ANWSER FOR QUESTION 12

75 points and will give brainly

The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

(1/4)(12x - 5.6) = 0.5(3x + 0.7)

Opening the bracket gives:

3x - 1.4 = 1.5x + 0.35

x = 7/6

The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6

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\(\dfrac 54 (x-2) +2x -4 = 9\\\\\implies \dfrac{5x-10}{4} +2x = 9 +4 \\\\\\\implies \dfrac{5x -10 + 8x}4 = 13\\\\\implies 13x -10 = 13 \times 4 =52\\\\\implies 13x = 52 +10 = 62\\\\\implies x = \dfrac{62}{13}\)

Answer:

b

Step-by-step explanation:

ok

Answer:

31

Step-by-step explanation:

I'm not sure if it's possible to use mode in this equation. To find the number of cards in each stack, you just need to divide 527 by 17 and you'll find your answer.

527/17 = 31

Answer:

[9/5,∞)

Step-by-step explanation:

Rearrange variables to the left side of the equation: c ≥ 11/5-2/5

Calculate: c ≥ 9/5

Express solution set in interval notation: [9/5,∞)

Answer:

C and E

Step-by-step explanation:

The change in elevation was 44 + 20 = 64 m

the rate of fall was 64 m / 32 s = 2 m/s

The anchor reached the surface in 44 / 2 = 22 s so C is valid

E is correct as the ocean surface is origin and Up is the positive direction.

The anchor starts at 44 m above the surface and position is lower by 2 meters every second

From the question, the two correct options about the speed with which the anchor was released are:

First we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.

44 + 20 = 64 meters

Next we calculate the rate with which the fall occurred

The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second

44/2 = 22 hence it can be concluded that C is right.

Option E is also correct given that the water surface is above the ground and it is positive

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Answer:

(9x - 1)²

Step-by-step explanation:

If you can tell, the square root of 81 is 9. This should be a clue that the polynomial could be one binomial squared. If you tried factoring starting out with 9x in both parenthesis, you could see that you would get (9x - 1)² as your answer.

Answer:

(9x-1)²

Step-by-step explanation:

81x² - 18x + 1= (9x)²- 2*9x+1²= (9x-1)²

A student selected at random from the class has a 0.5 is 50% chance of not participating in sports, according to the probability notion.

A probability is calculated by dividing the entire number of possible outcomes by the desired outcomes.

In this issue:

The total number of students is 30 (8 + 7 + 3 + 12).

3 + 12 = 15 of the total don't participate in sports.

Hence:

p =D/T = 15/30 = 0.5

There is a 50% chance that a student who was randomly selected from the class does not participate in sports.

A student selected at random from the class has a 0.5 is 50% chance of not participating in sports, according to the probability notion.

The complete question is :in a class of students, the following data table summarizes how many students playing instrument or a sport. What is the probability that student plays an instrument given that they play a sport?

play an instrument and a sport: 3

play an instrument but does not play a sport: 8

does not play an instrument but plays a sport: 7

does not play an instrument or a sport: 12

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

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

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

im pretty sure the answer is (-5,-7)?

The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

Step-by-step explanation:

32.) We are looking for the values that are in x, z, or both

so 1,2,4,6,8,9

33.) We are looking for the values that are in x and y

so 4

34.) We are looking for the value that are in y,z, or both

so 1,2,3,4,5,6,7,8,9

35.) We are looking for the values that are in y and z

so none

Answer:

5.89 dollars

Step-by-step explanation:

To find the unit price, we use t/q where t is the total price and q is the quantity.

Therefore, it costs 5.89 dollars for a pair of gloves.

The unit price of the pair of gloves will be $8.79 for each pair of gloves.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A package of 5 pairs of insulated gloves costs ​$43.95. Then the unit price of the pairs of gloves is calculated as,

Rate = $43.95 / 5

Rate = $8.79 for each pair of gloves

The unit price of the pair of gloves will be $8.79 for each pair of gloves.

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Answer:

93

Step-by-step explanation:

The measurements of the cylindrical (round and hollow) drum that minimize the fetched of development are roughly 10.19 yards by 2.46 yards.

Let's expect that the round and hollow drum includes a stature of h and a span of r.

The volume of a barrel is given by: V = πr^2h.

We know that the drum includes a capacity of 806 cubic yards, so able to compose:

πr^2h = 806

We need to play down the taken a toll of building the drum, which is given by the entirety of the fetched of the beat, foot, and side divider.

The zone of the beat and foot of the drum is given by: A = πr^2.

The fetched of fabric for the beat and foot is $2 per square yard, so the taken a toll of the best and foot is:

C_topbottom = 2A = 2πr^2

The cost of fabric for the side divider is $17 per square yard, and the region of the side divider is given by:

A_side = 2πrh

The whole fetched of building the drum is in this manner:

C = C_topbottom + C_side = 2πr^2 + 17(2πrh) = 2πr^2 + 34πrh

Presently we are able utilize the condition for the volume of the drum to kill h from the fetched condition:

h = 806/(πr^2)

Substituting this expression for h into the taken a toll condition, we get:

C = 2πr^2 + 34πr(806/(πr^2)) = 2πr^2 + 27404/r

To discover the least fetched, we got to take the subordinate of the fetched condition with regard to r and set it rise to to zero:

dC/dr = 4πr - 27404/r^2 =

Fathoming for r, we get:

r = (27404/(4π))^(1/3) ≈ 10.19 yards

Substituting this esteem of r back into the expression for h, we get:

h = 806/(π(10.19)^2) ≈ 2.46 yards

Hence, the measurements of the round and hollow drum that minimize the fetched of development are roughly:

Span: 10.19 yards

Stature: 2.46 yards

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The image of the transformation are (2, -9), (-9, -7), (-7, -4)

The coordinates of the triangle are given as

(-2, -9), (9, -7), (7, -4)

The transformation is given as

Reflection across the y-axis

This is represented as

(x, y) ⇒ (-x, y)

This means that the transformation is (-x, y)

When this rule is applied on the coordinates, we have

(2, -9), (-9, -7), (-7, -4)

Next, we plot the image of the transformation on a coordinate plane

See attachment for the image of the transformation

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Answer:

According to the rule given, we need to multiply the input by 6 to get the output. Therefore:

- If the input is 0, then the output is 0 x 6 = 0.

- If the input is 2, then the output is 2 x 6 = 12.

- If the input is 7, then the output is 7 x 6 = 42.

Therefore, the input-output table that works for this rule is:

| Input | Output |

|-------|--------|

| 0 | 0 |

| 2 | 12 |

| 7 | 42 |

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

answer in picture in explanation.

Step-by-step explanation:

The point being in the shaded region of the top inequality and not in the shaded region of the bottom Inequality is the condition for a point to be a solution to the system of two inequalities.

Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top inequality but not in the shaded region of the bottom inequality.

To understand this concept, let's consider a system of two inequalities represented graphically on a coordinate plane.

The shaded regions represent the solutions to each inequality. In a system of two inequalities, the solution consists of the overlapping region where both inequalities are satisfied.

When we say that a point lies in the shaded region of the top inequality, it means that the point satisfies the inequality represented by the top region. Similarly, when we say that a point does not lie in the shaded region of the bottom inequality, it means that the point does not satisfy the inequality represented by the bottom region.

Therefore, a point that lies in the shaded region of the top inequality but not in the shaded region of the bottom inequality is a solution to the system of two inequalities. It satisfies the top inequality but does not satisfy the bottom inequality.

On the other hand, if a point lies in the shaded region of the bottom inequality but not in the shaded region of the top inequality, it is not a solution to the system. It does not satisfy the top inequality but satisfies the bottom inequality.

If a point lies in the shaded regions of both the top and bottom inequalities, it is a solution to the system. It satisfies both inequalities simultaneously.

Finally, if a point does not lie in the shaded region of either the top or bottom inequality, it is not a solution to the system. It does not satisfy either inequality.

the point being in the shaded region of the top inequality and not in the shaded region of the bottom inequality is the condition for a point to be a solution to the system of two inequalities.

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Answer:

4:24pm

Step-by-step explanation:

To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.

To do this we can either list all the prime factors of each one and multiply the non-common ones:

6 = 2x3

8 = 2x2x2

2x2x3 = 24

OR we can list the multiples and find the lowest matching ones:

6 => 6, 12, 18, 24, 30

8 => 8, 16, 24, 32, 40

We can see that 24 is the least common factor.

This means that both busses will leave at the same time 24 minutes after 4pm.

Therefore the next time a red line and blue line bus will leave together is 4:24pm.

Hope this helped!

18/12

Simplify by 6 ( divide the numerator and denominator by 6)

18/6 = 3

12/6 = 2

18/12 = 3/2

The amount I will be able to withdraw each month is $2000

Simple interest is an interest charge that

borrowers pay lenders for a loan.

Simple interest is expressed as;

I = p× r × t/100

where p is the principal

r is the rate

t is the time.

I = 300000 × 4 × 25/100

I = 3000 × 4 × 25

I = $300,000

The total amount after 25 years

= 300,000 + 300000

= $600,000.

There are 12 months in a year, then the total months in 25 months is

12 × 25 = 300 months

The withdrawal amount per month = 600000/300

= $2000.

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Answer:

30

Step-by-step explanation:

We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.

There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.

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Calculate total choices for individual then multiply

Total choices

Option C

Considering the contour diagram, fₓ (1, 3) is traced to be 10

A contour line for a function of two variables, more generally speaking, a curve that connects places where the function has the same specific value.

A topographic map, for example, which displays valleys, hills, and the steepness or gentleness of slopes, is an example of a map with contour lines.

The elevation difference between successive contour lines is known as the contour interval in a contour map.

Using the map provided point (1, 3) is traced to the contour line that has the mark of 10

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Answer:

A) true

B) true

C) true

hope that helps :)