190 g = _____________ kg​

Answer:

4x + 27

Step-by-step explanation:

12x + 36 - 14 - 8x + 5 Combine like terms (36, -14, 5)

12x + 27 - 8x Combine like terms (12x, -8x)

Answer:

To see if something is a function, just draw lines down the graph, if it touches the line twice, then that means it does not pass the vertical line test, meaning it is not a function
(By the line, I mean what you wrote on the paper,)
For example, a parabola is a function, because when you do the vertical line test, it only touches the line at one point, and not two,

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

(I included a picture that should help explain better)

The expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

To solve each of the expressions involving fractions, convert mixed fractions into improper fractions before finding the quotient of each.

1. 4 ⅔ ÷ 5 ¼

Convert to improper fractions

14/3 ÷ 21/4

14/3 × 4/21

= 56/63 (less than 1)

2. 3 ⅛ ÷ 2 ⅖

Convert to improper fractions

25/8 ÷ 12/5

25/8 × 5/12

125/96 (greater than 1)

3. 1 6/7 ÷ 2 1/3

13/7 ÷ 7/3

13/7 × 3/7

= 39/49 (less than 1)

4. 5 3/4 ÷ 7 ⅜

23/4 ÷ 59/8

23/4 × 8/59

= 184/236 (less than 1)

Therefore, the expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ1

The inequality will be:

x ≥ $9

Which says that x can be equal to or larger than $9.

An inequality is a mathematical statement that relates two or more mathematical elements (variables, expressions, etc.) in such a way that there is not a equality like in an equation (an equality can be a solution, but not necessarily)

For example, if x represnts what you bring for dinner, we know that x needs to be at least $9.

So x = $9 is a solution.

But if x is a larger value than $9, it also is a solution.

This situation is represented by the inequality:

x ≥ $9

Which says that x can be equal to or larger than $9.

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Time taken in hours from home to college is; 5 hours 20 minutes

We are given;

Going home DATA:

Speed rate = 61.5 mph

Distance = x miles

Time taken = distance/speed = x/61.5 hrs

Going to college DATA:

Speed rate = 65.2 mph

Distance = x miles

Time taken = x/65.2 hrs

Thus, the equation set up is:

x/61.5 + x/65.2 = 11

Multiply through by (61.5 * 65.2) to get;

65.2x + 61.5x = 11 * (61.5 * 65.2)

126.7x = 44107.8

x = 44107.8/126.7

x = 348.1279 miles

Thus;

Time in hours from home to college = 348.1279/65.2

Time in hours from home to college = 5.34 hours = 5 hours 20 minutes

Read more about Time from speed at; https://brainly.com/question/4931057

#SPJ1

0.0030  is the probability that you will​ win .

In statistics, what does a probability mean?

Here order of selection is important, so we will use permutation.

Total number of ways to choose 3 horses out of 8 = 8P3 = 8! / (8 - 3)! = 336

P(win) = 1/336 = 0.0030

Learn more about probability

brainly.com/question/11234923

#SPJ9

Answer:

15

Step-by-step explanation:

[tex]3x-15=4x \\ \\ x-15=0 \\ \\ x=15[/tex]

The cost of the car is $27,546

The sales tax is 7%

Jorge bought a ford mustang having a sales tax of $1,928.22

Therefore the cost of the car can be calculated as follows

1928.22÷ 7/100

= 1928.22/0.07

= 27,546

Hence the cost of the car is $27,546

Read more on cost here

https://brainly.com/question/13950258?referrer=searchResults

#SPJ1

Answer:

450×6.75 = 2 956.5

So the serviceman will get 2 956.5 after 6.75 hours of doing the job

Answer:

a

Step-by-step explanation:

because the chart matches the scenario

Answer:

230

Step-by-step explanation:

Answer:

102.0625 square units

Step-by-step explanation:

First determine the length of each side using the distance formula  for two points. Then use Heron's formula to determine the area of a triangle given three sides

Distance Formula

The distance between two points is the length of the path connecting them

The distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem:

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

Let's compute the lengths of the sides FH, FG and HG

The three vertices are F(-2, 5)   G(7, -10) and H(-9, -6)  as indicated on the graph

So length FG between (-2,5) and (7,-10)

[tex]FG= \sqrt {(7 - (-2))^2 + (-10 - 5)^2}[/tex]

[tex]= \sqrt {(9)^2 + (-15)^2}[/tex]

[tex]= \sqrt {{81} + {225}}[/tex]

[tex]= \sqrt {306}[/tex]

FG [tex]= 17.492856[/tex]  (round to 17.5)

Length FH between(-2,5) and (-9, -6) is

[tex]FH = \sqrt {(-9 - (-2))^2 + (-6 - 5)^2}[/tex]

[tex]= \sqrt {(-7)^2 + (-11)^2}[/tex]

[tex]= \sqrt {{49} + {121}}[/tex]

[tex]= \sqrt {170}[/tex]

FH [tex]= 13.038405[/tex]  (can be rounded to 13.04

Length GH between (7, -10) and (-9, -6) is

[tex]GH = \sqrt {(-9 - 7)^2 + (-6 - (-10))^2}[/tex]

[tex]= \sqrt {(-16)^2 + (4)^2}[/tex]

[tex]= \sqrt {{256} + {16}}[/tex]

[tex]= \sqrt {272}[/tex]

GH [tex]= 16.492423[/tex]   (can be rounded to 16.5)

Determining the area of a triangle given 3 sides

Heron's formula allows us to find the area of a triangle given 3 sides If the sides are a, b and c the general form of Heron's formula is

[tex]Area = \sqrt {s(s-a)(s-b)(s-c)}[/tex]

where s is the semi-perimeter = [tex]\frac{a+b+c}{2}[/tex]

Substituting values we get

s = [tex]\frac{17.5+13.04+16.5}{2} = 23.52[/tex]

[tex]Area = \sqrt {23.52(23.52-17.5)(23.52-13.04)(23.52-16.5)}[/tex]

[tex]= \sqrt{23.52\cdot6.02\cdot10.48\cdot7.02}[/tex]

[tex]102.0625[/tex]  square units

The meaning of the terms and factors in the expression are

The expression is given as

180 + 15x

The above expression can be split as follows:

The meaning of the above terms and factors are

Read more about linear functions at

https://brainly.com/question/4025726

#SPJ1

The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

x - 2y = -2

To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.

If x = 0, we have:

0 - 2y = -2

y = -2/-2 = 1

if x = 1 then:

1 - 2y = -2

1 + 2 = 2y

3 = 2y

3/2 = y

Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The interval on a number line (-∞, -6)​ using set-builder notation is;

{ x | x ∈ R, x ≤ -6 }

Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.

Real numbers (R) include all rational and irrational numbers. Thus, If we need to write the interval on a number line (-∞, -6)​ using set-builder notation, we will write as:

{ x | x ∈ R, x ≤ -6 }

In words : "x such that x belongs to R, x is less than or equal to -6"

This shows that x is any real number less than or equal to -6

Read more about set builder notation at; https://brainly.com/question/24438069

#SPJ1

The data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

Given the data set, {1, 1, 3, 5, 8}, the standard deviation (σ) is calculated as shown below:

Standard deviation (σ) = √(SS/n)

Count (n) = 5

Mean (μ) = 3.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Also, the standard deviation of {2, 2, 4, 6, 9} is calculated as shown below:

Count (n) = 5

Mean (μ) = 4.6

Sum of Squares (SS) = 35.2

Standard deviation (σ) = (√35.2/5)

Standard deviation (σ)  = √7.04

Standard deviation (σ) ≈ 2.7

Therefore, the data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.

Learn more about standard deviation on:

https://brainly.com/question/12402189

#SPJ1

Answer:

use air math

Step-by-step explanation:

hope that helps

The the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4].

The mid-point of a line segment is a point on the line segment which divides it into two equal parts.

Given is a line segment AB whose mid-point is M with a and b being the coordinates of A and B respectively. Further, Q is the midpoint of AM and T is the midpoint of QM.

[Refer to the image attached for clear explanation]

Since M is the mid-point of AB, therefore the coordinates of point M will be = M [(a + b)/2]

Now, Q is the mid-point of AM. Therefore, the coordinates of Q will be =

[(a + b)/2 + a]/2 = Q [(3a + b)/4]

and

T is the mid-point of QM. Therefore, its coordinates will be =

(a + b)/2 + (3a + b)/4 = T [(5a + 3b)/4]

Hence, the the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4]

To solve more questions on Mid-points, visit the link below-

https://brainly.com/question/11187708

#SPJ1

Answer:

5 studs (3^3)

(3^3) = 5

Step-by-step explanation:

Using basic derivative rules the value of y' (2) is 19.6 .

We have given a function of t y(t) = 450-4.9t².

On differentiating with respect t , we get

         y'(t) = 2 × 4.9t

          y'(t)  = 9.8 t              ......(1)

Putting t = 2 in equation (1) , we get

      y'(2)  = 9.8 × 2

               = 19.6

Hence , value of y'(2) is 19.6

To learn more about derivatives, refer to https://brainly.com/question/25573309

#SPJ4

The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles (m) is 3.3 miles to ride each day to meet her goal.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Total distance of ride Alisha wants by her bicycle (d) = 18.2 miles.

And, She has already ridden 5 miles.

She rides for 4 more days.

Now, Let the average number of miles = m

She has already ridden 5 miles.

And, She rides for 4 more days.

The number of miles she needs to ride more is

18.2 miles  - 5 miles

= 13.2 miles

If m is the average number of miles she must cycle in 4 days to reach her objective,

Hence, we can formulate;

4m = 13.2

Divide both side by 4,

m = 3.3 miles

So, The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles is 3.3 to ride each day to meet her goal.

Learn more about the linear expression visit:

https://brainly.com/question/28516661

#SPJ1

Step-by-step explanation:

You want to know how the squeeze theorem applies to help you find the limit of f(x) is zero as x approaches zero.

The short of it is that you have ...

  f(x) = [messy finite function] × [function that cleanly approaches 0 at x=0]

The zero product rule tells you that the product of any finite value and 0 is zero, so the limit of this product is 0 at x=0.

The graph in the attachment shows the "function that cleanly approaches 0" in red. When multiplied by the "messy finite function", the result is the blue curve. You can see that the result is a function that has a limit of 0 at x=0.

Here, we'll decompose f(x) into two parts:

Messy finite function

The numerator sine function factor of f(x) gets increasingly messy as x approaches zero, due to the cosine term it contains. We can define ...

  [tex]g(x)=\sin(1+\cos(\pi x^{-3}))[/tex]

Because this is a sine function, its value is always in the range |g(x)| ≤ 1.

Function cleanly approaching zero

The remaining factors of f(x) need to be rearranged a bit to make a function that obviously approaches zero at x=0. We do that by factoring ∛x from the denominator and rearranging the leading fraction.

  [tex]h(x)=\dfrac{e\dfrac{-1}{13+x^{-2}}\sqrt{3x^4+5x^6}}{(x+x^{1/3})(3+\arctan\sqrt{7+x^{-8}})}\\\\=-e\dfrac{x^2}{13x^2+1}\cdot\dfrac{x^2\sqrt{3+5x^2}}{x^{1/3}(x^{2/3}+1)(3+\arctan{\sqrt{7+x^{-8}}})}\\\\h(x)=-e\dfrac{x^{11/3}\sqrt{3+5x^2}}{(13x^2+1)(x^{2/3}+1)(3+\arctan{\sqrt{7+x^{-8}}})}[/tex]

Recognizing that the arctangent term will approach π/2 as x→0, this can be (more or less) directly evaluated at x=0 to give ...

  [tex]h(0)=-e\dfrac{0\cdot\sqrt{3}}{1\cdot1\cdot(3+\dfrac{\pi}{2})}=0[/tex]

The sign of h(x) will be opposite the sign of x. The graph of h(x) is shown in red in the attachment.

As h(x) approaches zero, the product ...

  f(x) = g(x)·h(x)

approaches zero. This is the essence of the squeeze.

Starting from our description of g(x) above, we can multiply both sides of the inequality by the positive value |h(x)| to get ...

  |g(x)| ≤ 1 . . . . . . . . . . the range of the sine function

  |h(x)|·|g(x)| ≤ |h(x)|·1 . . . . . . multiply by |h(x)|

Simplifying, this is ...

  |f(x)| ≤ |h(x)| . . . . true for all x

So, the limit is ...

  [tex]\displaystyle \lim_{x\to0}|f(x)|\le\lim_{x\to 0}|h(x)|\\\\\lim_{x\to0}|f(x)|=0[/tex]

The attachment illustrates this nicely, showing that the oscillating f(x) has its amplitude limited by h(x), which approaches zero.

__

Additional comments

The limit of x^-8 is positive infinity as x approaches zero. This means the arctangent function argument is positive infinity as x approaches zero, so the function value is π/2. The sign of x is irrelevant.

We cannot tell if the fraction following "e" in this function is supposed to be an exponent. The two typeset versions of f(x) seem to show "e" as a multiplier, not the base of an exponential term. Even if an exponential term is what is intended, that term would approach 1 at x=0, so the conclusion here remains unchanged.

Answer:

  93 square units  (the figure is not a rhombus)

Step-by-step explanation:

You want the area of the figure whose vertex coordinates are A(0,-5), B(9,2), C(12,13), and D(2,7).

The formula for the area of a polygon based on its coordinates might be written ...

  [tex]\displaystyle A=\frac{1}{2}\left|\sum_{k=1}^n{x_k(y_{k+1}-y_{k-1})}\right|[/tex]

where coordinate indices wrap around from the end to the beginning.

Using this formula, we find the area to be ...

  A = 1/2|0(2-7) +9(13-(-5)) +12(7-2) +2(-5-13)|

  A = (1/2)|0 +162 +60 -36| = 1/2(186) = 93

The area of the figure is 93 square units.

The area of a rhombus could be calculated as half the product of the lengths of the diagonals. This is only true because the diagonals of a rhombus cross at right angles.

Here, the differences between diagonally opposite coordinates are ...

  AC = (12, 18) . . . . slope = 18/12 = 3/2

  BD = (-7, 5) . . . . slope = 5/-7 = -5/7

If the diagonals are perpendicular, their slopes have a product of -1. Here, the product is ...

  (3/2)(-5/7) = (-15/14) ≠ -1

The given figure is not a rhombus.

If we assume the diagonals are perpendicular, then the area would be ...

  A = 1/2√(12²+18²)√((-5)²+7²) = 1/2√34632 ≈ 93.048

Rounded to the nearest tenth, this area would be 93.0 square units.

The diagonals actually cross at an angle of about 88.152°, so the area is actually ...

  93.048·sin(88.152°) = 93 square units (exactly)

(Development of this formula is beyond the scope of this answer.)

The equation to the tangent line to [tex]y = e^{(x^2)}[/tex] at point (1,0) is given by:

y = 2e(x - 1).

Supposing that we have a function f(x) at a point [tex](x_0, y_0)[/tex], the equation of the tangent line to this function is given by:

[tex]y - y_0 = f^{\prime}(x_0, y_0)(x - x_0)[/tex]

In which f' is the derivative.

In this problem, the function is:

[tex]f(x) = e^{(x^2)}[/tex]

Applying the chain rule, the derivative is:

[tex]f^{\prime}(x) = 2xe^{(x^2)}[/tex]

At x = 1, the derivative is:

[tex]f^{\prime}(1) = 2(1)e^{((1)^2)} = 2e[/tex]

Hence the tangent line at point (1,0) is given by:

y = 2e(x - 1).

More can be learned about the equation of a tangent line at https://brainly.com/question/8174665

#SPJ1

The line segment that is skew line to line segment BF is CD.

Skew line:

Skewed lines are two lines that are not parallel to one another, and neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist on several planes. Two lines in two-dimensional space can either intersect or run parallel to one another. Therefore, skew lines are impossible in 2D space.

The line segment AB is perpendicular to the line segment BF which means it is not the skew line to line segment BF

The line segment CD is not parallel and not perpendicular to the given line segment BF which means it is a skew line to the given line segment BF.

Therefore, The line segment that is skew line to line segment BF is CD.

Learn more about skew line here:

https://brainly.com/question/2603508

#SPJ9

Answer:

literature most commonly refers to works of the creative imagination, including poetry, drama, fiction, nonfiction, and in some instances, journalism, and song.

Answer:

x-2-10123

y0.1 0.3 0.9 2.7 8.1 24.3