p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)

C .

\(f(n) = \frac{4}{5} (n - 1) - \frac{7}{5} \\ \)

Answer:

Option (B)

Step-by-step explanation:

In the graph attached,

Two lines graphed have the equations as,

y = 2x - 3 [A line having y-intercept as (-3)]

\(y=\frac{1}{3}x+4\) [Line having y-intercept as (4)]

Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].

Now shaded region will decide the signs of the inequalities.

Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,

y > 2x - 3

Since, shaded region of \(y=\frac{1}{3}x+4\) is above the line, inequality showing this region will be,

\(y>\frac{1}{3}x+4\)

Therefore, Option (B) will be the answer.

Answer:

B

Step-by-step explanation:

Just is cuh

They’re the same.

Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.

So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.

1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.

Answer:

The are the same.

Step-by-step explanation:

Because both begin with a 1, ignore that for now.

You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.

Start with 4/6. They are both even numbers, so 2. 4/2 =  2 and 6/2 = 3

so 4/6 can be reduced to 2/3.

14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!

14/7 = 2   21/7 = 3    so 14/21 can be reduced to 2/3!

You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.

\(\frac{4}{6} * \frac{21}{21} = \frac{84}{124}\)

\(\frac{14}{21} * \frac{6}{6} = \frac{84}{124}\)

This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.

The probability of making a basket on the sixth shot is 0.075. The probability that the first and second baskets occur on the fourth and eighth shots is 0.031.

For the first shot to be on the sixth trial, five earlier shots must have failed.

The probability of a missed basket is 1 - 0.45 = 0.55.

The probability of five missed baskets in a row is (0.55)5 = 0.166.

The probability of making a basket on the sixth shot is 0.45.

Hence, the probability of making a basket on the sixth shot is 0.45 * 0.166 = 0.075.
There are a few possible ways to get the first and second baskets to happen on the fourth and eighth shots, respectively.

In the end, either of the following two paths will work:
4 failures, then 2 successes, then 2 failures
3 failures, then 1 success, then 1 failure, then 1 success, then 2 failures
Using the multiplication rule, we get the following probabilities for each course:
P(4 failures, 2 successes, 2 failures) = (0.55)4 * (0.45)2 * (0.55)2

= 0.018
P(3 failures, 1 success, 1 failure, 1 success, 2 failures) = (0.55)3 * (0.45) * (0.55) * (0.45) * (0.55)2

= 0.013
The probabilities of the two possible routes must be summed up to arrive at the answer.
Hence, the probability that the first and second baskets occur on the fourth and eighth shots, respectively, is 0.018 + 0.013 = 0.031.

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Answer:

4) Dmytro drank more juice

5) Henrietta is older

Step-by-step explanation:

4)

Dmytro drank 7/4 bottles which is 1.75 bottles

Jitka drank 1 1/2 bottles which is 1.5 bottles

So, Dmytro drank more juice

5)

Henrietta is 7 2/3 years old which is 7.66

Jagdeep is 65/12 years old which is 5.41

So, Henrietta is older

Answer:

-x^2+y+6x-8

hope this helps

Answer:

\(\boxed{26 pupils}\)

Step-by-step explanation:

Girls for English:

20 + English + 12 = 36

English + 32 = 36

English = 36-32

English = 4 (For girls)

Total for Science:

12+7 = 19

Total for English:

25 + English + 19 = 70

English + 44 = 70

English = 70-44

English = 26 pupils

There are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

The table shows data about the favorite subject of some of the students.

The following things can be observed from the given table:

So, the total number of students of English subject can be calculated as,

\(70-25-19=70-44\\=26\)

So, out of 26 students, 6 are girls and 20 will be boys who love English subject.

Therefore, there are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

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Answer:

th answer is 324

Step-by-step explanation:

i took the test

Answer:

18.8

Step-by-step explanation:

Answer:

decision-making

Step-by-step explanation:

Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.

We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.

We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.

The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.

So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.

If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k

dx + ∫7dx= (k²/2) + 7x+ C

where C is the constant of integration.

Since the value of C is not given, we cannot say anything about the exact value of the integral.

However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.

Therefore, we can use the Integral Test to determine the convergence or divergence of the series.

Using the Integral Test, the correct choice is B.

Since the integral ∫(k+7)dx diverges, the series also diverges.

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Answer:

x² + 8x

Step-by-step explanation:

→ Write down the formula for the area of a trapezoid

0.5 ( a + b ) × h

→ Substitute in the values

0.5 ( x + 10 + x + 6 ) × x

→ Simplify

0.5 ( 2x + 16 ) × x

→ Simplify again

x × ( x + 8 )

→ Evaluate

x² + 8x

Answer:

1/3

Step-by-step explanation:

Tina's kitchen has an area of 44.5925 \(m^{2}\) and it will cost her $2,520 to buy 45 square meters of flooring.

a) To work out the area of Tina's kitchen, we need to multiply the length by the width:

925 cm * 485 cm = 445,925 \(cm^{2}\)

We can convert this to square meters by dividing it by 10,000:

445,925 \(cm^{2}\) / 10,000 = 44.5925 \(m^{2}\)

To use estimation to check the answer, we can round both the length and the width to the nearest 10 cm:

925 cm ≈ 930 cm and 485 cm ≈ 480 cm

So, the kitchen's area would be approximately:

930 cm * 480 cm = 448,000 \(cm^{2}\)

And converting this to square meters:

448,000 \(cm^{2}\) / 10,000 = 44.8 \(m^{2}\)

So our answer of 44.5925 \(m^{2}\) is close to the estimate of 44.8 \(m^{2}\).

b) To find out how much Tina has to pay for flooring, we multiply the area by the cost per square meter:

44.5925 \(m^{2}\) * $56/\(m^{2}\) = $2,505.02

However, flooring is only sold in whole numbers of square meters, so Tina will have to round up to the nearest square meter:

45 \(m^{2}\) * $56/\(m^{2}\) = $2,520

To check this answer using inverse operations, we can divide the total cost by the cost per square meter:

$2,520 / $56/\(m^{2}\) = 45 \(m^{2}\)

So Tina pays $2,520 for 45 square meters of flooring.

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Answer:

144 in3

Step-by-step explanation:

length×height×width

6×6×8= 144

EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

Answer:

y= -1/2x +5.5

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Let's break down the information provided in the problem:

The man spends 2/3 of his high salary on rent and food.

This means that he has 1/3 of his salary remaining.

He then spends 1/4 of this remaining amount on transportation.

He has 6000 rupees left.

To solve for the amount he pays on transportation, we can use the following steps:

Calculate the amount of money he has left after spending 2/3 of his salary on rent and food:

Remaining amount = (1/3) * high salary

Calculate the amount he spends on transportation using the information that he spends 1/4 of the remaining amount:

Transportation cost = (1/4) * remaining amount

Substitute the value of remaining amount from step 1 into step 2:

Transportation cost = (1/4) * [(1/3) * high salary]

We are given that the man has 6000 rupees left, so we can set the equation above equal to 6000 and solve for high salary:

(1/4) * [(1/3) * high salary] = 6000

Simplifying the equation above:

(1/12) * high salary = 6000

Solving for high salary:

high salary = 6000 * 12 = 72000

Finally, substituting high salary from step 6 into step 3 to find transportation cost:

Transportation cost = (1/4) * [(1/3) * 72000] = 6000

Therefore, the man pays 6000 rupees on transportation.

Answer:

\(\huge\boxed{V=64cm^3}\)

Step-by-step explanation:

The formula of a surface area of a cube:

\(SA=6a^2\)

The formula of a volume of a cube:

\(V=a^3\)

We have

\(SA=96cm^2\)

Calculate the edge length (a).

\(6a^2=96\)           divide both sides by 6

\(a^2=16\to a=\sqrt{16}\\\\a=4(cm)\)

Calculate the volume of a cube:

\(V=4^3=64(cm^3)\)

Answer:

24 / 6 = ccc

Step-by-step explanation:

There is 24 oz of cheese total that will be split evenly (divided) into 6 parts.

Each part will equal one sandwich worth of cheese (ccc) on the other side of the equation.

This one is very simple to solve, you could just calculate 24/6 to get your answer. But I'll go through it using typical algebra you would use for a less simple equation.

To solve:

Multiply by 6 to cancel the division by 6 on the left side

24 = 6ccc

Divide by 6 to isolate ccc again

4 = ccc

So each sandwich would get 4oz of cheese.

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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Answer:

(3,1) : Domain = 3

        Range = 1

(2,8) : Domain = 2

        Range = 8

(1,9) : Domain = 1

        Range = 9

(-3,7) : Domain = -3

        Range = 7

(5,5) : Domain = 5

        Range = 5

In conclusion the equation in function form to show the amount of trash removed each week is:

B. f(x) = -2.6x + 68

How to solve?

We can use the slope-intercept form of a linear function to write the equation. The slope is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates:

slope = (42 - 55)/(10 - 5) = -13/5

We can use the point-slope form of a linear function to find the equation:

y - 55 = (-13/5)(x - 5)

Simplifying, we get:

y = (-13/5)x + 68

Therefore, the equation in function form to show the amount of trash removed each week is:

B. f(x) = -2.6x + 68

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With this query, no effort is necessary. measure the tbsp. of all items.

A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.

1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.

No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.

2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.

No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.

No work is required for this question. It is a simple instruction to add  \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.

4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.

No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.

5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.

No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.

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The probability that a woman who gave birth at the hospital was both unmarried and over is 0.05.

Let's assume there were 100 women who gave birth at the hospital last year. We are given that % of them were over years old, which means 35 women were over years old. We are also given that % of them were unmarried, which means 20 women were unmarried. Since % of the women were over or unmarried (or both), it means there were 45 women who were either over or unmarried.

To find the probability that a woman was both unmarried and over, we divide the number of women who satisfy both conditions (i.e., unmarried and over) by the total number of women. Since we don't have the exact numbers, we assume that the events are independent, which means we multiply the probabilities of being unmarried and being over. Therefore, the probability is (20/100) * (35/100) = 0.05.

Hence, the probability that a woman who gave birth at the hospital was both unmarried and over is 0.05, or 5%.

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We can write the above expression as

Now we know that

And

Also for the piece

So we shall use

And

To fill the blanks so that this expression will be similar to the above.

Given:

The dimensions of the prism are given as,

The objective is to find the volume of the prism.

Explanation:

The general formula to find the volume of the prism is,

To find volume:

On plugging the given values in equation (1),

Hence, the volume of the prism is 47.5 ft³.

The y-intercept of the line on the graph is -60.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the y-intercept is the point where the graph intersects the y-axis.  The y-intercept is the value of y when x = 0.

Therefore, on the graph the value of y when x is equals to zero is -60.

Hence,

y-intercept = -60

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Answer:

quest has the greatest range

Step-by-step explanation:

hot spot's range is 1.26*10^4=12600

and quest's range is 13200

13200>12600

hope this helps :) have a nice day !!

Answer:

The second option

Step-by-step explanation:

c=\(\sqrt{16^{2} +12^{2} }\)

c=20 m