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A Venn diagram is shown below: a Venn diagram showing two categories, A and B. In the A only circle is 1 and 2, in the B circle

erica [24]

The correct answer is {1, 2, 5, 6}.

A intersect B would be {3, 4}; the complement of this is everything else.

7 0

3 years ago

Read 2 more answers

Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.

vlabodo [156]

Answer: C

Step-by-step explanation:

the normal distribution is symmetric about its mean.

so answer c) must be true.

6 0

3 years ago

Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams

hram777 [196]

Answer:

$X(16)=25.71grams$

Step-by-step explanation:

let $X(t)$ denote grams of $C$ formed in $t$ mins.

For $X grams$ of $C$ we have:

$\frac{2}{3}Xg$ of A and $\frac{1}{3}Xg$ of B

Amounts of A,B remaining at any given time is expressed as:

$40-\frac{2}{3}Xg$ of A and $50-\frac{1}{3}Xg$ of B

Rate at which C is formed satisfies:

$\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}$

Apply the initial condition, $X(0)=0$ ,to the expression above

$0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}$

Now at $X(8)=15$ :

$15=90-\frac{90}{90\times 8k+1} \ ->75=\frac{90}{720k+1}\\k=0.0002778$

Substitute in X(t) to get

$X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71$

5 0

2 years ago

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately ho

Julli [10]

70.1 ft² of fabric is needed by Lacy to make the sail boat.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let b represent the base of the triangle and h the height, hence:

sin(60) = h / 18

h = 15.6 feet

sin(30) = b / 18

b = 9 feet

The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²

70.1 ft² of fabric is needed by Lacy to make the sail boat.

Find out more on Trigonometric ratio at: brainly.com/question/6459892

3 0

2 years ago

Ahlojjhbvgfotfdgouyf<br> (word count)

AnnZ [28]

Answer:

12-{16-(5×2)}²

12-(16-10)²

12-(6)²

12-36

(-24)

8 0

2 years ago