Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81

Answer:

2.6

Step-by-step explanation:

The standard deviation of the sampled containers' contents is 0.36

Mean = summation of data / number

μ = 204.72 / 10

μ = 20.472

σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)² + (x₆ - μ)² + (x₇ - μ)² + (x₈ - μ)² + (x₉ - μ)² + (x₁₀ - μ)²] / n]

σ = √[[(20.72 - 20.472)² + (20.6 - 20.472)² + (20.71 - 20.472)² + (20.92 - 20.472)² + (19.79 - 20.472)² + (20.93 - 20.472)² + (20.09 - 20.472)² + (20.27 - 20.472)² + (20.49 - 20.472)² + (20.2 - 20.472)²] / 10]

σ = 0.36

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Answer:

9

Step-by-step explanation:

We can just count from -3 to -12 and get 9 as the distance

The probability that four of the five digits are the same is 0.036.

There are 10,000 (10*10*10*10) possible sequences. There are 4C3 ways, 4, of having exactly three digits be the same value. The differing digit can be any of the four positions. There are 10P2 ways, 90 (10*9), to choose the digits of the sequence since we have 10 choices for the digit to be repeated, then 9 more options or the differing digit. The product of the combination arrangements and permutation selection, 4*90, shows there are 360 sequences with three of the same digit. Thus the probability is 360/10,000 or 0.036 or 3.6%.

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Answer:

can you explain more i dont get what u mean if you mean 2,000 a year and you get 2.50% or 5.00% and you get it for 50 years your answer for each would be 50 and 100

Answer: [tex]3\sqrt{21}+7\sqrt{2}-6[/tex]

Step-by-step explanation:

[tex](\sqrt{14}-\sqrt{3})(\sqrt{12}+\sqrt{7})\\\\=(\sqrt{2}\sqrt{7}-\sqrt{3})(2\sqrt{3}+\sqrt{7})\\\\=4\sqrt{21}+7\sqrt{2}-6-\sqrt{21}\\\\=\boxed{3\sqrt{21}+7\sqrt{2}-6}[/tex]

The product on the equation is A = 2√42 - 6 + 7√2 - √21

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( √14 - √3 ) ( √12 + √7 )

On simplifying , we get

A = √14 ( √12 ) - √3 ( √12 ) + √14 ( √7 ) - √3 ( √7 )

A = √168 - √36 + √98 - √21

On further simplification , we get

A = 2√42 - 6 + 7√2 - √21

Therefore , the value of A is 2√42 - 6 + 7√2 - √21

Hence , the product is A = 2√42 - 6 + 7√2 - √21

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The equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

y –12 = –3(x – 1)

We can write the above equation as follows:

y = 12 - 3(x - 1)

y = 12 - 3x + 3

y = -3x + 15

or

f(x) = -3x + 15

Plug x = 0

f(0) = 15

The tub started with 15 gallons of water.

Thus, the equation in the function form is f(x) = -3x + 15 and the tub started with 15 gallons of water.

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The true statement about this function is that: B. the function is negative for all real values of x, where x < -3 and where x > 1.

A function is a mathematical expression which can be used to define and indicate the relationship existing between two or more variables in a data set.

By critically observing the graph which models the given function (see attachment), we can logically deduce that the true statement about this function is that it's negative for all real values of x, where x is less than -3 and where x is greater than 1.

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Answer:

A

Step-by-step explanation:

Comment

The first one. Such an expression requires an isolation plus or minus sign and two terms that are not alike.

Answer

A

Answer:

6x+4

Step-by-step explanation:

A term can be a constant(like 7,4,3 etc) or a variable (x,y etc) which is separated by a multiplication, division,addition or subtraction sign.

The factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

The polynomial is given as:

x^3 - 5x^2 + 3x - 15

Group the terms

(x^3 - 5x^2) + (3x - 15)

Factorize each group

x^2(x - 5) + 3(x - 5)

Factor out x - 5

(x^2 + 3)(x- 5)

Hence, the factored expression of x^3 - 5x^2 + 3x - 15 is (x^2 + 3)(x- 5)

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Answer:

( A - B).

A = { a, e, I, o, u}

B = { a, b, c, d }

{ e, I, o, u}

A - B = subtracting elements of B from A ( all the common elements)

The  value of h(6) = 5

A function is a mathematical statement used to relate two variables .

It is given that

4h(x) = h(4x)

It is also given that

h(24) = 20

now to determine the value of h(6)

4* h(6) = h(6 *4)

4* h(6) = h(24)

4 * h(6) = 20

h(6) = 5

Therefore the value of h(6) = 5.

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Answer:

answer is -3 ....is this correct

Answer:

Hence, 12,90,000 can be expressed as [tex]$1.29 \times 10^{6}$[/tex].

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

[tex]$1.29 \times 10^{6}$[/tex]

So, [tex]$12,90,000=1 \cdot 29 \times 10^{6}$[/tex].

Answer:

2788.

Step-by-step explanation:

This is represented by an arithmetic series  with first term 16 and common difference 4.

The number of rows n = 34.

The capacity

= sum of 34 terms

= (34/2)[2*16 + 4(34-1)]

=  2788.

Answer:

2788

Step-by-step explanation:

16,20,24,.. This is a arithmetic progression with common difference of 4

Sn=? , d=4 , a =16 , n=34[tex]Sn=\frac{34}{2}[2(16)+(34-1)4] \\\\Sn=17[32+33(4)]\\\\Sn=17[164]\\\\Sn=2788[/tex]

Answer:

k+i =290

Step-by-step explanation:

The three angles added together form a circle, which is 360 degrees

k+i + 70 = 360

We want to find the sum of k+i, so we subtract 70 from each side

k+i + 70-70 = 360-70

k+i =290

Answer:

See attached image.

Step-by-step explanation:

Answer:

If y = 60 then x = 25

Step-by-step explanation:

You know that when y = 12 then x = 5

So when y = 60, x = 25

The reason for this is because 12 * 5 = 60.

Which means that since the y = 12 was multiplied by 5, the x = 5 should be multiplied by 5 too.

Since 5 * 5 = 25, then we know that if y = 60, then x will equal 25.

Hope this helped! :D

Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape

- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation

- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape

- Dilation means that it stretches or shrinks the pre-image.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.

Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.

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Answer: reflected and then translated onto   only involve rigid motions    

congruent

Step-by-step explanation:

Triangle  abc

is

reflected and then translated onto

triangle qpr

. Since the transformations

only involve rigid motions

, the triangles are

congruent

.

how do u not know this

Step-by-step explanation:

my guy

Answer:

8

Step-by-step explanation:

Since one-sixth was multiplyed be 1 1/3, we just have to find the opposite, six-ones. We multiply that by 1 1/3 and we get 8!

The values of m and n are -29/3 and 40/3 respectively

A polynomial is a function that has a leading degree of 2 and greater. Given the polynomial

P(x) = 2x^3 + mx^2 + nx – 2

If  it is divided by x – 3, the remainder is 4 and divided by x – 2, the remainder is 2, hence;

4 = 2(3)^3 + 9m + 3n - 2

4 = 54 + 9m + 3n - 3

9m + 3n = -47

Similarly

2 = 2(2)^3 + 4m + 2n - 2

4m + 2n = -12

Solve simultaneously

9m + 3n = -47 * 2

4m + 2n = -12  * 3

______________
18m + 6n = -94

12m + 6n = -36

Subtract

6m = -58

m = -58/6 = -29/3

For the value of n

4m + 2n = -12

2m + n = -6

2(-29/3) + n = -6

n = -6 + 58/3

n = 40/3

Hence the values of m and n are -29/3 and 40/3 respectively

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Answer:

Step-by-step explanation:

A more complicated expression such as 64x3+27y3 64 x 3 + 27 y 3 is also a sum of cubes since 64x3=(4x)3 64 x 3 = ( 4 x ) 3 and 27y3=(3y)3 27 y 3 = ( 3 y ) 3 . Please note, that expressions such as 2x3 2 x 3 are not perfect cubes.

A box plot has 5 data descriptions. The interquartile range for the given data set is 13.5.

A box plot has 5 data descriptions.

The given following information can be written as,

Thus, the interquartile range for the given data is,

Interquartile range = 27.5 - 14 = 13.5

Hence, the interquartile range for the given data set is 13.5.

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Based on the calculations, the length of GF is equal to 26 units.

In Geometry, the centroid of any triangle always divides the lines in a ratio of 2:1. Thus, G divides line B F as follows:

2DG = BD

2(9x + 2) = 40

18x + 4 = 40

18x = 40 - 4

x = 36/18

x = 2.

Similarly, G divides line A F as follows:

2GF = A F

GF = A F/2

GF = (19x + 14)/2

GF = (19(2) + 14)/2

GF = 52/2

GF = 26 units.

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Answer:  26 units

Step-by-step explanation:   Trust Me!  

The answer is correct on Edge. I did it and got it right!

Answer:

A

Step-by-step explanation:

Fundamental Theorem of Algebra:

   This states that any polynomial with degree n will have n solutions which are real or complex.

Since this function you gave has 4 zeroes, this function has to have at at least a degree of 4. The reason I say at least, is because of something called multiplicity. When a zero has an even multiplicity it will have a turning point at the zero, if it has an odd multiplicity it will pass the x-axis. So assuming each zero only has a multiplicity of 1, then this will have at least a degree of 4. It also might have complex zeroes which still count as zeroes.

End Behavior of Polynomial Functions:

   So this is pretty easy to remember, but if the leading coefficient is positive, then the end behavior to the right will go up, if it's negative it will go down. Now the next thing to know is an odd degree means that the end behavior will go in opposite directions. So if the right goes up, then the left side will be going down and vice verse. if it's an even degree then the two opposite sides will go in the same direction.

In this case both ends are going down, in the same direction. This means that the leading coefficient is negative and the degree is even.

Using these two things, we can exclude answers

B can't be the answer, it only has 3 zeroes, this has at least 4.

C can't be the answer, it has an odd degree so the end behaviors would go in opposite directions

D can't be the answer, it has a positive leading coefficient so the right side would be going up

This means the only possible equation is A which has at least a degree of 4, negative leading coefficient, and even degree.

There are 83210 subscribers after 5 days

The given parameters are:

The number of subscribers each day is calculated as:

f(n) = a * (1-r)^n

This gives

f(n) = 93000 * (1 - 2.2%)^n

Evaluate the difference

f(n) = 93000 * 0.978^n

At 5 days, we have:

f(5) = 93000 * 0.978^5

Evaluate

f(5) = 83210

Hence, there are 83210 subscribers after 5 days

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The total cash that's due at signing will be $5365.

It should be noted that security deposit on acquisition are paid at the begining.

The total cash that's due at signing:

= Down payment + Security deposit + Acquisition fee

= 4400 + 435 + 530

= $5365

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