how many centigram are equal to 9.95 milligram

The result of the evaluation as demanded in the task content is; -40 - 80√3.

The expression; a² - b² can be evaluated by means of difference of two squares as follows;

a² - b² = (a+b)(a-b)

Therefore, we have;

= ((√3 +5√3 -5) + (√3 -5√3 -5)) ((√3 +5√3 -5) - (√3 -5√3 -5))

= (2√3 -10)(10√3 +10)

= 60 - 80√3 -100

= -40 - 80√3.

Read more on difference of squares;

https://brainly.com/question/1123986

#SPJ1

Answer: 68

Step-by-step explanation:

By the inscribed angle theorem, arc BA measures twice of 34 degrees, which is 68 degrees.

The magnitude of the resultant vector is 27 miles

Resultant vector = Distance of A - Distance of B

This is so because of the opposite direction of the car's movement

A = 87 miles

B = 114 miles

Resultant vector = 114 - 87

Resultant vector = 27 miles

Thus, the magnitude of the resultant vector is 27 miles

Learn more about resultant vector here:

https://brainly.com/question/3184914

#SPJ1

Answer:

x = 2

Step-by-step explanation:

1) If there is a number right next to a bracket, then it means that it should be multiplied. --> 4(5 -2x) = 25 - 10x

2) (20 - 8x) + 3 = 23 - 8x

3) 23 - 8x = 7

4) 16 = 8x

5) We divide both sides with 8 to leave x. --> 2 = x

6) x = 2

By using unit conversion and direct proportionality model, we find that 45 bushels of soybeans are equal to a weight of 1.225 tonnes.

In this question we have an application of direct proportionality model, whose form is shown below:

y = k · x     (1)

Where:

If we know that x = 45 bu and k = 1/36.744, then the soybean quantity in tonnes is:

y = (1/36.744 t/bu) · (45 bu)

y = 1.225 t

By using unit conversion and direct proportionality model, we find that 45 bushels of soybeans are equal to a weight of 1.225 tonnes.

To learn more on unit conversions: https://brainly.com/question/13259295

#SPJ1

When one is looking at a map of the united states, and it is assumed that you already know which direction is north, this illustrates a theorem.

It should be noted that a theorem simply means a statement that has been proved.

In this case, when one is looking at a map of the United States, and it is assumed that you already know which direction is north, this illustrates a theorem. This is because it's proven.

Learn more about theorem on

brainly.com/question/343682

#SPJ1

The reciprocal relationship of the graph is graph (a)

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

For the given graph, the reciprocal relationship is graph (a)

This is shown in the attached graph

Read more about reciprocal relationship at:

https://brainly.com/question/2321596

#SPJ1

11. The value of x is [tex]13\frac{3}{4}[/tex]

12. From given to step 1, Iquolese should have combined like terms on each side of the equation to get 3x + 11 = 101 + x

From the question, we are to solve the given equation

The given equation is

[tex]5 + \frac{1}{2}(4x +5) = 35[/tex]

This becomes

[tex]\frac{1}{2}(4x +5) = 35-5[/tex]

[tex]\frac{1}{2}(4x +5) = 30[/tex]

[tex]4x +5 = 2 \times 30[/tex]

[tex]4x +5 = 60\\[/tex]

[tex]4x= 60-5[/tex]

[tex]4x= 55[/tex]

[tex]x = \frac{55}{4}[/tex]

[tex]x = 13\frac{3}{4}[/tex]

Hence, the value of x is [tex]13\frac{3}{4}[/tex]

12.

From given to step 1, Iquolese should have combined like terms on each side of the equation to get 3x + 11 = 101 + x

Learn more on Linear equations here: https://brainly.com/question/3926291

#SPJ1

The value of 32 in the equation will serve as the time taken by the driver to travel

If Alice fills up the gas tank of her car before going for a long drive, and the equation that shows the amount of gas in gallons in Alice's car when she has driven m (miles). is given as:

g = 15 - m/32

The value of 32 in the equation will serve as the time taken by the driver to travel

Learn more on distance and time here; https://brainly.com/question/17273444

#SPJ1

Truth Value for p^ q when x is replaced by 2 is also true. (  p^q is True)

The prime numbers are those numbers that have only one factor namely 1 and the number itself.

Given that p = x is prime and q = x is even. If we replace x by 2 then we would get

p = 2 is prime

q = 2 is even

p^q will be held true only if p and q both are true.

The statement for p and q both are true because 2 only has two factors only 1 and 2 themselves.

2 is also considered an even number (2,4,6,8,...)

Since p = true and q = true then

p and q = p^q = true

Thus, p^q is True.

Learn more about prime numbers;

brainly.com/question/4184435

#SPJ1

Answer:

p^q is true

Step-by-step explanation:

If both p and q are true, the statement p^q is true. If both p and q are false, the statement p^q is still true. All other options yield a false result.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of linear equations:

(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0    

- c + d = 1      (1)

3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0    

3 · c + d = 117       (2)

The solution of this system is c = 29 and d = 30.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

To learn more on polynomials: https://brainly.com/question/11536910

#SPJ1

The factor by which the complex rational number be multiplied is; 2 -9i.

The expression given in the task is a fraction made up of complex numbers.

Hence in a bid to evaluate the quotient of the expression; -1 - 4i/ 2 + 9i.

The numerator and denominator must be multiplied by the conjugate of the denominator which in this case is; 2 -9i.

This is to help reduce the denominator to a real number.

Read more on division of complex numbers;

https://brainly.com/question/264450

#SPJ1

According to the information, it can be inferred that the answer is No, because informing the students that there will be a $10 increase... (option B).

This question is not valid because it specifies information that would surely change the answer of the respondent.

The information that the question reveals is that there is going to be a raise, this will cause a refusal in people to accept that raise just to see a live band.

According to the above, the question is invalid because it reveals information that will modify the answer of those who respond.

Note: This question is incomplete because the options are missing. Here are the options:

A. No, because questions about musical preferences are always invalid because you cannot measure people's opinions on subjective manners like music and other creative arts.

B. No, because informing the students that there will be a $10 increase in the cost of a prom ticket may make them more likely to say that they would not like a live band to perform.

C. No, because students should be given a sample of the band's music to allow them to offer a more informed opinion.

D. No, because a random sample of all seniors in the country should have been taken to determine if a live band should perform at this high school's senior prom.

Learn more about valid question in: https://brainly.com/question/3292683

#SPJ1

Answer: 13 vertices

Step-by-step explanation:

     We can use the following formula to find the number of vertices in the figure. V is the number of vertices, F is the number of faces, and E is the number of edges.

     V = 2 - F + E

     V = 2 - (13) + (24)

     V = 13

Answer:

5610

Step-by-step explanation:

unaffected people will be (100%-2.5\%-50.75%)=46.75% of 12000:

[tex]12000\cdot 46.75\%=12000\cdot \frac{46.75}{100} =120\cdot 46.75=5610[/tex]

Answer:

[tex]\sf C. - \dfrac{3}{4}[/tex]

Explanation:

[tex]\sf Given \ equation : 4x - 3y = 12[/tex]

Rewrite in slope intercept form "y = mx + b"

[tex]\rightarrow \sf 4x - 3y = 12[/tex]

[tex]\rightarrow \sf - 3y = 12 - 4x[/tex]

[tex]\rightarrow \sf y =\dfrac{ 12 - 4x}{-3}[/tex]

[tex]\rightarrow \sf y =\dfrac{ 4}{3}x - 4[/tex]

Here the slope is 4/3 and y-intercept is -4

Perpendicular lines has negatively inverse slope.

→ per. slope = -(slope)⁻¹ = -(4/3)⁻¹ = -3/4

Answer:

[tex]-\dfrac{3}{4}[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

 [tex]y=mx+b[/tex]

where:

Given linear equation:

  [tex]4x-3y=12[/tex]

Find the slope of the given linear equation by rewriting the equation so that it is in slope-intercept form (i.e. make y the subject):

[tex]\implies 4x-3y=12[/tex]

[tex]\implies 4x-3y+3y=12+3y[/tex]

[tex]\implies 4x=12+3y[/tex]

[tex]\implies 4x-12=12+3y-12[/tex]

[tex]\implies 4x-12=3y[/tex]

[tex]\implies \dfrac{3y}{3}=\dfrac{4}{3}x-\dfrac{12}{3}[/tex]

[tex]\implies y=\dfrac{4}{3}x-4[/tex]

Therefore, the slope of the given line is 4/3.

If two lines are perpendicular to each other, the product of their slopes will be -1.   Therefore, the slope (m) of the line perpendicular to the given line is:

[tex]\implies m \times \dfrac{4}{3}=-1[/tex]

[tex]\implies m=-\dfrac{3}{4}[/tex]

The answer choice in which case the equation has no solution are; Choice A ; 40x+40=40x+20 and Choice C; -20x+40=-20x+20.

A system of linear equations is determined to have no solutions when the variable coefficients diminish upon evaluation and hence, the value of the variable can not be determined.

Hence, Choices A and C; in which case; the coefficients of variable X amount to 0 upon evaluation are equations with no solution.

Read more on no solution equation;

https://brainly.com/question/1792644

#SPJ1

By definition of logarithm the value of [tex]$3log _2(9n)[/tex] exists

[tex]$ 6(log _2(3) +3 log _2(n))[/tex].

A logarithm exists as an amount that conveys power to a specified number contains to be raised to create the assigned number.

From the definition of a logarithm, we get

aˣ = b exists the same as x = logₐb

Given: [tex]$3log _2(9n)[/tex]

Simplifying [tex]$log _2(9n) = 2log _2(3) + log _2(n)[/tex]

[tex]$= 3(2log _2(3) + log _2(n))[/tex]

Expanding the equation, we get

[tex]$3(2log _2(3) + log _2(n))[/tex]

[tex]$= 6(log _2(3) +3 log _2(n))[/tex]

[tex]$= 6(log _2(3) +3 log _2(n))[/tex]

Therefore, the value of [tex]$3log _2(9n)[/tex] exists [tex]$ 6(log _2(3) +3 log _2(n))[/tex].

To learn more about logarithm refer to:

https://brainly.com/question/1807994

#SPJ9

Answer:

1.5x = 7.5   (a)

Step-by-step explanation:

If Billy has $7.50 remaining, then he can buy x no. of boxes.

Each box costs $1.50

So, 1.5x = 7.5

Answer:

The graph increases.

Step-by-step explanation:

hope this helps!!

Answer: the graph increases

Step-by-step explanation: did test

Based on the given population function, the population of the town can be said to be increasing.

The population of the town is increasing because the value of "b" is positive and greater than one.

"b" which in this case is 0.87, is the rate at which the population is growing overtime. If it is a positive figure, then the population is expanding.

The question is:

Is the town's population increasing or decreasing?

Find out more on population functions at https://brainly.com/question/10520482.

#SPJ1

Answer:

-135689;456+((888888888

Answer:

your answer please mark me as brainlist

Step-by-step explanation:

V

=

238

m³

Answer:

There are no solutions.

Step-by-step explanation:

Hope this helped! :D

Answer:

$11.78

Step-by-step explanation:

14.89+9.33=24.22

36-24.22=11.78

The height of the building is 5.33m.

The question is to calculate the height of the building.

Based on the information given, the height will be:

Madeline eye height/Distance from X = Height of building/Building distance from X

1.55/2.75 = x/9.45

x = (1.55 × 9.45)/2.75

x = 5.33 m

Learn more about height on:

brainly.com/question/983412

#SPJ1

Answer:

domain of the sine and cosine functions is all real numbers

Step-by-step explanation:

range of both the sine and cosine functions is [−1,1]

graph can go left and right to infinity

graph goes up and down between 1 and -1

graph looks like a wave or

like U letters next to each other

UUUU

sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.

mathlibretextsorg

Answer:

dN)/(dt)=(rN(K-N))/K is the answer.

Step-by-step explanation:

The logistic equation (sometimes called the Verhulst model or logistic growth curve) is a model of population growth first published by Pierre Verhulst.

The continuous version of the logistic model is described by the differential equation is:

(dN)/(dt)=(rN(K-N))/K. (where r is the Malthusian parameter (rate of maximum population growth) and K is the so-called carrying capacity (i.e., the maximum sustainable population).

So, the correct option is ' (dN)/(dt)=(rN(K-N))/K'.

Mark as brainlist pls!

The second statement is the inverse statement of the first conditional statement.

If x and y are two propositions, then:

x ⇒ y

Is a conditional statement:

"If x, then y".

The other statement is:

¬x ⇒ ¬y

Where:

¬x means "not x"

So the statement is:

"If not x, then not y".

That would be the inverse statement of the given conditional statement.

If you want to learn more about conditional statements:

https://brainly.com/question/11073037

#SPJ1

The standard equation of a straight line is given by y = mx + b, where m is the slope (rate of change) and b is the y intercept of the line.

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

The standard equation of a straight line is given as:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept of the line.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1