Simplify $(-3x^2 y)(5x^4 y^3).$

The number of presales tickets can be obtained as 300. The correct option is (B).

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Since, total number of people are 400.

Suppose the number of pre-sales tickets be x.

Then, the number of at door tickets is given as 400 - x.

As per the question, the following equation can be written for total money raised as,

⇒ 10x + 20(400 - x) = 5000

⇒ 10x = 3000

⇒ x = 300

Hence, the number of pre-sales tickets is given as 300.

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Answer: The answer would be 100.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

You have to do the division first unless it is a fraction.

14/2 = 7

30 - 7 = 23

If it was a fraction (with 30 - 14 on top and 2 on the bottom) Then the answer would be 8 > 30 - 14 = 16/2 = 8

Hope this helps.

The target of achieving 88% votes from people is not achieved

Given that the golden party got 12598 votes, the pink party got 9112 votes, the brown party got 20059 votes and the purple party got 4466 votes. and 52,852 people can vote

The total number of people participated in voting=12598 + 9112 + 20059 + 4466

The total number of people who participated in voting=46,235

Percentage of people who participated in voting= [tex]\frac{46235}{52852}[/tex]×100

The percentage of  people who participated in voting=87.5%

The target is 88%, 88%>87.5% i.e. lesser than the actual voting percentage

Therefore, The target of achieving 88% votes from people is not achieved

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The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.

What is inflation?

Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.

This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.

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Given ~

[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]

[tex] \: [/tex]

put the value of x = -7 in given function ~

[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]

[tex] \: [/tex]

[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]

[tex] \: [/tex]

[tex]\tt \: f( - 7) = - 21 - 12[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]

[tex] \: [/tex]

hope helps ~

Answer:

7/8

Step-by-step explanation:

This is a counting exercise. Think of the 200 persons that you have to separate into two groups:

1) A group that satisfies the condition of the question

2) A group that does not satisfy the condition

Then, count how many persons are in group 1, and divide that by the total (200). That is your probability.

For (i), you will find 175 persons in group 1. Even though there are many persons with not blue AND not fair hair, they are only in the group once, so don't count them double.

Then 175/200 = 7/8

In fact, you could reverse the question by counting how many people do not satisfy the condition. That group are the persons that have both blue eyes and fair hair. That is the only way to not satisfy the condition. That amount is 25, you can read it from the table.

The chance of being in that group is 25/200 = 1/8.

P(group 1) + P(group 2) = 1

So you now have two ways of getting your answer.

P(group 1) = 1 - 1/8 = 7/8.

Answer:

(1,-1/2)

Step-by-step explanation:

Add both x values and divide by 2

Add both y values and divide by 2

( -5+7 )/2 = 1

(4 - 5)/2 = -1/2

(1,-1/2)

The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -

∠2 = 3 ∠3

∠2 = 3 ∠1

∠1 + ∠2 = 90

∠1 + 3 ∠1 = 90

4 ∠1 = 90

∠1 = 22.5°

∠2 = 90 - ∠1

∠2 = 90 - 22.5

∠2 = 67.5°

According to Shannon, ∠3 = ∠4

∠3 + ∠3 = 90

2 ∠3 = 90

∠3 = 45° = ∠4

∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.

67.5 = 1/2 × ∠5

∠5 = 67.5 × 2

∠5 = 135°

Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

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Answer:

the coordinates of BB would be: B(8,1)

Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

Step-by-step explanation:

Define Time and Distance and Speed:

The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as

      Distance ∝ Time          (Eq. 1)

The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.

Speed ∝ Distance  (Eq.2)

Speed∝1/Time     (Eq.3)

Then, we can represent each parameter through the following equations:

Speed =Distance/Time

Distance=Speed × Time

Time =Distance/Speed

We can write:

Distance covered by driving:  d=135 miles

Driving speed:  s=45 mph

Recall the formula for the relationship of time, distance, and speed.

Time =Distance/Speed

Substitute d=135 and s=45 into the above formula, and simplify.

t=d/s

t=135/45

t=3 hours

Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

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The value and the summation expression are 2 and -6 + 8

The expression is given as:

8 - 6

When expressed as a sum, the expression can be rewritten as

-6 + 8

When the expression is evaluated, we have

-6 + 8 = 2

Hence, the value and the summation expression are 2 and -6 + 8

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Answer:

[tex] \sf \large \: x = −18[/tex]

Step-by-step explanation:

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

−108 = 6x

Step 1: Flip the equation.

6x = −108

Step 2: Divide both sides by 6.

6x/6 = −108/6

x = −18

Answer:

Yes

Step-by-step explanation:

This function is called a discrete function since the function isn't continuous like a line but consists of individual points.

Also, the points in the function don't share the same x-coordinate, so the function passes the vertical line test.

Answer:

S' (- 3, 9 ) , V' (- 4, 3 )

Step-by-step explanation:

consider the coordinates of R and R'

R (2, 1 ) , R' (- 4, 8 )

2 → - 4 in the x- direction is - 6

1 → 8 in the y- direction is + 7

then the translation rule is

(x, y ) → (x - 6, y + 7 )

S (3, 2 ) → S' (3 - 6, 2 + 7 ) → S' (- 3, 9 )

V )2, 6 ) → V' (2 - 6, 6 + 7 ) → V' (- 4, 13 )

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = [tex]\int_a^b \delta\left|r^{\prime}(t)\right| d t[/tex]

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

[tex]\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}[/tex]

Further simplifying;

[tex]\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}[/tex]

Now, use integration to find the mass of the wire;

       [tex]\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}[/tex]

Therefore, the mass of the wire is estimated as 40π√2 units.

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The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

Answer:

the distance is 4 unit squares

Answer:  YES

Step-by-step explanation:

Variable have values it can be constant or changing.

for example if it is assigned a constant value 5 then it is a constant

if it has a function that varies from one value to another then it too has value but it frequently changes.

Just treat variable as a container containing some water in it sometimes we know about its quantity and sometimes it is unknown.

They may or may not have a value of 1 depending on what values  you are assigning to them

hope it was of help

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Answer:

r+3

Step-by-step explanation:

r is an expression. To get an expression that is 3 more, just add 3

r+3

The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

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Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

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x+2x+x=d is solution set of a linear system whose augmented matrix.

What does matrix mean?

First statement

[ 1 2 3 | d][x]

[ 1 2 3]x=d

x+2x+3x=d

Second statement

Ax=d

Given that A = [ 1 2 3]

[ 1 2 3]x=d

x+2x+3x=d

x+2x+x=d

Then, they are going to have the same solution

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Answer:

D

Step-by-step explanation:

The number of questions is 20; it's the total points that are worth 50 and the question is asking for number of questions

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

From the question, we are to graph the given inequality

The given inequality is

1 < y + 7x ≤ 12

First, we will separate the inequality

1 < y + 7x and y + 7x ≤ 12

1 < y + 7x

We will determine two points on the line

1 = y + 7x

When x = 0

1 = y + 7(0)

1 = y

y = 1

(0, 1)

When y = 8

1 = y + 7x

1 = 8 + 7x

1 -8 = 7x

-7 = 7x

x = -7/7

x = -1

(-1, 8)

We can use these two points to plot the line of 1 < y + 7x

Also,

We will determine two points on line y + 7x ≤ 12

y + 7x = 12

When x = 0

y + 7(0) = 12

y + 0 = 12

y = 12

(0, 12)

When y = 5

5 + 7x = 12

7x = 12 - 5

7x = 7

x = 7/7

x = 1

(1, 5)

We can use these two points to plot the line of y + 7x ≤ 12

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

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The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

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Answer: 0.4<0.5

Step-by-step explanation:

From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

Here we have the table:

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

Given the problem above, we would do the following:

Using the information given, we would form two equations for the system as shown below:

2v + 3d = 90 ---> equation 1

v + 2d = 51.5 ---> equation 2

Multiply equation 2 by 2 to get equation 3

2v + 4d = 103 ---> equation 3

Subtract equation 1 from equation 3

d = 13

The cost of one DVD = d = $13.00

Substitute d = 13 into equation 2

v + 2d = 51.5 ---> equation 2

v + 2(13) = 51.5

v + 26 = 51.5

v = 51.5 - 26

v = 25.5

The cost of one video game = v = $25.50.

Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

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      Answer

        x = 0

____________

         [tex]2\left(3x-1\right)+2\left(4x+5\right)=8\\2\left(3x-1\right)+2\left(4x+5\right)\\2\cdot \:3x-2\cdot \:1\\2\cdot \:3=6\\2\cdot \:1=2\\=6x-2\\=6x-2+2\left(4x+5\right)\\2\left(4x+5\right)\\2\cdot \:4x+2\cdot \:5\\2\cdot \:4=8\\2\cdot \:5=10\\=8x+10\\=6x-2+8x+10\\6x+8x-2+10\\14x-2+10\\14x+8\\14x+8=8\\14x+8-8=8-8\\14x=0\\\frac{14x}{14}=\frac{0}{14}\\x = 0[/tex]

_____________

Answer:

x = 0

Step-by-step explanation:

Given equation,

→ 2(3x - 1) + 2(4x + 5) = 8

Now the value of x will be,

→ 2(3x - 1) + 2(4x + 5) = 8

→ 6x - 2 + 8x + 10 = 8

→ 14x + 8 = 8

→ 14x = 8 - 8

→ x = 0/14

→ [ x = 0 ]

Hence, the value of x is 0.