[(-2)⁴ + 3.(3² - 1)]: [(-2)³ + 3.2² ]

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Work Shown:

17 + x^2 = 42

x^2 = 42-17

x^2 = 25

x = sqrt(25)  or  x = -sqrt(25)

x = 5 or x = -5

Answer:

a=14

b=9.9

Step-by-step explanation:

for a.....

sin 45 = opposite/hypotenuse

sin 45 = (7√2)/a

make a the subject of the formula....

a = (7√2)/sin 45

a = 14

for b.....

tan 45 = opposite/hypotenuse

tan 45 = (7√2)/b

make b the subject of the formula...

b = (7√2)/tan 45

b = 9.9

Answer:

1, 2, 3

Step-by-step explanation:

1 + 2 + 3 = 6

1 * 2 * 3 = 6

Answer:864

Step-by-step explanation:

36*24=864

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

The nearest tenth, the total volume of the orange is approximately 33.5 cubic inches.

To find the volume of a sphere, we use the formula:

[tex]Volume = (4/3) \times \pi \times radius^3[/tex]

Given that the radius of the orange is 2 inches, we can substitute this value into the formula:

[tex]Volume = (4/3) \times 3.14 \times 2^3[/tex]

Simplifying this calculation:

[tex]Volume = (4/3) \times 3.14 \times 8[/tex]

Volume = 33.49333333..

Note: To calculate the volume of a three-dimensional object, you need to know the appropriate formula based on the shape of the object.

Here are the formulas for calculating the volume of some common three-dimensional shapes:

Sphere: Volume[tex]= (4/3) \times \pi \times radius^3[/tex].

For similar question on sphere.

https://brainly.com/question/30722062

#SPJ11

f(x).g(x)

(2x-1).(3)

answer: 6x-3

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = [tex]\frac{Area}{length}[/tex]

             [tex]= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5[/tex]

Answer:

480 in^3

Step-by-step explanation:

If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.

Larger figure: 8 times 10 times 5

80 times 5=400

Smaller figure: 5 times 4 times 4

20 times 4=80

400 plus 80 equals 480 in^3

Hope I helped :)

Because the graph is starting high and going down, your answer is c- exponential decay

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

Answer:

1 + 1 = 1 is the correct answer ok

Answer:

1+1 is 2 it is wrong here in explanation it is good way to solve

Step-by-step explanation:

take 1 finger and 1 more finger how much is it 2 ! ok so bye do good work !!!

Answer:

97,988.216

Step-by-step explanation:

So, we can find this by using the following formula:

First value(change)^time

We know that the orginal, or first value, is 120,000.

We know that the time interval for this is 8 years, which is our time value.

We know that the decrease in this price is 2.5%. However, this is not our change.

Our change is the 97.5% price that is left.

This makes sense, because you would get a super small price when you use 2.5% as change.

So to sum up what we have done so far:

First value - 120,000

Change - 100%-2.5% = 97.5%. In decimal form: 0.975

Time - 8

So lets plug these into:

[tex]First_.value(change)^t^i^m^e[/tex]

=

[tex]120,000(0.975)^8[/tex]

And remember your order of operations here.

We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.

We have the exponent 8, which is attached to the 0.975.

So in your calculator, take 0.975, and put it to the 8th power.

You should get 0.816651803662261962890625

Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.

Now  our equation looks like:

120,000(0.816651803662261962890625)

We have done parethese, exponents - now we have multiplication and division.

We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:

[tex]120,000*0.816651803662261962890625[/tex]

Now multiplying this you should get:

97,998.216439471435546875

This is where you can round your answer.

I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:

97,998.22

So this is the new price of the car!

Hope this helps!

oh I did a mistake earlier , pardon ^^"

Let price after 8 years be P.

Using the compound interest formula of shrinking principal :-

P = Pₒ( 1 - R/ 100) ᵀ

P = 120, 000 ( 1 - 2.5/ 100)ᵀ

P = 120, 000 { (100 - 2.5)/ 100}ᵀ

P = 120, 000{ 97. 5/ 100 }ᵀ

P = 120, 000 {0. 975 } ⁸

P = 120, 000 { 0. 8166}

P = 97,998.216 $

Since, P is is price after 8 years

The price of the car after 8 years will be 97, 998. 216 $

Answer:

B

Step-by-step explanation:

√((-20)²+21²)=√(400+441)=√841=29

cos θ=-20/29

sec θ=-29/20

Answer:

2^3

Step-by-step explanation:

Step-by-step explanation:

cotA + tanA

= cosA / sinA+ sinA/ cosA

= cos2A + sin2A / sinA* cosA

= 1 / sinA* cosA

=1/ sinA * 1/ cosA

= cosecA *secA

=secAcosecA

[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:

Step-by-step explanation:

cotA + tanA = secAcosecA

LHS=cotA + tanA

=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]

take lcm of the denominator

=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)

=[tex]\frac{1}{sinAcosA}[/tex]

=1/sinA * 1/cosA

=cosecA*secA

=secAcosecA

therefore LHS=RHS

hence proved.

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

Answer:

sarah needs $3 more to buy the sandals

Step-by-step explanation:

Answer:

1351 hours....that question doesn't make sense though because you can only work 24 hours every day.

Step-by-step explanation:

Answer:

1351 hours

Step-by-step explanation:

You add the time of all the dates up

Answer:

1/2 chance

Step-by-step explanation:

5 and 10 can be divided down to 1/2

Answer:

0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

Answer:

We would have saved $12.

Step-by-step explanation:

First off, we know that the original price is $40.

Since the ball is 30% off, we'll multiply $40 by 70% to find the price it's sold by after the discount. 70% in decimal form is 0.70, so we would multiply 40(0.70)

40(0.70) = 28

This means that after a 30% discount, the price of the soccer ball is $28.

To find how much we saved, we would subtract $28 from $40.

40-28 = $12

$12 is the amount of money you saved.

Answer:

x = 60

Step-by-step explanation:

The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.