convert the following equation into standard form.
y= -2x/7 + 5

Answer:

30 apples left

Step-by-step explanation:

169 - 139

=30 apples left  ( basic subtraction ) lols

Answer:

Full drum 80 dollars

one lid missing

earn 10 dollars less

Step-by-step explanation:

We need to find the surface area

SA = 2 pi r^2  + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2  + 2 * pi * 1 * 3

      = 2 pi + 6pi

      = 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA =  pi r^2  + 2 pi rh

        pi + 6pi

        7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars

Answer:

\(\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

\(\rule[225]{225}{2}\)

From SOHCAHTOA.

Cos37 = x/25

x= 25cos37

x=21.5 = 22.

When rounded to the nearest integer... 20

Option A is legit

Answer:

The correct answer is B. 15

Step-by-step explanation:

Ap3x Approved

Answer:

\( f(x) = 2x ^{2} + 7x - 4\)

Step-by-step explanation:

\( \because \: f(x) = (2x - 1)(x + 4) \\ \therefore \:f(x) = 2x(x + 4) - 1(x + 4) \\ \therefore \:f(x) = 2x ^{2} + 8x - x - 4 \\ \therefore \:f(x) = 2x ^{2} + 7x - 4 \\ \)

Answer:

15 + 7= 22

Step-by-step explanation:

The numbers in order from least to greatest are -20, -9, -5, -2, 2.2, 2.5, 2.7

The absolute value of 34 is |34|

The winner of the tournament is Whitney who scored -16.

February 2nd was warmer with a high temperature of 48 °F.

Chicken salad > Hamburger

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.

It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

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Yes, you can still cover the remaining squares with dominoes. The necessary and sufficient condition for this to work is that the chessboard originally had an even number of squares.


A standard chessboard has 64 squares. If one corner square is missing, we are left with 63 squares. Each domino covers exactly 2 squares, so we need 31.5 dominoes to cover the remaining squares. Since we cannot use half a domino, this means we need a whole number of dominoes. Therefore, the number of squares must be even.

Conversely, if the chessboard originally had an even number of squares, then we can remove any one square and still have an odd number of squares left. Since each domino covers 2 squares, it is easy to see that we can always cover an odd number of squares with dominoes, by placing one domino vertically in the middle of the board. Therefore, in this case we can also cover the remaining squares with dominoes.

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On solving the provided question we can say that - the removable discontinuity of f(x) located is -5

Discontinuous functions in graphs are those that have no connections to one another. Discontinuities come in three different flavors: removable, jump, and infinite.. If the left limit and the right limit of a function, f(x), are both different, then the function has a first-kind discontinuity at x = a. a characteristic that cannot be mathematically continuous. Continuous functions allow you to sketch without having to lift your pen. In such a case, the function is said to as discontinuous.

here,

f(x) = \(\frac{x+5}{x^2+3x-10}\)

\(x^2+3x-10\)

x(x+5) - 2(x+5)

(x+5 )(x-2 )

x = 2, -5

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The total floor-space area of two rooms whose dimensions (width and length) of room1 have been read into two variables width1 and length1 and the dimensions of room2 have been read into two other variables width2 and length2 can be calculated by using the following expression: `(width1 * length1) + (width2 * length2)`

In this expression, `(width1 * length1)` calculates the floor space of the room1 and `(width2 * length2)` calculates the floor space of room2.

When both of these floor spaces are added using the "+" operator, the result is the total floor-space area of the two rooms.

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Answer:

Isosceles

Step-by-step explanation:

EXPLANATION

In order to order the real numbers from least to greatest we need to consider that we need to draw a number line.

The line scale marks are equally spaced and usually represent integers.

To plot a real number:

Draw and label a number line

Find where the number is on the number line and place a dot on the numbers.

Plotting Real numbers on the Number Line

Example: Graph the number 3/2 and -3.5 on a number line.

Comparing Real Numbers:

In order to compare the real numbers, we need to replace the blank with > , < or = to make a true sentence.

Example:

2/7 < 0.5

3/2 > 0.5

4/4 = 1

When we are asked to order numbers from least to greatest we can use the number line to help us to plotting the numbers and reordering them.

A strategy we can use here is to convert the numbers to decimals and then plot and/or order them as requested.

To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.

Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,

and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.

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Step-by-step explanation:

To figure out how much smaller Max's sandbox is, we will divide 25 by 10, 25/10 = 2.5. Max's sandbox is 2.5 times smaller than the one in the park.

To find x we will divide 15 by 2.5 to keep the proportions the same, 15/2.5 = 6, so x = 6 feet.

To find y, we will do the same but with 12.5, 12.5/2.5 = 5, so y = 5 feet.

To find the perimeter, we will add all the sides together, 10 + 6 + 5 = 21, so the perimeter of Max's sandbox is 21 feet.

Hope this helps!

\(6w + 3 - 10w = 7w - 8 \\ = > 6w - 10w - 7w = - 8 - 3 \\ = > - 11w = - 11 \\ = > w = \frac{ - 11}{ - 11} \\ = > w = 1\)

1

ray4918 here to help

Answer: 64/16

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x\(\frac{x^{2} }{y^{4} } \\ x=8, y=2\\=\frac{8^{2} }{2^{4} } \\=\frac{64}{16} \\=4\)

The height of water left in the can  is determined as 9.9 cm.

option B.

The height of water left in the can is calculated by the difference between the volume of a cylinder and volume of a cone.

The volume of the cylindrical can is calculated as;

V = πr²h

where;

V = π(4.6 cm)²(13.5 cm)

V = 897.43 cm³

The  volume of the cone is calculated as;

V = ¹/₃ πr²h

V = ¹/₃ π(5.1 cm)²( 8.7 cm )

V = 236.97 cm³

Difference in volume =  897.43 cm³ - 236.97 cm³

ΔV = 660.46 cm³

The height of water left in the can  is calculated as follows;

ΔV = πr²h

h = ΔV /  πr²

h = ( 660.46 ) / (π x 4.6²)

h = 9.9 cm

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(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

(1, -1)

Step-by-step explanation:

we isolate y in the first equation

2x+y=1

-2x.  -2x

y=1-2x

and now we fill y into second equation

4x-2(1-2x)=6

4x-2+4x=6

8x-2=6

   +2 +2

8x=8

/8 /8

x=1

and now to find y we insert x

2(1)+y=1

2+y=1

-2.   -2

y= -1

hopes this helps

The parameterized solution to the linear equation -7x + 4y - 8z = 4 is [x, y, z] = [s/7 - 8t/7 - 4/7, s, t], where s and t are parameters.

To parameterize the solutions to the linear equation -7x + 4y - 8z = 4, we can express the variables in terms of parameters.

Let's start by isolating one variable in terms of the others. We'll solve for x.

-7x + 4y - 8z = 4

Rearranging the terms, we have:

-7x = -4y + 8z + 4

Dividing by -7, we get:

x = (4/7)y - (8/7)z - (4/7)

Now, we can express y and z in terms of parameters. Let's choose two parameters, s and t.

Let s = y and t = z.

Substituting these values into the expression for x, we have:

x = (4/7)s - (8/7)t - (4/7)

Now, we can write the solution in vector form:

[x, y, z] = [(4/7)s - (8/7)t - (4/7), s, t]

Simplifying further:

[x, y, z] = [s(4/7) - t(8/7) - (4/7), s, t]

Taking out common factors:

[x, y, z] = [(4s - 8t - 4)/7, s, t]

Finally, we can write the solution in vector form:

[x, y, z] = [s/7 - 8t/7 - 4/7, s, t]

So, the parameterized solution to the linear equation -7x + 4y - 8z = 4 is [x, y, z] = [s/7 - 8t/7 - 4/7, s, t], where s and t are parameters.

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Answer:

D

Step-by-step explanation:

X3+3x2+5x+2x2+6x+10

Collect like terms

X3+5x2+11x+10

The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

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 expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Now,

Solve the expression for the factors as;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Since, -2 is the solution of the expression.

Hence, (x + 2) is one of the factor of the expression.

So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)

by (x + 2), we get;

x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5

         x³ + 2x²

        --------------

               3x² + 11x

               3x² + 6x

             ------------------

                       5x + 10

                       5x + 10

                   --------------------

                           0

Thus, The second factor = (x² + 3x + 5)

Therefore,        

x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)

Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

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Answer:   B

Step-by-step explanation:  ¼ + ⅔ = 11/12

To find the probability of the call lasting less than 230 seconds, we have to find P(X<230). Here X follows normal distribution with mean = 290

The given data: Meanμ = 290 seconds

Standard deviation σ = 30 seconds

Sample size n = 1000a) and

standard deviation = 30.

We get the value of 0.0228, which represents the area left (or below) to z = -2. Therefore, the probability that the call lasted less than 230 seconds is 0.0228 (or 2.28%). By using z-score formula;

Z=(X-μ)/σ

Z=(230-290)/30

= -2P(X<230) is equivalent to P(Z < -2) From z-table,

0.6384 (or 63.84%) P(230330) is equivalent to 1 - P(X<330)Here X follows normal distribution with mean = 290 and standard deviation = 30.From part b,

We already have P(X<330).Therefore, P(X>330) = 1 - 0.9082 = 0.0918, which is equal to 9.18%. Therefore, the probability that the call lasted more than 330 seconds is 0.1356 (or 13.56%).Answer: 0.1356 (or 13.56%). In parts a, b, and c, the final probabilities are rounded off to four decimal places as needed, as per the instructions given. However, these values are derived from the exact probabilities and can be considered accurate up to that point.

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Answer:

a

Step-by-step explanation:

10+10+20+20=60

20+40=60

1. 17x - 3

2. 5m + 4n

3.-11x + 11

4. 6k + 1

5. 5xy + 7x

6. 7x - 19

7. 14a - 3b + 4

8. 6m - n

9. -a + 2n + 7

10. 6a

Answer:

km square is the area and square km is the same as km square

Answer: 1, 3, 6

Step-by-step explanation:

Answer:

All whole numbers are integers

Step-by-step explanation:

But at the same time not all integers are whole numbers. Integers can be positive or negative but whole numbers can not be.

Answer:

I know that the bank account one is b I am not sure on the other one I'm sorry

Answer:

6. B 7. C 8. A 9. D 10. C

Step-by-step explanation:

Answer:

Step-by-step explanation: