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densk [106]
2 years ago
9

Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alis

ha claims that the first step to simplify is to apply the quotient of powers. Who is correct? Explain. (StartFraction m squared n Superscript negative 3 Baseline Over m Superscript 6 Baseline n Superscript negative 1 Baseline EndFraction) cubed
Mathematics
2 answers:
STALIN [3.7K]2 years ago
8 0

Answer:

Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.

Kryger [21]2 years ago
8 0

Answer:

Sample Response: Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.    

plz thank if you learned

Be sure to make it into your own words so that it is not the same.

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Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right
stich3 [128]

Answer:

The value of y is 6\sqrt{3} units ⇒ 2nd answer

Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

  • (NT)² = NU . NM
  • (MT)² = MU . MN
  • (TU)² = MU . NU
  • TM . TN = TU . MN

∵ NU = 9 units

∵ UM = 3 units

∵ MN = UM + NU

∴ MN = 3 + 9 = 12 units

- By using the 1st rule above

∴ (NT)² = 9 × 12

∴ (NT)² = 108

- Take a square root to both sides

∴ NT = \sqrt{108}

- Simplify the root

∴ NT = 6\sqrt{3} units

∵ NT is y

∴ y = 6\sqrt{3} units

The value of y is 6\sqrt{3} units

8 0
2 years ago
Read 2 more answers
Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.
KATRIN_1 [288]
<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

<h3><u>Find out 30 % of 85</u></h3>

Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5

Thus Aubrey paid $ 25.5 to waitstaff

4 0
2 years ago
A small manufacturer constructs refrigerators. The fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator
kaheart [24]

Answer: Horizontal asymptote of c(x) is 450.

Step-by-step explanation:

Since we have given that

Cost to produce one refrigerator = $450

Fixed monthly cost = $200,000

So, Average cost function to produce x refrigerators is given by

c(x)=\dfrac{200000+450x}{x}

Horizontal asymptote of c(x) would be

\dfrac{450x}{x}\\\\=450

Hence, Horizontal asymptote of c(x) is 450.

6 0
2 years ago
Read 2 more answers
If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is
Marta_Voda [28]
The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).

Answer: The vertex gets shifted by h units horizontally and k units vertically.
8 0
2 years ago
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A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tic
Kipish [7]
8x+6y=1920
Y=40+x

8x+6(40+x)=1920
Solve for x
X=120

Y=40+120=160
8 0
2 years ago
Read 2 more answers
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