**WORTH 30 POINTS** [ the sum of x and 16 is greater than or equal to 32. ]

Answer:

Mary purchased 160 pounds of sand

Step-by-step explanation:

$72÷$0.45=160

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Answer:

81.9 turns

Step-by-step explanation:

100 yd = 36 × 100 in. = 3600 in.

C = πd

C = 3.14 × 14 in. = 43.96 in.

3600/43.96 = 81.9

Answer: 81.9 turns

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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The correlation coefficient indicative of the weakest linear relationship is option (c) -0.05. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

Correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship. Therefore, a correlation coefficient closer to 0 indicates a weaker linear relationship. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

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The length of the longer base of the trapezoid could be 0.75 units, \(\frac{7}{3}\) units, 4 units.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

Given: The original length of trapezoid= 6 units

The scale factor of less than 1

So, compare the given lengths with the trapezoid longer base length,

0.75 units<6 units

\(\frac{7}{3}\) units<6 units

8.75 units< 6 units

But, 12 units> 6 units

Therefore, the length of the longer base can be 0.75, \(\frac{7}{3}\), 4 units.

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The complete question is:

“ Qusai made a scaled copy of the following trapezoid. He used a scale factor less than 1.What could be the length of the longer base of the scaled copy of the trapezoid?

Choose 3 answers:

The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The given inequality,

-3x+y<11

at (0,0)

0<11

it is true.

at (1,1)

-3+1<11

-2<11

it is true.

Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).

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Answer:

1/2 is greater than -1 1/2.

Step-by-step explanation:

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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The amount of paint needed if the dimensions are doubled is; 8 ounces.

The quantity of sugar which the rectangular prism would hold if the dimensions are doubled is; 120 cups of sugar.

Recall,

Area of a rectangular prism = 2 (lw + lh + wh) and

Volume of a rectangular prism = l × w × h.

Hence, when the dimensions are doubled;

New Area = 2 × 4 (lw + lh + wh) = 4 × initial area.

Therefore, the quantity of paint needed is; 4 × 2 ounces = 8 ounces of paint.

Also, when the dimensions are doubled;

New Volume = 2l × 2w × 2h = 8 lwh.

New Volume = 8 × initial volume = 8 × 15 cups = 120 cups of sugar.

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The mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

To find this:

The total time to complete all three tasks is the sum of the time taken for each task. The mean time to complete all three tasks (µx) can be calculated by adding the mean time for each task: µx = 36 + 22 + 8 = 66. The standard deviation (σx) of the total time can be calculated using the standard deviation of each task and the square root of the number of tasks (n).

Using the formula: \(\sigma x = \frac{\sqrt{\sigma1^2 + \sigma2^2 + \sigma3^2}}{\sqrt n}\),

where σ1, σ2, σ3 are the standard deviations of each task, n = 3.

Plugging in the values, we get

\(\sigma x = \sqrt(2.5^2 + 1.8^2 + 0.75^2)/\sqrt3 \\= \sqrt{6.25 + 3.24 + 0.5625}/\sqrt3 \\= \sqrt{10.0525}/\sqrt3 = 3.17\)

Hence, the mean and standard deviation of the total time are µx = 66 and σx = 3.17, so the correct answer is (D) µx= 66 σx= 3.17.

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The solution to this equation is e=-1/3.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

To solve this equation, we first divide both sides by 8e² and then add 1 to both sides. This yields 4e³+ 1 = 8e². We then divide both sides by 4 to obtain e³ = 2e². Finally, we take the cube root of both sides, resulting in e = -1/3.

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Answer:

13.78, 0.22 to nearest hundredth.

Step-by-step explanation:

g^2 - 14g = -3

(g - 7)^2 - 49 - -3

(g - 7)^2 = 46

g - 7 = ±√46

g = 7 ± √46

g = 13.782, 0.218

Answer:

8 and 5

Step-by-step explanation:

8 - 5 = 3

8 + 5 = 13

Answer:

8 and 5

Step-by-step explanation:

8 - 5 = 3

8 + 5 = 13

Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in  6.34 days.

The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:

2 x 4 days = 8 days.

In general, we can use the growth formula:

P(t) = Po . 2^(t/Td)

Where:

P(t) = population at time t

Po = initial population

Td = doubling time

Parameters given:

Td = 4 days

P(t) = 3Po

Plug those parameters into the formula:

3 Po = Po . 2^(t/4)

3 = 2^(t/4)

log 3 = (t/4) log 2

t = 4 . log 3 / log 2 = 6.34 days.

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Solution:

Given that;

The students hold a carwash.

They charge $5 per car. And, if they wash 23 cars, te

Answer:

Step-by-step explanation:

You want to know the price per bushel for wheat, corn, and rye, given the sales ...

Using x, y, and z for price per bushel of wheat, corn, and rye, respectively, the given sales tell us ...

The easiest way to solve a system of equations like this is to make use of the matrix manipulation capabilities of a calculator. The attached calculator display shows the reduction of the augmented matrix of coefficients to "reduced row-echelon form". That puts the solution in the last column:

  x = y = 3.61, z = 1.91

The price per bushel for wheat and corn is the same: $3.61; the price per bushel for rye is $1.91.

__

Additional comment

The second attachment shows a solution using a graphing calculator. In this solution, an expression for z based on the first equation is used in the remaining two equations, which then tell us the values of x and y.

If you add all of the equations, you get 10x +10y +10z = 91.30, which gives you ...

  x + y + z = 9.13

This can be solved for any variable you may want to substitute into any pair of the equations. This approach avoids any messy fractions.

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Answer:

Hello,

Step-by-step explanation:

1/4 of an circle - the triangle

\(Area=\dfrac{\pi*26^2}{4} -\dfrac{26^2}{2} \\\\=169*(\pi-2)\approx{192,93}\)

Answer:

What she said

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x = 65\°}\)

Step-by-step explanation:

Firstly finding y:

We know that: "The measure of the exterior angle is equal to the non-adjacent interior angles."

So,

y = 60 + 55

y = 115°

Since:

y + x = 180 (Angles on a straight line add up to 180 degrees)

115 + x = 180

subtract 115 to both sides

x = 180 - 115

x = 65°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

x = 65

y = 115

Step-by-step explanation:

let the unknown angle be z

so , 60+55+angle z = 180 { angle sum property }

=> 115 + angle z = 180

=> angle z = 180 - 115

=> angle z = 65

now angle z is equal to angle x { because of they are vertically opposite angles }

x = 65

now, for angle y

angle y + angle x = 180 { because they are linear pair }

65+y = 180

y = 180-65

=> y = 115

To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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Answer:

answer is $65

Step-by-step explanation:

hope it helps

Answer:

I think option no B is the correct answer wer.

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Answer:

Step-by-step explanation:

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Answer:

Calculate the skid speed by multiplying the drag factor times the braking efficiency times the skid distance times 30 and taking the square root of the result. For example, if the car skidded 120.5 feet on a road with a drag factor of 0.5 and left four skid marks, the car was going about 42.51 mph.

Step-by-step explanation:

Answer:

Solution given:

65mph

divide the speed value by 2.237

65/2.237=29.05m/s

So

speed =29.05 m/s

now we have

.speed =~30 d (0.5)

29.05/30=0.5d

d=0.96855/0.5

d=1.93

So

the length of the skid marks to be is 2 m.