A man needs to decrease his weight by 15%. He currently weighs 252 pounds. What will his new weight be once he has lost 15% of his current weight? Round to the nearest tenth of a pound.

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

Step-by-step explanation:

Bb

Answer:

Step-by-step explanation:

(a) the co-ordinates of the point where the line crosses the y-axis,

y intercept occurs when x = 0

y = 5 - 2(0)

y = 5

(0, 5)

(b) the gradient of the line,

the general line formula is y = mx + b, where m is the slope and b is the y intercept.

y = 5 - 2x

y = -2x + 5

m = -2

(c) the equation of a line parallel to L.

Parallel lines have the same slope, but different y intercepts.

The simplest parallel line formula is

y = -2x + 0

y = -2x

The formula for the slope is \(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{20-10}{2-1}\)

\(m=\frac{10}{1}\)

\(m=10\)

Hope this helps.

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Answer:

The answer is 10 minutes per mile!

Step-by-step explanation:

I hope this helped! :)

five and seventy-nine hundredths = 5.79

Answer:

c

Step-by-step explanation: got it     right on test

Answer: 120 gallons

3600/30=120 can I have brainlest

Step-by-step explanation:

The parabola \(y = √(x - 4)\) opens upward.

The parabola y = √(x - 4) represents the square root function of x minus 4. To determine the direction in which the parabola opens, we examine the behavior of the square root function.

The square root function (√x) returns non-negative values for non-negative inputs. Since the expression inside the square root, (x - 4), must be non-negative for real solutions, we have x - 4 ≥ 0. Solving this inequality, we find x ≥ 4.

This means that the parabola is defined for x values greater than or equal to 4. As we increase x from 4, the value of √(x - 4) will also increase. Therefore, the graph of the parabola opens upward.

The parabola \(y = √(x - 4)\) opens upward.

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Answer:  16x-23

Step-by-step explanation:

1) Distribute the 5 to the first parentheses

    10x-20-(-6x+3)

2) Distribute the negative sign

    10x-20+6x-3

3) Combine like terms

    16x-23

Answer:

Step-by-step explanation:

first you open up the parenthesis, to get:

10x-20-(-6x+3) = 10x-20+6x-3

then you subtract n both sides to get  16x -23

Answer:

246.76$

Step-by-step explanation:

199 x .24 =

47.76

199 + 47.76 =

246.76

Answer:

The question is not complete

Answer:

2 and 6

Step-by-step explanation:

Answer:

2 and 6

Step-by-step explanation:

Got a hundred on my test correct answer edge 2020

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

See below

Step-by-step explanation:

Colby made a mistake in the 4th line of his work, where he reduced the trinomial \(x^2-4x+4\) into \((x+2)^2\) instead of reducing it to \((x-2)^2\). He also did not square root both sides of the equation afterward before he made two seperate equations, leading to incorrect answers.

Continuing on from where Colby made his first mistake, this is how you would correctly solve the rest of the problem:

\((x-2)^2=9\\\\x-2=3\\\\x=5\\\\x-2=-3\\\\x=-1\)

Answer is in the photo. I can only upload it to a file hosting service. link below!

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Answer:

x is greater than -2 and less than or equal to 3

Step-by-step explanation:

so the 3x + 1 is greater than -5

so 3x is greater than -6

we divide both sides by 3

then we find out that x is greater than -2

we also know that 3x + 1 is less than or equal to 10

so 3x is less than or equal to 9

we divide both sides by 3

then we find out that x is less or equal to 3

so we can say that x is greater than -2 and less than or equal to 3

Answer:

P( B∩ A₁ ) = 0.25

P( B∩ A₂ )  = 0.08

P( B∩ A₃  ) = 0.06

Step-by-step explanation:

As we know that

P( B∩ A₁ ) = P( B| A₁) × P(A₁)

P( B∩ A₂ ) = P( B| A₂) × P(A₂)

P( B∩ A₃ ) = P( B| A₃) × P(A₃)

As we have

P(A₁) = 0.50, P(A₂) = 0.20, and P(A₃) = 0.30.

P(B | A₁) = 0.50, P(B | A₂) = 0.40, and P(B | A₃) = 0.20

⇒P( B∩ A₁ ) = P( B| A₁) × P(A₁)

                   = 0.50(0.50)

                   = 0.25

⇒P( B∩ A₁ ) = 0.25

Now,

⇒P( B∩ A₂ ) = P( B| A₂) × P(A₂)

                   = 0.40(0.20)

                   = 0.08

⇒P( B∩ A₂ )  = 0.08

Now,

⇒P( B∩ A₃ ) = P( B| A₃) × P(A₃)

                   = 0.20(0.30)

                   = 0.06

⇒P( B∩ A₃  ) = 0.06

∴ we get

P( B∩ A₁ ) = 0.25

P( B∩ A₂ )  = 0.08

P( B∩ A₃  ) = 0.06

Answer:

$502.40

Step-by-step explanation:

Kristen works 38 hours for $6.80 per hour.

We multiply her pay and the hours she worked:

                   38 × 6.8 = 258.4

Thus, she makes $258.40/week

                   Now we add her tips, which would be the equation 258.4 + 224

     258.4 + 224 = 502.4

So, she made $502.40 in 1 week

Using confidence interval concepts, it is found that the incorrect statement is given by:

B. The population proportion is 0.80.

In a sample of n people with a proportion of \(\pi\), and a confidence level of \(1-\alpha\), we the confidence interval for the proportion is:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which  z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

80 developed immunity out of 100, thus, the sample proportion is:

\(\pi = \frac{80}{100} = 0.8\)

Option A is correct.

The standard error is:

\(s = \sqrt{\frac{\pi(1-\pi)}{n}}\)

Considering \(n = 100\)

\(s = \sqrt{\frac{0.8(0.2)}{100}} = 0.04\)

Thus, statement E is correct.

90% confidence level, thus the critical value is the value of z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(z = 1.645\), which means that statement D is correct.

The margin of error is:

\(M = zs = 1.645(0.04) = 0.0658\)

Thus, statement C is correct, which leaves B as the false statement, as we have the sample proportion, and we can only estimate, not guarantee the population proportion.

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The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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Answer:

2 61/162

Step-by-step explanation:

Answer:

Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation

Step-by-step explanation:

Answer:

5 (100y -601.39)

3028

Step-by-step explanation:

The solution set of the inequalities given in the task content is described as; (-infinity, -17) U [ -9, infinity).

It follows from the task content that the solution set containing values of w which render the pair of inequalities true be determined.

On this note, since the inequalities given are;

-14 > w + 3 or 3w ≥ -27

By solving the inequalities individually; we have;

-14 > w + 3

Subtract 3 from both sides of the equation so that we have;

-14 - 3 > w; Therefore, -17 > w.

Also, 3w ≥ -27

Therefore; w ≥ -9.

On this note, it follows that; w < -17 or w ≥ -9.

Consequently, the solution set of the inequalities can be represented using interval notation as;

(-infinity, -17) U [ -9, infinity)

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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

I think its −1306800x+91040454

Step-by-step explanation:

Let's simplify step-by-step.

32+100(−3x+209)(662)+11+34

Distribute:

=32+−1306800x+91040400+11+34

=9+−1306800x+91040400+11+34

Combine Like Terms:

=9+−1306800x+91040400+11+34

=(−1306800x)+(9+91040400+11+34)

=−1306800x+91040454

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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