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3 years ago

Rewrite using a single positive exponent. 57 54

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

Answer:

Step-by-step explanation:

54, 57= you add 3 onto the unit number.

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A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35

Juliette [100K]

Answer:

<h2>After 5 hours</h2>

Step-by-step explanation:

If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;

If y = 35*3x

when y = 550

550 = 35*3x

Dividing both sides by 35;

550/35 = 35*3x/35

3x = 550/35

x = 550/3*35

x = 550/105

x = 5.24

This means that there will be 550 bacteria in the culture after approximately 5 hours

3 0

3 years ago

The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that de

N76 [4]

9514 1404 393

Answer:

x(x+2) = 63
7, 9
-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

x(x +2) = 63

The equation can be rewritten as ...

(x +1)² = 64

x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

8 0

3 years ago

Picture included-11 points-second time

Lisa [10]

Answer:

b = 12

Step-by-step explanation:

c^2 = a^2 + b^2

Solving for b,

b^2 = c^2 - a^2

= (13)^2 - (5)^2

= 169 - 25

= 144

b = 12

4 0

3 years ago

The distribution of actual weight of tomato soup in a 16 ounce can is thought to be be shaped with a ean equal to 16 ounces, and

Rudiy27

Answer:

(b) 15.50 to 16.50 ounces

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 16

Standard deviation = 0.25

Based on this information, between what two values could we expect 95% of all cans to weigh?

By the Empirical Rule, within 2 standard deviations of the mean. So

16 - 2*0.25 = 15.50 ounces

16 + 2*0.25 = 16.50 ounces

So the corret answer is:

(b) 15.50 to 16.50 ounces

8 0

3 years ago

Aunt Becky gave 5/6 of a cup of pudding to each of her 3 nephews. How many cups of pudding did she give out?

bulgar [2K]

Answer:

2 $\frac{1}{2}$ Cups

Step-by-step explanation:

First make 3 a fraction by throwing a one under it. Next multiple the two tops of the fractions together and then the two bottoms together:

$\frac{5}{6} X\frac{3}{1} = \frac{15}{6}$

Next we convert to a mixed number:

$2\frac{3}{6}$

Finally, we simplify the fraction:

2 $\frac{1}{2}$

7 0

3 years ago