Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .

Question 9 options:

a)

21, 23, 25


b)

41, 45, 49


c)

21, 41, 61


d)

21, 25, 29

Answer:

D (2, 5)

Step-by-step explanation:

To find the vertex of the quadratic function , we will follow the steps below

(x,y) =  [-b/2a  , f(-b/2a)]

x = -b /2a         y = f(-b/2a)

The standard equation of a quadratic equation is  y =ax² + bx + c

compare the above with the equation given, y = 3x² - 12x + 17

a = 3   b= -12   and c= 17

x = -b/2a

x = -(-12)/2(3)

x = 12/6

x = 2

y = f(-b/2a)

y = f (-b/2a) = f(x) = f (2)

y = f(x) =3x² - 12x + 17

To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;

f(2) = 3(2)² - 12(2) + 17

f(2) =12-24 + 17

f(2) =5

x = 2   and    y  = 5

(x,y)  = (2, 5)

Answer:

its a scalene triangle

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Because the sum of all angles in a quadrilateral is 360° we have:

90 + 101 + 12x + 3 + 9x - 2 = 360

21x + 192 = 360

21x = 168

x = 8°

Answer:

The value of x is 8.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :

[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]

[tex]192 + 21x = 360[/tex]

[tex]21x = 360 - 192[/tex]

[tex]21x = 168[/tex]

[tex]x = 168 \div 21[/tex]

[tex]x = 8[/tex]

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

Answer:

True

Step-by-step explanation:

Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

The answer is r=2/5b

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

Hello, please consider the following.

PART 2

Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.

We can write the following

[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]

So the sum of squares changes by

[tex]\boxed{ \ 22 \ }[/tex]

PART 4

Let's say that we have n points at the beginning.

We will add n-1 points the first time, we will get n + n  - 1 = 2n -1 points.

And then, the second time we add 2n - 1 - 1 points and we get

2n - 1 +2n - 2 = 4n - 3.

Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7  and it must be 65.

So, 8n -7 = 65 <=> 8n = 65+7=72  <=> n = 72/8=9

[tex]\boxed{= \ 9}[/tex]

Thank you

Answer:

38

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too  because negative x negative = positive

CCCCCCC

Answer:

C & D

Step-by-step explanation:

[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Answer:

1. 4

2. -4

3. -4

Step-by-step explanation:

Let's look carefully at each problem and explain it.

1. (-2)^2

This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then

(-2)^2 means the product (-2) * (-2),

and since the product of two negative numbers is positive, then

(-2)^2 = (-2) * (-2) = 4

Answer is 4.

2. -2^2

Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as

-(2^2)

-2^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4.

3. -(2)^2

This is the same as problem 2 above. You square the 2 first, then take its negative.

-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

Answer:

From what chapter of a book?

Step-by-step explanation:

Answer:

he is making an appeal to someone to do something about something that he knows would be good for everyone

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Answer: 11b^2 + 3b - 1

Step-by-step explanation:

(5b^2 + 3b + 4) + (6b^2 - 5)

5b^2 + 3b + 4 + 6b^2 - 5

11b^2 + 3b -1

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

The matrix representation of the system looks:

| -650   0 |

|   -1  120 |

To clarify, it seems you have provided a system of equations:

y = 650x + 175

y = 25,080 - 120x

Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.

Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.

Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.

Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.

Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.

Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.

for such more question on matrix

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Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

Answer:

The answer is negative four

Step-by-step explanation:

4x+1y=47 can be simplified to 4x+y=47.

To find the slope, we solve for Y.

Subtract 4x from both sides.

y=47-4x

Then, move it into standard slope formula, which is y=mx+b

y=-4x+47

Answer:

Exteririor angles mean the angles not in the triangle. So the 2 4 and 3

A, D, C

Answer:

Angles two, three, and four.

Step-by-step explanation:

Exterior angles are the angles that lie outside the triangle: in this case, 1, 5, and 6 are the angles which make up the triangle, meaning 2, 3, and 4 are exterior.