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3 years ago

There are 6 1/3 cups of juice left. How many 1/3 cups of juice would there be in the juice that is left

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

6 1/3 divided by 1/3 is 19

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

3 0

3 years ago

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

arlik [135]

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

$\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2$

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

8 0

2 years ago

Consider the equation below.

Kamila [148]

Answer:

Option (1)

Step-by-step explanation:

$\text{log}_4(x + 3)=\text{log}_2(2 + x)$

$\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}$

$\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}$

System of equations can be written as,

$y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}$

$y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}$

Therefore, system of equations given in Option (1) is the correct option.

4 0

2 years ago

If 60% of the students in the classroom have a pet at home. If 15 students have a pet, what is the total number of students in t

torisob [31]

There are 25 students in the classroom

3 0

2 years ago

Value of 3^2 + 5^2<br> PLEASE SOMEONE HELP

sergejj [24]

Answer:

Step-by-step explanation:

Step 1: Evaluating

9 + 5^2

9+25

Step 2 : Calculating

9 + 25

SOLUTION: 34

HOPE THIS HELPED

BRAINLIEST IS MUCH APPRECIATED

7 0

3 years ago

Read 2 more answers