find the 10th and 21st terms of -3,1,5,9

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Answer:

They have 763 baseball cards in total

Step-by-step explanation:

7×109=763

Answer:

They have 763 baseball cards in total (BRANILIST PLEASE!!!!)

Step-by-step explanation:

You just multiply the number of friends with the number of cards each person has.

Answer:

I believe it is C

Step-by-step explanation:

sorry if I'm wrong I'm not sure

Table (2) is a probability distribution table.

Probability is the possibility of happening an event.

Note the probability can never be negative, therefore, discard the tables with negative values.

Hence, table (1) and table (3) cannot be probability distribution tables.

Now, the sum of all probabilities in a probability distribution is always 1.

The sum of probabilities in the table (2) is:

0.6 + 0.05 + 0.05 +0.3

=1.0

And, the sum of probabilities in the table(4) is:

0.4 + 0.4 + 0.2 + 0.1

=1.1

Therefore, table (2) is a probability distribution table.

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Step-by-step explanation:

Assuming that the total stamp is x

According to the question

Izzati's stamps is 1/4

Ailing's number of stamps is 1/8

X= 1/4 x 1/8 = 5/8 - the remaining stamps.

Rina’s number of stamps is 7/10 x 5/8 = 35/80 x

5/8 x 35/80 = 15/80 - (Susan's stamps)

According to the question

15/80 = 42

X: 224

the total number of stamps originally is 224.

Answer:

slope=2/4 or 1/2

Y-Intercept=8

Step-by-step explanation:

-2x+4y=8

+2x both sides

4y=2x+8 /4

y=2/4x+8

Slope=2/4 or 1/2

Y-Intercept=8

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50

Answer:

-11-10=-21

-21-9= -30

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

Step-by-step explanation:

The given line has a slope of -2.

The perpendicular line will have a negative-reciprocal slope:

Use same point-slope form and the point P(2, 3):

[tex]\\ \sf\longmapsto y-4=-2(x+3)[/tex]

Here slope is -2

m=1/2

Put co-ordinates of P in equation

[tex]\\ \sf\longmapsto y-3=\dfrac{1}{2}(x+2)[/tex]

Answer:

64 = 4x

64 divided by the total sides the garden has, 4

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

Answer:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

When it says "how much more", it means to find the difference between the siblings' growth by subtracting their growths.

Step 1: Convert both mixed numbers to improper fractions

[tex]3\frac{1}{3}- 1\frac{2}{3}[/tex] Learn how to do that here: https://brainly.com/question/13099965

[tex]3\frac{1}{3}\\\\3\times3=9\\9+1=10\\\\\frac{10}{3}[/tex]

[tex]1\frac{2}{3}\\\\3\times 1 = 3\\3 + 2 = 5\\\\\frac{5}{3}[/tex]

[tex]\frac{10}{3} - \frac{5}{3}[/tex]

Step 2: Subtract

10 - 5 = 5

[tex]\frac{5}{3}[/tex] or [tex]\bold {1\frac{2}{3}}[/tex]

Therefore, Robert grew [tex]\bold {1\frac{2}{3}}[/tex] more than his brother.

Answer:

Step-by-step explanation:

(-11) + 3

-8

Answer:

=−8

Step-by-step explanation:

=−11−(−3)

=−11+3

=−8

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

Answer:

No solution

Step-by-step explanation:

Each side of the equation,once distributed, has 5x.

The 5x's cancel out to x= x-5

Which is incorrect and has no solution.

The firework is an illustration of the equation of a parabola.

The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

The casings hit the ground after 78 seconds.

This means that, a point on the graph is:

[tex]\mathbf{(x,y) = (78,0)}[/tex]

The firework exploded at a maximum of 760.5.

This means that, the vertex is:

[tex]\mathbf{(h,k) = (39,760.5)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]

[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]

Subtract 760.5 from both sides

[tex]\mathbf{a(39)^2 =- 760.5}[/tex]

[tex]\mathbf{1521a =- 760.5}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]

[tex]\mathbf{a =- 0.5}[/tex]

Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]

See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].

From the graph:

From the equation:

Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

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Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

Answer:

i d k but now i want candles from bath and body works

Step-by-step explanation:

Step-by-step explanation:

well, that's the graph. I hope it helps.

x can be any number, just substitute the value of x chosen into the linear function and get the corresponding p(x) value

like, say x=2, p(x)=4(2)=8. locate the points (2,8) on the graph paper and mark them. continue to do this for more values of x.

Answer:

Yes

Because

[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]

Also all angles are equal

Answer:

Yes

Step-by-step explanation:

Angle are equal and the ratio of the sides is 2:1.

Using the factor theorem, the equation for q is:

[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then, the equation is:

[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]

[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]

Considering that [tex]i^2 = -1[/tex]

[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]

[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]

[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]

q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.

[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]

[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]

[tex]130a = 520[/tex]

[tex]a = \frac{520}{130}[/tex]

[tex]a = 4[/tex]

Hence, the equation is:

[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]

A similar problem is given at https://brainly.com/question/24380382

Answer:

Step-by-step explanation:

The reasonable domain for the function 2 ( l + w ) = 64 is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

A function is defined as a relation between a set of inputs having one output each.

We have,

A function of the perimeter of a rectangle:

2 ( l + w ) = 64

Here,

l = length and w = width

We need to find the value of length and width such that the perimeter of the rectangle is 64.

Now,

2 ( l + w ) = 64

l + w = 32

This means the combined measure of length and width must give us 32.

We need to write as a function for length where width is given.

We can assume the width to be: 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We consider,

Width = 5, 10, 15, 20, and 25 to be the domain.

Length = 27, 22, 17, 12, and 7 to be the range.

We consider width values as the x-axis and length values as the y-axis.

The graph is given below.

Thus the reasonable domain for the situation given above is:

5, 10, 15, 20, and 25

The graph of the function 2 ( l + w ) = 64 is given below.

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Answer:

x=7.5

Step-by-step explanation:

15÷2=7.5

mean; 147

median; 147

mode; 152

Answer: Even thought it’s the ultimate substrate it can be harmful to plants

Step-by-step explanation: it also reduces glucose for cellular respiration

Answer:

1. y=20x+100(this is the equation)

2. 260(this is how much he has after 8 weeks)

Step-by-step explanation:

Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].

Johnny is saving money to buy a Nintendo Switch.

He already saved the amount of $100.

He plans to save from his allowance each week is $20

The equation that represents the total savings is mentioned below.

[tex]y=20x+100[/tex]

Therefore, Substitute the values and solve them further.

[tex]y= (20\times 8) + 100[/tex]

[tex]y= 260[/tex]

Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]

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