Which one of the following solids produces these two-dimensional shape when sliced horizontally?

Select all of the statements that are valid based on the survey results.

Anika [276]

Answer:

all except the last one

Step-by-step explanation:

4 0

3 years ago

A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

RUDIKE [14]

ANSWER:

a) 12 cats

b) 232

c) 246

d) 14

EXPLANATION:

Given the expression for number of cats C present at time t:

$C\text{ = }\frac{12.31}{0.05+0.56^t^{}}$

a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

Number of cats initially on the reserve are approximately 12 cats

b) C(10):

$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

C)Using function notation to express the number of cats present after 17 years, we have:

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

Therefore, number of cats present after 17 years are approximately 246 cats

C(17) = 246 cats

d) In this case, first find the number of cats present in the 10th year and subtract from the number of cats present in the 17th year.

$C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}=\text{ }232.12$

From question C above, we know C(17) = 246

Therefore, the increase in cat population to be expected from the 10th year to the 17th year is:

C(17) - C(10) = 246 - 232 = 14 cats

7 0

1 year ago

Write nine and thirty-six hundredths with a decimal point

WINSTONCH [101]

The answer is 9.36. There is nine which equals 9, "and" means point or the decimal point and six means 6 and "hundredths" represents the position of the number which is in the hundredths place. When you count numbers to the right, you add "ths" so if there wasn't a 6 and just a 3, then it would be tenths.

5 0

3 years ago

The sum of 3 consecutive even integers is -42. Find the three integers.

Olenka [21]

Answer:

-13-14-15

Step-by-step explanation:

4 0

3 years ago

How to find the value of x and z

Setler79 [48]

Answer:

z = 86 °

and, x = 2

Step-by-step explanation:

We know that a straight line is a 180 degree-angle. So, we know that

94 + z must equal 180, because they are the only two angles that make up the straight line.

from this information, (that 94 + z = 180) we can easily find z.

(this is typically an intuitive method of subtracting 94 from 180)

94 + z = 180

-94 -94

z = 86 °

-- we know that the relation between z and (10x + 74) must also be equal to 180, as they make up a straight line

if z = 86, then we can know that (10x + 74) must be equal to

(10x + 74) + 86 = 180

- 86 -86

(10x + 74) = 94

10x + 74 = 94

- 74 - 74

10 x = 20

÷ 10 ÷ 10

x = 2

so, z = 86 °

and, x = 2

(I am assuming that this "unprotected placement assessment" has already taken place, and you would like to understand a question. Or, this is a practice assessment. Because there is no point to cheating on a placement assessment--you will just skip over material you don't know. And, it wouldn't align with Brainly's honor policy. Hope you learn from this!!)

7 0

2 years ago