NEED ANSWERS ASAP


Peter creates a square pyramid


model for History class. The


base of the pyramid has an


area of 20 square inches. Each


triangle has an area of 10


square inches. If Peter wants to


cover the entire pyramid with


gold paper, how much paper


will he need?


WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

The amplitude of vibrations after a very long time is 0.0012 units.

Given that, Mass (m) = 4 kg

Spring constant (k) = 100 N/m

Damping coefficient (c) = 0The force applied is,

f(t) = 24e^(-5t)cos(4t)

Let's start with part (a). The position of the mass

when t=π can be found using the displacement equation of the mass when forced by the given force.

This can be found as,x(t) = (F₀/k)cos(ωt - δ) + (f(t)/k)

Here, the initial displacement (x₀) = 0, as the mass starts from the equilibrium position.

Also, the initial velocity (v₀) = 0,

as the mass is at rest when the force is applied.

Therefore, δ = 0.ω = √(k/m) = √(100/4) = 5

The amplitude of the force is given by F₀ = √(a² + b²),

where a = 0 and b = 24/k = 24/100 = 0.24

Therefore, F₀ = 0.24

The displacement can be found as, x(t) = (0.24/100)cos(5t) + (24e^(-5t)cos(4t))/100

When t = π,x(π)

= (0.24/100)cos(5π) + (24e^(-5π)cos(4π))/100

= (0.24/100)(-1) + (24e^(-5π))(1)/100

= 0.0020 (rounded to 4 decimals)

Hence, the position of the mass when t=π is 0.0020 units.

Now, let's move to part (b).The amplitude of vibrations after a very long time can be found by calculating the steady-state amplitude. This can be found as,

A = F₀/2k= 0.24/(2*100)= 0.0012

To know more about amplitude visit:

https://brainly.com/question/9525052

#SPJ11

Answer:

Eva is 17 years old

Step-by-step explanation:

First, we know that Ana is 12 years younger than Eva.

This means that, if Eva is x years, then Ana would be (x-12) years old

Now, within 7 years Eva’s age is twice that of Ana

Mathematically, that means when we add 7 years to each of their ages, we have the result as in the statement above.

Thus;

x + 7 = 2(x -12+ 7)

x + 7 = 2(x-5)

x + 7 = 2x -10

2x-x= 10 + 7

x = 17 years

Accordingly the answer is Nineteen Fourths.

The composition RoS = {(1, x), (1, y), (4, x), (5, x), (5, y), (2, z), (3, z), (3, d)} of two relations R and S is formed by finding each ordered pair (a, c) such that there is an element b in the codomain of S for which (a, b) is in S and (b, c) is in R.

In order to find the composition RoS of two relations R and S, the following steps are to be followed:
Step 1: Determine if R and S are compatible. If they are not compatible, then the composition RoS cannot be formed.
Step 2: Find each ordered pair (a, c) such that there is an element b in the codomain of S for which (a, b) is in S and (b, c) is in R. The ordered pairs (a, c) found in this step are the ordered pairs in the composition RoS.
Given that S = {(1, a), (4. a), (5, b), (2, c), (3, c), (3, d)} and R = {(a, x), (a, y), (b, x), (c, z), (d, z)}.
The set of compatible ordered pairs in S and R is S ∩ R = {(a, x), (a, y), (b, x), (c, z), (d, z)}. To find the composition RoS, we need to find each ordered pair (a, c) such that there is an element b in the codomain of S for which (a, b) is in S and (b, c) is in R. Therefore, RoS = {(1, x), (1, y), (4, x), (5, x), (5, y), (2, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z), (3, z)}.
Hence, the composition RoS is given by { (1, x), (1, y), (4, x), (5, x), (5, y), (2, z), (3, z), (3, d)}.

Learn more about the ordered pair here:

https://brainly.com/question/30328007

#SPJ11

Step-by-step explanation:

\(area \: ofa \: circle = \pi {r}^{2} \)

\(\pi {r}^{2} = \frac{22}{7} \times {r}^{2} \\ 153.86 = \frac{22}{7 } \times {r}^{2} \: \: \: \: \: \: \\ {r}^{2} = \frac{153.86 \times 7}{22} \\ {r}^{2} = \frac{1,077.02}{22}\\ r = \sqrt{48.95} \\ = 6.99\)

So let's take r as 7

\(circumference \: of \: a \: circle = 2\pi r\)

\(2\pi r = 2 \times \frac{22}{7} \)

= 2× 22/7 × 7

= 44

Step-by-step explanation:

x+2y=4

x-2y=12

______ ( add both equation)

2x = 16

x= 16/2

x= 8

Hope it helps ya

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

To know more about summarizing visit:

https://brainly.com/question/20058250

#SPJ11

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ12

Answer:

y=-2x-1

Step-by-step explanation:

First we need to know the slope-intercept equation:

y=mx+b

m: slope

b: y-intercept

First we find the slope:

Slope = (y₂-y₁)/(x₂-x₁)

Use any two x and y values on the table:

Slope = [-5-(-3)]/(2-1) = -2/1 = -2

Now we find the y-intercept:

y=mx+b

y=-2x+b

We plug in a pair of x and y values into the equation:

-3=-2(1)+b

-3=-2+b

b=-1

So the slope-intercept equation is:

y=-2x-1

Answer:

y=-2x+(-1)

Step-by-step explanation:

We first need to take two points from the graph. This will allow us to find the slope. Let us take the coordinates: (2,-5) and (1,-3). In order to find the slope using two coordinates, we need to use the following formula:

y^2/x^2 - y^1/x^1

The 2 and 1 are the two coordinates we picked. It is y^2/x^2 because in order to find the slope, you need to put the coordinates in rise/run form. Rise is the y-axis and run is the x-axis. Plug the numbers into the formula:

-5/2 - -3/1

-5-(-3)= -2

2-1=1

-2/1

This will result in the fraction -2/1 or -2. This is our slope. To find the y-intercept, we need to use the following formula (M is the slope):

y=mx

Plug the slope and one x-coordinate. I am going to use coordinate (1,-3):

-2=-2(1)

Use the y-coordinate from the x-coordinate we used above. The -2 in this equation is the product of -2(1). We will be finding the y-intercept using this formula (B is the y-intercept):

-3=-2+b

b= -1

So, our equation is y=-2x+(-1). Sorry for the really long explanation for I tried to make it easy to understand.

to achieve the same overall speedup, approximately 66.67% (two-thirds) of all dynamically executed instructions should be optimized using enhancement Y.

Let's denote the fraction of dynamically executed instructions optimized using enhancement Y as "p." Since enhancement Y makes the optimized instructions only 75% faster, the remaining fraction of instructions (1-p) will not be optimized and will maintain their original speed.

To achieve the same overall speedup, we need to equate the performance improvement gained from enhancement X and enhancement Y.

For enhancement X, 50% of the instructions are optimized and made three times faster, resulting in an overall speedup of 1.5 (3/2).

For enhancement Y, a fraction "p" of the instructions is optimized and made 75% faster, while the remaining fraction (1-p) remains the same. This results in an overall speedup of (1-p) + 0.75p = 1 - 0.25p + 0.75p = 1 + 0.5p.

To achieve the same overall speedup as enhancement X, we set up the equation:

1.5 = 1 + 0.5p

Solving for "p," we find:

0.5p = 0.5

p = 1/2

Therefore, to achieve the same overall speedup, approximately 66.67% (two-thirds) of all dynamically executed instructions should be optimized using enhancement Y.

learn more about enhancement here:

https://brainly.com/question/2691054

#SPJ11

Answer:

b

Step-by-step explanation:

end of life

edge 2020

Answer:

b

Step-by-step explanation:

The projection of vector v onto vector w is 〈7/8, -21/4〉. To find the projection of vector v onto vector w, we can use the formula for vector projection. Let's break it down into two steps.

Step 1: Calculate the dot product of v and w.

The dot product of two vectors is found by multiplying their corresponding components and then adding the products together. In this case, we have:

v · w = (2)(-1/4) + (-2)(3/2) = -1/2 - 3 = -7/2

Step 2: Calculate the length of vector w squared.

To find the length of vector w squared, we square each component and then add them together. In this case, we have:

||w||^2 = (-1/4)^2 + (3/2)^2 = 1/16 + 9/4 = 37/16

Now, we can calculate the projection of vector v onto vector w using the formula:

proj_w(v) = (v · w) / ||w||^2 * w

Substituting the known values, we have:

proj_w(v) = (-7/2) / (37/16) * 〈-1/4, 3/2〉

To simplify, we can multiply the scalar (-7/2) / (37/16) with each component of vector w:

proj_w(v) = 〈(-7/2) * (-1/4), (-7/2) * (3/2)〉

Simplifying further, we get:

proj_w(v) = 〈7/8, -21/4〉

Therefore, the projection of vector v onto vector w is 〈7/8, -21/4〉.

To learn more about vector projection click here:

brainly.com/question/30640982

#SPJ11

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

The correct answer is polygon has rotated 42° after 7 minutes.

To understand how much the polygon has rotated after 7 minutes, we can break it down into smaller increments.

Since the clock has 60 sides, each minute corresponds to a rotation of 360°/60 = 6°. Therefore, after 1 minute, the polygon rotates by 6°.

After 7 minutes, the polygon would have rotated by 7 * 6° = 42°. This is because each minute adds an additional 6° of rotation.

Hence, after 7 minutes, the polygon has rotated 42°. This means that it has moved 42° clockwise or counterclockwise from its starting position.

Learn more about clock here:

https://brainly.com/question/24051741

#SPJ8

Answer:

42°

Step-by-step explanation:

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

Learn more about domain of function here: https://brainly.com/question/28934802

#SPJ1

Answer:

-63 gallons

Step-by-step explanation:

You don't know the original water amount, but it is asking for the change or the difference in the water volume so it doesn't even matter.

Since 7 gallons leak every hour and it is over 9 hours, you can multiply 9 by 7 to get 63 gallons.

4x−14=−y equation 1

3x−y=0 equation 2

Multiply equ 1 with -1

14-4x=y

Subsitute equ 1 in 2

3x-(14-4x)=0

3x-14+4x =0

7x-14=0

7x=14

X=2

3x-y=0

3(2)-y=0

6-y=0

Y=6

(2,6)

Answer:

(2,6)

Step-by-step explanation:

Answer:

Part A: f(4) = 2

Part B: k = -7

Step-by-step explanation:

f(4) simply means what the y-value of the graph is when x = 4.

The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.

Part B asks to solve the equation: f(4) + k = -5

We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):

2 + k = - 5

Substract 2 from both sides:

k = -7

Answer:

80% of HCl used is 0.75 of a liter

40% or HCl used is 0.25 of a liter.

Step-by-step explanation:

Comment

You need a total of 1 liter which has a concentration of 70%.

Let x be the concentration of the 80%  HCl

Let 1-x be the concentration of the 40% HCl

Solution

(1 - x)*40/100 + x*80/100 = 70/100 * 1           Multiply by 100

40*(1-x) + 80x = 70                                         Remove the brackets (left)

40 - 40x + 80x = 70                                       Combine

40 + 40x = 70                                                 Subtract 40  from both sides

40-40 + 40x = 70 - 40                                    Combine

40x = 30                                                          Divide by 30

x = 30/40

Answer

x = 0.75 of a liter

1-x = 0.25 of a liter.

Answer:

0.875

Step-by-step explanation:

All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

To learn more about limit visit:

https://brainly.com/question/7446469

#SPJ1

The definite integral ∫[0 to 3] (x^(-1/2)) dx evaluates to 2√3. This means that the area under the curve of the function x^(-1/2) from x = 0 to x = 3 is equal to 2√3.

To evaluate the definite integral ∫[0 to 3] (x^(-1/2)) dx, we can apply the power rule for integration, which states that the integral of x^n dx, where n is not equal to -1, is (x^(n+1))/(n+1) + C.

Using the power rule, we can integrate x^(-1/2) as follows:

∫(x^(-1/2)) dx = ∫(1/sqrt(x)) dx

To evaluate the definite integral, we substitute the upper and lower limits of integration into the antiderivative expression and find the difference between the two:

∫[0 to 3] (1/sqrt(x)) dx = [(2√x) | from 0 to 3]

Now we evaluate the antiderivative at the upper and lower limits:

[(2√3) - (2√0)]

√0 is equal to 0, so the second term in the above expression is zero:

[(2√3) - (2√0)] = (2√3)

Therefore, the value of the definite integral ∫[0 to 3] (x^(-1/2)) dx is 2√3.

To know more about integration refer here:

https://brainly.com/question/31744185#

#SPJ11

Both the equations are plotted on the graph and they intersect each other on (2, 4).

So, graph the equation as follows:

So plot as:

Therefore, both the equations are plotted on the graph and they intersect each other on (2, 4).

Know more about equations here:

https://brainly.com/question/28937794

#SPJ1

When comparing the means of samples from two normally distributed populations, with independent samples and known population variances, a z-test can be used.

The z-test is a statistical test used to compare means when certain assumptions are met. In this case, the populations from which the samples are drawn are assumed to be normally distributed. The samples being compared should be independent of each other, meaning that the values in one sample are not related to or influenced by the values in the other sample. Additionally, it is assumed that the population variances are known, which is not always the case in practice.

The z-test relies on the calculation of a test statistic called the z-score, which measures the difference between the sample means in terms of standard deviations. The z-score is calculated by subtracting the mean of one sample from the mean of the other sample, and then dividing by the standard deviation of the sampling distribution of the difference in means. The resulting z-score is compared to a critical value from the standard normal distribution to determine the statistical significance of the difference between the means.

If the absolute value of the z-score exceeds the critical value, it indicates that the difference between the sample means is statistically significant, suggesting that the population means are likely to be different. On the other hand, if the z-score is not statistically significant, it suggests that the difference between the sample means may be due to chance, and there is not enough evidence to conclude that the population means are different.

Overall, when comparing the means of samples from normally distributed populations with known variances and independent samples, a z-test provides a way to assess the statistical significance of the difference between the means.

Learn more about z-test here:

https://brainly.com/question/30109604

#SPJ11

Answer:

y = 3x + 1

Step-by-step explanation:

Slope-intercept form is y = mx + b.

To find the slope (m), you use the equation (y1-y2)/(x1-x2). Plug in your points (-2, -5) and (2, 7) to get (-5 - 7)/(-2 - 2). Simplify the formula to get a slope of 3. This is your variable m.

To get the entire equation, finding b in the process, you use the formula y - y1 = m(x - x1). Replace m with 3. Using the point (-2, -5), replace it with (x1, y1) respectively to get y + 5 = 3(x + 2). Distribute to get y + 5 = 3x + 6. Isolate the y to get your final answer: y = 3x + 1.