as:

(x + 7)(3x − 8)

Expand the expression

3x² - 8x + 21x - 56

Evaluate the like terms

3x²  + 13x - 56

Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

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Answer:

Here is your answer

Step-by-step explanation:

Bearing from point A to B, can be calculated as,

beta = atan * 2(X, Y)

where, X and Y are two quantities and can be calculated as:

X=cos theta b^ * s AL

Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate

Answer: the one that passes through the y-intercept of -3

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer :

[tex]\boxed{D) \sqrt{119} \: cm}[/tex]

Solution :

In the above figure, the line that is drawn from the centre of the given circle to the targent PQ is perpendicular to PQ.

And So, OP ⊥ PQ

Using Pythagoras theorem in triangle ΔOPQ we get ,

[tex]\Longrightarrow\: OQ^2 = OP^2 + PQ^2[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: (12)^2 = 5^2+PQ^2[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ^2 = 144-25[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ^2 = 119[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\: PQ = \sqrt{119} [/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

So, option D) √119 cm is the length of PQ.

Answer:

The solution set is {-6, -2}.

Step-by-step explanation:

x^2 + 8x + 15 = 3

x^2 + 8x = -12

Completing the square:

(x + 4)^2 - 16 = -12

(x + 4)^2 = 4

Taking square roots of both sides:

x + 4 =  +/- 2

x = 2 - 4 = -2  or x = -2-4 = -6.

Answer:

Volume = 144

V = length(9) × width(6) × height(8) ÷ 3 = 144

The maximum percentage of individuals who own a bike is 21.5%.

Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.

The maximum percentage = margin of error + true value

(1/5) x 100 + 1.5% = 21.5%

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Answer:

See image

Step-by-step explanation:

Plato

Answer:

[tex]x-8y=-24[/tex]

Step-by-step explanation:

Standard form of a linear equation:  [tex]Ax+By=C[/tex]

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

[tex]y=\dfrac{1}{8}x+3[/tex]

Multiply both sides by 8:

[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]

[tex]\implies 8y=x+24[/tex]

Subtract 8y from both sides:

[tex]\implies 8y-8y=x+24-8y[/tex]

[tex]\implies 0=x+24-8y[/tex]

Subtract 24 from both sides:

[tex]\implies 0-24=x+24-8y-24[/tex]

[tex]\implies -24=x-8y[/tex]

In standard form:

[tex]\implies x-8y=-24[/tex]

[tex]8.92 ~ \text{cm}^2\\\\=8.92 \times \left( 1 ~ \text{cm} \right)^2\\\\=8.92 \times \left(10^{-2}~ \text{m} \right)^2~~~~~~;\left[1~ \text{cm} = \dfrac{1}{100}~ \text m} = 10^{-2}~ \text{ m} \right]\\\\=8.92 \times 10^{-4}~ \text{m}^2\\\\=0.000892~ \text{m}^2[/tex]

Length × Width = Area

Answer:

The length x the widith. If there's more then 4 sides I think you just multiply them all together

Step-by-step explanation:

Answer:

The minimum is 87

Step-by-step explanation:

The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed

Answer:

87

Step-by-step explanation:

Put them in order

87, 89, 94, 98, 99, 103, 109, 112, 115

Minimum = The least

The least = 87

Step-by-step explanation:

first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer

The  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

The formula for calculating the distance between two points is expressed as:

D = √(y2-y1)²+(x2-x1)²

Given the coordinate points X(−4,3) and Y(2,−7)

Substitute

XY = √(-7-3)²+(2+4)²

XY = √(-10)²+(6)²

XY = √100+36
XY = √136

XY = 11.7 units

Hence the  distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units

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Answer:

  $8,287,429

Step-by-step explanation:

The total profit will be the sum of a geometric series. The formula for that sum is ...

  Sn = a1 × (r^n -1)/(r -1)

where a1 is the first term, r is the common ratio, and n is the number of terms.

__

Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...

  S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429

In the first 14 years of operation, the total profit would be $8,287,429.

Answer:

Circle

Step-by-step explanation:

Answer: 10 Howdy cupcakes

Step-by-step explanation:

   A percent divided by 100 becomes a decimal.

[tex]20\%\; / \;100 = 0.2[/tex]

   Now, we will multiply the total by 0.2 to find 20%.

[tex]50 * 0.2 = 10[/tex]

        You will be ordering 10 cupcakes.

The means of simplifiying is by factoring. The simplified form of the expression is 2x² + 3x - 5

The means of simplifiying is by factoring

Given the expression

(2x - 9) (x+ 6)

Expand

(2x - 9) (x+ 6)

2x² +12x -9x - 54
2x² + 3x - 54

Hence the simplified form of the expression is 2x² + 3x - 54

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Answer: It's

c

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

The sensors made by Breaker's have a 4% defect rate

Answer:

  f(3) = 84

Step-by-step explanation:

To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.

__

Sometimes it works well to simplify the expression a bit.

  f(x) = 16x^2 -20x = 4x(4x -5)

  f(3) = 4(3)(4(3) -5)) = (12)(7)

  f(3) = 84

Answer

Hope it helps

Answer:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.

Answer:

Step-by-step explanation:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:

78,300 - 6,500 = 71,800 (this is your new taxable value)

71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.

[tex]~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5[/tex]

The value of p -q is 6.5.

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.

[tex]6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\[/tex]

(2x + 1) (x-6) = 0

Thus, x = -1/2 , 6

Since p>q

p = 6 , q = -1/2

So, p -q = 6 - (-1/2)

= 6 + 1/2

= 13/2

= 6.5

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Answer:

= -6

Step-by-step explanation:

-12/2

= -6

The THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p

To do this, we simply analyze each option

The given parameters are:

p = true

q = false

(a) p → q

This means that:

If p then q

So, we have:

If true then false

The above statement would return false.

(b) ¬ p ∧ ¬ q

This means that:

If not p and not q

So, we have:

If not true and not false

i.e.

If false and true

The above statement would return false.

(c) p → ¬ q

This means that:

If p then not q

So, we have:

If true then not false

i.e.

If true then true

The above statement would return true.

(d) q ∨ ¬ p

This means that:

If q and not p

So, we have:

If false and not true

i.e.

If false and false

The above statement would return false.

Hence, the THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p

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Answer:

The common difference is the difference between any two consecutive terms in an arithmetic sequence.

The formula which is used to find the common difference in AP is

d = an - an-1

Here the common difference is

d = a2 - a1 = 8 - 2 = 6

d = a3 - a2 = 14 - 8 = 6

d = a4 - a3 = 20 - 14 = 6

d = a5 - a4 = 26 - 20 = 6

2, 8, 14, 20, 26 … = 2, (2 + 6), (8 + 6), (14 + 6), (20+ 6) …

Therefore, the common difference is 6.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes they are i can see this because, 4/8 is the same as 1/2.

I know this because if you reduce 4/8, you will get 1/2.

Answer

8.08

Use the distance formula:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]

[tex]\rightarrow \sf d =3\sqrt{29}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]

[tex]\sf \cdot 8.0777[/tex]

[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

Answer:

12

Step-by-step explanation:

7 times 12 is 84. 4 times 21 is 84. The digits have a sum of 3.

Answer:

11

Step-by-step explanation:

11x=121

11x/11 = 121/11

x = 11

So, 11*11 = 121

The above is not a function because -2 is mapped to two elements 2 and -4.

A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.

The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).

In other words, one element must be mapped to another element.

Each element cannot be mapped to two elements.

Therefore, the above is not a function.

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Answer: HCF=130

Step-by-step explanation: