Suppose that 22inches of wire costs 88 cents.

At the same rate, how much (in cents) will 16 inches of wire cost?


Thank You so much if you can answer this.

Answer:

The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)

Step-by-step explanation:

Let us solve the question

∵ Parallelogram FGHJ has vertices at F (4, 4), G (7, 4), H (5, 2), J (2, 2)

∵ The parallelogram is translated down 7 units

∴ k = 7

→ By using the first rule above, subtract every y-coordinates by 7

∴ F' = (4, 4 - 7) = (4, -3)

∴ G' = (7, 4 - 7) = (7, -3)

∴ H' = (5, 2 - 7) = (5, -5)

∴ J' = (2, 2 - 7) = (2, -5)

∵ The parallelogram is reflected over the y-axis

→ By using the 2nd rule above, change the sign of each x-coordinate

∴ F" = (-4, -3)

∴ G" = (-7, -3)

∴ H" = (-5, -5)

∴ J" = (-2, -5)

∴ The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)

Answer:

4.4      5.2    7.4    and    2.2

Step-by-step explanation:

Thus, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.

Tony runs at a speed of 13 feet per second, which means he covers a distance of 13 feet in one second.

Zach, on the other hand, runs 296 feet in 23 seconds, so we need to calculate his speed. To do that, we divide the distance by the time, which gives us 12.87 feet per second.

Ron runs one mile in 527 seconds, which is equivalent to 5,280 feet. Therefore, his speed is 10 feet per second, which is the same as running at a pace of 6 minutes per mile. Finally, Liz runs 597 feet in one minute, so her speed is 9.95 feet per second.

In summary, Tony runs at a speed of 13 feet per second, Zach runs at a speed of 12.87 feet per second, Ron runs at a speed of 10 feet per second, and Liz runs at a speed of 9.95 feet per second.

It's important to note that the distances and times given in these examples are specific to each person and may vary depending on the circumstances.

However, by calculating their speeds, we can compare their performances and determine who is running faster or slower than the others.

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Answer:

\(\left(\dfrac{1}{4},\dfrac{49}{8}\right)\)

Step-by-step explanation:

Turning points (stationary points) occur when the gradient of a graph is zero.

To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.

Given function:

\(f(x)=-2x^2+x+6\)

Differentiate:

\(\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)\)

\(\implies f'(x)=-4x+1\)

Set the differentiated function to zero and solve for x:

\(\implies f'(x)=0\)

\(\implies -4x+1=0\)

\(\implies 4x=1\)

\(\implies x=\dfrac{1}{4}\)

To find the y-coordinate, input the found value of y into the given function:

\(\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6\)

\(\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}\)

Therefore, the turning point of the function is:

\(\left(\dfrac{1}{4},\dfrac{49}{8}\right)\)

answers

f=1/4=49/8

Step-by-step explanation:

identify the coefficients

a=-2, b=1

substitute the coefficient into the expression

x= -1/((2x(-2))

then solve it out the equation

x=1/4

evaluate the function x =1/4

f(x) =-2x²+x+6(1/4)

f=1/4=49/8

The probability that the students will have a pop quiz on a randomly selected day 0.77

Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.

They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.

Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be

P= 0.42*0.60 + 0.58*0.90

P = 0.252 + 0.522

P = 0.774

P ≈ 0.77

The probability that the students will have a pop quiz on a randomly selected day 0.77

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 5 million

μ = mean = 4.56 million

σ = standard deviation = 720,000

z-score = (5 million - 4.56 million) / 720,000

z-score = 440,000 / 720,000

z-score = 0.6111

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  0.6111

Using interpolation of values,

probability = 0.7293

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Answer:

The time it takes to make rag dolls for a mission in Africa.

The time taken.

The cost of an end year party.

Step-by-step explanation:

The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.

The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;

DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.

The distance travelled while walking and the time taken ;

DEPENDENT VARIABLE = THE time taken

The time taken will depend on distance traveled.

The cost of an end of year grade 9 party and the number of people attending ;

DEPENDENT VARIABLE = The cost of an end year party.

Cost of partybwill depend on the number of people attending.

Answer:

Around 300 pounds

Step-by-step explanation:

The value of x = 16, y = 172 and z = 2.

x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8

let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)

x - 4z = 8

x = 8 + 4z

12x - y - 6z = 8

12(8 + 4z) -y - 6z =8

96 + 48z - y - 6z = 8

42z - y = -88

y = 42z + 88

42x + 3y - 2z = 8

42(8+4z) + 3(42z + 88) - 2z = 8

336 + 168z + 126z + 264 - 2z = 8

168z + 126z + 2z = 336+264 - 8

296z= 592

z = 2

substituting the value of z

x = 8 + 4z

= 8 + 4(2)

8+8 = 16

y = 42z + 88

42(2) + 88

84 + 88= 172

The value of x = 16, y = 172 and z = 2.

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Answer:

a. The possible dimensions of the total area are;

The width of the total area is (2·x + 8) inches

The length of the total area is (2·x + 10) inches

b. The dimensions of the photos are as follows;

The length of the photos are 10 inches

The width of the photos are 8 inches

Step-by-step explanation:

a. Given that the area, A = 4·x² + 36·x + 80

We get;

A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)

Therefore, the possible dimensions of the total area (photo + mat) are;

The width of the total area (photo + mat) = (2·x + 8) in.

The length of the total area (photo + mat) = (2·x + 10) in.

b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each

Therefore, we have the dimensions of the photos are as follows;

The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.

The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.

The length of a pendulum with a period of 2 seconds is approximately 51.

the formula for the period of a simple pendulum as a function of its length is given as:

t(l) = 2π √(l/32.2)

we can rearrange this equation to solve for l:

t(l) = 2π √(l/32.2)

t(l)/(2π) = √(l/32.2)

[t(l)/(2π)]² = l/32.2

l = 32.2 * [t(l)/(2π)]²

to determine the length of a pendulum with a period of 2 seconds, we can substitute t = 2 seconds into the equation above:

l = 32.2 * [2/(2π)]²

l = 32.2 * [1.2732]²

l ≈ 51.92 feet 92 feet when π is taken to be 3.14 and rounding to the nearest hundredth.

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\(~~~~~~k = \dfrac{3n+2}{n+1}\\\\\implies k(n+1) = 3n+2\\\\\implies kn+k=3n+2\\\\\implies kn -3n= 2-k\\\\\implies n(k-3) = 2-k\\\\\implies n = \dfrac{2-k}{k-3}\\\\\implies n = -\dfrac{k-2}{k-3}~~~~~~~~;[k\neq 3]\)

Answer: 4. Solve for y in the second equation.

Step-by-step explanation:

Answer:

Solve for y in the second equation.

Step-by-step explanation:

-9x+4y=10

-9x=3-3y

3 - 3y + 4y =10

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The number of school districts in the United States is currently approximately 13,500. This answer is option D in the given choices.

The number of school districts in the United States can vary depending on how they are defined, but according to the National Center for Education Statistics (NCES), there were 13,500 public school districts in the U.S. as of the 2018-2019 academic year. These districts serve approximately 50.7 million students in over 98,000 public schools. It is important to note that this number only includes public school districts and does not include private or charter schools.

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Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Answer: 2.5 or 2 1/2.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Median can described as -

the middle observation when the data values are arranged in ascending order; the second quartile; and 50th percentile all.

Hence the correct option is (D).

Median of a data observations set is the middle point or middle value of the data set arranged in ascending or descending order.

Hence point (A) is correct.

50th percentile means the middle observation or the observation, after or before which equal number of observations lie.

So the point (B) is also correct.

A quartile means = 25 percentile

second quartile stands for = 25*2 = 50 percentile.

Hence point (C) is also correct.

Hence the best suited option is (D) all of the above.

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The question is incomplete. The complete question will be -

To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

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Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

\(-14 = 1x\)

simplifies to

x = -14

Answer:

what's your questions

Answer:

simple

Step-by-step explanation:

-12r+8-2r+2

-14r-10

Answer: stick fight the game

Step-by-step explanation:

Answer:

Electric man?

Not sure if you mean this one but hope this helps

Answer:

C. volume

Step-by-step explanation:

when youre starting your measurements you want to start the volume first.

Answer:

C

Step-by-step explanation:

got it right

The radius, diameter, and area of the circle are, 3.75 m, 7.5 m,

and 44.16 sq m.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

The area of a circle is πr².

Given, Circle X has a 23.55 m circumference.

Therefore, 2πr = 23.55.

Radius(r) is,

r = (23.55/2π) m.

r = 3.75 m.

Diameter = 2×r = 7.5 m.

The area of the circle is,

= π(3.75)² sq m.

= 44.16 sq m.

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The average power that Sam applies to move the package from the bottom of the ramp to the top of the ramp is 180 W.

To find the average power that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp, we need to first calculate the work done by Sam on the package and the time taken to do so.

Work done (W) = Force (F) × distance (d)

Time taken (t) = Distance (d) / Speed (v)

Where

,F = 90 N (force required to move the package

)Distance (d) = 6 m (length of the ramp)

Speed (v) = 2 m/s (constant speed at which the package is moved up the ramp)

So, work done,

W = F × d

= 90 N × 6 m

= 540 J

And, time taken,

t = d / v

= 6 m / 2 m/s

= 3 s

Therefore, the average power (P) that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp is given by,

P = W / t

= 540 J / 3 s

= 180 W

Hence, the average power that Sam applies to the package to move it from the bottom of the ramp to the top of the ramp is 180 W.

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Complete question :

Sam needs to push a 90.0 kg package up a frictionless ramp that is 6 m long and speed  2 m/s. Sam pushes with a force that is parallel to the incline. what is the average power that sam applies to the package to move the package from the bottom of the ramp to the top of the ramp?