If x = 10 find the value of
2x + 9​

Answer:

Step-by-step explanation:

Let Michael's age be x and James' age be y

x  +  y  =  98        ------------------       (1)

x  -  y  =  22        -------------------       (2)

Adding (1) and (2) , we get ,

2x  =  120

x = 60 yrs
y = 98 - 60 = 38 yrs

5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.

The diameter of that circumcircle is 483.28 meters.

We have to find the length of one of the sides.

The diameter can be converted to a radius dividing it by 2:

We will need to also know the measure of the interior angle of the pentagon.

For regular polygons we can calculate it as:

We can then draw a right triangle that will let us calculate the side length (a):

As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.

Then, we can use trigonometric ratios to find a:

Answer: 284.06 meters.

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

18 in.  would be the correct answer.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

15 + Percentage increase =

15 + (20% × 15) =

15 + 20% × 15 =

(1 + 20%) × 15 =

(100% + 20%) × 15 =

120% × 15 =

120 ÷ 100 × 15 =

120 × 15 ÷ 100 =

1,800 ÷ 100 = 18

hope this helped :)

Answer: 1

Step-by-step explanation:

If heads is 3 more likely to come up than tails, then there are 3 heads for every tails.  

Hope it helps <3

Answer:

Step-by-step explanation:

Question A

Using the proportions of similar triangles:

Question B

Answer:

28

Step-by-step explanation:

I'm not sure sorry..........

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

51

Step-by-step explanation:

Answer: Your answer will be 51.

Hope this helps good luck!

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

The shape of the face where the square pyramid and the rectangular prism connect is a square (option c). This is because the base of the pyramid is the exact same size and shape as the top of the prism, which is also a square.

The shape of the face where the square pyramid and the rectangular prism connect is a square. Since the base of the pyramid is the exact same size and shape as the top of the prism, it means that both the pyramid and the prism have a square as their common base. When these two shapes are placed together, the corresponding faces that match up are also squares.

In a square pyramid, all the lateral faces are triangles, while the base is a square. On the other hand, a rectangular prism has rectangular faces on the sides and squares as the top and bottom faces.

When the two shapes are combined, the triangular lateral faces of the pyramid are connected to the rectangular faces of the prism, but the common face where they meet is the square base of both shapes. Therefore, the face where the pyramid and prism connect is a square. Hence, the correct answer is c. square.

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The 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

To construct a 95% confidence interval for the mean weight of the bags of that specific brand of candies, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value)× (Standard Deviation / √Sample Size)

First, let's calculate the critical value. Since the population distribution is assumed to be normal and the sample size is small (n = 16), we can use a t-distribution instead of a z-distribution.

The critical value can be obtained from the t-distribution table or using statistical software. For a 95% confidence level with 15 degrees of freedom (n - 1 = 16 - 1 = 15), the critical value is approximately 2.131.

Now, we can plug in the given values into the formula:

Sample Mean = 2.5 ounces (given)

Standard Deviation = 0.1 ounces (known)

Sample Size (n) = 16 (given)

Critical Value = 2.131 (from t-distribution)

Confidence Interval = 2.5 ± (2.131)× (0.1 / √16)

Calculating the standard error (Standard Deviation / √Sample Size):

Standard Error = 0.1 / √16 = 0.1 / 4 = 0.025

Confidence Interval = 2.5 ± (2.131) × (0.025)

Calculating the bounds of the confidence interval:

Lower Bound = 2.5 - (2.131) ×(0.025)

Upper Bound = 2.5 + (2.131)×(0.025)

Lower Bound ≈ 2.5 - 0.0539 ≈ 2.4461 ounces

Upper Bound ≈ 2.5 + 0.0539 ≈ 2.5539 ounces

Therefore, the 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

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Answer:

-12

Step-by-step explanation:

32 + (6-2) x 5 - 4^3

= 32 + (4) x 5 - 64

= 32 + 20 - 64

= 52 - 64

= -12

Answer:

linear monomial

Step-by-step explanation:

\(Hello\) \(There!\)

I'll be helping your question today!

Let's do this step-by-step explanation!

\(9x^2-81\)

Factor out common term 9: \(9(x^2-9)\)

\(=9(x^2-9)\)

Factor:\(x^2-9:(x+3)(x-3)\)

\(=9(x+3)(x-3)\)

Answer:

\(9(x+3)(x-3)\)

The real answer is:

\(3x-3\)

Hopefully, this helps you!!

#LearnWithBrainlyAlways~

\(SokkaBanned\)

The factorization of \(9x^2 - 81\) is given 9(x-3)(x+3). Therefore, (c) is the correct option.

Factorization is the method of simplification of algebraic expressions which contains variables and constants into form that can not be divided into further factors.

To factorize, we first check if any variable or constant can be taken common. Next we check for algebraic identities.

Given in the question,

\(= 9x^2 - 81\\\\= 9(x^2 - 9)\\\\=9(x^2-3^2)\\\\=9(x-3)(x+3)\)

identity used : \((a^2-b^2) = (a-b)(a+b)\)

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Answer:

The slope is  

11 − 2  or  − 5.5 .

Step-by-step explanation:

To find the slope given two points, we use the formula  

rise

run

, or  

y

2

−

y

1

x

2

−

x

1

.

Plug in the given points into the formula:

5

−

(

−

6

)

4

−

6

=

11

−

2

Therefore, the slope is  

11

−

2

or  

−

5.5

.

Hope this helps!

The number of hours that the moving company uses is 12 hours.

The linear equation that represents the information in the question is:

Total amount = flat fee + (rate per hour x number of hours)

$120 = $24 + ($8 x t)

$120 = $24 + 8t

Where t is the number of hours

In order to determine the value of t, take the following steps:

Combine similar terms: $120 - $24 = 8t

Add similar terms: $96 = 8t

Divide both sides of the equation by 9

t = 96 / 8 = 12 hours

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To find this answer, we must divide the amount Dillion earned, by the time he put into his work.

170 / 20 = 8.5

Therefor, we now know that Dillion makes $8.5 an hour.

The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

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The dimensions of the rectangle are approximately 3.06 m by 11.12 m.

To solve this problem, we need to use algebra. Let's let "w" be the width of the rectangle. According to the problem, the length is "5 m more than double the width," or 2w + 5.

We know that the area of a rectangle is length x width, so we can set up an equation:

w(2w + 5) = 42

Simplifying this equation, we get:

2w^2 + 5w - 42 = 0

We can solve for "w" using the quadratic formula:

w = (-5 ± √(5^2 - 4(2)(-42)))/(2(2))

w = (-5 ± √433)/4

w ≈ 3.06 or w ≈ -6.94

Since a negative width doesn't make sense, we'll use the positive value of w.

So, the width of the rectangle is approximately 3.06 m. To find the length, we can plug this value back into the expression we came up with earlier:

length = 2w + 5

length ≈ 2(3.06) + 5

length ≈ 11.12 m

Therefore, the dimensions of the rectangle are approximately 3.06 m by 11.12 m.
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Answer:

2/3(6x+12) = -24 can be simplified to

4x+8 = -24 so the first answer is right and if you further simplify it by subtracting the 8 you get

4x = -32

Step-by-step explanation:

Answer:

A.)  D.)

Step-by-step explanation:

edge 2021

The equation that can be used to solve for c in the given right triangle is the sine function: c = (3 meters) / sin(50°).

In the given right triangle ABC, we are given that angle ACB is a right angle (90°) and angle CBA is 50°. We also know the length of side AC, which is 3 meters. The length of side CB is denoted by "a," and the length of the hypotenuse AB is denoted by "c." To solve for c, we can use the trigonometric function sine (sin). In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we can use the sine of angle CBA (50°) to find the ratio between side CB (a) and the hypotenuse AB (c).

The equation c = (3 meters) / sin(50°) represents this relationship. By dividing the length of side AC (3 meters) by the sine of angle CBA (50°), we can find the length of the hypotenuse AB (c) in meters. Using the given equation, we can calculate the value of c by evaluating the sine of 50° (approximately 0.766) and dividing 3 meters by this value. The resulting value will give us the length of the hypotenuse AB, completing the solution for the right triangle.

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The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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Answer:

this is your answer. thanks for points

Answer:

D

Step-by-step explanation:

Answer:

g(x)=-x+10

Step-by-step explanation:

The choice that best represents David monthly interest rate is 0.625%. The correct option is C.

From the information, David opens a savings account with a 7.5% annual interest rate.

It should be noted that there are 12 months in a year.

Therefore, the monthly interest rate will be:

= Annual interest rate / Number if months in a year

= 7.5% / 12

= 0.625%

The interest is 0.625%.

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Complete question

David opens a savings account with a 7.5% annual interest rate. Which choice best represents his monthly interest rate?

A. 7.5%

B. 12%

C. 0.625%

D. 5%

Answer:

H is the Answer

Step-by-step explanation:

Apply distance formula.

\((x {}^{2 } - {x}^{1} ) {}^{2} + ( {y}^{2} - {y}^{1} ) {}^{2} = d {}^{2} \)

where d is the distance.

\(( - 5 - 7) {}^{2} + (0 - 5) {}^{2} = \)

\( - 12 {}^{2} + - 5 {}^{2} = {d}^{2} \)

\( \sqrt{169} = {d}^{2} \)

\(d = 13\)

Answer:

H, 13

Step-by-step explanation:

Distance formula:

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\sqrt{(7-(-5))^2+(-5-0)^2}\\\sqrt{144+25}\\\sqrt{169}\\13\)