What is the nth term of the arithmetic sequence 7,5,3,1?

Answer:

34

Step-by-step explanation:

30+30+35+35+40=170

Since there are 5 numbers You have two divide 170/2=34

Glad i could help!

129.26 because 7 is over 5

Answer:0 is the answer

Step-by-step explanation:

The answer would be 0 since 0 is greater than -12.

Answer:

9^7

Step-by-step explanation:

7*2=9

Answer:

See below.

Step-by-step explanation:

Solve the equation using each of the properties listed.

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n              Distributive Property

3n + 40n - 5 = -48

43n - 5 = -48                      Addition Property of Equality

43n = -48 + 5

43n = -43                           Addition Property of Equality

n = -43/43

n = -1                                  Division property of Equality

Answer:

Guess that was the answwr

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6 x 6 = 36

10 x 10 = 100

Answer:

A

Step-by-step explanation:

6x6=36

10x10=100

Answer:

3

Step-by-step explanation:

Besides 9 and 1, 3 is one factor of 9

Factor of 9:

1 • 9

3 • 3

Answer: 3

X=-2-1/2y should be the answer

Answer:

a = -2b - 10

Step-by-step explanation:

a + 3b + 10 = b

a + 10 = -2b

a = -2b - 10

Answer:

Part a) The length of each of the sides after the dilation is

[tex]A'B'=30\ units[/tex]

[tex]B'C'=25\ units[/tex]

[tex]A'C'=35\ units[/tex]

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) What is the length of each of the sides after the dilation?

In this problem we have that the scale factor is 2.5

The scale factor is greater than 1

so

The dilation is an enlargement

To find the length of each of the sides after the dilation, multiply the original length by the scale factor

so

[tex]A'B'=AB*2.5=12*2.5=30\ units[/tex]

[tex]B'C'=BC*2.5=10*2.5=25\ units[/tex]

[tex]A'C'=AC*2.5=14*2.5=35\ units[/tex]

Part b) Draw the new image and label it

using a graphing tool

see the attached figure

Answer:

Do you still need help with this? If so just say if you do in the comments and I can probably help.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let

x -----> the number of 1/3 fraction tiles

we know that

The linear equation that represent this problem is equal to

[tex]\frac{1}{3}x=1[/tex]

Solve for x

Multiply by 3 both sides to remove the fraction

[tex]\frac{1}{3}x(3)=1(3)[/tex]

[tex]x=3[/tex]

Verify

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1[/tex] -----> is correct

Three times 1/3 is equal 1

Answer:

k^2 -3k +9/2

(k-3/2)^2

Step-by-step explanation:

k^2 -3k

Take b/2 and then square it to find the term to complete the square

(-3/2) ^2 = 9/4

k^2 -3k +9/2

The expression factors to (k-b/2)^2

(k-3/2)^2

Answer:

[tex]\large\boxed{y=-\dfrac{4}{27}(x-3)^2}[/tex]

Step-by-step explanation:

The vertex form of na equation of a parabola:

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

We have the vertex (3, 0). Substitute:

[tex]y=a(x-3)^2+0=a(x-3)^2[/tex]

A parabola passes through (12, -12). Put the coordinates of the point to the equation and solve for a:

[tex]-12=a(12-3)^2[/tex]

[tex]-12=a(9)^2[/tex]

[tex]-12=81a[/tex]             divide both sides by 81

[tex]-\dfrac{12}{81}=a\\\\a=-\dfrac{4}{27}[/tex]

Finally:

[tex]y=-\dfrac{4}{27}(x-3)^2[/tex]

Answer:

The volume of the rectangular prism is [tex]8\frac{1}{2}\ units^{3}[/tex]

Step-by-step explanation:

we know that

The Volume of a rectangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the base

L is the length of the prism

In this problem we have

[tex]B=2\frac{1}{8}\ units^{2}=\frac{8*2+1}{8}=\frac{17}{8}\ units^{2}[/tex]

[tex]L=4\ units[/tex]

substitute

[tex]V=(\frac{17}{8})(4)=\frac{17}{2}=8\frac{1}{2}\ units^{3}[/tex]

Answer:

[tex]\large\boxed{f(x)=(x+8)^2-110}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110[/tex]

The function f(x)=x^2+16x-46 can be rewritten by completing the square to achieve the vertex form of the function: f(x)= (x+8)^2 - 110. After rewriting, we can determine the vertex of this parabola is located at (-8,-110).

The problem asks you to rewrite the function f(x)=x^2+16x-46 by completing the square. This involves manipulating the quadratic formula to write it in the form f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola.

So, let's start by rearranging the original function:

f(x)=x^2+16x-46

The coefficient of x is 16; halving this, we get 8. Then we add and subtract (which means adding 0, so we don't change the equation) this within the square to complete the square:

f(x)= (x^2+16x+64) - 64 - 46

Then, the equation can be written as:

f(x)= (x+8)^2 - 110

This is the vertex form of the function. We can see that the vertex of the parabola is at (-8,-110).

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C

the answer should be C because the 45.75 represents the price of the fruit trees and if x was 88 that means there are 88 fruit trees

pls mark brainliest!!

Answer:

The correct option is C.

Step-by-step explanation:

the ratio would be 3/4 : 1

Final answer:

The ratio of Russel's weight to Brooke's weight, given that Russel's weight is 3/4 of Brooke's, is 3:4.

Explanation:

The student is asking how to find the ratio of Russel's weight to Brooke's weight given that Russel's weight is 3/4 of Brooke's weight. To find this ratio, it's straightforward since the value 3/4 already represents the ratio of Russel's weight to Brooke's weight.

Therefore, the ratio of Russel's weight to Brooke's weight is 3:4. This simply means that for every 3 parts of weight that Russel has, Brooke has 4 parts of weight. Ratios are usually expressed in simplest form, and since 3/4 is already in its simplest form, we use it as it is.

Answer:1/3  <  1 8/35  <  5/4

Step-by-step explanation:

Showing Work

Rewriting as fractions if necessary:

43/35, 1/3, 5/4

The least common denominator (LCD) is: 420.

Rewriting as equivalent fractions with the LCD:

516/420, 140/420, 525/420

Ordering these fractions by the numerator in order from least to greatest:

140/420 < 516/420 < 525/420

Therefore, your input in order from least to greatest is:

1/3 < 1 8/35 < 5/4

Answer:

Option C

Step-by-step explanation:

Given in an inequality in variable x as

[tex]3.5x>7[/tex]

In Algebra 3.5x represents the product of 3.5 with x

So the given inequality is equivalent to

the product of 3.5 and a number x is greater than 7.

Hence option C is right

C) The product of 3.5 and a number is greater than 7

Answer:

The product of 3.5 and a number is greater than or equal to 7.

Step-by-step explanation:

Answer:

Its would be number 2

Step-by-step explanation:

Population size: 9

Median: 14

Minimum: 4

Maximum: 19

First Quartile: 7

Third Quartile: 18

Interquatile Range: 11

Answer: Number 2

Step-by-step explanation:

just did the test its the second one in your image.

At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.

You can get an order of chips and two tacos for $9.25.

1 Chips + 2 Tacos = 9.25

The cost for two orders of chips and five tacos is $21.75.

2 Chips + 5 Tacos = 21.75

First equate the coefficient - in this case x:

(x + 2y = 9.25) * 2 = 2x + 4y = 18.50

2x + 4y = 18.50

2x + 5y = 21.75

Minus the equations from each other to remove the coefficient you equated:

(2x + 5y) - (2x + 4y) = 21.75 - 18.50

(2x - 2x) + (5y - 4y) = 21.75 - 18.50

1 Taco = $3.25

y = 3.25

Substitute this into the equation.

x + 2y = 9.25

x + (2 * 3.25) = 9.25

x + 6.50 = 9.25

Rearrange to find x:

x = 9.25 - 6.50

x = 2.75

Chips = $2.75

Answer:

7

Step-by-step explanation:

Again just cross multiplication.

84 = 12m

Divide each side by 12.

m = 7.

Answer:

54π in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here r = 3 and h = 6, thus

V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value

Answer:

I like dogs because its much fun to play with them, instead of a cat and you can go on a walk with them.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Part A: You can solve the equations for an x value which make both true. You do this by setting each equation equal and using inverse operations.

2x = 4x - 2

2x - 4x = 4x - 4x - 2

-2x = -2

x = 1

Part B: You can make a table by substituting the values -4 to 4 in each equation and simplifying.

x     y = 2x      y = 4x - 2

-4           -8            -18

-3           -6             -14

-2           -4             -10

-1             -2            -6

0              0             -2

1               2              2

2              4              6

3              6              10

4              8              14

Part C: You can graph each equation and where they intersect will be the solution. They intersect at (1, 2). This is where they have the exact same x and y value in the table as well.

Answer:

When X= 1 both graphs are in (1,2)

Step-by-step explanation:

In order to evaluate the first part, where the lines intersect is you just have to equalize in opposite sides of the equation both equations:

2x=4x-2

Then you have to clear the x

2x-4x=-2

-2x=-2

x=[tex]\frac{-2}{-2}[/tex]

x=1

So your coordinates are x=1, and the Y coordinate you just evaluate one of the equations:

y=4x-2

y=4(1)-2

y=4-2

y=2

So your coordinate for y=2.

Part B, table.

To evaluate this, you just make a table, giving values to x, and you evaluate the Y:

X----Y

-4    -8

-3    -6

-2    -4

-1     -2

0      0

1       1

2      4

3     6

4     8

Part C.

YOu just hava to put it into the graph by evaluating with the tables above.

Answer:

0.0837 ,  0.088 ,  0.8 ,  0.84

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The perimeter of the figure is the total distance around the figure.

Add each side to find the total distance.

10 + 8 + 8 + 2+2 + 6 = 36

Answer:

the second one

Step-by-step explanation:

Just put the equation in the quadratic formula but first get it in the ax^2+bx+c=0 form for that take 1 to the other side and subtract it

[tex]8x^2-2x-1\\a=8,b=-2,c=-1[/tex]

the quadratic formula is shown in the picture along with the rest of the working

the answer is the second option :)

hope this helps, best of luck graduating :)

Answer:   [tex]\bold{\dfrac{2\pm \sqrt{36}}{16}}[/tex]

Step-by-step explanation:

[tex]8x^2-2x-1=0\quad \rightarrow \quad a=8,\ b=-2,\ c=-1\\\\\\Quadratic\ formula: x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(8)(-1)}}{2(8)}\\\\\\.\ =\dfrac{2\pm \sqrt{4+32}}{16}\\\\\\.\ =\dfrac{2\pm \sqrt{36}}{16}[/tex]

Answer:

Part A) The legs have already been given. I’m looking for the hypotenuse

Part B) [tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) The missing length is [tex]81.93\ in[/tex]

Part D) [tex]82\ in[/tex]

Step-by-step explanation:

Part A) What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?

we know that

Applying the Pythagoras Theorem

[tex]c^{2}=a^{2} +b^{2}[/tex]

where

c ----> is the hypotenuse of the right triangle

a and b -------> are the legs of the right triangle

In this problem we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

so

The legs have already been given. I’m looking for the hypotenuse

Part B) Set-up your equation by substituting the correct numbers in to the formula

we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

substitute in the Pythagoras Theorem and solve for c (hypotenuse)

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) Solve for the missing length

we have

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

solve for c

[tex]c^{2}=1,600 +5,112.25[/tex]

[tex]c^{2}=6,712.25[/tex]

[tex]c=\sqrt{6,712.25}\ in[/tex]

[tex]c=81.93\ in[/tex]

Part D) What is the size of the television rounded to the nearest whole inch (whole number)?

[tex]81.93=82\ in[/tex]

The Pythagorean Theorem is used to find the size of the TV, which is the hypotenuse in this scenario and equals to approximately 82 inches when rounded to the nearest whole inch.

Since we've set up our equation as 71.5^2+40^2=c^2, we can now simply solve for c, which is our hypotenuse, and in this case, represents the size of the television.

To do so, calculate the square of both given sides and add them: (71.5)^2 + (40)^2 = 5112.25 + 1600 = 6712.25.

The next step is to take the square root of that sum to get the length of the hypotenuse/c: sqrt(6712.25) = ~81.94 inches

Part D: Now, to answer the final part of your question, if we round this result to the nearest whole inch, we get 82 inches as the size of the new television.

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