In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answer:

-3/7

Step-by-step explanation:

Answer:

the answer must be ±6

Step-by-step explanation:

√36 = ±6

Answer:

6 is the correct answer because✓36 is 6

Answer:

(f o g)(x) = 0.8x - 15

Step-by-step explanation:

(f o g)(x) = f(g(x)) = applying first g(x), and then using that result as input value for f(x).

so, first we discount by 20% and use g(x)

g(x) = 0.8x

and then we use that in f(x)

f(0.8x) = 0.8x - 15

and that is the result.

Answer:

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Step-by-step explanation:

From the given question, the proof can be completed as;

Statement                                          Reason

1. <2 and < 1 are complementary     (47)  c. given

   <3 and <1 are complementary

2. m<2 + m<1 = [tex]90^{o}[/tex]                             (48) b. definition of complementary angles

   m<3 + m<1 = [tex]90^{o}[/tex]

3. m<2 + m<1 = m<3 + m<1                 3. Substitution property

4. (49)  a, m<2 = m<3                         4. Subtraction property

5. <2 ≅ <3                                           (50) d. definition of congruent angles

Therefore,

(47)  c. given

(48) b. definition of complementary

(49)  a, m<2 = m<3

(50) d. definition of congruent angles

Answer:

Following are the solution to the gvien question:

Step-by-step explanation:  

Let the quadratic equation is:

[tex]\to h(x) = (x + 1)^2 - 4[/tex]

vertex is:

[tex]\to h(x) = a(x -h)^2 + k[/tex]

(h) = axis of symmetry

(h,k) = vertex.

By using the given equation:

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

Hence,

[tex]h = -1 \\\\ k = -4[/tex]

line of symmetry [tex]x = -1[/tex]  

vertex is [tex](h,k) = (-1,-4)[/tex]

finding the x intercept:

 [tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]

x -intercepts -3,1

Calculating the y-intercept when x = 0 putting into the real equation:

[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]

Please find the graph file in the attachment.

Answer:

m/x cents

Step-by-step explanation:

Cost of 1 mango = Total cost/total number of mangoes

= m/x cents

Answer:

33.5 units²

Step-by-step explanation:

We can see this figure as 2 shapes: a square and a triangle. The square measures 4 x 4, and it's area is 16. That leaves the triangle, which has half the area of a quadrilateral that measures 5 x 7. The area of the quadrilateral is 35, and the triangle has an area of 17.5, which is half of that. Adding them together, we get 33.5.

Answer:

33.5 unit²

it's a mixture of triangle and square.

draw a imaginary straight line across the figure from that line which has length of 3 units and now you can see the triangle and the square. Use the formula to find area of triangle and area of square and the sum of their area will be the area of this whole figure i.e 35.5 unit²

Answer:

Answer is 1536

Step-by-step explanation:

plug in 3 for x

f(3) = 3*8^3 = 1536

Answer:

1536

Step-by-step explanation:

f(x) = 3 * 8 ^ x

x = 3

f(3) = 3 * 8 ^ 3

8^3 = 8 * 8 * 8

8^3 = 512

f(3) = 3 * 512

f(3) = 1536

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

Answer:

a = 0 or a = -7

Step-by-step explanation:

We are going to solve this quadratic equation by factorizing.

a² - 7a = 0

a(a - 7) = 0

a = 0 or a - 7 = 0

a = 0 or a = -7

Answer:

B. 0.38

Step-by-step explanation:

Tan = Opposite/Adjacent

Opposite of angle C = 5 and adjacent = 13

Hence tan C = 5/13 = .38

Answer:

Step-by-step explanation:

Remark

You are given a right angle triangle, so it is possible to define the Tangent directly.

Definition

Solution

Opposite Side = 5

Adjacent side = 13

Tan(C) = 5/13 = 0.3846

Answer:

a

Step-by-step explanation:

:) for sure

Answer:

9x-10y

Step-by-step explanation:

9x+y-2y-9y(Multiply by 1)

Combine like terms

9x-10y

Answer:

m = 4.58  

Step-by-step explanation:

Given equation :

2.4 ( m - 3) = 3.8

So now we open the brackets and multiply the terms.

⇒ 2.4 m - 7.2 = 3.8

⇒ 2.4 m = 3.8 + 7.2

⇒ 2.4 m = 11

⇒ m = [tex]\frac{11}{2.4}[/tex]

⇒ m = 4.58

Therefore, the correct value of the variable m by solving the equation is 4.58

Hi there!

Adjacent angles, or angles that are next to each other, add up to 180 degrees. They are supplementary.

Examples: 1 and 4, 3 and 4, 2 and 3, 1 and 1

Opposite angles, or angles that are opposite of each other, have the same measure.

Examples: 1 and 3, 2 and 4

I hope this helps!

Answer:

640 Miles

Step-by-step explanation:

Answer:

x = 3y - 2

Step-by-step explanation:

Given the equation y = 1/3(x+2), we are to make x the subject of the formula;

y = 1/3(x+2)

Cross multiply

3y = x+2

Subtract 2 from both sides

3y - 2 = x+ 2 -2

3y - 2 = x

Swap

x = 3y - 2

This give the required equation

Answer:

hope this helped ^-^

Step-by-step explanation:

Answer:

Rotary motion.

Step-by-step explanation:

Motion describes the movement of objects with respect to time.

When an object performs a circular or rotary motion, every point on the object moves around a central point in a continuous manner. Examples of objects that performs circular motion are: blades of an electric fan, rotation of the earth about its axis, the wheel of a moving bicycle etc.

From the cited examples, it would be observed that all points on the objects moves around a fixed central point.

Answer:

I think it could be the X-axis

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

240 [tex]inches^{2}[/tex]

Step-by-step explanation:

11 + 1 = 12

19 + 1 = 20

12 x 20 = 240

Answer:

Step-by-step explanation:

There are three surfaces to add up to.

A1, the top surface of the cone (r=1,h=2)

A2, The curved surface of the cylinder (r=1 , h = 13-2 = 11)

A3, The circular base of the cylinder (r=1)

The slant height of the cone, s = sqrt(1^2+2^2), s = sqrt(5)

The length (circumference of the base), l = 2 pi r = 2pi r = 2pi

The area is

A1 pi s l = pi * sqrt(5) (2 pi r) = 2(pi^2)sqrt(5)

The curved surface has an area of

A2 = 2 pi r h = 2pi (1)(11) =22pi

The base has an area of

A3 = pi r^2 = pi

Total area = A1+A2+A3 = 2sqrt(5) (pi^2) + 22pi + pi

= 2sqrt(5) pi^2 + 23pi

= 116.4  m^2 approx.

Answer:

9

Step-by-step explanation:

There are 4 sides to a square so you would divide 36 by 4.

36/4=9

Answer:

yeah it is -3y=-22+7/3 so y > 5

Step-by-step explanation:

Answer:

y = 2x+4

Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4

Hope this helps!

Step-by-step explanation:

Hey there!

Given function is f(X) = 11x+7.

Let f(X) be y.

So, y = 11x+7

Interchanging"X" and "y" we get;

X = 11y+7

or, X-7 = 11y

or, y = (x-7)/11

Therefore {f}^{ - 1} (x) = \frac{x - 7}{11} [/tex]

Hope it helps!

Answer:

Step-by-step explanation:

The volume of a sphere is given as

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 as π:

[tex]V=\frac{4}{3}(3.1415)(4)^3[/tex] to get that

V = 268.07 cm³

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.