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Dimas [21]
3 years ago
7

Svetlana's hair is 4 centimeters long. Her hair grows 1.5, point, 5 centimeters per month. Svetlana wants her hair to grow so th

at it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

Answer:

4 + 1.5m ≥ 7

Step-by-step explanation:

Given,

The original length of Svetlana's hair = 4 cm,

If the additional length of hair per month = 1.5 cm,

So, the total additional length of the hair after m months = 1.5m centimeters,

Hence, the total length of her hairs after m months ( in cm ) = original length + additional length

= 4 + 1.5m

According to the question,

Total length ≥ 7 cm

⇒ 4 + 1.5m ≥ 7

Which is the required inequality.

Alekssandra [29.7K]3 years ago
5 0

4 < 5

I think that is the equality.

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Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

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So in short, the answer is choice B) 27; 49

7 0
3 years ago
On a number line 8.29 would be located..... choose all answers that make the statement true
Gala2k [10]
A, B, and D I believe:)
5 0
3 years ago
Read 2 more answers
Can you help me please?
klemol [59]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represe
anyanavicka [17]

Answer:

option A

Step-by-step explanation:

given coordinate (3, -6) and (–7, –4)

to find the equation of line

slope of the line passing through both the point will be

               m = \dfrac{y_2-y_1}{x_2-x_1}

               m = \dfrac{-4+6}{-7-3}

               m = -\dfrac{2}{10}

equation of line

( y - y₁ ) = m ( x - x₁ )

y + 6= -\dfrac{2}{10}(x - 3)

x + 5 y = -27

line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5

hence, correct answer is option A

3 0
3 years ago
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl
dusya [7]

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

H_0 :  The quarterly growth rate in the number of contracts is not  significantly different from 0% (? = 0.05)

H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

4 0
3 years ago
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