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3 years ago

Consider the relationships labeled in the diagram. Q Á P Р R Find m

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Angle m = 60° because if all sides are congruent then all angles are congruent. a triangle’s angles add up to 180 so each angle equals 60°

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The gross domestic product (in billions of dollars) can be approximated by p(t)equals564 plus t left parenthesis 36 t supersc

nirvana33 [79]

We have been given gross domestic product (in billions of dollars) can be approximated by $P(t)=564+t(36t^{0.6}-101)$ .

(a) In this part, we need to compute the derivative of this function:

$P'(t)=\frac{d}{dt}(564+t(36t^{0.6}-103))\\P'(t)=\frac{d}{dt}(564)+\frac{d}{dt}(t(36t^{0.6}-103))\\P'(t)=0+57.6t^{0.6}-103\\$

$P'(t)=57.6t^{0.6}-103$

(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

$P'(45)=57.6(45)^{0.6}-103\\P'(45)=565.3924-103\\P'(45)=462.39$ Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.

4 0

3 years ago

Solve -7/2t - 2 = -4 - 7t

Kruka [31]

Hope this helps i spent around fourty minutes trying to figure it out, but im still in my younger ages of highschool so yeah.

5 0

3 years ago

Solve the following equation 3m^2=3-8m. Find both values

Len [333]

3m² = 3 - 8m
0 = 3m² + 8m - 3
0 = (3m - 1 )(m + 3)

m = -3, 0.33

7 0

3 years ago

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing

Serjik [45]

Answer:

c) -1.75°

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.

Mean of 0, standard deviation of 1:

This means that $\mu = 0, \sigma = 1$

Find the reading that separates the bottom 4% from the others.

This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.

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

$-1.75 = \frac{X - 0}{1}$

$X = -1.75*1$

$X = -1.75$

The correct answer is given by option c.

7 0

2 years ago

For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely pr

asambeis [7]

The answer is A .2d/T
Since d is directly proportional to the heat lost it should be the numerator
since T is inversely proportional to the heat lost it shoudl be the denormirator
that is 1/T ; 2 is the constant
the actual formula is R = kd/T

6 0

3 years ago