Can someone answer please? I really need help...

Answer:

3x-15=6

Step-by-step explanation:

A Clayton family can therefore employ 10,000 different codes to access their house.

In actuality, the habit of numbering to ten on the fingers is what gave rise to the custom of calling numbers by their digits. The English term "number" is derived from the Latin word digits, which originally meant "finger or toe." If the code is made up of four digits, and each digit can be any number from 0 to 9, then there are 10 possible choices for each of the four digits.

Hence, there are a total of the following codes:

10 x 10 x 10 x 10 = 10,000

Hence, the Clayton family has 10,000 different possible entry codes.

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9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

  bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

  2x = 3(6 -x)

  2x = 18 -3x . . . . . eliminate parentheses

  5x = 18 . . . . . . . . add 3x

  x = 3.6 . . . . . . . . . divide by 5

_____

Alternate solution

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

Answer: B

Step-by-step explanation:

The highest interest will be for 36-month with a 5.00% annual simple interest rate.

Option 3 is correct.

Interest is the cost associated with using credit or cash. It can be stated as a rate of payment or in terms of money. The money derived through contractual commitments made by others to make future payments is also referred to as interest. Lender and borrower are typically the two parties involved in such financial transactions. For instance, when someone purchases a government bond, they are actually lending the government money.

As per the given data:

Total loan amount = $10,000

The duration and interest rates of the loans are given in respective options.

For Simple Interest:

Interest = (P × R × T) / 100

Option 1

P = 10,000, R = 5.25% per annum

T = 30 month = (30/12) years = 2.5 years

Interest = (10000 × 5.25 × 2.5) / 100 = $1312.5

Option 2

P = 10,000, R = 6.00% per annum

T = 18 month = (18/12) years = 1.5 years

Interest = (10000 × 6.00 × 1.5) / 100 = $900

Option 3

P = 10,000, R = 5.00% per annum

T = 36 month = (36/12) years = 3 years

Interest = (10000 × 5.00 × 3) / 100 = $1500

Option 4

P = 10,000, R = 5.75% per annum

T = 24 month = (24/12) years = 2 years

Interest = (10000 × 5.75 × 2) / 100 = $1150

Hence, the highest interest will be for 36-month with a 5.00% annual simple interest rate.

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Answer:

y = 1/2x + 2.5

Step-by-step explanation:

First we want to plug it into the \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). This gets us 6-2/7-(-1) which solves to 4/8 which simplifies to 1/2. This gives us the slope. Now, when using slope intercept form y = mx + b, we can plug our newly found slope in for m and get y = 1/2x + b. To find b plug in any point on the line into the equation, I chose (7,6) because we are given that, and both numbers are positive. Now plug those in for x and y. 6 = 1/2(7). Solve, and get 2.5. are final equation is

y = 1/2x + 2.5

10m

\(looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m\)

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

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The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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Answer:

\(str + stu = 180 \\ 180 - 20 = 4x \\ 160 = 4x \\ x = 40\)

The maximum revenue, to the nearest whole dollar, is $180,625 (option c).

To find the maximum revenue, we need to determine the vertex of the quadratic function represented by the revenue equation.

The revenue equation is given as:

R(p) = -4p² + 1700p

The vertex of a quadratic function in the form of f(x) = ax² + bx + c can be found using the formula:

x = -b / (2a)

For the given revenue equation, a = -4 and b = 1700. Plugging these values into the formula, we have:

p = -1700 / (2 × -4)

p = -1700 / -8

p = 212.5

The maximum revenue occurs at p = 212.5.

To find the maximum revenue, we substitute this value back into the revenue equation:

R(p) = -4(212.5)² + 1700(212.5)

R(p) = -4(45256.25) + 361250

R(p) = -181025 + 361250

R(p) = 180625

Therefore, the maximum revenue, to the nearest whole dollar, is $180,625 (option c).

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The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

\(y = x + 2, 0 \leq x \leq 3\)

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

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Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

\(\dfrac{dV}{dx}= (3x^2 - 36x+ 72)\)

\(\implies x^2 - 12x + 24 = 0\)

\(=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

\(=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}\)

\(=\dfrac{12 \pm \sqrt{144 - 96}}{2}\)

\(=\dfrac{12 \pm \sqrt{48}}{2}\)

where;

\(x \ne \dfrac{12 + \sqrt{48}}{2}\)

∴ \(x= \dfrac{12 - \sqrt{48}}{2}\)

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

           Volume = Length × Width × Height

Given in the question,

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

\(x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}\)

\(x=(6\pm2\sqrt{3})\)

\(x=9.46,2.54\)

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

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Approximately 456.3 feet of fence to surround the entire circular yard.

Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.

Since, The circumference of a circle is,

⇒ C = πd,

where, C is circumference, d is diameter,

Here, the diameter of the circular yard is 145 feet,

So the radius is half of that,

r = 145/2 = 72.5 feet.

So, Using the formula, we can calculate the circumference as:

C = πd

C = 3.14 x 145

C = 456.3 feet

Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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The linear equations are given as follows:

A linear function is modeled by:

y = mx + b

In which:

For diagonal AC, the line contains points (-3,3) and (3,-3), hence the line is:

y = -x.

In standard form:

\(x + y = 0, -3 \leq x \leq 3\).

For diagonal BD, the line contains points (3,3) and (-3,-3), hence the line is:

y = x.

In standard form:

\(x - y = 0, -3 \leq x \leq 3\).

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Answer:

Direct contr

Step-by-step explanation:

I took the test and the guy who said replication was wrong. He cost me a point

Answer:

direct control

Step-by-step explanation:

i just took the test UwU

Answer:

1826.21099

Step-by-step explanation:

Answer: 1825 days.

Step-by-step explanation: 365x5=1825

1)

Surface area of rectangular prism:

SA = 2( hw + lw + lh )

h= height of prism .

w = width of prism .

l = length of prism .

Substitute the values,

h= 4m

w=1.2 m

l= 13.4 m

SA = 2(4*1.2 + 13.4*1.2 + 13.4*4)

SA = 148.96 m²

2)

Surface area of triangular prism:

SA = (S1 +S2 + S3)L + bh

h= height of prism .

b = base of prism .

S1 , S2 , S3 = sides of triangle .

Substitute the values,

SA = (3+ 4 + 0.5)4 + 0.5*3

SA = 31.5 in²

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

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

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

1. -6.5x+11

2. 6b-5

3. 3p-5.1

Step-by-step explanation:

\(1. \\(x-1)+(12-7.5x)=\\x-1+12-7.5x=\\x-7.5x-1+12=\\-6.5x-1+12=\\-6.5x+11\\\\2.\\b-(4-2b)+(3b-1)=\\b-4+2b+3b-1=\\b+2b+3b-4-1=\\3b+3b-4-1=\\6b-4-1=\\6b-5\\\\3.\\(2p+1.9)-(7-p)=\\2p+1.9-7+p=\\2p+p+1.9-7=\\3p+1.9-7=\\3p-5.1\)

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

\(P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25\)

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Answer:

The parabola \(y=x^{2}\) at the points \((-2+\sqrt{17},21-4\sqrt{17})\) and \((-2-\sqrt{17},21+4\sqrt{17})\) when \(t=t_{1}=-4+\sqrt{17}\) and \(t=t_{2}=-4-\sqrt{17}\)

Step-by-step explanation:

We have the following line written in parametric form :

\(L(t)=(2+t,5-4t)\) with \(t\) ∈ IR.

In order to find the intersection between \(L(t)\) and the parabola \(y=x^{2}\) we know that ''\(2+t\)'' is the x-coordinate of the line and ''\(5-4t\)'' is the y-coordinate of the line. Now, to solve this problem we need to find the values of ''\(t\)'' in which the intersection occurs. We can do this by replacing the components    ''\(x\)'' and ''\(y\)'' of \(L(t)\) in the equation of the parabola ⇒

\(L(t)=(2+t,5-4t)\) = ( x component , y component ) = ( x , y ) ⇒

In the parabola : \(y=x^{2}\) ⇒ \(5-4t=(2+t)^{2}\)

Solving the equation we find that :

\(t^{2}+8t-1=0\)

Using the quadratic formula with

\(a=1\) , \(b=8\) and \(c=-1\)

We find that the two possible values for t :

\(t_{1}=\frac{-b+\sqrt{b^{2}-4ac}}{2a}\)     and  \(t_{2}=\frac{-b-\sqrt{b^{2}-4ac}}{2a}\)

are \(t_{1}=-4+\sqrt{17}\) and \(t_{2}=-4-\sqrt{17}\)

This values \(t_{1}\) and \(t_{2}\) are the values of the parameter t where the line intersects the parabola so we can find the points by replacing the values of the parameter in the equation \(L(t)\) :

\(L(t_{1})=(-2+\sqrt{17},21-4\sqrt{17})\) and

\(L(t_{2})=(-2-\sqrt{17},21+4\sqrt{17})\)

The final answer is

The parabola \(y=x^{2}\) at the points \((-2+\sqrt{17},21-4\sqrt{17})\) and \((-2-\sqrt{17},21+4\sqrt{17})\) when \(t=t_{1}=-4+\sqrt{17}\) and \(t=t_{2}=-4-\sqrt{17}\)

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

Answer:

The first term is -6 and common difference is 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

T3 = a+2d

T4 = a + 3d

If the third term of an arithmetic sequence less than the fourth term by three

T3 = T4 - 3

a+2d = a+3d - 3

2d - 3d = -3

-d  = -3

d = 3

Similarly;

T7 = a+6d

T5 = a+4d

If the seventh term  is two times the fifth term, the;

T7 = 2T5

a+6d = 2(a+4d)

a+6d = 2a+8d

Since d = 3

a + 6(3) = 2a + 8(3)

a+18 = 2a + 24

a-2a = 24 - 18

-a = 6

a = -6

Hence the first term is -6 and common difference is 3

Step-by-step explanation:

\(10.5 \div 5 = 2.1 \\\)

\(52.3 \times 2 = 104.6\)

\(82.5 \div 5 = 16.5\)

\(45 \times 6.5 = 292.5\)

Answer:

See image below.

Step-by-step explanation:

Answer:

40%

Step-by-step explanation: