The base of the parallelogram has a length of 10 cm what is the height 10 cm 12 cm or 14 cm 

Answer:

Ruby has 11 pennies and 15 nickels.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The worth of a penny is 1 cent. Converting to dollars, it becomes

1/100 = $0.01

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of pemnies that Ruby has.

Let y represent the number of nickels that Ruby has.

She has 4 more nickels than pennies. This means that

y = x + 4

Ruby has $0.86 worth of pennies and nickels. This means that

0.01x + 0.05y = 0.86 - - - - - - - - - - - 1

Substituting y = x + 4 into equation 1, it becomes

0.01x + 0.05(x + 4) = 0.86

0.01x + 0.05x + 0.2 = 0.86

0.06x = 0.86 - 0.2 = 0.66

x = 0.66/0.06

x = 11

y = x + 4 = 11 + 4

y = 15

To calculate the volume of a rectangular box, you multiply the lengths of its sides.

In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:

Volume = Length × Width × Height

Volume = 7 inches × 9 inches × 13 inches

Volume = 819 cubic inches

So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.

In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.

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Answer: x = 18

Step-by-step explanation:

x - 3 = 15

x = 15 + 3

x = 18

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Step-by-step explanation:

Given ,

≈> x – 3 = 15

•add 3 on both the sides

≈> x –3 + 3 = 15 + 3

≈> x = 18

The number of hours of practice is 3 x H.

An expression is a statement in mathematics that is made up of at least one numbers or variable. An expression is also made up of at least one mathematical operation. An expression does not have an equal to sign.

In order to determine the expression for the number of hours of practice, multiply the number of hours for one practice by the total number of practice. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

The sign used to denote multiplication is x. Number of hours of practice = hours of practice x number of practice 3 x H

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The expression that shows the number of hours of practice is 3 x H .

In mathematics, an expression is a sentence that is made up of numbers, at least one variable and a mathematical operation that connects either the numbers or the variables together. An expression does not have a equal to sign. An example of an expression is 3a + b.

In order to determine the number of hours of practice, multiply the length of the practice by the number of times she practiced last week. Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign that is used to represent multiplication is x.

Number of hours of practice x number of times Debbie practiced last week

3 x H

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Answer:

7; 40

Step-by-step explanation:

No symbol  for the term that you are solving for . I will use    β

V = βwh             Divide by (wh)

V/(wh) = β

β = V/(wh)

β = 735/(21 × 5) =   7

β = 3312/(11.5 ×7.2) = 40

Answer:

  190

Step-by-step explanation:

The even digits and 5 cannot be in the units place of any 2-digit prime. That means the sum must be ...

  (2 +4 +5 +6)×10 +(1 +3 +7 +9) = 170 +20 = 190

__

There are several ways the set of primes can be created. A couple are ...

  {23, 41, 59, 67} or {29, 47, 53, 61}

Answer: 190

Step-by-step explanation: i just did Aops

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

When a previous result is found to be an error and a corrected result is obtained, it is important to appropriately handle and document the old result. Here are some steps to consider:

1. Acknowledge the error: Clearly identify and acknowledge that the previous result was incorrect. It is important to be transparent and honest about the mistake.

2. Retract or correct the old result: Communicate the error and provide the corrected result. This can be done through formal channels, such as retracting a publication or notifying relevant parties about the correction. Make sure the corrected information reaches the appropriate audience.

3. Provide an explanation: Offer an explanation of why the error occurred. Was it a calculation mistake, data entry error, or any other factor that led to the incorrect result? Providing an explanation can help prevent similar errors in the future and maintain trust in the accuracy of your work.

4. Update relevant documentation: Update any reports, documents, or records that include the old result. Ensure that the corrected result is reflected in all relevant materials to avoid confusion and provide accurate information to others who may refer to those documents.

5. Learn from the mistake: Take the opportunity to learn from the error and implement measures to prevent similar mistakes in the future. This may include double-checking calculations, implementing quality control processes, or seeking feedback and review from colleagues.

By acknowledging the error, correcting the result, and taking steps to prevent similar mistakes in the future, you can maintain integrity and trust in your work.

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Answer:

$1.5

Step-by-step explanation:

Given:

p = 1.5l

Where,

P = price p of a piece of nylon rope ( in dollars )

l = number of meters (long)

1.5 = cost of the nylon rope per dollar

How much does the nylon rope cost?

The nylon rope cost $1.5

For instance,

If l = 4 meters, price of the nylon rope is?

p = 1.5l

= 1.5(4)

= 6

P = $6

The volume of the topographic globe is approximately 113097.6 cm³.

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

In this case, the topographic globe has a radius of 30 cm. Substituting this value into the formula, we have:

V = (4/3)π(30)³.

Simplifying the expression inside the parentheses:

V = (4/3)π(27000).

Now, we can calculate the volume by multiplying the constant (4/3)π with 27000:

V ≈ (4/3)π(27000) ≈ (1.333)(3.14)(27000) ≈ 113097.6 cm³.

Rounding to the nearest tenth, the volume of the topographic globe is approximately 113097.6 cm³.

Therefore, the volume of the topographic globe is approximately 113097.6 cm³.

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The value of the logarithmic expression  \(\log _a (\frac{x^3y}{z^4} )\) is 24.

Given the following logarithmic expressions \(\log _ax = 3, \log _ay = 7, \log _az = -2\) , we are to find the value of \(\log _a (\frac{x^3y}{z^4} )\)

from the above \(\log _ax = 3, x = a^3\)

\(\log _ay = 7, y = a^7\)

Substituting x = \(a^3\), y = \(a^7\)  and z = \(a^{-2}\) into the log function\(\log _a (\frac{x^3y}{z^4} )\)  we will have;

\(\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24\)

Hence, the value of the logarithmic expression is 24

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Answer:

42 3/4 ft²

Step-by-step explanation:

I don't know how to put this in words-

The weight of the cable Dustin is using would be 58.67 pounds.

As per the given statement, Dustin is using a cable to lift heavy equipment.

His company has a table of the weights of various lengths of cable.

If Dustin needs to use 88 feet of cable, Pounds will this cable weigh:

Let us find the solution to the problem given in the question.

The length of the cable Dustin is using is 88 feet.

Using the table given by his company, the weight of the 88 feet long cable can be determined.

Using the terms given in the question, the solution is as follows:

Dustin needs to use 88 feet of cable, and the weight of this cable can be found from the table given by the company.

If we look at the table, it is evident that there is a weight of 2 pounds for every 3 feet of cable, so the weight of the 88 feet of cable Dustin is using would be:

Pounds of 3 feet of cable = 2 pounds of 3 feet of cable.

Pounds of 1 foot of cable = (2/3) pounds of 1 foot of cable

So, the weight of 88 feet of cable = (2/3) × 88 = 58.67 pounds.

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Question: Dustin is using cable to lift heavy equipment. his company has a table of the weights of various lengths of cable. if dustin needs to use 88 feet of cable, how many pounds will this cable weigh?

Length of cable in feet: 5 15 25 35

Weight of cable in pounds: 24.4 73.2 122.0 170.0

Answer:

AC is perpendicular to CD, and DB is perpendicular to AB

Answer:

Statements B, D, E are TRUE

Step-by-step explanation:

A. The expression 50ℎ represents the total charge for Rock the House Digital Designs.

NOT TRUE

The expression 500 + 50h represent total charge for Rock the house digital design

B. The expression 75ℎ represents the total charge for Elegance Home Architects.

TRUE

Elegance Home Architects

75h

C. The cost for using Rock the House Digital Designs for an initial consultation only is $550.

NOT TRUE

The cost for using Rock the House Digital Designs for an initial consultation only is $500

D. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(15)

= 500 + 750

=$1,250

Elegant home architect

$75h

= 75(15)

= $1,125

Elegant home architect is cheaper

E. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegant home architect

$75h

= 75(40)

= $3,000

Rock the House Digital Designs will be cheaper.

The maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

To determine the maintenance cost expected to be incurred during July, we need to substitute the planned machine time of 9,000 hours into the cost formula Y = $5,800 + $0.40X.

Plugging in X = 9,000 into the formula, we get:

Y = $5,800 + $0.40(9,000)

Y = $5,800 + $3,600

Y = $9,400

Therefore, the maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

The cost formula Y = $5,800 + $0.40X represents the fixed cost component of $5,800 plus the variable cost component of $0.40 per machine-hour. By multiplying the planned machine time (X) by the variable cost rate, we can determine the additional cost incurred based on the number of machine-hours. Adding the fixed cost component gives us the total maintenance cost expected for a given level of machine-time. In this case, with 9,000 hours of planned machine time, the expected maintenance cost is $9,400.

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a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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Answer:

1 3/4 / 4

x / 3

Step-by-step explanation:

The answer is about 1.31 cups.

hope this helps

A turning point associated with the events, ideas, or historical developments related to both the statute law and Article 1 competence of the international tribunal of Rwanda was the assassination of President Juvenal Habyarimana.

The assassination of Rwandan President Juvenal Habyarimana was a turning point in the Rwandan strife because it triggered the ethnic cleansing of the Tutsis.

The statute law of the international tribunal was made to address the prosecution of persons who participated in acts of genocide and violation of human rights. This event was an element of justice that punished wrongdoers for their part in the incident.

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When the production manager selects a sample of items that have been produced on her production line and computes the proportion of those items that are defective, the proportion is referred to as a statistic.

The statement is true.

A statistic can be the sample mean or the sample standard deviation, which is a number computed from sample. Since a sample is random in nature therefore every statistic is a random variable (that is, it differs from sample to sample in such a way that it cannot be predicted with certainty).

Statistics are computed to estimate the corresponding population parameters.

Here the production manager selects a sample of items produced on her production line to compute the proportion of defective items, that is taken from the sample and would later be used to represent the entire bunch of items produced. Thus, the proportion can be referred to as a statistic.

Hence, the statement given is true.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

Step-by-step explanation:

radius = 32 inches

angle = 60 degrees

Area of segment = 1/2 (60-sin(60)) *(32)^2 = 1/2 (60 - sqrt(3)/2) *(1024) = 598 sq inches

Current ratio is 1.37:1 and the company is financed by debt and equity in the ratio of 0.48:1.

1.1.1. Current ratio= Current assets/Current liabilities= 300 000 + 600 000 + 220 000/ 730 000 = 1.37:1

Comment: The current ratio has decreased from 2.33 to 1.37. This indicates that the company has reduced its liquidity to some extent.

1.1.2. Acid test ratio= (Current assets - Inventories)/Current liabilities= (300 000 + 600 000) - 220 000/730 000= 0.79:1

Comment: The acid test ratio has also decreased from 1.58 to 0.79. This implies that the company may have difficulty meeting its short-term obligations as its liquid assets have decreased.

1.2. PE ratio= Market price per share/Earnings per share= 270c/7.5c= 36

Comment: A low PE ratio could mean that the company is undervalued by the market. It could also mean that the company's earnings are expected to decrease in the future.

1.3. Earnings per share= Net profit after tax/Number of ordinary shares in issue= 765 000/900 000= 8.5c

Comment: Shareholders may be happy with this because they will receive a dividend of 65c per share, which is higher than the earnings per share. This means that the company is distributing a significant portion of its earnings to shareholders.

1.4. Market to book ratio= Market price per share/Book value per share= 270c/(1800000+160000)/900000= 1.07

Comment: The market to book ratio indicates how much investors are willing to pay for each rand of book value. A ratio greater than 1 indicates that the market is willing to pay more than the book value for each share, which could indicate that investors expect the company to generate more profits in the future.

1.5. Debt equity ratio= Total liabilities/Total equity= (730 000 + 180 000)/1 960 000= 0.48

Comment: The debt equity ratio indicates the extent to which the company is financed by debt as compared to equity. In this case, the company is financed by debt and equity in the ratio of 0.48:1.

1.6. Retained income= Net profit after tax - Dividends= 765 000 - (65c * 900 000)= R585,000.

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Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = \(6W^2\)

The are of the banner is 96 square inches. This implies that:

\(6W^2\) = 96

=> \(W^2\) = 96 / 6 = 16

W = \(\sqrt{16}\)

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.

This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.

One of the most crucial concepts for pupils to understand in maths and science is the zero product property.

The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.

Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.

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The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Answer:

StartFraction 1 Over 8 EndFraction

Step-by-step explanation:

Answer:

A-83 degrees

Step-by-step explanation:

n intersects the middle line, making m5 and m6 supplementary, meaning they  add up to 180 degrees.

180-97=m5

180-97=83