What number is 10 times greater than 0.03?

The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.

It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.

Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.

As example 4 + 3 or 100÷4

The expression which has both variables and numbers is called algebraic expression.

As example X+6 or 25+5y

In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y

but 24 is a constant number.

We are given three expressions, these are 2xA²y, 10xyA² and 5yA²

for the 1st expression, 2 is the coefficient of A²y

for the 2nd expression, 10 is the coefficient

for the last 5 is the coefficient.

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25r(cos^2Ф-sin^2Ф)-6cosФ=0

The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates

The rectangular coordinate system consists of two real number lines that intersect at a right angle

In cylindrical coordinate, x=rcosФ

y=rsinФ

z=z

25(rcosФ)^2=25(rsinФ)^2=6rcosФ

25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ

25r^2(cos^2Ф-sin^2Ф)=6rcosФ

25r(cos^2Ф-sin^2Ф)-6cosФ=0

25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.

Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation

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Given that a ball is thrown, the function is given by f(x) = -16x2 + 16x. Where x represents the time (seconds) it takes the ball to travel f(x) meters.

a) To find the maximum height of the ball, we need to find the vertex of the quadratic function. The formula for the vertex is x = -b/2a. In this case, a = -16 and b = 16, so x = -16/(2*-16) = 0.5 seconds. To find the maximum height, we plug this value of x into the function: f(0.5) = -16(0.5)^2 + 16(0.5) = 4 meters. Therefore, the maximum height the ball reaches is 4 meters.

b) We already found that the vertex occurs at x = 0.5 seconds, so it takes the ball 0.5 seconds to reach the maximum height.

c) To find the time it takes for the ball to hit the ground, we need to find the roots of the quadratic function. The roots occur when f(x) = 0. So, we need to solve the equation -16x^2 + 16x = 0. Factoring out 16x, we get 16x(-x + 1) = 0. This means that either x = 0 (when the ball is thrown) or x = 1 (when the ball hits the ground). Since we are only interested in the time it takes for the ball to hit the ground, we can ignore the root x = 0. Therefore, it will take 1 second for the ball to hit the ground.

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Answer:

\(\boxed{\frac{1}{2} }\)

Step-by-step explanation:

Let the assistants be x

Condition:

Ratio is also "division"

So,

\(\frac{x}{players} = \frac{1}{6}\)

=> Where players = 36

=> \(\frac{x}{36} = \frac{1}{6}\)

Multiplying both sides by 36

=> x = 6

So,

Assistants = 6

Ratio of coaches to assistants = 3 : 6

=> 1 : 2

In Fraction form

=> \(\frac{1}{2}\)

F) 1/2

Because no. of players= 36

Since ratio of team assistant to players is 1:6

Let no of assistant be X

X/36 = 1/6

X= 6

No of assistant= 6

Ratio of coach to assistant= 3/6=1/6

= 1:6

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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Answer:

13/40.

Step-by-step explanation:

We add the probability in this case.

So it is 1/5 + 1/8

=  8/40 + 5/40

= 13/40.

Answer:

y = 2 * 4^x

Step-by-step explanation:

We could define a wide variety of rules!

It turns out that any set of n (x, y) pairs can be modeled by a singular polynomial of degree (n-1) or less, and by infinitely many polynomials of degree n or more! And we're only talking polynomials!

Let's input it into a polynomial interpolation calculator:

\((27 x^4)/4 - (63 x^3)/2 + (225 x^2)/4 - (51 x)/2 + 2\)

Well I don't love this.

Let's try to actually look for patterns. We see that the function is rapidly increasing. More and more, actually. Let's look for the ratios of each next y

8/2 = 4

32/8 = 4

128/32 = 4

512/128 = 4

BINGO!

So we can define the rule as:

y = 2 * 4^x

Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.

The correct expression to indicate that x is greater than 10 and less than 20 is:

a. 10 < x < 20

This is read as "10 is less than x, and x is less than 20." The symbols "<" and ">" indicate "less than" and "greater than," respectively.

Option b is not correct as it uses parentheses instead of the less than/greater than symbols.

Option c is not correct as it uses "&" and "&&" which are not commonly used symbols to indicate less than and greater than.

Option d is not correct as it uses "II" which is not a commonly used symbol to indicate less than and greater than.

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We can made the graph with these coordinates:

so the graph will be:

Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

The value of the solution in the inequality is,

⇒ x < - 9

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ - 2x > 18

Now, We can simplify as;

⇒ - 2x > 18

⇒ - x > 18/2

⇒ - x > 9

⇒ x < - 9

Thus, The value of the solution in the inequality is,

⇒ x < - 9

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Answer:

75 cu in

Step-by-step explanation:

the formula for volume is V = l w h (volume equals length times width times height) and can also be written V = B h (volume equals the area of the base times the height). Notice that the version, V = l w h is only true for rectangular prisms and cubes.

V = L x W x H

V = 5 x 5 x 3

V = 75

Answer: 75 in³

Step-by-step explanation:

    We will use the given formula to solve for volume by substituting and multiplying.

V = LWH

V = (5 in)(5 in)(3 in)

V = 75 in³

Answer:

y = - 3

Step-by-step explanation:

Locate x = 3 on the x- axis. Go vertically down to meet the line. At this point the corresponding y- value is - 3 on the y- axis

Thus when x = - 3 then y = - 3

The evaluation of the function \(f(x)=e^x\) at a=0 and x=5 by the taylor series will have a value 65.37.

We know the fromula of taylor series is given as:

\(f(x)=f(a)+\dfrac{f'((a)}{1!}(x-a)+\dfrac{f''(a)}{2!}(x-a)^2+\dfrac{f'''(a)}{3!}(x-a)^3.................\)

Now for the function \(f(x)=e^x\) the taylor's series will become.

\(f(x)=e^a+e^ax+\dfrac{e^ax^2}{2!}+\dfrac{e^ax^3}{3!}+\dfrac{e^ax^4}{4!}\)

\(f(x)=1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!}\)

So at x=5 the values will become

\(f(x)=1+5+12.5+20.83+26.04=65.37\)

hence the evaluation of the function \(f(x)=e^x\) at a=0 and x=5 by the taylor series will have a value 65.37.

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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hope it's helpful ❤❤❤

THANK YOU.

Answer:

Yesss, that's correct!

Step-by-step explanation:

Good luck!!!!

Answer:

Slope: -1.4

Y-Intercept: -5

Step-by-step explanation:

Y = MX+B

Question: 7x + 5y = -25

Simplified: y = -1.4x - 5

M is Slope

B is Y-Intercept

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Answer:

\(2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3\)

Answer:

x= \(\frac{1}{2}\)     or     x= -3

Step-by-step explanation:

\(\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }\)

First ensure that the coefficient of x² is 1.

x² +\(\frac{5}{2}\)x -\(\frac{3}{2}\)= 0

[x +(\(\frac{5}{2}\) ÷2)]² -(\(\frac{5}{2}\) ÷2)² -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))² -(\(\frac{5}{4}\))² -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))²- \(\frac{25}{16}\) -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))² -\(\frac{49}{16}\)= 0

(x +\(\frac{5}{4}\))²= \(\frac{49}{16}\)

x +\(\frac{5}{4}\)= \(\sqrt{\frac{49}{16} }\)                (square root both sides)

x +\(\frac{5}{4}\)= ±\(\frac{7}{4}\)

x= -\(\frac{5}{4}\) +\(\frac{7}{4}\)       or       x= -\(\frac{5}{4}\) -\(\frac{7}{4}\)

x= \(\frac{1}{2}\)             or       x= -3

First, let's write the equation.

Now, let's divide 6 both sides.

Hence, for just 1 machine, it would take 8 minutes.

In the previous part, we know how much time it would take for 1 minute. Using that info, let's find how much time would 8 machines take.

Hence, for 8 machines, it would take 64 minutes.

\(BrainiacUser1357\)

The answers are :

a) The time taken by 1 machine to produce same batch of newspapers is 8 minutes.

b) The time taken by 8 machines to produce the same batch of newspapers is 64 minutes.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that it takes 48 minutes for 6 printing machines to produce a batch of newspapers.

a)

We have to find out that how much time in minutes will one machine take to produce same batch of newspapers . It is a form of unitary method. So , we must divide no. of minutes taken by 6 machines by number of machines which is 6.

i.e.,

The time in minutes which 1 machine take to produce same batch of newspapers is :

= 48 ÷ 6

= 8 minutes

b)

Now , we have to calculate the time taken by 8 machines to produce the same batch of newspapers is :

= 8 × 8  minutes

= 64 minutes

Therefore , the answers are :

a) The time taken by 1 machine to produce same batch of newspapers is 8 minutes.

b) The time taken by 8 machines to produce the same batch of newspapers is 64 minutes.

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Answer:

slope is -x. Or -1/1.

Step-by-step explanation:

U can use the slope formula.

Answer:

\(\%Pr =71.43 \%\)

Step-by-step explanation:

Given

\(S = \{8, 7, 3, 8, 14, 15, 20\}\)

\(n(S) = 7\)

Required

Percentage of values between Q1 and Q3

We have:

\(S = \{8, 7, 3, 8, 14, 15, 20\}\)

Sort

\(Sorted = \{3, 7, 8, 8, 14, 15, 20\}\)

Q1 is calculated as:

\(Q_1 = \frac{n+1}{4}th\)

\(Q_1 = \frac{7+1}{4}th\)

\(Q_1 = \frac{8}{4}th\)

\(Q_1 = 2nd\)

The second element is: 7; So:

\(Q_1 = 7\)

Q3 is calculated as:

\(Q_3 = 3*\frac{n+1}{4}th\)

\(Q_3 = 3*\frac{7+1}{4}th\)

\(Q_3 = 3*\frac{8}{4}th\)

\(Q_3 = 3*2th\)

\(Q_3 = 6th\)

The sixth element is: 15; So:

\(Q_3 = 15\)

From the sorted dataset, the data between Q1 and Q3 is:

\(Q_3&Q_1 = \{7, 8, 8, 14, 15\}\)

\(n(Q_3&Q_1) = 5\)

The percentage is:

\(\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%\)

\(\%Pr =\frac{5}{7} * 100\%\)

\(\%Pr =\frac{5* 100}{7} \%\)

\(\%Pr =\frac{500}{7} \%\)

\(\%Pr =71.43 \%\)

Step-by-step explanation:

Gradient of line AB = 6/2 = 3.

Gradient of line CD = 10/2 = 5.

Gradient of line AD = 12/8 = 1.5.

Answer:

6,9

Step-by-step explanation:

Got it right on edg

The ordered pair which is also on the graph is (6, 9).

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

Suzy is shopping at a book sale.

We can see from the table that when books( x) is 2 then the value of y is 3.

Similarly, x = 4 then y = 6

then we can say that the value of y is the addition of half of the value of x in itself.

So, according to the number pattern;

if we take x = 6

Then 6 + 3 = 9

y = 9

Thus, The ordered pair which is also on the graph is (6, 9).

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Answer:

im pretty sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

000111

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×1 + 2⁰×1 = 7

000111 = 7

000100

2⁵×0 + 2⁴×0 + 2³×0 + 2²×1 + 2¹×0 + 2⁰×0 = 4

000100 = 4

001100

2⁵×0 + 2⁴×0 + 2³×1 + 2²×1 + 2¹×0 + 2⁰×0 = 12

001100 = 12

111001

2⁵×1 + 2⁴×1 + 2³×1 + 2²×0 + 2¹×0 + 2⁰×1 = 57

111001 = 57

I hope I've helped you.

Answer:

d / 2

Step-by-step explanation:

If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.