On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each second. The speed limit is 65 miles per hour. What is the domain of the function?

The hexadecimal equivalent of the binary number 1111 1111 is FF.

The hexadecimal number system is a base-16 system that uses sixteen symbols, 0 to 9 and A to F, to represent numbers.

Each hexadecimal digit represents four binary digits, which makes it easier to convert binary to hexadecimal and vice versa.

The conversion process involves grouping the binary number into sets of four bits, starting from the right, and then converting each group into its hexadecimal equivalent.

In the case of the binary number 1111 1111, it can be grouped into two sets of four bits: 1111 and 1111. The binary number 1111 is equal to 15 in decimal, and the hexadecimal equivalent of 15 is F. Therefore, the hexadecimal equivalent of 1111 1111 is FF.

It's worth noting that FF in hexadecimal is equal to 255 in decimal, which is the largest number that can be represented with 8 bits in binary.

The use of hexadecimal notation makes it easier to read and understand large binary numbers, as well as to perform conversions between different number systems.

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The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer: (6, -5)

Step-by-step explanation:

       The slope 2/3 means that there is a positive change of 2 in the y-value ( + 2) and a positive change in the x-value of 3 (+ 3) for every new point. To find another point on the line, we can add 2 to the y-value and 3 to the x-value.

    ➜ Slope is written as y over x

    ➜ Coordinate points are written as (x, y)

       (3, -7)

       (3 + 3, -7 + 2)

       (6, -5)

       We can also find a point on the line by graphing. See attached.

The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Answer:

x = (-3+√15)/2 or, x = (-3-√15)/2

Step-by-step explanation:

2x²+6x-3=0

Standard quadratic formula,

ax²+bx+c = 0

where,

x =(-b±\(\sqrt{b^{2}-4ac }\))/2a       ...............................(i)

Here,

a = 2

b = 6

c = -3

Putting the values in equation(i), we get,

x = (-6±\(\sqrt{6^{2} -4.2.(-3)}\))/2.2

=(-6 ± √60)/4

=(-6 ± 2√15)/4

= (-3 ± √15)/2

Therefore, x = (-3+√15)/2 or x = (-3-√15)/2 :)

Answer:

Dimensions: 15 cm × 7 cm

Step-by-step explanation:

The system described in (a) is invertible, and its inverse system is y_inv(t) = x_inv(t + 4). The system described by (b) is not invertible. The system described in (c) is not invertible. The system described in (d) is invertible, and its inverse system is y_inv[n] = x_inv[n/2].

(a) For the system y(t) = x(t - 4), we can see that it is invertible because we can determine the original input signal x(t) by delaying the output signal y(t) by 4 units of time. Therefore, the inverse system is y_inv(t) = x_inv(t + 4), where x_inv(t) represents the inverse input signal.

(b) The system y[n] = x[1 - n] is not invertible because it does not preserve the information about the original input signal. If we consider two different input signals x1[n] and x2[n] such that x1[n] ≠ x2[n], we can observe that y[n] will be the same for both signals when n = 1. Hence, the system maps different input signals to the same output, indicating a lack of invertibility.

(c) Similar to the previous case, the system y[n] = x[n]x[n - 1] is not invertible because it does not preserve the information about the original input signal. By choosing two different input signals x1[n] and x2[n] such that x1[n] ≠ x2[n], we can find a situation where y[n] is the same for both signals when n = 1. Again, this implies a lack of invertibility.

(d) The system y[n] = x[2n] is invertible because we can recover the original input signal x[n] by downsampling the output signal y[n] by a factor of 2. Therefore, the inverse system is y_inv[n] = x_inv[n/2], where x_inv[n] represents the inverse input signal.

In summary, systems (a) and (d) are invertible, and their inverse systems have been provided. On the other hand, systems (b) and (c) are not invertible, and multiple input signals can yield the same output.

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The amount of zinc oxide need to be added to 450 g of 1.5% ointment to make a 11% zinc oxide ointment is 48 gram.

A fraction represent the number of parts in total or whole. Fraction is sometimes denoted in percentage, e.g. 20% means a fraction of 20/100.

In the given problem, let w is the amount of zinc oxide need to be added.

Original weight of Zinc oxide = 1.5% x 450 g

After adding w gram of zinc oxide, weight of zinc oxide = 1.5% x 450 + w

Original weight of ointment = 450 g

After adding w gram of zinc oxide, weight of ointment = 450 + w

Hence, the new fraction of zinc oxide:

(1.5% x 450 + w) / (450 + w) = 11%

1.5% x 450 + w = 11% x 450 + 11% w

9.5% x 450 = 89% w

w = 48

Hence, the amount of zinc oxide need to be added is 48 gram.

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The app costs $11.6, so Jade and Chet will need that much cash.

How to solve equation?

Jade = 8 + 2x

Chet = 4x + 6

Where,

x = $2.50

Amount each earned:

Jade = 8 + 2x

= 8 + 2(2.50)

= 8 + 5

= $13

Chet = 4x + 6

= 4(2.50) + 6

= 10 + 6

= $16

Combined earnings = $13 + $16

= $29

Amount planned to save = 40% of combined earnings

= 40% × $29

= 0.4 × 29

= $11.6

Jade and Chet will therefore need to spend $11.6 to buy the software.

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Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

Answer:

2 pieces

Step-by-step explanation:

2 1/2-1 1/4=1 1/4, so 2

Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!

The second graph represents the function on the interval [-3,3].

The function is f(x)=[x]-2.

The function is defined in the interval [-3, 3].

The greatest integer function is represented y=[x].

The greatest integer can also be known as floor function. The function is integral part of real numbers.

The values of greatest function f(x)=[x]-2 in the interval [-3, 3] can be obtained as follows:

Substitute x=-3 in function f(x):

f(-3)=[-3]-2

=-5

Substitute 3  for x  in the function f(x):

f(3)=[3]-2

=1

The minimum value of the function in [-3, 3] is -5.

The maximum value of the function in [-3, 3] is 1.

Hence, the second graph represents the function on the interval [-3,3].

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Step-by-step explanation:

You simply have to multiply 3 by all what is in the bracket forinstance

3x+6 , this is so because 3 is multiplied by x and also multiplied by 2

Answer:

that they were going a constant speed for a while

And at one time they came to a complete stop

Hopes this helps

Answer: $7.99 per set of earrings

Step-by-step explanation:

Divide total cost by the number of earring sets

Answer:

$7.99

Step-by-step explanation:

divide 47.94 by 6

74.95 or 75 I think

Step-by-step explanation:

I put it into a triangle calculator, so it could be wrong.

The measure of the angle S from the given triangle QRS is 65°.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔQRS, q = 99 cm, r = 17 cm and s=96 cm.

96²=99²+17²-2×99×17cosS

9216=9801+289-198cosS

-874=-198cosS

cosS=4.14

∠S=65°

Therefore, the measure of the angle S is 65°.

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Answer:

y-1 = 0(x-1)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

First find the slope

m = (y2-y1)/(x2-x1)

   = (1-1)/(-8-1)

    = 0/-9

     = 0

y-1 = 0(x-1)

y-1=0

Answer:

C

Step-by-step explanation:

Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.

The value of mSW is -63.75 by using the information given about the angles mSW, mTV, and mTUV and substituting the value of x.

Given:
mSW = (12x – 5)
mTV = (2x + 7)
mTUV = (6x - 19)

To find mSW, we need to substitute the value of mSW into the equation for mTUV, since mTUV is the angle between mSW and mTV.

mTUV = mSW + mTV

Substituting the given values:
(6x - 19) = (12x – 5) + (2x + 7)
Now, let's solve the equation step by step.

First, we can simplify the equation by combining like terms:
6x - 19 = 12x - 5 + 2x + 7
Next, let's simplify the equation further by combining like terms on the right side:
6x - 19 = 14x + 2
To isolate the variable, let's move the constant terms to one side and the variable terms to the other side:
6x - 14x = 2 + 19

Simplifying:
-8x = 21
Now, we can solve for x by dividing both sides of the equation by -8:
x = -21/8
Finally, to find the value of mSW, we substitute the value of x into the equation for mSW:
mSW = 12x - 5
mSW = 12(-21/8) - 5
Evaluating this expression:
mSW = -63.75
Therefore, the value of mSW is -63.75.

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Answer:

tbh i do not know the ancer i wish you good luck

To approximate the integral ∫2.4 to 2 f(x) dx using Simpson's rule, we divide the interval [2, 2.4] into subintervals and approximate the integral within each subinterval using quadratic polynomials.

Given the data points (x, f(x)) = (2, 0.6931), (2.2, 0.7885), and (2.4, 0.8755), we can use Simpson's rule to approximate the integral.

Step 1: Determine the step size, h.

Since we have three data points, we can divide the interval [2, 2.4] into two subintervals, giving us a step size of h = (2.4 - 2) / 2 = 0.2.

Step 2: Calculate the approximations within each subinterval.

Using Simpson's rule, the integral within each subinterval is given by:

∫f(x)dx ≈ (h/3) * [f(x₀) + 4f(x₁) + f(x₂)]

where x₀, x₁, and x₂ are the data points within each subinterval.

For the first subinterval [2, 2.2]:

∫f(x)dx ≈ (0.2/3) * [f(2) + 4f(2.1) + f(2.2)]

≈ (0.2/3) * [0.6931 + 4(0.7885) + 0.8755]

For the second subinterval [2.2, 2.4]:

∫f(x)dx ≈ (0.2/3) * [f(2.2) + 4f(2.3) + f(2.4)]

≈ (0.2/3) * [0.7885 + 4(0.4545) + 0.8755]

Step 3: Sum up the approximations.

To obtain the approximation of the total integral, we sum up the approximations within each subinterval.

Approximation ≈ (∫f(x)dx in subinterval 1) + (∫f(x)dx in subinterval 2)

Calculating the values, we get the final approximation of the integral ∫2.4 to 2 f(x) dx using Simpson's rule.

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Answer:

\(\frac{1}{1200}\)

Step-by-step explanation:

interesting question:

if grinch is a person like shown in the story,

the fraction would be \(\frac{1}{1200}\), this represents the grinch among the people in Whoville.

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to make an interpretation

From the question, we have that initially when the count was started, there were 5,428 people; this means that the initial value of the data is 5,428

For the rate of change, we have that there is an average increase of 142 people for each of 5 years;

That means per 5 years, there is an increase of 142 people and this is what represents the rate of change

Answer:

1

Step-by-step explanation:

Answer:

the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1

Step-by-step explanation: so. out of he answer choices choose A. -1

mark brainliest

Answer:

the circumstance would be 21.99

the area is 38.48

Step-by-step explanation:

radius is half the diameter so your radius is 3.5

The area of a circle is pi times the radius squared (A = π r²) which for you would be A = 3.14 × 3.5²

circumference is found by multiplying 2 times pi times the radius (C = 2πr) which for you would be C = 2 × 3.14 × 3.5