there are 22 soccer balls, and each bag holds 6 balls. how many bags does rico completely fill ? how many soccer are left?

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

A not similar

Step-by-step explanation:

72 × 2 = 144

78 × 2 = 156

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The quadratic equation in vertex form is y = 9(x²+ 1/2)² - 5/4

We have the quadratic quation y = 9x²+9x -1

Factor the first-two terms. That is:

y = 9x²+9x -1

9(x²+1) - 1 = 0

9(x²+x) = 1

Add the square half of the coefficient of x to both sides:

9(x²+x+(1/2)²) = 1 +(1/2)²

9(x²+ 1/2)² = 5/4

9(x²+ 1/2)² - 5/4 = 0

Thus, the quadratic equation in vertex form is y = 9(x²+ 1/2)² - 5/4

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Answer:

94.5cm²

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The absolute value of his dive is 98 ( |-98| = 98)

What is Absolute value ?

In mathematics, the non-negative value of x, regardless of its sign, is referred to as its absolute value or modulus, indicated by the symbol |x|. In particular, |x|=x if x is a positive number, |x|=-x if x is a negative number (in which case negating x turns -x positive), and |0|=0. For instance, 3 has an absolute value of 3 and so does 3, which likewise has an absolute value of 3. One way to think about a number's absolute value is as its distance from zero.

For the complex numbers, quaternions, ordered rings, fields, and vector spaces, an absolute value is also specified.

According to question:

john went scuba diving and dove down 98 feet

⇒ Represented by  =  - 98 feet  

(-) negative sing shows that the displacement is in downward direction

The absolute value = |-98|

 ⇒                               = 98  {|-X| = X}

So, The absolute value of his dive is 98

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Answer:

  a. D1AF

  b. 1F

  c. 1

  d. EDB2

Step-by-step explanation:

You want these unsigned binary numbers converted to hexadecimal.

  a. 1101 0001 1010 1111

  b. 0001 1111

  c. 0001

  d. 1110 1101 1011 0010

Each group of 4 bits can take on any of 16 different values. Conveniently, each of those corresponds to a hexadecimal digit, as shown in the attachment.

To do the conversion, we replace each group of 4 bits by its hexadecimal equivalent.

  a. D1AF

  b. 1F

  c. 1

  d. EDB2

__

Additional comment

A couple of the given numbers are one or more bits short of a group of 4 bits. You may want to check your actual problem statement to see if the numbers here are the same. The attached table applies in any event.

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

Answer: The equation of the line in the graph is: \(y = \frac{3}{4} x-\frac{7}{4}\)

Step-by-step explanation:

Question: What is the equation of the line in the graph?

The standard equation of a line is: y = mx + b

Where m = slope and b = y-intercept.

Lets start with the slope:

The slope of a line is a measure of its steepness.

slope = m = \(\frac{rise}{run}\) = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

(\(x_{1}\), \(y_{1\)) = coordinates of first point in the line

(\(x_{2}\), \(y_{2}\)) = coordinates of second point in the line

slope = m = \(\frac{rise}{run}\) = \(\frac{2--1}{5-1}\) = \(\frac{3}{4}\)

(1, -1) = coordinates of first point in the line

(5, 2) = coordinates of second point in the line

Slope = \(\frac{3}{4}\)

Lets find the y-intercept:

The y-intercept is the point where the graph intersects the y-axis.

Since the y-intercept is not visible number on the graph we can solve it by using a coordinate from the graph, and plugging it into the equation of a line with the slope (3/4).

Step 1: form equation of a line (with slope value we found)

y = 3/4x + b

Step 2:  plug in coordinate (1, -1)

-1 = 3/4(1) + b

Step 3: Solve for b (y-intercept).

-1 = 3/4 + b

-1 - 3/4 = b

-4/4 - 3/4 = b

b = -7/4

The y-intercept = -7/4

So the equation of the line in the graph is: \(y = \frac{3}{4} x-\frac{7}{4}\)

The equation of a circle with a center at (4,−9) and a radius of 5 is

(x−4)^2+(y+9)^2=25. The correct Option C.

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

The equation of a circle with center (h, k) and radius r units is

(x−h)^2+(y−k)^2=r^2 .

where h = 4

k = -9

r = 5

The equation of the circle

(x−4)^2+(y−(-9))^2 = 5^2

The equation of the circle

(x−4)^2+(y+9)^2 = 25

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Answer: I beleve it is c hope this helps

Step-by-step explanation:

The transformation of the function with vertical stretching is given by the relation f ( x ) = 2 ( 1/6 )ˣ

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = ( 1/6 )ˣ   be equation (1)

And , on stretching the function by a vertical factor of 2 , we get

f ( x ) = 2 ( 1/6 )ˣ   be equation (2)

Therefore , the value of f ( x ) is 2 ( 1/6 )ˣ and the graph is plotted

Hence , the transformed function is f ( x ) = 2 ( 1/6 )ˣ

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First, find the equation of the red line in the image, as shown below

Then, integrate the obtained function for each question, as shown below

1)

2) Similarly,

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

The Fourier series for the periodic extension of F(x) is given by: G(x) = 8 + Σ[(9/(jnpi)) * [(-1)^n - 1] - (2/(jnpi)) * [e^(-jnpi/4) - 1] + (11/(jnpi)) * [1 - e^(-jnpi/2)]] * e^(jnpi*x/4) from n = 1 to ∞

To find the Fourier series for the periodic extension of F(x), we need to find the Fourier coefficients.

The period of the function is T = 8, so the fundamental frequency is w0 = 2*pi/T = pi/4.

The Fourier coefficients are given by:

cn = (1/T) * integral from -T/2 to T/2 of [f(x)*e^(-jnw0x) dx]

where n is an integer.

For n = 0, we have:

c0 = (1/T) * integral from -T/2 to T/2 of [f(x) dx]

= (1/8) * [integral from 0 to 3 of (3x+2) dx + integral from 3 to 8 of 11 dx - 2*integral from 0 to 3 of dx]

= (1/8) * [28 + 40 - 6]

= 8

For n ≠ 0, we have:

cn = (1/T) * integral from -T/2 to T/2 of [f(x)*e^(-jnw0x) dx]

= (1/8) * [integral from 0 to 3 of (3x+2)e^(-jnw0x) dx + integral from 3 to 8 of 11e^(-jnw0x) dx]

For the first integral, we have:

integral from 0 to 3 of (3x+2)e^(-jnw0x) dx

= (3/(-jnw0)) * [e^(-jnw0x)(3x+2) |_0^3] - (2/(-jnw0)) * integral from 0 to 3 of e^(-jnw0x) dx

= (9/(jnpi)) * [(-1)^n - 1] - (2/(jnpi)) * [e^(-jn*pi/4) - 1]

For the second integral, we have:

integral from 3 to 8 of 11e^(-jnw0x) dx

= (11/(-jnw0)) * [e^(-jnw0x) |_3^8]

= (11/(jnpi)) * [e^(-2jnpi) - e^(-3jnpi/2)]

= (11/(jnpi)) * [1 - e^(-jnpi/2)]

Therefore, we have:

cn = (1/8) * [(9/(jnpi)) * [(-1)^n - 1] - (2/(jnpi)) * [e^(-jnpi/4) - 1] + (11/(jnpi)) * [1 - e^(-jn*pi/2)]]

The Fourier series for the periodic extension of F(x) is given by:

G(x) = Σcn * e^(jnw0x) from n = -∞ to ∞

Substituting the values of c0 and cn, we have:

G(x) = 8 + Σ[(9/(jnpi)) * [(-1)^n - 1] - (2/(jnpi)) * [e^(-jnpi/4) - 1] + (11/(jnpi)) * [1 - e^(-jnpi/2)]] * e^(jnpi*x/4) from n = 1 to ∞

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Answer:20

Step-by-step explanation:20*20*20=8000 so that means its 20

Answer:

(3x+5)(x−3)

Step-by-step explanation:

Answer: 1.24 is the answer

Answer:

I'm pretty sure it would be 48 divided by 8 which would be 6

Step-by-step explanation:

The area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

the angle of the sector = 70°

the radius = 8 ft

hence the area of the sector is calculated as follows:

(70°/360°) × 22/7 × 8 in × 8 in

we simplify by division and multiplication

1/36 × 22 × 64 in²

352 in²/9

39.1111 in²

Therefore, the area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

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The state of the market if market price was fixed at Birr 25 per unit is excess demand

Qd = 50 - p

p = Qs + 5

p - 5 = Qs

if market price was fixed at Birr 25 per unit?

Qd = 50 - p

= 50 - 25

Qd = 25

Qs = p - 5

= 25 - 5

Qs = 20

The state of the market if market price was fixed at Birr 25 per unit is excess demand (demand greater than supply) leading to an increase in price.

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Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

Answer:

I think it Is C 6..??

Step-by-step explanation:

I could me wrong IM srry also srry for late respond

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

subtract  -3

Step-by-step explanation:

–3 + 4x = 9

Add 3 to each side

This is the same as subtracting -3

-3 + 4x - (-3) = 9 - (-3)

4x = 9 +3

4x = 12