4. Anthony wanted to make his own soup can label. The soup can is shaped like a cylinder.

The can has a diameter of 16 cm and a height of 8 cm. About how much paper did he

used to create the label (lateral)? (If necessary, use T = 3. 14 )

Answer:

Put a picture Then I can help hun

Step-by-step explanation:

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

As stated in the assertion The ladder will be able to climb up the building around 34.64 feet.

We can use the Pythagorean theorem to address this issue by referring to "height" and taking into account the 40-foot ladder that is situated 20 feet from the building's base. According to the theorem, the square root of the length of the hypotenuse, or side opposite the side with the right angle, in a right-angled triangle, is equal to the sum of each square of the lengths of each of the other two sides.

In this instance, the height of the ladder on the building serves as the hypotenuse, with the distance to the building's base serving as one of its sides. These sides should be labelled as follows:

The Ladder's hypotenuse measures 40 feet

- Side 1 is 20 feet away from the base.

Side 2 (height attained) equals h

The Pythagorean theorem yields the following result: 402 = 202 + h2.

1600 = 400 + h2 h2 = 1200 h 34.64 feet when h is solved for.

The ladder may therefore climb the building to a height of about 34.64 feet.

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Answer: 5

Step-by-step explanation:

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

The equation representing the relationship between dy/dt and dx/dt that is rate at which the length of the woman's shadow is changing is equal to option C. dy/dt =4× (dx/dt).

Woman is walking towards the street lamp.

Rate at which the length of her shadow is changing as she walks.

Let us consider the height of the street lamp as h = 20 feet.

Height of the woman be w = 5 feet.

And the distance between the woman and the street lamp be x.

Length of the woman's shadow be y.

Triangles formed by the woman, the street lamp, and their shadows are similar.

Sides of similar triangles are in proportion,

This implies,

h / y = (h + w) / (x + y)

Solving for y we get,

⇒h(x + y) = y(h + w)

⇒hx + hy = hy + wy

⇒y = hx / w

Rate at which the length of the woman's shadow is changing by differentiating both sides of this equation with respect to time,

⇒ dy/dt = h(dx/dt) / w

Substitute in the values for dx/dt = 3 ft/s, h and w we get,

⇒dy/dt = (20)(3) / 5

⇒dy/dt = 60 /5

⇒dy/dt =12

⇒dy/dt = 4(3)

⇒dy/dt =4× (dx/dt)

Therefore, the rate at which the length of the woman's shadow is changing is given by option C. dy/dt =4× (dx/dt) .

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Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

\(Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}\)

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

Answer:

C) 24

Step-by-step explanation:

8; 16 24 32 40 48

12; 24 36 48 69 72

They both have the common multiple of 24 and 48 in the intermediate multiplication since 24 is half of 48 and is the smallest multiple that is the answer.

Answer:

how would i know

Step-by-step explanation:

you did this to me, and its is sickining. get a life

Answer/Step-by-step explanation:

f(6) = 3x² - 5

f(6) = 3(6)² - 5

f(6) = 3(36) - 5

f(6) = 108 - 5

f(6) = 103

(x, y) = (6, 103)

I hope this helps!

To calculate the variance, we need a set of values. However, in the provided question, there are only values listed without any context or specific data set. The variance is a statistical measure that quantifies the spread or dispersion of a set of data points.

To calculate the variance, we typically need a set of numerical values. The formula for calculating the variance is as follows:

Variance = [(Σ(x - μ)²) / N]

where Σ represents the sum, x is an individual value, μ is the mean of the values, and N is the total number of values.

Without the specific values or context, it is not possible to calculate the variance or fill in the missing values in the formula. In order to calculate the variance, a specific data set needs to be provided.

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Answer: 3

This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.

Answer:

\( P = 2x+2y\)   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

\( P-2y = 2x\)

\( \frac{P-2y}{2} =x\)

And replacing we got:

\( x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in\)

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

\( P = 2x+2y\)   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

\( P-2y = 2x\)

\( \frac{P-2y}{2} =x\)

And replacing we got:

\( x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in \)

And the width for this case would be 15.8 in

Considering the given pedigree of a rare homozygote recessive disease with a penetrance of 75%, the probability that individual ii-2 exhibits the disease can be calculated using conditional probability.

In the pedigree, individual ii-2 is the offspring of two unaffected parents (I-1 and I-2), both of whom are carriers of the recessive disease allele. Since the disease is rare and follows a homozygote recessive inheritance pattern, ii-2 must inherit two copies of the disease allele to exhibit the disease.

The penetrance of a disease refers to the proportion of individuals carrying the disease-causing genotype who actually display the associated phenotype. In this case, the penetrance is given as 75%, which means that 75% of individuals with the disease genotype will exhibit the disease phenotype.

To calculate the probability that individual ii-2 exhibits the disease, we can consider the probability of inheriting two disease alleles from the carrier parents (I-1 and I-2) and then multiply it by the penetrance. Since both parents are carriers, they each have a 50% chance of passing on the disease allele to their offspring.

Therefore, the probability of ii-2 inheriting two disease alleles is (0.5) * (0.5) = 0.25. Multiplying this probability by the penetrance of 75% gives us the final probability: 0.25 * 0.75 = 0.1875, or 18.75%.

Hence, the probability that individual ii-2 exhibits the disease, given a penetrance of 75%, is 18.75%.

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The ordered pair (5, −6) is a solution to the first and second equations because it makes both equations true.

In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

The given system of equations is

x + y = -1          ......(1)

3x - y = 21       ......(2)

Rewrite equation (1)

y = - x - 1        ......(3)

Put equation (4) in equation (3)

3x -(-x -1) = 21

3x + x + 1 = 21

4x = 20

x = 20/4

x = 5

Put x= 5 in equation (3)

y = - 5 - 1

y = - 6

So, both the options are correct, (5, -6) is the solution of both equations.

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Answer:

\(y = 23\).

Step-by-step explanation:

Two right triangles are congruent by the \(\texttt{HL}\) postulate if and only if:

In this example, the hypotenuses of the two right triangle are \(\textsf{CO}\) and \(\textsf{FD}\), respectively.

For these two right triangles to be congruent by \(\texttt{HL}\), these two lengths should be equal to one another. Equate these two lengths and solve for \(y\):

\(\textsf{CO} = \textsf{FD}\).

\(73 = (3\, y + 4)\).

\(y =23\).

The number of feet Jacob has traveled since he started walking toward Elizabeth is 2.5t .

Let the distance between Jacob and Elizabeth is 210 feet

Distance = speed x time

Jacob is walking at the constant speed of 2.5 feet per second

and Elizabeth is walking at a constant speed of 4.5 feet per second

Let the distance traveled by jacob be x and distance traveled by Elizabeth be (210 - x)

Let t be time passed when they both started walking towards each other

So the time taken by Jacob to cover x amount of distance is t

so by formula Distance = speed x time

x = 2.5 x t

So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

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Answer:

x = 5 ,

y = 3

Use substitution method .

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=13;5x−4y=13

Step 1: Solve 2x+y=13 for y:

Solve 2x + y = 13 for y

2x + y + -2x = 13 + -2x

(add -2x to both sides)

y = -2x + 13

Step 2: Substitute −2x+13 for y in 5x−4y=13:

5x−4y=13

5x−4(−2x+13)=13

13x−52=13(Simplify both sides of the equation)

13x−52+52=13+52(Add 52 to both sides)

13x=65

(Divide both sides by 13)

13x/13 = 65/13

x = 5

Step 3: Substitute 5 for x in y = −2x+13:

y = −2x+13

y = (−2)(5)+13

(Simplify both sides of the equation)

y = 3

Answer: x= 5, y= 3

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

(a). There is a 5.26% chance that the metal ball falls into a green slot.

(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

(c). P(00 or red)  ≈ 0.5263

(d). This event is called impossible.

(a) P(green) = 2/38 = 1/19 ≈ 0.0526.

This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)

(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)

(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.

(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

8.25 per one article

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

i hope this helps

In the wοrd prοblem , the difference between their jump is C) 1 yard.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here Height of Natalie jumped = \(2\frac{5}{6}\) yards

Height of Mia jumped = \(1\frac{7}{8}\) yards

Now the difference between their jumps is ,

=> \(2\frac{5}{6}-1\frac{7}{8}\)

=> \(\frac{12+5}{6}-\frac{8+7}{8}\)

=> \(\frac{17}{6}-\frac{15}{8}\)

=> \(\frac{136-90}{48}\)

=> \(\frac{46}{48} = \frac{23}{24}\) yards \(\sim 0.95 = 1 yard\)

Hence the difference between their jump is C) 1 yard.

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Answer: Most likely the mean would still be 3°C. I could give you the definite answer if I knew what the other data points were, and how they were arranged on a dotplot/histogram for easyness to find the mean, median, and mode.

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

The expression is simplified to 16/81

Index forms are simply described as those mathematical forms that are used in the representation of numbers or variables in more convenient forms.

Index forms are also referred to as;

From the information given, we have;

(8/27)⁴/³

To determine the value

Find the cube root, we get;

(∛8/27)⁴

(2/3)⁴

Find the value of the exponents

16/81

Thus, the value is 16/81

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Answer:

x ≤ - 2

Step-by-step explanation:

Given the inequality :

3x+5≤−1

Subtract 5 from both sides

3x + 5 - 5 ≤ - 1 - 5

3x ≤ - 6

Divide both sides by 3

3x/3 ≤ - 6/3

x ≤ - 2

Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.

Answer:

18

Step-by-step explanation:

original 3:4

now 18:24

Multiply by 6

Answer:

721 hours

Step-by-step explanation:

Skills needed: Multiplication, Logical Reasoning

1) First, we need to gather information:

--> November has 30 days

--> There are 24 hours in each day

2) This means that there are:

\(24 * 30\)  = 720 days in November without counting daylight savings.

3) With daylight savings:

--> We add one extra hour, since we go one hour back. So that day, 1:59 would go back to 1:00, with an extra hour.  So we add one to the total. \(720 + 1 = 721\) is your answer

Hope this helps and have a nice day! :) :}

Answer:

A: Negative cash flow, $50

Step-by-step explanation:

Bob makes $3000 a month.

Every month he has to pay $950:

3000 - 950 = 2050

Pay an additional $250:

2050 - 250 = 1800

And another additional $1850:

1800 - 1850 = -50

Therefore, he has a negative cash flow of $50 a month.

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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