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melisa1 [442]
4 years ago
10

Simplify. (3m^2n4)^3 A)27m^5n^7 B)9m^6n12 C)27m^6n^12D)9m^5n^7

Mathematics
1 answer:
butalik [34]4 years ago
6 0
(3m²n⁴)³ = 27m^6n^12. choice C
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Max correctly solved this inequality.
pentagon [3]

Answer:

Answer:

See the graph attached. The red arrow represents the shaded area.

Explanation:

The inequality and its solution are given:

     

The solution set is all real numbers less than or equal to -50.

In a number line, the values less than -50 are all the values that are to the left of -50. Thus, the graph of a ≤ -50 must include -50 and the region to the left of it.

To indicate that - 50 is included, draw a solid point; then, shade the region since it to its left.

Please, see the graph attached. The red arrow represents the shaded area.

Step-by-step explanation:

8 0
3 years ago
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Please Solve this, it would be extremely helpful for me.
Sidana [21]

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF   { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF  {AA criteria for similarity }

\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\

Cross multiply

EF * 15 = 27 * 7.5

EF =\frac{27*7.5}{15}\\\\

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}

AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm

AC = 37.5 cm

6 0
3 years ago
Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?
exis [7]

The solution set of the equation is all reals ⇒ 3rd answer

Step-by-step explanation:

The solution set of an function is the set of all vales make the equation true. The equation has:

  • Solution if the left hand side is equal to the right hand side
  • No solution if the left hand side doesn't equal the right hand side

∵ The equation is 18 - 3n + 2 = n + 20 - 4n

- Add the like terms in each side

∴ (18 + 2) - 3n = (n - 4n) + 20

∴ 20 - 3n = -3n + 20

- Add 3n to both sides

∴ 20 = 20

In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value

∵ The the variable n is disappeared

∵ The left hand side = the right hand side

∴ n can be any real number

∴ The solution set of the equation is all real numbers

The solution set of the equation is all reals

Learn more:

You can learn more about the equations in brainly.com/question/11229113

#Learnwithbrainly

8 0
3 years ago
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A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised a
dybincka [34]

Answer:

a) No

b) No

c) P value is more than 0.05.  

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 12 ounces

Sample size, n = 49

P-value = 0.136

First, we design the null and the alternate hypothesis

H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}

We use One-tailed z test to perform this hypothesis.

a) Alpha, α = 0.05

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

b) Alpha, α = 0.10

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.

3 0
3 years ago
I need help with this problem​
balu736 [363]

Answer:

2.1000x10^03

Step-by-step explanation:

7 0
3 years ago
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