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3 years ago

Reflect AQ'R'S' if Q'(1, -3), R'(-2,-6), and S'(-1,-1) over the x-axis.

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

Answer:

Step-by-step explanation:

The rule of reflecting over the x-axis is that point (x, y) →( x, -y) so

Q'(1, -3), R'(-2,-6),and S'(-1,-1) reflected over the x-axis, become

Q"(1, 3), R"(-2, 6), and S"(-1, 1) .

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Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in

tatuchka [14]

Answer:

The equation representing how old Monique son is $\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

$q(t) = \hat q \times t + q_o$

where;

$q_o$ = initial height of Monique's son

$\hat q$ = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

$\hat q = 2 \dfrac{5}{8} \ in/yr$

$\hat q = \dfrac{21}{8} \ in/yr$

Then; from the equation $q(t) = \hat q \times t + q_o$

$34 = \dfrac{21}{8} \times 0 + q_o$

$q_o = 34\ inches$

The height of the son as a function of the age can now be expressed as:

$q(t) = \dfrac{21}{8} \times t + 34$

Then:

Making t the subject;

$q - 34 = \dfrac{21}{8} \times t$

$t = \dfrac{8}{21}(q-34)$

and the age of the son i.e. ( a (in years)) is:

a = 2 + t

So;

$\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

SO;

if q (growth rate) = 50 inches tall

Then;

$\mathbf{a = 2 + \dfrac{8}{21}(50-34)}$

$\mathbf{a = 2 + \dfrac{8}{21}(16)}$

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

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3 years ago

How many models of 100 do you need to model 3,200

atroni [7]

32 models of 100. you are prone for elementary questions in all subjects and i accept that very dearly, thank you

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3 years ago

Read 2 more answers

A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte

Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that $\mu = 48, \sigma = 12$

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{78 - 48}{12}$

$Z = 2.5$

$Z = 2.5$ has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

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3 years ago

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

Mademuasel [1]

Amount of money collected in the 2-day fundraiser is represented by the following equations:

12x + 4y = 152 .................. (i)
32x + 12y = 420 .................. (ii)

where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch

Multiplying (i) with 3 and subtracting it from (ii)

36x + 12y - (32x + 12y) = 456 - 420

⇒ 4x = 36

⇒ x = 9

Put value of x in (i)

⇒ 12 × 9 + 4y = 152

⇒ 108 + 4y = 152

⇒ 4y = 44

⇒ y = 11

Hence, cost of the vegetarian meal is 11.

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4 years ago

I need help can u help me please and thanks

son4ous [18]

Answer:

17.74

Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

$\dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74$

Then the number of interest is ...

17 37/50 = 17 74/100 = 17.74

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3 years ago