the first quartile of a data set is 72, and the third quartile is 92. Which of these values in the data set is an outlier ?

A. 61
B. 121
C. 101
D. 41​

Answer:

(f+g)(x)​ is 5^x + 5x - 6

Step-by-step explanation:

To find (f + g)(x), we are merely adding up all the terms present in both

f(x)= 5^x + 2x and g(x)= 3x - 6.  5^x is unique and cannot be combined with any other term.  2x and 3x can be combined to obtain 5x.  -6 is unique.

Thus, the sum (f+g)(x)​ is 5^x + 5x - 6.

Answer:

[tex]5^x+5x-6[/tex]

Step-by-step explanation:

[tex]f(x)=5^x + 2x[/tex]

[tex]g(x)= 3x - 6[/tex]

[tex](f+g)(x)[/tex]

[tex]f(x) + g(x)[/tex]

[tex]5^x+2x+3x-6[/tex]

[tex]5^x+5x-6[/tex]

Answer:

[tex]a_{11} = 14336[/tex]

Step-by-step explanation:

The general formula for the twelfth term of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

Where [tex]a_1[/tex] is the first term and r is the common ratio

In this case we know that:

[tex]a_1 = 14\\r=-2[/tex]

The equation is:

[tex]a_n = 14(-2)^{n-1}[/tex]

So for [tex]n = 11[/tex] we look for [tex]a_{11}[/tex]

[tex]a_{11} = 14(-2)^{11-1}[/tex]

[tex]a_{11} = 14(-2)^{10}[/tex]

[tex]a_{11} = 14336[/tex]

Answer:

[tex]11^{th}[/tex] term = 14336

Step-by-step explanation:

We are given the first term [tex] a _ 1 = 1 4 [/tex] and  common ratio [tex] r = - 2 [/tex] of a geometric sequence and we are to find the [tex]11^{th}[/tex] term of this sequence.

We know that the formula to find the [tex]n^{th}[/tex] term in a geometric sequence is given by:

[tex]n^{th}[/tex] term = [tex] a r ^ { n - 1 } [/tex]

Substituting the given values in the above formula:

[tex]11^{th}[/tex] term = [tex]14 \times(-2)^{11-1}[/tex]

[tex]11^{th}[/tex] term = [tex]14 \times(-2)^{10}[/tex]

[tex]11^{th}[/tex] term = 14336

Answer:

This answer isn't there, but it's correct: 3.5

Step-by-step explanation:

Subtract 1 from both sides of the equation.

2x = 7

Divide both sides of the equation by 2.

x = 7/2

x = 3.5

Final answer:

The solution to the equation 2x + 1 = 8 is x = 3.5, but this option is not listed among the provided answers, suggesting a possible error in the options listed.

Explanation:

The question seeks the solution set for the equation 2x + 1 = 8. To find the value of x, we begin by subtracting 1 from both sides of the equation, resulting in 2x = 7. Next, we divide both sides by 2 to isolate x, yielding x = 3.5. However, it's important to note that the options provided do not seem to match this solution. It's possible there was an error in the transcription of the options since none of them include 3.5.

Answer:

f(x)=-13

Step-by-step explanation:

-2x2+2x-3

-2(5)*2+2(5)-3

-10*2+10-3

-20+7=-13

I hope this helps!

Answer:

The value of f(5) is -43

Step-by-step explanation:

[tex]f(x)=-2x^2 + 2x - 3[/tex]

To find f(5) we plug in 5 for x in the given equation f(x)

Replace all x by 5

[tex]f(x)=-2x^2 + 2x - 3[/tex]

[tex]f(5)=-2(5)^2 + 2(5) - 3[/tex]

[tex]f(5)=-2(25) + 10 - 3[/tex]

[tex]f(5)=-50+ 10- 3=-43[/tex]

The value of f(5) is -43

Answer:

AB=30.9 AC=29.9

Step-by-step explanation:

Rest of the answer is in the picture.

Answer:

AC= 29.9

AB= 30.9

Answer:

The common ratio is 1/3.

Step-by-step explanation:

Divide each term after the first by the previous one.

9/27 = 1/3

also 3/9 = 1/3 and 3 / 3 = 1/3.

Answer:

Step-by-step explanation:

[tex]\text{The common ratio of a geometric sequence}\ a_n:\\\\r=\dfrac{a_{n+1}}{a_n}\\\\\text{We divide next term by the previous one.}\\\\r=\dfrac{9}{27}=\dfrac{9:9}{27:9}=\dfrac{1}{3}\\\\r=\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}\\\vdots[/tex]

Answer:

5x-8/12y

Step-by-step explanation:

x+1

3y

+

x−2

4y

−(

x+3 /6y

=

30xy2−48y2

72y3

=

30x−48/72y

=

5x−8 /12y

Answer:

about 50 000 i think sorry if this didnt hep

Step-by-step explanation:

To calculate the previous population before a 15% increase that resulted in a current population of 59,800, we use the formula: Previous Population = Current Population / (1 + Percentage Increase), which yields a previous population of approximately 52,000.

The question pertains to determining what the previous population of a city was before it experienced an increase of 15%. Given that the current population is 59,800, we can calculate the previous population using the formula:

Current Population = Previous Population * (1 + Percentage Increase)

To find the Previous Population, we rearrange this formula:

Previous Population = Current Population / (1 + Percentage Increase)

By substituting in the given values:

Previous Population = 59,800 / (1 + 0.15)

Previous Population = 59,800 / 1.15

Previous Population = 52,000 (approximately)

Therefore, the previous population of the city was around 52,000 inhabitants before the 15% increase.

Answer:

90

Step-by-step explanation:

13.5/.15

To solve this you must use a proportion like so...

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

15 is a percent and percent's are always taken out of the 100. This means that one proportion will have 15 as the part and 100 as the whole

We want to know out of what number is 13.5 15% of. This means 13.5 is the part and the unknown (let's make this x) is the whole.

[tex]\frac{13.5}{x} =\frac{15}{100}[/tex]

Now you must cross multiply

13.5*100 = 15*x

1350 = 15x

To isolate x divide 15 to both sides

1350/15 = 15x/15

90 = x

This means that 15% of 90 is 13.5

Hope this helped!

~Just a girl in love with Shawn Mendes

The system of equations with y = -4x and y = 2x + 3 has no solution.

The system of equations with y = -4x and y = 2x + 3 has no solution. To determine this, we can set the two equations equal to each other and solve for x:

-4x = 2x + 3

Adding 4x to both sides, we get:

0 = 6x + 3

Subtracting 3 from both sides, we get:

-3 = 6x

Dividing both sides by 6, we get:

-1/2 = x

Substituting x = -1/2 back into either equation will result in a false statement, indicating that the system has no solution.

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Answer:

x = 13.0

Step-by-step explanation:

We are given the two legs of the right triangle.

We can use the Pythagorean theorem.

a^2 +b^2 = c^2

7^2 +11^2 = x^2

49+121 = x^2

170 = x^2

Take the square root of each side

sqrt(170) = sqrt(x^2)

13.038 = x

To the nearest tenth

13.0 =x

Answer:

22 x^2

Step-by-step explanation:

Simplify the following:

11 x^2 + 11 x^2

Hint: | Add like terms in 11 x^2 + 11 x^2.

11 x^2 + 11 x^2 = 22 x^2:

Answer:  22 x^2

none of your answers are correct.

Answer:

Option C) 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem

The equation of the line represented a direct variation

The value of k is equal to [tex]k=y/x[/tex]

we have the points

(1,n) and (n,16)

so

[tex]k=n/1[/tex]

[tex]k=16/n[/tex]

equate

[tex]n/1=16/n[/tex]

solve for n

[tex]n^{2}=16\\ \\n=(+/-)4[/tex]

therefore

The value of n could be 4 or -4

To find the value of n, substitute the given points into the equation y=kx and solve for n. The possible value of n is 4.

To find the value of n, we need to use the given points and equation. Since the line passes through (1,n), we can substitute these values into the equation y=kx to get n=k(1) or n=k. Similarly, substituting the values (n,16) into the equation gives us 16=k(n). By equating these two equations, we can solve for k and n.

Using substitution, we have n=16/n. Solving this equation by multiplying both sides by n, we get n^2=16. Taking the square root of both sides, we have n=±4. Therefore, the value of n that could be possible is 4.

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Answer:

C. 6 packages

Step-by-step explanation:

4 divided by 2/3

=>4x3/2=6

mark me as the brainliest plz

Given 4 yards of ribbon and each package requires 2/3 yard, Kris can wrap 6 packages.

This question is about dividing total resources, in this case, ribbon, by the amount needed for each unit, in this case, a package. Kris has 4 yards of ribbon, and each package requires 2/3 yard of ribbon to wrap. To find out how many packages Kris can wrap, we need to do a division: total yards of ribbon ÷ yards of ribbon per package.

The equation for this would be: 4 ÷ 2/3. When we divide by a fraction, we multiply by its reciprocal. The reciprocal of 2/3 is 3/2, so we set up the equation like this: 4 x (3/2).

The answer to this equation is 6. Hence, Kris can wrap 6 packages with 4 yards of ribbon.

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The measure of the consecutive angle x is 50 degrees in the given rhinestone. The given angles are supplementary angles.

A rhombus shape has also been named a diamond. Its properties are as follows:

The measure of one of the angles = 130 degrees

The angle x is supplementary to the given angle. So, their sum is 180 degrees. I.e.,

130 + x = 180

⇒ x = 180 -130

⇒ x = 50°

Thus, the measure of the angle x is 50°.

Learn more about the shape rhombus here:

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The missing parts of the table for [tex]\( x = 0 \)[/tex] and [tex]\( x = 3 \)[/tex] are 1 and 216, respectively.

Let's solve for the missing values step by step.

The function given is [tex]\( y = 6^x \)[/tex]. This means that for each value of [tex]\( x \)[/tex], [tex]\( y \)[/tex] will be [tex]\( 6 \)[/tex] raised to the power of [tex]\( x \)[/tex].

Step 1: Solve for [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]

The exponent law states that any number raised to the power of 0 is 1. Therefore:

[tex]\( y = 6^0 = 1 \)[/tex]

Step 2: Solve for [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex]

To find [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex], we simply raise 6 to the power of 3:

[tex]\( y = 6^3 = 6 \times 6 \times 6 = 216 \)[/tex]

So, the completed table should look like this:

[tex]$\begin{array}{rrrrrrr}x & -2 & -1 & 0 & 1 & 2 & 3 \\ y & \frac{1}{36} & \frac{1}{6} & 1 & 6 & 36 & 216\end{array}$[/tex]

Answer:

4 3/8 yards.

Step-by-step explanation:

1 7/8 + 2 1/2

= 15/8 + 5/2

Make the denominator 8 in both cases ( The LCM = 8):

= 15/8 +  20/8

= 35/8

= 4 3/8.

The in-line skates will cost $99.891 with the discount.

To find the cost of the in-line skates with the discount, we need to calculate the amount of the discount first. The discount is 10% of the original price, which is $110.99. To calculate the discount amount, we can multiply the original price by 0.10. The discount would be $110.99 x 0.10 = $11.099. The discounted price would be the original price minus the discount amount, so the discounted price would be $110.99 - $11.099 = $99.891.

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

Answer:

Exterior angle = 45°

Step-by-step explanation:

We know that the sum of exterior angles of a polygon is 360 degrees.

Since here we a regular polygon with eight sides (which makes it an octagon) so this means that the interior angles each would be equal to:

[tex]\frac{(n - 2) \times 180}{n} \\ \frac{(8 - 2) \times 180}{8}\\ \frac{6 \times 180}{8} \\ \frac{1080}{8} [/tex] = 135 degrees

We know that each interior angle is supplementary to the exterior angle at the vertex.

So each exterior angle = [tex]180-135[/tex] = 45 degrees

Answer:

0.6389

Step-by-step explanation:

This question is on a rectangle distribution

We apply; Area × probability

9× height = 1 unit square................find the height of the rectangle

h=1/9

The waiting time greater than 3.25  will be = 9-3.25= 5.75

P(time> 3.25 minutes) = 5.75 × 1/9 = 0.6389

Answer:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4} \implies 2^{-32}[/tex]

2. [tex]2^4 . (2^2)^{-2} \implies 1[/tex]

3. [tex](-2^{-4}).(2^2)^0 \implies -2^8[/tex]

4. [tex](2^2).(2^3)^{-3} \implies 2^{-5}[/tex]

Step-by-step explanation:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4}[/tex] :

[tex] = \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}[/tex]

2. [tex] 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } [/tex] :

[tex]= 2^4 \times \frac{1}{2^4} = 1[/tex]

3. [tex](-2^{-4}).(2^2)^0[/tex] :

[tex]= (-2^4)^2 \times 1 = -2^8[/tex]

4. [tex](2^2).(2^3)^{-3}[/tex] :

[tex]= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}[/tex]

Answer:

The answer is 1-2 2-4 3-4 and 4-3

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

22 is the coefficient.

Step-by-step explanation:

Because the coefficient is always beside the variable

For Ex: 10x

where x is your variable and 10 is your coefficient.

Hope my answer has helped you!

Answer:

C

Step-by-step explanation:

x apples cost 80

1 apple  costs 80/x

5 apples costs 80*5/x = 400/x

The same calculation works for the oranges.

y oranges cost 75

1 orange = 75/y

6 oranges = 75*6/y

6 oranges = 450/y

The total cost is 450/y + 400/x which is C

Answer: X=1 Is the answer on edge 2023 :)

Step-by-step explanation: X=1

To solve the equation 62x - 3 = 6 - 2x + 1x, combine like terms, add and subtract terms to isolate x, and simplify the solution.

To solve the given equation, 62x - 3 = 6 - 2x + 1x:

Therefore, the solution to the equation is x = 9 / 64.

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras

If the square of the longest side equals the sum of the squares on the other 2 sides then the triangle is right.

longest side = 39

39² = 1521

36² + 15² = 1296 + 225 = 1521

The triangle is right since 36² + 15² = 39²

Answer:

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

[tex]a^2+b^2=c^2[/tex]

We have

[tex]a=15\ in,\ b=36\ in,\ c=39\ in[/tex]

Check the equality:

[tex]L_s=15^2+36^2=225+1296=1521[/tex]

[tex]R_s=39^2=1521[/tex]

[tex]L_s=R_s[/tex]

It's a right triangle.

Answer:

Option C is correct.

Step-by-step explanation:

The last step is y+0 =y

This represents additive identity property.

This property states if zero is added to any number we get the same number.i.e if 0 is added to y then we get y (y+0=y)

So, Option C is correct

Final answer:

The missing reason in the proof that demonstrates –(–y – x) – x equals y is the Additive Identity Property, which indicates adding zero to a number does not change its value.

Explanation:

The question refers to a series of algebraic manipulations with the aim of proving the equation –(–y – x) – x = y. The final step in the proof involves the simplification of y + 0 to y. The correct reason for this step is the Additive Identity Property, which states that adding zero to any number does not change the value of that number. Therefore, the missing reason in the proof is option C.

Answer:

Step-by-step explanation:

She likely has more books than the Library of Congress.

First of all you have to take 1/2 the number

(1/2) 392,396 = 196198

sqrt(196198) = 443 rounded to the nearest whole number.

Answer:

The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.

2/1.5=1.3

9/1.5=6

18/1.5=12

Hope this helps!

Step-by-step explanation:

Answer:

T.A. = 144 + 36√3

Step-by-step explanation:

The pyramid has a regular triangle for a base.  The other three faces are isosceles triangles.

The height of base can be found by dividing it into two right triangles.  We can either use properties of a 30-60-90 triangle, or use Pythagorean theorem.

h = 6√3

So the area of the base is:

A = 1/2 bh

A = 1/2 (12)(6√3)

A = 36√3

Similarly, the height of the three isosceles triangles can be found by dividing them into two right triangles and using Pythagorean theorem.

h = √(10² - 6²)

h = 8

So the area of the isosceles triangles is:

A = 1/2 bh

A = 1/2 (12)(8)

A = 48

So the total surface area of the pyramid is:

T.A. = 3(48) + 36√3

T.A. = 144 + 36√3