Write each expression as a difference.
a+5

Answer:

yeah its 93 after being rounded

Step-by-step explanation:

already did it and commented i was just wondering what else there was cause it seemed like there was more.

The volume of cylinder = 15,869.56 mm.

The formula for determining a cylinder's volume is the base area times the height. Volume of a cylinder is r2h cubic units.

To calculate a box's volume, you need to know its height, width, and depth. The volume can be calculated by multiplying these three dimensions.

Assume for the moment that the spherical discs are stacked h levels high. The volume of the cylinder will now be calculated by multiplying the discs' base areas by their heights, "h". Therefore, r2h is used to represent the volume of a cylinder with base radius r and height h. The amount of material required to fill an object can be calculated using the volume of the object.

We know that the volume of cylinder = πr²h

Given,

height = 14 mm

radius = 19 mm

V = π × 19 × 19 × 14

⇒  V = 15,869.56 mm

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Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: \(x=\frac{-b}{2*a}\). The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

\(t=\frac{44.1}{2*(-4.9)}\)

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

Answer:

88 Flowers

Step-by-step explanation:

Answer:

10 & one half

Step-by-step explanation:

Answer:

10 and 1/2

Step-by-step explanation:

Section A has a rate of change(speed) of 7.5 miles per hour

Speed is defined as the change in distance over the change in time Mathematically, speed is the distance covered divided by the time taken:

speed(s) = distance(d)/time(t)

Considering the graph, we are interested in section A:

Looking at the distance axis section A covers a distance of 30 miles

Also in the time axis for section A the time taken is 4 hours

Thus speed(s) = 30/4 = 7.5 miles per hour

Therefore, the rate of change (speed) of section A  is 7.5 miles per hour

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The simplified expression with only positive exponents is 729 / 19^7.

We can simplify the expression as follows, using the exponent rules:

19 to the -3rd power = 1 / (19^3)

19×19 to the -4th power = (19^2)^-2 = 1 / (19^2)^2 = 1 / (19^4)

nine to the third power = 9^3

Therefore, the expression can be written as:

(1 / (19^3)) × (1 / (19^4)) × (9^3)

To simplify further, we can combine the two terms with powers of 19 into a single term:

(1 / (19^3 × 19^4)) × (9^3) = (1 / 19^7) × (9^3)

Finally, we can evaluate 9^3 to get the final answer:

(1 / 19^7) × (9^3) = (1 / 19^7) × 729 = 729 / 19^7

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The given question is incomplete, the complete question is:

19 to the -3rd power times 19×19 to the -4th power times nine to the third power. Simplify the expression using only positive exponents

To serve 24 people with turkey, carter need to spend around 18 pounds for it  when he needs to pay three quarter for each.

Carter need to serve turkey for a total of 24 members. He wants to provide three quarter of a pound of turkey for each person.

Now, we need to calculate for total members attending the event.

Calculation for total amount of turkey = Total members * Amount for each person the to be  needed

Total amount of turkey = Members x Amount per person

Total amount of turkey = 24*(3/4)

Total amount of turkey= 6*3

Total amount of turkey=18

Therefore, 18 pounds of Total amount of turkey is needed to serve the total number of 24 people. In that way carter can have enough turkey to feed every one in the group who are attending the event.

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The required graph has been attached below which represents the cube root function f(x) = ³√x.

The cube root function is given in the question, as follows:

f(x) = ³√x

We have to determine the graph of the given function.

The domain of the square root parent function is x ≥ 0 as the square root of only non-negative values exists and that of negative values does not exist, while the domain of the cube root parent function is the set of all real numbers as the cube root of all numbers exists.

Thus, the required graph has been attached below which illustrates the cube root function f(x) = ³√x.

Hence, the correct answer would be an option (B).

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The amount to be invested​ now, or the present value​ needed, is $22873.75

We solve the problem using the compound interest formula for amount

A = P(1 + r)ⁿ where

Making P subject of the formula, we have

P = A/(1 + r)ⁿ

Given that

Substituting the values of the variables into the equation, we have

P = A/(1 + r)ⁿ

P = 50000/(1 + 0.07)¹⁴

P = 50000/(1.07)¹⁴

P = 50000/1.7317

P = 22873.75

So, the amount to be invested​ now, or the present value​ needed, is $22873.75

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Answer:

39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

The angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

Given,

∠AGB and ∠EGD

We need to find what types of angles are ∠AGB and ∠EGD.

Vertical angles are angles that are opposite of each other when two lines cross.

Vertical angles are always equal.

We have,

∠AGB and ∠EGD are vertical angles

∠AGB = 30 = ∠EGD

∠CGD and ∠AGF are vertical angles.

∠CGD = 50 = ∠AGF

∠BGC and ∠FGE are vertical angles.

∠BGC = ∠FGE = 2x

We know that,

A straight angle is 180.

∠FGC =180

∠FGC = ∠AGF + ∠AGB + ∠BGC

180 = 50 + 30 + ∠BGC

180 - 50 - 30 = ∠BGC

180 - 80 = ∠BGC

∠BGC = 100

∠FGE = 100

We also see that,

∠FGC = ∠FGE + ∠EGD + ∠CGD

180 =  100 + ∠EGD + 50

180 - 150 = ∠EGD

∠EGD = 30

We see that,

∠EGD = 30°

∠AGB = 30°

Thus, the angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

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The exact value of the expression \(tan[cos^{-1}\frac 45) + sin^{-1}(1)]\) is \(\sqrt{3}/4\). This can be obtained by evaluating the trigonometric functions and applying the Pythagorean theorem to determine the lengths of the sides of a right triangle.

To find the exact value, we can use the properties of trigonometric functions and the Pythagorean identity. First, let's consider the expression inside the tangent function: \(cos^{-1}(4/5) + sin^{-1}(1)\).

Using the inverse cosine function, \(cos^{-1}(4/5)\), we find that it represents an angle whose cosine is 4/5. This means the adjacent side of a right triangle is 4 and the hypotenuse is 5.

Next, using the inverse sine function, \(sin^{-1}(1)\), we find that it represents an angle whose sine is 1. This implies the opposite side of a right triangle is 1 and the hypotenuse is also 1.

Now, we can construct a right triangle where the adjacent side is 4, the opposite side is 1, and the hypotenuse is 5. Applying the Pythagorean theorem, we find the length of the remaining side, which is the square root of \((5^2 - 1^2) = \sqrt{24}\).

Finally, we can calculate the tangent of the sum of these angles using the tangent identity. The tangent of the sum is equal to (opposite side)/(adjacent side). Plugging in the values, we have (1)/(4) = 1/4.

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The first six terms of the sequence defined by each of these recurrence relations and initial conditions are

a) -1, 2, -4, 8, -16, 32.

b) 2, -1, -3, -2, 1, 3.

c) 1, 3, 9, 27, 81, 243.

a) The first recurrence relation is given by an = -2an-1 with an initial condition of a0 = -1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial condition. Using the formula, we can find:

a1 = -2a0 = -2(-1) = 2

a2 = -2a1 = -2(2) = -4

a3 = -2a2 = -2(-4) = 8

a4 = -2a3 = -2(8) = -16

a5 = -2a4 = -2(-16) = 32

a6 = -2a5 = -2(32) = -64

Therefore, the first six terms of the sequence defined by an = -2an-1 with a0 = -1 are: -1, 2, -4, 8, -16, 32.

b) The second recurrence relation is given by an = an-1 - an-2 with initial conditions a0 = 2 and a1 = -1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial conditions. Using the formula, we can find:

a2 = a1 - a0 = -1 - 2 = -3

a3 = a2 - a1 = -3 - (-1) = -2

a4 = a3 - a2 = -2 - (-3) = 1

a5 = a4 - a3 = 1 - (-2) = 3

a6 = a5 - a4 = 3 - 1 = 2

Therefore, the first six terms of the sequence defined by an = an-1 - an-2 with a0 = 2 and a1 = -1 are: 2, -1, -3, -2, 1, 3.

c) The third recurrence relation is given by an = 3a2n-1 with an initial condition of a0 = 1. To find the first six terms of this sequence, we need to use the recurrence relation to generate each term, starting with the initial condition. Using the formula, we can find:

a1 = 3a0 = 3(1) = 3

a2 = 3a3 = 3(3) = 9

a3 = 3a2 = 3(9) = 27

a4 = 3a7 = 3(27) = 81

a5 = 3a14 = 3(81) = 243

a6 = 3a29 = 3(243) = 729

Therefore, the first six terms of the sequence defined by an = 3a2n-1 with a0 = 1 are: 1, 3, 9, 27, 81, 243.

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By using the concept of statistics mean of sample distribution is 260 and standard deviation is 4

The practice or science of collecting and analysing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample. is called as statistics.

More Importantly ,Statistics is used to do calculations of huge data distributed in some ways.

We have mean of infinite population. Mean of random sample will be also 260.

Now talking about standard error of the mean ,

we know very well that standard error of mean=standard deviation/\(\sqrt{x}\)

where x is size

We know that sample size is 16

Therefore standard error of mean is =16/\(\sqrt{16}\)=16/4=4

Hence mean of random sample is 260 and standard error of mean is 4

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The probability that less than 2 people will return the purchased items on the web be, 0.52822

Given, a research claims that 30% of people, who purchase items on the web of a specific store, return it.

Now, if we pick 5 people who purchase via the web,

then we have to find the probability that less than 2 will return their purchase

we have to find, P(X < 2)

Now, n = 5

p = 0.3

q = 0.7

P(X < 2) = P(X = 0) + P(X = 1)

P(X < 2) = C(5 , 0)(0.3)^0(0.7)^5 + C(5 , 1)(0.3)^1(0.7)^4

P(X < 2) = (0.16807) + (0.2401)(0.3)(5)

P(X < 2) = 0.16807 + 0.6015

P(X < 2) =  0.52822

So, the probability that less than 2 will return be, 0.52822

Hence, the probability that less than 2 will return be, 0.52822

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Given the points ( -7 , 4 ) and (-7 , -3 )

The slope of the line passing through the given points is calculated as following :

So, the slope of the line = 0

which mean the line will be parallel to the x- axis

Final Answer:

In-depth explanation:

Hi! The question is asking us to find the slope of the line, given that it passes through the points (-7,4) and (-7,3).

To find the slope, I use the Slope Formula:

\(\Large\boxed{\boxed{\mathbf{m=\dfrac{y_2-y_1}{x_2-x_1}}}}\)

Plug in the data:

\(\bf{m=\dfrac{-3-4}{-7-(-7)}=\dfrac{-7}{-7+7}}=\dfrac{-7}{0}}\)

\(\bf{m=not\:de fined}\)

\(\rule{350}{1}\)

Now let's find the slope between the second pair of points.

The points are: (-7,-7) and (4,-7), so let's go ahead and plug them in:

\(\bf{m=\dfrac{-7-(-7)}{4-(-7)}=\dfrac{-7+7}{4+7}}=\dfrac{0}{11}}\)

\(\large\textbf{Slope = 0}\)

9514 1404 393

Answer:

  68.6 square units

Step-by-step explanation:

The relevant area formulas are ...

  A = LW . . . . rectangle of length L and width W

  A = (π/4)d² . . . . . circle of diameter d

__

You have a rectangle of dimensions 4 by 14, and a circle of diameter 4. The total area is ...

  A = (4×14) +(π/4)(4²) = 4(14+π) ≈ 68.6 . . . . square units

Evaluating Georgianna's claim using a hypothesis test.The claim is that the average child takes less than 5 years of piano lessons. Therefore, we use a one-tailed hypothesis test with a null hypothesis asH0: µ ≥ 5 versus the alternative hypothesis Ha: µ < 5.

Level of significance is not given, hence we can assume it to be 0.05. Calculating the test statistic as follows:$$t=\frac{\overline{x}-\mu }{s/\sqrt{n}}$$Substituting the given values in the above equation, we get$$t=\frac{4.6-5}{2.2/\sqrt{20}}$$So, t = -1.69, for a one-tailed test (left-tailed) and the degrees of freedom are n-1 = 19. Using the t-distribution table with α = 0.05 and 19 degrees of freedom, the critical value is -1.73, hence, -1.69 falls within the non-rejection region. Therefore, we cannot reject the null hypothesis. There is not enough evidence to support Georgianna's claim.b. Constructing a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in the context of the data.

The formula for confidence interval for a population mean is Interpretation: We can be 95% confident that the average number of years students in this city take piano lessons falls between 4.01 and 5.19 years.c. Explaining if the results from the hypothesis test and the confidence interval agreeYes, the results from the hypothesis test and the confidence interval agree because we cannot reject the null hypothesis in the hypothesis test. This means that the null hypothesis, H0: µ ≥ 5 is plausible. Further, the 95% confidence interval for the mean number of years students take piano lessons lies completely above the value of 5 years, which is Georgianna's claim. This is in line with the hypothesis test result. Thus, we can conclude that there is no sufficient evidence to support Georgianna's claim.

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9 students made at least 3 picture frames.

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

The plot shows picture frames made by students last week.

Number of Frames     Number of students

              0                               6

              1                                4

              2                               1

              3                               2

              4                               7

So, the students made at least 3 picture frames

= 2+ 7

= 9

Hence, 9 students made at least 3 picture frames.

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The maple syrup level is increasing at a rate of approximately 0.0191 feet per minute when the syrup is 5 feet deep.

To find the rate at which the maple syrup level is increasing, we can use the concept of related rates.

Let's denote the depth of the syrup as h (in feet) and the radius of the syrup at that depth as r (in feet). We are given that the rate of change of volume is 6 cubic feet per minute.

We can use the formula for the volume of a cone to relate the variables h and r:

V = (1/3) * π * r^2 * h

Now, we can differentiate both sides of the equation with respect to time (t):

dV/dt = (1/3) * π * 2r * dr/dt * h + (1/3) * π * r^2 * dh/dt

We are interested in finding dh/dt, the rate at which the depth is changing when the syrup is 5 feet deep. At this depth, h = 5 feet.

We know that the radius of the cone is proportional to the depth, r = (20/30) * h = (2/3) * h.

Substituting these values into the equation and solving for dh/dt:

6 = (1/3) * π * 2[(2/3)h] * dr/dt * h + (1/3) * π * [(2/3)h]^2 * dh/dt

Simplifying the equation:

6 = (4/9) * π * h^2 * dr/dt + (4/9) * π * h^2 * dh/dt

Since we are interested in finding dh/dt, we can isolate that term:

6 - (4/9) * π * h^2 * dr/dt = (4/9) * π * h^2 * dh/dt

Now we can substitute the given values: h = 5 feet and dr/dt = 0 (since the radius remains constant).

6 - (4/9) * π * (5^2) * 0 = (4/9) * π * (5^2) * dh/dt

Simplifying further:

6 = 100π * dh/dt

Finally, solving for dh/dt:

dh/dt = 6 / (100π) = 0.0191 feet per minute

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Answer:

12; 3/28; 2

Step-by-step explanation:

a. 4➗1/3=4*3=12

b.3/8➗7/2=3/8*2/7=3/28

c.Primitive formula=7/2*4/7=2

16.8 = 2.4 e

=> e = 16.8/2.4

=> e = 168/24

=> e = 7

Hence, E equal to 7

Answer:

e = 7

Step-by-step explanation:

2.4e is the same as \(2.4*e\), so you simply undo the equation.

\(16.8=2.4*e\)

divide by 2.4 on both sides to isolate the variable.

\(16.8/2.4 = (2.4 *e)/2.4\)

\(7 = e\)

By applying logarithmic differentiation to the equation

\(x^2 + (y - ∛(x^2))^2 = 1\), we can find the derivative of y with respect to x. The derivative is given by \(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2)\).

To use logarithmic differentiation, we start by taking the natural logarithm of both sides of the equation: \(ln(x^2 + (y - ∛(x^2))^2) = ln(1).\) Applying the logarithmic property, we can rewrite the equation as

\(ln(x^2) + ln((y - ∛(x^2))^2) = 0.\)

Next, we differentiate both sides of the equation with respect to x. Using the chain rule and the fact that the derivative of ln(u) is du/u, we obtain:

\((2x/x^2) + (2(y - ∛(x^2))/ (y - ∛(x^2))) * (1/2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Simplifying the equation, we have

\(2/x + (2(y - ∛(x^2))) / (2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Canceling out common factors, we get:

\(2/x + d(y - ∛(x^2))/dx = 0\).

Rearranging the equation to solve for

\(d(y - ∛(x^2))/dx\), we have\(d(y - ∛(x^2))/dx = -2/x.\)

Finally, using the power rule for differentiation, we can express the derivative of y with respect to x as

\(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2).\)

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Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

Sorry I dont have time :(

Step-by-step explanation:

i don't know if this will help but, here

The given sequence is 3, 9, 27, ..... In order to find the sum of the first 5th terms, we need to find the common ratio of the sequence. Using this we can easily find the value of the 5th term and then calculate the sum of the first 5th terms.

The common ratio is calculated by dividing any term in the sequence by its preceding term. Let's divide the 2nd term by the first term to find the common ratio.\[\frac{9}{3}=3\]So, the common ratio of the sequence is 3.

Now, we can find the 5th term of the sequence by multiplying the 4th term by the common ratio.

\(\[a_5=a_4\times r= 81\times 3=243\].\)

Therefore, the 5th term is 243.The sum of n terms of a geometric sequence can be found by using the formula below.

\(\[S_n=\frac{a_1(r^n-1)}{r-1}\].\)

Here, a1 is the first term of the sequence and r is the common ratio. We need to calculate the sum of the first 5 terms. So, n = 5. Substituting the values in the formula,

we get:

\(_5=\frac{3(3^5-1)}{3-1}= \frac{3(243-1)}{2}= \frac{3(242)}{2}=363.\)

Hence, the sum of the first 5th terms is 363.

Here we are given a geometric sequence, in order to find the sum of the first 5th terms, we first need to find the common ratio of the sequence. Once we have found the common ratio, we can easily calculate the 5th term of the sequence and then use the formula for the sum of n terms of a geometric sequence to calculate the sum of the first 5th terms.

We get the common ratio of the sequence by dividing any term in the sequence by its preceding term. In this case, we divided the 2nd term by the 1st term, which gave us a common ratio of 3. Now, we can find the 5th term of the sequence by multiplying the 4th term by the common ratio.

The 5th term is 243. Finally, substituting the values in the formula for the sum of n terms of a geometric sequence, we get the sum of the first 5th terms as 363.

Therefore, the correct option is B) 363.

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Answer:

Step-by-step explanation:

Area of shaded region= area of rectangle- area of triangle

Area of rectangle= l×b

                            =9×3

                            = 27m²

Area of triangle= \(\frac{1}{2}\) b×h

                        =\(\frac{1}{2}\) ×3×3

                        =\(\frac{9}{2}\) ⇒4.5

Area of shaded region= area of rectangle- area of triangle

                                     =27-4.5

                                     =22.5m²

The probability sum of the dice is 2/11.

Let A be the event that the sum of dots is 5, then

A={(1,4), (2,3), (3,2), (4,1)}

n(A)=4

And, B is the event that one die shows a "one"

B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}

n(B)=11

The Event that some of the dots are five and one of the die shows "one".

A intersection B = {(1,4), (4,1)}

Since n(A) = 36 (thirty-six possible samples of two dice)

P(A)=4/36

P(B)=11/36

P(A intersection B)=2/36

So, the required probability is

P(A|B)=P(A intersection B)/P(B) =2/11

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