Find the probability that a
randomly selected point within the
circle falls in the white area.
r = 4 cm
a = 3.2 cm
s = 4.7 cm
p = [?]
Enter a decimal rounded to the nearest hundredth.

The most appropriate choice for distributive property of algebraic expression will be given by-

21y is the required equivalent expression

What is distributive property of algebraic expression?

At first it is important to know about algebraic expression.

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division.

Distributive property is a property which connects both addition and multiplication.

Suppose a, b and c are three numbers. Distributive property implies

a \(\times\) (b + c) = a \(\times\) b + a \(\times\) c

Here,

y(6 + 15)

y \(\times\) (6 + 15)

6 \(\times\) y  + 15 \(\times\) y

6y + 15y

21y

This is the required equivalent expression

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The answer is circular plate. Since it is a circle, it will display symmetry even when rotated.

Answer:

statement 2 is the converse of statement 1

Answer:

Six is divisible by 3, and 10 is a multiple of 2.

The average of the data is less than the largest value in the data, or it’s equal to the largest value in the data.

The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

Step-by-step explanation:

They are 3 answers.

Answer:

8.7 m
Option B

Step-by-step explanation:

The tree, the shadow and the line of sight from the tip of the shadow to the top of the tree form a right triangle

The angle formed is 30°

Using the relationship
\(\tan 30 = \dfrac{h}{15}\)

we get
\(h = 15 \times \tan 30\)

\(h = 15 \times \dfrac{1}{\sqrt{3}}\)

\(h = 8.66 m\)

Rounded up this would be 8.7 m which is option B

Answer:

u got the right answer in the picture

Answer:

y=3x+1

Step-by-step explanation:

4--2=6

1--1=2

6/2=3

slope is 3

4=3(1)+b

4=3+b

4-3=3-3+b

1=b

1 is the y intercept

Answer:

    y = 3x + 1

Step-by-step explanation:

(x₁, y₁) = (-1, -2)   & (x₂ , y₂) = (1, 4)

\(slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

        \(= \frac{4-[-2]}{1-[-1]}\\\\= \frac{4+2}{1+1}\\\\= \frac{6}{2}\\\\= 3\)

m = 3

y -y₁ = m(x - x₁)

y - [-2] = 3(x - [-1])

y + 2 = 3(x +1)

y + 2 = 3x + 3

      y = 3x + 3 -2

      y = 3x + 1

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

7853.98cm²

Step-by-step explanation:

So we know that to find the area of a circle the formula is A=π r²

A = π (50)²

A = π (2500)

A = 7853.98cm²

Answer:

-24

Step-by-step explanation:

-9.5 - 8 would be -17.5. subtract 6 from that and you get -24, the answer.

Answer:

lien earned 29950, husband earned 28650

Step-by-step explanation:

you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Answer:

12/55

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that the bag contains 8 red balls and 3 white balls, the probability of picking a red ball

p(r) = 8/(8+3) = 8/11

Probability of picking a white ball

= 3/11

when a red ball is picked first, the total number of balls reduces to 10 hence the probability that the second ball is white, given that the first ball is red

=8/11 * 3/10

= 24/110

= 12/55

Answer: x=27

Step-by-step explanation:

Assumption the 3's are the bases

\(log_{3} 3x +log_{3} 3=5\)              >combine using multiplication log rule (logs with      

                                             same base, that are being added can be  

                                              combined with multiplication)

\(log_{3}( 3x)(3) =5\\\)                  >simplify

\(log_{3}( 9x) =5\\\)                      >rewrite into exponent form

\(3^{5} = 9x\)                             >simplify

243 = 9x

x=27

Answer:

x = 27

Step-by-step explanation:

using the rules of logarithms

• \(log_{b}\) b = 1

• \(log_{b}\) x = n ⇒ x = \(b^{n}\)

then

\(log_{3}\) (3x) + \(log_{3}\) 3 = 5

\(log_{3}\) (3x) + 1 = 5 ( subtract 1 from both sides )

\(log_{3}\) (3x) = 4

3x = \(3^{4}\) = 81 ( divide both sides by 3 )

x = 27

Answer:

Amadi: 20 years old

Chima : 4 years old

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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Answer:

Step-by-step explanation:

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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We can now obtain the length of arc KJG

Here, theta is 334 degrees, and the radius r = 21/2 = 10.5 in

Therefore, the length of arc KJG is 61.21 inches.

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Grayson would need to invest approximately $10,994 to the nearest dollar for the value of the account to reach $15,000 in 5 years.

What is continuously compounded interest?

Continuous compounded interest indicates that an account balance is constantly earning interest and reinvesting that money so that it, too, earns interest.

The formula for continuous compounding is given by:

\(A = Pe^{rt}\)

where A is the amount in the account after t years, P is the principal amount (the amount invested), r is the annual interest rate, and e is the base of the natural logarithm.

We want to find P when A = $15,000, r = 0.04, and t = 5 years.

Substituting these values into the formula, we get:

\(15000 =Pe^{0.04*5}\)

Simplifying the right-hand side, we get:

\(15000 =Pe^{0.2}\)

Dividing both sides by e^(0.2), we get:

\(P= \frac{15000}{e^{0.2}}\)

Using a calculator, we get:

P ≈ $10,994

Therefore, Grayson would need to invest approximately $10,994 to the nearest dollar for the value of the account to reach $15,000 in 5 years.

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The solution of x in the given expression \(\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}\) is 4. However, if it is \(\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}\), it is 6.

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

\(\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}\)

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

\(\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}\)

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

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Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

degree- 1

name- binomial i think

Answer:

\(296.693\leq x\leq 319.307\)

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

\(x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }\)

Where x' is the sample mean, s is the population standard deviation, n is the sample size and \(z_{\alpha /2}\) is the z-score that let a proportion of \(\alpha /2\) on the right tail.

\(\alpha\) is calculated as: 100%-99%=1%

So, \(z_{\alpha/2}=z_{0.005}=2.576\)

Finally, replacing the values of x' by 308, s by 17, n by 15 and \(z_{\alpha /2}\) by 2.576, we get that the confidence interval is:

\(308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307\)

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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