16 ounces is equivalent to 1 pound. A lion cub born at the zoo weighs 2 1/2 pounds. How many ounces does the lion cub weigh? Show your work.

Answer:

the answer is b 4-n. Hope this helps

Answer:

the second one (4-n).

Step-by-step explanation:

lol

We must have used at least 6 of one type of stamp.we get:

\(5n + 8m = 72\)

The amount of postage you make must be even, we can use the fact that 5 cents and 8 cents are both even. Let's say we use n 5-cent stamps and m 8-cent stamps.

Since both types of stamps are even, the sum n5 + m8 will be even only if both n and m are even.

(b) Suppose we made an even amount of postage, say 2k cents. If we used an odd number of both types of stamps, then the total number of stamps we used would be odd. Let's say we used n 5-cent stamps and m 8-cent stamps.

(c) Suppose we made exactly 72 cents of postage, say using n 5-cent stamps and m 8-cent stamps. Then, we have:

\(n5 + m8 = 72\)

we get:

\(5n5 + 5m8 = 360\)

Rearranging, we get:

\(25n + 40m = 360\)

we get:

\(5n + 8m = 72\)

Now, we know that n and m are both non-negative integers, so the only possible values for m are\(0, 1, 2, 3, 4,\) or\(5\). But if m is less than 6, then 5n + 8m is less than 40, which means we cannot make exactly 72 cents of postage. Therefore, we must have used at least \(6\)of one type of stamp.

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Answer:

:)

Step-by-step explanation:

to bad wow T^T

Answer: you can check math

way

.com

Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

Yes, the function is exponential.

Step-by-step explanation:

The "^" represents an exponet. If you want to know, the exponent is 3.

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

We have given that,

Two overlapping triangles

Here we have the angle Z and 52

The sum of the all angle in a triangle is 180 degrees.

Therefore we have

The Z+43+52+40=180

Z+125=180

Z=55

Therefore in a triangle degree 52 degrees and 40 degree

y+52+40=180

y+92=180

y=180-92

y=88 degrees

For the angle x, we have

x+15+40+52=180

x+107=180

x=180-107

x=73

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

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Answer:

Step-by-step explanation:

How approximate is approximate?

I'll give you an answer to 2 decimal places.

Area = pi * r^2

r = d/2

d = 14

r = 14/2

r = 7

Area = 3.14 * 7^2

Area = 3.14 * 49

Area = 153.86 sq in.

Lots of pizza! Enjoy!

Answer:

A≈153.94

Step-by-step explanation:

A=πr2=π·72≈153.93804

Answer:

2 000 000 \(cm^{2}\)

Step-by-step explanation:

100 \(km^{2}\) = 1 000 000 000 000 \(cm^{2}\)

the scale of 1:500000 means that 1 cm in the map represents 500000 cm in reality

So on the map this pond's area would be

\(\frac{1 000 000 000 000}{500000}\) = 2 000 000 \(cm^{2}\)

The amount of each of the 10 payments will be £1204.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of the boat is £14,200 plus VAT at 20%.

Trevor pays = £5000

He pays the rest of the cost in 10 equal payments.

Now,

We can formulate;

The amount of each of the 10 payments is;

= (14200 + 14200 x 20% - 5000)/10

= (14200 + 2840 - 5000) / 10

= (17040 - 5000) / 10

= 12040 / 10

= 1204

Thus, The amount of each of the 10 payments will be £1204.

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Explanation:

Red ribbon = 21cm + blue ribbon

Blue ribbon = green ribbon - 48 cm

Green ribbon = 2m 35cm

converting the length to centimeter:

100cm = 1m

Green ribbon = 2(100) + 35cm = 200 + 35

Green ribbon = 235cm

Blue ribbon = 235cm - 48cm

Blue ribbon = 187cm

Red ribbon = 21cm + 187cm

can you see the workings?please resp

Answer: she can stack the paper 57 ways

Step-by-step explanation:

The statement suggests that 21- to 24-year-olds in the US have the lowest percentage of drivers involved in fatal crashes with blood alcohol concentration (BAC) levels of 0.08% or higher.

This implies that compared to other age groups, individuals in the 21-24 age range are less likely to be involved in alcohol-related fatal crashes.

It's important to note that without specific data or a reference to support this statement, it cannot be conclusively determined if it is true. However, if reliable data and studies show that this age group does have the lowest percentage of drivers in fatal crashes with high BAC levels, it would indicate a positive trend in terms of responsible alcohol use and driving behavior among 21- to 24-year-olds.

It's crucial to prioritize safe and responsible driving practices for individuals of all age groups to reduce the incidence of alcohol-related accidents and ensure road safety.

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The equation of the ellipse with focus at (-2,0) and vertices at (±7, 0) is given as follows:

x²/49 + y²/45 = 1.

The equation of an ellipse of center (h,k) is given by the equation presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

The center of the ellipse is given by the mean of the coordinates of the vertices, as follows:

Hence:

x²/a² + y²/b² = 1.

The vertices are at x + a and x - a, hence the parameter a is given as follows:

a = 7.

Considering the focus at (-2,0), the parameter c is given as follows:

c = -2.

We need the parameter c to obtain parameter b as follows:

c² = a² - b²

b² = a² - c²

b² = 49 - 4

b² = 45.

Hence the equation is given as follows:

x²/49 + y²/45 = 1.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

Rate of change = 2 & Initial value = -1

On solving the provided question, we can say that - the answer of the following equation n is  \(I = -π/2(cos9 - cos0) = π/2(1-cos9)\)

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. A formula that claims two formulae are equal is the definition of an equation in algebra in its most basic form. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate.

In polar coordinates \(x = rcosφ, y = rsinφ, x^2 + y^2 = r2. dA = dxdy = rdrdφ\)

Region is:  \(0≤r≤3, 0≤φ≤π.\)Our integral I = ∫∫sinr2rdrdφ =π∫sinr2rdr = π/2(-cosr2) with substitution from 0 to 3

\(I = -π/2(cos9 - cos0) = π/2(1-cos9)\)

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Answer: 9 sq. ft

The area of a square is:  A = a²

A = 3²

A = 9

Plz mark brainliest:)

Answer:

x = 20

Angle 1 = 120

Step-by-step explanation:

(4x + 40) = (2x + 80)

4x + 40 = 2x + 80

2x + 40 = 80

2x = 40

x = 20

2(20) + 80

40 + 80

120

Angle 1 is a vertical angle from (2x + 80) so they have the same measurement.

In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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Answer:

3/2

Step-by-step explanation:

The  set of  set of possible dimensions of the fencing are; 10.5 meters and 21 meters.

The formula for the area of rectangle is;

A = lw

where;

l is length

w is width

Therefore, Perimeter is;

P = 2w + l

Thus;

42 = 2w + l

l = 42 - 2w

Thus;

Area = w(42 - 2w)

216 = 42w - 2w²

2w² - 42w + 216 = 0

The dimension w can be found as follows;

w = -b/2a

where;

a = 2

b = -42

w = -(-42)/(2 ×  2)

w = 10.5 m

Then, l = 42  - 2w

l = 42 - 2(10.5)

l = 21 meters

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Answer:

D

Step-by-step explanation:

The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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Answer:

irrational

Step-by-step explanation:

Answer:

it's irrational because it can't be a fraction and it keeps repeating

If the car's speed is 65 kilometres per hour, then the bus' speed may be 75 kilometres per hour.

How to find the distance travelled by an object?

The distance travelled by an object in a specified direction is velocity×time.

if the car's speed is 65 kilometres per hour then in 2 hours it will travel a distance of 65×2 kilometres.

65×2=130 kilometres

if the bus' speed is 75 kilometres per hour then in 2 hours it will travel a distance of 75×2 kilometres.

75×2=150 kilometres

So, after 2 hours the distance between the two vehicles will be 130+150= 280 kilometres

which is less than 350 kilometres.

Hence, it is possible that if the car's speed is 65 kilometres per hour then the bus' speed is 75 kilometres per hour.

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The value of Average slope is -509.6.

We can calculate the slope of a function by finding its derivative. Therefore, we can find the derivative of f(x) first:f'(x) = -24x³ - 2x² - 3

We can then calculate the slope of the function at x=2 and x=4:

f'(2) = -24(2)³ - 2(2)² - 3

= -197f'(4)

= -24(4)³ - 2(4)² - 3

= -822

Now, we can find the average slope of the function on the interval [2,4] by using the formula:Average slope = (f'(4) - f'(2))/(4-2)= (-822 - (-197))/(4-2)= -625/2= -312.5

However, we need to be careful as we have been using approximation in the above calculation.

Therefore, we need to evaluate the definite integral of f'(x) from 2 to 4:∫(2,4) f'(x)dx= [-6x⁴/2 - 2x³/3 - 3x²/2] from 2 to 4= (-6(4)⁴/2 - 2(4)³/3 - 3(4)²/2) - (-6(2)⁴/2 - 2(2)³/3 - 3(2)²/2)= -509.6

Therefore, the average slope of the function on the interval [2,4] is -509.6.

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The slope in a least-squares regression line of the form y = a bx is equal to the coefficient b. This coefficient represents the rate of change in the dependent variable (y) for every one unit increase in the independent variable (x).

Specifically, it represents the change in y divided by the change in x, as b is calculated as the covariance between x and y divided by the variance of x.

This slope is important in understanding the relationship between the variables being studied and can help to make predictions about future values of the dependent variable based on changes in the independent variable.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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In a Spanish course at State College, the grade distribution shows that 89 students earned a D. To represent this on a pie chart, we need to determine the number of degrees that would correspond to the D region.

Since a complete circle represents 360 degrees, we can calculate the proportion of students who earned a D and multiply it by 360 to find the corresponding number of degrees.

To find the number of degrees that would indicate the D region on the pie chart, we first need to calculate the proportion of students who earned a D. From the given information, there were 57 students who earned an A, 83 who earned a B, 104 who earned a C, 89 who earned a D, and 45 who failed the course. The D region represents the number of students who earned a D, which is 89.

To calculate the proportion, we divide the number of students who earned a D by the total number of students: 89 D's / (57 A's + 83 B's + 104 C's + 89 D's + 45 failures). This gives us a proportion of 89 / 378, which is approximately 0.2354.

To find the number of degrees, we multiply the proportion by the total number of degrees in a circle (360 degrees): 0.2354 * 360 = 84.74 degrees.

Therefore, approximately 84.74 degrees would be used to indicate the D region on the pie chart representing the grade distribution of the Spanish course.

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