sofia drove for 1/3 hour to get to the store.than she drove 1/5 hour to get to the library. what fraction of an hour did sofia drive in all?explain

The cube root of 64 is 4, which is the value that, when multiplied by itself three times, equals 64.

The cube root of a number is the value that, when multiplied by itself three times, equals the original number. In the case of 64, the cube root is 4, because 4 multiplied by itself three times equals 64:

4 × 4 × 4 = 64

This can also be written using the cube root symbol (∛), as follows:

∛64 = 4

The cube root is an important mathematical operation used in a variety of fields, including engineering, physics, and finance. It is also used in everyday life, such as when calculating the dimensions of boxes or when determining the amount of material needed for a construction project.

It's important to note that the cube root is just one of several types of roots that can be taken of a number, including the square root (which is the value that, when multiplied by itself twice, equals the original number) and higher-order roots such as the fourth or fifth root.

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the speed of the private airplane is approximately 214.3 miles per hour. Rounding to one decimal place is not necessary but if you round it the answer will be 214 miles.

Let's call the speed of the private airplane "s". According to the problem, the speed of the commercial jet is 103 miles per hour faster than the speed of the private airplane. So, the speed of the commercial jet is:

s + 103

We know that the distance from Denver to Phoenix is the same for both planes. Let's call this distance "d".

Using the formula distance = rate x time, we can set up two equations:

For the private airplane:

d = s × 4

For the commercial jet:

d = (s + 103) × 2.7

Since both equations represent the same distance, we can set them equal to each other and solve for s:

s × 4 = (s + 103) × 2.7

4s = 2.7s + 278.1

1.3s = 278.1

s = 278.1 / 1.3

s = 214.3

Therefore, the speed of the private airplane is approximately 214.3 miles per hour.

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(i) 61/2000

(ii) 9/2

(iii) 261/400

Total no. of drivers = 2000

(i) exactly 3 accidents (18-29 years of age)

[ P(E)= no. of favourable outcomes/total no.of Outcomes]

P(E) = 61/2000

(ii) one or more accidents in a year (30-50 years of age )

= 125 +60 + 22 + 18

= 225

P( E) = 225/ 2000

= 9/2

(iii) having no accidents in one year

= 440 +505 +360

= 1305

P(E) = 1305/2000

=261/400

hope it helps

- Creativexcolours

Answer:

1) -3^5 + 7x^4 - 15x^2 + 8x + 13

2) 12x^5 + 8x^3 - 2x^2 + 3

3) 9x^2 - 4x + 11

4) 8x^2 + 6x + 11

5) -32a + 12b - 3c

-3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4

Combining like terms, we get:

-243 + 7x^4 - 8x^3 + 3x^2 + 5x + 13

9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2

Combining like terms, we get:

9x^5 + 2x^4 + 5x^3 - x^2 - 6

3x^2 - 6 - 4x^2 + 7x^2 - 4x+11

Combining like terms, we get:

6x^2 - 4x + 5

-2x^2 + 10x^2 - 3x - 4x + 11

Combining like terms, we get:

8x^2 - 7x + 11

-19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c

Combining like terms, we get:

-36a - 25b - 5c

The height difference in the dispenser before and after the use of the dispenser is found to be 8cm.

The shape of the dispenser is 5652 cubic centimeters and it is full of the liquid soap. The radius of the dispenser is given to be 7.5 centimeter.

Now, after using, the dispenser is left with 4239 cubic centimeters.

Now, we know the volume of the cylinder is given to be,

V = πR²H

R is radius and H is the height.

When the dispenser is full,

5652 = 3.14(7.5)²H

H = 32 cm.

Now, after the use let us say that the height is h,

4239 = 3.14(7.5)²h

h = 24cm.

Now, the height difference is H-h.

= 32-24

= 8 cm.

So, the height difference is 8 cm in the dispenser.

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Answer:

GJ=6.5, JH=9.2

Step-by-step explanation:

The value of millimeter in inches can be calculated by simply dividing the millimeter by 25.4 so 125 mm is 4.921 inches.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Converting from millimetres to inches

Between millimetres (mm) and inches (in)

Calculation of Inches (dec) in Inches (frac) in Feet plus Inches ft mm to inches

* The value is rounded to the nearest 1/64 fraction for the inches fraction.

How to change metric units to inches

Inches are equal to 0.03937007874 millimetres in length:

1mm = (1/25.4)″ = 0.03937007874″

The distance d in millimetres (mm) divided by 25.4 gives the distance d in inches (′′):

d(″) = d(mm) / 25.4

Example of 20 mm converted to inches:

d(″) = 125mm / 25.4 = 4.92126″

How many millimetres are in one inch

0.03937 inches are equal to one millimetre:

1mm is equal to 1mm / 25.4mm/in = 0.03937in.

What is the millimetre to inch conversion

25.4 millimetres make up one inch.

1 inch Equals 25.4 millimetres per inch.

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The price of each bagel sold when 312 bagels are sold and $280.80 earned  is $ 0.9.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.

The number of bagels sold = 312

The total money earned by selling 312 bagels = $ 280 . 80

The price for each bagel,

[tex]=\frac{total money earned}{number of bagels sold} \\\\=\frac{280.80}{312} \\\\=$0.9[/tex]

So, the price of each bagel sold is $ 0.9.

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Answer:

4x=>-74

Step-by-step explanation:

x+23=>18

4(x+23)=>18

4x+92=>18

collect like terms

4x=>18-92

4x=>-74

Answer is 4 (x + 23 ) ≥ 18

Step by step

4 times the sum of a number and 23

4(x + 23)

Is at least 18

≥ 18

Your inequality

4 (x + 23 ) ≥ 18

to solve, distribute

4x + 92 ≥ 18

subtract 92 from both sides

4x + 92 - 92 ≥ 18 - 92

simplify

4x ≥ -74

divide both sides by 4 to solve for x

4/4 x ≥ -74/4

x ≥ 18.5

18.5 is equal to or greater than 18 so problem solved

** We used ≥ in this inequality which means at least (equal to) this number or greater

Answer:

24 : 8

Step-by-step explanation:

24/4 is equal to 6

8/4 is equal to 2

Answer:

24:8

Step-by-step explanation:

The easiest way to do these kinds of problems is by doing some simple division.  Usually you only need to look at the first number, which in this case is 6, and see if any numbers can be divided by this number.  The first ratio is 24:8, and since the other first number can't be divisible by 6, we know the answer is 24:8

The result of the multiplication of -5.6 and -4/2 is given as follows:

11.2.

The multiplication operation for this problem is defined as follows:

-5.6 x -4/2.

A multiplication operation and a division operation have the same precedence, hence we can simplify the division as follows:

-4/2 = -2. (fraction is equivalent to a division operation).

Considering the simplified quotient, the multiplication is given as follows:

-5.6 x (-2)

As two terms with the same signal are multiplied, the product is positive, 5.6 x 2 = 11.2, hence the product is given as follows:

-5.6 x (-2) = 11.2.

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At the value of x = [tex]-\sqrt{2}[/tex] only f has a relative maximum. So option B is correct.

To find the relative maximum of a function, we need to look for the values of x where the derivative of the function is zero or does not exist. Therefore, we need to find the derivative of the function f(x) first.

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

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

To find the critical points of f(x), we need to solve the equation f'(x) = 0.

[tex]e^{(-x)} * (2 - x^2) = 0[/tex]

This equation is satisfied when [tex]2 - x^2 = 0[/tex] or [tex]e^{(-x)} = 0[/tex].

The equation [tex]2 - x^2 = 0[/tex] has two solutions: [tex]x = -\sqrt{2}[/tex] and [tex]x = \sqrt{2}[/tex].

The equation [tex]e^{(-x)} = 0[/tex] has no solutions.

Now, we need to determine whether each critical point is a relative maximum or a relative minimum. We can use the second derivative test for this.

[tex]f''(x) = e^{(-x)} * (x^2 - 4)[/tex]

At x = [tex]-\sqrt{2}[/tex], [tex]f''(- \sqrt{2}) < 0[/tex], so f has a relative maximum at [tex]x = -\sqrt{2}[/tex].

At x = [tex]\sqrt{2}[/tex], [tex]f''(\sqrt{2}) > 0[/tex], so f has a relative minimum at [tex]x = \sqrt{2}[/tex].

Therefore, the answer is B)  x=−√2 only.

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Answer:

BD = 2.4

Step-by-step explanation:

see your other posting for details explanation

Answer:

Step-by-step explanation:

If the coffee tastes like mud, it may be due to several reasons:

Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.

Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.

Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.

Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.

Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.

Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.

To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.

Answer:

The slope is 9.

Step-by-step explanation:

This equation is written in slope intercept form, [tex]y=mx+b[/tex] where m is the slope and b is the y intercept. Based on this equation, the slope is [tex]\frac{9}{1}[/tex] which is simplified to 9.

Answer:

WX = 18

Step-by-step explanation:

given Δ V'W'X'  is [tex]\frac{2}{3}[/tex] of Δ VWX , then the sides of Δ VWX are [tex]\frac{3}{2}[/tex] of Δ V'W'X'

WX = [tex]\frac{3}{2}[/tex] × W'X' = [tex]\frac{3}{2}[/tex] × 12 = 3 × 6 = 18

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) If you face south and turn anti-clockwise to east, you'd have turned a right angle ( one 90° turn).

(b) If you turn clockwise from east to east again, you'd have completed a revolution or 360° (or 4 right angles)

(c) From west clockwise to south, you'd have turned 90° to north, another 90° to east and 90° to south making 3 right angles or 270°.

Hope these help! :)

There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.

Based on an equation, the weight of each train is as follows:

An equation is an algebraic statement of the equality of two or more mathematical expressions.

An equation uses the equation symbol (=) to differentiate it from a mathematical expression that combines values, variables, constants, and numbers with mathematical operands.

The total weight of Train A and Train B = 225 tons

Let the weight of Train B = x tons

Let the weight of Train A = x + 27 tons

2x + 27 = 225

2x = 198

x = 99

Train A = 126 tons (99 + 27)

Train B = 99 tons

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An ellipse's form is determined by two locations inside the ellipse known as its foci.

The lengths of the main and minor axes of an ellipse may be used to calculate its foci.

The foci of an ellipse may be calculated using a variety of online calculators.

These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.

Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.

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Answer:

45:34

Step-by-step explanation:

1575:1190

Divide both numbers by 35:

45:34

Answer:

11.2 units

Step-by-step explanation:

To find the distance between two points, you will need to use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex] where [tex]x_{1} = -2, y_{1} = 8, x_{2} = 3, y_{2} = -2[/tex]

Plugging the numbers in, we get:

[tex]\sqrt{(3-(-2))^{2}+(-2-8)^{2}}[/tex]

Which we can simplify to:

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

Squaring both numbers, we get:

[tex]\sqrt{25+100}[/tex]

Adding the numbers together, we get:

[tex]\sqrt{125}[/tex]

Which can be simplified to:

[tex]5\sqrt{5}[/tex] or 11.18033989, and rounding to the nearest tenth we'd get 11.2.

Therefore, the distance between the points (-2, 8) and (3, -2) is 11.2 units.

Answer: First Choice. 9r² + r -4

Step-by-step explanation:

Given information

Side 1 = 5r²+3

Side 2 = 4r²-6r+1

Side 3 = 7r-8

Formula for the perimeter of the triangle

Perimeter = Side 1 + Side 2 + Side 3

Substitute values into the formula

Perimeter = (5r² + 3) + (4r² - 6r + 1) + (7r - 8)

Simplify the expression

Perimeter = 5r² + 4r² + 7r - 6r + 3 + 1 - 8

Perimeter = 9r² + r + 4 - 8

Perimeter = [tex]\Large\boxed{9r^2+r-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

86.1825503

Step-by-step explanation:

190lbs to kg is 86.1825503

With the stated cooling rate of k = 0.012, it follows that the puddle of water would ice in the arctic cold front in roughly 97.8 minutes

The oscillation of a substance's components is measured by its temperature. When something is hot, it indicates that its components move relatively quickly on average. Despite having a high temperature, a substance's heat capacity is very low because it has a small number of light elements.

We can use the Newton's law of cooling formula to solve this problem.

[tex]T = R + ( To - R ) \times e ^{(-kt )}[/tex]

Let's assume that the initial temperature of the water is 55°F and the temperature of the surroundings is 5°F (due to the arctic cold front).

We are looking for the time it takes for the water to cool down to 32°F (the freezing point of water).

Therefore, we have:

T = 32°F

T0 = 55°F

R = 5°F

k = 0.012

Substituting these values into the formula, we get:

[tex]32 = 5 + (55 - 5) \times e^{(-0.012t)}[/tex]

Simplifying the equation, we get:

[tex]27 = 50 \times e^{(-0.012t)}[/tex]

Dividing both sides by 50, we get:

[tex]0.54 = e^{(-0.012t)}[/tex]

Taking the natural logarithm of both sides, we get:

ln(0.54) = -0.012t

Solving for t, we get:

t = ln(0.54) / (-0.012)

t ≈ 97.8 minutes

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Answer:

59.8741928

Step-by-step explanation:

132lbs to kg is 59.8741928

De acuerdo con la información previa, el sudoku se completaría con los números como se muestra en la imagen anexada.

Un sudoku es un juego numérico en el que tenemos 9 cuadrículas de 3 x 3 cuadros en los que tenemos que ubicar los números de 1 al 9 sin que se repitan en columnas, filas o en el mismo cuadro de 9 cuadrículas. Este juego se asocia con un buen nivel de análisis matemático. Adicionalmente, para solucionar un juego de Sudoku debemos analizar los números que ya están puestos en él como pistas para ubicar el resto de números.

De acuerdo con lo anterior, el Sudoku de la imagen muestra cómo se completó correctamente. En él ningún número se repite en filas, columnas o cuadrículas.

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Answer:

8 Mph

Step-by-step explanation:

We can solve this problem by using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. Let's call the speed of the first bicyclist "v1" and the speed of the second bicyclist "v2". After 1.5 hours of riding, the first bicyclist has traveled 1.5v1 miles to the south, and the second bicyclist has traveled 1.5v2 miles to the east. The distance between them is the hypotenuse of a right triangle with legs of length 1.5v1 and 1.5v2:

c^2 = (1.5v1)^2 + (1.5v2)^2

where c is the distance between the two bicyclists, which is given as 12√2 miles. Substituting and simplifying, we get:

(12√2)^2 = (1.5v1)^2 + (1.5v2)^2

288 = 2.25v1^2 + 2.25v2^2

128 = v1^2 + v2^2

We also know that the two bicyclists are traveling at the same speed, so v1 = v2. Substituting this into the equation above, we get:

128 = 2v1^2

v1^2 = 64

v1 = √64 = 8

Therefore, each bicyclist is traveling at a speed of 8 miles per hour.

Refer to the image attached.

Answer: Thor got 32 magic pencils

Step-by-step explanation: The ratio say it is 4:6:3 which means that we have to add them together to get the total. 4+6+3=13. Now that we know we have 13 parts we need to divide by 104 to get the answer, 104/13=8, Thor got 4 parts, as we know from the problem so we multiply 8 by 4 and we get 32.