Distributive property on 48x6=

Answer:

Width = 108 cm

Step-by-step explanation:

Perimeter =  2 x (length + width)

297 = 2 x (length + width)

148.5 = Length + width

Ratio of Length to Width = 3 : 8

Sum of ratio = 11

\(Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm\)

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

Answer:

3

Step-by-step explanation:

the equation is written in slope intercept for x is the number on the x axis and the + is the slope

The given two triangles are similar to each other by the postulate called SAS.

What is triangle ?

Triangle can be defined as in which it consists of three sides, three angles and sum of the three angles are 180 degrees always.

Given,

The triangles are RST and UVT

So

From the given figure we can say that,

RT = TU

RS = VU

As two sides are already equal and vertically opposite angles are always equal .

so we can say that By postulates SAS we can say that they are similar to each other.

Hence, The given two triangles are similar to each other by the postulate called SAS.

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Answer:

the answer is what I think 46

The solution of the inequality - 1/2x ≥ 4 is shown in Option 2.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ - 1/2x ≥  4

Now, We can simplify as;

⇒ - 1/2x ≥  4

⇒ 1/2x ≤ - 4

⇒ x ≤ - 8

When we plot this inequality on a number line,

An arrow starting with a solid point from x = -8 and arrow directing towards negative numbers will represent the given inequality.

Hence, Option (2) will be the answer.

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The equation that represents the line passing through P and parallel to line m would be; B  y+2 = 2(x-3)

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given the line passing through P and parallel to line m.

We can conclude that the point lies on the line is (3, -2)

The slope of the given line is m = 2.

Thus the equation will be;

y-y₁ = m(x-x₁)

y+2 = 2(x-3)

The equation that represents the line passing through P and parallel to line m would be; B -> y+2 = 2(x-3)

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A continuous random variable is one that has a range of possible values. In other words, if a random variable adopts a value that fits within a specific range, it is said to be continuous.

Measurements like height, weight, and time are all represented by continuous random variables. A continuous random variable is represented as the area under a density curve. The concept of a continuous random variable, as well as its mean, variance, types, and related examples

P(X < 0.35) = 0.35

P(X = 0.35) = 0 since X is a continuous random variable and the probability of a specific value is 0.

P(0.35 < X < 1.25) = 1.25 - 0.35 = 0.9

P(0.10 < X < 0.20 or 0.6 < X < 0.9) = (0.20 - 0.10) + (0.9 - 0.6) = 0.3

P(X < 0.5 or X > 0.6) = (0.5 - 0) + (1 - 0.6) = 0.9

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Answer:

D.

Step-by-step explanation:

The function is an absolute value. That just means that all the y-values (in this case) will be positive, but there is nothing that limits the x-values. So, D. {x | x = all real numbers}.

Hope this helps!

Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess

Answer:

a

Step-by-step explanation:

If you make your enemy's doctor away he will die of sickness

Answer:

4000

Step-by-step explanation:

Find the radius;

20/2=10

Plug everything into the equation;

4/3 (3) (10)^3= 4000

Hope this helps:) Have a good day!

Answer:

4000

Step-by-step explanation:

hope this helps

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:35 for x and 30 for y

i think srry if im wrong

Step-by-step explanation:

Answer:

\(A = 89.1327\)

Step-by-step explanation:

1. Approach

To solve this problem, one must divide the figure up into two smaller figures. Calculate the areas of these smaller figures, and then finally, add up the result. The given figure can be divided into a square and a semi-circle. One can solve for the area of the square using the formula (\(length*width=area\)). One can solve for the area of the semicircle by solving for the area of the circle, and then dividing it by (2).

2. Solve for the area of the square

This is the easier part, all one has to do is multiply the length of the square by the width;

\(length * width = area\\\\8 * 8 = area\\\\64 = area\)

3. Solve for the area of the semi-circle

The formula for the area of a circle is;

\((pi)r^2=A\)

Where coefficient (\(pi\)) represent the values (\(3.1415...\)), parameter (\(r\)) represent the radius of the circle, and (\(A\)) represents the area.

In the problem, one is given the diameter of the semicircle. The diameter is the largest cord (a line that is drawn in a circle) in the circle, this cord will pass through the center of the circle. The radius is the distance from the center of the circle to the outer edge of the circle. The radius, by its definition will always be half of the diameter. It is given that the diameter of the given circle is (\(8\)), therefore the radius is (\(4\)), because (\(8\)÷\(2=4\)).

Substitute in the values and solve;

\((pi)(4)^2 = A\\\\3.1415*(16)=A\\\\50.2655=A\)

Don't forget to divide this in half, because the given figure is a semi-circle, not a circle;

\(25.1327\)

4. Putting it together

Now add the value for the area of the semi-circle, with the value for the area of the square;

\(square + semi-circle = Total\ area\\\\64 + 25.1327 = Total\ area\\\\89.1327 = Total\ area\)

The revenue corresponding to break even condition for selling x units is $4.28.

An evaluation of the model's accuracy in estimating the link between X and y is done using a cost function. In most cases, this is represented as a difference or distance between the projected value and the actual value. The price element (you may also see this referred to as loss or error.)

To break even (R = C) we have:

7.8 √x + 22,000 = 13.82x

Substitute the value of x = u² thus:

7.8u +22000 = 13.8u²

13.8u² - 7.8u - 22000 = 0

The quadratic formula is given as:

u = -b ± √b² - 4ac / 2a

u = -(-7.8) ± √(-7.8)²- (4)(13.82)(22000) / 2(13.82)

u = 7.8 ± 7.8 / 27.64

u = 7.8 + 7.8 / 27.64

u = 0.56

Back substituting the value of u:

x = u²

x = (0.56)²

x = 0.31

Substituting the value of x is R:

R = 13.82 (0.31)

R = 4.28

Hence, the revenue corresponding to break even condition for selling x units is $4.28.

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Answer:

8

Step-by-step explanation:

65.29/8.23≈7.933

7.933 rounds to 8

1. The type of function which is best represented by the data in the table is; Quadratic.

2. The statement which is true is; The second differences are constant.

3. The type of function which is best represented by the given table is; Linear equation.

It is evident from the task content that the functions which correctly represents each data table is required to be determined.

Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.

On this note, the first table correctly represents a quadratic function while the second represents a linear function.

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Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt  where

A is the amount in the account

P is the principle

r is the interest rate

n is the number of times the interest is compounded per year

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

Answer:I think being honest with them just tell them how you really feel not because just they ask and you just say I am fine how are you just tell how you really feel about that day. Be honest ...

Step-by-step explanation:

How I've been today? Quite magnificent. Thank thou for your generosity.

Answer:

x-variable

5x-term

5-coefficient

12-constant

Answer:

Dababy A baby. (=

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

Answer: is A

Step-by-step explanation:

We have several points in a graph and want to know what of the options is the best fit.

Due the options has very diferent slopes for the line we can solve the problem by inspection, so:

• The slope of the line must be negative, because the points data show a negative slope. ,So, the options A and B are discarded.

• The points show a big slope. For Option C, when x = 4, y = -7 that is near from data, for Option D, when x =4, y = -1 which is very far from data.

So the correct answer is the option C.

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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The required unit multipliers that should be used to change feet to inches is: 12 in/1 ft

Unit multipliers are used to convert one unit of measurement to another by the multiplication of the measure we're converting by a unit multiplier that cancels out the other units, retaining only the preferred choice or desired answer.

From the given information:

However, it is important to note that when using unit multipliers, the name of the measure in the numerator should be the same as the name of the unit in the desired answer.

The term used to multiply by when converting measures should always be less than the given measure.

The cord of wood can be determined by multiplying the length, depth and height of the wood together, then dividing the answer but 128.

Thus, the cord of the wood = (4 ft × 4 ft × 16 ft)/128

The cord of the wood = 2 cords.

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The dimensions of the rectangle is 18 ft by 3.5 ft.

What is the dimension of a 2D objects?

Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.

Assume that the width of the rectangle is w.

Given that, the length of a rectangle is 11 ft more than double the width.

The length of the rectangle is (2w + 11) ft.

The area of the rectangle is (2w + 11) w = 2w² + 11w.

Also given the area of the rectangle is 63 ft².

Therefore,

2w² + 11w = 63

2w² + 11w - 63 = 0

Now applying quadric formula:

w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)

w = -9, 3.5

Since the length of the rectangle can't be negative, thus w ≠ -9.

w = 3.5

The length of the rectangle is (2 × 3.5 + 11) = 18 ft.

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