what fraction is less greater than 1/2 and less than 4/5

Answer:

nope

Step-by-step explanation:

sorry about not knowing how to

Answer:

08

16

24

32

40

48

56

64

72

80

Step-by-step explanation:

From 1-10 You can see the numbers going from 0-8 on the left side except you repeat the number 4 twice then proceed. Then on the right side you do it backwards but instead you use the 2 times tables and you’re going to want to work your way from bottom to top and then when you reach to 0 which is the number 10 you repeat the 2 times tables again.

Answer:

\(8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} \)

Answer:

The average speed on the return trip is 2.44 miles/h.                  

Step-by-step explanation:

To find the average speed we need to use the following equation:

\( \overline{v} = \frac{d}{t} \)

Where:

d: is the distance

t: is the time

Since the question is to find the average speed on the return trip, we will take the data of the time and speed of only the return trip.

\(\overline{v} = \frac{d}{t} = \frac{5 + 1/2}{2 + 1/4} = 2.44 miles/h\)                

Therefore, the average speed on the return trip is 2.44 miles/h.

I hope it helps you!

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

Mean (m): 2.978

Variance (s²): 2.389

Standard deviation (s): 1.544

Mean (m):

The mean can be calculated as follows:

Mean = Σ(x * p(x))

where Σ is the summation operator, x is the value of the random variable, and p(x) is the probability of x.

In this case, the mean is calculated as follows:

Mean = (0 * 0.022) + (1 * 0.113) + (2 * 0.144) + (3 * 0.273) + (4 * 0.201) + (5 * 0.193) + (6 * 0.054) = 2.978

Variance (s²):

The variance can be calculated as follows:

Variance = Σ(x² * p(x)) - m²

where Σ is the summation operator, x² is the square of the value of the random variable, p(x) is the probability of x, and m is the mean.

In this case, the variance is calculated as follows:

Variance = (0² * 0.022) + (1² * 0.113) + (2² * 0.144) + (3² * 0.273) + (4² * 0.201) + (5² * 0.193) + (6² * 0.054) - 2.978² = 2.389

Standard deviation (s):

The standard deviation can be calculated as follows:

Standard deviation = √Variance

In this case, the standard deviation is calculated as follows:

Standard deviation = √2.389 = 1.544

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Using the Pythagorean Theorem, it is found that the magnitude of the resultant force acting on the  barge is of 86.05 newtons.

The Pythagorean Theorem states that in a right triangle with legs \(l_1\) and \(l_2\), the measure of the hypotenuse \(h\) is given by:

\(h^2 = l_1^2 + l_2^2\)

When one force is applied north/south, and the other east/west, the magnitude is the hypotenuse of a right triangle in which the forces are the legs.

In this problem, the forces are \(l_1 = 67, l_2 = 54\), hence:

\(h^2 = l_1^2 + l_2^2\)

\(h^2 = 67^2 + 54^2\)

\(h = \sqrt{67^2 + 54^2}\)

\(h = 86.05\)

The magnitude of the resultant force acting on the  barge is of 86.05 newtons.

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Answer:

Vertical stretch by a factor of 8

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial \(\rm 6x^3- 22x^2- 9x + 33\).

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        \(\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)\)

        \(= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)\)

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

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Answer:

22 years.

Step-by-step explanation:

(continued), How long will it take the 5000 Swiss Francs to accrue to 10000 = 2 x 5000 Swiss Francs.

Define T as

T = the time to double the investment.

Then, we have that

10000 = 5000(1 + 3.25%)^T

2 = (1 + 0.0325)^T

2 = (1.0325)^T

ln(2) = ln [ (1.0325)^T ]

ln(2) = T ln (1.0325)

T = ln(2) / ln(1.0325)

T = 21.6723317643

T = 22 years, rounded to the nearest year.

The answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The time will be calculated as follows:-

4 windows ------->   5 hours

1 window   --------> 5 / 4 hours

7 window  --------> 7 x ( 5 / 4 )

7 window  --------> 8.75 ≅ 8 hours 45 minutes

Therefore the answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.

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If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Starting with the first expression:

Simplifying the second expression:

Simplifying the third expression:

Simplifying the fourth expression:

Simplifying the last expression:

\(\pink{\bigstar}\) Amount of apple juice Will added \(\large\leadsto\boxed{\tt\purple{1 \frac{5}{12}}}\)

➪ Amount of grape juice Will added = 1/4

➪ Amount of juice in total after adding the apple juice = 1⅔

Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.

Hence,

➪ \(\sf 1 \frac{2}{3} - \dfrac{1}{4}\)

➪ \(\sf \dfrac{5}{3} - \dfrac{1}{4}\)

• Taking an L.CM:-

➪ \(\sf \dfrac{20 - 3}{12}\)

➪ \(\sf \dfrac{17}{12}\)

➪ \(\large{\bold\red{1 \frac{5}{12}}}\)

Therefore, the amount of apple juice added is \(\large{\bold 1 \frac{5}{12}}\)

Given:

Multiplying y = 3x - 5 by 2:

               y = -6x - 5

               y = -6x - 5

Adding both equations:

Dividing 3 both sides:

Substitute the value of y into any equation.

Divide -6 both sides.

Given:

Add both the equations.

        y = -8x + 7

Divide 2 both sides.

Substitute the value of y into any equation.

Add 9 both sides.

Divide 8 both sides.

Given:

Reorganize the first equation.

Multiply the first equation by 5.

          y = -5x + 12

          y = -5x + 12

Add both the equations.

Divide 31 both sides.

Substitute the value of y into any equation.

Subtract 702/31 both sides.

Answer:

4

Step-by-step explanation:

x + 2y = 2 + 2(1)

          = 2 + 2

          = 4

The equations that are quadratic in form include:

A. x⁴ – 6x²– 27 = 0

D. 6x⁴ = -x² + 5

E. 8x⁴ + 2x² – 4x = 0

A quadratic equation simply refers to the equation which is in an algebraic equation that is of the second degree.

It should be noted that a quadratic equation is in the form of ax² + bx + c = 0.

In this situation, a and b are the coefficients while c is the constant in the equation.

Therefore, based in the information given, the correct options are A, D, abd E.

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Answer:

The equations that are quadratic in form include:

A. x⁴ – 6x²– 27 = 0

D. 6x⁴ = -x² + 5

E. 8x⁴ + 2x² – 4x = 0

Step-by-step explanation:

Answer:

z = -2

Step-by-step explanation:

First, use the Distributive property to Multiply 4*3z. Do the same to 4*5. You should now have 12z + 20 = -4

Next, you want to isolate the variable. To do that, start by Subtracting 20 from both sides of the equation sign. You should now have 12z = -24

Last, Divide each side by 12. You should now have z = -2

I hope this helps!

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer:

here:

you can make an equation

x + ( x + 2) + (x + 4) = 30

then by combining like items you get

3x + 6 = 30

then solve

3x = 30 - 6 ; then 3x = 24 , and x = 8

so the three numbers are 8 ; 10 and 12.

Answer:

x = 5

Step-by-step explanation:

so since the triangles are congruent, you need to set them equal to each other and combine like terms.

9x + 3 = 6x + 18

subtract 3 to get the numbers all on one side

9x = 6x + 15

subtract 6 to get all the variables on the left side

3x = 15

divide

x = 5

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

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Answer:

-60

Step-by-step explanation:

-46-14=-60

Answer:

-46-14=-60

Step-by-step explanation:

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

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We can deduce from these findings that the actual population mean is variable probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

In the context of a mathematical idea or experiment, a variable is something that can be altered. Frequently, a single symbol is used to symbolize a variable. Variables are frequently represented by the letters x, y, and z as abstract symbols.

The first thing I want to say is that it is a widespread misconception that the average body temperature is 98.6 degrees. Although the "normal" or average body temperature is frequently stated as 98.6 degrees Fahrenheit (or 37 degrees Celsius), this value is not true for everyone. The average body temperature may actually be lower than previously thought, hovering around 97.5–97.7 degrees Fahrenheit, according to study.

Here is the SPSS output for the one-sample t-test so that we can get back to the job at hand:

Descriptive Statistics

N       Mean      Std. Deviation   Std. Error Mean

25      97.528    0.694            0.139

One-Sample Test

Test Value = 98.6

t         df        Sig. (2-tailed)   Mean Difference

-5.238    24        .000              -1.072

We can deduce from these findings that the actual population mean is probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

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The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

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Therefore , The function's amplitude, 36, represents the biggest departure from the 14°F average temperature.

January 10 when coldest day of year

The amplitude of a function is the maximum deviation from the average value of the function.

Inauspicious weather in Fairbanks The anticipated low temperature where was determined by years' worth of weather data.

The formula T(t) = 36 sin [2/365(t-101)] +14 can be used to estimate the temperature T (in °F) in Fairbanks, Alaska, where t is measured in days and t=0 equals January 1.

A)

The function's amplitude, 36, represents the biggest departure from the 14°F average temperature.

The amplitude of the function is 36, the period is 365 days, and the phase shift is 101 days. The range of temperatures for the graph of T(t) is [14-36,14+36] = [-22,50].

b) To find the coldest day of the year, we need to find when sin [2π/365(t–101)] = -1 which occurs when t-101 = (365/2) or t = 266 days.

Therefore, the coldest day of the year is predicted to be on October 1st (since t=0 corresponds to January 1st).

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a. The range of temperatures is [-22, 50].

b. We predict that the coldest day of the year in Fairbanks, Alaska is on or around October 11

A smooth, repeating oscillation characterizes a sinusoidal function. Because the sine function is a smooth, repeated oscillation, the word "sinusoidal" is derived from "sine". A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.

a) The equation T(t) = 36 sin [2π/365(t–101)] +14 is in the form:

T(t) = A sin (B(t – C)) + D

where A is the amplitude, B is the frequency (related to the period), C is the phase shift, and D is the vertical shift.

Comparing this with the given equation, we can see that:

A = 36 (amplitude)

B = 2π/365 (frequency)

C = 101 (phase shift)

D = 14 (vertical shift)

The period is the reciprocal of the frequency, so:

period = 1/B = 365/2π

To find the range of temperatures, we can note that the maximum and minimum values of the sine function are +1 and –1, respectively. Therefore, the maximum temperature is:

T_max = 36(1) + 14 = 50

and the minimum temperature is:

T_min = 36(-1) + 14 = -22

So the range of temperatures is [-22, 50].

b) To find the coldest day of the year, we need to find the value of t that minimizes T(t). Since T(t) is a sinusoidal function, its minimum occurs at the midpoint between its maximum and minimum, which is:

T_mid = (T_max + T_min)/2 = (50 - 22)/2 = 14

We want to find the value of t that gives T(t) = 14. Using the equation:

T(t) = 36 sin [2π/365(t–101)] +14

we can rearrange and solve for t:

36 sin [2π/365(t–101)] = 0

sin [2π/365(t–101)] = 0

2π/365(t–101) = kπ, where k is an integer

t – 101 = (k/2)365

t = (k/2)365 + 101

Since we want the value of t that corresponds to the coldest day of the year, we want k to be odd so that we get the smallest positive value of t. Therefore, we can let k = 1:

t = (1/2)365 + 101

t = 183 + 101

t = 284

So we predict that the coldest day of the year in Fairbanks, Alaska is on or around October 11 (since t = 284 corresponds to October 11 when t = 0 corresponds to January 1).

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