rewrite the inequality with absolute value sign: a) -4<x<-1
​

Answer:

[tex] \frac{ {11}^{56} }{ {5}^{18} } [/tex]

Step-by-step explanation:

[tex] {55}^{56} \times {5}^{22} \times {5}^{ - 96} [/tex]

[tex] = {55}^{56} \times {5}^{ - 74} [/tex]

[tex] = {11}^{56} \times {5}^{56} \times \frac{1}{ {5}^{74} } [/tex]

[tex] = {11}^{56} \times \frac{1}{ {5}^{18} } [/tex]

[tex] = \frac{ {11}^{56} }{ {5}^{18} } [/tex]

Answer:

B

Step-by-step explanation:

The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then

b = [tex]\frac{1}{2}[/tex] ( 180 - 35) = [tex]\frac{1}{2}[/tex] × 145° = 72.5° → B

Answer:

V=l×w×h

so the answer is 66km

11×2×3=66

Answer:

yes verified

Step-by-step explanation:

2x-y+1=0

substitute

2(2)-5+1=(0?)

4-5+1=0

yes

Answer:

Step-by-step explanation:

2371 x1.84 = 4362

4362 ÷ 36.92 = 118

the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.

Final answer: 118

Answer:

C. g(x) = -2^x

Step-by-step explanation:

----------

The function shown in the graph is C. g(x) = -2ˣ.

Exponential functions are functions where the independent variable, x is in the exponent.

Given is a graph of a  function.

The graph must be a negative function since as the value of x increases, the value of y decreases and the y value is always negative.

The graph of |x| is a straight line.

Similar in the case of x also, y = x is a straight line.

The graph of the function x² will be a parabola since the highest exponent is 2.

So the graph is that of a exponential function.

Since it is negative g(x) = -2ˣ is the required function.

Hence the required function is g(x) = -2ˣ.

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Answer:

(x-y+z)(x-y-z)

Given (x²-2xy+y²) - z²

= (x-y)² - z²

/* By algebraic identity

a²-2ab+b² = (a-b)² */

=[(x-y)+z][(x-y)-z]

/* a²-b² = (a+b)(a-b) */

= (x-y+z)(x-y-z)

Therefore,

(x²-2xy+y²)-z² =(x-y+z)(x-y-z)

Step-by-step explanation:

x

2

y

2

=x×x×y×y

xy

2

=x×y×y

h.c.f=xy

2

Answer:

3/x

Step-by-step explanation:

Quotient is a division.

3/x

Answer: 85 is 500% of 17

Step-by-step explanation:

The question means what percent is 85 of 17

= 85/17×100

= 8500/17

= 500%

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Answer:

per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s

Step-by-step explanation:

divide both sides by 55 to get one.

divide both sides by 25 to get one

THEN

to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

Answer:

x = 40°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

3x + 22 = 142 ( subtract 22 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40°

Answer:

10000+1241222+24122+907979+153647612232

1

Answer: [tex]w=\frac{33}{28}[/tex]

Step-by-step explanation:

To solve for w, we want to isolate w.

[tex]-\frac{9}{7}=-\frac{2}{3}w-\frac{1}{2}[/tex]            [add both sides by 1/2]

[tex]-\frac{11}{14}=-\frac{2}{3}w[/tex]                 [multiply both sides by -3/2]

[tex]w=\frac{33}{28}[/tex]

Now we know that [tex]w=\frac{33}{28}[/tex].

Answer:

[tex]\sf w=\dfrac{33}{28} \\[/tex]

Step-by-step explanation:

[tex]\sf -\dfrac{9}{7} =-\dfrac{2w}{3} -\dfrac{1}{2}[/tex]

First, take -2w/3 to the left side.

[tex]\sf -\dfrac{9}{7}+\dfrac{2w}{3} = -\dfrac{1}{2}[/tex]

Then, add 9/7 to both sides.

[tex]\sf \dfrac{2w}{3} = -\dfrac{1}{2}+\dfrac{9}{7}[/tex]

Make the denominators the same and add the fractions.

[tex]\sf \dfrac{2w}{3} = -\dfrac{1*7}{2*7}+\dfrac{9*2}{7*2}\\\\\sf \dfrac{2w}{3} = -\dfrac{7}{14}+\dfrac{18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{-7+18}{14}\\\\\sf \dfrac{2w}{3} = \dfrac{11}{14}[/tex]

Use cross multiplication.

[tex]\sf 2w*14=11*3\\\\28w=33[/tex]

Divide both sides by 28.

[tex]\sf w=\dfrac{33}{28} \\[/tex]

Answer:

70+30i

Step-by-step explanation:

Answer:

15.75 ft^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We know the diameter is 3 so the radius is 1/2 the diameter or 3/2

The height is 7 and we will use 3 for pi

V = 1/3 (3) (3/2)^2 *7

V = 15.75 ft^3

Answer:

the third one: Combination with repetition

Step-by-step explanation:

it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition

"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.

A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.

Number of ways to select r things from n possibilities: C (n + r − 1, r)

Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.

Therefore, the third option is correct. This is a combination with repetition problem.

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Answer:

In my opinion, I think a sum of 5.

Step-by-step explanation:

Since you are tossing two dice, you will likely get a higher value than 3.

How many ways can a 3 come up ?

1  -  2

2  -  1

How many ways can a 5 come up ?

1  -  4

2  -  3

3  -  2

4  -  1

There are four ways to roll a 5, but only two ways to roll a 3.

So a sum of 5 is more likely.

Answer:

?

Step-by-step explanation:

My last person to ask a question

Answer:

$0.76 per cup or 76 cents per cup

Step-by-step explanation:

1 pint is 2 cups

4 pints is 8 cups

We can use ratios to solve

8 cups              1 cup              

------------------ = -----------------

6.08 dollars         x dollars

Using cross products

8x = 6.08

Divide each side by 8

x =6.08/8

x=.76

Answer:

0.035m = 22.40

9514 1404 393

Answer:

  see attached for a plot

  14.44, 15.21, 3.8727² ≈ 14.99780529

Step-by-step explanation:

(3.8)² = 14.44

(3.9)² = 15.21

The root of 15 will be approximately at the spot where the line between these values crosses 15.

We can see the slope of the square function is approximately ...

  m = (15.21 -14.44)/(3.9 -3.8) = 0.77/0.1 = 7.7

Then the value we need to add to 3.8 will be ...

  (15.00 -14.44)/7.7 = 0.56/7.7 ≈ 0.0727

An approximation of the root is 3.8727.

_____

Additional comment

Here, the location we plotted for √15 is "exact." We're not sure what original approximation you're trying to better. We chose to use linear interpolation between the points (3.8, 14.44), (3.9, 15.21) to estimate the value of 'x' that would give x^2 = 15. (There are other, better, ways to refine the estimate of the root.)

Answer:

On average 10 inches

Step-by-step explanation:

1st= 24 inches

2nd= 34 inches

3rd= 44 inches

4th= 54 inches

Answers

Step-by-step explanation:

1.D

2.A

3. A

4. B

5. B

Answers!

- What is the basic economic problem that societies must solve?

       - How to allocate resources in order to best satisfy the needs and wants of people.

- In which economic system are price signals, resulting from supply and demand forces, the only determining factor for the goods and services that the economy produces?

      - a market economy

- How do property rights influence the exchange of goods and services in the market?

      - Property rights determine ownership of resources among businesses, individuals, and governments.

- A traditional economy is an economy where ____________

      - economic decisions are based on traditions, culture, and beliefs.

- Which economy has the highest level of consumer sovereignty?

      - market economy

Hope this helps! :)

Answer:

b, a, d (in that order)

Step-by-step explanation:

#1: since apples and bananas are each $0.40, to get the total cost, you would  add the number of each and then multiply by 0.4.

#2. The ratio of heads of lettuce to guests should be the same. Therefore, [tex]\frac{37}{100} = \frac{x}{275}[/tex].

#3. We can distribute to get [tex]7x-4x+32 = 56[/tex], which simplifies to [tex]3x+32=56[/tex]

Answer:

see below

Step-by-step explanation:

Profit = .40a + .40b

         = .40(a+b)

Choice b

37 heads            x heads

------------   = -----------------

100 guests            275 guests

Choice A

7x - 4(x-8) = 56

Distribute

7x - 4x +32 = 56

Combine like terms

3x +32 = 56

Choice D

Answer:

[tex]x = \frac{3y-4}{y-1}[/tex]

Step-by-step explanation:

y(x-3) = (x-4)

yx -3y = (x-4)

yx - x = 3y -4

x(y-1)= 3y -4

[tex]x = \frac{3y-4}{y-1}[/tex]

Answer:

8.44 m

Step-by-step explanation:

SohCahToa is a good way to remember that Sin = opposite/hypotenuse, Cosine = adjacent/hypotenuse and Tangent = opposite/adjacent. In this case, we have to use tangent. So tan 37° = x/11.2. Multiply both sides by 11.2 and you get tan 37° × 11.2 = x; The height of the school is x so the height of the school is 8.44 m

Answer:

3

Step-by-step explanation:

3 would be the degree of the polynomial since it has the highest degree.

Answer:

-3/2 >x

Step-by-step explanation:

-5-15>10+20x

Combine like terms

-20 > 10 +20x

Subtract 20 from each side

-20 -10 > 10+20x-10

-30> 20x

Divide by 20

-30/20 >20x/20

-3/2 >x

Answer:

-3/2 > x

Step-by-step explanation:

-5 - 15 > 10 + 20x

 ^    ^

  -20

-20 > 10 + 20x

-10    -10

---------------------

-30 > 20x

-----   -------

20     20

-3/2 > x

Hope this helped.