What is -1 1/2 1 7/10 1 2/5 -1 4/5 from greatest

Answer:

b or c

Step-by-step explanation:

2×-1 +1= -1

-1>-3

2×0+1= 1

1>-3

For this reason the equality can be b or c

The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not given. A general approach to the question, is as follows:

First, identify the 27 mark on the box plot.

Next, count the number of data less than 27.

Take, for instance, there are 6  dots or marks before 27;

This means that 6 bags contain  less than 27 ounces

Answer:

Point C

Step-by-step explanation:

X axis is bottom row and Point C is directly on it.

The population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer as per the concept of statistics.

What are statistics?

A population is a total group from which a statistical sample is taken in statistics. Here, the manager only inquires about the fifth customer's pleasure after becoming interested in his drive-through staff. Therefore, those customers who do not use the drive-thru window at this restaurant are not part of the sample population about whom it is possible to inquire.

As a result, the population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer.

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The tortoise beetle is a type of beetle that feeds and lays its eggs on the leaves of two morning glory species: ipomoea pandurata and ipomoea purpurea.

These beetles are known for their unique shell-like appearance, which provides them with a layer of protection against predators. When it comes to feeding, tortoise beetles consume the leaves of these morning glory plants, which can cause damage to the foliage. This can affect the overall health of the plants, as well as their ability to produce flowers and seeds. Additionally, the beetles may lay their eggs on the leaves of these plants, which can lead to further damage as the larvae hatch and begin to feed. It's worth noting that while tortoise beetles can be a nuisance for gardeners and plant enthusiasts, they do play an important role in the ecosystem. They are considered beneficial insects, as they help to control the population of other pests that may be harmful to plants. In summary, the tortoise beetle feeds and lays eggs on the leaves of ipomoea pandurata and ipomoea purpurea. While they can cause damage to these plants, they also serve a valuable purpose in controlling other pests in the ecosystem.

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According to the information given, the correct hypotheses for a one-sample z-test for a population proportion p are:

\(H_0: p = 0.9\)

\(H_1: p < 0.9\)

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A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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In linear equation, The actual height of the statue is 300 feet.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.  

                                  Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

A scale factor of a famous statue uses a scale factor of 250:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?

= 1.2 x 250

The actual height of the statue is 300 feet.

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Answer:(D) 300

Step-by-step explanation: the scale factor is 250:1 and the Hight of the drawing is 1.2 feet you need to multiply 1.2 by 250

1.2 x 250 = 300

I believe it is .004 or 4 thousandths

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

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

Explanation:

The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4

Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.

Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.

We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b

y = mx+b

6 = (4/3)(3) + b

6 = 4+b

6-4 = b

2 = b

b = 2

The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.

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

Extra info:

If you want to convert to standard form Ax+By = C, then you could do the following steps

y = (4/3)x + 2

3y = 4x + 6 ... multiply everything by 3 to clear out the fraction

3y - 4x = 6

-4x + 3y = 6

4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0

Answer:

the square root of 225 is 15.9

Answer:

15.♾

Step-by-step explanation:

Answer: 170 cm

Step-by-step explanation: 5x12=60. 60+8=68. 68x2.5=170.

The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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(a) the height of the ball when it is launched is 5 feet.

(b) the ball hits the ground at approximately t = 4.32 seconds.

(c)the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

(d)the maximum height of the ball is approximately 31.88 feet.

a) When the ball is launched (at t = 0), we can find the height by substituting t = 0 into the equation h(t) = -16t^2 + 40t + 5.

h(0) = -16(0)^2 + 40(0) + 5 = 5

Therefore, the height of the ball when it is launched is 5 feet.

b) To determine when the ball hits the ground, we need to find the value of t when the height h(t) is equal to 0.

-16t^2 + 40t + 5 = 0

We can use a graphing calculator to find the roots or solve the quadratic equation using the quadratic formula.

Using the quadratic formula, t = (-b ± √(b^2 - 4ac)) / (2a), where a = -16, b = 40, and c = 5, we can calculate the values of t.

t = (-40 ± √(40^2 - 4(-16)(5))) / (2(-16))

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t ≈ 4.32 or t ≈ 0.18

Since time cannot be negative, we discard the negative value.

Therefore, the ball hits the ground at approximately t = 4.32 seconds.

c) To find when the height of the ball is 20 feet, we set h(t) = 20 and solve for t.

-16t^2 + 40t + 5 = 20

-16t^2 + 40t - 15 = 0

Using the quadratic formula, we can solve for t.

t = (-40 ± √(40^2 - 4(-16)(-15))) / (2(-16))

t = (-40 ± √(1600 + 960)) / (-32)

t = (-40 ± √(2560)) / (-32)

t ≈ 1.04 or t ≈ 3.46

Therefore, the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

d) The maximum height of the ball can be determined by finding the vertex of the parabolic equation. The vertex form of a quadratic equation is given by h(t) = a(t - h)^2 + k, where (h, k) represents the coordinates of the vertex.

In this case, a = -16. To find the vertex, we use the formula h = -b / (2a) and substitute the values.

h = -40 / (2(-16))

h ≈ 1.25

To find the maximum height, we substitute t = 1.25 into the equation.

h(1.25) = -16(1.25)^2 + 40(1.25) + 5

h(1.25) ≈ 31.88

Therefore, the maximum height of the ball is approximately 31.88 feet.

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Answer:

ye s1.8x10-4 is greater than 7.2x10-1

Step-by-step explanation:

The number 1.8*10⁻⁴ is smaller, not larger than 7.2*10⁻¹

We have two numbers in scientific notation, these are:

1.8*10⁻⁴

7.2*10⁻¹

We want to see if the first one is larger than the second one. This is trivial to notices, because the exponent in the first number is 3 orders of magnitude smaller than the other exponent, then the first number is smaller than the second, not larger.

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The pair of lines 4x - 3y = 6 and 3x - 4y = 2 are neither parallel nor perpendicular.

To find if the pair of lines is parallel, perpendicular, or neither, follow these steps:

Therefore, the pair of lines 4x - 3y = 6 and 3x - 4y = 2 are neither parallel nor perpendicular.

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Answer:

51.63m^3

Step-by-step explanation:

The figure is made up of a rectangle, triangle and a semi circle

Area of the figure = Area of triangle + rectangle + semicircle

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 3 * 5

Area of the triangle = 15/2

Area of the triangle = 7.5m^3

Area of the rectangle = Length * Width

Area of the rectangle = 6 * 5

Area of the rectangle = 30m^2

Area of the semicircle = πr²/2

Area of the semicircle = π(3)²/2

Area of the semicircle = 3.14(9)/2

Area of the semicircle = 3.14 * 4.5

Area of the semicircle = 14.13m^2

The area = 30 + 14.13+7.5

Area of the figure = 51.63m^3

Answer:

51.63m²

Step-by-step explanation:

Answer:

2304 quarts

Step-by-step explanation:

An ice cream factory makes 320 quarts of ice cream in 5 hours. How many quarts of ice cream could be made in 36 hours?

From the above question

5 hours = 320 quarts

36 hours = x quarts

Cross Multiply

5 hours × x quarts = 320 quarts × 36 hours

x quarts = 320 quarts × 36 hours/5 hours

x quarts = 2304 quarts

Therefore, 2304 quarts of ice cream could be made in 36 hours.

Answer:

1, 17, 33, 49

Step-by-step explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

Answer:

see the file attached!!!!

Answer:

(a)$50

(b)$160

Explanation:

The equation that represents the charge per customer is:

Part 5

When one person goes horseback riding for 3 hours.

x=3

Part 6

If one person goes horseback riding for 2 hours:

Since they are a family of 4, the cost will be:

Part 7

In the equation:

The y-intercept, $20 represents the cost of entry to the ranch. It means that even if a person does not go horseback riding, they will still pay the $20.

The cooling of the coffee can be modeled by a first-order linear ordinary differential equation.

(a) The differential equation representing the cooling of the coffee can be expressed as:

\(\(\frac{{dT}}{{dt}} = -k(T - T_r)\),\)

where \(\(\frac{{dT}}{{dt}}\)\) is the rate of change of temperature with respect to time, \(\(T\)\) is the temperature of the coffee, \(\(T_r\)\) is the temperature of the surrounding room, and \(\(k\)\) is the cooling constant.

In this case, the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Therefore, we can substitute these values into the equation:

\(\(\frac{{dT}}{{dt}} = -k(T - T_r) = -k(T - 20)\),\)

where \(\(T_r = 20\textdegree C\)\) and \(\(T = 70\textdegree C\)\).

(b) To find the limiting value of the temperature, we can set \(\(\frac{{dT}}{{dt}}\)\) equal to zero and solve for \(\(T\)\):

\(\(-k(T - 20) = 0\).\)

Simplifying the equation, we get:

\(\(T = 20\textdegree C\).\)

Therefore, the limiting value of the temperature is 20°C.

(c) We can use Euler's method with a step size \(\(h = 2\)\) minutes to estimate the temperature of the coffee after 10 minutes, \(\(y(10)\)\).

To apply Euler's method, we start with the initial condition \(\(T(0) = 85\textdegree C\)\) and iterate using the following update rule:

\(\(T_{n+1} = T_n + h \cdot \frac{{dT}}{{dt}}\).\)

Substituting the given values into the equation, we have:

\(\(T_{n+1} = T_n - 2k(T_n - 20)\).\)

We need to find \(\(T_{10}\)\), so we will perform 5 iterations (since \(\(h = 2\)\) minutes):

\(\(T_1 = T_0 - 2k(T_0 - 20)\),\\\\\(T_2 = T_1 - 2k(T_1 - 20)\),\\\\\(T_3 = T_2 - 2k(T_2 - 20)\),\\\\\(T_4 = T_3 - 2k(T_3 - 20)\),\\\\\(T_5 = T_4 - 2k(T_4 - 20)\).\)

Now, we can substitute the given values \(\(T_0 = 85\textdegree C\)\), \(\(T_r = 20\textdegree C\)\), and the cooling rate \(\(k\)\) into the iterations.

Evaluating the iterations, we find:

\(\(T_1 \approx 78.00\textdegree C\),\\\\\(T_2 \approx 76.00\textdegree C\),\\\\\(T_3 \approx 74.00\textdegree C\),\\\\\(T_4 \approx 72.00\textdegree C\),\\\\\(T_5 \approx 70.00\textdegree C\).\)

Therefore, the estimated temperature of the coffee after 10 minutes using Euler's method with a step size of \(\(h = 2\)\) minutes is \(\(y(10) \approx 70.00\textdegree C\)\).

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Answer:

98

Step-by-step explanation:

B456789X+235575336

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

The required volume of the given solid is (√16 - r²) -(-√16 - r²).

The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.

Volume and the notion of length are connected.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.

The cubic meter (m3), a derived unit, is the SI unit of volume.

So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.

We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.

The solid's volume is (√16 - r²) -(-√16 - r²).

Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).

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Correct question:

Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.

The value of the 43rd term of the arithmetic sequence will be 482.

Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a + L]

Sₙ = (n/2) [2a + (n − 1) d]

An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.

160 = (8/2)(2a + 7d)

2a + 7d = 40                        ...1

880 = (20/2)(2a + 19d)

2a + 19d = 88                       ...2

From equations 1 and 2,

40 - 7d + 19d = 88

12d = 48

d = 4

Then the value of 'a' is given as,

2a + 7(12) = 40

2a = 40 - 84

2a = -44

a = -22

The value of the 43rd term is given as,

aₙ = a + (n - 1)d

a₄₃ = - 22 + (43 - 1)(12)

a₄₃ = - 22 + 42 x 12

a₄₃ = - 22 + 504

a₄₃ = 482

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Answer:

D- 99 1/4 ; $992.50

Step-by-step explanation:

6 5/8 was the closing price of the bond. $6625 was the dollar amount. Therefore, the correct option is option B.

The final transaction price of a securities before the market formally shuts for regular trading is known as the closing price or cash value. Investors typically use closing prices as a benchmark for evaluating a stock's performance over the previous day, and they are widely used to create line graphs that show historical price fluctuations over time.

The stock price that after market closes may be impacted by dividends or stock splits; these are taken into account in the adjusted closing price. While in much lower quantities, the majority of stocks as well as other investment vehicles are traded after business hours. 6 5/8 was the closing price of the bond. $6625 was the dollar amount.

Therefore, the correct option is option B.

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Answer:

40y-8

8(5y-1) is the answer