What is the slope of a line that is perpendicular to
Y=1/2x-5

Answer:54

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

We are looking for the coefficient of the term x⁵. When we see it in the polynomial as 4x⁵, our coefficient and answer would then be 4.

This is an identification problem. You look for the term and you determine the coefficient. It's just look, find, and answer.

Answer:

There are infinite rational numbers between any two numbers

PLS MARK ME AS THE BRAINLIEST

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Answer:

(3, 1)

Step-by-step explanation:

Plug-in points and see which one works. (x, y). <=  means less than or equal to.

Answer:

D. (3,1) is the correct answer

Step-by-step explanation: Just graph this question on a graph, and you will find that (3,1) is in the shaded region, which means it is part of the solution

Answer:

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

 25 meters

--------------------- = (125/1) meters/min = 125 m/min

(1/5) minute

This is equivalent to about 380 ft/min

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

The table is not a straight line.

Step-by-step explanation:

it is curved

hi hi hihiihihihihihihihihiih

Answer:

c 57

Step-by-step explanation:

The solution of the given quadratic equation is -2 ± √6.

Quadratic expressions are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Solution of a quadratic equation ax² + b x + c = 0 can be found by,

x = [-b ± \(\sqrt{b^2-4ac}\)] / 2a, where \(b^2-4ac\) is called discriminant.

Given quadratic equation is x² + 4x - 2 = 0.

Discriminant = 4² - (4 × 1 × -2) = 16 + 8 = 24

x = [-4 ± √24] / 2

  = [-4 ± 2√6] / 2

  = -2 ± √6

Hence the solution of the given quadratic equation is -2 ± √6.

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Answer:

x= 4, y= -1

Step-by-step explanation:

-2(x +3y= 1)

-2x-6y=-2

2x -5y= 13

-11y= 11

y= -1

2x -5(-1)= 13

2x +5= 13

2x= 8

x= 4

Answer:Simplifying

(4a + 6b)(a + -1b) = 0

Multiply (4a + 6b) * (a + -1b)

(4a * (a + -1b) + 6b * (a + -1b)) = 0

((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0

Reorder the terms:

((-4ab + 4a2) + 6b * (a + -1b)) = 0

((-4ab + 4a2) + 6b * (a + -1b)) = 0

(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0

(-4ab + 4a2 + (6ab + -6b2)) = 0

Reorder the terms:

(-4ab + 6ab + 4a2 + -6b2) = 0

Combine like terms: -4ab + 6ab = 2ab

(2ab + 4a2 + -6b2) = 0

Solving

2ab + 4a2 + -6b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.

2(ab + 2a2 + -3b2) = 0

Factor a trinomial.

2((a + -1b)(2a + 3b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying

a + -1b = 0

Solving

a + -1b = 0

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

a + -1b + b = 0 + b

Combine like terms: -1b + b = 0

a + 0 = 0 + b

a = 0 + b

Remove the zero:

a = b

Simplifying

a = b

Subproblem 2

Set the factor '(2a + 3b)' equal to zero and attempt to solve:

Simplifying

2a + 3b = 0

Solving

2a + 3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0

2a + 0 = 0 + -3b

2a = 0 + -3b

Remove the zero:

2a = -3b

Divide each side by '2'.

a = -1.5b

Simplifying

a = -1.5b

Solution

a = {b, -1.5b}

Step-by-step explanation:

Answer:

( ~ Sure, But i'm slow <3 ~ )

Is it....

x  =  6

Step-by-step explanation:

(( Sorry if i got it wrong- im Dumb. <3 ))

(( But here's a nice picture for u. ^^ ))

Answer: x = 6

Step-by-step explanation: 2x-5=7

                                                 +5 +5

                                              2x = 12                                                                   divide by 2 on both sides        

                                                 x = 6

Answer:

y = 5x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 5x - 7 ← equation of line

Answer:

75.2

Step-by-step explanation:

Answer:

75.2 is the answer

Step-by-step explanation:

the answer is 75.2

In the given quadratic function, the domain is [4, 6] and the range is y ≥ 2.

Quadratic function:

Quadratic function refers a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given,

The graph of a quadratic function with vertex (4, -2) is shown in the figure below.

Here we need to find the domain and the range of the function.

We know that, the domain is all real values of x for which the given quadratic function is defined. And the range is all real values of y for the given domain (real values values of x).

Based on this definition, when we looking in to the graph, we have identified that the x axis take the values from 4 to 6.

Therefore, the domain can be written as [4, 6].

Similarly, the values taken by y axis are that are greater than or equal to 2.

So, the range is y ≥ 2.

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Answer: -3

Step-by-step explanation:

Answer:

the required number of telephone orders to complete the 400 interviews is 3433

Step-by-step explanation:

Given the data in the question;

Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.

Thus, The working phone numbers = 70% × Y

Now, number of ATM users = 45% × The working ph0ne numbers

⇒ 45% × ( 70% × Y )

number of ATM users = 0.45 × 0.70 × Y = 0.315Y

Thus; Number of people contacted that agrees to complete the survey will be;

⇒ 37% × number of ATM users

⇒ 0.37 × 0.315Y = 0.11655Y

so, since the researcher needs at least 400 interviews

Hence;

0.11655Y ≥ 400

Y ≥ 400 / 0.11655

Y ≥ 3432.0034 ≈ 3433

Therefore, the required number of telephone orders to complete the 400 interviews is 3433

The only possible rational  zero is -1, which has a corresponding factor of (x + 1).

what is rational  zero?

A rational zero is a root or solution of a polynomial function with integer coefficients that can be expressed as a ratio of two integers. In other words, a rational zero is a value of the independent variable (usually denoted as x) that makes the polynomial function equal to zero, and where both the numerator and denominator of that value are integers.

what is factor ?

In maths, factor is number or expression which divides another number or expression evenly without leaving a remainder. In the context of polynomial functions, a factor is a polynomial that divides another polynomial evenly, such that the remainder is zero.

In the given question,

The rational zeros theorem tells that if  polynomial function with integer coefficients has rational zero, which means that zero is of the form p/q, where p is a factor of the  constant term in equation and q is  factor of  leading coefficient.

here, the constant term is -5 and leading coefficient is -2. so, the possible rational zeros of f(x) are:

±1, ±5 (factors of -5)

±1/2, ±5/2 (factors of -2)

by  test each of these possible zeros using synthetic division or long division to see which, if any, are actual zeros of the function. after testing

we got -1 as only answer

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Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Answer:

B-2/4 and 1/2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Let us assume that the previous locations are at A(0, 5), B(9, 5), and C(4, 5). Since the new coordinates are A"(0,-5)B"(9,-5), and C"(4,-5), hence:

The relationship is given by:

(x, y) ⇒ (x, -y)

The relationship this location have to the previous locations is (x, y) ⇒ (x, -y)

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Answer:11

Step-by-step explanation:

Answer:

\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)

Step-by-step explanation:

Given trigonometric equation:

\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:

\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)

Therefore:

              \(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)

  \(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)

\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)

\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)

Simplify the numerator:

\(\dfrac{1-2\cos x}{\sin x}=0\)

Multiply both sides of the equation by sin x:

\(1-2 \cos x=0\)

Add 2 cos x to both sides of the equation:

\(1=2\cos x\)

Divide both sides of the equation by 2:

\(\cos x=\dfrac{1}{2}\)

Now solve for x.

From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:

\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)

Therefore, the values of x in the given interval [0, 2π), are:

\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

30mm 2.5cm 20cm 1m

Step-by-step explanation:

The equation is the given one:

Which is the same as:

And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).

So the statement is True.