Sunil deposited $400 in an
account. After one and a half
years he withdrew his money and
had earned $78 in interest. What
is the simple interest rate on the
account?
3

The value of x in the equations are:

1. x = -3/5

2. x = -1

3. x = 5

Given the equations above, to solve for x, isolate x as the variable in the equation to one side of the equation.

a. 4(5x+6) = 12

Apply the distributive property

20x + 24 = 12

20x = 12 - 24

20x = -12

x = -12/20

x = -3/5

b. -3(2x - 4) = 18

Apply the distributive property

-6x + 12 = 18

-6x + 12 - 12 = 18 - 12

-6x = 6

x = 6/-6

x = -1

c. 26 = 2(3x - 2)

Apply the distributive property

26 = 6x - 4

26 + 4 = 6x

30 = 6x

5 = x

x = 5

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All the numbers have been analyzed for being rational and irrational .

For -1 :

It is a rational number = R

It is an integer = I

For 2 / 3:

It is a rational number = R

For - 4.8 :

It is a rational number = R

For 7:

It is a rational number = R

It is an integer = I

It is an whole number = W

It is a natural number = N

For - 32 / 95

It is a rational number = R

For - 20 / 4 = -5:

It is a rational number = R

It is an integer = I

For 0:

It is a rational number = R

It is an integer = I

It is an whole number = W

For - 7.34:

It is a rational number = R

For 7 / 1239:

It is a irrational number = I

For √5:

It is a irrational number = I

Therefore, all the numbers have been analyzed for being rational and irrational .

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The result of the given expression f(x) + f(x) + f(x) = 3x².

A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero.

As per the given question;

f(x) = x²

Now, we have to estimate the value of the function;

= f(x) + f(x) + f(x)

Substitute the value of f(x).

= x² + x² + x²

= 3x²

Thus, the value of the given function is found as 3x².

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x = 3 , y = −4 , and z = −6

z-2xy =

Substitute the value of x,y and z in the expression.

-6-2(3)(-4)

-6-2(-12)

-6+24

18

The value of x will be -45 by the multiplicative property for the given expression x/3=-15.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is x/3=-15. The value of x will be calculated as below:-

x/3=-15.

x = -15 x 3

x = -45

Therefore, the value of x will be -45 by the multiplicative property.

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Answer:

00

Step-by-step explanation:

The geometric term modeled by the given object (a telephone pole) is a line

The given object is a telephone pole

The pole of a telephone pole is often straight.

This means that the telephone pole can be modelled by a line segment

Hence, the geometric term modeled by the given object (a telephone pole) is a line

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The number of laps that Kevin can run is 5 laps.

From the information, Kevin can run a lap around the field in 4-6 minutes and he has 30 minutes to run.

Therefore, the number of laps that he can run will be:

= Total minutes / Time taken for each lap

= 30 minutes / 6

= 5 laps.

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By applying the criterion of the law of cosine, the triangle presented in the picture is possible.

Herein we find an hypothetical triangles with all side lengths known.  A criterion is using the law of cosine, a possible triangle has cosine values between - 1 and 1. Then, we proceed to check for each side:

cos A = - (a² - b² - c²) / (2 · b · c)

cos A = - (25² - 2² - 24²) / (2 · 2 · 24)

cos A = - 0.469

cos B = - (b² - a² - c²) / (2 · a · c)

cos B = - (2² - 25² - 24²) / (2 · 25 · 24)

cos B = 0.998

cos C = - (c² - a² - b²) / (2 · a · b)

cos C = - (24² - 25² - 2²) / (2 · 25 · 2)

cos C = 0.53

Since the law of cosine gives realistic results, then the triangle presented in the picture is possible.

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The percent of the first change is greater by 2.36%.

Time in 1st week = 28.8 sec

Time in 2nd week = 27.6 sec

Time in 3rd week = 27.1 sec

∴ Change of time from week 1 to week 2 = (28.8 - 27.6) sec

                                                                    = 1.2 sec

∴ Percent of change from week 1 to week 2 = [tex]\frac{time change}{1st week time} \times 100[/tex] %

                                                                         = [tex]\frac{1.2}{28.8} \times 100[/tex] %

                                                                         = 4.17%

∴ Change of time from week 2 to week 3 = (27.6 - 27.1) sec

                                                                     = 0.5 sec

∴ Percent of change from week 2 to week 3 = [tex]\frac{Time change}{2nd week time} \times 100[/tex] %

                                                                          = [tex]\frac{0.5}{27.6} \times 100[/tex] %

                                                                          = 1.81%

∴ The greater change was in the first week. The amount by which it was greater is = (4.17 - 1.81) %

                = 2.36%

Answer) The percent of the first change is greater by 2.36%.

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Answer  w a s t e f u l

Step-by-step explanation:

theres 7 words on it

The sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

It should be noted that transformation simply means the movement of an object from a position to another position.

In this case, the sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is to shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

Therefore sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

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We have to plot the square roots of the numbers 70, 85, 99, and 112  between 64 and 125 ( d )

First, we must evaluate the square root of given numbers.

√70 = √ ( 2 × 5 ×7 ) = 8.36

√85 = √ ( 5 × 17 ) = 9.22

√99 = √( 9 × 11 ) = 3√11 = 9.95

√112 = √( 4 × 4 × 7 ) = 4 √7  = 10.58

All these numbers ( 8.36, 9.22, 9.95 , 10.58 )  belong between, square roots of √64 and √125 which are 8 and 15. So we have to put these numbers in between the square roots of 64 and 125 on the number table.

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Hello,

[tex] - a + 4c = - 7 + 4 \times ( - 3) = - 7 - 12 =- 19[/tex]

Answer:

-19

Step-by-step explanation:

-7 + 4(-3)

-7 - 12= -19

The ratios are shown equivalent as by simplification done below.

Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -

First column -

Ratio = 6:2

Dividing both the parts of ratio by 2

Ratio = 3:1

Second column -

Ratio = 9:3

Dividing both the parts of ratio by 3

Ratio = 3:1

Third column -

Ratio = 12:4

Dividing both the parts of ratio by 4

Ratio = 3:1

Fourth column -

Ratio = 15:5

Dividing both the parts of ratio by 5

Ratio = 3:1  

Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.

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(7,-4) is not a solution of the inequality y ≥ 5 - x

The inequality expression is given as

y ≥ 5 - x

The solution is given as:

(7, -4)

This means that

(x, y) = (7, -4)

Substitute (x, y) = (7, -4) in the inequality y ≥ 5 - x

So, we have

-4 ≥ 5 - 7

Evaluate the difference

-4 ≥  -2

On the numbering system, -4 is less than  -2

Hence, (7,-4) is not a solution of the inequality y ≥ 5 - x

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Answer:

135 minutes

Step-by-step explanation:

18 divided by 4

4.5 pages per minute

4.5 times 30 = 135

Answer: 135 minutes

Step-by-step explanation: 18 times 30, then divide by 4

Answer:

Step-by-step explanation: 4.242

The difference of time taken by Rosa and Maya to ran the hurdles is 4.242 seconds .

The correct option is B .

Given, time taken by Rosa and Maya to ran the hurdles.

Time taken by Rosa to ran the hurdle = 58.32 seconds .

Time taken by Maya to ran the hurdle = 54.078 seconds .

Difference between the time taken:

Rosa is taking more time to cover the distance than Maya . Thus the speed of Rosa is less than the speed of Maya .

Relationship between speed, time and distance.

Distance = Speed × Time

Subtract time taken by Rosa to ran the hurdle from time taken by Maya to ran the hurdle.

= 58.32 - 54.078

= 4.242 seconds

Therefore the correct option is B .

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Answer

70.000 в  10 раз больше 7.000

Step-by-step explanation:

Answer:

25,000,000 = 2.5 × 10^7

The ^ is raised to the power.

Hope this helps :)

Step-by-step explanation:

2.5 × 10^7 = 25,000,000

(a) According to the question, a composer wrote [tex]10[/tex] symphonies, [tex]4[/tex] piano concerts (piano and orchestra) and [tex]35[/tex] piano sonatas (solo piano):

Here, determine how many ways are there to play first a symphony and then piano concerto.

So, the probability is [tex](10P1) (4P1) = (10)(4)= 40[/tex]

Therefore, there are [tex]40[/tex] ways to play first a symphony and then piano concerto.  

(b)The manager of a radio station decides that on each successive evening, a symphony will be played followed by a piano concerto followed by a sonata.

Here determine how many nights could be carried out before the same program would get repeated.

So, the probability would be [tex](35)(10)(4)=1440[/tex]

Therefore, [tex]1440[/tex] nights are carried out before the same program gets repeated.

Now, to calculate the years:  [tex]\frac{1440 nights}{365days} = 3.95 years[/tex]

Therefore, it would be [tex]3.95[/tex] years.

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. For example, to calculate the probability of a playing card which is 52 in numbers. And it is divided into four cards and each are in the count of 13.These four cards are heart, spades, diamond and club.

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The domain of the function f(2x) is (-1, 1).

Given that a function f has domain (-2,2) and range (-3,5).

We need to determine the domain of the function f(2x).

To determine the domain of the function f(2x), we need to consider how the original domain (-2,2) is affected by the transformation of multiplying the input by 2.

When we multiply x by 2, it stretches or compresses the function horizontally.

In this case, multiplying by 2 will stretch the original domain by a factor of 1/2.

To find the new domain, we divide the original domain endpoints by 2:

New domain = (-2/2, 2/2) = (-1, 1)

Therefore, the domain of the function f(2x) is (-1, 1).

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The value of the given expression (5 x − 2 y) = 12.

The substitution technique is an algebraic approach for solving simultaneous linear equations. In this procedure, the value of one variable through one equation is substituted in the second equation, as the name implies.

Three phases are involved in the substitution method: Solve one equation for one of the variables. Substitute (plug-in) this expression in the other equation as well as solve. Replace the value in the original equation to obtain the equivalent variable.

5 x − 2 y

x = 2;

y = -1;

substituting the value in the given equation:

5 x − 2 y

5(2) - 2(-1)

5(2) - (-2)

5(2) +2

10+2

12

The value of the given expression (5 x − 2 y) = 12

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Answer: where is the graph?

The absolute value equation is:

|M - 430g| = 20g

And the solutions are M = 410g and M = 450g

b) No, the mass is not acceptable.

We know that the recomended mass is 0.43kg, with an accepted error of 20 grams.

Where:

0.43kg = 0.43*1000g = 430g

Then the minimum mass accepted is: 430g - 20g = 410g

The maximum mass accepted is: 430g + 20g = 450g

These are the solutions, and the absolute value equation is, if M is the mass:

|M - 430g| = 20g

b) If the ball has a mass of 423g it is in the accepted range, if now it loses 0.016kg:

0.016kg = 0.016*1000g = 16g

The new mass is:

423g - 16g = 407g

This is smaller than the minimum accepted mass, then this mass is not acceptable.

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From today 36 days later, all five will be tutoring again.

As we have given that,

Andrea is able to tutor every second school day

Roberto is able to tutor every third school day.

Charlene is able to tutor every fourth school day.

Maria is able to tutor every sixth school day.

Nguyen is able to tutor every ninth school day.

So, as a result, our working days are 2, 3, 4, 6, and 9 days.

Today's tutoring session will involve all five participants.

Next time, all five tutors will work together = LCM (2, 3, 4, 6, 9) = 36

Therefore, from today 36 days later, all five will be tutoring again.

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Answer:

the answer is 3a+2b+5.

I hope this will help

Applying the square root of the variance, the standard deviation of the distribution is of 13.964.

The standard deviation of a distribution is given by the square root of the variance of the distribution.

For this problem, the variance of the distribution is of 195, hence the standard deviation is:

s = sqrt(195) = 13.964.

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Answer:

The answer is C. 7/4 :)