Bill weighs 120 lb and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month.

How much will Bill and Phil weigh when they weigh the same amount? Answer (write the number only)
​

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

5

Step-by-step explanation:

Using Pythagoras' identity

The horizontal distance between A and B is 3 units

The vertical distance between A and B is 4 units

Thus

AB = \(\sqrt{3^3+4^2}\)

      = \(\sqrt{9+16}\)

      = \(\sqrt{25}\)

      = 5

Answer:

  10, 11, 13, 16, 20

Step-by-step explanation:

Any 4 numbers can be added to the sequence starting with 10. Perhaps you're supposed to use a rule to choose the numbers. For any 4 numbers you might add to the sequence, a rule can be determined.

The rules we usually use are ones that require a constant difference or a constant ratio. The sequence shown above uses the rule that the difference from the previous value is 1 more than the difference between the previous two values.

Answer:

i second the answers 1 (∠R corresponds to ∠P'QQ') & 4 (Side RQ corresponds to side QQ')

Step-by-step explanation:

e d g e 2020

have a good day bruvs :)

Answer:

1 and 4. got it right edu2020.

Step-by-step explanation:

Triangle PQR was dilated according to the rule  DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q.

On a coordinate plane, (0, 0) is the center of dilation. Triangle P Q R is dilated to create triangle P Q prime Q. Triangle P Q R has points (negative 2, 2), (negative 2, 4), and (negative 1, 2). Triangle P prime Q prime Q has points (negative 4, 4), (negative 4, 8), and (negative 2, 4).

Which statements are true? Select two options.

∠R corresponds to ∠P'QQ'.

∠PQR corresponds to ∠QPQ'.

Segment QQ' is parallel to segment PP'.

Side RQ corresponds to side QQ'.

△PQR ≅ △P'Q'Q

Answer:

151, 29, 151

Step-by-step explanation:

\(m\angle 2=29^{\circ}\) (vertical angles)

\(m\angle 1=m\angle 3=151^{\circ}\) (linear pair)

Answer:

\(m \angle 1= \boxed{151}\;^{\circ}\\\\m \angle 2= \boxed{29}\;^{\circ}\\\\m \angle 3= \boxed{151}\;^{\circ}\)

Step-by-step explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 29° = 180°

⇒ m∠3 = 151°

Vertical Angle Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Applying the Vertical Angle Theorem:

Answer:

-4,-1,4,11

Step-by-step explanation:

f(n)=n^2-5

Let n= 1

f(1)=1^2-5 = 1-5 = -4

Let n= 2

f(2)=2^2-5 = 4-5 = -1

Let n= 3

f(3)=3^2-5 = 9-5 = 4

Let n= 4

f(4)=4^2-5 = 16-5 = 11

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

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The equation to express the relationship will be y = 5.05 + 2.45x.

Worth of the card = $5.06

It should be noted that the card increases by $2.45.

Therefore, the equation to express the relationship will be:

y = 5.06 + (2.45 × x)

where x = number of years.

y = value of the card.

y = 5.05 + 2.45x

In conclusion, the equation to express the relationship will be y = 5.05 + 2.45x.

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The answer choice which correctly represents a scenario modelled by the given equation as required is; A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is x, $56.12.

As evident in the task content; the given equation is; (x) (0.65) = 36 dollars and 48 cents which can be written algebraically as;

0.65x = 36.48

x = 36.48 / 0.65

x = $56.12.

On this note, by observation; it follows that 0.65 is equivalent to 65% and hence, it can be inferred that;

The original price of the boots is; x which is equal to $56.12 and whose 65% equivalent is; $36.48.

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Answer:

c on edge

Step-by-step explanation:

i hate edge

The probability of event B is 0.5.

The Probability (P) is the ratio of the number of favorable outcomes to the total number of outcomes. If the events A and B are independent events, then they will not influence each other, and the probability of their occurrence will be calculated separately.

Given: P(A) = 0.4P(A U B) = 0.64

Formula: P(A U B) = P(A) + P(B) - P(A ∩ B)

The Venn diagram for two events A and B is given below:

A Venn diagram is used to show the relative probabilities of events. The rectangle represents the sample space S, which contains all the possible outcomes. A is represented by the circle A, and B is represented by the circle B.

The shaded region represents A U B.

From the Venn diagram, we can see that P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.64

The probability of the intersection of events A and B is given by

P(A ∩ B) = P(A) + P(B) - P(A U B)

P(A ∩ B) = 0.4 + P(B) - 0.64

0.4 + P(B) - 0.64 = P(A ∩ B)

0.4 + P(B) - 0.64 = P(A ∩ B)

P(B) = P(A ∩ B) + 0.64 - 0.4

P(B) = P(A ∩ B) + 0.24

Probability (P) is always between 0 and 1.

P(A) = 0.4 (0 ≤ P(A) ≤ 1)

P(A U B) = 0.64 (0 ≤ P(A U B) ≤ 1)

P(B) = P(A ∩ B) + 0.24 (0 ≤ P(B) ≤ 1)

P(A U B) = P(A) + P(B) - P(A ∩ B)

0.64 = 0.4 + P(B) - P(A ∩ B)

P(B) = P(A ∩ B) + 0.24

Therefore, P(B) = 0.5

Explanation:

We are given the values of P(A) and P(A U B).

We are to find the value of P(B).

The formula P(A U B) = P(A) + P(B) - P(A ∩ B) is used to calculate P(B).

We can obtain the value of P(A ∩ B) by substituting the value of P(A) and P(A U B) in the above formula and simplifying it.

After obtaining the value of P(A ∩ B), we can substitute it in the formula P(B) = P(A ∩ B) + 0.24 to obtain the value of P(B).

Finally, we get P(B) = 0.5. Therefore, the probability of event B is 0.5.

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Answer:

Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

The common ratio would be 8:1.            

False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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Answer:

(-1, 9)

Step-by-step explanation:

given

\(y = - 3x + 6 \\ and \\ y = 9 \\ then \: we \: need \: to :\ find \: x \: so \: that \: when \: plugged \\ to \: - 3x + 6 \: the \: result \: is \: 9 \\ by \: transitive \: rule \\ y = 9 = - 3x + 6 \\ 9 = - 3x + 6 \: (substract \: both \: sides \: with \: 6) \\ 3 = - 3x \: (divides \: both \: sides \: with \: - 3) \\ - 1 = x\)

Answer:

the answer is c

Step-by-step explanation:

because i just took the test

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

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Check the picture below.

\(x^2=12^2 + (x-4)^2\implies x^2=144 +\stackrel{F~O~I~L}{(x^2-8x+16)}\implies 0=144-8x+16 \\\\\\ 8x=144+16\implies 8x=160\implies x=\cfrac{160}{8}\implies \boxed{8=20}\)

Answer:

The new price is $43.55.

Step-by-step explanation:

$67 * .35 = $23.45; this is your discount amount.

To find the new price.

$67(original price) - $23.45(35% discount) = $43.55

Answer:

A product that normally costs $67 with a 35 percent discount will cost you $43.55, and you saved $23.45.

Step-by-step explanation:

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The least-squares line predicts the healthy weight of the 15-week-old calves.

The least-squares line is a linear regression model that determines the best-fit line through a set of data points.

In this case, it is used to predict the healthy weight of the 15-week-old calves.

The line is based on a statistical analysis of historical data and aims to minimize the sum of the squared differences between the predicted and actual weights.

To calculate the predicted weight, we would need additional information such as the specific equation of the least-squares line and any relevant coefficients or parameters.

Using this equation, we can input the age of 15 weeks to obtain the estimated healthy weight.

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If circle has a diameter of 20 cm, the area of the circle is 100π square centimeters.

The area of a circle can be calculated using the formula:

A = πr²

where A is the area, π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter (approximately 3.14), and r is the radius of the circle.

In this case, we are given the diameter of the circle, which is 20 cm. To find the radius, we can divide the diameter by 2:

r = d/2 = 20/2 = 10 cm

Now that we know the radius, we can substitute it into the formula for the area:

A = πr² = π(10)² = 100π

We leave π in the answer since the question specifies to do so.

It's important to include units in our answer to indicate the quantity being measured. In this case, the area is measured in square centimeters (cm²), which is a unit of area.

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R6500 in the ratio of 3:4:6 is equal to R1,500, R2,000 and R3,000.

Given the following data:

To divide R6500 in the ratio of 3:4:6​:

In this exercise, you're required to divide the total amount of money in the ratio of 3:4:6. Thus, we would solve as follows:

For a ratio of 3:

\(Amount=\frac{3}{13} \times 6500\\\\Amount=\frac{19500}{13}\)

Amount = R1,500.

For a ratio of 4:

\(Amount=\frac{4}{13} \times 6500\\\\Amount=\frac{26000}{13}\)

Amount = R2,000.

For a ratio of 6:

\(Amount=\frac{6}{13} \times 6500\\\\Amount=\frac{39000}{13}\)

Amount = R3,000.

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The point (4, 3) is a viable solution.

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

Given:

A basket holds at most 14 pounds of apples and oranges.

There are at least 3 pounds of apples in the basket.

This graph shows the system that represents this scenario, where x is the weight of the apples and y is the weight of the oranges.

That means, we have the system of inequalities,

x + y ≤ 14,

x ≥ 3

Option B and C are discarded.

And y ≥ 0.

Option A is also discarded.

Substituting (4, 3),

x + y ≤ 14,

7  ≤ 14.

Therefore, (4, 3) is a solution.

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The complete question:

A basket holds at most 14 pounds of apples and oranges. There are at least 3 pounds of apples in the basket. This graph shows the system that represents this scenario, where x is the weight of the apples and y is the weight of the oranges. Which point represents a viable solution?

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph has a line with a slope of 1/2 beginning at the origin and extending as far as you like into the first quadrant.

Through direct proportionality, we calculated that Seven questions will be answered in 10 minutes and 30 seconds.

Seven questions will need to be answered in 10 minutes and 30 seconds.

Direct proportionality: What is it?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In mathematics, a straight line is used to express direct proportionality, and its equation is of the form y = kx , k = y/x, where [k] is the constant.

The assumption is that the time it takes to finish each question and the number of completed questions [y] are inversely proportional to one another.

The time [x] it takes to complete them is directly proportional to the number of questions [y] that are answered. As a result, y = kx, k = y/x, and y is directly proportional to x.

Thus, we can write:

y₁/x₁ = y₂/x₂

Substituting the values,

4/6 = 7/x₂

x₂ = (7 x 6)/4

x₂ = 21/2  

x₂ = 10.5

x₂ = 10 minutes 30 seconds

Therefore, Seven questions will be answered in 10 minutes and 30 seconds.

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The expression 0.3d = 0.95 could be used to find the number of dimes he has.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have joe who has dime and nickels in his piggy bank totaling $1.45 the number of nickels. He has is 5 more than twice the number of dimes [d].

We can write the the number of nickels as -

[n] = 2d + 5

0.1d + 0.1(2d + 5) = 1.45

0.1d + 0.2d + 0.5 = 1.45

0.3d = 0.95

Therefore, the expression 0.3d = 0.95 could be used to find the number of dimes he has.

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The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

\(\sqrt[n]{a}\)

where a is radicand and n is index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two, or a square root.

\(a^{1/2}\) =\(\sqrt{a}\)

Thus, the expression is not equal to the radicand.

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The expression is not equal to the radicand.

What is Radical Index?

The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.

The radical is defined by the expression

where a is radicand and n is an index.

The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two or a square root.

= a^(1/2)

Thus, the expression is not equal to the radicand.

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