the question is in the picture

Answer:

x > -2/3

Step-by-step explanation:

[tex]\frac{x}{2} +\frac{1}{3} > 0[/tex] , subtract 1/3 from both sides

[tex]\frac{x}{2} > \frac{-1}{3}[/tex] , multiply both sides by 2

[tex]x > \frac{-2}{3}[/tex]

Answer:

Optiom B

Step-by-step explanation:

If you use sine rule here, you'll find the other two sides

for the angle, do 180-24-115 = 41

Answered by GAUTHMATH

I'm guessing the power series given is

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]

which you can condense somewhat into

[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]

You should recognize this as a geometric series, which converges for

[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]

Answer:

$310

Step-by-step explanation:

The first step is to add the costs of the textbook together :

$68.41 + $105.35 + $72.49 + $59.91 = $306.16

In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero

The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

Answer:

99

Step-by-step explanation:

First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

Answer:

Simplifying

Simplifying

21 + x = 70

Solving

21 + x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + x = 70 + -21

Combine like terms: 21 + -21 = 0

0 + x = 70 + -21

x = 70 + -21

Combine like terms: 70 + -21 = 49

x = 49

Simplifying

x = 49

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21 + x = 70}[/tex]

[tex]\large\textsf{x + 21 = 70}[/tex]

[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]

[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]

[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]

[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]

[tex]\large\textsf{x = 70 - 21}[/tex]

[tex]\large\textsf{\bf x = 49}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x=6, y=4, z=8

I hope this is helpful!

I think the answer is c in which graph shown in the above

Answer:

see attached, x>=1

Step-by-step explanation:

I don't know how you want it solved but, I am giving u -2 I hope this helps

Explanation in pictures.

Hope this helps!! Have a good day!

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

Answer:

0,458$

Step-by-step explanation:

Answer:

√(p²-1)

Step-by-step explanation:

sin (27°) = √(p²-1) / 1

= √(p²-1)

Answer:

-71/25

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

m = (86-15)/(1 -26)

   = 71/-25

  = -71/25

Answer:

[tex]\displaystyle m = \frac{-71}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

Step 2: Find slope m

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

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3

Answer:

202.5

Step-by-step explanation:

[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]

9 x 45 = 405 → 2L=405

L=[tex]\frac{405}{2}[/tex] → L = 202.5

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

Answer: -5 < x _< 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

yes, it is B

Step-by-step explanation:

every input value of x has an unique result value y.

there are no 2 values for x that produce the same result value y.

and there are no multiple result values possible for a subject x value.

bottom line, yes, it is a function, and a 1:1 function at that.

Answer:

no its not a perfect cube, we need to multiply a seven to make it perfect cube

Step-by-step explanation:

answer from GAUTHMATH

please mark this answer as brainlist

Answer:

Size of the original rectangle is 30*20=600

Step-by-step explanation:

Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10

ATQ, (x+20)(x+10)=2(x+10)(x), x=20.

Answer:

64 vs. 4 so 60 extra people

Step-by-step explanation:

Answer:

I think 60 more people

Step-by-step explanation:

You just plug in p for period 4 and period 2 then solve for N. Then it's asking for how many more in pd 4 then 2 which is 60, I think..

Answer:

Disagree. As long as the odd number (7) is multiplied by an even number, the sum of multiples of an odd and even number in general will add to be even.

Step-by-step explanation:

Assume you have a=7 and b=8.

Now there are 4 combinations since there are only two types of numbers: even and odd.

Combination 1 would consist of an ODD amount of multiples of a, and and ODD amount of multiples of b.

     See:  3a + 3b

              3(7) + 3(8) = 45

*Combination 2 would be an EVEN amount of a and an EVEN amount of b.

         2a + 2b

         14 + 16 = 30

HERE, in combination 2, the claim is already debunked.

Combination 3 is an ODD amount of a and an EVEN amount of b

         1a + 2b

        7 + 16 = 21

*Combination 4 is an EVEN amount of a and an ODD amount of b

         2a + 1b

         14 + 8 = 24

HERE, in combination 4, the claim is justified again

Answer:

1/3^4

1/81

Step-by-step explanation:

(3^2)^-2

We know that a^b^c = a^(b*c)

3 ^(2*-2)

3^-4

We know that a^-b = 1/a^b

1/3^4

1/81

Answer:

I. Amount = 5618 Rupees

II. Compound interest = 618 Rupees

Step-by-step explanation:

To find the compound interest;

Mathematically, compound interest is calculated using the formula;

A = P(1 + r)^t

Where;

Substituting into the formula, we have;

A = 5000(1 + 0.06)^2

A = 5000(1.06)^2

A = 5000 * 1.1236

A = 5618 Rupees

Next, we would determine the compound interest using the formula;

C.I = A - P

C.I = 5618 - 5000

Compound interest (C.I) = 618 Rupees

Step-by-step explanation:

C. 45 rounds per hour. is the answer

Answer:

D (43 Rounds Per Hour)

Step-by-step explanation:

Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.