Given the two rectangles below. Find the area of the shaded region.10, 2, 4, 2

Answer:

  3(n +5)

Step-by-step explanation:

You want the math expression that means "three times the sum of a number and five."

A sum is represented using a plus sign. "A number" is represented using a variable. "x" is a variable commonly used for an unknown value. "n" can also be used to represent "a number."

The sum of a number and 5 will be ...

  n + 5

We want an expression that is 3 times that sum, so we multiply it by 3:

  3(n +5) . . . . . . 3 times the sum of a number and 5

__

Additional comment

Note that the expression above is not the same as 3n+5, which would represent "the sum of 3 times a number and 5".

The quadratic equation with roots 4 and -2 and leading coefficient 4 is;

⇒ 4x² - 8x - 32

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree of x.

Given that;

Roots of a quadratic equation = 4 and -2

Leading coefficient = 4

Now, The quadratic equation whose roots 4 and -2 with leading coefficient is calculated as;

⇒ 4 ( x - 4) (x + 2)

Solve as;

= 4 (x - 4) (x + 2)

= 4 (x² + 2x - 4x - 8)

= 4 (x² - 2x - 8)

= 4x² - 8x - 32

Thus, The quadratic equation with roots 4 and -2 and leading coefficient 4 is;

⇒ 4x² - 8x - 32

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When solving an inequality, treat it like an equal sign while solving.

y - 4 ≤ -13
y - 4 + 4 ≤ -13 + 4
y ≤ -9

This is a problem with a non-linear equation. The data is the temperature of water and the time. But we have to fit a line anyway.

We can the Least Squares Method, the best line fit is:

Now, we apply the formula above:

By cross multiplying the given equation, we have

By multiplying the right hand side, we get

Then, by subtracting 6x to both sides, we have

or equivalently,

Since the left hand side is a conjugate binomial, it can be expressed as

Then, we have the equation

Therefore, the values of x that make the equation true are x= 4 and x= -4

The total amount that must be repaid will be $26,015.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

For $21,500, Norman buys a brand-new vehicle. The loan amount (plus simple interest) must be repaid in full within five years, and the simple interest rate is 4.2%.

The total amount that must be repaid will be given as,

A = $21,500 + ($21,500 x 4.2 x 5)/100

A = $21,500 + $4,515

A = $26,015

The total amount that must be repaid will be $26,015.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x² + y² = 16[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The distance between the centre and the point through which the circle is passing is equal to the radius of the circle.

so, let's use distance formula here :

[tex]\qquad \tt \rightarrow \: \sqrt{(y2 - y1) {}^{2} + (x2 - x1) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{(0 - 0) {}^{2} + (4 - 0) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{0 + (4) {}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: \sqrt{ {4}^{2} } [/tex]

[tex]\qquad \tt \rightarrow \: 4 \: \: units[/tex]

Now, let's write the equation of circle in standard form :

[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {4}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 16 [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

To fence in a portion of Amitie Park for an inclusive play space for children total fencing required of the section with diameter 90 feet is 282.6 feet.

As given in the question,

To fence in a portion of Amitie Park for an inclusive play space for children

Diameter of the section = 90 feet

Let r be the radius

r = diameter/2

⇒ r = 90 / 2

⇒r = 45 feet

Total fencing required to fence a play space

= 2πr

= 2 × 3.14 × 45

= 282.6 feet

Therefore, to fence in a portion of Amitie Park for an inclusive play space for children total fencing required of the section with diameter 90 feet is 282.6 feet.

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The location of the image of point S is the midpoint of the line segment RS. A representation of the geometric system and the rigid transformation is shown in the image attached below.

Herein we know the center of dilation and the location of point S, which must be dilated by a rigid transformation, that is, a transformation applied on the point such that its Euclidean distance is conserved. The operation is defined by the following equation:

RS' = k · RS

S'(x) - R(x) = k · S(x) - k · R(x)

Where k is the scale factor.

If we know that R(x) = 0, S(x) = 6 and k = 1 / 2, then the location of the point S' is:

S'(x) - 0 = (1 / 2) · 6 - 0

S'(x) = 3

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Answer:

Step-by-step explanation:

Let David will need m months to save to able to afford his birthday party.

Then 43m>=250 that is m>=5.814 .

But since months are whole numbers

So We take m>=6.

He will need at least 6 months to save to able to afford his birthday party.

The answer is 6 months .

Part a: Cost of downloading album B = 13.3 euros

Part b: Cost of downloading album B = 12.6 euros

Number of tracks in album A = 11 tracks

The total cost of downloading album A = 10.45 euro

Cost of each track on album A = Total cost of album/Number of tracks in the album

= 10.45/11

= 0.95 euro

Part a:

Number of tracks in album B = 14 tracks

Cost of album B = Number of tracks in album B * Cost of each track

= 0.95*14

= 13.3 euros

Part b:

The cost of 5 tracks on album B is 5p less therefore, the cost of 5 tracks will be 0.90*5 = 3.60 euros

The cost of 9 tracks on album B is 5p more therefore, the cost of 9 tracks will be = 1*9 = 9 euros

The total cost of downloading album B = 9+3.6 = 12.6 euros

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The total number of dots tells us the total number of observations of the values. the dot plot of the information are attached below.

A Dot Plot is a graphical display of quantitative data consisting of dots plotted on a simple scale.  Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line.

If a value occurs more than once, then the dots are placed one above the other thus, that the height of the column of dots represents the frequency for that value.

Given data set:

{0, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12}

First we need to Label the increments on the given line to include the range of data.

Then Label them order -2 to 16 increasing in 1 unit.

Now Label the dot plot with a suitable describing the dot plot.

Then Count the number of data points for each discrete category.

The dot plot of the information are attached below.

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EXPLANATION

Let's see the facts:

Length = 4*longer leg

Shorter leg of the base= 1/2 longer leg

We know that Volume = 5832 = 1/2* length* longer leg* shorter leg

Let's call x to the longer leg, the variables are:

length= 4*longer leg= 4x --> x is the longer leg

Shorter leg= 1/2longer leg= 1/2x --> x is the longer leg

Substituting terms, the equation would be:

Multiplying like terms:

Simplifying:

Switching sides:

Isolating x:

Solving the cubic root:

So, x is the value of the longer leg.

Now, we need to find the length, we know that length=4*longer leg

So, the length of the carton is 4*18= 72

The answer is 72

Answer:

Outline 4 factors to the conside.

A. The absolute maximum of the function f(x) is : f(-8) = 4.

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Answer:

[tex] - \frac{1}{3} \geqslant - \frac{4}{5} x[/tex]

[tex] \frac{1}{3} \leqslant \frac{4}{5} x[/tex]

[tex]5 \leqslant 12x[/tex]

[tex]12x \geqslant 5[/tex]

[tex]x \geqslant \frac{5}{12} [/tex]

Answer:

Equation = 1/4 x + 25 = 70

Solution = $180

Explanation:

Let the original amount she had before she went shopping be x

If she spent one-fourth on sloth, then the amount spent on cloth will be;

1/4 x

If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;

1/4 x + 25 = 70

Find the solution

1/4 x + 25 = 70

1/4 x = 70 - 25

1/4 x = 45

x = 45 * 4

x = 180

Hence the amount she had before going for shoppind was $180

Answer:

Steps to find the equation of a line from two points:

Find the slope using the slope formula. ...

Use the slope and one of the points to solve for the y-intercept (b). ...

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Step-by-step explanation:

Answer:

[tex]y=-2x+30[/tex]

where y is the weight of the cat (in pounds) and x is the number of months.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

The y-intercept is the y-value when x is zero, so the initial value.

If the cat initially weighs 30 pounds, the y-intercept is 30.

The slope is the rate of change.

If the cat lost 2 pounds per month, then the rate of change is -2.

Therefore, the equation the models the given word problem is:

[tex]\boxed{\begin{minipage}{7 cm}\phantom{ww}\\$y=-2x+30$\\\\where:\\ \phantom{ww}$\bullet$ $y$ is the weight of the cat (in pounds). \\ \phantom{ww}$\bullet$ $x$ is the number of months.\\\end{minipage}}[/tex]

First, we will start by converting 607,200 feet to miles

1 mile= 5280 foot

607, 200 feet can be changed to mile by dividing it by 5280

That is;

607,200 feet to mile = 607, 200 / 5280 = 115 miles

Hence; speed

= distance over t/

= 115 /1

=115 miles per hour

The answer to the expression [2−||−23−2(−15)||]÷(−13) is 5/13.

In the question ,

the expression is given as

=[2−||−23−2(−15)||]÷(−13)

Solving the terms inside [ ] , we have

2*(-15) = -30

Substituting the value of 2*(-15) in the expression , we get

=[2-||-23-(-30)||]÷(−13)

=[2−||−23+30||]÷(−13)   ....as -(-30) = 30

Solving the terms inside the modulus ||  || , we get

=[2−||+7||]÷(−13)      ...as ||-23+30|| represents the modulus(norm) value ..

So ,Simplifying further , we get

=[2−7]÷(−13)                ....as 2-7 = -5

=[-5]÷(−13)       ...as a÷b can be written as a/b

= -5/-13

writing the answer in the simplified form .

= 5/13

Therefore , the answer to the expression [2−||−23−2(−15)||]÷(−13) is 5/13.

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Answer: Using the pythaorean theoream we have to det

The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs). The answer will be 0.9+0.06+0.004= 0.964

Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative integers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. The set that the values created are contained in is known as the codomain, while the set that the operation really produced is known as the codomain of definition, active codomain, image, or range. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.

A scalar can be multiplied by a vector to create another vector (a process known as scalar multiplication), and two vectors can be combined to make a scalar quantity in an inner product operation. An operation may or may not have specific characteristics, such as being idempotent, associative, commutative, or anticommutative.

The sum of the values is referred to as the operands, arguments, or inputs, while the result is referred to as the value, output, or result. Operations may require less than two inputs or more (including the case of zero input and infinitely many inputs).

9x1/10+6x1/100+4x1/1000

0.9+0.06+0.004= 0.964

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Step-by-step explanation:

Your slope and your x and y intercept.

x + 2y =7

Divide through by 2, we have:

x/2 + 2y/2 = 7/2

x/2 + y = 7/2

y = 7/2 - x/2

In the form y = mx + c gives.

Where m is the slope.

.: The slope = -1

Dragon needs 2.16 seconds to eat 90 kilograms of human beings.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that,

If a dragon can eat an entire cow weighing 500 kilograms in 12 seconds,

500 kilograms = 12 seconds

By unitary method

1 kilogram = 12 / 500

1 kilogram = 0.024 second

For 90 kilograms

90 kilogram=90 × 0.024 second

90 kilogram = 2.16 second

Thus, a dragon needs 2.16 seconds to eat 90 kilograms of human beings.

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Two triangles cannot be proven to be congruent using the method: A. Prove all sets of corresponding angles are congruent.

Two triangles are congruent to each other if they have the same shape and the same size, that is, all three sets of corresponding sides and all three sets of corresponding angles of the two triangles are congruent to each other.

Also, the following condition or criteria can be used to determine if two triangles are congruent to each other:

Thus, the method that cannot be used is: A. Prove all sets of corresponding angles are congruent.

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Given that tanθ = 3.2603 where π < θ < 3π/2

From the calculation the value of θ = 72.95, hence the correct the error by adding 180

because it dint dnt fall in the range of

And to correct the error add 180 to their answer,

Hence the value of θ = 180 + 72.95 = 252.95 degree

Answer:

see explanation

Step-by-step explanation:

(a)

the 2 angles are same- side interior angles and are supplementary.

(c)

since they are supplementary , they sum to 180° , that is

6x + 14 + 10x - 10 = 180

16x + 4 = 180 ( subtract 4 from both sides )

16x = 176 ( divide both sides by 16 )

x = 11

(d)

then

6x + 14 = 6(11) + 14 = 66 + 14 = 80

10x - 10 = 10(11) - 10 = 110 - 10 = 100

note 80 + 100 = 180 ( supplementary angles )

Mean=54.1 Median=55 Mode=1 Midrange=53 are the correct values of mean, median, mode and midrange.

(a) Mean= sum of data/ number of data

=(55+64+45+77+88+51+41+54+35+67+18)/11

=595/11

=54.09 or 54.1

(b) Median is the middle value, which in this case is 51.

(c)  Mode is the count of the number stating how many time it has been repeated in the data.

For instance in the given data :-

55 64 45 77 88 51 41 54 35 67 18

mode of 55 is 1, since it appears only one time.

No numbers in the given data repeats, i.e. all the values are unique. Thus the mode of the given data is 1.

(d) Mid-range is (highest value in the data + lowest value in the data)/2

in this case, the highest value is 88 and the lowest value is 18. Substituting these values in the formula:

(88+18)/2

=106/2

=53

What is mean median mode and midrange?

Mean is the sum of data divided by number of data, Median is the middle value of the data when arranged in ascending or descending order, Mode is the count of the number stating how many time it has been repeated in the data and Mid-range is highest value in the data plus lowest value in the data whole divided by 2.

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