Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.

I'm assuming X and Y are current present day ages.

Simply add 10 to each variable to find the future ages ten years from now.

Your dad's future age = X+10

Your future age = Y+10

Since we don't know what X or Y is, we cannot combine those terms. We leave them as is.

Answer:

\(\bold{x+10,y+10}\)

Step-by-step explanation:

Hi there!

Right now, your dad's age is X years.

In 10 years, it will be x+10.

If your age is y years, in 10 years, it will be y+10.

No matter what x is, no matter what y is, it will be x+10 and y+10.

Thus, x+10 and y+10 is our final answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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Answer:

ya ya ya ya ya ya ya ya

Step-by-step explanation:

The total quantity of meat is 5.5 pounds.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, quantity of ground beef = 1.68 pounds, quantity of chicken = 2.8 pounds and quantity of turkey = 1.02 pounds.

Here, total = The quantity of ground beef + The quantity of chicken + The quantity of turkey

Total = 1.68+2.8+1.02

= 5.5 pounds

Therefore, the total quantity of meat is 5.5 pounds.

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The measure of angle B in triangle ABC is 158°.

A triangle is a 2-dimensional closed shape with three sides, three angles, and three vertices. A triangle would be a category of polygon.

For the given angles of the triangle ABC.

∠BAC = 78° , ∠CAD = 46° and ∠ADB = 110°.

Now,

∠BAC = ∠BAD + ∠DAC

Put the values;

78° = ∠BAD + 46°

∠BAD = 78° - 46°

∠BAD = 32°

Now, in a triangle; the sum of all three angles is 180°.

In triangle ADB

∠ABD + ∠BAD + ∠BDA = 180°

Put the values;

∠ABD +  32° +  110°  =  180°

∠ABD = 180°  -  142°

∠ABD = 158°

Thus, the measure of angle B is 158°.

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The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:x=4

Step-by-step explanation: I took the K12 test and I got 100%

Answer: 50 50 =.    I’m pretty sure I don’t know for sure though maybe the person above me or below me got it right

Answer:

For the die, it would be 50% because you got six numbers and half of them are 1,3 and 5, while the others are 2,4 and 6.

For the coin, it will also be 50% because there are two sides.

Answer:

The  90%  confidence interval for population mean is   \(14.7 < \mu < 19.1\)

Step-by-step explanation:

From the question we are told that

   The sample mean is  \(\= x = 16.9\)

    The confidence level is  \(C = 0.90\)

     The sample size is  \(n = 45\)

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       \(\alpha = 1-0.90\)

       \(\alpha = 0.10\)

Next we obtain the critical value of  \(\frac{\alpha }{2}\)  from the standardized normal distribution table. The values is  \(Z_{\frac{\alpha }{2} } = 1.645\)

The  reason we are obtaining critical values for \(\frac{\alpha }{2}\)  instead of  that of  \(\alpha\)  is because \(\alpha\)  represents the area under the normal curve where the confidence level 1 - \(\alpha\) (90%)  did not cover which include both the left and right tail while \(\frac{\alpha }{2}\)  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        \(MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

         \(MOE = 1.645* \frac{ 9 }{\sqrt{45} }\)

         \(MOE = 2.207\)

The  90%  confidence level interval is mathematically represented as

      \(\= x - MOE < \mu < \= x + MOE\)

substituting values

     \(16.9 - 2.207 < \mu < 16.9 + 2.207\)

    \(16.9 - 2.207 < \mu < 16.9 + 2.207\)

     \(14.7 < \mu < 19.1\)

Answer:

surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

28% of 80 = \(\frac{28}{100}\) of 80

=\(\frac{28}{100}\) of 80 = \(\frac{28}{100}\)*80

cut the zeros

=\(\frac{28}{10}\)*8

=\(\frac{28}{5}\)*4

=\(\frac{112}{5}\)

=22.4

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Hello

Step-by-step explanation:

hello I'm Filipino people

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Answer:

\(9\pi\)

Step-by-step explanation:

\(\text{Arc length,}~ s = r\theta\\\\~~~~~~~~~~~~~~~~~~=12 \times \left( \dfrac{135\pi}{180} \right)\\\\~~~~~~~~~~~~~~~~~~=9\pi\)

Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

The Central Angle of each color is:

Red= 100°

Blue= 150°

Green= 50°

Purple = 60°

According to the definition of a central angle in geometry, it is the angle that the arc of a circle occupies in its centre. The angle's arms are formed by the two radii. Knowing the ratio of the curve to the circle using the central angle is helpful.

To draw a pie chart we have to find the central angle.

For Red

= 20/72 x 360

= 100 degree

For Blue

= 30/72 x 360

= 150

For Green

= 10/72 x 360

= 50

For Purple

= 12/ 72 x 360

= 60

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Answer:

Step-by-step explanation:

Yes, the constant of proportionality is 0.3.

Answer:

Yes, the constant of proportionality is 0.3.

Step-by-step explanation:

12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3

16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3

$0.3 = $0.3

Yes, the constant of proportionality is 0.3.

Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

Answer:

x=21

Step-by-step explanation:

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

A=90

B=-20

Step-by-step explanation:

you can see the arrow in A and B

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Given RST similar to UVT

This means the corresponding sides are proportional to each other.

Thus, we can write ratios and solve for the variables.

First,

12 corresponds to 4

x corresponds to 6

We can write a ratio and solve for x:

Similarly, we can say:

12 corresponds to 4

y corresponds to 9

We can write a ratio and solve for y:

Answer:

it's 0

Step-by-step explanation:

probably..............

Answer:

b = 4 and -6

Explanation:

Given the equation:

|b + 1| = 5

|b + 1| represents the absolute value of (b + 1)

This equation gives rise to two equations

b + 1 = 5 ......................................(1)

b + 1 = -5 .......................................(2)

Solve equation (1)

b + 1 = 5

Subtract 1 from both sides of the equation

b + 1 - 1 = 5 - 1

b = 4

Solve equation (2)

b + 1 = -5

Subtract 1 from both sides of the equation

b + 1 - 1 = -5 -1

b = -6

Therefore, the values for b are 4 and -6

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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