6. Find the integrals: + J (zo3 – * + 5a)dx = |(=-1)de - vz $ (28 – x2 + 5x)dt = Š dx 24 22 dx r2 3 dc = XV 25 – x2dx = | z Jav to vantado 1 dx 2x + 1 =

Answer:

2=41     1=49      3=49

Step-by-step explanation:

Angle 2 = 41 because it is directly across the given angle.

Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.

41+41=82

180-82=98

98 / 2 = 49

Angles and 3 both equal 49

Answer:

2=41°(Alternate Interior angles)

1=41°(diagonal of rhombus bisects the interior angles)

3=49°(180-82/2)

Step-by-step explanation:

Answer:

The correct answers:

top left:8/24

top right:9/24

bottom: <

Step-by-step explanation:

lcm of 3 and 8 is 24

make both denominator 24

3/8 is 9/24

1/3 is 8/24

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

Learn more about probability on:

https://brainly.com/question/23417919

Answer:

slope of line 1

m = (-8 - 2) / (2 + 2)

m = -10/4 = -5/2

slope of line 2

m = (6 + 1) /(5 - 0)

m = 7/5

slope of line 3

m = (-2 + 7) /(2 - 4)

m = 5/ -2

m = -5/2

Line 1 and Line 2 are neither.

Line 1 and Line 3 are parallel since they have same slope.

Line 2 and Line 3 are neither.

Answer:

More money was made at the spring concert

Step-by-step explanation:

Here, we want to know if more or less money was made during the spring or fall concert

from the question, we are told that the amount made at spring concert is 9/8 of what is made at a fall concert

Since 9/8 is greater than 1, we can confidently say that the amount made at the spring concert is greater than what she made at the fall concert

Thus the value of   ∫∫s curl F · d S.  when \(S is the hemisphere x^{2} +y^{2} +z^{2} = 25\) is     \(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\).

Stokes formulae is used to find the surface integral of a curl of a function

By using stokes formulae we get ,

curl F = \(\dfrac{dQ}{dY} i+ \dfrac{dR}{dZ}j + \dfrac{dP}{dY} k\\\)

where P = 2 y cos z, Q =\(e^{x} sin z\), and R =\(x e^{y}\)

Taking partial derivatives, we get:

\(\dfrac{dP}{dy} = 2cos z\)

\(\dfrac{dP}{dz} = -2y sin z\)

\(\dfrac{dQ}{dx} = e^{x} sin z\)

\(\dfrac{dQ}{dy} = 0\)

\(\dfrac{dQ}{dz} =e^{x} cos z\\\dfrac{dR}{dx} = ye^{y} \\\dfrac{dR}{dy} = xe^{y}\\ \dfrac{dR}{dz} = 0\)

substituting the values in the Curl formulae we get ,

curl F = \((-2y sin z) i + (e^{x} cos z) j + (ye^{y} - xe^{y} ) k\)

Let us substitute x  = 5 cos t,

y = 5 sin t

z = 0,

where 0 ≤ t ≤ 2π. Then  \(\dfrac{dr}{dt}\)= (-5 sin t) i + (5 cos t) j, and we have:

∫C F · Dr =\(\int\limits^0 _2\pi \ F(5cos t, 5sin t, 0) (-5sin t i + 5cos t j) dt\)

= \(\int\limits^0_2 {(-10 sin t cos z + 25^{5sint )cos z } } \, dt\)

=\(\int\limits^0_2 {\pi 15 ^{(5sin t ) cos z } } \, dt\)

Since z = 0 on the boundary C, we have cos z = 1, and the integral simplifies to:

\(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\)

Therefore:

∫∫s curl F · dS = ∫C F · dr =\(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\)

Learn more about curl here:

https://brainly.com/question/33180772

#SPJ12

Answer:

-4

Step-by-step explanation:

So like ur last problem do it in order left to right.

[8x7]+5x(-8)/(-4)

56+[5x(-8)/-4

56+(-40)/-4

16/-4=(-4)

Sorry if i did in wrong order.

The required tally table is

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

To create a tally table, follow these steps:

1. Write down the intervals or categories for the data.

2. Create a tally mark (a vertical line) for each observation that falls into that interval/category.

3. After every fifth tally mark, draw a diagonal line across the previous four tally marks to make counting easier.

4. Add up the total number of tally marks in each interval/category to determine the frequency.

Here we have

The data is 20, 27, 5, 6, 29, 7, 17, 11, 18, 5, 15, 17, 20, 27, 22, 13, 6, 28, 27, 23, 24, 17

To make the tally table follow the above steps

Hence, we will get the following tally and frequency table

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

Learn more about Tally table at

https://brainly.com/question/29065358

#SPJ1

The sum of the roots of a quadratic equation, ax^2 + bx + c = 0, is given by -b/a. This means that the coefficient 'b' in the equation directly influences the sum of the roots.

To understand the relationship between the coefficient 'b' and the sum of the roots, we need to consider the quadratic formula. The quadratic formula states that the roots of a quadratic equation of the form ax^2 + bx + c = 0 are given by:

x = (-b ± √(b^2 - 4ac))/(2a)

In this equation, the coefficient 'b' appears in both the numerator and the denominator of the fraction. The sum of the roots is obtained by adding the two roots together:

Sum of roots = [(-b + √(b^2 - 4ac))/(2a)] + [(-b - √(b^2 - 4ac))/(2a)]

Simplifying this expression, we find that the terms with the square root cancel out, and we are left with:

Sum of roots = -b/a

This result shows that the coefficient 'b' is directly related to the sum of the roots of the quadratic equation. Specifically, the sum of the roots is equal to -b/a.

To know more about finding the roots of a quadratic equation, refer here:

https://brainly.com/question/30064830#

#SPJ11

Answer:i do not get it

Step-by-step explanation:

Answer:2,523

Step-by-step explanation:

Answer:

\(\frac{1}{6}\ juice\)

Step-by-step explanation:

The computation is shown below:

Since \(\frac{1}{8}\) quart of juice would be make in \(\frac{3}{4}\) minutes

So for one minute, the juice would be make

\(\frac{4}{3}\times \frac{3}{4} \ minute= \frac{4}{3} \times \frac{1}{8} \ juice\\\\1\ minute= \frac{1}{6}\ juice\)

hence, the same would be considered and relevant too

Answer:

The slope is 3/1 or 3.

Step-by-step explanation:

The slope equation is y2-y1/x2-x1. Plug the coordinates into the equation and you get -6-3/-1-2 = -9/-3 = 9/3 = 3/1 = 3.

The surface area of each face is 4 square inches.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A regular octahedron has a surface area of 32 square inches.

That means

all sides are equal.

The surface area of each face is,

= 32/8

= 4 square inches.

Therefore, the required area is 4 square inches.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.

The one which is not representing an example of a product's tangible feature is brand equity.

The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.

By exclusively selling C-Ice at health food stores,

The company creates a selective distribution channel that positions the product as a specialized and premium offering.

This limited availability enhances the perception of exclusivity.

And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.

Brand equity is not an example of a product's tangible feature.

Brand equity refers to the intangible value and perception associated with a brand,

Such as its reputation, customer loyalty, and brand recognition.

Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.

Examples of tangible features include packaging, color, weight, and size.

Learn more about marketing here

brainly.com/question/31311464

#SPJ4

Answer:

3/4 inches

Step-by-step explanation:

Subtract Jimmys string length from Sam's string length

7 1/2 - 6 3/4

Get a common denominator of 4

7 1/2*2/2 - 6 3/4

7 2/4 - 6 3/4

Borrow 1 ( or 4/4) from the 7

6 4/4 + 2/4 - 6 3/4

6 6/4 - 6 3/4

3/4

Find the difference that's the answer

one common denominator between the fractions 1/5 and 2/7 is 35

Answer:

Step-by-step explanation:

the answer for 5(x – 4) = 2(x + 5)


is x=10

your welcome!

Answer:

x = 10

Step-by-step explanation:

5(x – 4) = 2(x + 5)               DISTRIBUTE

5x - 20 = 2x + 10                COMBINE LIKE TERMS

3x = 30                               ISOLATE X

x = 10                                  FINAL ANSWER

I hope this helps!

Answer: One number is 32, the other is 28

Step-by-step explanation:

Let's solve this problem with a system of equations

Let the x be one number, y be the other number

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

x+y=60

x-y=4

2x=64

x=32

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

Substitute x value into one of the equations

x-y=4

32-y=4

y=28

Hope this helps!! :)

Please let me know if you have any questions

x = 2 to x = 5 is 4.

To find the average rate of change of a function, you need to subtract the initial value from the final value and divide it by the change in the input variable. Here's how to use a calculator to find the average rate of change of a function:Step 1: Input the initial value of the input variable into the calculator.Step 2: Input the final value of the input variable into the calculator.Step 3: Subtract the initial value from the final value.Step 4: Divide the difference by the change in the input variable. Example:Find the average rate of change of the function f(x) = 3x - 1 from x = 2 to x = 5.Step 1: Input 2 into the calculator.Step 2: Input 5 into the calculator.Step 3: Subtract 3(2) - 1 from 3(5) - 1. The result is 14.Step 4: Divide 14 by 5 - 2. The result is 4.Therefore, the average rate of change of f(x) from x = 2 to x = 5 is 4.

Learn more about function

brainly.com/question/21145944

#SPJ4

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

a. The mean mass of Ca in the solid sample is 0.3784 g with a standard deviation of 0.0014 g and a relative standard deviation of 0.37%.

b. The average percent weight of Ca in the solid sample is 8.73% with a standard deviation of 0.32%. The 95% confidence interval for the percent weight of Ca is 8.09% to 9.37%.

To calculate the mean mass of Ca in the solid sample, we sum up the individual measurements and divide by the total number of measurements. Adding the given values, we get a sum of 1.8912 g. Dividing this sum by 5 (the number of measurements) gives us the mean mass of Ca as 0.3784 g.

To calculate the standard deviation, we subtract the mean from each individual measurement, square the differences, sum up the squared differences, divide by the total number of measurements minus 1 (in this case, 4), and take the square root of the result. This gives us a standard deviation of 0.0014 g.

The relative standard deviation (RSD) is calculated by dividing the standard deviation by the mean and multiplying by 100 to express it as a percentage. In this case, the RSD for the mass of Ca is 0.37%.

Learn more about the Standard deviation

brainly.com/question/13498201

#SPJ11

Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

To know more about level of measurement, here:

https://brainly.com/question/28137201

#SPJ2

Answer:

20x + 35y

Step-by-step explanation:

\(5(4x + 7y) \\ = 5 \times 4x + 5 \times 7y \\ \huge \red{= 20x + 35y}\)

This behavior most directly illustrates the concept of superstition in gambling. Gamblers may believe that throwing the dice a certain way will influence the outcome and affect the results they desire.

This is a common belief among gamblers, despite there being no scientific evidence to support it. In reality, the way the dice are thrown has no impact on the outcome, as the result is determined purely by chance and the laws of physics.

Nevertheless, the belief in superstition is widespread in gambling and can influence behavior and decision making.

Gamblers often pitch the dice gently for low numbers and hard for high numbers. This most directly adorned an illusion of control Regression towards the mean refers to the tendency for unusual events to be followed by more ordinary events.

To know more about Dice:

https://brainly.com/question/30061228

#SPJ4

Answer:

g^-1

Step-by-step explanation:

g^-1 times 1

is g^-1

Answer:

1/g

Step-by-step explanation:

g^-1(1)

= g^(-1 * 1)

= g^(-1)

= 1/g

Hence, g^-1(1) is 1/g

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

16 19/50

Step-by-step explanation:

first make improper fractions of both 3 9/10 and 4 1/5

mutltiply the denomiator (the number on the bottom) by the whole number, add the numerator (the number on the top) and put that number over the denomiator. 3 9/10 = 39/10 and 4 1/5 = 21/5. Multiply the improper fractions. numerator x numerator and write that on the top with a line under it. Multiply the denomiators and write that on the bottom. 39*21= 819. 10*5=50. your number would be 819/50. Then divide 819 by 50. You get 16 19/50

Answer:

=8x+64

Step-by-step explanation:

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

(a) The greatest common divisor of \(x^3\) - 6x - 7 and \(x^4\) is 1.

(b) The greatest common divisor of \(x^2\)- 1 and 2\(x^7\) - 4x\(^5\) + 2 is 1.

(a) To find the greatest common divisor (GCD) of the polynomials, we can use polynomial long division.

Dividing \(x^3\) - 6x - 7 by \(x^4\), we get a remainder of \(x^3\) - 6x - 7.

Since the remainder is non-zero, the GCD of \(x^3\) - 6x - 7 and \(x^4\) is 1.

(b) To find the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2, we can again use polynomial long division.

Dividing 2\(x^7\) - 4\(x^5\) + 2 by \(x^2\) - 1, we get a remainder of 2\(x^5\) + 2.

Since the remainder is non-zero, the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2 is 1.

You can learn more about greatest common divisor at

https://brainly.com/question/219464

#SPJ11