Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4

−2

⋅4

−3

)

3

left parenthesis, 4, start superscript, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed.

\begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned}

​


=(4

−2

⋅4

−3

)

3


=(4

−5

)

3


=4

−2


=

4

2


1

​


​


Step 1

Step 2

Step 3

​


Did Chris make a mistake? If so, in which step?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Chris did not make a mistake.


(Choice B)

B

Chris made a mistake in Step 1.


(Choice C)

C

Chris made a mistake in Step 2.


(Choice D)

D

Chris made a mistake in Step 3.

Answer:

48.048

Step-by-step explanation:

multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you

Answer:

An equivalent expression = 8b + (-4)

Step-by-step explanation:

In Mathematics, numbers exhibit or are guided by certain properties that they can show.

Some of those of properties are :

a) Commutative property where:

a + b = b + a

b) Associative property

a+( b + c) = (a + b) + c

c) Additive inverse property

a - b = a + ( - b)

For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.

An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.

Hence, using the Additive inverse property

a - b = a + ( - b)

The equivalent expression for 8b - 4 = 8b + ( -4)

Answer:

50 ft2

Step-by-step explanation:

im not sure if this is right but this is what i got when i worked it out

Answer: [tex]150ft^2[/tex]

Step-by-step explanation:

length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]

width: [tex]5 in[/tex]

[tex]Formula: A=w*l[/tex]

[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]

Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.

[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]

[tex]\frac{1}{4}in^2 : 1ft^2[/tex]

Convert.

[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]

Invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]

Answer:

just google it dude

Step-by-step explanation:

google :)

Answer:

[tex] {x}^{2} - 72 = 0[/tex]

Step-by-step explanation:

[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]

Answer:

25 years old

hope this helps  

~savannah:))

If there are 125 sheep and 5 dogs in a flock  then the shepherd is 25 years old.

A division is a process of splitting a specific amount into equal parts.

Given,

The number of sheeps are 125

One hundred twenty five

The number of dogs are 5

Five.

We need to find how old is the shepherd

To find this we just need to divide one hundred twenty five by five

125/5

25

Hence, if there are 125 sheep and 5 dogs in a flock  then the shepherd is 25 years old.

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Answer:

Step-by-step explanation:

Answer:

m∠DEH= 128.6°

Step-by-step explanation:

∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.

This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.

Answer:

128.6

Step-by-step explanation:

GHJ= DEH

adjasent angle

Answer:

[tex]16y^{4} -256x^{12} =16(y^{4} -16x^{12})\\ 16[(y^{2})^{2}-(4x^{6})^{2} ]\\ =16(y^{2} -4x^{6})(y^{2} +4x^{6}) \\\\=16(y^{2} -(2x^{3})^{2}) (y^{2} +4x^{6}) \\=16(y-2x^{3})(y+2x^{3}) (y^{2} +4x^{6}) \\[/tex]

Step-by-step explanation:

Answer:

16y4 - 625x4 = (4y2 + 25x2)(2y + 5x)(2y-5x)

Step-by-step explanation:

dis right

Answer:

- 11f + 15

Step-by-step explanation:

- f - 5(2f - 3)

= - f - 10f + 15

= - 11f + 15

Answer:

x=5/3, y= 4 2/3

Step-by-step explanation:

y=4x−2

y=x+3

x+3=4x-2

3=3x-2

5=3x

x=5/3

y=4(5/3)−2

y=6 2/3-2

y= 4 2/3

i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

Answer:

8x+47

Step-by-step explanation:

First, distribute. Then, solve! Done! ^_^

Hope I helped, have an awesome day! :D

Answer:

LKH and JKM

Step-by-step explanation:

Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)

Answer: it is angle LKH and angle JKM

Step-by-step explanation:

Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!

Answer:

27 c       to the power of 12

Step-by-step explanation:

Answer:

The answer is 27c¹² .

Step-by-step explanation:

You have to use Indices Law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So for this question :

[tex] 9{c}^{6} \times 3 {c}^{6} [/tex]

[tex] = (9 \times 3) {c}^{(6 + 6)} [/tex]

[tex] = 27 {c}^{12} [/tex]

Answer:

x = 0   or  x = -4

Step-by-step explanation:

Solve: 6x² +24x = 0

First you can factor this binomial.

6x² +24x = 6x (x + 4) = 0

so  x = 0  or  x + 4 = 0

x = 0   or  x = -4

Answer:

10

Step-by-step explanation:

there is only ten ways to do it

the slope of the line above is -2

Answer:

Step 1: Commutative property

Step 2: Distributive property

Step 3: Add

Hope this helps you out!

Answer:

look at file for answer

Step-by-step explanation:

Answer:

Hello,

Total number : 70

Step-by-step explanation:

20 + 25 = 45

45 liked music

X liked sport only

X + 25 liked sport

45 / 9 = (X + 25) / 7  ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10

10 liked sport only

Total students in group : 45 + 10 + 15 = 70

In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities. 70 is the total number of students in group.

What is mathematical ratio?

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion constitutes a equation that sets two ratios at the same value.

Ratios contrast two figures by typically dividing them. A/B would be your formula if you were evaluating one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio are going to be 5/10 if A is 5 and B is 10.

20 + 25 = 45

45 liked music

X liked sport only

X + 25 liked sport

45 / 9 = (X + 25) / 7  ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10

10 liked sport only

Total students=45 + 10 + 15 = 70

Therefore, 70 is the total number of students in group.

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The equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.

The given unknown number is x.

Seven less than four times a number, x is

4x-7

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

So, the equation is

4x-7=37

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, the solution is

4x=37+7

4x=44

x=44/4

x=11

Therefore, the equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.

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Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/17

Answer:

8/17

Step-by-step explanation:

cos = adjacent/hypotenuse

cos X = 8/17

Answer:

6/0.75, 24/3

Step-by-step explanation:

times 0.75 by 1,2,3 until it is a whole number

times the same number to the top of the fraction

The ratio of flour to buttermilk is 8:1.

The relationship between two groups or amounts that expresses how much bigger one is than the other.

Given that, A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilk

Flour = 6 cups

Buttermilk = 3/4

Ratio = 6:3/4 = 8:1

Hence, The ratio of flour to buttermilk is 8:1.

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Answer:

False

Step-by-step explanation:

For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5

but when you add 3 and 4 they do not give you 5

so that is false

Answer:

Molecules in both the metal and the surrounding air will start moving at lower speeds?

Step-by-step explanation:

I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.

So sorry if this is wrong, chemistry isn't my strongest subject.

Answer:

The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.

Step-by-step explanation:

what are the answer choices?

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let's check all the options, then we have

A. S/3 + 10

If S = 15, then we have

⇒ 15 / 3 + 10

⇒ 5 + 10

⇒ 15

B. S/2 + 10

If S = 15, then we have

⇒ 15 / 2 + 10

⇒ 10 + 10

⇒ 20

C. S + 10

If S = 15, then we have

⇒ 15 + 10

⇒ 15 + 10

⇒ 25

D. - S/3 + 10

If S = 15, then we have

⇒ -15 / 3 + 10

⇒ -5 + 10

⇒ 5

The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.

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The missing options are given below.

A. S/3 + 10

B. S/2 + 10

C. S + 10

D. - S/3 + 10

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

4 units

Step-by-step explanation:

The area of a square is denoted by: A = s², where s is the side length.

Here, we know that the area is 16, so plug this in for A:

A = s²

16 = s²

s = √16 = 4

Thus, the side length is 4 units.

~ an aesthetics lover

Answer:

The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].

Step-by-step explanation:

This is the general standard equation for the circle centered at (h, k) with radius r.

                                           [tex](x-h)^2+(y-k)^2=r^2[/tex]

From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.

To find the standard equation of the circle you must:

Step 1: Find circle radius.

To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:

[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]

[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]

Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.

[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]

Answer: $1200

Step-by-step explanation:

SO we know that their income is 5000 and 25% of it i for food.

so we will multiply 25% * 5000 =1250  so we know that  out of the 5000, $1250 - $50=$1200

This means that 1% of the was reduce.So now the food budget will be 24% out of the total budget.