Help asap!!!!!!!!!!!!!

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

5/6 is greater

Step-by-step explanation:

Fill in the blanks with the fractions 3/4 and 5/6. Simply transmit their denominators to other fractions while altering their location to cross multiply them ( numerator should be on same side e.g the fractions with numerator 3 is on the left side, so it should be there only).

The independent variable is time.

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Given:

r (min)                  d (°C)

0                            105

4                            98.4

8                            85.4

12                            74.8

16                            68.7

20                            62.1

As, from the table it can be seen that the temperature vary in accordance with time but the time isn't depend on any variable.

Hence, the independent variable is time.

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Answer:

2z(2z+1)

Step-by-step explanation:

yup

9514 1404 393

Answer:

  10

Step-by-step explanation:

Possible tower heights using 3 blocks are ...

  {9, 10, 11, 12, 14, 15, 16, 19, 20, 24}

There are 10 different heights possible.

_____

Each block can be used 1, 2, or 3 times.

Using a 3 in block as the smallest, we have ...

  3+3+3 = 9

  3+3+4 = 10

  3+3+8 = 14

  3+4+4 = 11

  3+4+8 = 15

  3+8+8 = 19

Using a 4-in block as the smallest, we have ...

  4+4+4 =12

  4+4+8 = 16

  4+8+8 = 20

And ...

  8+8+8 = 24

Answer:

x

Step-by-step explanation:

We need to solve this equation by graphing. We need to find what roots will make our equation equal zero. This is the same as drawing a line

\(y = 0\)

and see what points intercepts both graphs.

According to the graph above, one root are between 0 and 0.5 and the other are between 4 and 4.5.

We can find it actual value by solving it

\( - 1 + \frac{9}{2} x - {x}^{2} = 0\)

\( - {x}^{2} + \frac{9}{2} x - 1 = 0\)

Apply Quadratic Formula, we get

\( \frac{9 + \sqrt{65} }{4} \)

and

\( \frac{9 - \sqrt{65} }{4} \)

Which gives us approximately

x=4.27 and 0.23

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You have a graph of the function ...

  y = 3 +4x -x^2

You want to find solutions to the equation ...

  0 = -1 +9/2x -x^2

This second equation can be made equivalent to ...

  3 +4x -x^2 = p

for some suitable function p.

We can find that function using the relation ...

  (3 +4x -x^2) -p = 0 = -1 +9/2x -x^2

Solving for p, we get ...

  (3 +4x -x^2) -(-1 +9/2x -x^2) = p

  3 +4x -x^2 +1 -9/2x +x^2 = p . . . . . . . eliminate parentheses

  4 -1/2x = p . . . . . . . . . . . . . . . . . . simplify

The line we want is ...

  p = -1/2x +4 . . . . . . . line with y-intercept 4 and slope -1/2

Where this line crosses the graph you have, the x-coordinates are the solutions of the equation -1 +9/2x -x^2 = 0.

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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b) The p-value of a chi squared value of 4 and

c) The probability mass of observing 50 successes in 50 binomial trials.

are the following that correspond to a probability of an event occurring.

When the null hypothesis is assumed to be true, the p-value of a chi squared value of 4 represents the likelihood of receiving a test statistic at least as extreme as the observed one. This depicts how likely it is that the event will occur.

The possibility of the event occurring is represented by the probability of seeing 50 successes in 50 binomial trials, which is the probability of success in each trial multiplied by the quantity of trials.

Since it represents the region under a continuous probability distribution function rather than the likelihood of a discrete event, the integral of the density of the chi-squared distribution between and does not represent the likelihood that an event will occur.

Similar to the probability density of the chi squared distribution, the probability density of the chi squared distribution measures the likelihood that a random variable will have a value within a given range even when the chi-squared value does not correspond to a probability of an event occurring.

Complete Question:

Which of the following correspond to a probability of an event occurring?

(i.e. when I get the value, I can determine how often the event(s) being described is likely to occur in a random sample)?

Select any that apply.

a) The integral of the density of the chi-squared distribution between chi-squared values of and 5

b) The p-value of a chi squared value of 4

c) The probability mass of observing 50 successes in 50 binomial trials

d) The probability density of the chi squared distribution when the chi-squared value

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Answer:

It is Option D

Step-by-step explanation:

-2 + 12 = 10

and

8 - 6 = 2

Answer:

yes they are similar

step 1: flip it across the y-axis

step 2: translate it 4 units to the right and 5 units down

step 3: dilate it by a factor of 1/2

Step-by-step explanation:

The annual interest rate for the given compound interset is 6%

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.  

Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.

A = P(1+r)ⁿ

2560 = 2250(1+r)²

2560 / 2250 = (1+r)²

1.13 = (1+r)²

Taking roots,

1+r = √1.13

r = 0.06

r = 6%

Hence, the annual interest rate for the given compound interset is 6%

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To find the local and absolute maximum and minimum points of the function f(x) = (3/5)x^5 - 9x^3 + 2 on the closed interval [-4,5], we need to follow these steps:

a) Find all critical numbers (x-coordinates only):

To find the critical numbers, we need to identify where the derivative of the function is zero or undefined. Let's find the derivative of f(x) first:

f'(x) = 3x^4 - 27x^2

Now, set the derivative equal to zero and solve for x:

3x^4 - 27x^2 = 0

Factoring out a common factor of 3x^2, we get:

3x^2(x^2 - 9) = 0

This equation is satisfied when either 3x^2 = 0 or x^2 - 9 = 0.

For 3x^2 = 0, we have x = 0.

For x^2 - 9 = 0, we have x = -3 and x = 3.

Therefore, the critical numbers (x-coordinates) are 0, -3, and 3.

b) Find the intervals on which the graph is increasing (mark critical numbers):

To determine the intervals of increasing, we need to analyze the sign of the derivative on each side of the critical numbers. We create a sign chart for f'(x):

Interval (-∞, -3): Choose a test point x < -3, e.g., x = -4

f'(-4) = 3(-4)^4 - 27(-4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Interval (-3, 0): Choose a test point x between -3 and 0, e.g., x = -1

f'(-1) = 3(-1)^4 - 27(-1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (0, 3): Choose a test point x between 0 and 3, e.g., x = 1

f'(1) = 3(1)^4 - 27(1)^2 = -24 < 0

The derivative is negative, indicating the graph is decreasing.

Interval (3, ∞): Choose a test point x > 3, e.g., x = 4

f'(4) = 3(4)^4 - 27(4)^2 = 768 > 0

The derivative is positive, indicating the graph is increasing.

Therefore, the graph is increasing on the intervals (-∞, -3) and (3, ∞).

c) Find the intervals on which the graph is decreasing (mark critical numbers):

From the analysis above, we can see that the graph is decreasing on the intervals (-3, 0) and (0, 3).

d) Find all local maximum points:

To find the local maximum points, we need to examine the points where the graph changes from increasing to decreasing. By observing the sign changes in the derivative, we can identify potential local maximum points.

From our analysis in part b, we can see that the graph changes from increasing to decreasing at x = -3 and x = 0. Therefore, these are the local maximum points.

e) Find all local minimum points:

To find the local minimum points, we need to examine the points where the graph changes from decreasing to increasing. By observing the sign changes in the derivative, we can identify potential local minimum points.

From our analysis in part c, we can see that the graph changes.

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Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

$75668.4 is the interest earned in 6 months.

percentage, a relative value indicating hundredth parts of any quantity.

Tom has $84,076 in a savings account that earns 15% annually.

The interest is not compounded.

We have to find the interest he earned in 6 months.

Use the formula i = prt,

where i is the interest earned,

p is the principal (starting amount),

r is the interest rate expressed as a decimal,

and t is the time in years.

i=84076×15/100×6

=84076×0.15×6

=$75668

Hence, $75668.4 is the interest earned in 6 months.

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Answer:

\(b^\frac{5}{12}\)

The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.

In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.

here, we have,

∫(3-2x)^10 dx

now, let, 3-2x=u

so, -2. dx = du

i.e. by substitution we get,

∫u^10 du/-2

=1/-2 . ∫u^10 du

we know, ∫x^n= x^n+1/ (n+1) +c

so, we get,

⇒1/-2.1/11. u^11 +C

=-1/22.(3-2x)^11 +C

where, c=constant.

Hence, The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.

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To write a quadratic function in standard form that passes through the points (-3,0), (8,0), and (-2,10), we can start by using the point-intercept form of a quadratic function:

y = a(x - h)^2 + k

where (h,k) is the vertex of the parabola and a is a scaling factor. Since the parabola passes through the points (-3,0) and (8,0), we can write:

0 = a(-3 - h)²+ k

0 = a(8 - h)² + k

Simplifying these equations, we get:

9a + k = 0

64a + k = 0

Solving for k in terms of a, we get:

k = -9a

k = -64a

Setting these two expressions equal to each other, we get:

-9a = -64a

Solving for a, we get:

a = 0

This means that the parabola is a horizontal line, and the vertex is halfway between the x-coordinates of the two given points on the y-axis, which is (-1.5,0). Therefore, the equation of the parabola is:

y = a(x - h)² + k

y = 0(x + 1.5)² + 0

Simplifying this equation, we get:

y = 0

Therefore, the quadratic function in standard form that passes through the points (-3,0), (8,0), and (-2,10) is:

y = 0x²+ 0x + 0

or simply

y = 0

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The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

Answer:

984

Step-by-step explanation:

Answer:

reflective.

Step-by-step explanation:

this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.

Answer:

-1.5

Step-by-step explanation:

The probability that the spinner lands on yellow and the coin toss is heads is 9/20.

To find the probability that the spinner lands on yellow and the coin toss is heads, we need to determine the probability of each event and then multiply them together.

The probability of the spinner landing on yellow is given by the number of yellow sections (18) divided by the total number of sections (20). Therefore, the probability of the spinner landing on yellow is 18/20 or 9/10.

The probability of the coin toss resulting in heads is 1/2 since there are two equally likely outcomes, heads and tails.

To find the probability of both events occurring together, we multiply the individual probabilities:

Probability (Spinner lands on yellow and Coin toss is heads) = Probability (Spinner lands on yellow) * Probability (Coin toss is heads)

= (9/10) * (1/2)

= 9/20

Therefore, nine out of twenty times, the spinner will fall on yellow and the coin will come up heads.

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Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!