Sheryl purchased a plot of land for $32,500. The land appreciates about 4.9% each year. What is the value of the land after eleven years?

Answer:

Length of the rectangular prism = 4 meters

But other possible values = (-5meters or - 9 meters)

Step-by-step explanation:

The volume of a rectangular prism = Length × Width × Height

From the question above,

Length = x meters

Width = x - 1 meters

Height = x + 11 meters

Volume of the Rectangular prism = 180 cubic meters

Hence,

(x) × (x - 1) × (x + 11) = 180

We expand the brackets

(x)(x - 1) (x + 11) = 180

x² - x(x + 11) = 180

x² (x + 11) - x(x + 11) = 180

x³ + 11x² - x² + 11x =180

x³ +10x² - 11x = 180

x³ + 10x² - 11x -180 = 0

The above is a polynomial

We solve this polynomial to find x

x³ + 10x² - 11x -180 = 0

(x - 4)(x + 5) (x + 9) = 0

x - 4 = 0

x = 4

x + 5 = 0

x = -5

x + 9 = 0

x = -9

We are asked to find the various values for the length hence,

From the above question, we are told that

Length = x meters

Therefore, the length of this rectangular prism = 4 meters or -5 meters or -9 meters.

Answer:

(1, 4)

Step-by-step explanation:

Answer:

Any equation shown in the explanation

Step-by-step explanation:

Hello!

Combining like terms means combining terms with the same variables.

So combing all x's, all y's, all numbers, etc.

2/3x - 9 - 2x + 2 = 1

combine the x's

-1 1/3 x - 9 + 2 = 1

combine normal numbers

-1 1/3 x - 7 = 1

Add 7 to both sides

-1 1/3x = 8

Make mixed number into improper fraction

-4/3x = 8

Multiply both sides by 3

-4x = 24

Divide both sides by -4

x = -6

The answer would be any of the equation I showed above

Hope this helps!

Answer:

Hey there!

Length: [tex]l\\[/tex]

Width: [tex]1/3l-1[/tex]

Expression to find the area: [tex]l(1/3l-1)[/tex], or [tex]1/3l^2-l[/tex].

Expression to find the perimeter: [tex]2l+2(1/3l-1)[/tex], or [tex]8/3l-1[/tex].

Perimeter divided by area: [tex]\frac{\frac{8}{3}l-1 }{1/3l^2-l}[/tex]

Let me know if this helps :)

Answer:

The number of ways to distribute 30 batteries among the six different types is 33,649.

Step-by-step explanation:

It is provided that a camera shop stocks six different types of batteries, one of which is type A7b.

Also, the camera shop has only twelve A7b batteries but at least 30 of each of the other types.

Combinations would be used to determine the number of ways to distribute 30 batteries among the six different types. Here repetition is allowed.

[tex]C(n+r-1, r)={n+r-1\choose r}=\frac{(n+r-1)!}{r!(n-1)!}[/tex]

The number of A7b batteries is 12.

Then the number of ways to distribute 30 batteries among the six different types is:

[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}[/tex]

The number of ways is:

[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}[/tex]

                                          [tex]=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}\\\\=\frac{(6+(30-12)-1)!}{(30-12)!\times (6-1)!}\\\\=\frac{23!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19\times 18!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19}{ 5!}\\\\=33649[/tex]

Thus, the number of ways to distribute 30 batteries among the six different types is 33,649.

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs ([tex]n[/tex]) after a certain amount of years (t) is given by the following formula:

[tex]n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t[/tex]

Where:

[tex]n_{o}[/tex] - Initial amount of jobs in pipe fitting industry, measured in thousands.

[tex]\frac{\Delta n}{\Delta t}[/tex] - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If [tex]n_{o} = 546.5[/tex], [tex]t = 2025-2015 = 10\,years[/tex] and [tex]\frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}[/tex], then:

[tex]n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)[/tex]

[tex]n = 516.5[/tex]

The percent change in jobs from pipe fitting industry is calculated as follows:

[tex]\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%[/tex]

[tex]\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%[/tex]

[tex]\%n = 5.5\,\%[/tex]

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Answer:

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles, we will compare both equations with the general form of the equation above as shown;

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

Hence the equation of the line containing the centers of the two circles is 3y+x = -5

Answer:

x = 1/25

Step-by-step explanation:

2/5x+1/x=35

[tex]2/5x+1/x=35[/tex]

taking 1/x common

[tex]1/x(2/5+1)=35[/tex]

[tex](2+5)/5=35x\\7/5 = 35x\\x = 7/(5*35) = 1/(5*5) = 1/25[/tex]

Thus, value of x is 1/25

Answer:

a) State the random variable

Random variable : x

which refers to a randomly selected student from the college that is left-handed.

b) state population parameter

population parameter : P

which is the percentage of all students from the college that are left handed

c) state the hypotheses

The hypothesis are;

Null hypothesis                H₀ : p = 0.11

Alternative hypothesis    H₁ : p > 0.11

d) State the Type I error in the context of this problem.

Type - I Error: Rejecting that the % of all the students from the college that are left-handed is 11% when actually the % is really 11%

(Reject H₀ when H₀ is true)

e) State the Type 11 error in the context of this problem

Type-II Error: Failing to Reject that the % of all the students from the college that are left-handed is 11% when the % is really higher than that

(Fail to reject H₀ when H₀ is false)

Answer:

Decimal

Step-by-step explanation:

When using decimals the bigger number is greater.

Example) .3 > .2

If there are more 0's in front of the number in a decimal it is smaller.

Example) .003 > .0003

The reason why it is harder to visualize that a fraction is greater is because there are two numbers to look at. You basically have to take an extra step and divide.

Answer:

m<FEH = 15

Step-by-step explanation:

We can find angle G

The three angles of a triangle add to 180

90 + 75+ G = 180

165 + G = 180

G = 180-165

G = 15

Since the triangles are similar, <E = <G

<E = 15

So m<FEH = 15

Answer:

m>FMH

Step-by-step explanation:

Answer: 7.5

Step-by-step explanation:

All you have to do is divide the base/width by area.

Answer:

The answer is

Step-by-step explanation:

Area of a rectangle = length × width

From the question

Area = 90 in²

Width = 12 in

To find the length substitute these values into the formula and solve for the length

We have

90 = 12l

Divide both sides by 12

[tex] \frac{12l}{12} = \frac{90}{12} [/tex]

We have the final answer as

Hope this helps you

Answer:

d) 205

Step-by-step explanation:

Step(i):-

x             :   100      150      200      250      300

p(X=x)    :   0.10     0.20    0.30     0.30      0.10

Step(ii):-

Let 'X' be the discrete random variable

Expected value of the random variable

   E(X) = ∑ x P(X=x)

           =  100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10

          =   205

Final answer:-

The expected value     E(X) = 205

Answer:

d ≈ 7.280 units

Step-by-step explanation:

(-5, 1) & (2, -1)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(2 + 5)² + (-1 - 1)²]

d = √[(7²) + (-2²)

d = √(49 + 4)

d ≈ 7.280

Answer:

Step-by-step explanation:

hello, you know that

[tex]\sqrt[5]{x^5}=x[/tex]

so, I can write

[tex]\sqrt[5]{2^5}=\sqrt[5]{32}=2\\\\\sqrt[5]{3^5}=\sqrt[5]{243}=3\\\\\sqrt[5]{4^5}=\sqrt[5]{1024}=4\\\\\sqrt[5]{5^5}=\sqrt[5]{3125}=5[/tex]

So, the winners are 32, 243, 1024, 3125 !!

You know that [tex]i^2=-1[/tex], right?

[tex]\sqrt{-9}=\sqrt{(3i)^2}=3i[/tex]

So, the answer is 3i

Thank you

Answer:

Part A: The student forgot to distribute the subtraction across the entire polynomial.

Part B: 8[tex]x^{2}[/tex]-6[tex]x^{2}[/tex]-7x+x-2-3 = 2[tex]x^{2}[/tex]-6x-5

Part C: The terms are 2[tex]x^{2}[/tex], -6x, and -5. The coefficient of [tex]x^{2}[/tex] is 2. The coefficient of x is -6.  

Step-by-step explanation:

Part A: When subtracting polynomials you have to make sure the subtraction is distributed to every term in the second polynomial.

Part B: Distributing the subtraction across the entire term we see that we need to subtract 6[tex]x^{2}[/tex], add x, and subtract 3. Then we just do the math and we get the answer.

Part C: Since they're asking for the simplified polynomial, they want the answer to the subtraction problem.  The terms are separated by + and - signs and the coefficients  are the numbers being multiplied against variables.

Answer:

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

Answer: (-6, 1)

The coordinates are (-6, 1).

When a point divides a line segment externally or internally in some ratio, we use the section formula to find the coordinates of that point. It is a handy tool used to find the coordinates of the point dividing the line segment in some ratio. This section formula can also be used to find the midpoint of a line segment and for the derivation of the midpoint formula as well.

Given:

D(-1,11) and F(-9,-5)

DE : DF is 5:8

So,

DE: EF= 5 : 3

Using section formula

x= 3*(-1) + 5*(-9)/5+3

x= -3 -45 /8

x= -48/8

x= -6

and,

y= 3*11 + 5*(-5) / 8

y= 33-25/8

y= 8/8

y=1

Hence, the coordinates are (-6, 1).

Learn more about section formula here:

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Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers." There is no value of x for which y is undefined.

Answer:

The answer is Zero ( 0 ).

Answer: 80

Step-by-step explanation:

A) The first domino is 3, the second is 4. Hence 34.

B) The first domino is 5, the second is 1. Hence 51.

C) The first domino is 6, the second is 11. Hence 71.

D) The first domino is 7, the second is 10. Hence 80.

Answer:

Reflect of X-axis -> diolate by a factor of 2

Remember to say thanks and mark brainliest

The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2

What is Reflection and Dilation?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be ΔABC

Now , the coordinates of the triangle ABC is given as

A = A ( -4 , 2 )

B = B ( -2 , 4 )

C = C ( 0 , 2 )

And , the triangle be ΔDEF

Now , the coordinates of triangle DEF is given as

D = D ( -8 , -4 )

E = E ( -4 , -8 )

F = F ( 0 , -4 )

Now , on reflecting the triangle ABC along the x-axis , we get

The reflected triangle be A'B'C' will be the reflection of point (x, y) across the x-axis is (x, -y)

So ,

A' = A' ( -4 , -2 )

B' = B' ( -2 , -4 )

C' = C' ( 0 , -2 )

Now , on dilating the triangle A'B'C' with a scale factor of 2 , we get

D = 2 x A'

D = D ( -8 , -4 )

E = 2 x B'

E = E ( -4 , -8 )

F = 2 x C'

F = F ( 0 , -4 )

Therefore , the coordinates of the triangle DEF is

D = D ( -8 , -4 )

E = E ( -4 , -8 )

F = F ( 0 , -4 )

So , the triangle ABC is transformed into triangle DEF by a reflection across x-axis and a dilation by a scale factor of 2.

Hence , The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2

To learn more about reflection and dilation click :

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Answer:

a is the right answer

Step-by-step explanation:

please give 5 star i need it

Answer:

Graph the parent function f(x)=ln and translate all points 4 to the left and 5 up

Step-by-step explanation:

Step-by-step explanation:

Some of the property of log are as follows :

1. [tex]\text{log a}-\text{log b}=\text{log} \dfrac{\text{a}}{\text{b}}[/tex]

2. [tex]\text{log a}+\text{log b}=\text{log}(a{\cdot} b)[/tex]

3. [tex]\text{log}a^n=n\ \text{log} a[/tex]

Now coming to question,

(a) [tex]\text{log 5}-\text{log 8}=\text{log} \dfrac{\text{5}}{\text{8}}[/tex] (using property 1)

(b) [tex]\text{log 1}+\text{log 3}=\text{log}(1{\cdot} 3)=\text{log} 3[/tex] (using property 2)

(c) [tex]\text{log} 4=\text{log} 2^2=2\ \text{log} 2[/tex] (using property 3)

Hence, this is the required solution.

Answer:

There is sufficient evidence that there is linear  correlation between two variable

Step-by-step explanation:

From the question we are told

   The significance level is  [tex]\alpha = 0.01[/tex]

   The critical value  is  [tex]a = 0.590[/tex]

   The  test statistics is  [tex]r = 0.591[/tex](linear correlation coefficient )

Now  from the data given in the value we see that

     [tex]r > a[/tex] so  the null hypothesis is rejected

Hence the conclusion is that there is  sufficient evidence that there is linear   correlation between two variable  

Answer:

Step-by-step explanation:

[tex] \sf{2(4x + 3)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{2 \times 4x + 2 \times 3}[/tex]

⇒[tex] \sf{8x + 6}[/tex]

Hope I helped!

Best regards!!

Answer:

your answer is 8x + 16

............

Answer: d) Neither of the answers are correct

Step-by-step explanation:

Law of Cosines: a² = b² + c² - 2bc · cos A

Note: The letters can be swapped but the letters on the outside must be the same.

Answer: B. a = b .

First of all, let's think that a is equal to b.

Then, let's link up these two triangles.

Now, we have a parallelogram.

x+y = a+60

and 75 = b . So, a = b. Then, a is also = 75.

Now apply the basic triangle rule.

75+75+x=180 .. x = 30 degree.

and for the other triangle....

y+75+60=180 .. y= 45 degree...

Now, let's consider that we want to write a as b.

So, x+b+75=180 ...x+b=105

and..

y+b+60=180...y+b = 120..

Then, let's exit the b from these two equations.

-1/  x+b=105

    y+b=120

Finally, we found this: y-x =15

and we have already found y and x values.

y was 45 and x was 30 degree.

So when we put these two numbers into that equation y-x=15

we found the value of 15.

So, our answer is a=b.

Answer:

[tex]\huge \boxed{\mathrm{B.} \ a=b}[/tex]

Step-by-step explanation:

The two triangles form a parallelogram.

A parallelogram has opposite angles equal.

75 = b

Adjacent angles in a parallelogram are supplementary to one another.

They add up to 180 degrees.

a + 60 + 75 = 180

a + 135 = 180

Subtract 135 from both sides.

a = 75

Therefore, a = b.

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a  calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

Answer:

3 ÷ 162 = 0.01851851851

If you meant 162 ÷ 3 it is 54

If niether of the two answers above didnt answer your question, then sorry

Answer;

=-6p-10

Step-by-step explanation:

Lesson: It's about the using properties to simplify expression.

First, you apply by the rule.

-12-6p+2

Then, subtract by the numbers.

-12-6=-6

-6p-12+2← (group like terms)

And finally, add or subtract by the numbers.

-12+2 =-10

12-2=10

Answer:  -6p-10

Hope this helps!

Answer:

π

Step-by-step explanation:

Any other irrational number, actually, so √2 would also do the trick.

Answer:

Pi, since pi is irrational

Step-by-step explanation:

Any irrational number, such as √2