need help with these. I get either -16 or 16, but it can be both. for the first one

Answer:

Step-by-step explanation:

We first turn 3x+4y=12 into standard form:

4y=-3x+12

y=-3/4x+3

By knowing the 2nd line is parallel to the first, the slopes are the same:

y=-3/4x+b

Plugging in (5,4) into the equation:

4=-15/4+b

b=1/4

Final equation=y=-3/4+1/4.

Answer: b is a 50% chance a is 1 is 18% chance

Step-by-step explanation:I did the math

Answer:

m = 3/-3 = -1

Answer:

Step-by-step explanation:

Hello

   If a line's equation has the form \(\boldsymbol{\rm{y-y1=m(x-x1)}}\), then it's considered to be in point-slope form.

In that formula,

Now you know why this equation is called point-slope form!

Now that we're familiar with the equation, let's plug in the information that's given to us...

\(\boldsymbol{\rm{y-2=\displaystyle\frac{3}{2}(x-(-1)}}\) | simplify

\(\boldsymbol{\rm{y-2=\displaystyle\frac{3}{2}(x+1)}}\)

\(\pmb{\tt{done~!!}}\)

\(\orange\hspace{300pt}\above3\)

Answer:  A.   $1,056,000 <= x <= $1,344,00

"We can always be better"

Answer:

option A

Step-by-step explanation:

Permutation is An arrangement of objects in an ORDER

but combination is the opposite.

Answer:

• <DBC is bisected by ray BD.

Step-by-step explanation:

The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle

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Answer:

C

Step-by-step explanation:

Multiples of 4: 4,8,16,20,24,28,32,36,40,44,48,52,56,60

Multiples of 15: 15,30,45,60

Th smallest number that they both can multiply to is 60

Given the table in I which represents function I.

x y

0 5

1 10

2 15

3 20

4 25

• Graph II shows Item II which represents the second function.

Let's determine the increasing and decreasing function.

For Item I, we can see that as the values of x increase, the values of y also increase. Since one variable increases as the other increases, the function in item I is increasing.

For the graph which shows item II, as the values of x increase, the values of y decrease, Since one variable decreases as the other variable decreases, the function in item I is decreasing.

Therefore, the function in item I is increasing, and the function in item II is decreasing.

ANSWER:

A. The function in item I is increasing, and the function in item II is decreasing.

The table is completed as follows using the double-declining-balance method of depreciation:

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense     Depreciation  Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

The double-declining-balance approach is what?

The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.

In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.

At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.

The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.

Auto  = $30,000

Estimated useful life = 5 years

Residual = $800

Depreciable amount = $30,000 - $800 = 29,200

Straight-line depreciation rate = 100/5 = 20%

Double-declining depreciation rate =20% x 2 = 40%

Depreciation Expense:

1st year = 30,000 x 40/100 = 12,000

2nd year = 18,000 x 40/100 = 7,200

3rd year = 10,800 x 40/100 = 4,320

4th year = 6,480 x 40/100 = 2,592

5th year = 3,888 x 40/100 = 1,555

Year Cost   Accumulated  Book Value  Depreciation Accumulated Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

4   $30,000  $23,520          $6,480           $2,592           $26,112   $3,888

5  $30,000  $26,112            $3,888          $1555           $27,667     $2,332

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The value of the derivative at the maximum or minimum for a continuous function must be zero.

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

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Answer:

14.2 feet

Step-by-step explanation:

Use the Pythagorean Theorem to solve both parts.

Part 1.

35 is the hypotenuse and 21 is a leg.

\(a^{2} +b^{2} =c^{2} \\a^{2} +21^{2} =35^2\\a^2 + 441 = 1225\\a^2 +441-441=1225-441\\a^2 =784\\\sqrt{a^2} =\sqrt{784} \\a = 28 feet\)

28 feet represents how far the base of the ladder is from the house.

Part 2.

Now move the ladder 4 feet farther from the house. 28 + 4 = 32 ft.

Now you have a leg that is 32 feet and the hypotenuse is still 35 feet. Solve for the other leg.

\(a^{2} +b^{2} =c^{2} \\a^{2} +32^{2} =35^2\\a^2 + 1024 = 1225\\a^2 +1024-1024=1225-1024\\a^2 =201\\\sqrt{a^2} =\sqrt{201} \\a = 14.177 feet\)

Round to the nearest tenth and you have 14.2 feet

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

\(b^2*h=49\)

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

\(A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}\)

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\(\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft\)

The value of h is then:

\(h=\frac{49}{4.61^2}\\h=2.31\ ft\)

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

Answer:

igure it out based on the explanation

Step-by-step explanation:

do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!

Tester,this is the solution to the problem:

Vessel filled initially with:

• 3/8 of water

• 5/8 of syrup

Vessel replaced with:

• 4/7 of water

• 3/7 of syrup

Vessel finally will have:

• 1/2 of water

• 1/2 of syrup

Therefore, we need to:

Let x to represent the fraction of the mixture that must be drawn off.

4/7 - 3x/8 = 1/2

Lowest Common Denominator: 56, therefore:

32 - 21x = 28

-21x = 28 - 32

-21x = -4

Dividing by -21 at both sides:

-21x/-21 = -4/-21

x = 4/21

We need to drawn off 4/21 of the first mixture.

Answer:

Circumference of turntable is 125.6 cm

Step-by-step explanation:

Diameter of turntable = 40 cm

We need to find circumference of turntable.

The formula used to calculate circumference is: \(Circumference=2\pi r\)

where r is radius

We know that: \(radius=\frac{diameter}{2}\)

Finding radius first:

\(radius=\frac{diameter}{2}\\radius=\frac{40}{2}\\radius = 20 \ cm\)

So, radius r=20 cm

Now finding circumference

\(Circumference=2\pi r\\Circumference=2\times3.14\times20\\Circumference=125.6 \ cm\)

So, circumference of turntable is 125.6 cm

the population of the country in 2003 is, 368.3 million.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The population's description is provided by the exponential model a = 368.3e0.002t.

"a" denotes a nation's population in millions,

following 2003 by t years.

We must ascertain the country's population in 2003.

At 2003, t = 0.

In the exponential model above, enter t = 0.

a = 368.3e^0.002(0) (0)

a = 368.3e^0

a = 368.3

Hence, the population of the country in 2003 is, 368.3 million.

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The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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By using the rules:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

We have proven the identity. Below you can follow the demonstration.

Here you need to remember two things:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

Here we have the expression:

\(\frac{1 - cos(-x)}{sec(-x) - 1}\)

By using the first rule, we can rewrite:

\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)

By using the second rule, we can rewrite:

\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)

Now if we multiply and divide by cos(x), we get:

\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)

In this way, the identity was proven.

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The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle. The chord of a circle which passes through the centre of the circle is called the diameter of the circle.

Answer:

-8d-5

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

-6d-2d=-8d

2-7=-5

Answer:

-8d-5

Step-by-step explanation:

Answer:

24×20×30=14,400 minutes

Answer:

-0.28

Step-by-step explanation:

(1/5) : (-5/7)=(1*5)/(5*(-5))=-(7/25)=-0.28

Answer:

\(-7/25\)

Step-by-step explanation:

\(1/5 \div -5/7\)

Do the reciprocal of the second fraction.

\(1/5 \times 7/-5\)

Multiply the first fraction by the reciprocal of the second fraction.

\(7/-25=-0.28\)

The answer in decimal form is -0.28.

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

\(\Large \boxed{\sf \ \ 7 \ \ }\)

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

\(x^3-5x^2-12x+14\)

The rational root theorem states that each rational solution

   \(x=\dfrac{p}{q}\)    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

the answer is C.) 7

Answer:

See below for all information

Step-by-step explanation:

Given Information

Null and Alternate Hypotheses

Determine z-statistic

\(\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606\)

Determine p-value from z-statistic

\(2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751\)

Draw conclusion of p-value based on given significance level

Since \(p > 0.05\), we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.