Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his solution?
Write in scientific notation, moving the decimal in the coefficient one place left and keeping the same exponent.
Write in scientific notation, moving the decimal in the coefficient one place to the left, which subtracts 1 from the exponent value.
Write in scientific notation, moving the decimal in the coefficient one place to the left, which adds 1 to the exponent value.
Write in scientific notation, moving the decimal in the coefficient one place to the right, which adds 1 to the exponent value.

Answer:

Step-by-step explanation:

$16 / 8 cans = $2 per can

Complete question is;

Tiothy evaluated the expression using x = 3 and y = –4. The expression is (xy^(-2))/(3x²y^(−4))

1. (1/3)x^(−1)(y²) 2. ((1/3)^(3−1))(−4²) 3. (1/3)(1/3)(−4)² 4. (1/3)(1/3)(−16) 5. −16/9 Analyze Timothy's steps. Is he correct? If not, why not?

A) Yes, he is correct.

B) No, he needed to add the exponents when he simplified the powers of the same base.

C) No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction.

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Answer:

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Step-by-step explanation:

The expression is;

(xy^(-2))/(3x²y^(−4))

Simplifying this using law of indices gives;

⅓(x^(1 - 2)) × (y^(-2 -(-4))

This gives;

= (⅓x^(-1)) × y²

= ⅓ × (1/x) × y²

We are told that x = 3 and y = –4, thus;

= ⅓ × ⅓ × (-4)²

Square of a negative number is positive, thus (-4)² = 16

Thus;

⅓ × ⅓ × (-4)² = 16/9

Looking at the answer Timothy got, it's clear he made a mistake of not getting a positive number when he squared -4.

Thus,option D is the correct answer.

Answer:

D

Step-by-step explanation:

i got it correct

Answer:

No Soultion

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

distribute

3y + 6 = 5 + 3y

subtract 3y from both sides

6 = 5

no solution since 6 can never equal 5

Answer:

C

Step-by-step explanation:

vmlstjtndgydcyedhdhdh

Answer:

x = 1 and y = 6

Step-by-step explanation:

Add these equations

-2x+y=4

2x+y=8

2y=12

    2

y = 6

Plug in 12 for y.

-2x+(6) = 4

     -6    -6

-2x = -2

     -2

x = 1

7: Answer: [tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

Substitute the value of Y:

[tex]-2x-3(10x-11)=-7[/tex]

Solve for X:

[tex]-2x-3(10x-11)=-7[/tex]

[tex]x=\frac{5}{4}[/tex]

Substitute the value of X:

[tex]x=\frac{5}{4}[/tex]

[tex]y=10*\frac{5}{4}-11[/tex]

Solve for Y:

[tex]y=10*\frac{5}{4}-11[/tex]

[tex]y=\frac{3}{2}[/tex]

Solution:

[tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

8: Answer: [tex](x,y)=(3,-2)[/tex]

Substitute the value of Y:

[tex]4x-3*(-2)=18[/tex]

Solve for X:

[tex]4x-3*(-2)=18[/tex]

[tex]x=3[/tex]

Solution:

[tex](x,y)=(3,-2)[/tex]

9: Answer [tex](x,y)=(0,-2)[/tex]

Substitute the value of Y:

[tex]-3x+6(-2+5x)=-12[/tex]

Solve for X:

[tex]-3x+6(-2+5x)=-12[/tex]

[tex]x=0[/tex]

Substitute the value of X:

[tex]x=0[/tex]

[tex]y=-2+5*0[/tex]

Solve for Y:

[tex]y=-2+5*0[/tex]

[tex]y=-2[/tex]

Solution:

[tex](x,y)=(0,-2)[/tex]

10: Answer [tex](x,y)=(-3,-6)[/tex]

Substitute the value of Y:

[tex]-5x-(6+4x)=21[/tex]

Solve for X:

[tex]-5x-(6+4x)=21[/tex]

[tex]x=-3[/tex]

Substitute the value of X:

[tex]x=-3[/tex]

[tex]y=6+4x(-3)[/tex]

Solve for Y:

[tex]y=6+4x(-3)[/tex]

[tex]y=-6[/tex]

Solution:

[tex](x,y)=(-3,-6)[/tex]

Please mark me brainliest if this helped you :)

Answer:

Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

Step-by-step explanation:

Hope this helps!!!

Answer:

y=-1/4x+1

Step-by-step explanation:

The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.

Answer:

0.619

Step-by-step explanation:

Answer:

0.619

Step-by-step explanation:

Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.

9514 1404 393

Answer:

Step-by-step explanation:

The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:

  1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50

  = 3 + 1.5 + 0.50 + 0.25 . . . . . partial products

Their sum is ...

  3 + 1.5 + 0.50 + 0.25 = 5.25

Zoe spent $5.25 on apples.

Answer:

5i[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]

Given

[tex]\sqrt{-175}[/tex]

= [tex]\sqrt{25(7)(-1)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]

= 5i[tex]\sqrt{7}[/tex]

Answer:

[tex]5i\sqrt{7}[/tex]

Step-by-step explanation:

In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.

[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex]                       (1)

From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].

Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......

[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex]   (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)

Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....

[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]

From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following

[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]

The decimal equivalent is 0.60, and the percent is 60%. If you do 3/5, you get 0.60, and to get the percentage, you move the decimal two to the right, and add the percent sign. I hope you understand. :)

Answer:

39.44

Step-by-step explanation:

Answer:

39.4418605

Step-by-step explanation:

Answer:

12 Cups

Step-by-step explanation:

s = 2f

If f = 6

S = 2 x 6

s = 12

Answer:

well u will need to multiply 2 times 6 and it will be 12 can i get brainlyist

Step-by-step explanation:

Answer:

48 plants

Step-by-step explanation:

Answer:

6 690.95 US$

Step-by-step explanation:

Answer:

0.315 per lb

Step-by-step explanation:

Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out

Step-by-step explanation:

Answer:

Your slope would be -5/3

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -12-8/3-(-9)

-12 - 8 = -20

3 - (-9) = 12

-20/12 = -5/3

Answer:

D 1/6

Step-by-step explanation:

There are 6 total marbles and only one of them is red so

1=red

6=total

1/6

PLZ MARK ME BRAINLIEST

Answer:

x=-2

y=-5

Step-by-step explanation:

3x-y=-1

-3x+4y=-14

_________

-3y=-15

__. __

-3. -3

y=5

3x-(-5)=-1

3x+5=-1

-5. -5

_______

3x=-6

---. ---

3. 3

x=-2

Answer:

what are you talking about???

Step-by-step explanation:

brainliest and chill bro

Answer:

Step-by-step explanation:

From the figure attached,

1). Sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

2). Cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

                = [tex]\frac{ED}{DF}[/tex]

                = [tex]\frac{10}{26}[/tex]

                = [tex]\frac{5}{13}[/tex]

3). tan(D) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{EF}{DE}[/tex]

               = [tex]\frac{24}{10}[/tex]

               = [tex]\frac{12}{5}[/tex]

4). sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

              = [tex]\frac{DE}{DF}[/tex]

              = [tex]\frac{10}{26}[/tex]

              = [tex]\frac{5}{13}[/tex]

5). cos(F) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

               = [tex]\frac{EF}{DF}[/tex]

               = [tex]\frac{24}{26}[/tex]

               = [tex]\frac{12}{13}[/tex]

6). tan(F) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex]

               = [tex]\frac{DE}{EF}[/tex]

               = [tex]\frac{10}{24}[/tex]

               = [tex]\frac{5}{12}[/tex]

Answer:

AE = 30

GD = 5

GF = 10

Step-by-step explanation:

Centroid of medians divide median in the ratio 2 : 1

Therefore,

AG : GE : 2 : 1

Let AG = 2x & GE = x

Since, AG = 20....(given)

Therefore, 2x = 20

x = 20/2

x = 10

GE = x = 10

AE = AG + GE = 20 + 10 = 30

CG : GD : 2 : 1

Let CG = 2x & GD = x

Since, CG = 10....(given)

Therefore, 2x = 10

x = 10/2

x = 5

Since, GD = x

Therefore, GD = 5

BF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10

Answer:

See Below.

Step-by-step explanation:

We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.

The Law of Cosines is given by:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are the two known sides, and C is the angle between them.

If C is 90° then we will have:

[tex]c^2=a^2+b^2-2ab\cos(90 ^\circ)[/tex]

Recall that the cos(90°)=0. Hence:

[tex]c^2=a^2+b^2-2ab(0)[/tex]

Simplify:

[tex]c^2=a^2+b^2[/tex]

So, we acquire the Pythagorean Theorem as desired.

Answer:

— What is (g × h)(x)?

The answer is 3x²+x-2

— What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

— What is k(g(0))

The answer is -8

Explanation:

Given these functions —

[tex]f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x[/tex]

Find (g × h)(x)

[tex](g \times h)(x) = g(x) \times h(x)[/tex]

Substitute g(x) = 3x - 2 and h(x) = x + 1

[tex](3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)[/tex]

Multiply the polynomial.

[tex]3 {x}^{2} + 3x - 2x - 2[/tex]

Subtract - 2x out of 3x —

[tex]3 {x}^{2} + x - 2[/tex]

Thus, the answer is —

[tex](g \times h)(x) = 3 {x}^{2} + x - 2[/tex]

Find (g(k(x))

Substitute k(x) = 4x in g(x).

[tex]g(x) = 3x - 2 \\ k(x) = 4x[/tex]

[tex]g(k(x)) = g(4x)[/tex]

[tex]g(4x) = 3(4x) - 2[/tex]

Distribute 3 in 4x —

[tex]g(4x) = 12x - 2[/tex]

Thus the answer is —

[tex]g(k(x)) = 12x - 2[/tex]

Alternative Solution

[tex]g(k(x)) = 2(6x - 1)[/tex]

Find k(g(0))

Given two functions — k(x) and g(x)

[tex]k(x) = 4x \\ g(x) = 3x - 2[/tex]

Evaluate the value of g(0) as we substitute x = 0 in g(x)

[tex]g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2[/tex]

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

[tex]k(x) = 4x \\ g(0) = - 2[/tex]

Substitute g(0) = -2 in k(x)

[tex]k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8[/tex]

Thus, the answer is —

[tex]k(g(0)) = - 8[/tex]

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x