divide $300 in ratio 9 : 1

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

Learn more about Sequence on

https://brainly.com/question/6561461

#SPJ1

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

Answer:

\( m\overset{\Large\frown}{ABC} \: = \: 196° \)

Answer:

x = 12.49 yd

Step-by-step explanation:

We know that the triangle has a right angle due to the symbol so that means we can use pythagoras theorem to calculate x.

\(a^2 + b^2 = c^2\)

However, we need to change the subject to a or b as we have the hypotenuse but not a side:

\(a^2 = c^2 - b^2\)

Now substitute in the known variables:

\(16^2 - 10^2 = x^2\)

\(256 - 100 = x^2\)

\(156 = x^2\)

Square root both sides to find x:

\(\sqrt{156} = \sqrt{x^2} \\x = \sqrt{156}\)

x = 12.49 yd

Hope this helps!

Answer:

\(y=\sqrt{x} -2\)

Step-by-step explanation:

If you were to replace x with 0 in each of the equations, you would get

from top to bottom choices:

\(\sqrt{2}\)

\(\sqrt{-2}\)

2

-2

Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer

Answer:

2.4

Step-by-step explanation:

Answer:

144mm²

Step-by-step explanation:

48mm / 4 = 12

12 × 12 = 144mm²

Area = 144mm²

It will take them 28 minutes to fill the tank.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

The first pipe alone can fill the tank in 84 minutes.

So, the rate at which the first pipe fills the tank = 1/84

and, The second pipe can fill the tank in 42 minutes by itself.

So, the rate at which the second pipe fills the tank =1/42

If they work together, they would work simultaneously and their individual rates are additive.

= 1/84 + 1/42

let it takes t hours for both pipes to fill the tank working together, the working rate per minute would be 1/t. Therefore,

1/84 + 1/42 = 1/t

3/84 = 1/t

t = 84/3

t = 28 minutes

Hence, 28 minutes will take to fill.

Learn more about Fraction here:

https://brainly.com/question/15359585

#SPJ1

Answer:

Step-by-step explanation:

Answer:

\((i) \quad\;\;\; \left(3^0 + 4^{-1}\right) \times 2^2=5\)

\((ii) \quad \;\;\left(2^{-1} \times 4^{-1}\right) \div 2^{-2}=\dfrac{1}{2}\)

\((iii) \quad \left(\dfrac{1}{2}\right)^{-2}+\left(\dfrac{1}{3}\right)^{-2}+\left(\dfrac{1}{4}\right)^{-2}=29\)

\((iv) \quad \;\: \left(3^{-1}+4^{-1}+5^{-1}\right)^0=1\)

\((v) \quad \;\;\left\{\left(\dfrac{-2}{3}\right)^{-2}\right \}^2=\dfrac{81}{16}\)

Step-by-step explanation:

To evaluate the given expressions, we can use the following exponent rules:

\(\boxed{\begin{minipage}{6cm}\underline{Exponent Rules}\\\\$a^0=1$ \qquad \qquad \qquad \qquad $1^n=1$\\\\\\$a^b \times a^c=a^{b+c}$ \qquad \;\;$a^b \div a^c=a^{b-c}$\\\\\\$\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}$ \qquad \qquad $\left(\dfrac{a}{b}\right)^{-c}=\left(\dfrac{b}{a}\right)^{c}$\\\\\\$a^{-n}=\dfrac{1}{a^n}$\qquad \qquad \qquad$\dfrac{1}{a^{-n}}=a^n$\\\\\\$(a^b)^c=a^{bc}$\\\end{minipage}}\)

   \(\left(3^0 + 4^{-1}\right) \times 2^2\)

\(=\left(1 + (2^2)^{-1}\right) \times 2^2\)

\(=\left(1 + 2^{-2}\right) \times 2^2\)

\(=2^2 + 2^2\times 2^{-2}\)

\(=2^2 + 2^{2-2}\)

\(=2^2 + 2^{0}\)

\(=4+1\)

\(=5\)

   \(\left(2^{-1} \times 4^{-1}\right) \div 2^{-2}\)

\(=\left(2^{-1} \times (2^2)^{-1}\right) \div 2^{-2}\)

\(= \left(2^{-1} \times 2^{-2}\right) \div 2^{-2}\)

\(=\left(2^{-1-2}\right) \div 2^{-2}\)

\(=2^{-3} \div 2^{-2}\)

\(=2^{-3-(-2)}\)

\(=2^{-3+2}\)

\(=2^{-1}\)

\(=\dfrac{1}{2^1}\)

\(=\dfrac{1}{2}\)

  \(\left(\dfrac{1}{2}\right)^{-2}+\left(\dfrac{1}{3}\right)^{-2}+\left(\dfrac{1}{4}\right)^{-2}\)

\(=\dfrac{1^{-2}}{2^{-2}}+\dfrac{1^{-2}}{3^{-2}}+\dfrac{1^{-2}}{4^{-2}}\)

\(=\dfrac{1}{2^{-2}}+\dfrac{1}{3^{-2}}+\dfrac{1}{4^{-2}}\)

\(=2^2+3^2+4^2\)

\(=4+9+16\)

\(=13+16\)

\(=29\)

  \(\left(3^{-1}+4^{-1}+5^{-1}\right)^0\)

\(=1\)

   \(\left\{\left(\dfrac{-2}{3}\right)^{-2}\right \}^2\)

\(=\left(\dfrac{-2}{3}\right)^{-2\times 2}\)

\(=\left(\dfrac{-2}{3}\right)^{-4}\)

\(=\left(\dfrac{3}{-2}\right)^{4}\)

\(=\dfrac{3^4}{(-2)^4}\)

\(=\dfrac{81}{16}\)

In order to divide the segment RS in a ratio of 1:3, let's divide it by 4, this way we can use 1 part to the left and 3 parts to the right:

Dividing the length by 4, we have:

That means we can use a point X on the segment RS, where RX = 100 and XS = 300.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

Insecticides = 14/100 x 5 = 0.7

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Learn more about Pascal's triangle here:

https://brainly.in/question/31891178

#SPJ1

To solve this question, we find the sample mean, sample standard deviation, sample size, the number of degrees of freedom, the confidence interval and the required sample size. For each step, the procedures are explained and we find what is asked.

Doing this, we find that the sample mean is 347.3, the sample standard deviation is 467.4, the sample size is 10, the number of degrees of freedom is 9, the t-value for a 95% confidence interval is t = 2.2226, the margin of error for a 95% confidence interval for this sample is 328.5, the 95% CI is $18.8 < µ < $675.8 and the sample size needed in order to obtain a margin of error of no more than 100 is 94.

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

The sample mean is

Sum of all values divided by the number of values, thus:

\(\overline{x} = \frac{102 + 69 + 280 + 180 + 33 + 89 + 1643 + 205 + 177 + 695}{10} = 347.3\)

The sample mean is 347.3.

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

The sample standard deviation is

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

\(s = \sqrt{\frac{(102-347.3)^2 + (69-347.3)^2 + (280-347.3)^2 + (180-347.3)^2 + (33-347.3)^2 + (89-347.3)^2 + \cdots}{9}} = 467.4\)

The sample standard deviation is 467.4.

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

The sample size is

10 observations, thus the sample size is 10.

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

The degree of freedom for the Studentized version of the sample mean is

One less than the sample size, so 10 - 1 = 9.

The number of degrees of freedom is 9.

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

The point estimate for the mean of ALL US Overseas Loans and Grants is

The sample mean, which is 347.3.

The point estimate is 347.3.

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

The t-value for a 95% confidence interval is t

The t-value is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.2226.

The t-value for a 95% confidence interval is t = 2.2226.

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

The Margin of error for a 95% confidence interval for this sample is

\(M = t\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

For this question, \(s = 467.4, n = 10\), and thus:

\(M = 2.2226\frac{467.4}{\sqrt{10}}\)

\(M = 328.5\)

The margin of error for a 95% confidence interval for this sample is 328.5.

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

The 95 % confidence interval estimate of the mean of ALL US Overseas Loans and Grants is

The lower end of the interval is the sample mean subtracted by M. So it is 347.3 - 328.5 = 18.8

The upper end of the interval is the sample mean added to M. So it is 347.3 + 328.5 = 675.8

The 95 % confidence interval estimate of the mean of ALL US Overseas Loans and Grants is:

$18.8 < µ < $675.8.

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

The sample size is needed in order to obtain a margin of error of no more than 100 is

Here, we have to consider the sample standard deviation as the population standard deviation, and use the z-distribution. So

We have to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a p-value of , so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

In this question, \(\sigma = 467.4\)

We have to find n for which M = 100. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(100 = 1.96\frac{467.4}{\sqrt{n}}\)

\(100\sqrt{n} = 1.96*467.4\)

Dividing both sides by 100:

\(\sqrt{n} = 1.96*4.674\)

\((\sqrt{n})^2 = (1.96*4.674)^2\)

\(n = 83.92\)

Rounding up:

The sample size needed in order to obtain a margin of error of no more than 100 is 94.

For a problem that you build the confidence interval after finding the sample mean and the sample standard deviation, you can check https://brainly.com/question/24232455.

For a problem in which we have to find the sample size given the desired margin of error, you can check https://brainly.com/question/23559442

Answer:

97,655

Step-by-step explanation:

5(5)^(n-1) = 78,125

5^n = 78,125

n = 7

=> S7 = 5(5^7 -1) / (5-1)

= 5/4 (78, 125 -1)

= 5/4 (78 124) = 97,655

Answer:

x = -8, y = 11/3

Step-by-step explanation:

Answer:

0 more lol

Step-by-step explanation:

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

b7 is the answer if ur estimating

The distance between the Dog from the Home is 360.55 m and the direction of the Dog from Home is North-East.

In the inquiry,

The daring dog begins, let's say, at O.

He walks 300 meters east by 3 blocks.

then,

200 m / 2 blocks north

100 m East of 1 block

Block North = 100 meters.

200 m = 2 blocks west

So,

the separation between the Dog's initial location and ending position.

OE is supplied by,

By using Pythagoras' theorem to triangle OLE,

OE²=OL²+LE²

OE²=200²+300²

OE²=40000+90000

OE=360.55m

Therefore, the distance of the Dog from the Home is 360.55 m and the direction of the Dog from Home is North-East.

Know more about Pythagoras' theorem

https://brainly.com/question/343682

#SPJ4

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440

#SPJ1

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

for similar questions on  ingredients.

https://brainly.com/question/1578467

#SPJ8

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

25 pi^2

The circumference is diameter by pi. So you have to divide 50pi by pi, which gives you 50. Then, divide that by 2 to get your radius. 25. A=pi r^2. So you have to multiply 35 by pi, 25pi, and then make it squared.

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

700

Step-by-step explanation:

Since 3 + 4 = 7, then 300 + 400 = 700

Answer: 700

Step-by-step explanation:

300+400

700

easier way to do it in your brain is

4+3 is 7 and add the 2 zeros

so the answer is 700

Hope this helps :)

8V+3=105

clt

8v=105-3

=102

divide both sides by 8v

8v=102/8v

V=12.75

The expanded form of (x + 2)⁷ is x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128 by binomial theorem.

To expand the expression (x + 2)⁷ using the binomial theorem, you can follow these steps:

Determine the coefficients of the terms in the expansion.

The coefficients can be found using the binomial coefficient formula:

nCr = n! / (r! × (n-r)!), where n is the exponent of the binomial and r is the power of the variable in each term.

In this case, n = 7, and the terms will range from x⁷ to 2⁷.

(x + 2)⁷ = 1x⁷ + 7x⁶2¹+ 21x⁵2² + 35x⁴2³ + 35x³2⁴ + 21x²2⁵ + 7x¹2⁶ + 12⁷

(x + 2)⁷ = x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128

Therefore, the expanded form of (x + 2)⁷ is x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128

To learn more on Binomial Theorem click:

https://brainly.com/question/30095070

#SPJ1

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ1