If BC is 1

CD is 2

DA is 3

AB is 4,

what is EF?

Answer:

the next number is 47+ 16 =63

Answer:

The answer is 20 L

Step-by-step explanation:

if 1/2 minutes = 1 L

10 minutes = 20 L

Answer:

20 liters

Step-by-step explanation:

when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.

In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )

we know that 1 liter is lost in 1/2 minute

1/2 minute = 1 liter

×2                ×2  {multiply both sides by 2 to find "1 minute"}

1 minute = 2 liters

So, for every 1 minute, we lose 2 liters

if we have 10 minutes, we can multiply both sides by 10:

1 minute = 2 liters

×10           ×10

10 minutes = 20 liters

So, after 10 minutes, 20 liters are lost

hope this helps!!

Answer:

(0,11)

Step-by-step explanation:

If we let x=0, then -y = -11, and so y=11.

Thus, (0,11) is a solution to the linear equation.

Answer:

the answer will be similar, because if you divide 2, 3, 2.25 by 3 you will get the answer.

Answer: C

Step-by-step explanation:

[tex]50 < 5x-10\\\\60 < 5x\\\\x < 12[/tex]

However, the angle has to have positive measure, so:

[tex]5x-10 > 0\\ \\ 5x > 10\\\\x > 2\\\\\therefore \boxed{2 < x < 12}[/tex]

A function assigns the values. The value a is 11.

A function assigns the value of each element of one set to the other specific element of another set.

The given logarithmic function can be solved as shown below.

[tex](\log(a-1))^2 =\log10\\\\(\log(a-1))^2 =1\\\\(\log(a-1)) =\sqrt1\\\\\log(a-1) = 1\\\\10^1 = a-1\\\\a = 11[/tex]

Hence, the value a is 11.

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Answer:

256

80÷100×320=256

80÷100=0.8

0.8×320=256

The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

The given parameters are:

Rewrite the zeros as:

x = -3, x = -3, x = 4 and x = 2

Set the zeros to 0

x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0

Multiply the zeros

(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0

Express as a function

y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)

Substitute 1 for a

y(x) = (x + 3)²(x - 4)(x - 2)

Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

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Answer:

Triangular Prism

Step-by-step explanation:

A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry.

The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.

The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.

Volume of cylinder = πr²h

Volume of hemisphere = ⅔πr³

Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.

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Answer:

C

Step-by-step explanation:

I Just Took the Test.

Answer:

- x + y - 4

Step-by-step explanation:

Given polynomial:

[tex] \rm \: x+2y+1-(2x+y+5)[/tex]

Solution:

Removing parentheses,we obtain

Collecting and combining like terms,we obtain

Done!

The value of MXN will increase.

The official currency of Mexico is The Mexican peso (MXN).

MXN is simply an abbreviation of the currency the Mexican peso, which is the official currency of the country of Mexico.

Similarly, the drop value in currency is defined as the expression that the currency is worth less as compared to all other countries.

When a currency's country interest rate drop, then the value of the currency increase. Here given in the question as there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates, the value of MXN will increase as the drop is more in Mexico which affects its currency MXN.

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To solve the expression given , Drag zero pairs to the window and then Remove the 5 groups of –2 tiles , Option b and c is the right answer

It is a teaching method in which materialistic representation is done for concepts like addition and subtraction .

It is used for kids who find it difficult to understand adding a negative integer etc.

For the expression given

-5 (-2)

Drag zero pairs to the window and then Remove the 5 groups of –2 tiles.

Therefore Option B and C is the right answer.

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Hii!

[tex]\leadsto\parallel\boldsymbol{Answer.}\parallel\gets[/tex]

_________________________________________________________

3v+4w-1

__________________________________________________________

[tex]\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]

We use the distributive property to "distribute" the minus sign.

[tex]\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}[/tex].

Simplify!

[tex]\sf 3v+4w-1}[/tex]. Which is our final answer.

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

_________________________________________________________

The value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.

The correct question is

Which values of a, b, and c represent the answer in simplest form?

7/9 divided by 4/9 = [tex]\rm a\dfrac{b}{c}[/tex]

1: a = 1, b = 4, c = 3

2: a = 1, b = 3, c = 4

3: a = 1, b = 63, c = 36

4: a = 1, b = 36, c = 63

Reducing to simplest form means to reduce to an extent where the numerator and denominator have nothing in common to be cancelled out.

It is given in the question that

(7/9) / (4/9) =  [tex]\rm a\dfrac{b}{c}[/tex]

It can also be written as

(7*9)/(4*9) =  [tex]\rm a\dfrac{b}{c}[/tex]

7/4 = [tex]\rm a\dfrac{b}{c}[/tex]

[tex]\rm 1 \dfrac{3}{4} = a\dfrac{b}{c}[/tex]

Therefore the value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.

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 The binomial expansion of (2+3x)^5 - (2 - 3x)^5 is 480x + 2160x^3 + 486x^5

Concept: Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms.

For two terms x and y the binomial expansion to the power of n is (x + y)n = nC0 0 xn y0 + nC1 1 xn - 1 y1 + nC2 2 xn-2 y2 + nC3.

Binomial expansion of (2+3x)^5 =32+240x+720x^2+1080x^3+810x^4+243x^5

Binomial expansion of (2-3x)^5 = 32-240x+720x^2-1080x^3+810x^4-243x^5

Combining both the expansions,=32+240x+720x^2+1080x^3+810x^4+243x^5 - (32-240x+720x^2-1080x^3+810x^4-243x^5)

= 32+240x+720x^2+1080x^3+810x^4+243x^5 - 32+ 240x - 720x^2 +1080x^3 -810x^4 +243x^5

=480x + 2160x^3 + 486x^5

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Answer:

The standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.

Step-by-step explanation:

Standard deviation: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

The given parameters are:

Proportion, p = 10%

Sample size, n = 1000

The standard deviation is calculated as:

σ=[tex]\sqrt{np(1-p}[/tex]

So, we have:

σ=[tex]\sqrt{1000*10%*(1-10%)}[/tex]*(1-10%)

Evaluate:

σ= 9.49

Hence, the standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.

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Answer:

  x = y = 4

Step-by-step explanation:

A 2-variable linear programming problem is nicely solved by graphing. The solution will be one of the vertices of the solution set. The attached graph shows that means it is one of (x, y) = [(0, 0), (0, 6), (4, 4), (6, 2), (7, 0)}.

__

Evaluating the objective function at each of these vertices will show you the solution that maximizes it.

(0, 0) -- P = 40·0 +50·0 = 0

(0, 6) -- P = 40·0 +50·6 = 300

(4, 4) -- P = 40·4 +50·4 = 360

(6, 2) -- P = 40·6 +50·2 = 340

(7, 0) -- P = 40·7 +50·0 = 280

_____

Additional comment

The solution set would ordinarily be the area that is covered by the shading that signifies the solution set of each of the 5 inequalities. 5 different overlapping shadings can make the graph quite messy, so we have elected to shade the areas that are NOT part of the solution set. In doing so, we have made the boundary lines dashed when they are part of the solution set

The possible solutions are the vertices of the white space on the graph.

The black line on the graph is the line corresponding to the maximum value of the objective function. To maximize the objective function, we want that line as far from the origin as possible. It is shown intersecting the vertex of the solution space that meets that condition.

Answer:

4

Step-by-step explanation:

Area of a triangle = bh/2

B = 2h

16 = 2h × 2/2

h×2 = 16

2h = 16

* put a square root on both sides then u will get the answer which is

Height of the triangle = 4

The domain of the function [tex]y=\sqrt{(x+6)}-7[/tex] is given by (B) that is [tex]x \geq-6[/tex]

Domain of a function refers to the values or range of input values of a function for which the function exists in real.

In this problem the given function is

[tex]y=\sqrt{(x+6)}-7[/tex]

Now the above function exists if the expression under square root is greater or equal to 0, since negative number cannot be square rooted in real, that gives imaginary number.

So, for existence of function it is must to

[tex]x+6\geq0[/tex]

[tex]x\geq-6[/tex]

Hence the domain of the given function is given by [tex]x\geq-6[/tex]

Hence the correct option is (B).

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Answer:

D)

Step-by-step explanation:

47 is the right answer! Have an cool day!

The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, First, find the area of the two squares:

The photograph have vertices:

(-3, -2), (-2, 2), (2, 1), and (1, -3).

Since, The square is diagonally aligned, so we need to find the length between two points in order to find the area.

For (1, -3) and (2, 1).

There is a 1 unit length and a 4 unit height.

We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:

1² + 4² = x²

1 + 16 = x²

x = √17

The side length for the square of the photograph is the square root of 17,

so the area of the photograph is 17 units²

Now, The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.

Now , we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:

64 - 17 = 47 square units.

Thus, The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

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Answer:

11.65

Step-by-step explanation:

3x+99x=102x

1188/102=11.65

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3x + 99x = 1,188}[/tex]

[tex]\large\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{(3x + 99x) = 1,188}\\\mathsf{3x + 99x = 1,188}\\\mathsf{\bold{102x} = 1,188}[/tex]

[tex]\large\textbf{DIVIDE 102 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{102x}{102} = \dfrac{1,188}{102}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{1,188}{102}}[/tex]

[tex]\mathsf{x = 11.64705882}[/tex]

[tex]\large\textbf{AND IF YOU'RE ROUNDING}[/tex]

[tex]\mathsf{x \approx 12}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x \approx 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

SSS theorem

Step-by-step explanation:

It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.

The pounds of corn in the second month is 390

We have:

First month, a = 300

Rate, r = 35%

The pounds of corn in the second month is calculated using:

Pound = a * (1 + r)

So, we have:

Pound = 300 * (1 + 30%)

Evaluate the sum

Pound = 300 * 1.3

Evaluate the product

Pound = 390

Hence, the pounds of corn in the second month is 390

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Answer:

10

Step-by-step explanation:

Answer:

825

Step-by-step explanation:

hope it helps.good day

Answer: 1.25

Step-by-step explanation:

The explicit formula for the sequence is [tex]a_{n}=10(0.5)^{n-1}[/tex]

Substituting in n=4,

[tex]a_{4}=10(0.5)^{4-1}=\boxed{1.25}[/tex]

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

900+50x=450+75x

To solve;

900 - 450 = -50x +75x

450 = 25x

x = 450 /25

x = 18

The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.

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