Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answer:

Its 15 because 3 times 5 = 15.

Step-by-step explanation:

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

The fully simplified expression is 54\(\sqrt{2}\) - 2\(\sqrt{3}\).

The correct answer is option E.

Given expression: \(\sqrt{6}\) * 2\(\sqrt{3}\) * \(\sqrt{27}\) - \(\sqrt{12}\)

Simplify  \(\sqrt{27}\) to get 3\(\sqrt{3}\):

\(\sqrt{6}\)* 2\(\sqrt{3}\) * 3\(\sqrt{3}\)- \(\sqrt{12}\)

Simplify \(\sqrt{6}\)* 2\(\sqrt{3}\) to get 2\(\sqrt{18}\):

2\(\sqrt{18}\) * 3\(\sqrt{3}\)- \(\sqrt{12}\)

Simplify sqrt(18) to get (\(\sqrt{9 * 2}\)):

2(\(\sqrt{9 * 2}\)):* 3\(\sqrt{3}\) - \(\sqrt{12}\)

Further simplify (\(\sqrt{9 * 2}\)):to get 3\(\sqrt{2}\):

2 * 3\(\sqrt{2}\) * 3\(\sqrt{3}\) - \(\sqrt{12}\)

Simplify 2 * 3\(\sqrt{2}\) to get 6\(\sqrt{2}\):

6\(\sqrt{2}\) * 3\(\sqrt{3}\)- \(\sqrt{12}\)

Simplify \(\sqrt{12}\) to get 2\(\sqrt{3}\):

6\(\sqrt{2}\) * 3\(\sqrt{3}\)- 2\(\sqrt{3}\)

Distribute and multiply:

18\(\sqrt{6}\) \(\sqrt{3}\) - 2\(\sqrt{3}\)

Simplify \(\sqrt{6}\) \(\sqrt{3}\) to get \(\sqrt{18}\):

18\(\sqrt{18}\) - 2\(\sqrt{3}\)

Simplify \(\sqrt{18}\) to get 3\(\sqrt{2}\):

18 * 3\(\sqrt{2}\) - 2\(\sqrt{3}\)

Multiply and combine like terms:

54\(\sqrt{2}\) - 2\(\sqrt{3}\)

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The question probable may be:

Which choice is equivalent to the expression below?

\(\sqrt{6}\) * 2\(\sqrt{3}\) *\(\sqrt{27}\)- \(\sqrt{12}\)

A. 3\(\sqrt{3}\)+ \(\sqrt{6}\)

B. 5\(\sqrt{3}\)

C. 5\(\sqrt{3}\) - 6

D. 2\(\sqrt{3}\)- \(\sqrt{21}\)

E. none of them

Answer:

\(F = 27\frac{2}{3}\)

\(S = 24\frac{2}{3}\)

\(T = 31\frac{2}{3}\)

Step-by-step explanation:

Represent the first piece with F, the second with S and the third with T.

So:

\(S = F - 3\)

\(T =4+ F\)

\(S + T + F = 84\)

Required

Find the length of each piece

Substitute \(S = F - 3\) and \(T =4+ F\) in \(S + T + F = 84\)

\(F - 3 + 4 + F + F = 84\)

Collect like terms

\(3F = 84 + 3 - 4\)

\(3F = 83\)

Divide through by 3

\(F = \frac{83}{3}\)

\(F = 27\frac{2}{3}\)

Substitute \(F = 27\frac{2}{3}\) in \(S = F - 3\) and \(T =4+ F\)

\(S = F - 3\)

\(S = 27\frac{2}{3} - 3\)

\(S = 24\frac{2}{3}\)

\(T =4+ F\)

\(T = 4 + 27\frac{2}{3}\)

\(T = 31\frac{2}{3}\)

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

50%

Step-by-step explanation:

There are 3 odd numbers out of 6 total numbers.

5, 7, and 9 are odd numbers.

3/6 = 1/2

1/2 as a percent is 50%.

50 % is the answer

coz the odd is exactly half of total no of element's

The proportion of values of x greater than 10 is 1.6438.

Decimals are numbers that have a whole number portion and a fractional portion separated by a decimal point.

A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point.

The expression ∼(-2.8, 7.3) gives the mean and standard deviation of X

Mean, μ = -2.8

Standard deviation, σ = 7.3

Using the normal distribution :

The proportion of values of X is given as :

z = (x - μ) / σ

P(Z < z) = P(Z < (x - μ) / σ)

For X > 10

P(Z > (10 - -2) / 7.3)

simplifying the above equation, we get

P(Z > 12/7.3)

= 1.6438

Therefore, the proportion of values of x greater than 10 is 1.6438.

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The percentage of x values ​​greater than 10 is 1 - F(10) = 1 - 0.9949 = 0.0051. 

To find the proportion of values ​​in x greater than 10, we need to find the cumulative distribution function (CDF) of the normal distribution with mean -2.8 and standard deviation 7.3 and evaluate it at x. = 10.

The CDF of a normal distribution with mean μ and standard deviation σ is given by

F(x) = 1/2 * [1 + erf((x - μ) / (σ * √2))]

where erf(z) is the error function.

Plugging in the given values ​​gives:

F(10) = 1/2 * [1 + requirement ((10 - (-2.8)) / (7.3 * √2))]

Using a calculator or software, we can evaluate the CDF at x = 10 and find F(10) = 0.9949.

Therefore, the percentage of x values ​​greater than 10 is 1 - F(10) = 1 - 0.9949 = 0.0051. 
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Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,

So,

4x2x5 = 40

So, in another method,

Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,

8x5 = 40

Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

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The question is incomplete solved for:

Find the another method to solve 4x2x5

I need help with this please graphing is too complicated. If anyone can help I would be very happ.

Sometimes true. Take for example the trinomial \(x^2+2x-3,\) which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial \(x+2.\)

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

a. g(0)= 1

b. f(-2)= 0

d. g(x-2)= 5x-9

Step-by-step explanation:

a. g(x)=5x+1  *substitute 0 for x*

g(0)= 5(0)+1

g(0)= 1

b. f(-2)= \((-2)^2-4\)   *substitute -2 for x*

f(-2)= 4-4 =0

c. g(x-2)= 5(x-2)+1 *substitute x-2 for x*

 g(x-2)= 5x-10+1    *distributive property*

g(x-2)=5x-9          *simplify*

Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

Please mark me brainliest ♥️

Answer:

line graph

Step-by-step explanation:

edge 2022

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

a and d

Step-by-step explanation:

Answer:

don't believe the other guy he is a scaming bot don't click the link

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

x child tickets, y adult tickets

6.40x+9.50y=1260.70

x+y=150

64x+95y=12607

x+y=150

If you solve this, you have to get x=53, y= 97.

So 53 child tickets and 97 adult tickets

Answer:

20 + 35x

Step-by-step explanation:

We have the expression 5(4 + 7x) and are asked to distrbute it.

When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.

Therefore :

(5(4) + 5(7x))

20 + 35x

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that \(p = 0.18\)

You randomly select 15 students

This means that \(n = 15\)

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

\(P(X \geq 3) = 1 - P(X < 3)\)

In which

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051\)

\(P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678\)

\(P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578\)

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766\)

\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234\)

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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Answer:

Let the number of boys and number of girls be 2x and 3x respectively.

Then,

According to question,

Number of girls = 18

or, 3x = 18

or, x = 6

Number of boys = 2x = 12

Therefore, the total number of boys is 12

The relations and tables that represent a function include the following:

A. {(5, 1), (2, 2), (6, 6), (3, 4), (1, 1)}.

B. x  7 3 0 5 1

   y  3 5 5 3 0

C. {(5, 1), (−5, 2), (2, 6), (6, 4), (-2, 1)}.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).

In this context, the given relation {(5, 1), (2, 2), (2, 6), (2, 4), (1, 1)} is not considered as a function because it has the same input variable (domain) that is mapped to different output variable (range) i.e (2, 2) and (2, 6).

Additionally, the given relation {3, 5, 9, 7, 7} would be classified as a set and not a function.

In conclusion, the table shown below does not represent a function because the same input variable (domain) that is mapped to different output variable (range) i.e (2, 3) and (2, 2).

x 2 3 2 5 1

y 3 8 2 5 0

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Answer:

W = 4

Step-by-step explanation:

4/6 = 6/9

2/3 = 2/3  

You have written ten.

If it means tens then your answer is:

80

If it means tenths then your answer is:

75.7

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

We know the value has to be less than 0 since the answer is negative.

We also know that the value has to be greater than -13.

Now we can try the values -1 through -12

Just try each number and remember to add 11 to each value.

After doing this, you should have noticed that the number -4 had given the correct number. This means the answer is -4

Answer:

5/ 6/8 < 4/ 3/8, is less than

Step-by-step explanation:

6/8=.75

5/.75=6.6

3/8=.38

4/.38=10.5