Forgotten how to do this
Explanation to please.

The elephant weighs 8.9 × 10³ pounds more than the giraffe.

Weight is the gravitational pull of a large second object, like the Moon or the Earth, on a first object. Weight is a result of the universal law of gravitation, according to which any two objects will gravitationally attract one another with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Because of this, larger objects naturally weigh more when placed in the same location; however, the farther an object is from the Earth, the less weight it has.

Given that

Elephant weighs 1.1 × 10⁴ pounds

Giraffe weighs 2.2 × 10³ pounds

To find how much more elephant weighs than giraffe, we need to find the difference of their weights. i.e

1.1 × 10⁴ - 2.1 × 10³

= 11000 - 2100

= 8900

= 8.9 × 10³ pounds

Thus, the elephant weighs 8.9 × 10³ pounds more than the giraffe.

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Answer:

  214.9°

Step-by-step explanation:

You want to know the angle of rotation that moves a point on a circle of 16 inch radius a distance of 5 feet.

The relation between the length of an arc and the central angle in radians is ...

  s = rθ

The distance of 5 ft is equal to 60 inches, so we have ...

  60 = 16θ

Solving for θ gives ...

  θ = 60/16 = 15/4 . . . . radians

The angle in radians can be converted to an angle in degrees by multiplying it by 180°/π:

  15/4 radians = (15/4)·(180°/π) ≈ 214.9°

The wheel turned through an angle of about 214.9°.

Answer:

The slope of the line is -10/11

Step-by-step explanation:

To find the slope with points you would use the formula [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Now since the line crosses the y-axis at 17, that would be where the y-intercept is, meaning there is a point at (0, 17).

With that, we can find the slope with (11, 7) and (0, 17) in the formula above

So, [tex]m = \frac{17 - 7}{0 - 11}[/tex]

which will simplified to, [tex]m = -\frac{10}{11}[/tex]

So the slope is - 10/11

Answer:

D

Step-by-step explanation:

There are no black shoelaces

The probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit is 25/52.

Now, According to the question:

We are informed that a card is drawn at random from a standard 52-card deck.

We are asked the probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit.

We assume the event of drawing an odd card from the random pick to be A, and the event of drawing a card of spade suit to be B.

The number of outcomes favorable to event A = 16 {4 odd cards of each of the 4 suits, that is, 4×4 = 16}.

The total number of possible outcomes = 52 {The number of cards in the deck}.

Therefore, the probability of event A, P(A) = 16/52.

The number of outcomes favorable to event B = 13 {The 13 cards of spade suit}.

The total number of possible outcomes = 52 {The number of cards in the deck}.

Therefore, the probability of event B, P(B) = 13/52.

The number of outcomes favorable to events A and B both = 4 {4 odd cards of the spade suit}.

The total number of possible outcomes = 52 {The number of cards in the deck}.

Therefore, the probability of events A and B both, P(A ∩ B) = 4/52.

The probability that the randomly drawn card is an odd number or of spade suit is represented by P(A ∪ B), which is calculated by the formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 16/52 + 13/52 - 4/52 = 25/52.

Hence, the probability that the randomly drawn card is an odd number (3, 5, 7, 9) or of spade suit is 25/52.

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The sum of the angles equals 540

There are 3 angles that measure (x - 6) and 2 angles that measure (x)

We should know that the question address a pentagon

3(x - 6) + 2(x) = 540

Simplify the equation

3x - 18 + 2x = 540

Collecting the like terms to have

5x - 18 = 540

5x = 598

Making x the subject of the relation we have

x = 120⁰

Bu substitution, put x in the value x-6 to have the value of the angle

x - 6   = 120 - 6   = 114

Conclusively,  the value of x  = 114

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The shortest distance between points A and B on the cylinder is 6 inches.

This problem uses the Pythagorean Theorem to calculate the shortest distance between points A and B. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this problem, the hypotenuse is the shortest distance between points A and B and the other two sides are the radius and height of the cylinder.

Step 1: Calculate the radius of the cylinder by dividing the circumference of the base (18 inches) by 2π (3.14159):

r = 18 inches / 2π = 2.827 inches

Step 2: Calculate the height (h) of the cylinder by subtracting the radius from the total height (12 inches):

h = 12 inches - 2.827 inches = 9.173 inches

Step 3: Calculate the shortest distance between points A and B by multiplying the height (h) by 2:

d = 9.173 inches x 2 = 18.346 inches

Step 4: Round the result to the nearest whole number:

d = 18.346 inches ≈ 6 inches

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There are two types of systems in mathematics: discrete systems, which are composed of distinct, separate elements, and continuous systems, which are composed of elements that are connected and can take on any value over a range.

1. Discrete systems: A system with distinct, separate elements, such as a set of integers or a graph.

2. Continuous systems: A system with elements that are connected and can take on any value over a range, such as a line or a curve.

1. Discrete systems: A discrete system is a system with distinct, separate elements. Examples include a set of integers, a graph, or a network of nodes. Discrete systems are usually studied using discrete mathematics.

2. Continuous systems: A continuous system is a system with elements that are connected and can take on any value over a range. Examples include a line, a curve, a function, or a surface. Continuous systems are usually studied using calculus.

There are two types of systems in mathematics: discrete systems, which are composed of distinct, separate elements, and continuous systems, which are composed of elements that are connected and can take on any value over a range. Discrete systems are studied using discrete mathematics, while continuous systems are studied using calculus.

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Answer:

y=13(7)^x

Step-by-step explanation:

x = 0, y = 13, so we know that a = 13.

13b^2 = 637  ==> x=2 and y=637

b^2 = 49  ==> divide both sides by 13

b = 7  ==> take the square root on both sides

y = 13 * 7^x  ==> plug in 7 for b in y = 13b^x

Answer: y=13(7)^x

The 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is estimated to be between 0.58 and 0.66.

To calculate the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts, we need to calculate the point estimate and margin of error. The point estimate is the proportion of first-year students who stated they intend on majoring in liberal arts

(62/100 = 0.62).

The margin of error is 1.96 times the standard error

(SE = √(p(1-p)/n) = √(0.62(1-0.62)/100) = 0.04).

The lower bound of the 95% confidence interval is the point estimate minus the margin of error

(0.62 - 0.04 = 0.58).

The upper bound of the 95% confidence interval is the point estimate plus the margin of error

(0.62 + 0.04 = 0.66).

Therefore, the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is estimated to be between 0.58 and 0.66.

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The volume of the sphere with a great circle of radius 12 cm is 7238.2 cm³. The correct option is A) 7,238.2 cm3

From the question, we are to calculate the volume of the sphere with the given radius.

From the formula for calculating the volume of a sphere, we have that

V = 4/3πr³

Where V is the volume

and r is the radius

From the given information,

The sphere has a great circle of radius 12 cm

Thus,

r = 12 cm

Substitute the value of r into the equation,

V = 4/3πr³

That is,

V = 4/3 × π × 12³

V = 4/3 × π × 1728

V = 4 × π × 576

V = 4 × 576 × π

V = 2304π

V = 7238.2 cm³

Hence, the volume is 7238.2 cm³

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Answer:

Step-by-step explanation:

83

To find the number of females who are not enrolled in Composition I, we can look at the table and find the total number of females and subtract the number of females who are enrolled in Composition I.

The total number of females is found in the "Column Totals" row, in the second column, and is 251.

The number of females enrolled in Composition I is found in the "Males" row, in the second column, and is 46.

So the number of females who are not enrolled in Composition I is:

251 (total number of females) - 46 (females enrolled in Composition I) = 205

Therefore, the answer is 83.

60% of the people in the room are married men.

We can use the information that the probability of a randomly selected woman being single is 2/5 to find the fraction of people in the room who are married men.

Let's call the fraction of people in the room who are married men x. The fraction of people in the room who are single women is (2/5) and the fraction of people in the room who are married men and their wives is (1-x)

Since there are only single women and married men with their wives at the party, we know that the sum of the fractions of single women and married men and their wives must be 1.

(2/5) + (1-x) = 1

We can solve this equation for x:

x = 1 - (2/5) = 3/5

So the fraction of people in the room who are married men is 3/5 or 0.6

So, 60% of the people in the room are married men.

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The actual number of people in 10 years could be 57,000 or 56,000. The equation of the trend line is y=1.9x+21, so for any year x, the population y can be found using this equation. To find the population in 16 years, when the population is 52,900, we can plug in x=16 and solve for y to find y=52,900. To find the population in 10 years, when the population is 2,000 people from what the trend line shows, we can plug in x=10 and solve for y to find y=50,900. Since the population should be 2,000 more, the actual population in 10 years is either 57,000 (50,900 + 2,000) or 56,000 (50,900 + 1,000).

Answer:

Part A is 16

Step-by-step explanation:

The treatments of this experiment are the four different concentrations of the fungus mixtures that are given. The four concentrations are 0 ml/l, 1.25 ml/l, 2.5 ml/l, and 3.75 ml/l.

The experimental units are the 20 individual containers, each containing an equal number of the insects.

The response variable of the experiment is the number of insects that are still alive in each container one week after spraying.

The researchers will measure the number of insects that are still alive in each container after one week and this will be used to determine the effectiveness of the fungus mixture.

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The ladder will reach 15 feet length up the building.

1. The ladder is 20 feet long

2. The ladder is set up 5 feet from the base of the building

3. Subtract the 5 feet from the length of the ladder (20 feet)

4. The answer is 15 feet

The 20-foot ladder is set up 5 feet from the base of the building. To calculate how far up the building the ladder reaches, we need to subtract the 5 feet from the length of the ladder. The answer is 15 feet. This means the ladder will reach 15 feet up the building (5 feet from the base). This can also be visualized by imagining that the remaining 15 feet of the ladder is being used to reach up the building. The 5 feet of the ladder not used to reach up the building is used to support the ladder on the ground.

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Answer:

Step-by-step explanation:

The rate of change in elevation of the second scuba diver in feet per minute would be -15 5/8 / 114 = -0.137 feet per minute.

Depending on how many shots you add, a single mixed drink can be equivalent to more than one or two regular drinks. Keep in mind that a 1.25 oz. shot is equivalent to one normal drink.

What is a standard drink?

Approximately 14 grams of pure alcohol are present in one "normal" drink in the United States (or one alcoholic drink's equivalent).

                           This amount can be found in: 12 ounces of standard beer, which typically contains 5% alcohol. 12% alcohol in 5 ounces of wine is the normal amount. Approximately 40% alcohol is present in 1.5 ounces of distilled spirits.

What makes it a regular drink?

The amount of pure alcohol in various alcoholic beverages varies. Any alcoholic beverage with 10 grams of pure alcohol is referred to as a STANDARD DRINK. There are varying percentages of pure alcohol in various alcoholic beverages.

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Coordinates of the given endpoints of the line segments ( 1, -3) and (5,-4) after translation of 3 units to the right and reflected over x-axis is given by :

a. Coordinates ( 4,3) and (8,4) , length of the given line segment does not get affected.

As given in the question,

Line segment of xy with endpoints (1, -3) and ( 5,-4).

Distance between endpoints are:

√( 5 -1)² + ( -4 + 3)²

= √17

Conditions given:

Line segment reflected over x-axis.

After reflection y-coordinates become positive.

Endpoints become : ( 1, 3 ) and ( 5, 4)

Translation of 3 units to the right.

New coordinates after translation:

(1 +3, 3) and ( 5+3 , 4)

= ( 4,3) and (8,4)

Distance between new endpoints are:

√( 8 -4)² + ( 4 - 3)²

= √17

Therefore, for the given endpoints of the line segment after reflection and translation as per given condition new coordinates are given by:

Option a. Coordinates ( 4,3) and (8,4) , length of the given line segment does not get affected.

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Probability is the branch of mathematics dealing with numerical descriptions of how likely a situation is to occur, or how likely it is that a proposition is true.

An expression for the probability of an event.

Probability of an event = Required number of event / Total number of possible events

Required number of events = 84

Total number of events = 320

Find the probability that both customers selected without replacement say service is poor.

customers say service is poor = 84 / 320

customer selected without saying service is poor= 83 / 319.

The final probability is: 84 ÷ 320 ×83 ÷ 319.

      = 6972 ÷ 201080

     = 1743 ÷ 25520

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The next year's population to the nearest individual will be 140,014. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

There are four fundamental mathematical operations for all real numbers in mathematics, and they are as follows:

1. Obtaining the sum of the numbers through addition ('+').

2. Subtraction using the sign "-" where the difference between the numbers is produced.

3. Multiplication ('×'), which results in the numbers' product.

4. The division ('÷') operation where the quotient of the numbers is determined.

According to the question, the population of a city increases by 2.2% per year and this year's population is 137,000.

Let the population of next year be 'x'

Therefore, we get the following

⇒137,000 + 137,000(2.2%) = x

⇒137,000 + 3014 = x

⇒140,014 = x

Hence, the next year's population to the nearest individual will be 140,014.

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Answer:

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

[tex]\frac{12}{(2+3)^{2} }[/tex]

[tex]\frac{12}{5^{2} }[/tex]

[tex]\frac{12}{25}[/tex]

The per-pound cost of ham, turkey, and roast beef is $8.29, $10.5, and $14.67. Here, ham is the least expensive meat.

The ratio is defined as the relationship between two magnitudes of similar size in terms of how often the first contains the second.

The cost of 1.75 pounds of ham is given as $14. 50. Let's consider the cost per pound of ham is x and this is calculated as follows,

[tex]\begin{aligned}\frac{1.75}{\$14.50}&=\frac{1}{x}\\1.75\times x&=\$14.50\\x&=\$8.29\end{aligned}[/tex]

The cost of 2.5 pounds of turkey is given as $26. Let's consider the cost per pound of turkey as y and this is calculated as follows,

[tex]\begin{aligned}\frac{2.5}{\$26.25}&=\frac{1}{y}\\2.5\times y&=\$26.25\\y&=\$10.5\end{aligned}[/tex]

The cost of 0.375 pounds of roast beef is $5.50. Let's consider the cost per pound of roast beef as z and this is calculated as follows,

[tex]\begin{aligned}\frac{0.375}{\$5.50}&=\frac{1}{z}\\0.375\times z&=\$5.50\\z&=\$14.67\end{aligned}[/tex]

From the above values we conclude, z>y>x. So the cost of ham is the least expensive.

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After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times

1. To calculate the number of members after one year, multiply the initial number of members (101010) by the factor of 1.21.21:

101010 x 1.21.21 = 12312

2. To calculate the number of members after two years, multiply the initial number of members (101010) by the factor of 1.21.21 twice:

101010 x 1.21.21 x 1.21.21 = 149149

3. To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times:

101010 x 1.21.21 x 1.21.21 x 1.21.21 = 180180

After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.

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The plot of 2 1/3, −5/6, and −3 1/2 on the number line is attached below

Generally, The uneven distribution of resources, opportunities, and advantages among different persons or groups in a society is what we mean when we talk about inequality.

This may manifest itself in a variety of ways, such as economic inequality (differences in income or wealth), social inequality (differences in status or access to resources), or political inequality (differences in power or influence) (differences in power or representation).

inequality, A statement in mathematics that establishes an order connection between two numbers or algebraic expressions, such as "greater than," "greater than or equal to," "less than," or "less than or equal to."

The mathematical symbol for "equals" has been substituted by an arrowhead in the statement "5x - 4 > 2x + 3," which gives it the appearance of an equation. It is an illustration of the concept of inequality. This indicates that the section on the left, which reads 5x minus 4, is more significant than the section on the right, which reads 2x plus 3.

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An equation that could represent a linear combination of the given system of equations is: B. 0 = -78.

In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

Generally speaking, a linear combination of any system of equations can be obtained by either adding or subtracting a multiple of the equations of the system.

2x/3 + 5y/2 = 15      ......equation 1.

4x + 15y = 12       ......equation 2.

By multiplying equation 1 with 6 and equation with 1, we have the following system of equations:

4x + 15y = 90       ......equation 3.

4x + 15y = 12          ......equation 4.

By subtracting equation 3 from equation 4, we have the following:

0 = -78

In this context, we can reasonably infer and logically conclude that 0 = -78 is an equation that would most likely represent a linear combination of the given system of equations.

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Complete Question:

The system of equations below has no solution.

2x/3 + 5y/2 = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

A) 4/3x=42

B) 0= -78

C)15/2y=33

D)0=0

Answer: A good equation would be 1.20/12 and then 0.80/12.

Step-by-step explanation: after getting the answers from both equations you can determine how much to spend on each tea to evenly spend your money on both

Answer: 25q and 3d

Step-by-step explanation:

23 dimes and 17 quarters equal $6.55.

To find the number of dimes and quarters which equals $6.55, we can use the following method:

Let D = number of dimes

Let Q = number of quarters

40 coins  ==>  D + Q = 40  ==>  D = 40 - Q

$6.55 total  ==>  10*D + 25*Q = 655

After the value for D is substituted in the second equation,

10*(40 - Q) + 25*Q = 655

400 - 10*Q + 25*Q = 655

15*Q = 255

Q = 17

i.e., D = 40 - 17 = 23

Check:  23 dimes = $2.30

           17 quarters = $4.25

           Total = $6.55 

Therefore, 23 dimes and 17 quarters equal $6.55.

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Answer:

11. Slope = 1, y-int = (0, -3)

Step-by-step explanation:

Move the numbers so that they math the formula y=mx+b, m being the slope, and b being the y intercept. If for example its 2y, divide the entire equation by 2. Basically you separate "y" on one side, and whatever is next to the x is your slope.

Two examples below: