Martha has already cycled 32 kilometers this year, plus she plans to cycle 2 kilometers during each trip to work. How many trips will Martha have to make to cycle a total of 44 kilometers? I WILL GIVE U BRAINLISET ANSWER

Answer:

1/89

Step-by-step explanation:

Two digit numbers include all numbers from 10 to 99. 99-10 = 89. Therefore the probability that Simon guesses the number correctly on the first try is 1 out of 89 which can be written as 1/89.

Answer:

Y intercept= -3/2, Slope is 1/2

Step-by-step explanation:

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ1

Answer:

7.4

Step-by-step explanation:

When the decimal in any place is more than 0.5, round up.

The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

Read more about average rate of change at

brainly.com/question/17131025

#SPJ1

Answer: The first one is the answer.

Step-by-step explanation: It is the first one because fractions and negative numbers are rational numbers, but aren't natural numbers. Natural numbers are numbers like 1,2,3,etc. Rational numbers are numbers are numbers like 1,-2,3/8,etc. Rational numbers are basically any number you could possibly think of.

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Read more about matrix at

https://brainly.com/question/11989522

#SPJ1

Answer:

2√73 or 17.09 inches

Step-by-step explanation:

The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²

a = 6

b = 16

c = ?

Plug these values into the equation.

(6)² + (16)² = c²

Evaluate the exponents.

36 + 256 = c²

292 = c²

Take the square root of both sides to find c.

√292 = √c²

17.09 ≈ c

This is your answer.

You can also simplify the radical without using decimals.

4 • 73 = 292

Therefore,

√4 • √73 = √292

Which also means,

2•√73 = √292

So your answer is: 2√73

Hope this helps!

Answer:

We use the pythagorean theorem a²+b²=c² and in this question

a = 6

and

b = 16

so

36 + 256 = c²

so

c² = 292 so now we take the square root of it to get \(\sqrt{292}\)

Hope this helps!

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

By performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

Subtraction in mathematics is the process of subtracting one integer from another. In other words, the result of subtracting two from five is three. After addition, subtraction is usually the second operation you learn in math class.

So, to find the weight of apples, perform subtraction as follows:

= 6.7 - 2.5

= 4.2 kilograms

Therefore, by performing subtraction we know that the farmer sold 4.2 kilograms of apples in the market.

Know more about subtraction here:

https://brainly.com/question/13378503

#SPJ1

By interpreting the vertex form of the equation of parabola, the focus of the curve is equal to F(x, y) = (2, 0). (Correct choice: D)

In this problem we find the equation of a parabola in standard form, which has to be rearranged into its vertex form in order to determine the coordinates of its focus.

The focus of a parabola is a point outside the curve such that the least distance from any point of the parabola and the least distance between that the point on the parabola and directrix are the same.

First, rearrange the polynomial into its vertex form by algebraic handling:

y = (1 / 8) · (x² - 4 · x - 12)

y + (1 / 8) · 16 = (1 / 8) · (x² - 4 · x - 12) + (1 / 8) · 16

y + 2 = (1 / 8) · (x² - 4 · x + 4)

y + 2 = (1 / 8) · (x - 2)²

y + 2 = [1 / (4 · 2)] · (x - 2)²

Second, determine the vertex and the distance between the vertex and the focus:

The parabola has a vertex of (h, k) = (2, - 2) and vertex-to-focus distance of 2.

Third, determine the coordinates of the focus:

F(x, y) = (h, k) + (0, p)

F(x, y) = (2, - 2) + (0, 2)

F(x, y) = (2, 0)

The focus of the parabola is equal to F(x, y) = (2, 0).

To learn more on foci of parabolae: https://brainly.com/question/21685473

#SPJ1

9514 1404 393

Answer:

  (8, 22)

Step-by-step explanation:

For endpoints A and B, and midpoint M, the relationship of interest is ...

  B = 2M -A

  B = 2(3, 10) -(-2, -2) = (6+2, 20+2)

  B = (8, 22)

The other end point is (8, 22).

Answer:

the answer to your question is 0.4375

Answer:

25

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

Learn more about the adjusted balance method at https://brainly.com/question/14351468.

#SPJ1

Answer:

62>(9*116)

Step-by-step explanation:

Answer:

No. This is not true.

2x2x2x2x2 = 32

5x5 = 25

Therefore,

2^5 does NOT equal 5^2.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads....}\)

\(\mathbf{Does\ 2^5 = 5^2?\ Use \ the\ drop-down\ menus\ to \ explain}\)

\(\huge\textbf{Breaking down the first equation:}\)

\(\mathbf{2^5}\\\\\mathbf{= 2\times 2 \times 2 \times 2 \times 2}\\\\\mathbf{= 4 \times 4 \times 2}\\\\\mathbf{= 16 \times 2}\\\\\mathbf{= 32}\)

\(\huge\textbf{So, the first choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{2\times2\times2\times2\times2}}\huge\checkmark\)

\(\huge\textbf{Answering number 2:}\)

\(\mathbf{Since, your\ 2\ expressed\ 5\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 2}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\textbf{Breaking down the second equation: }\)

\(\mathbf{5^2}\\\\\mathbf{= 5\times5}\\\\\mathbf{= 25}\)

\(\huge\textbf{So, the third choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{5\times5}}\huge\checkmark\)

\(\huge\textbf{Answering number 4:}\)

\(\mathbf{Since, your\ 5\ expressed\ 2\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 5}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\mathbf{2^5 \neq 5^2}\\\\\\\mathbf{32 \neq 25}\)

\(\large\text{Since }\rm{2^5}\large\text{ and }\rm{5^2}\large\text{ have }\large\boxed{\textbf{ no common factors }},\large\text{ they \boxed{\textbf{ are not }}}\large\text{ equal.}\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

1950 2,771,305  

1960 4,951,560

1970 6,789,443  

1980 9,746,324  

1990 12,937,926  

2000 15,982,378  

2010 18,801,310  

Sorry I couldn't find models.

Expanding out the equation, we get

\(x^2 - ax - bx+ab+x^2 -bx-cx+bc+x^2 -ax-cx+ac=0 \\ \\ 3x^2 -x(2a+2b+2c)+(ab+bc+ac)=0\)

Considering the discriminant,

\((2a+2b+2c)^2 - 4(3)(ab+bc+ac) \\ \\ =4a^2 + 4b^2 + 4c^2 + 8(ab+bc+ac)-12(ab+bc+ac) \\ \\ =4(a^2 + b^2 + c^2 - ab - bc - ac) \\ \\ =2((a-b)^2 + (b-c)^2 + (c-a)^2)\)

This is always non-negative, meaning the roots are real.

The roots are equal if and only if the discriminant is 0, which is when a=b=c.

Answer:

Not a Function

Step-by-step explanation:

there are 2 same inputs for different outputs

Answer:

\(y=-2x-1\) .

Step-by-step explanation:

The given equation of line is

\(y=-2x-1\)

The above line dilated with a scale factor of 2 and centered at (1,-3).

Substitute \(x=1\) in the given equation.

\(y=-2(1)-1\)

\(y=-2-1\)

\(y=-3\)

The line passing through (1,-3). It means, the given line passing through the center of dilation.

We know that if a line passes through the center of the dilation, then nothing will change and equation of image is same as the equation of line.

So, the equation of image of line is \(y=-2x-1\).

The y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

The standard form of an equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

Given the equation of a line expressed as y = -2x - 1

If the line is transformed by dilation with a scale factor of 2 and centred at (1, -3)

First, we will need to find the y-value for which x = 1

y = -2(1) - 1

y = -2 - 1

y = -3

Since the y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

Learn more here: https://brainly.com/question/23343212

The measure of the angle B of the triangle is 78.15 degrees

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

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

Read more about triangle at

brainly.com/question/4372174

#SPJ1

Answer:

commutative property of multiplication

Step-by-step explanation:

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

Learn more on the Thales theorem here: https://brainly.com/question/14417137

#SPJ1

The correct answer is:

The equation is \(7(c-0.75) = 2.80\), and the regular price of a cookie is \(c =\$1.15\).

Explanation:

c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression \(c-0.75\).

We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, \(c-0.75\), by 7 and set it equal to $2.80:

\(7(c-0.75) = 2.80\)

To solve, first use the distributive property:

\(7 \times c-7\times0.75 = 2.80\)

\(7c-5.25 = 2.80\)

Add 5.25 to each side:

\(7c-5.25+5.25 = 2.80+5.25\)

\(7c = 8.05\)

Divide each side by 7:

\(7c\div7 = 8.05\div7\)

\(c = \$1.15\).

Answer:

hey

Step-by-step explanation: