put the bracket in the correct place
10-3x4-2+1=5

Answer:

16

Step-by-step explanation:

Answer:

16

Explanation:

2 x 4 = 8

8 x 2 = 16

Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

number one take the second

Answer:

144 inches

Step-by-step explanation:

If they are moving at the same speed and start at the same time, they have to go the same distance

That means they will meet in the middle

If they are 72 inches from the right side that means the middle is 72 inches from the right side

The road is 2 times 72 inches

2*72 = 144

144 inches

We can calculate the interest as the difference between the future and the present value of the investment:

The present value is $4780.

The annual interest rate is r=1.25/100=0.0125.

The number of years is 8, so n=8.

We can calculate the future value as:

Then, we can calculate the interest as:

Answer: D. $499.44

Answer:

the probability is 0.0067

Step-by-step explanation:

The computation of the probability of receiving no e-mails during an hour is shown below;

Let us assume x be the number of emails received during an hour

Now the probability of receiving no e-mails is

= e^-5 × 5^0÷ 0!

= e^-5 × 1  ÷ 1

= e^-5

= 0.00674

= 0.0067

Hence, the probability is 0.0067

Roger and Trish can complete 11/30 of the math homework in 1 hour if they work together.

What is an expression?

An expression is a sentence that has at least two numbers/variables and at least one math operation.

According to the given information:

Let the total amount of work in the math homework is 1.

In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work.

If they work together for 1 hour, then the total amount of homework they can finish is the sum of the parts each of them can finish in one hour:

1/6 + 1/5 = 5/30 + 6/30 = 11/30

So together they can finish 11/30 of the homework in one hour.

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Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

Answer:

Step-by-step explanation:

In this problem, we are expected to tell what number is at the unit position of the square of 572.

firstly, what is the square of 572.

this is gotten as = 572^2

                          =572*572

                          =327184

from the result, the value at the unit position is 4

The unit digit of the square of 572 is 4

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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The statement is always true. When reflected, each point of original figure is mapped to corresponding point on reflection, such that the line connecting each point and its corresponding point is perpendicular to line of reflection.

The adage is always accurate. Each point on the original figure is mapped to a corresponding position on the reflection when a figure is reflected, with the result that the line connecting each point to its corresponding point is perpendicular to the line of reflection. This essential characteristic of reflections can be demonstrated using simple geometry.

Consider a line of reflection and a point P on the original figure to understand why this is the case. Let P' represent P's reflected image. We know that PP' is perpendicular to the line of reflection because the line of reflection is the perpendicular bisector of the line segment connecting P and P'. The resulting segments are all perpendicular to the line of reflection because this is true for every point on the original figure and its corresponding point on the reflection.

This reflection characteristic has numerous practical uses, not just in mathematics. When designing optical components like mirrors and lenses, for instance, where the direction of reflected or refracted light is important, this technique is applied. Furthermore, reflections are frequently utilised in geometric proofs and constructions, where they can make complex issues easier to understand by reducing them to more straightforward, symmetric situations.

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Answer:

option C

Step-by-step explanation:

Given :-

And we need to tell which graph best matches the graph we drew. Firstly let's convert it into a quadratic equation by opening and simplifying the brackets.

\(:\implies\) y = ( x + 2) ( x - 3)

\(:\implies\) y = x ( x - 3)+2( x - 3)

\(:\implies\) y = x² - 3x + 2x -6

\(:\implies\) y = x² - x - 6

Now plot its graph. For that refer to attachment.

Things we can interpret :-

Therefore the correct option is (C) .

Answer:

6.85 × 10⁷

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 68,500,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 68,500,000

New Number: 6.8500000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:6.8500000Decimal Count:1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.85 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

6.85 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.85 = 68,500,000

The number 68,500,000 can be written in scientific notation as 6.85×10⁷.

Scientific notations is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given number 68,500,000 can be written in the scientific notation as,

68,500,000

= 6.85 × 10,000,000

= 6.85 × 10⁷

Hence, the number 68,500,000 can be written in scientific notation as 6.85×10⁷.

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Midpoint of the line segment from (1,-3) to(-5,2) is (-2,-1/2).

A straight line is just a line with no curves. So, a line that extends to both sides to infinity and has no curves is called a straight line.

The midpoint of a line segment is a point that lies exactly halfway between two points

The formula for midpoint (x,y)=(x₁+x₂/2,y₁+y₂/2)

We need to find midpoint of the line segment from (1,-3) to(-5,2)

Midpoint=(1-5/2,-3+2/2)

=(-4/2, -1/2)

=(-2,-1/2)

Hence, midpoint of the line segment from (1,-3) to(-5,2) is (-2,-1/2).

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Answer:

20% were MC

Step-by-step explanation:

Divide number of Mariah Carey songs by total songs.

Total songs = 16 + 4 = 20

4/20 = 0.2

Multiply by 100 to get percent:

0.2 x 100 = 20%

The answer is 20%

The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

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Answer:

Step-by-step explanation:

$499.99 - 15% will give your answers

Answer:

424.99

Step-by-step explanation:

Given information: $\sf\:\csc(x) = 8$, $90° < x < 180° \\$

To find $\sf\:\sin(\frac{x}{2}) \\$, $\sf\:\cos(\frac{x}{2}) \\$, and $\sf\:\tan(\frac{x}{2}) \\$:

Step 1: Rewrite the given information:

$\sf\:\csc(x) = \frac{1}{\sin(x)} = 8 \\$

Step 2: Solve for $\sf\:\sin(x) \\$:

$\sf\:\sin(x) = \frac{1}{8} \\$

Step 3: Use the half-angle identity for $\sf\:\sin(\frac{x}{2}) \\$:

$\sf\:\sin(\frac{x}{2}) = \pm \sqrt{\frac{1 - \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the positive square root:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

Step 4: Find $\sf\:\cos(x)$ using the Pythagorean identity:

$\sf\:\sin^2(x) + \cos^2(x) = 1 \\$

Substituting $\sf\:\sin(x) = \frac{1}{8} \\$:

$\sf\:(\frac{1}{8})^2 + \cos^2(x) = 1 \\$

$\sf\:\frac{1}{64} + \cos^2(x) = 1 \\$

$\sf\:\cos^2(x) = 1 - \frac{1}{64} \\$

$\sf\:\cos^2(x) = \frac{63}{64} \\$

Taking the square root of both sides:

$\sf\:\cos(x) = \pm \sqrt{\frac{63}{64}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(x) = -\sqrt{\frac{63}{64}} \\$

Step 5: Use the half-angle identity for $\sf\:\cos(\frac{x}{2})$:

$\sf\:\cos(\frac{x}{2}) = \pm \sqrt{\frac{1 + \cos(x)}{2}} \\$

Since $\sf\:90° < x < 180°$, $\sf\:\cos(x)$ will be negative, so we take the negative square root:

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

Step 6: Find $\sf\:\tan(\frac{x}{2}) \\$ using the identity $\sf\:\tan(\frac{x}{2}) = \frac{\sin(\frac{x}{2})}{\cos(\frac{x}{2})} \\$:

$\sf\:\tan(\frac{x}{2}) = \frac{\sqrt{\frac{1 - \cos(x)}{2}}}{-\sqrt{\frac{1 + \cos(x)}{2}}} \\$

Simplifying:

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Therefore, the values are:

$\sf\:\sin(\frac{x}{2}) = \sqrt{\frac{1 - \cos(x)}{2}} \\$

$\sf\:\cos(\frac{x}{2}) = -\sqrt{\frac{1 + \cos(x)}{2}} \\$

$\sf\:\tan(\frac{x}{2}) = -\sqrt{\frac{1 - \cos(x)}{1 + \cos(x)}} \\$

Please note that the sign of the values may change depending on the actual value of $\sf\:\cos(x)$, which is negative in this case.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Check the picture below.

Answer:

Step-by-step explanation:

The angle marked x° is an inscribed angle that subtends an arc shown as 70°. The inscribed angle is half the measure of the arc:

  x° = 70°/2

  x° = 35°

__

The angles marked x° and y° are the acute angles of a right triangle, so are complementary.

  y° = 90° -x° = 90° -35°

  y° = 55°

Answer:

0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 48.3 ppm and a standard deviation of 8 ppm.

This means that \(\mu = 48.3, \sigma = 8\)

Sample of 40:

This means that \(n = 40, s = \frac{8}{\sqrt{40}}\)

Find the probability that the disposal of such capacitors will be regulated.

Sample mean above 48.5, which is 1 subtracted by the p-value of Z when X = 48.5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{48.5 - 48.3}{\frac{8}{\sqrt{40}}}\)

\(Z = 0.16\)

\(Z = 0.16\) has a p-value of 0.5636.

1 - 0.5636 = 0.4364

0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.

Answer:

15.20

Step-by-step explanation:

Answer:$2346

Step-by-step explanation: Assuming that the students' numbers start at 1, we have 1+2+3+4.....+65+66+67+68 as the total amount of money raised. We can see that 1+68 = 69 and 2+67 also equals 69. So, we can use this method to figure out how many 69s are in the sum. Since 68 divided by 2 is 34, there are 34 69s in the sum. 34x69 = 2346.

Solution

We have the following equation given:

12+5x -7= 13x -4-8x

We can do the following:

12-7 +4 = 13x -8x -5x

And if we simplify we got:

9= 0x

Then the best answer would be:

There is no solution because 5 = -4 is a false equation

Answer:

Step-by-step explanation:

Combine like terms

\(6y + 3 + 3x^{2} - y^{2} - 5x + 2x^{2} + 3x + 2y\)

8y + 3 + 5\(x^{2}\) + 2x - \(y^{2}\)

The required simplified value of the given expression is given as 5x² - y² -2x + 8y + 3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= 6y+3+ 3x² - y² – 5x + 2x² + 3x + 2y

Simplify, by adding alike terms,
= 5x² - y² -2x + 8y + 3

Thus, the required simplified value of the given expression is given as 5x² - y² -2x + 8y + 3.

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Answer:

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }\)

Step-by-step explanation:

Given

\(\frac{ \sqrt{40} }{ \sqrt{3} }\)

Required

Simplify

\(\frac{ \sqrt{40} }{ \sqrt{3} }\)

Rationalize:

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }\)

Expand the numerator

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }\)

\(\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }\)

a. Plan A is better on the short run, as it represents linear growth.

b. Plan B is better on the long run, as it represents exponential growth.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant, and assumes higher values on the long run.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant, and compared to an exponential function, it assumes higher values on the short run.

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If x = -2 is a zero with a multiplicity of one, x = 3 is a zero with a multiplicity of two, and x = 1 is a zero with a multiplicity of one, then the polynomial can be written in factored form as:

\(f(x) = (x + 2)(x - 3)^2(x - 1)\)

To find the polynomial in expanded form, we can use the distributive property and the rules of exponents:

\(f(x) = (x + 2)(x - 3)(x - 3)(x - 1)\\= (x^2 - x - 6)(x - 3)(x - 1)\\= (x^3 - 4x^2 + 3x + 18)(x - 1)\\= x^4 - 5x^3 + 6x^2 + 4x + 18\)

Therefore, the polynomial that has a lead coefficient of one and exactly three distinct zeros, with x = -2 as a zero with multiplicity of one, x = 3 as a zero with multiplicity of two, and x = 1 as a zero with multiplicity of one, is:

\(f(x) = x^4 - 5x^3 + 6x^2 + 4x + 18\)

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