Emily can ride her scooter 18 miles in 50 minutes. What
is her unit rate in miles per hour? Show your work.

WILL GIVE BRAINLIEST!!!!

Answer:

-9

Step-by-step explanation:

If you meant (36 5 + 48 3 ) / (−12 3 ) then the answer should be -9

Answer:

Length= 15

Height= 7

Perimeter = 15 + 7 + 15 + 7 (44)

Area= 15 x 7 (105)

Unit= M

Step-by-step explanation:

The value of x is 21.4.

What is right-angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x. The measure of the angle opposite to height is 31°.

The sine of an angle is the ratio of height to the hypotenuse.

Therefore,

sin 31° = height/hypotenuse

sin 31° = 11/x

Multiply x with both sides:

x sin 31° = 11

Divide sin 31° with both sides:

x = 11/ sin 31°

x = 21.35

x ≈ 21.4 units

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Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

After driving x miles, the first plan costs

60 + 0.70x

dollars, while the second plan costs

0.80x

dollars.

The plans cost the same when these prices are equal:

60 + 0.70x = 0.80x

Solve for x :

60 = 0.80x - 0.70x

60 = 0.10x

x = 60/0.10

x = 600

Answer:

  b.  3 = 3/1

  c.  -4 = -4/1

Step-by-step explanation:

An integer can be written as a rational number with a denominator of 1. The denominator can be anything else, too, in which case the numerator must be multiplied by that same value.

__

b. 3 = 3/1 = 6/2 = 27/9

__

c. -4 = -4/1 = 8/-2 = -12/3

Answer:

1) 24

2) 20.8

3) 14.7

Step-by-step explanation:

1) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = ?, b = 10, c = 26

a^2 + 10^2 = 26^2 ... (substitute the given values)

a^2 + 100 = 676 ... (find the square of 10 and 26)

a^2 = 576  ... (subtract 100 from both sides)

a = 24  ... (square root both sides)

2) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = 12, b = b, c = 24

12^2 + b^2 = 24^2 ... (substitute the given values)

144 + b^2 = 576 ... (find the square of 12 and 24)

a^2 = 432 ... (subtract 144 from both sides)

a ≈ 20.8 ... (square root both sides)

3) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = x, b = 15, c = 21

x^2 + 15^2 = 21^2 ... (substitute the given values)

x^2 + 225 = 441 ... (find the square of 15 and 21)

x^2 = 216 ... (subtract 225 from both sides)

x ≈ 14.7 ... (square root both sides)

Answer:

Step-by-step explanation:Let the unknown side of the triangle be represented by x

Therefore,

using pythagoras  theorem,

26 square=10 square+x square

676=100+x square

676-100=x square

x square=576

x=24

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

x = 3 and x = -7

Step-by-step explanation:

Solving :

⇒ x² + 4x - 21 = 0

⇒ x² + 7x - 3x - 21 = 0

⇒ x(x + 7) - 3(x + 7) = 0

⇒ (x - 3)(x + 7) = 0

⇒ x = 3 and x = -7

Answer:

\(x=3,\:x=-7\)

Key:

• When doing a quadratic equation, one thing you must always know going into the equation is that you will have more than one answer.

Step-by-step explanation:

\(x^2+4x-21=0\\For\:\rightarrow\quad a=1,\:b=4,\:c=-21\\x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}}{2\cdot \:1}\\\sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}\\=\sqrt{4^2+4\cdot \:1\cdot \:21}\\=\sqrt{4^2+84}\\=\sqrt{16+84}\\=\sqrt{100}\\=\sqrt{10^2}\\=10\\x_{1,\:2}=\frac{-4\pm \:10}{2\cdot \:1}\\x_1=\frac{-4+10}{2\cdot \:1},\:x_2=\frac{-4-10}{2\cdot \:1}\)

-----------------------------------------------------------------------------------------------------------

Optional: Solve for x₁ and x₂

(x₁)

\(\frac{-4+10}{2\cdot \:1}\\=\frac{6}{2\cdot \:1}\\=\frac{6}{2}\\=3\)

(x₂)

\(\frac{-4-10}{2\cdot \:1}\\=\frac{-14}{2\cdot \:1}\\=\frac{-14}{2}\\=-\frac{14}{2}\\=-7\)

The correct answer choice is: A. The system has exactly one solution. The solution is (13, 5).

The correct answer choice is: A. all three countries had the same population of 5 thousand in the year 2013.

Based on the information provided above, the population (y) in the year (x) of the counties listed are approximated by the following system of equations:

-x + 20y = 87

-x + 10y = 37

y = 5

where:

By solving the system of equations simultaneously, we have the following solution:

-x + 20(5) = 87

x = 100 - 87

x = 13

-x + 10(5) = 37

x = 50 - 37

x = 13

Therefore, the system of equations has only one solution (13, 5).

For the year when the population are all the same for three countries, we have:

x = 2010 + (13 - 10)

x = 2013

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The perimeter of the given triangle ABC with coordinates A(1,2) ; B(7,9) and C(7,2) using distance-formula , is 22.2 units.

What is distance-formula?

To get the separation between two points on a coordinate plane, use the distance formula. The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will evaluate the distance if the two points are on the same horizontal or vertical line. the area of polygons, the perimeter of polygons on a coordinate plane, the total of the lengths of all the sides of a polygon, and other distance measurements.

Consider two points (x , y) and (X, Y) and the distance d between them, then according to distance formula:

d=\(\sqrt{(X-x)^{2} + (Y-x)^{2} }\)

Distance between points A(1,2) and B(7,9), AB

=\(\sqrt{(7-1)^{2} +(9-2)^{2} }\)

=\(\sqrt{6^{2} +7^{2} }\)

=\(\sqrt{36+49}\)

=\(\sqrt{85}\)

=9.219≈ 9.2 units

Distance between points B(7,9) and C(7,2), BC

=\(\sqrt{(7-7)^{2} +(9-2)^{2} }\)

=\(\sqrt{0^{2} +7^{2} }\)

=\(\sqrt{0+49}\)

=7 units

Distance between points A(1,2) and C(7,2), CA

=\(\sqrt{(7-1)^{2} +(2-2)^{2} }\)

=\(\sqrt{6^{2} +0^{2} }\)

=\(\sqrt{36+0}\)

=6 units

Perimeter of triangle= sum of all sides

                                 =AB+BC+CA

                                 =9.2+7+6

                                 =22.2 units

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Refer to the attachment for complete question.

Answer:

40 students are in the class :)

Step-by-step explanation:

35%=14

1%=14/35=0.4

0.4*100=40=100%

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

Therefore , the solution of the given problem of linear equation comes out to be y= (3/2)x + 5 .

The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.

Here,

We must first determine the slope of the line before using the point-slope form of the equation of a line to determine the equation of the line that goes through two points.

The angle of the line that connects the coordinates (2, 8) and (8, 7) is:

=> slope = (−7 − 8) / (−8 − 2)

=> slope = −15 / −10

=> slope = 3/2

When we express the equation of a line in the point-slope format, where (x1, y1) is one of the line's points and m is its slope, we get the following result:

=> y − y1 = m(x − x1)

By selecting the line's origin (2, 8) and substituting the slope m = 3/2, we obtain:

=> y − 8 = (3/2)(x − 2)

The equation y = mx + b is transformed into the slope-intercept form by condensing and reordering the variables.

=> y = (3/2)x + 5

Consequently, y = (3/2)x + 5 represents the equation of the line going through the points (2, 8) and (8, 7) respectively.

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Answer:

13)

Given:

x = 3

y = 1.5

We exchange these values into our equation (2x + 4y + 3x);

2x + 4y + 3x

Altered, would be:-

2(3) + 4(1.5) + 3(3)

6 + 6 + 9

= 21

15) First, we need to find the volume of the cube;

1/2(one side), but since all sides to a cube are equal we multiply that length by itself 3 times.

So;

1/2 x 1/2 x 1/2 = 1/8 is the volume of one cube.

Now we find the rectangular prism's volume, using the formula;

V(volume) = W x H x L

Where 'W' represents the width, 'H' represents the height, and 'L' represents the length.

Substitute these values in our formula:

V = W x H x L

V = 2 1/2 x 8 x 1/2

V = 5/2 x 8 x 1/2

V = 5/2 x 8/2

V = 5/2 x 4

V = 10

So now, we divide the total volume by the volume of one cube to get the total of how many cubes would be needed to fill this prism.

10 ÷ 1/8

10 x 8/1

10 x 8

= 80

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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Answer:

n = 14

Step-by-step explanation:

2 + n = 16

-2         -2

2 - 2 = 0

16 - 2 = 14

n = 14

Answer:  \(12x^2+12xh+4h^2-2\)

==================================================

Explanation:

First let's find the expression f(x+h). We replace every copy of x with x+h, expand, and simplify like so.

\(f(x) = 4x^3 - 2x\\\\f(x+h) = 4(x+h)^3 - 2(x+h)\\\\f(x+h) = 4(x+h)(x+h)^2 - 2(x+h)\\\\f(x+h) = 4(x+h)(x^2+2xh+h^2) - 2(x+h)\\\\f(x+h) = 4x(x^2+2xh+h^2)+4h(x^2+2xh+h^2) - 2(x+h)\\\\f(x+h) = 4x^3+8x^2h+4xh^2+4hx^2+8xh^2+4h^3 - 2x-2h\\\\f(x+h) = 4x^3+12x^2h+12xh^2+4h^3 - 2x-2h\\\\\)

This may look ugly, but things will simplify a bit when we subtract off f(x)

Note how in f(x+h) we have the following terms

Which are the exact terms found in f(x) as well.

Why is this important? It helps us subtract and cancel. When we subtract off f(x), we cross off the 4x^3 and -2x terms in that f(x+h) equation above.

We'll be left with this

\(f(x+h)-f(x) = 12x^2h+12xh^2+4h^3-2h\\\\\)

At this point, every term shown has at least one copy of 'h' as a factor.

This allows us to factor out h

\(f(x+h)-f(x) = h(12x^2+12xh+4h^2-2)\\\\\)

Then we can divide both sides by h to get our final answer

\(\frac{f(x+h)-f(x)}{h} = \frac{h(12x^2+12xh+4h^2-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} = 12x^2+12xh+4h^2-2\\\\\)

----------------------------------------------------

Extra info:

h is nonzero to avoid dividing by zero. Though as h gets closer and closer to zero, terms with h in them will drop out since those terms will be very small. We'll be left with 12x^2-2. This is the derivative of f(x).

Answer:

x = 18

Step-by-step explanation:

so we know that 128* and (6x+20)* have the same value so

128* = (6x+20)*

lets subtract both sides by 20

108* = 6x*

divide both sides by 6:

108/6 = 18

6x/6 = x

18 = x

Have a nice day!

and please tell me if I am wrong. :-)

Answer:

\(x=7\text{ or } x=-3\)

Step-by-step explanation:

So we have the equation:

\(|x-2|+4=9\)

First, subtract 4 from both sides:

\(|x-2|=5\)

Definition of Absolute Value:

\(x-2=5\text{ or } x-2=-5\)

Add 2 to both sides for both equations:

\(x=7\text{ or } x=-3\)

And we're done!

Answer:

4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

The dimensions increased by 4 feet.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

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The equation is graphed below that is accurate y = |2x – 2| – 4.

The y-intercept of a graph is the point where the graph crosses the y-axis or it's the point where x = 0.

The given description mentions that approaches the grid line at (negative 3, 3), crosses the x-axis at (negative 1.5, 0), has a vertex at the y-axis at (0, negative 3), and crosses the x-axis at (1.5, 0).

This clearly indicates that the graph has a y-intercept at (0, -2).

For instance, the graph doesn't have an x-intercept at (0, -3), and it doesn't have two y-intercepts.

So, the equation could be

y = |2x – 2| – 4.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.