Divide the following numbers in scientific notation and express the result in scientific notation3 x 10^12/ 7 x 10^4Round your answer to one decimal place. For example, if you found the answer was 1.362 x 10^5, you would enter 1.4 x 10^5

Answer:

dividing or multiplying

Step-by-step explanation:

for example: 84/100 = 42/50 = 21/25

or: 84/100= 168/200 = 336/400 and so on.

Hope this helps!

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Have a great day!

Answer:

$1,181.15

Step-by-step explanation:

Hope this helps.

Answer:

using the formula

x/a + y/b =1(a= intercept on x axis; b= intercept on y axis)

x/-2 + y/6 =1

-1/2x + y/6 =1

multiply both sides by the l.c.m(6)

6(-1/2x +1/6y) =1x6

-3x +y =6

y = 3x +6(equation of the line)

6p + 2q - 5r

The given expression is:

6p-(-2q+5r)

Remove the bracket using the distributivity rule

6p -(-2q) - (5r)

Simplify

6p + 2q - 5r

The value of (f. g)(x) is -4x²+13x-10. Therefore, the option B is the correct answer.

The given linear functions are f(x) = x − 2 and g(x) = −4x + 5.

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

(f. g)(x) can be determined as follows:

Now, (f. g)(x)=(x − 2)(−4x + 5)

=-4x²+8x+5x-10

=-4x²+13x-10

So, (f. g)(x)=-4x²+13x-10

The value of (f. g)(x) is -4x²+13x-10. Therefore, the option B is the correct answer.

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For 2 5% Do you mean 2 5/6? If It is then here your answer..

If Not Please tell me..

Answer:

6 1/14

Step-by-step explanation:

2 5/6 · 2 1/7

= 17/6 · 15/7

= 85/14

= 6 1/14 miles

Let

x = number of school bags

y = number of sweaters

z = number of color pencils.

They want to buy 200 items translates to

With a total $2800, a price of $20 on school bags, $25 on sweaters and $5 on color pencils translates to

They must order as many color pencils as school bags and sweaters combined, translates to

Therefore, we have the following system

Substitute the z of the third equation to the first and second equation

Solve the system of fourth and fifth equation using elimination method.

Substitute the value of x to the fourth equation and solve for y

Finally, substitute the value of x and y to the third equation to solve for z

Since y is the number of sweater, the number of sweaters that they have ordered is 60.

C(x) = 10x+500

A. C(O)=A 10.0+500. = 500.e

B. C(25) = 10.25+500 =750

C.c(x)=1500=10x+500

Answer:

O The value of f(2) is smaller than the value of f(1).

Step-by-step explanation:

First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)

Answer:

each angle is 83

Step-by-step explanation:

166÷ 2 = 83

check

83+83=166

hope it helps!!

Answer:

sum of two vertically angle =166°

X=166°/2 = 83°.

hence, each angle is equal to 83°.

X=

Answer:

The answer is 0

Step-by-step explanation:

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer: false

Step-by-step explanation:

Answer: \((3,1)\)

Step-by-step explanation:

Given

The point C \((-3,-1)\) is rotated \(180^{\circ}\) clockwise about the origin

If a point is rotated \(180^{\circ}\) about the origin, then the sign of the co-ordinates changes without changing the order of coordinates.

So,C  \((-3,-1)\) becomes C' \((3,1)\) after the rotation.

Answer:

10.8°degrees

Step-by-step explanation:

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The required value of the trigonometric function is sin (α - β) = - 10.96/15.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric ratios are given in the question, as follows:

sin α = -2/5 and cos β = -1/3

So cos α = √1 - (-2/5)² = √(1 - 4/25) = √21/5

And sin β = √1  - (-1/3)² = √(1 - 1/9) = √8/3

We have to determine the value of sin (α - β).

According to trigonometric identity,

sin (α - β) =  sinα cos β - cos α sin β

Substitute the values of sin α = -2/5 and cos β = -1/3,

sin (α - β) = (-2/5)( -1/3) - (√21/5)(√8/3)

sin (α - β) = 2/15 - (√21×8)/15

sin (α - β) = 2/15 - (√168)/15

sin (α - β) = 2/15 - 12.96/15

sin (α - β) = - 10.96/15

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The expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0)

What is American roulette?

Guessing on which number on the wheel ball will come to rest is the objective of American Roulette. Every number contains the same chances as any other number of coming up on each spin (that is winning number on any spin has no effect on the outcome of next spin). The best chance of payout is provided by an outside bet. The possible outcomes of the game of roulette is covered by 'outside bets'. With the higher winning chances, the payout is not going to be incredibly generous(it's only 1:1 for bets like odd or even that covers almost like half the wheel).

Expected value is calculated by adding all the different possible outcomes multiplied by their probabilities.  

So, in this case (0.5 x $2) + (0.5 x $1).  

For specific example it would be determined by the number of options on a roulette wheel (generally 37).  

So winning on this bet in 18 outcomes (the even numbers) and losing on 19 outcomes (the odd numbers + 0).  

Putting it all together, the expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0).

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

she bought 3 chicken wings

Step-by-step explanation:

8c = 10.4 --> where c is the cost of a chicken wing

c = 10.4 divided by 8

= 1.3

xc = 3.9 (x = number of chicken wings)

1.3x = 3.9

x = 3.9 divided by 1.3

which is 3

Answer:

Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.

Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.

If so your answer is: 2.5!

Evaluating the expression in a = 2 and b = -4, we will get the value -3.

Here we have the following expression:

√(a³ - 7) - |b|

We want to evaluate it in the values:

a = 2

b = -4

That means that we need to replace these variables by these values, then we will get:

√(2³ + 7) - |-4|

Then we can solve the expression:

√(2³ + 7) - |-4|

= √(1) - 4

=  1 - 4

= -3

That is the value of the expression.

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Answer:

a = 2

b = 4

c = 3

d = 4

e = 6

Step-by-step explanation:

When dividing fractions, you flip the fraction on the right; here, we have

1/2 / 3/4 so it is the same as 1/2 * 4/3. From there, we would assign our values, so a =2, b = 4, c =3, d is equal to 1*4, so 4, and e is equal to 2*3, so 6.\(1\)

Answer:

--------------------------------------

Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : \(P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}\)

\(=\dfrac{375}{1664}\approx0.2254\)

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

The volume of the figure is 54 cubic units

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

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