Question 5 of 44
What is the measure of BA (the minor arc) in the diagram below?

The statements are true for the given geometric sequence.

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x + 1) = 3/2(f(x )) when f(1) = 4.

The sequence shows exponential growth.

We have given the graph.

What is the geometric sequence?

A geometric sequence is a sequence in which the ratio of every two successive terms is a constant.

The graph is given below we can see that

The domain is the set of natural numbers.

The recursive formula representing the sequence is

f(x + 1) = 3/2(f(x )) when f(1) = 4.

The given graph grows exponentially.

The sequence shows exponential growth

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Answer:

a, c, e

The domain is the set of natural numbers.

The recursive formula representing the sequence is f(x+1) = Three-halves(f(x)) when f(1) = 4

The sequence shows exponential growth.

Step-by-step explanation:

The answer to your question is 1.25

Answer:

I'm not to sure

Answer:

inverse of 5/42 = -42/5 = -8 2/5 = -8.4

inverse of 15/42 is flipped -42/5 = -2.8

The decimal steps are;

if 5/42 then show -1/1 = 5/42 = 42/5 = 8 2/5

= 8.4

if 15/42 then -1/1  ÷15/42  = -14/5

=  -2.8

Step-by-step explanation:

if the question was 15/42 then we divide by -1 /15/42 = -42 / 15

so we can divide all by -1 or -1/1

The calculation steps are ;

-1/1÷  15/42  

=  -1/1×42/15

= -1 × 42 /  1 × 15

=  -42/15

The decimal steps are;

if 5/42 then show -1/1 = 5/42 = 42/5 = 8 2/5

= -8.4

if 15/42 then -1/1  ÷15/42  =–14/5

=  –2.8

Answer: D: The median for town A, 30 Degrees, is greater than the median for town B, 25 Degree.

Step-by-step explanation:

The median means the middle number. Town A median is 30 and Town B median is 25.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The IQR is about middle 50% of data range. This is the difference between Q3 and Q1.

Town A

Town B

Correct choice is C

Answer:

3

Step-by-step explanation:

\(3+11t-9u\\\\\rightarrow\boxed{t = 9; u = 11}\\\\3+11(9)-9(11)\\\\3+99-99\\\\102-99\\\\\boxed{3}\)

Hope this helps.

ok

the answer is 42

:)

Answer:
3 toppings??, sorry if its wrong im confused on the last part (c)

Step-by-step explanation:

16+1.25x≥20
-16            -16
    1.25x ≥4
    1.25 ≥ 1.25               4/1.25=
     x ≥ 3.2

Answer:1

Step-by-step explanation:

Answer:

a₁ = 5

a₂ = 8

a₃ = 13

a₄ = 20

Step-by-step explanation:

Given sequence formula

aₙ = n² + 4

Requirement of the question

Find the 4 terms in the sequence

Substitute 4 values into the sequence formula

a₁ = (1)² + 4 = 1 + 4 = \(\Large\boxed{5}\)

a₂ = (2)² + 4 = 4 + 4 = \(\Large\boxed{8}\)

a₃ = (3)² + 4 = 9 + 4 = \(\Large\boxed{13}\)

a₄ = (4)² + 4 = 16 + 4 = \(\Large\boxed{20}\)

Hope this helps!! :)

Please let me know if you have any questions

Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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Answer:

NICE

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

f(x) has two complex roots and one real root.

The solution is Option B.

f(x) has two complex roots and one real root

The equation f ( x ) has 2 complex roots and one real root

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be expressed as f ( x )

Now , the solution of the f ( x ) will be a third degree polynomial

So , the total number of roots for the equation is 3 roots

One root of a third degree polynomial function is -5+2i

So , another complex root will be -5-2i

The second root will be the conjugate of the complex root

So , the conjugate of the complex number a + ib is a - ib

So , the first root is -5 + 2i

The second root is -5 - 2i

And the third root is a real number root

Therefore , the 3 roots of the equation are -5 + 2i , -5 - 2i and a real root

Hence , The equation f(x) has two complex roots and one real root

The equation f ( x ) has 2 complex roots and one real root

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Answer:

429.34

Step-by-step explanation:

I know trust me

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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This can be calculated by dividing the total number of pushpins by the area of the bulletin board. The correct answer is 87.5 pins/ft².

It is calculated by multiplying the length of a surface by its width, and is typically measured in square units such as square meters or square feet.

Since the area of the bulletin board is given on the scale drawing, it can be determined by first calculating the length and width of the board using the given points.

The length of the board is 3.5 - 0 = 3.5 ft and the width of the board is 2.5 - 0 = 2.5 ft.

Therefore, the area of the bulletin board is 3.5 x 2.5 = 8.75 ft².

To calculate the density of pins, the total number of pins (100) is divided by the area (8.75 ft²) to get a density of 87.5 pins/ft².

This is rounded to the nearest tenth, which makes the answer 87.5 pins/ft².

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Answer:

Step-by-step explanation:11.4pins/ft^2

The range of the function y = 2sin(x) is the set of all possible values that the function can take. The range of the function y = 2sin(x) is [-2, 2].

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function, sin(x), has a range between -1 and 1, inclusive. When we multiply the sine function by 2, as in the case of y = 2sin(x), the range is expanded.

Multiplying the range of sin(x) [-1, 1] by 2 gives us the range of 2sin(x), which is [-2, 2].

Therefore, the range of the function y = 2sin(x) is [-2, 2].

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The recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

We can use the method of finite differences to find a possible recursive formula for this sequence.

First, let's compute the first few differences:

f(4) - f(1) = 6

f(7) - f(4) = 6

Since the second differences are zero, we can assume that the sequence is a quadratic sequence. Let's write it in the form f(n) = an^2 + bn + c. We can solve for the coefficients using the given values:

f(1) = a(1)^2 + b(1) + c = 6

f(4) = a(4)^2 + b(4) + c = 12

f(7) = a(7)^2 + b(7) + c = 18

Solving for a, b, and c, we get:

a = 1

b = 5

c = 0

Therefore, the recursive formula for this sequence is f(n) = f(n-3) + 6n - 18.

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Kindly, check below

1) As we can see, this is a piecewise function. So, let's plot that accordingly to each interval.

2) So, we can represent that this way:

Note that the open dot does not include the endpoint. And closed dots include the endpoints.

Thus, this is the answer.

The number of boxes that can fit are = 646 boxes

given,

The key difference between cube and cuboid is: a cube has six square-shaped faces of the same size but a cuboid has rectangular faces. Although both cube and cuboid looks the same in structure they have a few different properties based on edge-length, diagonals and faces.

sides of trailer are - \(28f, 8\frac{1}{3} f, 9\frac{1}{6} f\)

side of box = \(1\frac{1}{2}\) f

Now,

Volume of the Trailer = Length × Breadth ×  Height

= 28 × 17/2 × 55/6

= 2181.6 f

Volume of Box = a× a× a

= 3/2 × 3/2 × 3/2

= 27/8

= 3.375 f

No of Boxes = \(\frac{Volume of trailer}{Volume of box}\)

= 2181.6 / 3.375

= 646.4 or 646 Boxes

So It can fit 646 Boxes inside it

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Answer:

the 9 in the tenths place is 10 times more than the one in the hundredths place

Step-by-step explanation:

Given that

There is a number i.e. 3.9928

Here we need to compare the value of the 9 in the tenth place to the value of the 9 in the hundredth place

The 9 in the tenth place has a value of 0.9

And, The value of 9 in the hundredth place contains a value of 0.09

So,

= 0.09 ÷ 0.9

= 0.1

= 1 ÷ 10

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

A

Step-by-step explanation:

Here, we are tasked with finding the order of magnitude.

What we are basically asked here is to write the number in powers of ten.

Thus

4,000,000 = 4 * 10^6

We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6

An unfair coin has probability 0.3 of landing heads. the coin is tossed three times. The probability that it lands heads at least once is 0.657

The probability of getting a head = 0.3

Probability of not getting a head = 1- 0.3 = 0.7

Probability of getting at least one head in three tosses = 1 - probability of getting no head in 3 tosses

Since, the outcome of each toss is independent,

Probability of getting no head in 3 tosses = 0.7 * 0.7 * 0.7 = 0.343

Probability of getting at least one head in three tosses = 1 - 0.343 = 0.657

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For the parallel lines (l//m), the value of x is equal to 25 and the converse used is the alternate exterior angle theorem.

Parallel lines simply refers to two (2) lines that always have the same or equal distance apart and never meet.

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure and magnitude.

By applying the alternate exterior angle theorem to parallel lines (l//m), we have:

4x - 13 = 2x + 37

4x - 2x = 37 + 13

2x = 50

x = 50/2

x = 25

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Answer:

35+3I

Step-by-step explanation:

35+3I

Answer:

Step-by-step explanation:

\(6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14\)

Therefore the answer to the problem is that the sample taken for study is 20 cheerleaders .

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Here,

The sample of this study is the 20 cheerleaders which are taken for study.

Explanation: As the study of banana effect on speed and endurance of high school cheerleaders is been studied on the 20 selected cheerleaders from high schools in california so, as they are only 20 cheerleaders not all cheerleaders from california thus, the sample available is 20 cheerleaders so answer of sample becomes 20 cheerleaders.

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Answer:

  B. 5 seconds

Step-by-step explanation:

A graphing calculator shows the answer easily.

__

h(t) = 0 = -16t^2 +400

t = √(400/16) = 5

It will take 5 seconds for the sandbag to hit the ground.