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2 years ago

15

The tree diagram represents an experiment consisting of two trials. P(D) = [? ]

1 answer:

joja [24]2 years ago

5 0

Answer:

9 over 11 plus 8 over 12 = 2.7

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What is m∠A ?<br> Please see attachment <br> (The Triangle Sum Theorem)

goblinko [34]

The triangle sum theorem says all 3 interior angles must equal 180 degrees.

so, 43 + 35 = 78. [ 180 - 78 = 102 degrees for the missing angles shared by the 2 triangles.

102 + 18 = 120. [180 - 120 = 60}

leaving the measure of Angle A as 60 degrees.

5 0

3 years ago

Read 2 more answers

I don't want the answer, I want to know how to do it. What is the ratio of 4/5 to 7/15?

Ostrovityanka [42]

Answer:

$\displaystyle 1\frac{5}{7}$

Step-by-step explanation:

$\displaystyle \frac{4}{5} \div \frac{7}{15} = \frac{4}{5} \times \frac{15}{7} = \frac{60}{35} = 1\frac{5}{7}$

I can assist whenever I can.

6 0

3 years ago

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Bas_tet [7]

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)

6 0

3 years ago

What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

<u>Algebra I</u>

Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

<u>Step 1: Define</u>

$f(x) = \frac{1}{\sqrt{800-2x} }$

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

$u = 800-2x\\du = -2dx$

<u>Step 3: Integrate</u>

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

<u>Step 4: Identify Domain</u>

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

⚠️⚠️⚠️⚠️⚠️ 15 points

Helga [31]

Answer:

The answer is (4x-1)·(3x+2)

Step-by-step explanation:

3 0

3 years ago