What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4

The total perimeter of the given composite figure is; 74.55 meters

The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.

To find Perimeter of rectangle :

Length of the rectangle = 18 m

Width of the rectangle = 15 m

Perimeter = (2 × Length) + Width

Perimeter = (2 × 18) + 15

Perimeter = 36 + 15

Perimeter = 51 meters

To find perimeter of semi-circle :

Radius of semi-circle = 15/2 = 7.5 m

Perimeter of semi-circle = π × radius

Perimeter = 3.14 × 7.5

Perimeter = 23.55 meter

So, Total Perimeter of the figure = 51 + 23.55

= 74.55 meter

Read more about perimeter of composite figure at; https://brainly.com/question/28838199

#SPJ1

The estimated total percentage of complaints about parking difficulties and the location of the store is 60%.

To estimate the total percentage of complaints about parking difficulties and the location of the store, we need to sum up the number of complaints related to these two factors (Difficulty Parking and Isolated Location) and divide it by the total number of complaints.

Then we can multiply the result by 100 to get the percentage.

Given the complaint numbers:

Difficulty Parking:

250 complaints

Isolated Location:

200 complaints

Total complaints:

250 + 200 + 150 + 100 + 50 + 0 = 750 complaints

Percentage of complaints about parking difficulties and store location:

(250 + 200) / 750 × 100 = 450 / 750 × 100

= 0.6 × 100

= 60%

For similar questions on percentage

https://brainly.com/question/24877689

#SPJ11

The largest interior angle of the triangle is the angle A

The side lengths of the triangles are given as

b = 10 cm

a = 14 cm

The other side length is not given

So, we solve the question using the two side lengths

Having said that:

The general rule is that; the higher the side length, the larger the angle

14 cm is greater than 10 cm

This means that the angle A is greater than the angle B

Read more about triangles at

https://brainly.com/question/19387653

#SPJ1

Answer:

(-3) - (-6) = -3+6 = 6-3 = 3

Step-by-step explanation:

Step-by-step explanation:

= -6 - (-3)

= -6 + 3

= -3

-6 change into -3

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

\(x+300=500\)

To solve this, we can just do 500 - 300.

\(500-300=200\\x=200(ANSWER)\)

Hope this helps!

\(-TestedHyperr\)

Answer:

b

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

If you want to form a square of 7500 soldiers, the side of the square must be \(\sqrt{7500}\approx86.6\) soliders.

But since you cannot have 0.6 solider, the general needs to find the closest perfect square to the number 7500 which is less than 7500.

That number is 7396 which when square rooted gives 86 soliders on the side.

Subtract 7396 from 7500 and get how many soliders were left out,

\(7500-7396=\boxed{104}\)

Hope this helps :)

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

Learn more on equations of conic sections here: https://brainly.com/question/30989935

#SPJ1

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

Answer:

the first one 9,9,1

Answer:

its the third one

Step-by-step explanation:

the first one is 9x9x1 which equals=81   and second one is 7x8x2= 112   and third one is 5x5x5= 125  and last one quals 108  so the greatest number has to be the third one. hoped i help have a nice day ^-^

The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Learn more about line intercepts here: https://brainly.com/question/28161071

#SPJ1

A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

Read more about mappings, functions and relations at:

https://brainly.com/question/8892191

Answer:

teds sister is 60 years old, ted is 120 some how, and joe is 123.

Step-by-step explanation:

half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.

=================================================

Work Shown:

i = p*r*t

85 = 2000*r*0.5

85 = 1000r

1000r = 85

r = 85/1000

r = 0.085

The APR is 8.5%

---------------

Side note: I used t = 0.5 since 6 months = 6/12 = 1/2 = 0.5 years

Answer:

single payment variable annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Single payment variable annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

C. Domain : {Gem, Hesh, Sam}

Range : {Gale, Abby, Beni}

B. The relation in the figure is a function because each element in the range corresponds to exactly one element in the domain.

Step-by-step explanation:

The figure of the mapping is attached below.

From the diagram, the domain for the relation is the set of Fathers:

{Gem, Hesh, Sam}

The range is the set of Sons:

{Gale, Abby, Beni}

The relation is a function. This is because each element in the range corresponds to exactly one element in the domain.

Answer:

5.5inches

Step-by-step explanation:

1331/8=166.375

then length of a side is = cubic root of 166.375

=³√166.375

5.5

Answer:

≈ 10

Step-by-step explanation:

Step 1: Round 68.41

68

Step 2: Round 57.570

58

Step 3: Subtract

68 - 58 = 10

Answer:

10

Step-by-step explanation:

68.41 - 57.570

Round the terms to the nearest whole number.

68 - 58

Subtract the two terms.

= 10

Answer:

squares.com

Step-by-step explanation:

i dont really know what "square" you are talking about, but if it is this hope it helps!

https://www.mathsisfun.com/square-root.html

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-difference-squares/e/factoring_difference_of_squares_2

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/e/factoring-perfect-squares

:)

Answer:

The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.

The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).

Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.

EXPLANATION

Given the function:

We can see that it has an Absolute minimum in (3,-3) and No absolute maximum.

Answer:

A. -510

Step-by-step explanation:

We are given the variable values:

Geometric series formula:

\(s = \frac{a( {r}^{n} \times - 1) }{r - 1} \)

Plugging in values we have:

\(s = \frac{ - 2( {2}^{8} - 1) }{2 - 1} \)

Simplifying the equation we are left with:

\( \frac{ - 2(255)}{1} = - 510\)

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

Answer:

Slope m=2, y-intercept b=5 --> y=2x+5

Slope m=3, y-intercept b=5 --> y=3x+5

Slope m=5, y-intercept b=4 --> y=5x+4

Step-by-step explanation:

The slope number goes with x, and the y-intercept gets either added or subtracted from the end of the equation depending on weather it's positive or negative. (subtracted if it's negative and added if it's positive)

The z-score for a score 15 points below the mean in a normal Distribution with a standard deviation of 10 is -1.5.

To find the z-score for a score 15 points below the mean in a normal distribution, we need to know the mean of the distribution. The z-score is a measure of how many standard deviations a particular score is from the mean.

Let's assume the mean of the normal distribution is denoted by μ. Since we know the standard deviation is 10, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where x is the given score, μ is the mean, and σ is the standard deviation.

In this case, the given score is 15 points below the mean, so we can represent it as x = μ - 15. Substituting these values into the formula, we get:

z = (μ - 15 - μ) / 10

 = -15 / 10

 = -1.5

Therefore, the z-score for a score 15 points below the mean in a normal distribution with a standard deviation of 10 is -1.5.

The negative sign indicates that the score is below the mean, and the value of 1.5 indicates that the score is 1.5 standard deviations below the mean.

For more questions on Distribution .

https://brainly.com/question/29368683

#SPJ8

Answer:

90 ft³

Step-by-step explanation:

V = LWH

V = (2 ft)(3 ft)(1 ft)

V = 6 ft³

Each planter has a volume of 6 ft³.

total volume = 15 × 6 ft³ = 90 ft³