Solve the system of equations using the linear combination method.
4x−2y=7
3x+2y=0

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

To learn more about Pythagorean theory, refer to:

https://brainly.com/question/343682

#SPJ4

Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

Answer:

34

Step-by-step explanation:

1.) 14 + 18 ÷ 2 × 3 - 7

2.) 18 ÷ 2 = 9

3.) 14 + 9 × 3 - 7

4.) 9 × 3 = 27

5.) 14 + 27 - 7

6.) 14 + 27 = 41

7.) 41 - 7 = 34

There are likely to be 190 elk infected with the parasite in the population of 4,750 elk at the wildlife preserve.

Now, To estimate the number of elk that are likely to be infected, we can use the sample proportion of infected elk to the total population of elk.

Hence, The sample proportion of infected elk is,

⇒ 2/50 = 0.04.

We can use this proportion to estimate the proportion of infected elk in the entire population of ;

4,750: 0.04 = x/4750

Solving for x, we get:

x = 0.04 × 4750

x = 190

Therefore, there are likely to be 190 elk infected with the parasite in the population of 4,750 elk at the wildlife preserve.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To know more about interval refer here:

https://brainly.com/question/11051767#

#SPJ11

Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

To know more about  area of loop of the curve refer to:

brainly.com/question/30114510

#SPJ4

The total number of students in the sample who visited city bars every weekend is an example of a count or a discrete variable.

In this scenario, the chancellor of Ferris State University wanted to investigate the portion of students who visited city bars every weekend. To gather data, the advisor took a random sample of 250 students from the university. The variable of interest, in this case, is the number of students in the sample who visited city bars every weekend.

Since the variable represents a count of students, it is a discrete variable. Discrete variables take on specific values and cannot be divided into smaller units. In this context, the total number of students who visited city bars every weekend in the sample can only be a whole number, such as 0, 1, 2, and so on.

Count variables are commonly used in statistical analysis to study events or behaviors that can be counted, such as the number of occurrences of an event, the number of individuals in a category, or in this case, the number of students who visited city bars every weekend. By examining the count variable, researchers can gain insights into the prevalence or frequency of a particular behavior or event within a population.

Learn more about variable here:

https://brainly.com/question/29583350

#SPJ11

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

To learn more about the hypothesis;

brainly.com/question/29519577

#SPJ1

The complete question is given in the image.

Answer:

Independent variable is the measurement that that changes and the dependent variable is the result of the independent variable (aka the one that is being measured).

Step-by-step explanation:

Answer:

6.97

Step-by-step explanation:

All you have to do is divide 13.94 by 2!

Answer:

p=   100 /697  or  =6.970

Step-by-step explanation:

Answer:

Step-by-step explanation:

math   way you can put this picture in and it legit tells u the answer and explains it trust me

The values that represent the inverse of the function which is represented in the table above include the following:

x  4    2    1    3   4

y -2   -3   6   7    5

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should interchange (swap) both the input value (x-value) and output value (y-value). This ultimately implies that, the inverse relation of any function has its input value (x-value) and output value (y-value) interchanged (swapped) as follows;

x           y

4          -2

2          -3

1           6

3          7

4          5

In conclusion, we can logically deduce that the above inverse relation is not a function because the same input value (4) appears more than once with different output values (-2 and 5).

Read more on inverse function here: https://brainly.com/question/29011518

#SPJ1

Answer:

A) The parallelograms all have congruent sides and angles.

Step-by-step explanation:

Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.

In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.

Answer:

C

Step-by-step explanation:

I got it wrong because I listened to the other guy :\

Have a great day!

ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

i am not sure man

Step-by-step explanation:

Answer:

6x^2 +7x-20

Step-by-step explanation:

Answer:

6x^2 + 7x - 20

Step-by-step explanation:

First Terms: 2x * 3x = 6x^2

Out Side: 2x * -4 = -8x

Inside: 5*3x = 15x

Last:  5* - 4 = - 20

Answer: 6x^2 - 8x + 15x - 20

Answer: 6x^2 + 7x - 20

Answer:

25

Step-by-step explanation:

124% = 31

1% = 0.25

100% = 25 biscuits

...YUMMY!

Answer:

24

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

9*10=90+7=97

hope it helps

Answer:

x = 10

Step-by-step explanation:

\(9x +7 = 97\\Collect-like-terms\\9x = 97-7\\9x = 90\\Divide-both-sides-of-the-equation-by-9\\\frac{9x}{9} =\frac{90}{9} \\x = 10\)

Answer:

the last three

Step-by-step explanation:

cuz im big brains like that

Answer:

Step-by-step explanation:

x+75=85 is incorrect as x+75=95

so C is wrong

The value of the function at x = 4 is 8.79.

Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.

It allows us to approximate the value of a general function with a more simpler linear function.

Given that,

f(1) = 2

f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)

We have the formula for linear approximation as,

f(x) = f(a) + f'(a) (x - a)

Here x = 4 and a = 1

f(a) = f(1) = 2

f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254

Substituting,

f(4) = 2 + (2.254) (4 - 1)

     = 8.762 ≈ 8.79

Hence the value of f(4) is 8.79.

Learn more about Linear Approximation here :

https://brainly.com/question/1621850

#SPJ1

Answer:

10.1

Step-by-step explanation:

It's the circle of yeah yeah and it moves us all.

\(\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty\)

Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer:

the variable

Step-by-step explanation:

A variable is a quantity that may change within the context of a mathematical problem or experiment. for example

                                coefficient->2p<-variable

The nets on the right are labelled and attached accordingly. Note that in the cuboid, 6 surfaces, which for the Triangular prism, we have 5.

A cuboid is a three-dimensional geometric shape with six rectangular faces.

It has opposite faces that are parallel and equal in size.

A triangular prism is also a three-dimensional shape with two triangular bases and three rectangular faces. It has straight edges and vertices connecting the faces.

See the attached for the labelled sides.

Learn more about Triangular Prism:
https://brainly.com/question/16128664
#SPJ1

Answer:

its A

Step-by-step explanation:

A

Answer:50

Step-by-step explanation:i said so

Using compatible numbers to find the product of 2.35 * 21.02 gives; 52.50

Compatible number principle can be very useful in multiplication, addition, subtraction or even division operation. This involves getting the estimate or approximate result of an arithmetic operation via numbers close to the actual given value, and as such making the problem easier to solve.

Using the compatible numbers to solve the expression, we have:

2.35 × 21.02

Rounding up each value to a close value which is easier to work with, we have;

2.35 can be approximated to 2.50

21.02 can be approximated to 21

Thus, we now have; 2.50 × 21 = 52.50

Therefore, the estimated result of 2.35 × 21.02 using the principle of compatible number is 52.50

Read more about compatible numbers at; https://brainly.com/question/627054

#SPJ1