2.Find the next number in the sequence: 1,−1,3,−5,11,−23,...

Answer:

see explanation

Step-by-step explanation:

Inequalities of the form | x | < a have solutions of the form

- a < x < a

Given

| x - 4 | < 3 , then

- 3 < x - 4 < 3 ( add 4 to the 3 intervals )

1 < x < 7

Thus x > 1 or x < 7

The solution of the given inequality is x < 7 or x > 1.

To solve the inequality Ix - 4| < 3, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x - 4 > 0

In this case, we don't need to consider the absolute value because the expression inside it is already positive.

So we have:

x - 4 < 3

Adding 4 to both sides:

x < 3 + 4

x < 7

Case 2: x - 4 < 0

In this case, the expression inside the absolute value is negative, so we need to negate it when removing the absolute value. Therefore, we have:

-(x - 4) < 3

Expanding the negation:

-x + 4 < 3

Subtracting 4 from both sides:

-x < 3 - 4

-x < -1

Dividing both sides by -1 and flipping the inequality sign:

x > 1

Combining the results from both cases, we have the solution:

x < 7 or x > 1

In interval notation, the solution is (-∞, 1) U (7, +∞).

Hence the solution of the given inequality is x < 7 or x > 1.

Learn more about inequality click;

https://brainly.com/question/28823603

#SPJ7

Answer:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]

Step-by-step explanation:

If we call "x" the number of call minutes used with this plan, the piecewise function used to describe it must represent;

a) a constant value of 29 for any x value smaller than or equal to 250

b) a line with positive slope of 0.35 for the region with x larger than 250. The mathematical representation of such increasing straight line, should be given by a line of slope m = 0.35, and containing the point (250, 29) which is the starting point for this right hand side portion of the domain:

[tex]f(x)=0.35(x-250)+29\\f(x)=0.35 x-87.5+29\\f(x)=0.35 x-58.5[/tex]

So the function should look like:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]

or as shown above, in a more simplified form:

[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {0.35x-58.5\,\,\,for \,\,x>250}} \right.[/tex]

Answer:

4.5 ft

Step-by-step explanation:

Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,

18/x = 8/2

Let's solve for x as required.

We have,

18/x = 8/2

=>Cross multiply:

18 × 2 = 8 × x

36 = 8x

=>Divide both sides by 8

36/8 = x

4.5 = x

x = 4.5 ft

The first option is our answer = 4.5 ft

Answer:

-2, 1 Maximum

Step-by-step explanation:

Answer:

A = 236,000 (1.04)^t

population in 2009 : 335,902 people

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form) = 4/100 = 0.04

t= years passed from 2000

A = population after t years  

Replacing with the values given:  

A = 236,000 (1+ 0.04)^t

A = 236,000 (1.04)^t

Population in 2009.

t = 2009-2000 = 9  

A = 236,000 (1.04)^9

A = 335,902 people

Feel free to ask for more if needed or if you did not understand something.  

Answer:

25, 26, 27

Step-by-step explanation:

78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,

The codes for each country are 25, 26 and 27.

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Let three consecutive integers are n-1, n, n+1.

Then,

the sum of three consecutive integers is 78.

According to the question,

n - 1  + n + n + 1 = 78

3n = 78

n = 26

The integers are 25, 26 and 27.

Therefore,  integers are 25, 26 and 27.

To learn more about the integers;

brainly.com/question/1768254

#SPJ2

Answer:

x=2 and x=-5

Step-by-step explanation:

factoring the equation

x^2+6x-4-3x-6=0

x^2+3x-10=0

(x-2)(x+5)=0

x=2  and x=-5

Answer:

47. 1 inches ; where inches ⇒ units

Step-by-step explanation:

Consider the Circumference as such;

[tex]Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches[/tex]

From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units

Answer:

47. 1

Step-by-step explanation:

The equation for the circumference of a circle is C = pi X diameter.

Answer:

9 blocks

Step-by-step explanation:

The answer is D, 9.

Just count the blocks.

Answer:

30 cm

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

60pi = 2* pi *r

Divide each side by 2pi

60/2pi = 2 pi r/ 2pi

30 =r

Answer:

Step-by-step explanation:

circumference , c = 60[tex]\pi[/tex] cm

we know circumference of a circle = 2[tex]\pi[/tex]r

ie  2*[tex]\pi[/tex]*r=60[tex]\pi[/tex]

ie   2r=60

radius = 30cm

hope it helps you..

Step-by-step explanation:

x:y=3:7

x+y=180

3+7=10

180/10=18

to find x

18*3=54

x+10+z=180

54+10+z=180

64+z=180

z=180-64

z=116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A cyclic quadrilateral is shown.

x / y = 3 / 7

y = 7x / 3

We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then the equation will be

x + y = 180°

x + 7x/3 = 180°

10x/3 = 180°

x = 54°

Then another equation is given as,

x + 10° + z = 180°

54° + 10° + z = 180°

z = 116°

The measure of angle z of the cyclic quadrilateral will be 116 degrees.

More about the cyclic quadrilateral link is given below.

https://brainly.com/question/15061291

#SPJ2

The complete question is attached below.

Answer:

about 1 and 3/10

Step-by-step explanation:

i may be wrong

tell me if i am wrong

sorry

Answer: c. 301 cm2

Step-by-step explanation: a p e x

Hi there

I think I may have the answer for you!

Answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please make sure to check my answer and mark it/

Jake

There are 7,920 different ways can the students finish first, second, third, and fourth.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eleven students are competing in an art contest.

Now,

Since, Eleven students are competing in an art contest.

Hence, We get;

Number of ways = 11 x 10 x 9 x 8

                          = 7,920

Thus, There are 7,920 different ways can the students finish first, second, third, and fourth.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

I believe you just multiply all the values together

3 x 3 x 9 = 81

You can make 81 different pizzas

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

The number of different pizzas Can I make is 81.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3\times 3\times 9[/tex]

= 81

Therefore we can conclude that The number of different pizzas Can I make is 81.

Learn more: brainly.com/question/17429689

Answer:

22.4 cm^2

Step-by-step explanation:

Area of a parallelogram= base x height

or bxh

here base is 8cm and height is 2.8cm so,

Area = 8x2.8

= 22.4 cm^ 2

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

Answer: - 1 3/4

Step-by-step explanation: You have to keep the first number and flip the second number, and you end with -1 3/4

PLEASE MARK BRAINLIEST

Answer:

Step-by-step explanation:

I think it is 3,347. Because the curb weight is just the car without humans

Given that the curb weight of a new car is = 3347 pounds

Now we have to find the correct choice for the given weight of the car.

Given value is in pound while the choices are in ton.

Units are different so first task will be to get same units.

We know that 1 ton = 2000 pound

so to convert 3347 pound into ton, we will divide 3347 by 2000 and get 1.6735 ton.

Which lies between 1 and 2.

Hence final answer will be (c) between 1 and 2 tons.

Answer:

Correct

also can u mark as brainliest Please I just need one moreeee

Step-by-step explanation:

Answer:

Angle 2, angle 3 and angle 4 will measure 60°

Step-by-step explanation:

From the figure attached,

'l' and 'm' are parallel lines and 't' is the transverse line.

m∠1 = m∠2 = 60° [Vertical angles]

m∠1 = m∠3 = 60° [Corresponding angles]

m∠1 = m∠4 = 60° [Alternate exterior angles]

Therefore, angle 2, angle 3 and angle 4 will measure the same as angle 1.

Answer:

I think it's <-3,-5>

also, you may want to delete the picture somehow since your email address is showing in you top tabs...

Answer: 12(X+8)=240

Step-by-step explanation: We then would have to do the distributive property and you end with 12x+96=240

Subtract 96 from each side

Then you end with

12x=144

You then divide 12 from each side and see that X=12!

Hope this helps

P.S. It would mean a lot if you marked brainliest

Answer:

9 in hundredths place

Step-by-step explanation:

2.693 count from 6 in tenth and 9 in hundredths

Answer:

9

Step-by-step explanation:

2.693

2 is the ones place

the . is the decimal point

6 is the tenths place

9  is the hundredths place

3 is the thousandths place

Answer:

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

[tex]3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}[/tex]

3^2 ; Option B

Answer:

The answer would be [tex]3^{2}[/tex].

Step-by-step explanation:

-Solve the following equation:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

-When dividing integers, the exponents would subtract each other. So, you subtract exponent [tex]0[/tex] and [tex]4[/tex]:

[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

-Simplify [tex]3^{4}[/tex] by the exponent [tex]2[/tex]:

[tex]3^{-6} \times ( 3^{4})^{2}[/tex]

[tex]3^{-6} \times 3^{8}[/tex]

-When multiplying integers, the exponent would add up together. So, you would add [tex]-6[/tex] and [tex]8[/tex]:

[tex]3^{-6} \times 3^{8}[/tex]

[tex]3^{2}[/tex]

So, the answer is [tex]3^{2}[/tex].

Answer:

One sec

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-4x=1

it crosses y-axis where x=0

y-4(0)=1

y=1

so point is (1,0)

y=2x+c

∵(0,-3) lies on it.

-3=2(0)+c

c=-3

so y=2x-3

∵(k,10) lies on it.

10=2k-3

2k=13

k=13/2

Answer:

[tex]\frac{-c+d}{b}[/tex]

Step by Step:

Step 1: Subtract c from both sides:

ab + c + (−c) = d + (−c)

ab = −c + d

Step 2: Divide both sides by b:

[tex]\frac{ab}{b} = \frac{-c+d}{b}[/tex]

Step 3: Simplify:

a = [tex]\frac{-c+d}{b}[/tex]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

    A B   =   [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]

    A B =   [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]

   AB   = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]

  AB    =  √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

Answer:

1

Step-by-step explanation:

Just finished Quiz 4: Complex Numbers, of which this was one of the questions.

Answer:

-8.5

Step-by-step explanation:

17/2 = 8.5

f = 8.5

f -1(17) = 8.5 -17 = -8.5

-8.5 is your answer

The value of [tex]f^{-1}(17)[/tex] is 2.

From the definition of function we know that if f(x) = y , where x and y are two real values having range of (-∝,+∝) , then

[tex]f^{-1}(y) = x[/tex]

Thus in the problem, it is given that f(2) = 17 .

Using the above identity, we can find the value of [tex]f^{-1}(17)[/tex]

∴  [tex]f^{-1}(17) = 2[/tex]

To learn more about properties of function, refer -

https://brainly.com/question/11624077

#SPJ2