y varies directly with the square of x.
If x= 1/2 and y = 12, find x when y = 432.

The percentage rate of increase or decrease of the function  y=99(1.04)^4 is 4%

This is a type of function that are of 3 main parts

the starting or initial value

base function

the exponents

Considering the given problem, y=99(1.04)^4

the starting = 99

the base = 1.04

the exponents = x

The base is what determines increase or decrease with a base of 1.04 shows a percentage increase is 4%

Learn more about exponential function here:

https://brainly.com/question/29716012

#SPJ1

Answer:10

Rewriting input as fractions if necessary:

3/5, 1/2

For the denominators (5, 2) the least common multiple (LCM) is 10.

LCM(5, 2)

Therefore, the least common denominator (LCD) is 10.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/5 = 3/5 × 2/2 = 6/10

1/2 = 1/2 × 5/5 = 5/10

Answer:

Step-by-step explanation:

1/2 + 3/5 = 5/10 + 6/10 = (5+6)/10 = 11/10 or 1 1/10 Your pair of fractions is 5/10 and 6/10

The solutions of the equation is found for the values of x = ±√2i or x = ±i.

An equation x⁴ + 3x² + 2 = 0, has been presented to us.

We are asked to discover the solutions of our supplied equation using substitution.

Our provided equation can be rewritten as:  x⁴ + 3x² + 2 = 0

Considering that: u = x²

u²  + 3u + 2 = 0

Factorizing the equation;

(u + 2)(u + 1)

or, u = - 2 and u = -1.

When we re-substitute the value of u, we obtain:

x² = -2 or x²  = -1

x = ±√-2 or x = ±√-1

x = ±√(-1).2 or  x = ±√-1

Now we shall employ imaginary unit i. That is a fact i²  = -1.

x = ±√i².2 or x = ±√i²

x = ±√2i or x = ±i

Consequently, the solution obtained for the equation are- x = ±√2i or x = ±i.

To know more about the imaginary number, here

https://brainly.com/question/13039076

#SPJ4

Answer:

The value of the discriminant is 17.

Step-by-step explanation:

⭐What is the discriminant?

Thus, we have to substitute the values a, b, and c from the quadratic equation we are given into the discriminant formula.

Let's identify what a, b, and c are.

[tex]y = ax^2 + bx + c[/tex]

[tex]y = \sqrt{2}x^2 -5x + \sqrt{2}[/tex]

a = [tex]\sqrt{2}[/tex]

b = -5

c = [tex]\sqrt{2}[/tex]

Now, substitute these values into the discriminant formula.

[tex]b^2 - 4ac =[/tex]

[tex](-5)^2 - 4(\sqrt{2}*\sqrt{2}) =[/tex]

[tex]25 -4(2) =[/tex]

[tex]25-8 =[/tex]

= 17

∴ The value of the discriminant is 17.

⭐if this response helped you, please mark it the "brainliest"!⭐

A) m∠ABC = 125° and AB ≅ DB ; B) ΔACD is isosceles with base AD ; D) CD = 52 cm.

What exactly are triangles?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the three sides' end-to-end connections at a point. The triangle's three angles add up to 180 degrees in total.

Knowing that ACD is isosceles with base AD indicates that AC and DC are congruent. As a result, we have two sides that are at an angle, or SAS.

A congruent relationship exists between AC and CD if we know that CD = 52 cm. As a result, we are left with two sides that include an angle.

Learn more about Triangles

brainly.com/question/2773823

#SPJ4

Answer:

1. Alternate exterior angles

2. Vertically opposite angles

3. Alternate interior angles

4. Corresponding angles

Answer:

Step-by-step explanation:

Let's try negative number for n.

n = -3

(n+1)/n

(-3 + 1)/-3 => -2/-3

=> 0.66

Which is less than 1, so therefore the original statement is false

The Least-squares problem that has minimal norm can be given using factorization.

The least squares method is used to find the best fit for a set of data points by minimizing the sum of the offsets from the plotted curve. Singular value decomposition (SVD) is a factorization of a real or complex matrix.

It is a widely used technique to decompose a matrix into several component matrices, exposing many of the useful and interesting properties of the original matrix. The singular value decomposition, guaranteed to exist, is A=UΣV.

When we have the equation system Ax=b, we calculate the SVD of A as A=UΣVT. The matrices U and VT have a very special property. They are unitary matrices. One of the main benefits of having unitary matrices like U and VT is that if we multiply one of these matrices by its transpose (or the other way around), the result equals the identity matrix.

The singular value decomposition (SVD) of matrix A is very useful in the context of least squares problems. It is also very helpful for analyzing the properties of a matrix.

To know more about the Least square method,

brainly.com/question/22513087

brainly.com/question/29560177

#SPJ4

Answer:

The answer is C, 1.5

Step-by-step explanation:

In order to find the constant ratio for successive y-values, you must divide a term by the preceding term.

7.5/5=1.5

The distance between the 1st and the 3rd poles is 140 meters.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

ESB poles are placed along a road 70 meters apart.

So the distance between two poles is 70 meters.

So the distance between 1 and 3rd will be = 2*70 =140metets

Hence, the distance between the 1st and the 3rd poles is 140 meters.

Learn more about arithmetic, by the following link.

https://brainly.com/question/13181427

#SPJ1

Complete Question:
Esb poles are placed along a road 70 metres apart. What is the distance between the 1st and the 3rd poles?

The value c guaranteed by the Intermediate Value Theorem over the interval [0, 2], where f(0) = 2, and f(2) = 10 is c = 1.5, f(1.5) = 5

The inequalities, 0 < 1.5 < 2, f(0) < f(1.5) < f2), verifies the Intermediate Value Theorem.

The Intermediate value theorem states that a value p that is between the f(a) and f(b), such that f(a) < p < f(b) or f(a) > p > f(b), then a number, c, exists between a and b such that f(c) = p

The derivative of the function f(x), f'(x) = 4·x² - 4·x + 2

The interval over which the Intermediate Value Theorem is to be verified = [0, 2]

The value of the function at the boundaries of the domain [0, 2], are;

f'(0) = 4 × 0² - 4 × 0 + 2 = 2

f'(2) = 4 × 2² - 4 × 2 + 2 = 10

Therefore, the value, f(c) = 5, indicates that we get;

f'(0) < f(c) < f'(2), and 0 < c < 2

We get; 4·x² - 4·x + 2 = 5

4·x² - 4·x + 2 - 5 = 0

4·x² - 4·x - 3 = 0

Completing the square

4·x² - 4·x = 3

x² - x = 3/4

x² - x + (-1/2)² = 3/4 + (-1/2)²

(x - 1/2)² = 3/4 + (-1/2)² = 1

x - 1/2 = ± √1 = ±1

x = 1 + (1/2) = 1.5, and x = -1 + 1/2 = -1/2

A value of x that satisfies the equation, f'(x) = 4·x² - 4·x + 2, is x = 1.5

Learn more about the Intermediate Value Theorem here:

https://brainly.com/question/2699598

#SPJ1

The values of x and y the triangles to the fight congruent are x = 3 and

y = 1.

What is congruent triangles?

Triangles with the same size and shape are said to be congruent. This implies that the corresponding sides and angles are both equal. Without comparing every angle and side of the two triangles, we can determine whether two triangles are congruent.

If given these triangles are congruent then all corresponding side must be equal

As we can see that both triangle are right triangle

Therefore hypotenuse of one triangle equal to another

x+1  = 4y   ..... (A)

And lenght ( height)  of one  must equal to another triangle

x = y +2          .... (B)

therefore

Plug the value of x = y + 2 in equation A

y + 2 + 1 = 4y

        3y = 3

          y = 1

and x = y+2

x = 1 + 2

x = 3

Hence, the values of x and y the triangles to the fight congruent are

x = 3 and y = 1.

To know more about congruent triangles, click on the link

https://brainly.com/question/2938476

#SPJ4

Complete question:

Complete question is attached below.

The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.

The confidence interval for a population proportion is calculated by the formula,

[tex]C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }[/tex]

Where [tex]\bar{p}[/tex] is the sample proportion and α is the level of significance.

It is given that,

The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are

The sample size n = 200;

The number of successes = 46

So, the sample proportion [tex]\bar{p}[/tex] = 46/200 = 0.23

For a 95% confidence interval, the level of significance is

α = 1 - 95/100 = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Then, the z-score for the value 0.025 is

[tex]z_{\alpha/2}[/tex] = 1.96 (from the table)

Thus, the confidence interval is

[tex]C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }[/tex]

⇒ C.I = 0.23 ± (1.96) × [tex]\sqrt{\frac{0.23(1-0.23)}{200} }[/tex]

⇒ C.I = 0.23 ± 1.96 × 0.0298

⇒ C.I = 0.23 ± 0.0584

So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.

Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.

Learn more about the confidence interval for a population proportion here:

https://brainly.com/question/16236451

#SPJ4

Answer: The expression which is not equivalent to (8 + (n - 4)) is (12+n) and this can be determined by using the arithmetic operations.

Given :

Expression - 8 + (n - 4)

To simplify the given expression following steps can be used:

Step 1 - Rewrite the given expression.

= (n - 4) + 8

Step 2 - Now, remove the parenthesis in the given expression.

= n - 4 + 8

Step 3 - Now, write 8 as the addition of 4 and 4.

= n - 4 + 4 + 4

Step 4 - Subtract 4 by 4.

= n + 4

To find the sum of 52 + 23 is the value is worked to be 75

Combining things and counting them as one big group is done through addition.

In math, addition is the process of adding two or more integers together.

Addends are the numbers that are added, and the outcome of the operation, or the final response, is referred to as the sum.

In this problem the addends include

The applying the addition operation

= 52 + 23

= 45

The sum is solved to be 75

Learn more on addition at:

https://brainly.com/question/20460320

#SPJ1

Answer:

A) AAA

Step-by-step explanation:

This proved similarity, but not necessarily congruency.  If the angles are the same in a triangle, they could be smaller and larger versions of themselves.  They will have the same shape, but not necessary the same size.  The side lengths will be proportional.  If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.

She needs 50 successful serves in the first 100 to attain her target. A 2% chance exists that this will occur.

She therefore has a 98% chance of requiring more than 100 serves to achieve her objective.

The study of probability, which is the potential of any event happening, is a field of mathematics that deals with the occurrence of random events. The probability value is given on a scale from 0 to 1.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

Jo must not complete 50 successful serves in her first 100 attempts in order to need more than 100 serves.

With n=100 and p=0.4, our probability sample of potential outcomes has a binomial distribution.

We will use a normal distribution to approximate n because it is a big enough number. The normal distribution's characteristics are as follows:

To ensure that she receives more than 100 serves, we must determine the likelihood that there will be fewer than 50 successful services. Such is:

We determine X's z value as follows:

Next, we have

That indicates that there is a 98% chance she will require more than 100 serves to accomplish her objective.

In order to learn more about probability visit the link:

https://brainly.com/question/11234923

#SPJ4

Using equation of motion to calculate the distance covered during acceleration is 540m

Distance is the total length between two points, while displacement is the length between two points, but it also takes into account the direction of the motion. Distance is a scalar quantity, while displacement is a vector quantity.

In this problem, we can either draw a velocity - time graph or proceed to solve using equations of motions.

We are required to calculate the distance covered during the period of acceleration.

Data;

a = v - u / t

a = acceleration

a = (60 - 30) / 12

a = 30 / 12

a = 2.5 m/s²

But we have another equation as

v² = u² + 2as

s = distance

60² = 30² + 2*2.5*s

x = 540

The distance covered is 540m

Learn more on distance here

https://brainly.com/question/28551043

#SPJ1

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest  y-intercept.

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also  is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

m = 8

Looking at the given options, only options that are correct are Options B and C.

Read more about Function Table at; https://brainly.com/question/9404442

#SPJ1

Answer:Bisect an angle :)

Step-by-step explanation:

For the study for investing the result of drugs in a particular diseases,

(1)This is an example of double blind experiment. So,correct option is option A

(2) The Correct option is option (C) i.e. the data can be treated as a random sample from the population of interest.

(3) The random variable X has approximately a normal distribution because of Central Limit Theorem i.e the Correct option is option (A).

Here , Spontaneous hydrostatic collapse is a disease in which teeth spontaneously turn into fluid. Jim Halpert decided to perform a study to find out if new drugs can prevent the development of this disease.

1. Since, neither researcher nor the employees were told who received which treatment, this is an example of a double-blind experiment.

2. In order to make thorough conclusions, the most important condition for statistical inference is usually that data can be treated as a random sample from the population of interest.

3. The sample mean age, X-bar of these residents has approximately a normal distribution because of the central limit theorem. Hence, we get all required answers for asking questions.

To learn more about Central Limit Theorem, refer:

https://brainly.com/question/14099217

#SPJ4

Answer: A) 2 buses B) 7 vans C) 21 cars

Step-by-step explanation:

You divide 84 by the number of people the vehicle can take.

For a. 84/42=2, so you need 2 buses.

For b. 84/12=7, so you need 7 vans

For c. 84/4=21, so you need 21 cars

Answer:

here u go

Step-by-step explanation:

The diagram below shows ΔOAG, where RN¯, NE¯, and ER¯ are mid-segments of the triangle.

If OA=(4x+3) units, NE=(2.5x) units, RN=4.5 units, and ER=(2x) units, determine the measures below.

The length of NE¯ is units.

The length of GO¯ is units.

The length of AG¯ is units.

The perimeter of ΔOAG is units.

An equation is quadratic if the greatest power of the coefficients is 2. Hence, for the given equations, only 6(2x + 4)2 = (2x + 4) + 2 is quadratic in nature.

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation with one variable that goes like this: x ax2 + bx + c = 0. with a ≠ 0 .

                              The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. The answer could be simple or complicated.

Why it is called quadratic equation?

In mathematics, a quadratic issue is any problem that involves multiplying a variable by itself, often known as "squaring."

                         This vocabulary is based on the fact that a square's area is equal to the product of its side length and itself. The Latin word quadratum, which means square, is where the word "quadratic" derives.

Learn more about quadratic equation

brainly.com/question/17177510

#SPJ4

The complete question is -

Select all of the following equation(s) that are quadratic in form.

x4 – 6x2 – 27 = 0

3x4 = 2x

2(x + 5)4 + 2x2 + 5 = 0

6(2x + 4)2 = (2x + 4) + 2

6x4 = -x2 + 5

8x4 + 2x2 – 4x = 0

The xx-value on the line when y=29 represents the length in inches of the catfish that would have a weight of 29.

Measuring is the act or process of determining the connection between two numbers. The act of measuring is the practice of putting a number on a characteristic of an object or event so that it can be compared to other things and phenomena. Calculating something's size or magnitude is what it is.

Comparing unknown amounts to known quantities is made easier by measurement. Measurement enables us to establish quantitative claims about the size, length, and speed of objects. Without measurement, the result will be inaccurate. Examples: Vehicle speed is measured using a speedometer.

To know more about measurement visit:

https://brainly.com/question/2107310

#SPJ1

The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

The variance of a random variable from its true population or sample mean is expected in probability theory and statistics. The term "variance" refers to a measurement of how widely apart a group of numbers are from one another.

Here,

Variance and standard deviation are both measures of spread. They calculate the deviation of each data point from the mean. The range of data increases with increasing variation. Using the original unit of measurement, the standard deviation measures the same thing as the variance (whereas variance is the original unit squared).

Therefore ,The relationship between the variance and standard deviation is: option a)The standard deviation is the square root of the variance.

To know more about variance , visit

https://brainly.com/question/13708253

#SPJ4

Answer:

The figure below shows the graph of rational function f; It has vertical asymptotes x 2 andx = 4, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (~3,-1). The equation for f (x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation: You can assume that f (x) is in simplest form_ 0 f() f() f ()

Given a line with the equation -3x+8y=-10, its slope can be calculated using the slope intercept form of the line that is 3/8.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. No matter which two locations on the line you choose, the slope of a line is always constant (it never varies). The slope of a line in mathematics indicates how steep a line is. It is also referred to as the gradient. The "change in y" over the "change in x" of a line is referred to as the slope.

Here,

-3x+8y=-10

y=mx+c

where m=slope of line

8y=3x-10

y=3x/8-10/8

slope=3/8

The slope of given line whose equation is -3x+8y=-10 is 3/8 using slope intercept form of line.

To know more about slope,

https://brainly.com/question/28771374

#SPJ4

Answer:

y = -3x + 1

Step-by-step explanation: