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3 years ago

A line has a slope of 4. What is the slope of any line perpendicular to this line? A −4 B −14 C 14 D undefined

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

3 0

Answer:

-1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 4 = -1

Divide by 4

m = -1/4

The slope of a line that is perpendicular to a line that has a slope of 4 is -1/4

viva [34]3 years ago

3 0

Answer:

-1/4

Step-by-step explanation:

The slopes of perpendicular lines are reciprocals of each other,

meaning if the slope of one line is 4 then its perpendicular lines slope is -1/4.

Thus,

its slope is -1/4.

Hope this helps :)

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Will paid $2.73 for 3.5 pounds of bananas. What was the cost per pound of the bananas?

Alex73 [517]

Answer:

0.78¢

Step-by-step explanation:

if 3.5 lbs of bananas is $2.73, then we need to divide each side by 3.5 to get 1 lb of bananas

1 lb = 0.78¢

To check our work, we can do 0.78x3.5 = 2.73

Hope this helps! Please mark Brainliest if this helped :)

5 0

3 years ago

Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of t.

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

3 years ago

There are approximately 7.7 billion humans on Earth. If the virus spreads beyond the 200-person town, how long will it be until

eimsori [14]

Answer:

25.2 weeks until everyone on the planet is infected

Step-by-step explanation:

The number of infected people after t weeks has the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.

The number of infected people doubles every week

This means that $P(1) = 2P(0)$

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)$

$1 + r = 2$

$r = 1$

$P(t) = P(0)*(2)^{t}$

200-person town

This means that $P(0) = 200$

$P(t) = P(0)*(2)^{t}$

$P(t) = 200*(2)^{t}$

How long will it be until everyone on the planet is infected?

This is t for which P(t) = 7700000000[/tex]

$P(t) = 200*(2)^{t}$

$7700000000 = 200*(2)^{t}$

$2^{t} = \frac{7700000000}{200}$

$\log{2^{t}} = \log{\frac{7700000000}{200}}$

$t\log{2} = \log{\frac{7700000000}{200}}$

$t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}$

$t = 25.2$

25.2 weeks until everyone on the planet is infected

4 0

3 years ago

Jennie purchased a box of crackers from the deli. The box is in the shape of a triangular prism. If the volume of the box is 3,2

Mnenie [13.5K]

Answer:

Height of the triangular face of the box is 12 cm.

Step-by-step explanation:

This question is not complete; please find the question as the attachment.

Volume of a triangular prism = Area of the triangular base × height

It's given in the question, Volume of the prism = 3240 cm³

Height of the prism = 30 cm

By substituting these values in the formula,

3240 = B × 30

B = $\frac{3240}{30}$

B = 108 cm²

Area of the triangular face (B) = $\frac{1}{2}(\text{Base})\times (\text{Height of the triangular base})$

108 = $\frac{1}{2}\times (18)\times h$

108 = 9h

h = 12 cm

Therefore, height of the triangular face of the prism is 12 cm.

7 0

3 years ago

What is the sum of the polynomials 5 a squared b plus 2a squared b squared 5 a2b+2a2b2 and negative ab squared plus a squared b

cupoosta [38]

The first polynomial is $5a^2b+2a^2b^2$

The other polynomial is $-ab^2+a^2b^2$

Now to add polynomials we must add or subtract like terms

Adding them we have

$(5a^2b+2a^2b^2)+(-ab^2+a^2b^2)$

$5a^2b+2a^2b^2-ab^2+a^2b^2$

Here $2a^2b^2 $ and $ a^2b^2 $ are like terms $$

So we add then

We get

$5a^2b+3a^2b^2-ab^2$

The addition of the polynomial is $5a^2b+3a^2b^2-ab^2$

3 0

3 years ago