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3 years ago

The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140

Mathematics

2 answers:

sammy [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Molodets [167]3 years ago

5 0

<em><u>Answer:</u></em>

Natasha should have multiplied 140 by 2

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Which is a true conclusion based on the Venn diagram? If a number is prime, it is also odd. If a number is odd, it is also prime

krek1111 [17]

Answer:

If a number is prime, it may or may not be odd.

Step-by-step explanation:

The prime numbers are all natural numbers greater than 1, which are only divisible between themselves and between 1. For example: 2, 3, 5, 7, 11 ...

A Venn diagram is shown in the attached figure

There you can see that not all even numbers are primes for example, 4 is an even number, but it is not a prime number. Then, not all odd numbers are prime numbers, for example 9 is an odd number, but it is not a prime number.

Neither all prime numbers are odd, for example the number 2 is a prime number and it is not odd.

Notice in the attached Venn diagram that the set of prime numbers contains even numbers and also odd numbers.

Therefore, the correct statement is the last option:

If a number is prime, it may or may not be odd.

7 0

3 years ago

A box contains 9 identical glass spheres that are used to make snow globes.

DIA [1.3K]

Uhmmm B I pretty sure

5 0

3 years ago

A car was purchased for $34,000. The car depreciates by 27% of each year

jekas [21]

Answer: a) $778.67 b) 19 years

Step-by-step explanation:

The formula you would use is

$a_{n}=P(1-r)^{n}$

where a is the amount

n is the length of time

P is the principle

and r is the rate in decimal form

$a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67$

put your initial equation into a graphing calculator and use the table function to find that after 18 years it is worth 117 and in 19 years 86-

7 0

3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago

A terminal ray passes through (12,-5). Fine the value to all six trig functions

Harman [31]

Okay, here we have this:

Considering the provided angle, we are going to calculate the requested trigonometric functions, so we obtain the following:

So the first thing we will do is calculate the length of the hypotenuse, that is, the distance between the given point and the origin, then we have:

$\begin{gathered} r=\sqrt{(12-0)^2+(-5-0)^2} \\ r=\sqrt{12^2+(-5)^2} \\ r=\sqrt{144+25} \\ r=\sqrt{169} \\ r=13 \end{gathered}$

Now we proceed to find the value of each ratio:

$sin\beta=\frac{y}{r}=\frac{-5}{13}$ $cos\beta=\frac{x}{r}=\frac{12}{13}$ $tan\beta=\frac{y}{x}=\frac{-5}{12}$ $csc\beta=\frac{r}{y}=\frac{13}{-5}=-\frac{13}{5}$ $sec\beta=\frac{r}{x}=\frac{13}{12}$ $cot\beta=\frac{x}{y}=\frac{12}{-5}=-\frac{12}{5}$

8 0

2 years ago