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3 years ago

15

Evaluate the expression -2.3=

1 answer:

hammer [34]3 years ago

4 0

Answer:-2.3

Step-by-step explanation:

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Find the additive inverse of -8/17

marissa [1.9K]

Answer:

the additive inverse is 8/17

5 0

3 years ago

Read 2 more answers

A formula for finding A, the area of a triangle is A=1/2bh, where b is the base of the triangle and h is the altitude to that ba

seropon [69]

Answer:

48 inches²

Step-by-step explanation:

Substitute b = 16 and h = 6 into the formula for A

A = $\frac{1}{2}$ × 16 × 6 = 8 × 6 = 48 inches²

7 0

4 years ago

Jayden used a Groupon at the local pizza shop. Instead of paying $15, for the pizza, he paid $12.

DENIUS [597]

Answer:

She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.

Step-by-step explanation:

7 0

3 years ago

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

So

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

7 0

3 years ago

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint

Vikki [24]

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is $x= \frac{1}{3}$

c

The price is $P = \$ 8$

Step-by-step explanation:

From the question we are told that

The ratio of the number of cups of blue paint to the number of cups of red paint is $r = 3: 1$

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that 1 cup of red paint => 3 cups of blue paint

x cup of red paint => 1 cup of blue paint

So

$x= \frac{1 * 1}{3}$

=> $x= \frac{1}{3}$

Generally the unit price of a cup of blue paint is mathematically represented as

$P = \frac{48}{6}$

=> $P = \$ 8$

4 0

3 years ago