Find the 10th term in the sequence.

1/2, -1, 2, -4

1. 512
2. 125
3. -256

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]

[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]

[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]

[tex]\\ \rm\longmapsto 108-36[/tex]

[tex]\\ \rm\longmapsto 72[/tex]

Answer:

Length = 14 yd

Width = 5.5 yd

Step-by-step explanation:

Let width = x and length = 2x + 3

The formula for area is length x width.

(2x + 3) ( x ) = 77

2x² + 3x - 77 = 0

-77 x 2 = -154

What two numbers multiply to -154 and add to 3?

2x² + 14x - 11x - 77 = 0

2x (x + 7) - 11 (x + 7) = 0

(2x - 11) (x + 7) = 0

x = -7 (this isn't possible so ignore it)

x = 5.5 (width)

Now insert 5.5 into the initial equation.

2 (5.5) + 3 =

11 + 3 = 14

Answer:

Length is 3

width is 25•66

Step-by-step explanation:

Hope it helps!

Thanks.

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

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Answer:

47.2

Step-by-step explanation:

Answer:CD is 4

Step-by-step explanation: ham

Answer:

2/5

Step-by-step explanation:

you multiply the denominators and numerators so

4 * 1 and 5 *2 leaving you with

4/10

since it says simplify you would just divide by 2 leaving

2/5

Answer:

36 different combinations

Step-by-step explanation:

3 colors * 6 types * 2 sizes

3*6*2 = 36 different combinations

36 typewriters are required for a complete display

Given :

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes

Colors =3

Styles =6

sizes =2

To find number of typewriters required we multiply the colors , styles and sizes available

Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]

36 typewriters are required for a complete display

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Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

Answer:

x= 11

Step-by-step explanation:

4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)

4x-3x =3+8

x =11

9514 1404 393

Answer:

  4 in 3492 is 100 times 4 in 704

Step-by-step explanation:

To find the value of a particular digit, set the other digits to zero.

  4 in 3492 = 400

  4 in 704 = 4

The first 4 is 100 times the value of the second 4.

9514 1404 393

Answer:

  C.  60%

Step-by-step explanation:

Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.

  3/5 × 100% = 60% . . . fraction of bowls that can be included

Answer:

C. 3x²-12x+y

Step-by-step explanation:

2x − 6y + 3x² + 7y − 14x =

3x²+2x-14x-6y+7y =

3x²-12x+y

Answer:

6 angles.

Step-by-step explanation:

This shape is a hexagon, since it has 6 sides. And because it has 6 sides, it has 6 vertexes, also known as angles.

Hope this helps!

Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

Answer:

3 years

Step-by-step explanation:

let the number of years required be x

hence

42+x+44+x = 4(7+x+5+x+2+x)

86+2x = 4(14+3x)

86+2x = 56+12x

2x-12x = 56-86

-10x = -30

x = 3

Answer:

the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again

Answer:

answer is 2. thank you. have a nice day

Answer: x = 5

Step-by-step explanation:

Given information

The combined angle is a right angle meaning it is 90°

Angle 1 = 8x°

Angle 2 = 50°

Set equation

Angle 1 + Angle 2 = Total angle

Substitute values into the equation

8x + 50 = 90

Subtract 50 on both sides

8x + 50 - 50 = 90 - 50

8x = 40

Divide 8 on both sides

8x / 8 = 40 / 8

x = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

interest

[tex]\\ \rm\longmapsto 17000\times 8\%[/tex]

[tex]\\ \rm\longmapsto 17000\times \dfrac{8}{100}[/tex]

[tex]\\ \rm\longmapsto 170(8)[/tex]

[tex]\\ \rm\longmapsto 1360[/tex]

[tex]\\ \rm\longmapsto 17000+1360=18360[/tex]

Option C is correct

The differential of

[tex]w = x \sin(2yz^4)[/tex]

is

[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]

where the partial derivatives are

[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]

So the differential dw is

[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]

Answer:

6 tablespoons of baking soda

Step-by-step explanation:

There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.

1.5 * 4 = 6

Best of Luck!

Answer:

3 Tablespoons, 6 teaspoons

Step-by-step explanation:

In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)

There are:

3 teaspoons = 1 Tablespoons

8 fluid ounces = 1 cup

So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...

1.5 * 4 = 6

You need 6 teaspoons or 3 Tablespoons,...

Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!

the answer would be B.

2 + 4i  goodluck !! :))

Answer is B because it makes the most sense

Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:

The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.

Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.

A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:

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Answer:

it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067

Step-by-step explanation:

In other words  (2÷5) ÷ (2÷3)

Hope that answers your question!

Answer:

7

Step-by-step explanation:

pretty sure its seven

Answer:

Lt is very easy answer u can't

Answer:

[tex]\frac{1}{x-6}[/tex]

Step-by-step explanation:

[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18