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Alja [10]
2 years ago
8

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =

Mathematics
2 answers:
BabaBlast [244]2 years ago
4 0

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

vladimir2022 [97]2 years ago
3 0
Answer:

4c^2 + 5d + 11cd

Step-by-step explanation:

Hey next time please write the numbers that have exponent like this: (Ex: 3x^2)

(-4c^2 + 7cd + 8d) + (-3d + 8c^2 + 4cd)

Combine like terms

-4c^2 + 8c^2 = 4c^2

Combine Like Terms

7cd + 4cd = 11cd

Combine Like Terms

8d - 3d = 5d

Results:

4c^2 + 5d + 11cd
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2 years ago
Compare the temperature change for the two masses of cold water (50 grams and 100 grams) when the same amount of hot water was a
Vesnalui [34]

Answer:

Step-by-step explanation:

All other things being equal (and there are a lot of other things) the 50 gram mass will show a larger temperature

increase than the 100 gram mass.

Why?

The formula is the same from both masses of water (50 grams and 100 grams)

The amount of heat added is the same. (Instead of using hot water, we'll a hot plate on a very low temperature but above what they are now.).

We'll leave it on until we see a rise in temperature  delta(t1) = 10 degrees

mc delta(t) = m1 * c * delta(t1)

m = 100

m1 = 50 grams.

c is going to be divided out

we'll solve for the ratio of delta(t) / delta(t1)

100 * delta(t) = 50 (delta(t1)

100 * delta(t) = 50*10

delta(t) = 50*10/100

delta(t) = 5 degrees.

Though this may look rather convoluted, the result is telling us is that delta(t1) for the 50 gram mass is twice as big as as for the 100 gram mass.

The 100 gram mass only rises 5 degrees.

The 50   gram mass rises 10 degrees.

7 0
3 years ago
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
3 years ago
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The last one is letter D. Help me pls
shusha [124]

Answer:

the question isn't clear

5 0
2 years ago
In 2007, the population of Tallahassee, Florida was 168,979. Some researchers believe that the population of Tallahassee will in
tresset_1 [31]

Answer:

Number of year in which population will be 180,000 = 6 year (Approx.)

Step-by-step explanation:

Given:

Population in 2007 = 168,979

Rate of increase in population = 1% = 0.01

Future population = 180,000

Find:

Number of year in which population will be 180,000

Computation:

A = P[1+r]ⁿ

Future population = Population in 2007[1+Rate of increase in population]ⁿ

180,000 = 168,979[1+0.01]ⁿ

180,000 = 168,979[1.01]ⁿ

1.06522 = [1.01]ⁿ

n = 6 (Approx.)

Number of year in which population will be 180,000 = 6 year (Approx.)

4 0
2 years ago
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