Evaluate.



2^−2⋅(12⋅3)−5^3



Enter your answer in the box.

Answer: 126

Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...

As you can see, 126 is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.

The smallest 3-digit number that has 2, 3, and 7 among its prime factors is 126.

The smallest 3-digit number that has 2, 3, and 7 as its prime factors can be calculated by multiplying the prime factors together. In this case, it's 2 x 3 x 7, which equals 42. This is a 2-digit number, but we're looking for

3-digit

number. The next multiple of 42 (42 x 3) gives us 126, which is a 3-digit number. So, the

smallest 3-digit

number that has 2, 3, and 7 as its prime factors is

126

.

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Add the lengths of the three sides.

P = 2x + 1 + x + 2 + 3x

P = 2x + x + 3x + 1 + 2

P = 6x + 3

Answer: The perimeter is 6x + 3

The answer is false. The alligator caught in Mississippi actually weighed 766.5 pounds.

The largest alligator ever recorded and taken in the state of Mississippi weighed 727 pounds. This is an exceptional case, as alligators usually weigh less.

Yes, the largest alligator ever recorded and caught in the state of Mississippi weighed 727 pounds. This monumental creature stands as a testament to the potential size that members of the alligator species can achieve under optimal conditions. It's always imperative to understand that different species have varied weight standards, and this is no exception when it comes to alligators. While 727 pounds may seem extraordinarily large, it's important to note that it is an extreme and not the norm for the species.

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The sum of the exterior angles of any polygon is 360 degrees. Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles. In the case of a regular nonagon, the measure of one exterior angle is 40 degrees: 360 / 9 = 40 degrees. its my best guess

In a regular nonagon, each exterior angle measures 40 degrees.

A regular nonagon is a polygon that has nine sides of equal length and nine interior angles of equal measure.

To determine the measure of each exterior angle for a regular nonagon, you can follow these steps. Recall that a nonagon is a polygon with nine sides. The sum of the exterior angles of any polygon is always 360 degrees.

Divide the sum of the exterior angles (360 degrees) by the number of sides in the nonagon (9) to find the measure of each exterior angle.

Calculate: 360 degrees ÷ 9 = 40 degrees.

Therefore, each exterior angle in a regular nonagon measures 40 degrees. This means that if you were to extend one side of a regular nonagon outward, the angle formed between that extended side and the adjacent side would measure 40 degrees.

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−2x − x + 8

Combine like terms:

-3x + 8

Hope it helps.

Answer:

-3x+8

Step-by-step explanation:

C) Core...

Hope this helps.....

Answer:

C

Step-by-step explanation:

answer option A

A.) x less than or equal to 5  ----> x<=5 , for less than symbol we shade to the left. so , inequality has an arrow pointing to the left .

B.) 4 less than or equal to x  ----> 4<=x can be written as x>=4 , for greater than symbol we shade to the right

C.) x greater than or equal to -8  ---->  x>=-8 , for greater than symbol we shade to the right

D.) x greater than 6---->  x>=6 , for greater than symbol we shade to the right

Answer:

A is correct!

Step-by-step explanation:

I went with my gut instinct. PLUS, I got it from the one above me so mark him brainliest! :D

he saves $860 per month

calculate each of his outgoings

rent = [tex]\frac{1}{4}[/tex] × $3600 = [tex]\frac{3600}{4}[/tex] = $900

food = [tex]\frac{2}{5}[/tex] × $3600 = [tex]\frac{2(3600)}{5}[/tex] = $1440

activities = [tex]\frac{1}{9}[/tex] × $3600 = [tex]\frac{3600}{9}[/tex] = $400

savings = $3600 - ( 900 + 1440 + 400 ) = $860

To add the fractions we must make the denominators = 180.

45/180 + 72/180 + 20/180 = 137/180

Expense Total = (137/180) * 3,600 = $2,740

Savings Total = (180 - 137) / 180

Savings = (43/180) * 3,600

Savings = $860

***********DOUBLE CHECK**********************

1/4=.25     2/5 = .40     1/9 = .111111

.25 + .40 + .111111   = .761111

Expenses = .761111 * 3,600 = 2,740.00

Savings = 3,600 - 2,740.00 = 860.00

Whats the two numbers?

a flat figure with 4 equal straight sides and four right angles

Answer: Hello there!

We want to find a counterexample to: "a square has four right angles" then we need to find a figure that has four right angles and is not a square.

A first example can be a cross (two segments that cut each other and are perpendicular), but let's think in a geometric shape.

Think on a square that in the middle of each side has a small semicircle; this shape still has four right angles but is not more a square.

There you have two counterexamples of the definition given.

Helen should of put 0 first, because if you're gonna divide, you need to put the product first, then one of the factoes.

So instead it should be 0÷(-7)=0

Helen's assertion that division by 0 results in 0 is incorrect. Her error lies in a fundamental mathematical principle: division by zero is undefined in arithmetic.

Dividing any number by 0 is mathematically impossible and not meaningful. It does not yield a value of 0 or any other number because the concept is not valid in standard arithmetic. When you attempt to divide by 0, you encounter mathematical inconsistency and contradiction.

In mathematics, there are well-defined rules and operations for manipulating numbers, and division by zero does not adhere to these rules. It is considered undefined, and no meaningful result can be assigned to it. Therefore, Helen's statement is not accurate, and division by zero is not equivalent to 0 in mathematics.

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the answer is  x3 + x2 - 7x - 6

step by step explanation

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-7x-6  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-7x-6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x-6

Group 2:  x3+x2

Pull out from each group separately :

Group 1:   (7x+6) • (-1)

Group 2:   (x+1) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

1.3    Find roots (zeroes) of :       F(x) = x3+x2-7x-6

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

   P      Q      P/Q      F(P/Q)       Divisor

      -1         1          -1.00          1.00      

      -2         1          -2.00          4.00      

      -3         1          -3.00          -3.00      

      -6         1          -6.00          -144.00      

      1         1          1.00          -11.00      

      2         1          2.00          -8.00      

      3         1          3.00          9.00      

      6         1          6.00          204.00      

Polynomial Roots Calculator found no rational roots

Final result :

 x3 + x2 - 7x - 6

brainliest plzz

The expression −7x + x³ −6 + x² written in standard form is x³ + x² −7x −6.

Standard form for polynomials is written from the highest degree to the lowest degree of the variables. So, the given expression −7x + x³ −6 + x² should be rearranged as follows:

Identify the term with the highest exponent, which is x³.

Then order the remaining terms by decreasing powers of x: x² comes next, followed by −7x.

Finally, position the constant term at the end, which is −6.

Putting it all together, the polynomial in standard form is x³ + x² −7x −6.

Let "a quantity" = x

the quantity is being "[added] to 6"

x + 6 is your algebraic expression.

hope this helps

~Rise Above the Ordinary

The quantity which is unknown can be represented as a variable such as x or any other letter. The plus 6 can be represented by +6. So the final answer is x+6. Hope this helps!

[tex]25(g-7)=3\\\\25g-175=3\\\\25g=178\\\\g=\dfrac{178}{25}[/tex]

Answer:

32.48 and 32.50 is the numbers which are more than 32.46 and less than 32.56 and there difference is 0.02

Step-by-step explanation:

We have given two numbers 32.46 and 32.56

We have to find two numbers which are greater than 32.46 but less than 32.56

The number 32.48 is greater than 32.46 and less than 32.56

And other number 32.50 is greater than 32.46 and less than 32.56

Now we have to find the difference of these two numbers

So difference = 32.50 - 32.48 = 0.02

The two numbers that are greater than 32.46 and less than 32.56 are 32.48 and 32.54.

What is the difference of your two numbers?

32.46 and 32.56

The numbers greater than 32.46 and less than 32.56 are:

32.47, 32.48, 32.49, 32.50, 32.51, 32.52, 32.53, 32.54, 32.55

We can choose any two numbers from the listed

32.48 and 32.54

Hence,

The difference between the two numbers is

= 32.54 - 32.48

= 0.06

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To solve for the volume of the cube, you must use the formula:

Volume = a³

"a" being an edge.

Plug in 64 for Volume

64 = a³

Note the equal sign. What you do to one side, you do to the other. Cube root both sides

∛64 = ∛a³

a = ∛64 = 4

4 inches is your answer

hope this helps

To find the length of one side of a cube with a volume of 64 cubic inches, take the cube root of the volume, which results in a side length of 4 inches.

The volume of a cube is found by cubing the length of one of its sides since a cube's sides are all equal in length. For a cube with a volume of 64 cubic inches, you can find the length of one side by taking the cube root of 64.

Steps to determine the length of one side of the cube:

We can write the first part of this problem as: What is 6.5% of $29,990.

"Percent" or "%" means "per 100" or "out of 100". Therefore

6.5 hope this helps (:

%

can be written as

6.5

100

.

When dealing with percentages the word "of" means the product of or to multiply.

Let's call the sales tax amount we are looking for

s

.

We can now write the problem as:

s

=

6.5

100

×

$

29990

s

=

$

194935

100

s

=

$

1949.35

The sales tax on the car is: $1,949.35.

The total price of the car is then:

$

29

,

990.00

+

$

1

,

949.35

=

Remember this: 4 or below let it go (round down) 5 or above give it a shove (round up)

remember your only rounding 100,000 place so leave the digit behind that

answer: 8,000,000 since it is 4 or below.

8,500,00 is the answer to the nearest 100,000 because 473 is the hundreds place and since 7 is above 5 you round up

Answer: 495

==============================================================

We want exactly 8 correct answers of false, so we want exactly 4 correct answers of true.  In short, we want something like FFFF FFFF TTTT. Because the sequence of T values is shorter than the F values, this means it's a lot easier to count out the number of ways to pick the true responses, rather than the false responses.

Consider we have 4 slots: A, B, C, D

In slot A, we can pick the number 1 through 12 to represent getting a T

For slot B, we have 11 choices because we can't reuse whatever we picked for slot A

Then for slot C we have 10 choices

Finally, slot D has 9 choices

Multiply those values out: 12*11*10*9 = 11,880

If order mattered, then we'd be done with the problem. However, order does not matter. This is because a sequence like {1, 2, 3, 4} is the same as {1,2,4,3}. The only thing that matters is that we have the numbers in the same group. We can rearrange any given group however we want.

Note that there are 4! = 4*3*2*1 = 24 ways to arrange any individual group of four items. So we have to divide the previous result 11,880 by 24 and we get: 11880/24 = 495 which is the answer

If you wanted, you can use the nCr combination formula to get this same answer. You would use n = 12 and r = 4

C) many solutions

But to be precise, there are INFINITELY many solutions.

[tex]5(n-2)=5n-10\\\\5n-10=5n-10\\\\0=0\\\\x\in\mathbb{R}[/tex]

The equation 5(n–2)=5n–10 has many solutions because any value of n will satisfy the equation as both sides of the equation match exactly.

The equation given is 5(n–2)=5n–10. Let's solve this step-by-step.

So, the answer is C.) many solutions, because any value of n will satisfy this equation.

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5b+4+10=-2

5b+14=-2

5b+14-14=-2-14          1)  subtract 14 from both sides

5b=-16

5b/5=-16/5                 2) divide by 5 on both sides

b=3 & 1/5

The answer is b = -3.2.

First, you have to add 4 and 10 together to get 14. Then, you subtract 14 from 14 and negative 2. You will get negative 16 because since the 2 is already a negative, you would just be adding two negatives. Next, the equation should look like this: 5b = -16. Now, you would divide by 5 on each side and your answer should be b = -3.2. Hope this helps!

Formula d = vt

1 3/4= 1.75

1/4=0.25

So now plug into equation

To find v first to find per hr.

v = (1.75 miles) / (0.25 hrs) =

7 miles per hr

Distance per hr

d = (7 miles/hr)(1 hr) = 7 miles

In 3 hrs ?

d = (7 miles/hr)(3hr) = 21 miles

Hey there!

Palindromes are numbers that can be written the same way backwards, such as 101 and 12321. You're looking for some numbers which are palindromes, and so are their square numbers.

Alright, I'll give you four of those:

Hope this helps!

Answer:

1, 4, and 9

Step-by-step explanation:

Since one-digit are palindromes, just take 1, 4, and 9 because they're perfect. In math, you have to be efficient. Don't think too long about higher numbers. Think about the easier cases first.

I don't know the answer use a calculater

Answer:

Fit-Place charges a $135 startup fee and then $35 per month.

Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.

The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.

Table ;

Months              1          2          3        4         5        6          7        8

Fit-Place          170      205     240     275     310     345    380   415

The Factory     60      120        180     240    300    360   420    480

The total cost will be same in:

[tex]60x=135+35x[/tex]

=> [tex]60x-35x=135[/tex]

=> [tex]25x=135[/tex]

x = 5.4 rounded to 5 months.

Now we can see that the total cost will be same in almost 5 months.

Now box is 3/4 full

3/4 = 3/4*1

3/4 = 3/4 * 3/3 = 9/12

Box is 9/12 full after heba ate 1/12 of a box of cereal

Initial fraction will be 9/12+1/12

=10/12= 5/6

Answer:

5/6.

Step-by-step explanation:

If Heba ate 1/12 of a box of cereal and the box is now 3/4 full, then before she ate the box is 3/4 plus the 1/12 (because, in the "before" situation she hasn't eaten yet). So, we need to add the "now" quantity and the quantity eaten:

[tex]\frac{3}{4}+\frac{1}{12} = \frac{10}{12} = \frac{5}{6}.[/tex]

Then, before she ate the cereal, the box is 5/6 full.

The answer is 0.7p=p-250

Answer:

C: y + 1 = 6/7(x + 3)

Step-by-step explanation:

(5 + 1)/(4 + 3) = m

6/7 = m

y - 5 = 6/7(x - 4)

y - 5 = 6/7x - 24/7

y = 6/7x + 11/7