What is the least common multiple of 18 and 22

Answer:

c

...................

Answer:

3/4 tsp

Step-by-step explanation:

To find out how much thyme you would need, set up a proportion of thyme to servings and solve: 1/4 tsp/8 servings = x tsp/24 servings

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

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X goes left and right. Y goes up and down. Hope this help:)

Answer:

Step-by-step explanation:

Answer:

4 hrs

Step-by-step explanation:

22.8-17.6=5.2

so they are 5.2 miles apart.

Let they meet after t hrs.

distance coverd by Quico in t hrs=2.6t

distance covere by Chespirito in t hrs =3.9t

3.9t-2.6 t=5.2

or 1.3 t=5.2

t=5.2/1.3 =4

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

loss=54-52.5

Step-by-step explanation:

=1.5Rs

loss%=loss/CP×100

=1.5/54×100

2.78%

PLZ MARK AS BRAINLIST

Step-by-step explanation:

\(c = 2\pi \times r \\ r = \frac{d}{2} = 4\\ c = 2\pi \times 4 = 25.13\)

The trigonometric function on the graph is:

f(x)= -cos(x)

So the correct option is B.

Here we can see the graph of a trigonometric function. We can see that the x-intercept is -1.

Notice that:

sin(0)= 0

cos(0) = 1

So the function can be an inversion over the x-axis of the cosine function, we coulod write this as:

f(x) = -cos(x)

That is the graphed function.

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Answer:

C. all possible input values of the function

Step-by-step explanation:

Answer:

C is right

Step-by-step explanation:

domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also

Answer:

nice handwriting

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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The system of equations has infinite many solutions using matrices

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

x/3 - y = 2

-x/2 + 3y/2 = -3

When represented as matrices, we have

\(\left[\begin{array}{cc|c}\frac13&-1&2\\-\frac12&\frac32&-3\end{array}\right]\)

Calculate the determinant D of the matrix

So, we have

D = 1/3 * 3/2 + 1 * -1/2

Evaluate

D = 0

Because the determinant of the matrix is 0, it means that the equation has infinite many solutions

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Answer:

$85365.90

Step-by-step explanation:

Let's start by finding the effective rate of interest

.043/12=.00385333

\(225*\frac{(1+.00385333)^{20*12}-1}{.00385333}=85365.89513\)

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

Base x hieght=square, and rectanguler Formula.

Step-by-step explanation:

If you have 5 as the base number and 3 for the hieght, you will multiply 5 by 3. that is odvi 15.

Answer:

160$

Step-by-step explanation:

160*.30=48

Answer:

30

Step-by-step explanation:

5x6=30

Answer:

no

Step-by-step explanation:

the answer is −42−6x

because you Simplify  -6 times 7−6×7  to  -42−42.

You want to multiply the -6 into the bracket (distribute).

-6 x 7 = -42

X multipled by -6 is equal to -6x

Therefore, -6(7+x) once the -6 is distributed is -42-6x.

So no, it is not equal, because it should be -6x not +6x.

Answer:

Calculated χ² = 13.425

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

Step-by-step explanation:

Color             Blue      Orange     Green    Red   Yellow    Brown

Frequency     30         48              55        66         70         131

Expected      40           40              40        80          80        120

H0:  The bag of plain M&Ms is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown

Ha: The color distribution is not equal to  the distribution stated in the null hypothesis.

Calculate chi square

χ² = (30-40)² /40 + (48-40)²/40 + (55-40)²/40 + (66-80)²/80 + (70-80)²/80 + (131-120)²/120

χ² = 2.5 + 1.6 + 5.625 + 2.45 + 1.25= 13.425

The critical region for χ²  for 5 degrees of freedom with ∝= 0.05 is

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

Certainly! I'll be happy to solve and explain the given problem to you in a step-by-step manner.

In the given diagram, we have a triangle with two angles labeled as 4x° and (3x + 10)°. We need to solve for the value of x.

According to the properties of triangles, the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can set up the following equation:

4x + (3x + 10) + 90 = 180

Let's simplify the equation:

4x + 3x + 10 + 90 = 180

7x + 100 = 180

Next, we'll isolate the variable term by subtracting 100 from both sides of the equation:

7x = 180 - 100

7x = 80

To solve for x, we'll divide both sides of the equation by 7:

x = 80 / 7

Now, let's calculate the value of x:

x ≈ 11.43

Therefore, the value of x is approximately 11.43.

Please note that this solution assumes the given diagram accurately represents the angle measurements, and the calculations provided are based on that assumption.

9514 1404 393

Answer:

  5x +12 = 3

Step-by-step explanation:

Multiply both sides of the equation by the least common denominator. Here, that is 6.

  \(\dfrac{5}{6}x+2=\dfrac{3}{6}\qquad\text{given}\\\\6\left(\dfrac{5}{6}x+2\right)=6\times\dfrac{3}{6}\qquad\text{multiply by 6}\\\\5x+6\times2=3\qquad\text{eliminate parentheses}\\\\\boxed{5x+12=3}}\)

Answer:

x= 9/5 = 1.8

Step-by-step explanation:

5/6x= 3/6-2

5/6x= 3/6-12/6

5/6x= -9/6

5/6x= -3/2

x= (-3/2)÷(-5/6)

x=9/5 = 1.8

Answer:

32

Step-by-step explanation:

because it 's a antiparallelogram so 3=2, 1=32

Answer:

$their down payment is $280 the percentage of the purchase is $2.8