405, 397,389, ...
Find the 31st term.

Answers

Answer 1
157
Explanation:
The pattern seems to have a difference of 8 between each number. Thus, 8 x 31 is 248. The starting term, 405 is the subtracted by 248. Then the 31st term is found which is 157.
Hope this helped. :)

Related Questions

The nth term of a sequence is 5n.
Work out the 10th term of this sequence.

Answers

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50


Can someone answer this please

Answers

Answer:

good luck man

Step-by-step explanation:

you will get answers after some time

The functions f(x) and g(x) are defined below. (in the image attached)




Which expression is equal to f(x) + g(x)?

Answers

[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

This is the right answer.

Refer to the attachment for the complete work.

Solve x2 – 8x + 15 < 0.

Select the critical points for the inequality shown.

Answers

Answer:

x> 17/8

Step-by-step explanation:

add the numbers

17-8x<0

move the constant to the right-hand side and change its sign

-8x<-17

Divide both side of the inequality by -8 and flip the inequality sign

x>17/8

Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?

Answers

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

Which of the following expressions are equivalent to 52n+n4n2 + 4n
5
2
n
+
n
4
n
2

+

4
n
?

Answers

Answer:

they just go straight what does it mean?

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.


The area of the bookmark is cm2.

Plzz help me

Answers

Answer:

Area of the bookmark = 52.56 cm²

Step-by-step explanation:

The two semicircles attached at both end of the rectangle will give us a full circle.

Therefore,

Area of the bookmark = area of rectangle + Area of a circle

Area of the bookmark = L × W + πr²

Length (L) = 10 cm

Width (W) = 4 cm

radius (r) = ½(4) = 2 cm

π = 3.14

Plug in the values into the equation

Area of bookmark = 10 × 4 + 3.14 × 2²

= 40 + 12.56

= 52.56 cm²

Let ​f(x)=x2+10x+37​ .

What is the vertex form off(x)?

What is the minimum value off(x)?



Enter your answers in the boxes.

Vertex form: f(x)=

Minimum value of f(x):

Answers

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

    = ( x+5) ^2+12

Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?

Answers

Answer:

30 cookies

Step-by-step explanation:

Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.

Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex]  an improper fraction first.

[tex]3\frac{3}{4} =\frac{15}{4}[/tex]

Ok! Let's multiply.

[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]

Ok, Reeba baked 45 cookies in total. We know that she sells  [tex]\frac{2}{3}[/tex]  of her baked cookies, so we can again multiply the two numbers.

[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]

Therefore, Reeba sold 30 cookies.

I hope this helps! Let me know if you have any questions :)

Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?

Answers

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

How much space does Lacey’s mom cover in frosting?

Answers

1,360 cm^2

Please just trust me, this took me a long amount of time to solve.

Basically this question is asking for the surface area. Just find the area of each face in the figure. Thats what I did.

Keep in mind that if the figure is composite and difficult like this, I separated it into 2 prism in this case.

I REALLY HOPE THIS HELPS

PLEASE SAY IF MY ANSWER IS CORRECT

-SpaceMarsh

What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees

Answers

B. I do know if it’s a triangle but 180 degrees is what you need to get to so 104+76=180

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

35 is the value of x

What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?

Answers

Answer:
Not sure if this is correct but I hope this helps :)

If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Answers

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

(2x+8)-(x-8) PLS HELP

Answers

16 : 2 = 8 so it’s technically 8
X+16


Explanation:


(2x+8)-(x-8)

You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8

(2x+8)+(-x+8)

Now you combine like terms

2x-x=x 8+8=16

16+x or x+16

A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?

Answers

20020 ways

Choosing 2 boys can be done in 14 x 13 = 182 ways.
But this puts them in order ( first and second) which is not required so the unordered number ways is 182 / 2 = 91
Choosing 3 girls can be done in 12 x 11 x 10 = 1320 ways but 3 girls can appear in 3! ways = 6.
The number of unordered selections of 3 girls = 1320 / 6 = 220
The total number of selections is 91 x 220 = 20020.

If you thought the answer was 240240 it is because you used permutations rather than combinations.

If you are still confused, remember choosing Alan and Bruce is the same as choosing Bruce and Alan.
For the girls you could choose CDE, CED, DCE, DEC, ECD OR EDC and still get exactly the same 3 girls.

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Find two points

(0,-2) and (3,0)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (0- -2)/(3-0)

  = (0+2)/(3-0)

   = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

From the graph, we can see the line passes through the points (3,0) and (0,-2).

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].

The slope of the line that passes through these points is:

[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]

List the smallest three values in the set below. {x | x ∈ E and x < 30}

Answers

Answer:

Step-by-step explanation:

Notation

We need some notation to make talking about sets easier. Consider,

A

=

{

1

,

2

,

3

}

.

f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]

Answers

f(x) = 3/x+2 - √x - 3

We can put any value of x so, let x be 3

f(3) = 3/3 + 2 - √3 - 3

f(3) = 3/3 + 2 - √0

f(3) = 3/5 - 0

f(3) = 3/5

You can let x be any value of your choice.

Find f(-2) for f(x) = 3x2^x

Answers

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.



CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL

Answers

Answer:

65

Step-by-step explanation:

Find the product of (4z2 + 7z – 8) and (–z + 3).

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.

Answers

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

PLEASE HELP!! Please answer all if you can and show answer clearly thankyou sm if u do

Answers

Answer:

Below:

Step-by-step explanation:

A) 0.15 (0.35 + 0.40 + 0.10 + 0.15 = 1)

B) 0.45

C) 0.40

A) the total probability has to equal 1.

To find the probability of rat subtract the other animals from1:

Rat = 1 - 0.35-0.4-0.1 = 0.15

Rat = 0.15

B) probability of cat or hamster equals the sum of their probabilities:

Cat = 0.35 + hamster = 0.1 = 0.45

Answer = 0.45

C) the probability of them both picking the same = dog x dog = 0.4 x 0.4 = 0.16

Answer = 0.16

4th grade math question:

jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.

Answers

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?​

Answers

Answer:

43.2 meters

Step-by-step explanation:

Multiply the length of one piece of ribbon by 8 to determine the total length

5.4 * 8 =43.2 meters

5.4x8=43.2
answer: 43.2 meters

A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle




The numbers are a whole and a fraction that’s why there is a space

Answers

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

The answer is "The second choice".

Step-by-step explanation:

[tex]r=6\\\\h=13 \\\\[/tex]

Formula:

[tex]A=2\pi rh[/tex]

[tex]=2\times 3.14 \times 6 \times 13\\\\=2\times 3.14 \times 78\\\\=3.14 \times 156\\\\=3.14 \times 156\\\\=489.84 \approx 489.8 ft^2[/tex]

really need help quick GR5 question

Answers

Answer:

Amount won : $3,000,000

Step-by-step explanation:

Let the amount won be =100 x

Amount spent on house :

                                     [tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]

Remaining amount = 100x - 80x = 20x

Amount spent on yacht :

                                    [tex]\frac{3}{4} \ of \ 20x = 15x[/tex]

Remaining amount = 20x - 15x = 5x

Amount spent on a trip :

                                   [tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]

Remaining amount =

                         [tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]

This amount is given for charity :

                                                     [tex]\frac{5}{3}x[/tex]

But given :

           Amount given to charity is  50000

Therefore ,

                 [tex]\frac{5}{3}x = 50000[/tex]

                [tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]

Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000

The amount of money he won

100 POINTS HELP ME NOW!

Answers

Answer:

[tex]160[/tex]

Step-by-step explanation:

A rectangular prism's surface area is [tex]2(wl+hl+hw)[/tex].

2·(10·5+2·5+2·10)=160.

Answer:

a or c

Step-by-step explanation:

surry if im wrong

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