Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
which of the following statements is true?

Answer:

  30 cm

Step-by-step explanation:

The distance from the intersection of the diagonals (center of the parallelogram) to one side is half the height when that side is considered the base.

So, if the height is 2×(2 cm) = 4 cm, and the area is 36 cm², the base for that height must be ...

  (36 cm²)/(4 cm) = 9 cm.

Similarly, if the height is 2×(3 cm) = 6 cm, the base for that height is ...

  (36 cm²)/(6 cm) = 6 cm.

These "bases" are the side lengths of the parallelogram, so its perimeter is ...

  P = 2(s1 +s2) = 2(9 cm +6 cm) = 30 cm

The perimeter of the parallelogram is 30 cm.

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

Answer:

2.5

Step-by-step explanation:

the mean, better known as the average, can be found by finding the sum of  all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5

Answer:

2.5

Step-by-step explanation:

Answer:

10 s'mores

Step-by-step explanation:

20 ÷ 2 = 10

but only if she has enough of the other ingredients too :)

Answer:

10 smore's

Step-by-step explanation:

If 2 graham crackers is required to make 1 smore

then 20 graham crackers will make 10 smore's

2 x 10 = 20

Answer:

Option B.

Step-by-step explanation:

Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].

It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).

Let as consider the two functions,

[tex]f(x)=3^x[/tex]

[tex]g(x)=5x+12[/tex]

Now, table of values is

Month(x)        [tex]f(x)=3^x[/tex]           [tex]g(x)=5x+12[/tex]

    1                      3                          17

    2                     9                         22

    3                     27                        27

    4                     81                        32

From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).

In month 3, heights are equal.

In month 4, height of the f(x) plant exceed that of the g(x) plant.

Therefore, the correct option is B.

Answer:

False

Step-by-step explanation:

The first part is correct because adding 4 to each side will help isolate the variable w, but since w is divided by 8 already you would want to multiply by 8 instead, so dividing each side by 8 would not work.

Answer:

11

Step-by-step explanation:

================================================

Explanation:

x = time it takes for the bell to ring, time is in minutes

d = distance from his house to the school, in meters

distance = rate*time

If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late. This means he took x+3 minutes to get to class. The x represents the amount of time it takes if he arrived on time, then the +3 is those 3 minutes he is late. We then write

d = 50(x+3)

d = 50x+150

If he runs to school, then he's 3 minutes early. So he took (x-3) minutes to get to class. His rate is 80 meters per minute

d = 80(x-3)

d = 80x-240

We're referring to the same distance (d) value, which allows us to perform substitution to solve the two equations we formed

80x-240 = 50x+150

80x-50x = 150+240

30x = 390

x = 390/30

x = 13

Andrew has 13 minutes to get to class.

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

Checking the answer:

If he walks at a speed of 50 m per minute, then he'll be 3 minutes late. So he really took 13+3 = 16 minutes to arrive. His distance traveled is d = r*t = 50*16 = 800 meters.

If he ran 80 m per minute, and is 3 minutes early, then he took 13-3 = 10 minutes to get to class. His distance is the same as before d = r*t = 80*10 = 800 meters. The fact we get 800 both times helps confirm we have the right answer.

Andrew has 13 minutes to get to class.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.

Now, let x be the time it takes for the bell to ring.

let d be the distance from his house to the school, in meters

distance = speed*time

If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late.

So, Andrew took x+3 minutes to get to class.

Here in the expression +3 shows that she is late.

So,

d = 50(x+3)

d = 50x+150

Now, If he runs to school, then he reached 3 minutes early.

So, toe get in class he will take (x-3) minutes

Here -3 show the child reached early

d = 80(x-3)

d = 80x-240

Since the distance is same.

So, the two equations are equal.

80x-240 = 50x+150

80x-50x = 150+240

30x = 390

x = 390/30

x = 13

Hence, Andrew has 13 minutes to get to class.

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Answer:

1/4

Step-by-step explanation:

Given:

Colors

Yellow 1

Red 1

Blue 2

Total 4

Required:

Times that the spinner landed on red=?

Formula:

Probability=Successful outcome ÷ Possible outcome.

Solution:

Probability=Successful outcome ÷ Possible outcome

Probability=1÷4

Probability=1/4

Hope this helps ;) ❤❤❤

Answer:

about 125 times

Step-by-step explanation:

Answer:

c)  x² + 3x + 1

Step-by-step explanation:

-3 /  1         6          10         3

                 -3          -9         -3          

      1         3             1          0

Answer:  x² + 3x + 1

Step 1: Carry down the first number 1 as it is

Step 2:  Multiply 1 by -3 (1 * -3 = -3) and write this -3 under the next number 6 and then add. 6 + (-3) = 3

Step 3: Multiply this 3 by -3 (3 * -3 = -9) and write this -9 under the next number 10 and then add.10 +[-9] = 1

Step 4: Multiply 1  by -3 (1 * -3 = -3) and write this -3 under the next number 3 and then add. -3 +[-3] = 0

Answer:

The number of bacteria present at 5 hours is 148.413

Step-by-step explanation:

Function: [tex]f(t)=e^t[/tex]

This function describes the growth of a colony of bacteria, where t is hours.

We are supposed to find the number of bacteria present at 5 hours.

So, Substitute t = 5

So, the number of bacteria present at 5 hours =[tex]e^5[/tex]

The number of bacteria present at 5 hours = 148.413

So, Option D is true

Hence the number of bacteria present at 5 hours is 148.413

Answer:

$2216.72

Step-by-step explanation:

Simply plug in your known variables into the formula:

a = 1000

r = 0.04 (4%)

n = 4

t = 20

A = 1000(1 + 0.04/4)⁴⁽²⁰⁾

A = 1000(1 + 0.01)⁸⁰

A = 1000(1.01)⁸⁰

A = 1000(2.21672)

A = 2216.72

Answer:

Jenny has 50 marbles

Step-by-step explanation:

I find it easiest to right down the numbers as I read the question,

(9+10-4) x3 +7-2

Answer:

3,5,7

Step-by-step explanation:

Answer:

7,8.15

Step-by-step explanation:

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

Answer:

The first one isn't the second one is.

Step-by-step explanation:

In the first one, they have to be equal because they're corresponding angles so m and n are parallel.

In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.

Answer:

[tex]y = -2x[/tex]

Step-by-step explanation:

Given

x || 0 || 1 || -2

y || 0 ||  -2 || 4

Required

Determine the function rule

First, we have to determine the slope of the function using;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where x and y represent any two corresponding values of x and y

When x = 0; y = 0  [tex](x_1,y_1)[/tex]

When x = 1; y = -2  [tex](x_2,y_2)[/tex]

Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]

[tex]m = \frac{0 +2}{0 - 1}[/tex]

[tex]m = \frac{2}{- 1}[/tex]

[tex]m = -2[/tex]

Next, is to determine the function rule; using slope intercept form as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

Take any corresponding values of x and y as x1 and x2

When x = -2; y = 4

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

Open the bracket

[tex]y - 4 = -2x -4[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = -2x - 4 + 4[/tex]

[tex]y = -2x[/tex]

Hence, the function rule is [tex]y = -2x[/tex]

Answer:

y = -2 x - 1

Step-by-step explanation:

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

Answer:

3.04 is the correct answer =)

Step-by-step explanation:

Answer:

Question one

2121.76 km

Question two

(N30°E)

Step-by-step explanation:

The given information are;

The time the plane takes off = 10:15 a.m.

The direction of flight of the plane = S30E

The speed of flight of the plane = 700 km/h

Question one

The of flight at 1:45 p.m. - 10:15 a.m = 3.5 hours

The distance traveled South by the plane is the product of the y-component of the velocity and the time of travel of the plane

The y-component of the velocity = v×cos(θ) = 700 × cos(30) =  350·√3 km/h

The distance traveled = 350·√3 km/h × 3.5 = 2121.76 km

Question two

The compass bearing of the airport the plane is North 30° West (N30°E).

Answer:

A

Step-by-step explanation:

Answer:

B

You do not have enough information to solve the question.

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

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Answer:

Yes, it is an exponential function. The base is 2.

Step-by-step explanation:

As you can see, the function is f(x) = 2^(2x).

Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.

The base is 2 because 2x, the exponent, is applied to it.

---

I hope this helps, let me know if you have any questions.

Step-by-step explanation:

2 digit numbers are beetween 10 and 99

We are looking for numbers in wich the unit digits is less than the ten digit

we can make notice something about this numbers

0 is the smallest postive integer so all these numbers satisfy the condition

so we have now 9 numbers

here is another remark :

numbers from 91 to 99 satisfy the condition except 99

so here are 8 other numbers

numbers from 80 to 89 satisfy the condition except 88 and 89

so here are 7 other numbers

the numbers that satisfy the  keeps decreasing by 1 each time

so the total number of numbers that satisfy the condition

9+8+7+6+5+4+3+2+1= 45

Answer:

5a.    0.2823 = 2823/10000                        5b.   0.5474 = 2737/5000

6a.    0.3484 = 871/2500                              6b.   0.5 = 1/2

7a.   0.11 = 1/9                                                7b.    0.1224 = 153/1250

Answer:

$980

Nvm you have to multiply 98 by 10 since there are 10 participants. :)

Step-by-step explanation:

Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.

Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.

Last Step:

Total for Morning Classes + Total for the Other Classes = $56 + $42

                                                                                             = $98

Hope that helped! :)

Answer:

$ 980

Step-by-step explanation:

Discount for morning session = 25 % of 28 = 0.25 * 28 = $ 7

Fees for morning class = 28 - 7 = $ 21

Maximum people in one session = 10

Money earned in the morning sessions = 2 * 21 * 10 = $ 420

Money earned in the evening sessions = 2 * 28 * 10 = $ 560

Total money earned that day = 420 + 560 = $ 980

Answer:

C, 16

Explanation:

A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!

The measure of length BC of the rectangle will be 16 units. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

From the diagram, we have

AD = BC = 16 units

Then the correct option is C.

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Answer:

Hey there!

Look at the image below ↓

Hope this helps :)

The graph of the given equation  x – 2y = 3​ is attached below.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that the equation as;

x – 2y = 3​

Therefore, it can be write as;

-2y = -x + 3

-y = -x/2 + 3

Here the slope is -1/2.

Hence, the graph of the given equation  x – 2y = 3​ is attached below.

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Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

The graph of the linear equation y = -5x + 4 is in the image at the end.

Here we want to do the graph of a line where the slope is -5 and the y-intercept is 4.

Then we can write the line as:

y = -5x + 4

To graph the line, we need to find two points on the line, to find these points just evaluate the function in two values.

if x = 0

y = -5*0 + 4

y = 4 ---> we have the point (0, 4)

if x = 1

y = -5*1 + 4 = -1  ---> we have the point (1, -1)

Now graph these two points and connect them with a line, you will get a graph like the one below.

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The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test