if DF = 61 and EF = 18, find DE

Answer:

P=10√2

Step-by-step explanation:

Perimeter of rectangle= 2 length + 2 width

P=2l+2w

P=2(√18)+2(√8)

P=2(√9*2)+2(√4*2)

P=2*3*√2 +2*2√2

P=6√2+4√2

P=10√2

Answer: 4(a - b)

Step-by-step explanation:

If 4 is multiply by the difference of  a and b  then we will have the expression,

4(a-b)

D. The distribution for town A is positively skewed, but the

distribution for town B is symmetric.

The distribution for town A is positively skewed, but the distribution for town B is symmetric. The correct option is D.

Box plots, also known as box-and-whisker plots, are a way to visualize the distribution of a set of numerical data.

To compare the shapes of the box plots, we need to look at the position of the median, the length of the box, and the length of the whiskers.

In the box plot for town A, the median is closer to the bottom of the box, indicating that the lower half of the data is more spread out than the upper half.

The whisker on the left side of the box plot is longer than the whisker on the right side, which indicates that there are some extreme values on the lower end of the data. This is consistent with a positively skewed distribution.

In contrast, the box plot for town B has a symmetrical box, with the median located near the center.

The whiskers on both sides of the box plot are roughly the same length, indicating that there are no extreme values on either end of the data. This is consistent with a symmetric distribution.

Thus, the correct option is D.

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2x - 1 > 0 ( x = 1)

x + (x − 1) > 5 ( x = 3)

5x − 3x > 9 ( x = 5)

Answer:

2x - 1 > 0 ( x = 1)

x + (x − 1) > 5 ( x = 3)

5x − 3x > 9 ( x = 5)Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Let  = a 30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5 x

    +2x         +2x

-----------------------

50 = 40 + 0.5 x

-40   -40

-------------------

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

Answer:

68

Step-by-step explanation:

We can see that the nth term would be the sum of the previous two terms. Continuing this would result in 68.

Answer:8.34 x 10-4

                                      mark me brainliest

Answer:8.34 x 10 -4 is the answer

Answer:

1724.9

Step-by-step explanation:

1724.89 ≈ 1724.9

Answer:

1724.9

Step-by-step explanation:

If you want to round to tenths place, look at hundredths place.

If the digit in  hundredths place is  5 or more than 5  (5,6,7,8,9), then add '1' to the tenth place.

Here, 9 is in hundredths place, so add 1 to 8

1724.9

Answer:

75.091

Step-by-step explanation:

Answer:

[tex]54^\circ[/tex]

Step-by-step explanation:

Given :

[tex]m\angle A=(2x+10)^{\circ}[/tex]

[tex]m\angle B=(3x+15)^{\circ}[/tex]

And angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary angles.

To find:

The measure of [tex]\angle B[/tex].

Solution:

First of all, let us learn about complementary angles.

Complementary angles are the angles whose sum is equal to [tex]90^\circ[/tex].

And we are given that angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary angles.

Therefore [tex]\angle A[/tex] + [tex]\angle B[/tex] = [tex]90^\circ[/tex]

[tex]\Rightarrow 2x+10+3x+15=90\\\Rightarrow 5x+25=90\\\Rightarrow 5x=65\\\Rightarrow x =13[/tex]

Putting the value in [tex]\angle B[/tex].

[tex]m\angle B=(3\times 13+15)^{\circ} = 54^\circ[/tex]

Therefore, the answer is [tex]\bold{\angle B = 54^\circ}[/tex]

Answer:

x= -2

Step-by-step explanation:

Answer:

All of them.

Step-by-step explanation:

For rational functions, the domain is all real numbers except for the zeros of the denominator.

Therefore, to find the x-values that are not in the domain, we need to solve for the zeros of the denominator. Therefore, set the denominator to zero:

[tex]x(x-1)(x^2-4)=0[/tex]

Zero Product Property:

[tex]x\neq 0\text{ or }x-1\neq 0\text{ or }x^2-4\neq 0[/tex]

Solve for the x in each of the three equations. The first one is already solved. Thus:

[tex]x-1\neq 0 \text{ or }x^2-4\neq 0\\x\neq 1\text{ or }x^2\neq 4\\x\neq 1 \text{ or }x\neq\pm 2[/tex]

Thus, the values that cannot be in the domain of the rational function is:

[tex]x=-2,0,1,2[/tex]

Click all the options.

Answer:

[tex]\Large \boxed{\mathrm{All \ options}}[/tex]

Step-by-step explanation:

The domain of a function are all possible values for x.

To find the domain of a rational function, we set the denominator equal to 0, and solve for x. Those values of x are not included in the domain, since the denominator of 0 would make the rational function undefined.

[tex]x(x-1)(x^2-4)=0[/tex]

Setting the factors equal to 0.

[tex]x=0 \\ \\ \\\\ x-1=0 \\ \\ x=1 \\ \\ \\ \\ x^2 -4=0 \\ \\ x^2 =4 \\ \\ x=\pm 2[/tex]

The values of x that are not in the domain of the rational function are x=-2, x=1, x=2, and x=0.

Answer:

A, Harry has $27 more.

Step-by-step explanation:

I could be wrong but.

1) debit cards are of your money, if you have $14 in your account it means you have $14 that you can spend without owing anything.

2) credit cards allow you to borrow money with the expectation that you pay it back. So if you have $13 of credit, you owe $13 which I guess could be seen as -$13.

3) the distance between -13 and 14 is 27.

Answer:

76

Step-by-step explanation:

so first the equation for the situation has been given which is

194=1/2x + 2x - 16

now you can just solve since it's a linear equation

194=2.5x -16

take 16 to the other side to get

210=2.5x

solve to get x (adult price)

which is 84

remember the. child's price is 8 less

84-8=76

Answer:

B

Step-by-step explanation:

First, note that the figure is a parallelogram.

The area of a parallelogram is given by:

[tex]A=bh[/tex]

Where b is the base length and h is the vertical height.

The base length is 5+2 or 7, and the vertical height is 2.

Thus:

[tex]A=7(2)\\A=14\text{ in}^2[/tex]

The answer is B.

Answer:

5y=9x-2

y=mx-b

m=slope

y=9/5x-2/5

m=9/5=1.8 slope of pArallel

slope of pARALLEL=-1/M SLOPE OF A LINE PERPENDICULAR

m=-5/9 slope of a line perpendiculr

Answer:

[tex]4\frac{1}{4}[/tex] gallons

Explanation:

Total amount of soda bought by Yoxel = [tex]4\frac{1}{2}[/tex] =[tex]\frac{9}{2}[/tex] gallons

Amount of Pepsi =[tex]\frac{1}{4}[/tex] gallons

Therfore,

Amount of sprite =[tex]=\frac{9}{2} -\frac{1}{4}\\=\frac{18-1}{4} \\=\frac{17}{4}\\ =4\frac{1}{4}[/tex]gallons

Four more than twice a number is –10 is the same as 2n + 4 = 10

Steps to solve:

2n + 4 = 10

~Subtract 4 to both sides

2n = 6

~Divide 2 to both sides

n = 3

Best of Luck!

1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.

2. [tex]V(h(r)) = 3.5\pi r^3[/tex]

3. The volume depends on the radius of the cylinder

Answer: 11.) -6. 12.) 4/5

For the square roots, there should be a plus&minus sign but my keyboard doesn't have that.

13.) 3 14.) 8

explanation: For a square root, you are looking for a number that was multiplied by itself to become the number under the radical.

11 is a bit tricky since there is a negative sign before the radical. 6×6=36 -6 × -6 = 36. It seems they want only the -6 here.

4/5 ×4/5 = 16/25

For cube root, you need the number that is multiplied by itself three times. 3×3×3 = 27 8×8×8=512

Answer:

Supplementary angles add up to 180 degrees. The key phrase "less than" signifies you are going to subtract angle X from angle Y. Angle Y is 2 times the measure of angle X so you are going to multiply Y by 2. So right now you should have the equation 2y - 19 = 180. Then, plug it in. Add 19 to 180 to move it to the other side and then divide by 2.

Answer:

[tex] \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} [/tex]

Step-by-step explanation:

Given the rational expression: [tex] \frac{2x + 3}{x^2 - 5x + 4} [/tex], to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

[tex] x^2 - 5x + 4 [/tex]

[tex] x^2 - 4x - x + 4 [/tex]

[tex] (x^2 - 4x) - (x + 4) [/tex]

[tex] x(x - 4) - 1(x - 4) [/tex]

[tex] (x- 1)(x - 4) [/tex]

Thus, we now have: [tex] \frac{2x + 3}{(x- 1)(x - 4)} [/tex]

Step 2: Apply the concept of Partial Fraction

Let,

[tex] \frac{2x + 3}{(x- 1)(x - 4)} [/tex] = [tex] \frac{A}{x- 1} + \frac{B}{x - 4} [/tex]

Multiply both sides by (x - 1)(x - 4)

[tex] \frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) [/tex] = [tex] (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4) [/tex]

[tex] 2x + 3 = A(x - 4) + B(x - 1) [/tex]

Step 3:

Substituting x = 4 in [tex] 2x + 3 = A(x - 4) + B(x - 1) [/tex]

[tex] 2(4) + 3 = A(4 - 4) + B(4 - 1) [/tex]

[tex] 8 + 3 = A(0) + B(3) [/tex]

[tex] 11 = 3B [/tex]

[tex] \frac{11}{3} = B [/tex]

[tex] B = \frac{11}{3} [/tex]

Substituting x = 1 in [tex] 2x + 3 = A(x - 4) + B(x - 1) [/tex]

[tex] 2(1) + 3 = A(1 - 4) + B(1 - 1) [/tex]

[tex] 2 + 3 = A(-3) + B(0) [/tex]

[tex] 5 = -3A [/tex]

[tex] \frac{5}{-3} = \frac{-3A}{-3} [/tex]

[tex] A = -\frac{5}{3} [/tex]

Step 4: Plug in the values of A and B into the original equation in step 2

[tex] \frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4} [/tex]

[tex] \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} [/tex]

Answer:

Step-by-step explanation:

Given the rational expression: , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

Thus, we now have:

Step 2: Apply the concept of Partial Fraction

Let,

=

Multiply both sides by (x - 1)(x - 4)

=

Step 3:

Substituting x = 4 in

Substituting x = 1 in

Step 4: Plug in the values of A and B into the original equation in step 2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer: cos(0) = 1

hope this helped

Answer:

20.75

Step-by-step explanation:

The closest to the length of one side of the square will be 9.11 meters.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

The area of a square is 83 square meters. Then the side length of the square is given as,

A = a²

83 = a²

a = √83

a = 9.11 meters

The closest to the length of one side of the square will be 9.11 meters.

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In 422.5 years, the two populations will be the same

Let the year when the two populations will be the same be represented by x.

The equation to solve the question will be:

126.5 - 0.2x = 109.6 - 0.16x

Collect like terms

0.2x - 0.16x = 126.5 - 109.6

0.04x = 16.9

x = 16.9/0.04

x = 422.5

In conclusion, in 422.5 years, the two populations will be the same.

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Answer:

∠ 1 = 105° , ∠ 2 = 75°

Step-by-step explanation:

Since the lines are parallel then

∠ 2 = 75° ( corresponding angle )

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 1 = 180° - 75° = 105°

Answer:

A) 81

B)-36

C)256

Step-by-step explanation:

A)

We have:

[tex]3^4[/tex]

This is the same as:

[tex]=3\times3\times3\times3[/tex]

This equals:

[tex]=81[/tex]

B)

We have:

[tex]-6^2[/tex]

This one is tricky. Note that the negative is not tied to 6. There's no parentheses. This is the same as saying:

[tex]=(-1)(6)^2[/tex]

Thus, evaluate the square:

[tex]=-1(36)[/tex]

Multiply:

[tex]=-36[/tex]

C)

We have:

[tex](-4)^4[/tex]

This is the same as:

[tex]=-4\times-4\times-4\times-4[/tex]

Multiply:

[tex]=256[/tex]

Answer:

A. (3x4=12)

B. (-12)

C. ( -16

Step-by-step explanation:

Hope it helps out.

3x4=12    -6x2=-12     -4x4=-16

Answer:

Line CD

Step-by-step explanation:

The another name for line P is line [tex]\over (CD)[/tex].

It is required to find the  another name for line P.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

To answer this type of problem we have to know the axiom.

At least two points define a line.

Then I can call line p as (see below attached picture)

The line p cuts the 2 different points , point C and point D, so we can.t indicate a line in a single letter of the Western Alphabet.

Therefore, the another name for line P is line [tex]\over (CD)[/tex].

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Answer: You would owe $1,263 and 75c! Have a fantastic day!