Mike is making a pen for his dog. He wants the pen to be 10X24 feet. Fencing costs
$5.00 a foot. How much will Mike's fence cost?

Answer:

to Write 63 as a product of prime factors, write the factors in ascending order

63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7

Step-by-step explanation:

Answer:

Jamal's age = 2×x+12= 2x+12

sum og ages = 45

2x+12+x= 45

=3x+12=45

=45-12= 3x

= 32=3x

x= 32/3= 10.67

2x+13 =21.34+12= 33.34

hope.ot helps

plz mark as brainliest

(a) This statement is false. The probability of getting heads or tails on a fair coin is always 50%, regardless of previous outcomes.  

(b) This statement is true. Drawing a face card and drawing a red card from a full deck of playing cards are mutually exclusive events.

(a) The statement is false. The outcome of each coin toss is independent of the previous tosses. Therefore, the chance of getting heads on the next toss is still 50%, regardless of the outcome of the previous eight tosses.

(b) The events of drawing a face card and drawing a red card are not mutually exclusive events. There are 12 face cards in a deck of playing cards, and 6 of them are red (2 jacks, 2 queens, and 2 kings). Therefore, the probability of drawing a face card and a red card from a full deck of playing cards is:

P(face card and red card) = P(face card) x P(red card|face card)
P(face card and red card) = (12/52) x (6/12)
P(face card and red card) = 3/52 or about 5.77%

To learn more about probability visit;

https://brainly.com/question/30034780

#SPJ11

Answer:

light blue the second

Step-by-step explanation:

The volume of the cone is approximately 58.107 ft³.

Given:

Radius, r = 3.4 ft

Height, h = 4.8 ft

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base of the cone and h is the height of the cone.

Using the given values in the formula, we can calculate the volume of the cone:

V = (1/3)π(3.4²)(4.8)

= (1/3)π(11.56)(4.8)

= (1/3)(3.1416)(55.4688)

≈ 58.107 ft³

Therefore, the volume of the cone is approximately 58.107 ft³.

The correct answer is A) 58.107 ft³.

Learn more about the volume of the cone here:

brainly.com/question/1578538

#SPJ1

If the length of the rectangle was 2/3 of a yard and the width of the rectangle was 3/4 of a yard, then the area of the rectangle is 1/2 or 0.5 square yard.

To find the area of Martha's rectangle, we need to multiply the length by the width.

Given that the length of the rectangle is 2/3 of a yard and the width is 3/4 of a yard, we can calculate the area as follows:

Area = Length × Width

Area = (2/3 yard) × (3/4 yard)

To simplify the calculation, we can first multiply the numerators and denominators separately:

Area = (2 × 3) / (3 × 4) yard²

Area = 6/12 yard²

Since the numerator and denominator have a common factor of 6, we can simplify further:

Area = 1/2 yard²

Therefore, the area of Martha's rectangle is 1/2 square yard.

If you prefer a decimal approximation, 1/2 yard² is equal to 0.5 square yards.

So, the area of Martha's rectangle is 1/2 or 0.5 square yard.

To know more about rectangles, click here: brainly.com/question/8663941

#SPJ11

Answer:

102

Step-by-step explanation:

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

Read more about equation at

https://brainly.com/question/13729904

#SPJ1

Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

The measure of the arc is:

x = 120°

The arc of a circle is the part or segment of the circumference of a circle. A straight line drawn by connecting the two ends of the arc is called chord of a circle.

Check the attached image for labeling.

y = 180° (semicircle)

The measure of inscribed angle is half the measure of its intercepted arc. That is:

30° = 1/2 * U

U = 2 * 30

U = 60°

x = 360 - U - y  (sum of angles in a circle is 360°)

x = 360 - 60 - 180

x = 120°

Learn more about arcs on:

brainly.com/question/31105144

#SPJ1

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

If you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test. This statement is True.

What is partial F-test?

A partial F-test is used to determine whether or not there is a statistically significant difference between a regression model and some nested version of the same model.

A nested model is simply one that contains a subset of the predictor variables in the overall regression model.

Partial F-test is a statistical analysis used in multivariate linear regression to determine independent variables are to be considered when fitting a multivariate linear regression mode.

This is necessary because if too many variables are considered, then the model would be too complex. On the other hand, if too few variables are used, then we may get a very weak fit.

Hence if you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test.

The given statement is true.

To know more about partial F-test here

https://brainly.com/question/14338586

#SPJ4

Answer: 63

Step-by-step explanation:

You can put this solution on YOUR website! Hi there, 2/3 = 42. Multiply 42 by 3 = 126. Divide 126 by 2 = 63. The lady's age. 63yrs old. Proof: 2/3 x 63

Answer:

63

Step-by-step explanation:

42 / 2 = 21

21 * 3 = 63

If 42 is two thirds, then one third is 21 because (2/3) / 2 = 1/3.

If 21 is one third, then the whole is 63 because (1/3) * 3 = 1.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed

The objective function is a mathematical expression used to represent the goal of a problem in terms of one or more variables. In finance, the objective function is used to represent the goal of maximizing returns.

The distribution of returns is an important factor to consider when creating an objective function for an investment portfolio. Returns are the gains or losses an investor makes on his investments. The distribution of returns refers to the way in which these returns are distributed in the portfolio.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed. A normal distribution is a bell-shaped curve that represents the distribution of data in a population. In finance, normal distributions are used to model portfolio returns because they ensure a good approximation of how returns are distributed across a wide range of investments.

See more information about objective function in: https://brainly.com/question/26100401

#SPJ11

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Choice C, 9, 12, 15, forms a right triangle.

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

<95141404393>

The language p is closed under union, concatenation, and complement, as the union of two languages in p, the concatenation of two languages in p, and the complement of a language in p all remain in p.

To prove that a language p is closed under union, concatenation, and complement, we need to demonstrate that the result of each operation on languages in p remains in p.

1. Union: Let L1 and L2 be two languages in p. We need to show that their union, L1 ∪ L2, is also in p. Since both L1 and L2 are in p, it means that every string in L1 and L2 satisfies the property defined by p.

By taking the union, we combine all the strings from L1 and L2, which still satisfy the same property. Therefore, L1 ∪ L2 is also in p.

2. Concatenation: Let L1 and L2 be two languages in p. We want to prove that their concatenation, L1 · L2, is in p. For every string in L1 · L2, it can be split into two parts, one from L1 and the other from L2.

Since both L1 and L2 satisfy the property defined by p, it follows that the strings in L1 · L2 also satisfy the property. Hence, L1 · L2 is in p.

3. Complement: Let L be a language in p. We need to show that its complement, ¬L (all strings not in L), is in p. Since L satisfies the property defined by p, the complement of L will consist of all strings that do not satisfy that property.

However, p is closed under complement, which means that every language in p also satisfies the property of p. Therefore, ¬L is also in p.

In conclusion, we have shown that p is closed under union, concatenation, and complement.

To know more about union refer here:

https://brainly.com/question/32325754#

#SPJ11

Answer: 51g : 26g

Step-by-step explanation:

       First, we need to find out what "the rest" is, since that is sugar. We will subtract the grams of strawberries and blackberries from the total grams of sugar.

100g - 23g - 51g = 26 g

       Now, the ratio asks for blackberries to sugar.

Blackberries : Sugar

51g : 26g

      Lastly, it asks for the simplest form. This ratio is already in the simplest form.

51g : 26g

To calculate the gross profit percentage, we need to use the following formula:

Gross Profit Percentage = (Gross Profit / Net Sales) * 100

For Ziehart Pharmaceuticals:

Net Sales = $178,000

Cost of Goods Sold = $58,000

Gross Profit = Net Sales - Cost of Goods Sold

Gross Profit = $178,000 - $58,000

Gross Profit = $120,000

Gross Profit Percentage for Ziehart Pharmaceuticals = (120,000 / 178,000) * 100

Gross Profit Percentage for Ziehart Pharmaceuticals ≈ 67.4%

For Candy Electronics Corp:

Net Sales = $36,000

Cost of Goods Sold = $26,200

Gross Profit = Net Sales - Cost of Goods Sold

Gross Profit = $36,000 - $26,200

Gross Profit = $9,800

Gross Profit Percentage for Candy Electronics Corp = (9,800 / 36,000) * 100

Gross Profit Percentage for Candy Electronics Corp ≈ 27.2%

Therefore, the gross profit percentage for Ziehart Pharmaceuticals is approximately 67.4%, and the gross profit percentage for Candy Electronics Corp is approximately 27.2%.

Learn more about Gross Profit Percentage here:

https://brainly.com/question/32768538

#SPJ11

Answer:

think its B

Step-by-step explanation:

im doing the test

Answer:

Step-by-step explanation:

its b

The commission earned are R41123.17, R47931.67 and R15024.09

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

Read more commission at:

https://brainly.com/question/20987196

#SPJ1

Answer:   47.5% of 1600= 760 males   which means 840 are females

Step-by-step explanation:

Answer:

53.5 percent.

Step-by-step explanation:

100-47.5=53.5 percent.

Do not copy mines or I will report you.

Answer:

the correct answer is 20 .

Step-by-step explanation:

x^2 - ( x + 4 ) - y = ?

6^2 - ( 6 + 4 ) - 6 = ?

36 - ( 10 ) - 6 = ?

26 - 6 = 20

Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

To know more about inequality visit:-

https://brainly.com/question/28823603

#SPJ11

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

Answer:

-1/2

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.  This math problem is already in the slope-intercept form so we can just grab the "m" value:

y   =   m      x   +   b

y  =   -1/2    x   +  1/4

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

Learn more about Quadratic equation: https://brainly.com/24334139

#SPJ1