Is 4.15 larger, smaller or equal to 415 tenths.

Unit price = total price / quantity

Unit price = 45.50 / 10

Unit price = $4.55

Answer:

$4.55 because I look it up

Answer:

Step-by-step explanation:

The square root of 125 is equal to 5√5 or 11.18 (approximately).

Below:- see both pictures

Answer:

The square root of 125 is between [D. 11 and 12] .

Step-by-step explanation:

So, the gradient of f at the point (1,2,2) is: ∇f(1,2,2) = (1/2) i + (1/4) j + (1/2) k where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

To find the gradient of the function f(x,y,z) at the point (1,2,2), we need to find the partial derivatives of f with respect to x, y, and z and evaluate them at the given point.

So, we have:

f(x,y,z) = (x^2 y^2 z^2)^(-1/2) ln(xyz)

∂f/∂x = (-1/2) (x^2 y^2 z^2)^(-3/2) (2xy^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= (-xy^2 z^2)/(x^2 y^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= -y^2 z^2/(x^2 y^2 z^2) + 1/xsqrt(x^2 y^2 z^2)

= -1/(xyz) + 1/x

∂f/∂y = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 2yz^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= (-x^2 yz^2)/(x^2 y^2 z^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= -x^2/z^2 + 1/ysqrt(x^2 y^2 z^2)

= -x^2/(z^2 y) + 1/y

∂f/∂z = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 y^2 2z) + (1/z) (x^2 y^2 z^2)^(-1/2)

= (-x^2 y^2 z)/(x^2 y^2 z^2) + (1/z) (x^2 y^2 z^2)^(-1/2)

= -x^2 y^2/(z^2 x^2 y^2) + 1/zsqrt(x^2 y^2 z^2)

= -x^2 y^2/(z^3) + 1/z

Now we can evaluate these partial derivatives at the point (1,2,2):

∂f/∂x (1,2,2) = -1/(122) + 1/1 = 1/2

∂f/∂y (1,2,2) = -1/(222) + 1/2 = 1/4

∂f/∂z (1,2,2) = -1/(122) + 1/2 = 1/2

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Answer:

non function because there are 2 arrows coming from the 4

The graphical representation in the sample that would be best for her data is a bar graph.

It should be noted that based on the information, the doctor gathered data from a random sample of 10 pediatricians in the state and wanted to create an appropriate graphical representation for the data.

It should be noted that the bar graph will be applicable. This is because it will display the categories of data with a bar to represent the blood pressure of the children.

This can then be used to analyze the needed information.

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Answer:

6.7ft

Step-by-step explanation:

190÷28=6.7 is correct

If the stiffness of the cord is no less than 28 pounds per foot, the cord stretch will be approximately 7 feet long

Given the equation that related the stiffness of the cord is expressed as:

\(K=\frac{(2W(S+L))}{S^2}\) where:

W is the weight

K = cord stiffness (pounds per foot)

L = free length of cord (feet)

S = stretch (feet)

Given the following parameters

W = 190 pounds

L = 52 feet

k = 28 pounds per foot

Required

Stretch S

Substitute the given expressions into the equation above to have:

\(28=\frac{(2(190)(S+52))}{S^2}\\28S^2=380(S+52)\\28S^2 = 380S+19,760\\28S^2 - 380S-19,760=0\\\)

On factorizing the result

The stretch is approximately 7 feet long

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

Work Shown:

Segments AB, BC, CD, DA, and DN are all the same length (4 units)

The semicircle has area of

A = (1/2)*pi*(radius)^2

A = 0.5*pi*2^2

A = 2pi

The square has area of

B = (side length)^2

B = 4^2

B = 16

The trapezoid has area of

C = (height)*(base1+base2)/2

C = (DN)*(CD+MK)/2

C = (4)*(4+8)/2

C = 24

Add up the results of A, B and C to get the total area

A+B+C = 2pi+16+24 = 2pi+40

The total area is 2pi+40 square mm

The area of the figure will be 2π + 40 mm². Then the correct option is C.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The figure is made by semicircle, square, and trapezium. Then the area is given as,

A = Area of a semicircle + Area of square + Area of trapezium

A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN

A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4

A = 2π + 16 + 24

A = 2π + 40 mm²

The area of the figure will be 2π + 40 mm². Then the correct option is C.

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The equations that represent a cylinder in space are d), e), and f). The equation that represents a cylinder in space is:

(x - a)^2 + (y - b)^2 = r^2

where (a, b) is the center of the circular base of the cylinder and r is the radius of the circular base.

Based on this equation, we can identify the equations that represent a cylinder in space:

d) xy = 8 (a cylinder with the circular base of radius 2 and axis along the z-axis)

e) x^2 + y^2 = 2z (a cylinder with the circular base of radius sqrt(2) and axis along the z-axis)

f) z = xy (a cylinder with the circular base of radius 0 and axis along the z-axis)

Therefore, the equations that represent a cylinder in space are d), e), and f).

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The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

Glenn needs to stop shopping for laptops at retail stores and just use ebay

Step-by-step explanation:

it's cheaper

The equation for the least squares regression line for predicting height from foot length is :

predicted height = 91.9766 + 6.47044 (foot length).

To find the equation for the least squares regression line for predicting height from foot length, we need to use the given computer output. Here is the computer output:

The regression equation is:

y^ = b0 + b1x

where

b0 = 91.9766 and b1 = 6.47044

Therefore, the equation for the least squares regression line for predicting height from foot length is:

predicted height = 91.9766 + 6.47044 (foot length)

Thus, the correct answer is:

predicted height = 91.9766 + 6.47044 (foot length)

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Answer:

32

Step-by-step explanation:

Hope it helps!!

1. The standard deviation of the sampling distribution is not 115 mmHg. To calculate it, use the formula σ/√n, where σ is the population standard deviation, and n is the sample size. In this case, σ = 3 mmHg and n = 100. So, the standard deviation of the sampling distribution is 3/√100 = 3/10 = 0.3 mmHg.

2. Your answer of 0.03 mmHg is incorrect. As calculated above, the correct standard deviation of the sampling distribution is 0.3 mmHg.

3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which in this case is given as a Normal distribution.

4. Your 95% CI calculation is incorrect. To calculate the 95% CI, use the formula µ ± (critical value * standard deviation of the sampling distribution). In this case, µ = 115 mmHg, the critical value is 1.96, and the standard deviation of the sampling distribution is 0.3 mmHg. So, the 95% CI is 115 ± (1.96 * 0.3) = 115 ± 0.588. This results in a 95% CI of 114.41-115.59 (rounded to two decimal places).

The standard deviation of the sampling distribution is 0.3 mmHg. It is true that to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. The 95% CI for the sampling distribution of the mean blood pressure is 114.41-115.59.

1. Your answer is incorrect.

The standard deviation of the sampling distribution is calculated using the formula:

the standard deviation of the population / √(sample size).

In this case, it would be

3 mmHg / √(100) = 3 mmHg / 10

The standard deviation of the sampling distribution = 0.3 mmHg.

2. Your answer is incorrect, as explained in the previous point. The correct standard deviation of the sampling distribution is 0.3 mmHg.

3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which is given as a Normal distribution.

4. Your answer is close but slightly off.

To calculate the 95% CI (confidence interval) for the sampling distribution of the mean blood pressure, we use the formula:

average ± (critical value × standard deviation of the sampling distribution).

In this case, it would be

115 ± (1.96 × 0.3) = 115 ± 0.588.

So, the correct 95% CI is 114.41-115.59 when rounded to two decimal places.

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Answer: D. f(n) = 60 + 10n.... algebra.com

f(n) = 10 + 60n

f(n) = 60 + 10n

f(n) = 10n � 55

f(n) = 10 � 55n

ANSWER: f(n)=$60+$10n

Step-by-step explanation: D. f(n) = 60 + 10n.... brainly.com

She charges $60 to design the party

So we know we need to add 60. So 60 +  

then $10.00 per child

10 dollars per child mean 10 times # of children so we have:

10n

Put it all together:

60 + 10n

f(n) = 60 + 10n

Answer:

Luis paid 3/5 of the original price

Step-by-step explanation:

Luis purchased a laptop with a fractional discount of 2/5 of the original price.

When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:

Paid price + Discount price = Original price

Or, equivalently:

paid fraction + discount fraction = 1

From the above relation, it follows that:

paid fraction = 1 - discount fraction

\(\displaystyle \text{paid fraction }=1-\frac{2}{5}\)

\(\displaystyle \text{paid fraction }=\frac{5-2}{5}\)

\(\displaystyle \text{paid fraction }=\frac{3}{5}\)

Luis paid 3/5 of the original price

Answer:

#1 Is 7 Students

#2 Is 9 Students

#3 Is 16 Students

#4 is 125 tables

Purposive sampling is a sampling technique in which the sample is selected based on the researcher's knowledge and judgment of the population. It is a non-probability sampling method that is commonly used in qualitative research, where the researcher wants to investigate specific characteristics or features of a particular population.

When the selection of the place and, consequently, prospective respondents is subjective, rather than objective, it is called purposive sampling.Purposive sampling is a non-probability sampling technique that is used by researchers when they want to investigate specific characteristics or features of a particular population. In this type of sampling, the selection of the sample is based on the researcher's judgment, knowledge, and experience rather than on random selection.

The researcher chooses individuals, groups, or places that are considered to be representative of the population and that are most likely to provide the desired information. This method is often used in qualitative research, where the researcher is interested in gaining in-depth insights into a particular phenomenon, event, or group.

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Answer:

= 9.5

Step-by-step explanation:

Answer:

x > 22/7

_________________________________________

Notice*

Because there are no options, we must find it algebraically.

_____________________________________________

Let's solve your inequality step-by-step.

−4(x+7)<3(x−2)

Step 1: Simplify both sides of the inequality.

−4x−28<3x−6

Step 2: Subtract 3x from both sides.

−4x−28−3x<3x−6−3x

−7x−28<−6

Step 3: Add 28 to both sides.

−7x−28+28<−6+28

−7x<22

Step 4: Divide both sides by -7.

-7x/-7 = 22/-7

x > -22/7

Answer:

x > −22/7

Answer:

2 may be the greatest one.

Answer:

12

Step-by-step explanation:

12

Step-by-step explanation:

For y/x to be as high as possible, y must have the highest possible value and x must have the lowest possible value. (12 and 6)

Hence, y/x < 12/6, which is 2.

For y/x to be as low as possible, y must have the lowest possible value and x must have the highest possible value (10 and 7)

Hence, y/x > 10/7.

Combining the 2 inequalities, we have 10/7 < y/x < 2.

Answer:

i love this one 123465678891011121314

The case 1 (a certificate of deposit (CD) ) will earn more interest.

Simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

Given

Case 1:

Principal  p = $500

Time t = 3 years

Rate of interest r = 2%

Based on the given conditions

Simple Interest = \(\frac{prt}{100}\)

= \(\frac{500(2)(3)}{100}\)

= $30

Case 2:

Principal  p = $250

Time t = 2 years

Rate of interest r = 3%

Based on the given conditions

Simple Interest = \(\frac{prt}{100}\)

= \(\frac{250(3)(2)}{100}\)

= $15

The case 1 CD will earn more interest.

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Answer: 15.089, 15.159

The domain of the function is all real numbers because there are no restrictions on the values of x. Therefore, the overall range of the function is {1} ∪ [3, ∞).

In mathematics, a function is a rule that assigns a unique output value to each input value. A function is typically denoted by a symbol, such as f(x), where f is the name of the function and x is the input variable. The output value of the function is denoted by f(x), which means "the value of the function f at x". A function takes input values from a set called the domain, and produces output values from a set called the range. The domain and range can be any set of numbers, such as the real numbers, integers, or even complex numbers.

Here,

The given function is:

f(x) =

1, x+2, x < -2

2, x²+2x+3, x > -2

To create a table of values, we can choose some values of x and plug them into the function to find the corresponding values of f(x):

x f(x)

-3 -1

-2 -2

-1 4

0 3

1 6

The domain of the function is all real numbers because there are no restrictions on the values of x.

The range of the function depends on the two cases:

For x < -2, the value of f(x) is always 1, so the range of f(x) in this case is {1}.

For x > -2, the value of f(x) is always greater than or equal to 3, so the range of f(x) in this case is [3, ∞).

To graph the function, we can plot the points from the table of values and connect them with lines:

          |

    20 ___|_____

       |   |     \

    15 |          \

       |           \

    10 |            \

       |             \

     5 |              \

       |               \

     0 |----------------\_____________

       -4 -3 -2 -1  0  1  2  3

The graph consists of two parts: a horizontal line at y = 1 for x < -2, and a parabolic curve opening upwards for x > -2. The graph is continuous at x = -2, since both the constant and quadratic functions agree at this point.

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The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

10

Step-by-step explanation:

Given;

a = 2

b = 3

c =4

ab+c

Solve;

Since a = 2, b = 3, and c = 4

Substitute

(2)(3)+4

6 +4

= 10

Answer = 10

~Learn with lenvy~

Answer:

10

Step-by-step explanation:

Given the following question:

\(a=2\)
\(b=3\)
\(c=4\)
\(ab+c\)

To find the answer we need to substitute the values in for the variables and then solve using PEMDAS.

\(ab+c\)
\(2\times3+4\)
\(2\times3=6\)
\(6+4\)
\(6+4=10\)
\(=10\)

Your answer is "10."

Hope this helps.

Answer:

-12 Use PEMDAS

Step-by-step explanation:

Do the operation in the parenthesis first to get (-7)2 + 4:2. Multiply -7 by 2 to get -14 +4:2. Divide 4 by 2 to get -14 + 2. Add -14 and 2 to get -12.

Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

This happens because as we increase the values (from 3, 4, and 5) the increase in the squares is greater

A pythagorean triple is a set of 3 numbers such that the sum of the squares of the two smaller ones is equal to the square of the larger one, here we have:

3² + 4² = 5²

9 + 16 = 25

25 = 25

Now, why we can't have another set of 3 consecutive numbers?

This happens because as we increase the values of the integers, more increases the values of the correspondent squares.

That also means that the distance (in units) between the largest value and the previous ones must increase, and that is why there aren't more pyhtagorean triples where all the digits are consecutive integers.

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