Write an explicit formula for An, the nth term of the sequence 1, -2, 4, ....

Answer:

Gretas car gets better gas mileage

Step-by-step explanation:

18 km= 18,000 miles

18,000>28

So, Gretas car gets better gas mileage

Hope this help!

Answer:

3/2f = 2e

Step-by-step explanation:

The equation is Written has this (3/2f = 2e)

Answer:

[tex]\frac{2}{3} f=2e[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *9=6[/tex] ~ this is an example of the answer being used to be multiplied by [tex]f[/tex] to get the result which is listed through [tex]e[/tex]. This example is Batch B, cups of flour was 9. 9 multiplied by [tex]\frac{2}{3}[/tex] will lead us to 6 which is the number of eggs used in Batch B.

Hope this helps!

Answer:

4 times faster

Step-by-step explanation:

From the above question, we have the following information

Let us represent the Distance traveled by Abigail as Y

On her skateboard she travelled two thirds of the way = 2/3Y

She walks the rest of the way home = Y - 2/3Y = 1/3Y

The time she used to walk home is twice the time she used to ride her skate board

Hence, let us represent the time she used to ride her skateboard as S

So, Time she used to walk home = 2 × S = 2S

The question is asking us, how fast ,this is = Speed

The formula for Speed = Distance/ Time

Speed for her skate board = 2/3Y/S = 2Y/3S

Speed as she walks = 1/3Y / 2S = Y/ 6S

How many times faster is Abigail on her skateboard than she is walking is calculated as :

Speed of Abigail while skating ÷ Speed of Abigail while walking

= 2Y/3S ÷ Y/6S

= 2Y/3S × 6S/Y

= 4

Therefore, Abigail was 4 times faster on her skateboard than she is walking.

Number 1: To find number 1 use hypotenuse theory. 180-(69+31) is the equation. After you solve it you get m<1 as 80.

Number 2: Since you already found m<1 find the other angle across from it.

Equation is: 180-80, which equals to 100.

Then once you have two angles use the theory again: 180-(100+45)=35.

Therefore m<2=35.

Number 3: Still using m<1, 180-100=80. Now you have to angles you get the equation:

180-(80+47), which equals to 53. Therefore m<3=53

Answers: m<1=80; m<2=35; m<3=53

Answer:

1= 80

2= 35

3= 33

Step-by-step explanation:

First start by solving for angle 1. A triangle is always equal to 180 degrees so if you know triangle 1 has an angle equal to 69 degrees and another angle equal to 31 degrees then all you would need to do is add them up (this equals 100) and subtract that sum from 180 to find the difference (it's 80.)

Now that you know angle 1 is equal to 80 you can solve angle 2 and 3. When there are intersecting lines, the angles across from each other are always equal. So, it is safe to assume that the angle across from angle 1 is also 80 degrees. This will help us figure out the other angles in triangles 2 and 3. These four intersecting angles will equal 360, therefore because angle 1 and the angle across from it equal 80 degrees, then what we can do is add up 80+80 (which equals 160) then subtract that from 360 (which equals 200.) Because the two undetermined center angles are equal to each other, we can simply divide 200 by 2 to get 100.

Now that we know that triangle 2 has angles equal to 45 and 100 degrees, and triangle 3 has angles equal to 47 and 100 degrees, we can figure out what angles 2 and 3 are. To find angle 2 we will add 45 and 100 to get 145, then we'll subtract it from 180 like before to get 35. To find angle 3 we will add 47 and 100 to get 147, then we'll subtract it from 180 like before to get 33.

Answer:

96.2*10^5 gallons

Step-by-step explanation:

gallons of milk produced by 1 cow = 2.6×10^3

No. of cows with local dairy farm =  3.7×10^3

Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm  = 2.6×10^3 * 3.7×10^3 = 9.62*10^6

we have to write it in standard form = 96.2*10^5 gallons

i can be also written as = 9,620,000 Gallons.

9.62 Million Gallons of milk is produced by local dairy farm Yearly.

Answer:

£48

Step-by-step explanation:

56 ÷ 7 = £8

56 - 8 = £48

Please let me know if my answer is correct.

Answer:

48

Step-by-step explanation:

Answer:

[tex]n + 4 - 9 - 5n[/tex]

Answer:

C.21

Step-by-step explanation:

The value of 1/ (2x³ + 3.4y) is 1/33.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction = 1/ (2x³ + 3.4y)

We have the value x= 2 and y=5.

So,  1/ (2x³ + 3.4y)

=  1/ (2(2)³ + 3.4(5))

=  1/ (2(8) + 17)

=  1/ (16+17)

=  1/ 33

Hence, the value is 1/33.

Learn more about Fraction here:

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Answer:

P = 2x² + 8x - 30

P = 12 (if x = 3)

Step-by-step explanation:

Perimeter Formula: 2l + 2w

Step 1: Find perimeter

2(2x² - 16) + 2(-x² + 4x + 1)

4x² - 32 - 2x² + 8x + 2

2x² + 8x - 30

Step 2: Plug in x = 3

2(3)² + 8(3) -30

18 + 24 - 30

42 - 30

12

Answer:

Step-by-step explanation:

The surface area of a sphere with radius r is given by

S = 4 pi r^2

for a radius of 11 units,

S =  4 pi 11^2 = 484 pi = 1520.5 sq. units

This does not correspond to any of the answers.

Please check question.

Answer:

484[tex]\pi[/tex]

Step-by-step explanation:

Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]

When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]

Then you would get 484[tex]\pi[/tex]

Answer:

m = -1/2

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the slope formula to find our slope m:

(-8, 0) x-int

(0, -4) y-int

m = (0 + 4)(-8 - 0)

m = 4/-8

m = -1/2

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~~`

[tex]h \geq 48 inches tall[/tex]

In order to ride on the ride an individual must be at least 48 inches tall.

This means that the individual must be equal to 48 inches tall.

[tex]h = 48[/tex]

and the individual could be greater than 48 inches tall.

[tex]h > 48[/tex]

So the individual could be greater than and equal to 48 inches tall.

[tex]h \geq 48[/tex]

Hope this helped you. Brainliest would be nice!

Answer: C

Step by step:

That's all!

Answer:

C.

Step-by-step explanation:

Answer:

If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n = 1. Dilating an image with a dilation factor of 1 will result to the same image and that ensures the congruency between the pre-image and the dilated image.

Step-by-step explanation:

Answer:

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

Answer:

Scalene and right

The given triangle is the right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.

Hence, the given triangle is the right-angle triangle.

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Answer:

x = 7

Step-by-step explanation:

=> 7x+9 = 8x+2 (Corresponding angles are equal)

=> 8x-7x+2 = 9   (Subtracting 7x to both sides)

=> x = 9-2  (Subtracting 2 to both sides)    

=> x = 7

Answer:

smaller number = 5

larger number = 10

Step-by-step explanation:

Let

smaller number = x

larger number = x+5

"the smaller number is half of the larger" means

x+5 = 2x

Solve for x

5 = 2x -x = x

Therefore

smaller number = 5

larger number = 10

Answer:

The larger number is 10 and the smaller is 5 less, or 5.

Step-by-step explanation:

Represent the larger and the smaller numbers by L and S.

Then L = S + 5, and S = L/2

Substituting L/2 for S in the first equation, we get L = (L/2) + 5

Multiplying both sides by 2, we get 2L = L + 10, or L = 10.

The larger number is 10 and the smaller is 5 less, or 5.

Answer:

A

Step-by-step explanation:

62 +65=127

C+127=180

C=180-127=53°

so x=53°

53-y=11

y=53-11=42

Answer: A

Step-by-step explanation:

Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.

We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.

62+65+x=180             [combine like terms]

127+x=180                   [subtract 127 on both sides]

x=53

Now that we have x, we can find y by plugging in.

53-y=11                         [subtract both sides by 53]

-y=-42                           [divide both sides by -1]

y=42

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Consider the ratio of corresponding coordinates of the image to original, that is

scale factor = [tex]\frac{2}{10}[/tex] = [tex]\frac{-3}{-15}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

The answer Is 10.20

Step-by-step explanation:

d = \/(0-(-2))² + (-6-4)²

d = \/(0+2)² + (-10)²

d = \/(2² + 100)

d = \/(4+100)

d = \/104

d ~ 10,20

Step-by-step explanation:

by using distance formula it is easily calculated

Answer:

15

Step-by-step explanation:

Answer:

remove insulation ,,,eat low on the food chain

Step-by-step explanation:

u can reduce it by 8 pounds

Answer:

remove insulation

Answer:

Step-by-step explanation:

Law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)

Used to find: the angles of a triangle when we know all three sides

We are looking for: Angle Q. The side opposite Angle Q (30) can be c. Line segments RQ and QS are a(17) and b(18).

30^2 = 18^2 + 17^2 - 2(17)(18) cos (q)

Answer:

B, C, and F

Step-by-step explanation:

There's a certain universal property that we must all understand whenever we apply division: we can never divide by 0. This would be considered undefined.

Look at the answer choices.

- B says 0/0, which is dividing by 0, so this is one of our answers.

- C says -8/0, which is also dividing by 0, so this is another one of our answers.

- Finally, F says 11/0, which is dividing by 0, so this is our last answer.

Thus, the answers are B, C, and F.

~ an aesthetics lover

Answer:

See below.

Step-by-step explanation:

To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.

So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.

Graph 3 - not a function.

Graph 4 - not a function.

Graph 5 - not a function.

Graph 6 is a function.

Using trigonometric relations, it is found that:

[tex]\sin{\alpha}\cos{\alpha} = 0.22[/tex]

We are given that:

[tex]\sin{\alpha} + \cos{\alpha} = 1.2[/tex]

Hence:

[tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex]

The basic relation is:

[tex]\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1[/tex]

Hence:

[tex](1.2 - \cos{\alpha})^2 + \cos^{2}{\alpha} = 1[/tex]

[tex]2\cos^{2}{\alpha} - 2.4\cos^{\alpha} + 0.44 = 0[/tex]

Which is a quadratic equation, with coefficients [tex]a = 2, b = -2.4, c = 0.44[/tex].

Using a quadratic equation calculator, and considering that the cosine has to assume a value between 0 and 1, it is found that the solutions are:

[tex]\cos{\alpha} = 0.9742, \cos{\alpha} = 0.2258[/tex]

Since [tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex], there are two solution pairs:

[tex](\sin{\alpha}, \cos{\alpha}) = (0.9742, 0.2258)[/tex]

[tex](\sin{\alpha}, \cos{\alpha}) = (0.2258, 0.9742)[/tex]

They result in the same multiplication result, hence:

[tex]\sin{\alpha}\cos{\alpha} = 0.9742(0.2258) = 0.22[/tex]

To learn more about trigonometric relations, you can take a look at https://brainly.com/question/24680641

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

Answer:

I got x<3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Add 5 to both sides.  Then:  3x < 9 and x < 3.

The solution is the area to the left of x = 3 (but not touching x = 3).

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices.  Thanks.