How many different "words" can be made from the given word by re-arranging the letters in DIGIT

Answer:

D. Systematic Random Sampling

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Answer:

n = 13

Step-by-step explanation:

Step 1: Distribute

24 = 3n - 15

Step 2: Add 15 to both sides

39 = 3n

Step 3: Divide both sides by 3

n = 13

Answer:

Step-by-step explanation:

3*N 3*-5

24+15=3N

Answer:

ΔABC is similar to ΔCDE

Step-by-step explanation:

Statement                               Reason

DE ║AB                                  Given

∠CDE ≅ ∠CAB                      Corresponding Angles Theorem

∠C ≅ ∠C                                Reflexive property of congruence

ΔABC is similar to ΔCDE      AA postulate

The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).

Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)

Answer:

Option C.

Step-by-step explanation:

Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.

If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.

If  [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.

If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.

The given equations are

[tex]2x-y=7[/tex]

[tex]y=2x+3[/tex]

These equations can be rewritten as

[tex]2x-y-7=0[/tex]

[tex]2x-y+3=0[/tex]

Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].

[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.

Hence, option C is correct.

Answer:

ANSWER: C

Step-by-step explanation:

Answer:

g(x)= x^2+10x + 24.

Step-by-step explanation:

g(x) = (x + 5)^2 −1

= x^2 + 5x + 5x + 25 - 1

= x^2 + 10x + 24

g(x)= x^2+10x + 24 is your answer.

Hope this helps!

Answer:

the answer is g(x)=x^2+10x+24.

Step-by-step explanation:

here,

=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)

=x^2+10x+25_1

=x^2+10x+24... is answer

hope its helpful to uh..

Answer:

i belive it is 13.25

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The sum of 1.25 and (−1 3/4) can be done as,

1.25 + (−1 3/4)

= 1.25 - 1.75

= -0.5

The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,

-0.5 + (-2 1/2)

= -0.5 - 2.5

= -3

Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

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Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]

Answer:

B. 114 deg

Step-by-step explanation:

Since sides AC and BC are congruent, then angles A and B are congruent.

m<A + m<B + m<C = 180

33 + 33 + m<C = 180

m<C + 66 = 180

m<C = 114

Answer:

1/11

Step-by-step explanation:

Out of eleven of the sections, Bridget only takes care of one, so she took care of one out of eleven (1/11) sections.

Hope this helped! :)

Answer:

1/11

Step-by-step explanation:

Since there are 11 equal sections in total, we know that 11 is the denominator => the amt. of garden her neighbor plants is excess info. so we can cross that out. => Bridget plants 1 section of the whole garden so that is our numerator.

Thus, we have our answer of 1/11

Answer:

The correct option is B

B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2

Step-by-step explanation:

A rectangle has the following features:

Considering these point, the best options is B because:

AB || CD = opposite sides have same slope 2 (they are parallel)

BC || DA = opposite sides have same slope -1/2 (they are parallel)

For 2 lines to be perpendicular:

Slope of line 1 = -1/ (Slope of line 2)

Let line 1 be AB and line 2 be BC

Slope of AB = -1/(Slope of BC)

2 = -1/(-1/2 )

2=2

Hence proved

As two points are true, third point will also be true

Answer:

No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.

Step-by-step explanation:

Solids of rotation will always have a curved face, so they’re always non-polyhedral.

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

The measure of each individual angle will be of 90°

A quadrilateral is a 2D figure which has 4 sides.

According to the given question a square is dilated by a factor of 2.

Suppose the side of the original square was x cm.

∴ We know the area of he square will be side² which is

= (x)²

= x².

Now the square is dilated by a factor of 2.

∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².

But the measure of each individual angle will be same and they are all of 90°.

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Answer:

EFB is the angle that is adgacent

Answer:

angle AFB

Step-by-step explanation:

Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.

What side does EFA share with?

It shares it with AFB.

That‘s it!

Hope this helped!

Answer:

B

Step-by-step explanation:

[tex]10+6(-9-4x)=10(x-12)+8[/tex]

[tex]10-54-24x=10x-120+8[/tex]

[tex]-44-24x=10x-112[/tex]

[tex]-44=34x-122[/tex]

[tex]78=34x[/tex]

[tex]x=2[/tex]

Answer:

a measure, quanity or frequency typically one measured against another quantity or measure.

Step-by-step explanation:

i have written in my own words so i would love to be the brainliest i never got one before and i have only 20  points so thank you so much for making me the brainliest if you did so i love u.

Answer:

I do indeed understand rates in math.

Step-by-step explanation:

If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.

Step-by-step explanation:

Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.

-36 -117

-27 -98

-18 -79

We note that for every increase of 9 in x, there is an increase of 19 in y.

so continuing:

-9 -60

0  -41  (y-intercept)

Answer: y-intercept is (0,-41)

Answer:

335790

Step-by-step explanation:

42=2×3×7

unit digit should be even.

sum of digits should be divisible by 3

3+5+7+9=24÷3=8

sum of other two digits should be multiple of 3

let us consider 335790

3+0=3=3×1

also 0 is even.

335790÷42=7995

Answer:

(1,4),(2,12)

----------

The form is y = ab^x

12 = ab^2

4 = ab^1

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

Divide the 1st by the 2nd to get:

3 = b

--------

Substitute that into the 2nd equation to solve for "a":

4 = a*3^1

a=(4/3)

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

EQUATION:

y = (4/3)*2^x

==================

Step-by-step explanation:

Answer:

The value of y = 4

Step-by-step explanation:

Explanation:-

Given the operation *is defined by

         x*y=2 x-y,where x and y are real numbers

Given  y * ( 3 * y ) = 6

     ⇒    y * ( 2 (3) -y) = 6    (∵    x*y=2 x-y)

     ⇒     y * ( 6 - y) = 6

    ⇒     2 (y) - (6 - y ) = 6

    ⇒       2 y - 6 + y = 6

   ⇒         3 y = 6 + 6

  ⇒             3 y = 12

  ⇒               y = 4

Verification:-

Put y =4 in given operation

 L.H.S    

 y * ( 3 * y ) =  4 * ( 3 * 4)

                  = 4 * (2(3)-4)      (∵ x*y=2 x-y )

                 = 4 * ( 6-4)

                = 4 * 2            

               = 2(4) -2      (∵ x*y=2 x-y )

               = 6

              =R.H.S

  y *(3*y) = 6​

          ∴ y = 4 is satisfied  

Answer:

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Step-by-step explanation:

Step(i):-

Given  cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b)  [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]

[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]

[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

Step(iii):-

General solution of  cos x = cos ∝  is  x = 2 nπ+∝

we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]

The general solution of  [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is

⇒  [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]

⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]

 [tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]

final answer:-

General solution is

 [tex]x = n \pi + \frac{\pi }{8}[/tex]

Answer:

1st function: all negative real numbers

2nd function: all real numbers

3rd function: all real numbers except -3 ≤ x ≤ 3

4th function: all real numbers between -3 and 3

Step-by-step explanation:

In the picture attached, the question is shown.

The domain is the set of all the numbers that the independent variable (here, x) can assume.

In this exercise we have to identify which types of graph correspond and correlate them with the given sentences, in this way we find that:

1)all negative real numbers

2) all real numbers

3) all real numbers except -3 ≤ x ≤ 3

4) all real numbers between -3 and 3

So then when we deal with graph it is important to observe its axes then:

1) In the first case we have to be all negative and real numbers since it is only found in this part of the graph.

2) The second graph reports all the real numbers, that is, the numbers that are in the positive part and in the negative part.

3) The third case is very similar to the second, where we find all the real numbers, but the graph "skips" the numbers 3 and -3.

4) Finally, the last graph is just between the values ​​of 3 and -3 with a line delimiting these values.

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Answer:  you need to have a line graph

stay safe

Answer:

Step-by-step explanation:

its a

Answer: To solve this you’re going to need to input the x value.

Step-by-step explanation:

The x values are given

Answer:

-1  

Step-by-step explanation:

In the picture attached, the question is shown.

To compute the rate of change of the linear relationship we need two points, (x1, y1) and (x2, y2), and the next formula:

rate of change = (y2 - y1)/(x2 - x1)

Selecting points (0,3) and (1,2), notice that other selections are also possible, and replacing them into the equation we get:

rate of change = (2 - 3)/(1 - 0) = -1

Subtract the percent of getting odd from 100 percent.

100 - 62 = 38%

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Answer: B

Step-by-step explanation:

Given the two systems of inequality to be:

x – 2y < 4

Rearrange the equation,

X - 2y < 4

-2y < 4 - x

The sign will change as we divide both sides by -2

Y > -2 + x/2

Y > x/2 - 2 ...... (1)

and

y > – 2x – 5 ..... (2)

Multiply (1) by 2 and (2) by 1/2

2y > x - 4

y/2 > -x - 5/2

Since the inequality sign of the two are the same, you can eliminate x by addition.

2 1/2 y > - 4 5/2

Change mixed fraction to improper fraction.

5y/2 > -13/2

Cross multiply

10y > -26

y > -26/10

y > - 2.6

Base on the value got for y, the correct answer is B ( -8, 2 ) because only option B and D has negative value for x and y is not equal to zero.

You confirm by plugging in the value in the two inequality equations.

Answer:

x = -2      OR     x = -3

Step-by-step explanation:

=> [tex]x^2+5x+6 = 0[/tex]

Using mid-term break formula

=> [tex]x^2+2x+3x+6 = 0[/tex]

=> x(x+2)+3(x+2) = 0

Taking x+2 common

=> (x+2)(x+3) = 0

So Either,

x+2 = 0   OR    x+3 = 0

x = -2      OR     x = -3

Answer:

Area ≈ 20 square units

Step-by-step explanation:

Using Distance Formula to Find the lengths

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Length XY:

=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]

=> [tex]\sqrt{25}[/tex]

=> 5 units

Length YZ:

=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8 units

Length ZX:

=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]

=> [tex]\sqrt{89}[/tex]

=> 9.4

Perimeter:

=> 5+8+9.4

=> 22.4

Semi-Perimeter:

=> 11.2

Using Heron's Formula to find the area:

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is semi perimeter and a,b and c are side lengths

=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]

=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]

=> Area = [tex]\sqrt{399.9}[/tex]

=> Area = 19.99

=> Area ≈ 20 square units