Which inequality has a solid boundary line when graphed?
Oy<-x-9
Ov<1/9x+9
Oy>-1/9x
Oy more than or equal to 9x+

Answer:

B is greater than A by 1/4 of A

Step-by-step explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.

The probability of getting fewer than 3 correct answers is 0.1385

This is a binomial problem with n = 13

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r  . q^n-r

total choices = 13 x 3 = 39

p = P(correct answer) = 13/39 =1/3

Given: n = 13, p = 1/3, q = 1- 1/3 = 2/3

Fewer than 3 correct answers mean less than 3 correct answers

P(x<3) = P(x = 0) + P(x=1) + P(x=2)

P(x<3) = (13C0 × (1/3)^0 × (2/3)^13-0) + (13C1 × (1/3)^1 × (2/3)^13-1 + (13C2 × (1/3)^2 × (2/3)^13-2)

         = 0.005138 + 0.0333 + 0.1001

         = 0.1385

Therefore, the probability that the person gets fewer than 3 correct answers is 0.1385

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Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

Answer:

6 metres

Step-by-step explanation:

calculate the 9 and 7

branlies me pls

X is the input or independent variable

while f(x) is the ouput or dependend variable

Answer:

2. is b

3.is d

4.is b

5

Step-by-step explanation:

I've done these before

have a good grade

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The relationship between the graph is translation by 3 units left

The graph of y = |x+3| can be obtained from the graph of y = |x| by applying a horizontal translation of 3 units to the left.

Specifically, the graph of y = |x+3| is identical to the graph of y = |x| shifted to the left by 3 units.

Hence, the graph of y = |x+3| can be obtained from the graph of y = |x| by shifting the latter 3 units to the left, resulting in a horizontal translation.

The graphs are otherwise identical in shape and orientation.

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Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Each is a half of an apple, and there are 8 apples.

A factor is what you multiply.

So since there are 8 halves, you would do 8 x 1/2.

The answer to that equation is 4.

So that's how you get your answer, I hope this helps!

We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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Answer:

C. 148.413

Step-by-step explanation:

Hope it helps!!!

Answer: c

Step-by-step explanation:

Answer:

9 x 5

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9

9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 9 ^ 10

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9

5^9 x 9^10 x 5^9

5^18 x 9^10

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

\(Probability = 0.2470\)

Step-by-step explanation:

Given

\(Black = 4\)

\(White = 5\)

\(Total = 9\) i.e. 5 + 4

Required

Determine \(P(Black\ and\ White)\)

In probability;

\(P(A\ and\ B) = P(A) * P(B)\)

So:

\(P(Black\ and\ White) = P(Black) * P(White)\)

i.e. multiply the probability of selecting black by that of selecting white

\(P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}\)

\(P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}\)

\(Probability = \frac{20}{81}\)

\(Probability = 0.2470\)

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

Answer:

7/20

Step-by-step explanation:

add the probabilities together and minus it by the LCM which is 20

Answer:

Step-by-step explanation:

\(f(x)=4x^5 lnx\\f'(x)=4 *5 x^4 lnx+4x^5*\frac{1}{x} \\f'(x)=20 x^4 ln x+4x^4\)

The value of x in the equation x/3 = 9 is 27

A linear equation is an algebraic equation where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

Example of linear equation with two variables is 2x + y = 5, where x and y are the variables . 5x + 2 = 6 is an example of linear equation with one variable

in the expression x/3 = 9

We multiply both sides by 3

therefore x/3 × 3 = 9 × 3

x = 27

therefore the value of x in the equation x/3 = 9 is 27

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Answer:

CE = 3.5

Step-by-step explanation:

10 = 5

25 = x

x = 12.5 perimeter of DCE

4+5+x=12.5

x = 3.5

-120x^8y^7

To simplify the expression, you can use the product rule of exponents, which states that when you multiply two terms with the same base, you add the exponents.

Here, we have:

-12x^5y^2y(10x^3y^4)

= -12 * 10 * x^5 * x^3 * y^2 * y^5 (using the product rule to simplify y^2 * y^4 to y^6)

= -120x^8y^7 (using the product rule to simplify x^5 * x^3 to x^8)

Therefore, the simplified expression is -120x^8y^7.

your answer is

C. infinite

good luck :)

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Answer:

the first.option is the right answer

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

Answer:

Step-by-step explanation:

C=9P

P=2(L+W)

C=18(L+W)

C=18(8(12)+7(12))

C=18(96+84)

C=18(180)

C=$3240

So you do not have enough money to enclose the property.

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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