Deshawn says that the ratios 3:5 and 5:7 are equivalent ratios because by adding 2 to both terms of 3:5 you get 5:7. Is Deshawn correct? Explain.

Answer:

x = 7 , y = 4

Step-by-step explanation:

the triangle on the right has 3 congruent angles and is therefore equilateral with 3 congruent sides, so

3x - 5 = 5y - 4 → (1)

the triangle on the left has 2 congruent angles and is therefore isosceles with the 2 legs being congruent, so

3x - 5 = y + 12 → (2)

we have 2 equations with 3x - 5 on the left side so equate the right sides

5y - 4 = y + 12 ( subtract y from both sides )

4y - 4 = 12 ( add 4 to both sides )

4y = 16 ( divide both sides by 4 )

y = 4

Then

5y - 4 = 5(4) - 4 = 20 - 4 = 16 , so

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

$5.25 = 525 cents

525/7=75

each bottle is 75 cents or $0.75

Answer:

42

Step-by-step explanation: It keeps going up by 8

Answer:

the whole is always 180 so take away the x and y and add up the remaining problems and whatever is left after that is your answer.

Step-by-step explanation:

Answer:

the answer is :

20 for the first figure

12 for the second figure

30 for the last figure

Answers:

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

Explanation:

The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.

So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).

For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.

It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.

Answer:

Step-by-step explanation:

This is the answer key but have no clue how to answer step by step sorryyyy

Here are the updated balances after each transaction: Charlie Tallman, Capital: $6200.00, Insurance Expense: $1200.00, Accounts Payable - Athletic Supply: $2000.00, Supplies: $2775.00 and Cash: $4225.00

Let's keep track of each transaction and calculate the new balance for each account after each recorded transaction.

Initial account balances:

Charlie Tallman, Capital: $0.00

Insurance Expense: $0.00

Accounts Payable - Athletic Supply: $0.00

Supplies: $0.00

Cash: $0.00

a. Received cash from owner, Charlie Tallman, as an investment, $8000.00.

Charlie Tallman, Capital: $8000.00

Cash: $8000.00

b. Paid cash for insurance, $1200.00.

Cash: $8000.00 - $1200.00 = $6800.00

Insurance Expense: $1200.00

c. Bought supplies on account from Athletic Supply, $2500.00.

Supplies: $2500.00

Accounts Payable - Athletic Supply: $2500.00

d. Paid cash for supplies, $275.00.

Cash: $6800.00 - $275.00 = $6525.00

Supplies: $2500.00 + $275.00 = $2775.00

e. Paid cash on account to Athletic Supply, $500.00.

Cash: $6525.00 - $500.00 = $6025.00

Accounts Payable - Athletic Supply: $2500.00 - $500.00 = $2000.00

f. Paid cash to owner, Charlie Tallman, for personal use, $1800.00.

Cash: $6025.00 - $1800.00 = $4225.00

Charlie Tallman, Capital: $8000.00 - $1800.00 = $6200.00

Here are the updated balances after each transaction:

Charlie Tallman, Capital: $6200.00

Insurance Expense: $1200.00

Accounts Payable - Athletic Supply: $2000.00

Supplies: $2775.00

Cash: $4225.00

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Answer:

You would have saved up to $24,407 at the end of the 20 years

Answer:

The chemical formula of Ammonium nitrate is NH4NO3. It consists of 2 nitrogen atoms, 3 oxygen atoms and 4 hydrogen atoms

Step-by-step explanation:  2.4088 x 10^24 atoms of H. Explanation: +5. how many hydrogen atoms are in one mole of CuNH4Cl3. 1 MOLECULE of CuNH4Cl3 contains 4 H

2.4088 x 10^24 atoms of H

The limit or state that it does not exist 1/14. An output value that a function approaches for the specified input values is referred to as a limit.

A product's limit is equal to the product of its limits. A quotient's limit is the same as the quotient of its limits. A constant function's limit is the same as the constant. Limit, a closeness-based mathematical notion, is largely used to give values to some functions at locations where none are defined, in a manner that is consistent with neighboring values. A limit is a boundary, the greatest amount of something, or the extent to which something can go. These are some examples of Limitations applications: Measuring the strength of the magnetic field, electric field, etc., is helpful.

Using L' hopital rule.

Taking the derivative of numerator and denominator.

limit at x → 0 \(\frac{\frac{1}{2}(49+x)^{\frac{1}{2}}}{1}\)

\(=\frac{1}{2}(49+0)^{\frac{1}{2}}\)

\(=\frac{1}{2}(49)^{\frac{1}{2}}\)

\(=\frac{1}{2}(7)\)

\(=\frac{1}{14}\)

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The limit of √(49 + h) - 7 / h as h approaches 0 is 1/14. The expression can be simplified by multiplying the numerator and denominator by the conjugate of the numerator.

The given expression is:

√(49 + h) - 7 / h

We can simplify this expression by multiplying the numerator and denominator by the conjugate of the numerator:

(√(49 + h) - 7) * (√(49 + h) + 7) / (h * (√(49 + h) + 7))

= (49 + h - 49) / (h * (√(49 + h) + 7))

= h / (h * (√(49 + h) + 7))

= 1 / (√(49 + h) + 7)

As h approaches 0, the denominator of this expression approaches √49 + 7 = 14, and the numerator approaches √49 - 7 = 0. Therefore, the limit of the expression as h approaches 0 exists and is equal to:

1 / 14

Thus, lim h→0 √(49 + h) - 7 / h = 1/14.

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The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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Hector's goal is to reach a 10-kilometer run, and he plans to increase his distance by 0.5 kilometers every Saturday. By analyzing Hector's calculations, we can determine that the equation equivalent to his calculations is 2.5 + 0.5x = 10, where x represents the number of weeks. Using this equation, we can find the number of weeks it will take Hector to reach his goal of a 10-kilometer run, which is 14 weeks.

Hector's calculations show a pattern of adding 0.5 kilometers to his distance each week. We can express this pattern using the equation 2.5 + 0.5x = 10, where x represents the number of weeks. The left side of the equation represents Hector's total distance covered, while the right side represents his goal of running 10 kilometers.

To find the number of weeks it will take Hector to reach his goal, we solve the equation for x. Rearranging the equation, we have:

0.5x = 10 - 2.5

0.5x = 7.5

Dividing both sides of the equation by 0.5:

x = 7.5 / 0.5

x = 15

Therefore, it will take Hector 15 weeks to reach a 10-kilometer run.

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Answer:

The correlation coefficient of the data set is -0.901

Step-by-step explanation:

x           y            xx          xy          yy

1         20            1            20         400

3        14             9           42          196

5        10            25          50          100

9         6            81           54           36

15       4            225         60           16

\(\sum x = 1+3+5+9+15=33\\\sum y =20+14+10+6+4=54\\\sum x^2 =1+9+25+81+225=341\\\sum y^2=400+196+100+36+16=748\\\sum xy=20+42+50+54+60=226\)

Formula :\(\frac{N \sum XY - (\sum X)(\sum Y)}{\sqrt{N\sum X^2 - (\sum X)^2}\sqrt{N \sumY^2 - (\sum Y)^2)}}\)

\(= \frac{5 (226) - (33)(54)}{\sqrt{5(341)- (33)^2}\sqrt{5 (748) - (54)^2}}\\=-0.901\)

So, Option D is true

Hence the correlation coefficient of the data set is -0.901

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Using proportions, it is found that:

1. 1.4 groups of 5/7 are in 1.

2. The result of 8 divided by 5/7 is of 11.2.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Applying a rule of three, to find how many groups of 5/7 are in 1, we divide 1 by 5/7, hence:

1/(5/7) = 7/5 = 1.4.

Hence 1.4 groups of 5/7 are in 1.

Following the same pattern, for item 2, we have that:

8/(5/7) = 8 x 7/5 = 56/5 = 11.2.

The result of 8 divided by 5/7 is of 11.2.

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Answer: 37.68 feet.

Step-by-step explanation:

To find the diameter of a circle, use the equation:

C = 2 * pi * r, where r is the radius of the circle.

The diameter is 12 feet, and the radius is 6 feet.

C = 12 * pi

C = 37.68 feet.

Answer:

-3

Step-by-step explanation:

Answer:

-3

hope this helps :)

Using the cosine and sine laws, the resultant distance traveled by the vessel  as approximately 261.7 km, and the direction as approximately 12.7 degrees north of east.

To find the resultant distance traveled by the vessel using the cosine law, we can use the formula:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

where c is the resultant distance, a is the distance traveled east (150 km), b is the distance traveled north of west (190 km), and C is the angle between a and b (measured counterclockwise from a). In this case, C is 38 degrees.

Using the given values in the formula, we have:

\(c^2 = (150 km)^2 + (190 km)^2 - 2 * 150 km * 190 km * cos(38 degrees)\)

Solving this equation, we find c ≈ 261.7 km.

To determine the direction of the resultant using the sine law, we can use the formula:

sin(A) / a = sin(B) / b = sin(C) / c

where A is the angle opposite to side a, B is the angle opposite to side b, and C is the angle opposite to side c. In this case, we are interested in finding angle A, which is the direction of the resultant.

Using the known values, we have:

sin(A) / 150 km = sin(38 degrees) / 261.7 km

Solving this equation, we find A ≈ 12.7 degrees.

Therefore, the resultant distance traveled by the vessel is approximately 261.7 km, and the direction is approximately 12.7 degrees north of east.

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Answer:

\(\textsf {See below :-}\)

Step-by-step explanation:

\(\textsf {Finding cost price :}\)

\(\implies \textsf {Cost price = Sell Price - Profited Amount}\)

\(\implies \textsf {Cost price = 216,000 - 172,000}\)

\(\implies \textsf {Cost price = 44,000}\)

\(\textsf {Finding profit percentage :}\)

\(\implies \textsf {Profit percentage = }\) \(\mathsf {\frac{Profit}{Cost} \times 100 }\)

\(\implies \textsf {Profit percentage = }\) \(\mathsf {\frac{172,000}{44,000} \times 100}\)

\(\implies \textsf {Profit percentage = }\) \(\mathsf {3.90..... \times 100}\)

\(\implies \textsf {Profit percentage = }\) \(\textsf {390.9 percent}\)

The new mean of the given data is 47, and the new standard deviation for the same data is 10.

When each score in a set of data is multiplied by 5 and then 7 is added to the result, the transformation can be described as follows:

New Score = (Original Score * 5) + 7

To find the new mean, we need to apply this transformation to the original mean. Since the original mean is 8, the new mean can be calculated as:

New Mean = (Original Mean * 5) + 7

= (8 * 5) + 7

= 40 + 7

= 47

Next, to find the new standard deviation, we need to consider the effect of the transformation on the original standard deviation. Since multiplying the data by a constant (5 in this case) scales the standard deviation, the new standard deviation can be calculated as:

New Standard Deviation = Original Standard Deviation * 5

= 2 * 5

= 10

Therefore, the new mean of the data is 47, and the new standard deviation is 10.

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When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.

given

in 6th figure

61° + 52° + x = 180° ( sum of exterior angle )

113° + x = 180°

x = 67°

y = 67°

When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.

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Answer:

ok

Step-by-step explanation:

Answer:

didn't work

Step-by-step explanation:

Answer:

3/5(0) = 0

3/5(5) = 3

3/5(10) = 6

Step-by-step explanation:

Sub the x (domain) into the equation and solve.

Answer:

x (0) = y (0)

x (5) = y (3)

x (10) = y (6)

Step-by-step explanation:

You substitute the given x in the table into the equation.

For example:

y= 3/5 (0)

= 0

Answer:

A,B,D

Step-by-step explanation:

(A) is correct because 5*900+15*300>4000

(B) is correct because 15*900+5*300>4000

(D) is correct because C+P must be less than or equal to 25

The constants α, β, and k are all zero, and the solution to the IVP is y(t) = e²{-2t}, with t = -0.5ln(7)  the condition limt→∞y(t) = 7,t = -0.5ln(7)

Using the method of undetermined coefficients to find the general solution of the differential equation:

y'' + 3y' + 2y = 0

The characteristic equation is:

r²2 + 3r + 2 = 0

Factoring this equation, we get:

(r + 2)(r + 1) = 0

So the roots are r1 = -2 and r2 = -1. Therefore, the general solution is:

y(t) = c1e^{-2t} + c2e^{-t}

Next, we use the information that y1(t) = e²{-3t} is a solution to the differential equation. Substituting this into the general solution, we get:

e²{-3t} = c1e²{-2t} + c2e²{-t}

equation to solve for c1 and c2. Multiplying both sides by e^{2t}, we get:

e²{-t} = c1 + c2e²t

Taking the limit as t approaches infinity,  that c1 must be zero in order for the right-hand side to converge to a finite value. Therefore, we have:

c1 = 0

Substituting this into the previous equation,

e²{-t} = c2e²t

Dividing both sides by e²t,

e²{-2t} = c2

Therefore, we have:

c2 = e²{-2t}

Substituting these values into the general solution,

y(t) = c1e²{-2t} + c2e²{-t} = e²{-2t}

So α = β = 0 and k = -2. Finally,  the information that limt→∞y(t) = 7. Since y(t) = e²{-2t}, we have:

limt→∞e²{-2t} = 7

Taking the natural logarithm of both sides,

-2t = ln(7)Solving for t,

t = -0.5ln(7)

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Answer:

h-2

Step-by-step explanation:

-2x5=-10

8-10=-2

=h-2

Answer: Its b.

Step-by-step explanation: The hypothenuse is the biggest number and the leg is the two shortest numbers.

Answer:

4 Hot dogs packages and 5 hot dog buns packages.

Step-by-step explanation:

This question seems to be regarding the LCM or the least common multiple. Least common multiple is found by figuring out the first time when both numbers, in this case 10 and 8 have the multiple. You can do this by setting up a table with the multiples of each number.

8  | 16 | 24 | 32 | 40

10 | 20| 30 | 40

We can see that the LCM is 40 so we can see that we need 4 Hot Dog packets and 5 buns packets.

Answer:

x=25

Step-by-step explanation:

25 degree angle is the same as x