Pls help
Volume round to tenth

Pls Help Volume Round To Tenth

Answers

Answer 1

The volume of the cone to nearest tenth is 247. 12 cm ^3

How to determine the volume

Note that the shape is a cone

Volume for a cone =

[tex]\pi \: { {r}^{2} \frac{h}{3} } [/tex]

Given that radius = 5.3cm

height = 8.4cm

Substitute into the formula, we have

Volume = 3.142 × 5.3 × 5.3 × (8.4/3)

Volume = 3. 142× 28.09 × 2.8

Volume = 247. 12 cm ^3

Thus, the volume of the cone to nearest tenth is 247. 12 cm ^3

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Related Questions

which shows a correct step in using substitution to slove the system of equation y=2x-1 4x+y=2

Answers

The solution using correct step of substitution in the equation y=2x-1 4x+y=2 is x = 1/2 and y = 0

Simultaneous equation

y = 2x - 1

4x + y = 2

Substitute the value of y in equation (1) into (2)

4x + y = 2

4x + (2x - 1) = 2

4x + 2x - 1 = 2

6x - 1 = 2

6x = 2 + 1

6x = 3

x = 3/6

x = 1/2

substitute the value of x into equation (1)

y = 2x - 1

y = 2(1/2) - 1

= 2/2 - 1

= 1 - 1

y = 0

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This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the
candy bar. If AD = 2.5 cm, what is the smallest diameter of wrapper that will fit the candy bar?

Answers

TheThe smallest diameter of wrapper that will fit the candy bar is 5cm.

Smallest diameter

Given:

AD = DC

AC = AD + DC

Segment AD = 2.5cm

Hence:

AC = AD + AD (AD = DC)

AC = 2AD

Where:

AD=2.5

So,

AC = 2(2.5cm)

AC = 5cm

Therefore the smallest diameter of wrapper that will fit the candy bar is 5cm.

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Answer: 5cm.

Step-by-step explanation:

MD writes an order for Lortab Elixir 5mg by mouth as needed for pain every 4 hours. Pharmacy dispenses you with 7.5mg/15ml. How many tablespoons will you administer per dose?

Answers

Following the prescription, You will need to administer a 0.7 tablespoon per dose.

Determining the number of tablespoons by using equivalent expressions?

We can determine the number of tablespoons that are administered by using equivalent expressions.

From the standard conversion rate, we know that:

1 ml = 0.067628 tbsp15 ml = 1.01442 tbsp

Using equivalent expressions:

7.5 mg/1.01442 tbsp = 5 mg/x tbsp

x = (1.01442 × 5)/7.5 tbsp

x = 0.67 tbsp

x = 0.7 tbsp per dose.

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Factor by Grouping.
25x^2-20x-12

Answers

Answer:

ac = -300-20 = -30 +10(5x +2)(5x +(-6))

Step-by-step explanation:

The sequence of required answers provides a step-by-step solution to the problem.

Factors of ac

In the given trinomial, we identify the coefficients as ...

  ax² +bx +c = 25x² -20x -12   ⇒   a=25; b=-20; c=-12

Then the ac product is ...

  ac = (25)(-12) = -300

The factor pairs that make this product can be listed as ...

  -300 = (-300)(1) = (-150)(2) = (-100)(3) = (-75)(4) = (-60)(5) = (-50)(6) = (-30)(10) = (-25)(12) = (-20)(15) . . . . (only pairs with a negative sum are listed)

The sums of these pairs are -299, -148, -97, -71, -55, -44, -20, -13, -5.

The factors of the ac product that add to -20 are -30 and 10.

Factor by grouping

These factors are used to rewrite the -20x term as a sum.

  25x² -20x -12 = 25x² -30x +10x -12

Grouping these terms in pairs, we can identify common factors:

  = (25x² -30x) +(10x -12)

  = 5x(5x -6) +2(5x -6)

  = (5x +2)(5x +(-6))

What is the value of g(f(x)) when x=-2 if f(x)=x3

Answers

Answer:

The answer would be A: -15

If 3 times a certain number is increased by 4 the result is 28. What is the number?



If x is "the number," which of the following equations could be used to solve for the number?

3 x + 4 = 28
3 x = 4 + 28
3( x + 4) = 28

Answers

Answer:3x+4=28

Step-by-step explanation:

the second one would equal 3x=32

And the third one would equal 3x+12=28 which isn’t right either

which statement is true about finding the midpoint between two points located on a horizontal or vertical line ?

A . When finding the midpoint between two points on a vertical line, keep the y-coordinate and find the average of the x-coordinate

B . When finding the midpoint between two points on vertical line, keep x-coordinate and find the average of the y-coordinates

C . When finding the midpoint between two points on a horizontal line, the x-coordinate is always 0 and the y-coordinates are averaged

D. When finding the midpoint between two points on a horizontal line , the y-coordinate is always zero and the x-coordinates are averaged

Answers

Answer: B. When finding the midpoint between two points on a vertical line, keep the x-coordinate and find the average of the y-coordinates

What is the following quotient?
2
√13+√11
O√13-2√11
√13+√11
6
O
113 + √11
12
O
● √13 - √11

Answers

[tex]\frac{2}{\sqrt{13}+\sqrt{11}} \times \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\=\frac{2\sqrt{13}-2\sqrt{11}}{13-11}\\\\=\boxed{\sqrt{13}-\sqrt{11}}[/tex]

The solution is: our final quotient is:  (√13 - √11).

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation

Since we have radicals in the denominator, we need to rationalize our expression.

To do it we just need to multiply both numerator and denominator by the conjugate of the denominator.

Remember that the conjugate of a binomial is the same binomial with the sing in between changed.

given that,

2/ (√13 + √11)

Now, we can simplify the denominator:

multiplying by  (√13 - √11)

we get,

2 *  (√13 - √11) / (√13 + √11)*  (√13 - √11)

The only radical that we can simplify in the numerator is , which simplifies to:

2 (√13 - √11) / 13 - 11

=  2(√13 - √11) /2

= (√13 - √11)

So, our final quotient is:  (√13 - √11)

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At Hinsdale College, students are employed by the college library to re-shelve books.
The students claim that a 15-minute coffee break every hour would relive boredom and
increase the average number of books re-shelved per hour. To test the student's claim,
the following data were gathered on a random sample of seven student employees.
Over a period of one week, each student worked a normal schedule without coffee
breaks. Then, during the next week, the students were allowed coffee breaks.
Unknown to the students, a member of the library staff secretly recorded the average
number of books shelved per hour and computed the averages with and without the
coffee break system. The results are below. Test the claim that the students shelve
more books when they have a coffee break, use a 0.05 level of significance.
Student 1 2 3 4 5 6 7
Without
Coffee
breaks
75 63 82 53 79 96 73
With
Coffee
Breaks
90 72 95 50 85 110 89

Answers

The p value is less, therefore one should reject the null hypothesis.

How to illustrate the information?

From the information given, the test statistic will be:

t = (10 - 0)/(6.733/✓7)

t = 3.930.

The degree of freedom will be:

= 7 - 1 = 6

Using the table, the p value will be 0.0039.

Since the p value is less than 0.05 one should reject the null hypothesis.

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5. Lucinda is a babysitter. Her hourly rate is $5.00. fin one week, she baby sat 13 hours and
received tips of $14.50. How much did she earn?

Answers

5.00 x 13 hours = 65
$65 + $14.50 = $79.50

Which of the following illustrates the truth value of the following conditional?

p: 7 + 1 = 0

q: 2 + 2 = 5

F F → T
T T → T
F T → F
T F → T

Answers

The truth table for implication of the equations is F F ⇒ T

What is a truth table?

A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.

Analysis:

P: 7 +1 is not equal to 0 making P to be false(F)

q: 2+2  is not equal to 5 making q to be false(F)

so for conditional or implication, F F⇒ T

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The Robinsons family drove for 4000 miles. This was the
distance the Jones family drove. How many miles did the Jones
family drive?

Answers

Answer:1333.3 Contiuous

Step-by-step explanation:

 .

4000/3,=1333.3x1,=1333.3

 I'm not sure

put the events in order of what is most likely to happen, to least likely to happen. If you were to win a million dollars for winning one of these events, which would you pick to play? Use probability to explain your answers

Answers

Answer:

no man you should reconsider the question again

try typing again i guess its wrong

Step-by-step explanation:

no man you should reconsider the question again

try typing again i guess its wrong

winning a lottery would be correct one i guess

M=−8r
2
+11r−6
T=−7r
2
−9r+14


M
+
T
=
M+T=M, plus, T, equals


Your answer should be a polynomial in standard form.

Answers

M + T in standard form polynomial is -15r² + 2r + 8

How to represent polynomial in standard form?

Polynomial in standard is when all its terms are arranged by decreasing order of degree.

Therefore,

M = - 8r²+ 11r - 6

T = -7r² - 9r + 14

M + T =  - 8r²+ 11r - 6 + (-7r² - 9r + 14)

M + T =  - 8r²+ 11r - 6 - 7r² - 9r + 14

combine like terms

M + T = - 8r² - 7r² + 11r - 9r  - 6  + 14

In standard form, the polynomial is represented as follows;

M + T = -15r² + 2r + 8

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f(x)=3√x + 7. Find the inverse of f(x).

Answers

f(x)=(x^2-14x+49)/9


step 1- switch x and y
step 2- isolate y, and get to (x-7)/3=sqrty
step 3- square each side to get rid of the square root and isolate y
step 4- f(x)=(x^2-14x+49)/9

Answer:

[tex]f^{-1}(x)=\left(\dfrac{x-7}{3}\right)^2[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=3\sqrt{x}+7[/tex]

To find the inverse of the function

Swap f(x) for y:

[tex]\implies y=3 \sqrt{x}+7[/tex]

Subtract 7 from both sides:

[tex]\implies y-7=3 \sqrt{x}+7-7[/tex]

[tex]\implies y-7=3\sqrt{x}[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3\sqrt{x}}{3}=\dfrac{y-7}{3}[/tex]

[tex]\implies \sqrt{x}=\dfrac{y-7}{3}[/tex]

Square both sides:

[tex]\implies \left(\sqrt{x}\right)^2=\left(\dfrac{y-7}{3}\right)^2[/tex]

[tex]\implies x=\left(\dfrac{y-7}{3}\right)^2[/tex]

Swap the x for [tex]f^{-1}(x)[/tex] and y for x:

[tex]\implies f^{-1}(x)=\left(\dfrac{x-7}{3}\right)^2[/tex]

3. Which graph represents the solution to 13k-21> 7?

Answers

Answer: Option (2)

Step-by-step explanation:

[tex]|3k-2| > 7[/tex] means [tex]3k-2 < -7[/tex] or [tex]3k-2 > 7[/tex].

Solving each of these cases gives [tex]k < -\frac{5}{3}[/tex] or [tex]k > 3[/tex].

So, the answer is Option (2).

A metallurgist has one alloy containing 45% copper and another containing 69% copper. How many pounds of each alloy must be use to make 42 pounds of a third alloy containing 66% copper

Answers

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:

x + y = 42   (1)

Also:

0.45x + 0.69y = 42(0.66)   (2)

This gives:

x = 5.25, y = 36.75

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

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Graph the line that passes through the two points. Then find the slope of the line. (2,9), (4, 18)

Answers

The slope of the line is 4.5

How to determine the slope?

The points are given as:

(2,9) and (4, 18)

The slope (m) is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (18 - 9)/(4 -2)

Evaluate

m = 4.5

Hence, the slope of the line is 4.5

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NEED HELP ASAP

there should be a picture giving you info

Answers

Answer:

to find this radius you need to square the area and divide it by pi or 3.14 if your using Alex

A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $40. The cost of labor to manufacture a mountain bike is $90, and the cost of labor to manufacture a trail bike is $30. During a week in which the company has budgeted $1,600 for materials and $2,700 for labor, how many mountain bikes does the company plan to manufacture?

Answers

An equation is formed when two equal expressions. The company is planning to produce 25 mountain bikes and 15 trail bikes.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of mountain bikes produced by the company be x, while the number of trail bikes produced by the company is y.

The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $40. Also, the budget of the company is $1,600. Therefore,

1600 = 40x + 40y

x + y = 40

y = 40-x

The cost of labour to manufacture a mountain bike is $90, and the cost of labour to manufacture a trail bike is $30. Also, the budget for labour is $2,700.

2700 = 90x + 30y

2700 = 90x + 30(40-x)

2700 = 90x + 1200 - 30x

1500 = 60x

x = 25

Substitute the value of x,

y = 40 - x

y = 15

Hence, the company is planning to produce 25 mountain bikes and 15 trail bikes.


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Nadia says the hypotenuse of this right triangle has a length of 73 because the pythagorean theorem states that (28 45) squared = 73 squared. 3 squares are positioned to form a right triangle. the small square is labeled 28, medium square is 45, and large square is not labeled. which best describes nadia’s solution?

Answers

Both the options that Nadia gives are wrong about the length of hypotenuse.

Given length of hypotenuse is 73 and options which are :

1) Because the pythagoras theorem states that [tex]28^{2} +45^{2}[/tex] squared = 73 squared.

2) 3 squares are positioned to form a right triangle.

We have to choose the correct option which shows the calculation of length of hypotenuse.

Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to sum of the square of base and square of perpendicular.

[tex]H^{2} =P^{2} +B^{2}[/tex]

First option says that [tex]28^{2} +45^{2} =73^{2}[/tex]

784+2025=5329

2809≠5329

so it is wrong.

Second option says that the length  of hypotenuse is the sum of three squares but we have seen that the square of the length of hypotenuse is equal to sum of two square one is the square of base and the square of perpendicular.

Hence both the options are incorrect about the length of hypotenuse.

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Answer:

C

Step-by-step explanation:

A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are there in the hospital?

Answers

There are 138 female patients in the hospital.

Solving word problems involving ratios.

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

If the ratio of male to female is 4: 3. The total ratio is 4+3 = 7

The ratio of males in the hospital is:

[tex]\mathbf{184= \dfrac{4}{7} \times x }[/tex]

[tex]\mathbf{184\times 7= 4 x }[/tex]

x = 322

The number of female patients in the hospital can now be computed as:

[tex]\mathbf{=\dfrac{3}{7}\times 322}[/tex]

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

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I’m so confused please help

Answers

Answer:

976cm squared

Step-by-step explanation:

that's all I could do .hope it helps. in case of any questions please ask.


To measure voltage (V), the formula V = √P. R is used. In this formula, P represents power measured in watts and
R represents resistance measured in ohms. What is the resistance (to the nearest ohm) if the volts are 130 and power is
1200 watts?

Answers

The resistance measured in ohms according to the given task is; 3.75 ohms.

What is the resistance in the given set-up?

Since it follows that the three quantities are related by the formula; V = √P. R can be used to estimate the required resistance.

Hence, when V = 130 and P = 1200; we have;

130 = √1200 × R

R = 3.75 ohm

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Choose the letter of the equation for
the graph.
KIN
2
a. y =
sin x + 2
b. y = cos x + 2
c. y = cos(x - π)
d. y =
sin(x - π)
e. y = sin(x + π/2)
Enter

Answers

Answer:

a

Step-by-step explanation:

The midline is at y=2.

Eliminate c, d, e

Also, since there is no horizontal shift amongst the remaining options, we know that since y=2 when x=0, this means it must be a sine curve.

This means the answer is a.

What is addition and subtraction

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{What is addition \& subtraction?}[/tex]

[tex]\huge\textbf{What is addition?}[/tex]

[tex]\bullet\large\textbf{ Well, \underline{addition} simply means when you're ADDING}\\\large\textbf{2 or more numbers from each other to get the result of}\\\large\textbf{a number.}[/tex]

[tex]\huge\textbf{Random notes}[/tex]

[tex]\star\large\textbf{ Usually, you start working with addition when you're in}\\\large\textbf{pre-kindergarten (pre-k also known as head-start)}\\\\\star\large\textbf{ When, you're adding you are going upward.}\\\\\star\large\textbf{ Addition sometimes come after you learn how to count}\\\large\textbf{the basic numbers and so forth because adding never}\\\large\textbf{ends if you really think about.}[/tex]

[tex]\huge\textbf{Example:}[/tex]

[tex]\heartsuit\large\textbf{ 2 \boxed{\bf +} 5 = 7}\\\\\\\heartsuit\large\textbf{ You got the result of 7 because you started at 2 \& went}\\\larg\textbf{up 5 spaces to your right on your number and you landed}\\\large\textbf{on 7.}[/tex]

[tex]\huge\textbf{What is subtraction?}[/tex]

[tex]\bullet\large\textbf{ Well, subtraction simply means you're taking away. Often}\\\large\textbf{people call it take aways.}[/tex]

[tex]\huge\textbf{Random notes:}[/tex]

[tex]\star\large\textbf{ Usually, you start working with subtraction when you're}\\\large\textbf{in pre-kindergarten (pre-k also known as headstart)}\\\\\star\large\textbf{When you're subtracting you are doing downward.}\\\\\star\large\textbf{You focus more on subtraction when you're counting}\\\large\textbf{backwards.}[/tex]

[tex]\huge\textbf{Example:}[/tex]

[tex]\heartsuit\large\textbf{ 7 \boxed{\bf -} 5 = 2 }\\\\\\\heartsuit\large\textbf{ 7 \boxed{\bf -} 2 = 5}\\\\\\\heartsuit\large\textbf{ For equation \#1. you begin at 7 and go BACK 5 spaces}\\\large\textbf{and you should have landed on 2.}\\\\\\\heartsuit\large\textbf{ For equation \#2. you begin at 7 \& go BACK 2 spaces}\\\large\textbf{and you should have landed on 5.}[/tex]

[tex]\huge\textsf{KEEP IN MIND:}[/tex]

[tex]\circ\large\textsf{ Addition OPPOSITE is subtraction \& subtraction OPPOSITE is}\\\large\textsf{addition.}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitirite1040:)}[/tex]

Well add 2 numbers and get an answer and use the answer and minus one of the others numbers it would be the opposite

Margo borrows $1500, agreeing to pay it back with 3% annual interest after 18 months. How much interest will she pay?

Answers

Answer:

67.5

Step-by-step explanation:

I'm assuming this is simple interest.

1500x0.03x1.5=67.5

A high school baseball player has a 0.229 batting average. in one game, he gets 5 at bat. what is the probability he will get at least 2 hits in the game? round your answer to four places.

Answers

The probability he will get at least 2 hits in the game is 0.470

Given

The batting average is 0.229

In one game he gets 5 at bat

To find the probability he will get at least 2 hits we use binomial distribution.

What is Binomial distribution?

The binomial distribution is also a Frequency distribution used for the possible no. of successful outcomes in a given no. of trials in each of which there is the same probability of success.

So we have

n = 5

p = 0.299

q = 1 - p

   = 0.701

[tex]P(X) = nC_{x} p^x q^(n-x)[/tex]

P(at least 2 hits in the game) = 1 - P(less than 2 hits)

= 1 - P(0) - P(1)

[tex]= 1 - 0.701^5 - 5C1 x 0.299 x 0.701^4[/tex]

= 1 - 0.169 - 0.361

= 0.470

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Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA.



2x2−7x+1=0


Enter the exact answers.



The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter.



Enclose numerators and denominators in parentheses. Remember that (a−b)/1+n is not the same as (a−b)/(1+n) .

Answers

By using the quadratic formula, the roots of the quadratic equation 2 · x² - 7 · x + 1 are represented by the irrational number x = (7 ± √41) / 4.

How to find the roots of quadratic equation by quadratic formula

For polynomials of the form a · x² + b · x + c = 0, the two roots can be found analytically by quadratic formula, whose expression is described below:

[tex]x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]    

If we know that a = 2, b = - 7 and c = 1, then the roots of the polynomial are:

x = 7/4 ± (1/4) · √41

x = (7 ± √41) / 4

By using the quadratic formula, the roots of the quadratic equation 2 · x² - 7 · x + 1 are represented by the irrational number x = (7 ± √41) / 4.

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factor equation step by step.

Answers

Answer:

no solution

Step-by-step explanation:

use grouping method:

f(x) = x^2 - 4x + 2

factor it:

when we try to factor the above equation, we see that there is no ordered pair in which the numbers multiple to -4 and add to 2, so there is no solution

Other Questions
When Smartsheet, a producer of software, delayed the introduction of its new app to modify the package, its scheduled TV advertisements announcing the new product needed to be revised. In this case, a change in the ____ variable caused changes in the ____ variable of the marketing mix. What were the only 3 jobs that aztec boys could expire to after receiving an education? We are most likely to imitate the behavior of models if we observe that their actions are:. What are two obvious ideas in the advertisement that reflect European views about race and the nonwhite people living in European colonies? What do these ideas imply about European colonialism and the belief in white superiority? How do these and other ideas in the advertisement use racism to promote imperialism? a bag contains Stephanie five marbles, some red some blue. The ratio of red marbles to blue ones is 3:2. how many red marbles are there? Answer : C) Electrons are many thousand times smaller than the nucleus and negatively charged.Reasoning : Edguinity Question 19 options: The guidance for having infant sleep on their back to reduce the incidence of SIDS has a grade of A. The Back-to-Sleep campaign directed information at parents and care-givers with the involvement of clinicians, crib manufacturers, and the media. The mortality from SIDS fell by approximately 50% within several years of the beginning of the Back-to-Sleep campaign Case-control studies were important in establishing a cause and effect relationship between having infants sleep prone and Sudden Infant Death Syndrome. Sudden infant death syndrome (SIDS) is the most common cause of death between age 1 month and one year. Twenty years ago it resulted in over 5,000 deaths per year. Increased concentrations of alpha-fetoprotein (AFP) in adults are most characteristically associated with: Which organ is the main organ of the nervous system?a.Brainb.Spinal Cordc.Nerved.Nerve Cell A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now? Gandhi and Dr. Martin Luther King, Jr. both believed in peaceful resistance. This belief can be traced to Ancient India and the practice of _____. A rectangle with base b and height h has an area of 235 square-inches. Express the perimeter of the rectangle as a function of its base x is increased by 50% and decreased by 30%. What is the result? Choose the appearance of a liquid in the kettle that is heated to simmer. What is a difference between orange trees and cypress trees? An orange tree has seeds in a cone, and a cypress tree has seeds in a fruit. An orange tree has spores, and a cypress tree has seeds in a cone. An orange tree has seeds in fruit, and a cypress tree has seeds in a cone. An orange tree has seeds in fruit, and a cypress tree has spores. What temperature would constitute a fever for a child? What effects on dental treatment would a fever pose? For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x0.5x2 .The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)Part b: Find two values of x that will create a profit of $50 .The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x1 ). The order of the list does not matter. To enter a , type sqrt(a). From the picture below, the marketing vice president is interested in the revenue numbers broken down by month, division, customer demographics, sales office, product version, and plan. These are her business dimensions along which she wants to analyze her numbers. Question: In the case of Marketing Manager and Financial controller, what are their business dimensions they analyze their numbers? The most important use of marketing research is that _______. Question 10 options: it can help managers serve both current and future customers accurately and efficiently it helps managers eliminate the use of big data for data analysis it helps managers focus on quantity rather than quality of products it can help managers ensure that secondary data do not influence marketing decisions Considering how Texas Democrats changed between Reconstruction and the 1950s, how did "liberal" and "conservative" values affect the divides within the "one party" state? What other factors helped to transform mid-century politics in Texas?