70 minutes for 24 songs
=
[blank] minutes for 12 songs

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.

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:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - π[tex]r^{2}[/tex] )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of π[tex]r^{2}[/tex], for a total of 2π[tex]r^{2}[/tex].  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2π[tex]r^{2}[/tex] + 2πrh.

2π[tex]r^{2}[/tex] + 2πrh = 600

π[tex]r^{2}[/tex] + πrh = 300

πrh = 300 - π[tex]r^{2}[/tex]

h = (300 - π[tex]r^{2}[/tex] )/πr

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

mean; 147

median; 147

mode; 152

Answer:

80%

Step-by-step explanation:

Answer:

a. ratio is 180:240

B. ratio is 240:180

C. ratio is 420:180

d. ratio is 240:420

Hope this helps!!

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:

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.

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

Cost of e-book = $5 each.

Cost of paperback = $12 each

Number of e-books = x

Number of paperbacks = y

Therefore, the equation that can be used to model the situation regarding the e-books and paperback will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

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Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

c = 164

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

164 cents

Answer:

x=7.5

Step-by-step explanation:

15÷2=7.5

Answer:

64 = 4x

64 divided by the total sides the garden has, 4

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.

Learn more about functions here:

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Answer:

-11-10=-21

-21-9= -30

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.

Learn more on probabilities here:

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1000 millimeters are found in centimeters

Answer:

Step-by-step explanation:

(-11) + 3

-8

Answer:

=−8

Step-by-step explanation:

=−11−(−3)

=−11+3

=−8

Answer:

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

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…

Answer: y = -3/4x - 15/2

Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b

-9 = -1.5 + x

x = -15/2

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:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

Answer:

x = 2

So the value of x is 2

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:

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

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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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.

Lets take 7:4 be 7x and 4x

7x - 4x = 15

3x = 15

x = 5

______________________________

7x = 7 × 5 = 35

4x = 4 × 5 = 20