(-1/3+1/9) • 4^2 +5/8

A.) - 2/9
B.) 32/9
C.) -59/18
D.) 73/18​

Answer: 4^9

Step-by-step explanation:

4^-7 is just 1/4^7 so this is equal to 4^2 divided by 1/4^7. Dividing by a fraction is the same thing as multiplying by its reciprocal (just flip the fraction). So this whole equation is equal to 4^2 multiplied by 4^7. And when you multiply two exponents with the same base, the exponents are just added. So, your answer should be 4^9. Hope this helps! :)

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

Answer:

1/2

Step-by-step explanation:

cot0=1/tan0

plug in tan0=2

cot0=1/2

Answer:

3.4

Step-by-step explanation:

The two triangles are congruent through AA (angle-angle proportionality theorem) therefore all the sides are congruent to each other.

In this case:

2y = 5y - 7

2y - 5y = -7

-3y = -7

y = -7/-3

y = 7/3

Answer:

really hard and strong but am interested

Answer:

a) 21.061

20+1+0.0+0.06+0.001

b)0.358

0+0.3+0.05+0.008

c)506.0201

500+0+6+0.0+0.02+0.000+0.0001

d)126.00

100+20+6

Happy New year ✨

Answer: 7.5 items

Step-by-step explanation:

Both Karen and James had 30 stocking items.

Karen bought 35% of her items;

= 35% * 30

= 10.5 items

James has bought 60%;

= 60% * 30

= 18 items

= 18 - 10.5

= 7.5 items

Answer:

ugh'

Step-by-step explanation:

12 and  4 i could be wrong sozStep-by-step explanation:

Answer:I feel like I should understand this

Step-by-step explanation:

Answer: the answer is 90 bro

Step-by-step explanation:

Answer:

2.50n

Step-by-step explanation:

If im reading this right you're trying to represent the number of n pounds, so 2.50 * n

say you had 3 pounds:

2.50 (3) = 7.50

The question is incomplete, the complete question is;

Gary's pay is $15 per hour. He receives a 6% pay raise.

Which method can Gary use to correctly calculate his new hourly pay rate?

Choose Yes or No for each method.

Answer:

Multiply 15 by 0.06 and add the result to 15 is the correct method

Step-by-step explanation:

Now when you are told to obtain the percentage, it simply means to multiply the given percentage by the number.

Here is what i mean;

6% of 15 simply means

6/100 * 15

Or

0.06 * 15 = 0.9

Since his basic pay of $15 was increased by this percentage, we have to add $0.9 so we have;

15 + 0.9 = $ 15.9

Answer:

yes

Step-by-step explanation:

2(2(3)+1) + 3= 8(3)+2-3(3)

14+3=24+2-9

17=17

Answer:

F = 7 hours

Step-by-step explanation:

Let the time taken by Frank to work alone be F.

Translating the word problem into an algebraic equation;

Thomas alone takes (F - 4) hours.

Combine time = 2.1 hours

Their individual work rate expressed in piles per hour are;

Frank = 1/F

Thomas = 1/(F - 4)

Combined rate = 1/F + 1/(F - 4)

Simplifying the equation, we have;

Combined rate = (F - 4 + F)/F(F - 4)

Combined rate = (2F - 4)/F(F - 4)

Combined rate = (2F - 4)/(F²- 4F)

Now to find the time taken when they work together is;

(2F - 4)/(F²- 4F) = 1/2.1

Cross-multiplying, we have;

2.1*(2F - 4) = F² - 4F

4.2F - 8.4 = F² - 4F

Rearranging the equation, we have;

F² - 4.2F - 4F + 8.4 = 0

F² - 8.2F + 8.4 = 0

Solving the quadratic equation by factorization;

Factors = -7 and -1.2

F² - 7F - 1.2F + 8.4 = 0

F(F - 7) - 1.2(F - 7) = 0

(F - 7)(F - 1.2) = 0

Therefore, F = 7 or 1.2 hours

The time taken by Frank alone would be 7 hours.

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

29° + (4x + 9)° + (x + 17)° = 180°

Step 2: Solve for x

Answer:

m = 12 / 6 = 2 / 1 = 2

Step-by-step explanation:

Answer:

I believe the answer is D.)13 movies per month.

Step-by-step explanation:

Answer:

D. 13 movies per month.

Step-by-step explanation:

Answer:

Concept: Sequences & Series

The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.

Next we can find the next 3 terms by just plugging in the values

We want the 6th, 7th, and 8th term

So we plug 6 in for n and 7 in for n and 8 in for n

So we get the 6th term=-243

The 7th term= 729

The 8th term= -2187

Answer:

Step-by-step explanation:

1) 1 , -3 , 9 , -27 , 81 ,...........

It is Geometric sequence

ratio = 2 term ÷ first term = -3 ÷ 1 = -3

1st term = 1

2nd term = 1 * -3 = -3

3rd term = -3 *(-3) = 9

4th term = 9 *(-3) = - 27

6th term = 81 *(-3) = -243

7th  term = -243 *(-3) =  729

8th term = 729 *(-3) = -2187

Next 3 terms:  - 243 , 729 , - 2187,....

4)

[tex]\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\[/tex]

Next 3 terms are : 3/32 , 7/128 , 1/32

Answer:

73.58

Step-by-step explanation: This is just a guess so I may be wrong. So when I put this into the calculator, it is showing a big number: 73.58485333 so what I did was round it to the nearest hundredths which is 73.58 so hope this helps somebody :)

Answer:x-5

Step-by-step explanation:

-6(2x+1)=54

Distribute:

-12x-6=54

Add 6 on both sides:

-12x-6+6=54+6

-12x=60

Divide 12 on both sides:

-12x/-12=60/-12

x=-5

Answer:

(2 x 10) + (1 x 1) + (0 x 0.1) + (6 x 0.01) + (1 x 0.001).

Answer:

a

Step-by-step explanation:

The segment  RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is

RS = RU , substitute values

8x = 6x + 5 ( subtract 6x from both sides )

2x = 5 ( divide both sides by 2 )

x = 2.5

Thus

RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a

Step-by-step explanation:

if negative sign is there we must add and if positive sign is there subtraction should be written there.....

Answer:

y=2/3x -10

Step-by-step explanation:

y= m x + b

m=slope

slope = 2/3

b= y-intercept

plot point (9,-4) and count down two, left three, until reach y axis.

Answer:

5

Step-by-step explanation:

12-7=5

Answer:

5

Step-by-step explanation:

We know that x is equal to 7. That means we can replace x with this value. This makes our new expression:

12 - 7

12-7 is equal to 5, so this expression will equal 5 when x = 7.