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We are given the expression:

√-3 * √-27

__________________________________________________________

Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

__________________________________________________________

Simplifying the expression:

√-3 * √-27

√(-1*3) * √[(-1)*(3)(3)(3)]

√-1 * √3 * √-1 * √3 * √3 * √3

(√-1 * √-1) * (√3 * √3 * √3 * √3)

(√-1)² * (√3)² * (√3)²

-1 * 3 * 3

-9

Hence, after simplifying the given expression, we get -9

Answer:

Option 3.

Step-by-step explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

\(n(B)=28+68=96\)

\(n(S)=82+68=150\)

\(n(T)=28+68+82+52=230\)

\(n(B\cap S)=68\)

Using this information, we get

\(P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42\)

\(P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65\)

\(P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71\)

\(P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45\)

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.

Answer:

24

Step-by-step explanation:

the lengths are in proportion to one another, between triangles.

(x - 4)/12  =  5/(x +7)

(x - 4)(x + 7) = 5 X 12

x² + 7x - 4x - 28 = 60

x² + 3x - 28 = 60

x² + 3x - 88 = 0.

(x + 11) (x - 8) = 0

x = -11, 8.

x cannot be -11 since both x +7 and x - 4 would be negative lengths!!

so x = 8.

AB = 12, DE = x - 4 = 8 -4 = 4. 12/4 = 3.

the lengths of triangle ABC are 3 times longer than the lengths of DEF.

we can confirm this: AC = x + 7 = 8 + 7 = 15. DF = 5

AC is 15/5 = 3 times longer than DF.

so we expect BC to be 3 times longer than x. x = 8.

so BC = 3 X 8 = 24.

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

6-8x=-3x+11

-8x+3x=11-6

-5x=5

x=-1

The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.

Answer:

hi

Step-by-step explanation:

hi i am a gamergirl add me in fortnite xxgamergilxx93_qt

The expression of the given statement is  \(\frac{2x}{5}\) .

What is algebraic expression?

  When terms are combined using operations like addition, subtraction, multiplication, division, etc., the result is an algebraic expression (or variable expression). Let's look at the formula 5x + 7 as an illustration. Consequently, we can state that 5x + 7 is an illustration of an algebraic statement. Here are some more examples: 5x + 4y + 10

Here the given product of two and a number. Lets us take number as x. Then ,

=> 2*x= 2x

Product of two and a number divided by 5. Then,

=> \(\frac{2x}{5}\)

Hence the algebraic expression of the given statement is  \(\frac{2x}{5}\) .

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

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

Answer:

16 points.

Step-by-step explanation:

24*2/3 = 16.

Hope this helped!

*Sorry if I'm wrong, though I think I'm correct.*

Enjoy the rest of your day.

Answer:16

Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.

Answer:

Is just a letter identifying the angle.

Since,Angles of a triangle sum up to 180 ,u add both the given numbers and subtract it from 180

Answer:

i think it should be no solution

Answer:

X=5/2

Step-by-step explanation:

Multiply both sides by 12 since it is the lcm

\( 4 \times 2x - 6x = 5 \\ 2x = 5 \\ x = \frac{5}{2} \)

Answer:

66-18b or maybe 11/3

Step-by-step explanation:

-6+9(8-2b)

-6+72-18b

72-6=66

66-18b

Answer:

2

Step-by-step explanation:

44 = 2² × 11

40 = 2³ × 5

50 = 2 × 5²

GCF = product of common factors with lower exponent

GCF = 2

The greatest common factor of 44, 40, and 50 will be;

⇒ 2

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called Greatest common factors.

Given that;

The numbers are,

⇒ 44, 40 and 50.

Now,

The factors are find as;

⇒ 44 = 2 × 2 × 11

⇒ 40 = 2 × 2 × 2 × 5

⇒ 50 = 2 × 5 × 5

Hence, The greatest common factor of 44, 40, and 50 will be;

⇒ 2

Thus, The greatest common factor of 44, 40, and 50 will be;

⇒ 2

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Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

8 hours

Step-by-step explanation:

9 kg dough...........................3 hours

24 kg dough.........................?

9/3=24/x

x=(24*3)/9=8

Answer:

86°

Step-by-step explanation:

try suggested solution (see the attached picture), note, the suggested way is not the shourtest one.

Answer:

15 degrees for the first one

90 degrees for the second one

Step-by-step explanation:

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

Answer:

\(t = 3.673900\)

Step-by-step explanation:

Given

\(df = 28\) -- degree of freedom

\(Area = 0.005\)

Required

Determine the t-value

The given parameters can be illustrated as follows:

\(P(T > t) = \alpha\)

Where

\(\alpha = 0.005\)

So, we have:

\(P(T>t) = 0.005\)

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and \(\alpha = 0.005\) is 3.673900

Hence, \(t = 3.673900\)

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

Answer

=sin (u -v)

Step-by-step explanation:

sin ( u-v):     sin(u-v)

Solution

For this case we have the following values:

50, 55, 56, 57

68, 69, 73, 74,

74, 75, 76, 76,

78, 79, 82, 84

Then we can find the mean like this:

And then since we have 16 values we can find the medain with the following operation:

Median = (74+74)/2 = 74

Then the correct answer is:

b) Median = 74 and Mean = 70.38

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

see below

Step-by-step explanation:

The experimental probability was 7/20 since she got a 6 7 out of 20 times

Multiply by the number of rolls

7/20 * 100

7* 100/20

7 *5

35

She should get a 6 around 35 times

A 45°-45°-90° triangle is a special right triangle where the two legs are congruent and the hypotenuse is √2 times the length of the legs.

Let's say that the length of one leg is "x". Because the two legs are congruent, the length of the other leg is also "x".

Using the Pythagorean theorem, we can find the length of the hypotenuse:

c² = a² + b²

c² = x² + x²

c² = 2x²

c = √(2x²) = x√2

Therefore, the length of the hypotenuse is x√2.

To find the missing sides of the triangle, we need to know one side length. If we are given the length of the hypotenuse or one of the legs, we can easily find the other sides.

For example, if we are given the length of one leg as 5 cm, we can find the lengths of the other sides as follows:

Legs = 5 cm

Hypotenuse = legs * √2 = 5 cm * √2 ≈ 7.071 cm

Therefore, the missing sides of the 45°-45°-90° triangle with one leg equal to 5 cm are approximately 5 cm and 7.071 cm.

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Answer:

369278

Step-by-step explanation:

add 2030 to the original number

Step-by-step explanation:

John's number is 367,248. To add 2 thousands and 3 tens to this number, we need to add 2,000 and 30 to it:

367,248 + 2,000 + 3*(10) = 369,278

Therefore, Kara's number is 369,278

Answer:

2

Step-by-step explanation:

2x3-4 we substitute f to be 3

6-4

2

Answer:

choice c : c<-4

Step-by-step explanation:

the word less than means <