Solve for x
-18 - 16 = 7x+ 34

Answer:

i believe 5

Step-by-step explanation:

there five point away from each other

3 is the period of the given periodic function.

The period depicts the separation between two successive points with the same value on the function's graph.

The general procedures to figuring out a periodic function's period are as follows:

In the given case the periodic function has two consecutive successes at x = 1 and x = 4 therefore,

The period of the given function is 3

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Answer:

28

Step-by-step explanation:

There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows

The probability that the number drawn is even or a multiple of 9 is 14/25, which simplifies to 0.56 or 56%.

To find the probability that the number drawn is even or a multiple of 9, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

There are a total of 25 balls numbered from 1 through 25 in the container.

Even numbers: Out of the 25 balls, half of them are even numbers (2, 4, 6, ..., 24). So there are 25/2 = 12.5 even numbers, but since we cannot have a fraction of a ball, we consider it as 12 even numbers. Multiples of 9: Out of the 25 balls, the multiples of 9 are 9, 18, and 27 (which is not in the container). So there are 2 multiples of 9.

Now we sum up the favorable outcomes: 12 even numbers + 2 multiples of 9 = 14 favorable outcomes. The total number of possible outcomes is 25 (since there are 25 balls in total).

Therefore, the probability that the number drawn is even or a multiple of 9 is 14/25, which simplifies to 0.56 or 56%.

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Given:

In triangle \(EFG, m\angle E = 5x, m\angle F=6x\) and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

\(m\angle E+m\angle F=\text{Measure of extirior angle }G\)

\(5x+6x=110^\circ\)

\(11x=110^\circ\)

\(x=\dfrac{110^\circ}{11}\)

\(x=10^\circ\)

Now,

\(m\angle FEG=5x\)

\(m\angle EFG=5(10^\circ)\)

\(m\angle EFG=50^\circ\)

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

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Answer:-3

Step-by-step explanation:

If 3 =h and z=9 you just substitute them into the places of h and z

So 3(8) - 3(9) so 24-27

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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Answer: B $2:00

I Just took it

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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Answer: “The lines are parallel” and “There is no solution to the system” are both correct.

Step-by-step explanation:

Answer:

The lines are parallel” and “There is no solution to the system” are both correct.

Step-by-step explanation:

In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.

In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.

If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.

On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.

It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.

If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.

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Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.

Answer:

holy- that looks so confusing

Step-by-step explanation:

A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.

Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,

a = 5

b = (2π)/(3/7) = 14π/3

d = 2

Substituting the values in the sine function,

a sin b (x-c) + d

= 5 Sin(16π/3)(x-0) + 2

= 5 Sin(16πx/3) + 2

Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

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A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.

A function assigns the value of each element of one set to the other specific element of another set.

As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,

\(g(x) = (x-4)^2+9\)

Hence, the function that will represent g(x) is g(x)=(x-4)²+9.

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Answer:

Option C. g(x) = (x - 4)² + 9

Step-by-step explanation:

The given function is f(x) = x². Following transformations have been done to get the new function as followed

for 9 units up

The parent function f(x) will become as g(x) = x² + 9

then 4 units shifted to the right

Then the new function becomes g(x) = (x - 4)² + 9

The expression after the negative exponents have been eliminated is a^3b^4/ab^2.

When eliminating negative exponents, we must remember that the negative sign is flipped and the exponent becomes positive. To illustrate this, let's look at the expression given: a^3b^-2/ab^-4. To eliminate the negative exponents, we must change the sign of the exponents, so the expression becomes a^3b^2/ab^4. We can then simplify this expression by cancelling out the a and b terms on the top and bottom of the fraction, giving us a^3b^4/ab^2. Therefore, the expression after the negative exponents have been eliminated is a^3b^4/ab^2.

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The given query displays the model number and price of all products made by the manufacturer B. There are six relations involved in this query.

Let's go through each of the relations one by one.

R1 relationR1:=σ maker ​=B( Product ⋈PC)

This relation R1 selects the tuples from the Product ⋈ PC relation whose maker is B.

The resulting relation R1 has two attributes: model and price.R2 relationR2:=σ maker ​=B( Product ⋈ Laptop)

This relation R2 selects the tuples from the Product ⋈ Laptop relation whose maker is B.

The resulting relation R2 has two attributes: model and price.R3 relationR3:=σ maker ​=B( Product ⋈ Printer)

This relation R3 selects the tuples from the Product ⋈ Printer relation whose maker is B.

The resulting relation R3 has two attributes: model and price.R4 relationR4:=Π model, ​price (R1)

The resulting relation R4 has two attributes: model and price.R5 relationR5:=π model, price ​(R2)

The relation R5 selects the model and price attributes from the relation R2.

The resulting relation R5 has two attributes: model and price.R6 relationR6:=Π model, ​price (R3)

The resulting relation R6 has two attributes: model and price.

Finally, the relation R7 combines the relations R4, R5, and R6 using the union operation. R7 relationR7:=R4∪R5∪R6

Therefore, the relation R7 has the model number and price of all products made by the manufacturer B.

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The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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The questions that could be used to challenge each claim goes as follows.

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Answer:

29/14

Explanataion:

Answer:

2.4(12×4)

2.4* 48

= 115.2

brsimliest pls.

Answer:

9

Step-by-step explanation:

f(x)=2^x +1, then f(3)

Replace the x with 3

f(3)=2^3 +1

(2*2*2)+1 = f(3)

9= f(3)

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer: Option C

Given the linear equation

y = x + 2

when x = 0

y = 0 + 2

y = 2

when x = 1

y = 1 + 2

y = 3

when x= 2

y = 2 + 2

y = 4

when x = 3

y = 2 + 3

y = 5

Therefore, option C is likely to fit the linear equation

Answer:

-4

Step-by-step explanation:

that is the nth termmmmm

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is the polynomial's final behavior will be "down" on the left and "up" on the right.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. Expressions that contain variables of various intensities, non-zero coefficients, positive exponents (of variables), and constants are known as polynomial functions. For instance, the polynomial in "b" of degree 2 is f(b) = 4b² - 6.

Given,

The behavior of the graph of a polynomial function when the leading coefficient of an odd degree polynomial is greater than zero is:

This odd-degree polynomial's end behavior will resemble that of a positive cubic because its leading coefficient is positive. As a result, the polynomial's final behavior will be "down" on the left and "up" on the right.

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amount he earned for selling all of the oranges =

$0.5 x 100 = $50

% profit = ((50 - 40)/40) x 100% = 25%

Therefore, he made a 25% profit