All categories

3 years ago

What's the slope for coordinates (-5,-5) (5,3)?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

4/5

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-5 - 3)/(-5 - 5)

slope = -8/(-10)

slope = 4/5

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We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we

Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0

4 years ago

John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart

Rina8888 [55]

<h2>Answer:</h2>

$Probability=\frac{1}{24}$

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

$Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}$

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is $\frac{1}{24}$ </u></em>

3 0

3 years ago

31. I just need to do it

NikAS [45]

You need to buy 6 notesbooks

5 0

3 years ago

Element X decays radioactively with a half life of 13 minutes. If there are 560 grams

deff fn [24]

The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins

<h3>How to determine the number of half-lives </h3>

Original amount (N₀) = 560 g
Amount remaining (N) = 150 g
Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 560 / 150

2ⁿ = 3.73

Take the log of both side

Log 2ⁿ = Log 3.73

nLog 2 = Log 3.73

Divide both side by Log 2

n = Log 3.73 / Log 2

n = 1.9

<h3>How to determine the time </h3>

Number of half-lives (n) = 1.9
Half-life (t½) = 13 mins

Time (t) =?

t = n × t½

t = 1.9 × 13

t = 24.7 mins

Learn more about half life:

brainly.com/question/26374513

7 0

2 years ago

Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)? A. x = -1 B. x = 2 C. y = -6 D. y = 2x

quester [9]

Answer:

C. y = -6

Step-by-step explanation:

Although parallel lines have SIMILAR <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], there is no slope here, so this is an automatic gamble.

I am joyous to assist you anytime.

4 0

3 years ago