When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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1) The length of the rectangle is 15 feet and its width is 9 feet.

2) The admission price for an adult ticket is $10 and a student ticket is $6.

1) We shall use the formula for the area of a rectangle to find the length and the width:

A = l * w

where:

A = Area.

l = length

w = width.

Given:

l = 6 feet more than the width.

A = 135 feet square meter

First, we write an equation for the area like this:

(w + 6) * w = 135

Expanding the equation:

w² + 6w - 135 = 0

Next, solve the quadratic equation by factoring:

(w - 9)(w + 15) = 0

So either w - 9 = 0 or w + 15 = 0. This means that either w = 9 or w = -15. Since the width cannot be negative, we have w = 9.

Finally, we shall find the length since we know the width. This can be done by using the fact that it is 6 feet more than the width:

l = w + 6 = 9 + 6 = 15

So, the length is 15 feet and the width is 9 feet.

2) We can find the admission price for an adult ticket and a student ticket by using Mathematical operators:

Let,

a = an adult ticket price

s = a student ticket price

From the given information, we get these equations:

5a + 11s = 116

3a + 4s = 54

Next, solve by substitution.

Solving for 'a' in the second equation:

a = (54 - 4s) / 3

Then, substitute the second expression for 'a' into the first equation:

5((54 - 4s) / 3) + 11s = 116

Multiply both sides by 3:

5(54 - 4s) + 33s = 348

Finally, expand and simplify:

270 - 20s + 33s = 348

13s = 78

s = 6

So, a student ticket costs $6.

Plug this value into either equation to get the adult ticket price:

3a + (4 * 6) = 54

3a + 24 = 54

3a = 30

a = 10

So, an adult ticket costs $10.

Therefore,

1) The length of a rectangle is 15 feet and the width is 9 feet

2) The admission price for an adult ticket is $10 and that of a student is $6

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Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

(d) They are supplementary angles .

Angle 161° and angle 19° are supplemetary angles because :-

Their sum = 161 + 19 equals to 180° . Since two angles who add upto 180° are called as supplementary angles , both these angles are said to be a supplement of each other .

Therefore , the correct option is :-

(d) They are supplementary angles .

The problem is asking to find the probability that in a sample of 300 children under the age of 6 years in the United States, 27% of them live in households that are at or below poverty income.

The first step is to calculate the standard deviation for the proportion of children in poverty in the sample. This can be done using the formula:

σ = sqrt(p * (1-p) / n)

Where p is the proportion of children in poverty in the population (0.22) and n is the sample size (300).

Next, we can standardize the difference between the sample proportion and the population proportion using the z-score formula:

z = (p_sample - p_population) / σ

Finally, we can find the probability that the z-score is less than or equal to the z-score corresponding to a 27% sample proportion using a standard normal table or calculator. This probability can be interpreted as the probability that 27% or fewer children in the sample are living in households below poverty income.

Answer choice C, (0.27 - 0.22) * (0.73), does not seem to be related to the steps outlined above and does not provide an accurate answer for the problem.

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The conclusion about the composite function is that  if g(3) = 5 and f(5) = 20, then (f ∘ g)(3) = 20

The definition of the composite function is given as

(f ∘ g)(x) = f(g(x))

The above means that

We start by calculating g(x)

Here, we have

g(3) = 5

Substitute g(3) = 5 in (f ∘ g)(x) = f(g(x))

So, we have

(f ∘ g)(3) = f(g(3))

So, we have

(f ∘ g)(3) = f(5)

From the question, we have

f(5) = 20

This means that

So, we have

(f ∘ g)(3) = 20

Hence, the conclusion about the composite function is that if g(3) = 5 and f(5) = 20, then (f ∘ g)(3) = 20

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Answer:

2/5

Step-by-step explanation:

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Answer:

Its a and c

Step-by-step explanation:

Did it and got it right

The equivalent expression to 6 + (-x) + 2x + (-7) is x - 1

Given expression

6 + (-x) + 2x + (-7)

= 6 - x + 2x - 7

= x - 1

Options

= 3x - 1

= 3x + 2

= 3x - 1

True

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Possible expressions for the length and the width of her pantry floor are x + 3 and x + 8

The function given for the area of the rectangular pantry floor is expressed as;

Area = x2 + 11x + 24

Now, let's solve the quadratic equation using the factorization method

Multiply the coefficient of x squared by the constant + 24

Then, find the pair factors of product that sums up to 11 and substitute the values

We get;

x² + 8x + 3x + 24

Factor in pairs, we have;

(x² + 8x) + (3x + 24)

Now, factor the common terms, we have;

x( + 8) + 3(x + 8)

Then, the expression for x are;

Length = x + 3

Width = x + 8

Hence, the expressions are x + 3 and x + 8

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pabigay po example formula

Step-by-step explanation:

Surface Area Of Regular Pyramid By Using A Formula

surface area = area of base + 1/2 × perimeter of base × slant height.

Answer:

12,336

Step-by-step explanation:

1% from both prices are 697 and 845 you will add those numbers = 1542 and multiply by 8 = 12336

The volume of the given complex structure would be = 56 m³

The structure is made up of the big and small cubes.

The volume of the big cube = length × breadth × width = 7 × 3 × 4 = 84 m³

The volume of the small cube cut out = length * breadth * width = 4 × 7 × (4 - 3) = 28 m³

Volume of the complex figure = 84 m³ - 28 m³ = 56 m³

The volume of the complex figure shown in the diagram is 56 m³.

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Answer:

The sequence can be represented by the formula of its nth term:

\(a_n=\frac{(-1)^n}{n}\)

Step-by-step explanation:

Notice that we are in the presence of an alternate sequence (the values alternate from negative to positive. Therefore we need to take into account that there should be a factor "-1" raised to the "n" value for the sequence. Also, given that the sequence looks in absolute value like the harmonic sequence, we conclude upon the following general form for the "nth" term of the sequence:

\(a_n=\frac{(-1)^n}{n}\)

Answer:  14x +11

Step-by-step explanation:

4(2x - 1) + 3(2x +5) = 8x - 4 + 6x +15

                              = 8x + 6x + 15 - 4

                              = 14x + 11

Answer:

14x + 11

Step-by-step explanation:

\(\boxed{\begin{minipage}{9.6cm}\underline{Distributive Property}\\\\Distributive multiplication over addition and subtraction:\\\\Addition:\;\;\:\:\:\:\;$a(b + c) = ab + ac$\\Subtraction:\;\;$a(b - c) = ab-ac$\\\end{minipage}}\)

Use the distributive property to expand, then collect and combine like terms:

\(\begin{aligned}4(2x - 1) + 3(2x +5)& = 4 \cdot 2x + 4 \cdot (-1) + 3 \cdot 2x + 3 \cdot 5\\&=8x-4+6x+15\\&=8x+6x+15-4\\&=14x+11\end{aligned}\)

Answer:

18

Step-by-step explanation:

Answer:

6

Step-by-step explanation: 1/3 12 is 4 and 2/3 would be 6 and if you divide that by 3 you get two two plus two is four so not simlyfyed it would be 4/6

may i have brainlyest  please have a great day

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

To solve this equation, at first, let's just substitute x with 2.

So, the equation becomes ⇨ 2+4/3×2

\( \tt \: \frac{x + 4}{3x} \\ \\ \tt \:\dashrightarrow \frac{(2) + 4}{3(2)} \\ \\ \tt \: Add \: 2 \: and \: 4 \: to \: get \: 6. \\ \\ \tt \: = \frac{6}{3\times 2} \\ \\ \tt \:Multiply \: 3 \: and \: 2 \: to \: get \: 6. \\ \\ \tt \:= \frac{6}{6} \\ \\\tt \: Divide \: 6 \: by \: 6 \: to \: get \: 1. \\ \\ = \boxed{ \boxed{ \bf \: 1}}\)

Therefore, the number of seats for each aircraft is 752, 688, and 1224.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54.

Let x be the number of seats for the second aircraft.

The first aircraft has x + 64 seats.

The third aircraft has 2x - 152 seats.

The total number of seats for all aircraft is x + (x + 64) + (2x - 152) = 1900.

Therefore, 3x = 2064, so x = 688.

The first aircraft has 688 + 64 = 752 seats.

The third aircraft has 2(688) - 152 = 1224 seats.

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Answer:

90° im pretty sure is the correct answer

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Part (d)

If xy > 0, then the two items x and y must have the same sign.

Examples where x,y are both positive

Examples where x,y are both negative

This places us in either the first quadrant or third quadrant (Q1 and Q3)

======================================================

Part (e)

If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.

Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.

======================================================

Part (f)

If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).

Answer:

(d)  The set of all points in quadrants I and III (x and y have the same sign).

(e)  The set of all points below the x-axis.

(f)  The set of all points on the y-axis.

Step-by-step explanation:

The Cartesian plane is divided into four quadrants.  

Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.

Part (d)

For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.

Therefore, the description that satisfies the given condition is:

Part (e)

For y < 0, y is always negative.

Quadrants III and IV are below the x-axis.

Therefore, the description that satisfies the given condition is:

Part (f)

The only place where x = 0 is the y-axis.

Therefore, the description that satisfies the given condition is:

Step-by-step explanation:

By using Distributive Property on 3(-x - 2),

3(-x - 2) = (3)(-x) + (3)(-2) = -3x - 6.

Since -3x - 6 =/= -3x + 6,

they are not equalized.

8x^2y + 12xy - 16xz

= 4x (2xy+3-4z)

Answer: 4x(2xy+3-4z)

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Answer:

20 blogs

Step-by-step explanation:

Step 1:  Determine the proportion of pop culture blogs:

First, we need to determine the proportion of pop culture blogs already written.  We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:

The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers

Proportion =  26 / (20 + 26 + 7 + 12)

Proportion = 26 / 65

Proportion = 0.4

Step 2:  Multiply the proportion of pop culture blogs by the number of upcoming blogs:

To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:

Expected number of pop culture blogs = proportion of pop culture blogs *  number of upcoming blogs

Expected number = 0.4 * 50

Expected number = 20

Thus, you should expect 20 pop culture blogs to be written given the data.

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