What is the equivalent expression for 8w - 16?

In terms of l?

TSA

LSA

Answer:

\(\sf SA=54\pi\:\:\:cm^2\)

Step-by-step explanation:

Surface Area of a Cone

\(\sf SA=\pi r l+\pi r^2\)

where:

Given:

Substitute the given values into the formula and solve for SA:

\(\implies \sf SA=\pi (3)(15)+\pi (3)^2\)

\(\implies \sf SA=45\pi+ 9 \pi\)

\(\implies \sf SA=54\pi\:\:cm^2\)

Therefore, the surface area of the cone in terms of pi is:

\(\sf SA=54 \pi\:\:\:cm^2\)

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

Step-by-step explanation:

0.55, 0.0497.

You can follow these steps:

1. Find the Length scale factor. Knowing the heights of the triangles, you can divide the height of the larger triangle by the height of the smaller triangle:

2. Find the Area scale factor

The function f(x) is the sloping trail, it is the ratio of the change in the trail's height over the change in the trail's length.

It is the same as the rate of change of an evaluation of the trail, which is the derivative of a function that gives us the elevation. Thus, for a function F(x) that gives us the elevation, f(x)=F(x).

When we integrate a derivative, we can form a rate of change to total change. Thus integrating f(x) over an interval then the total change in elevation within that interval.

In this case, we will have to solve the integral:

\(\int\limits^9_7 {f(x)} \, dx\)

The bounds of integration are 7 to 9, so this calculates the total change in elevation between 7 to 9, which is the total change in the elevation in the first seven miles of the trail.

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Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = \(2\pi r\)

Plug 35 in for r (radius) and solve.

C = \((35) 2\pi\\\\C = 70\pi\\\\C = 219.9\)

So, approximately 219.9 \(in^2\) is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

x = -2 ,  y = 2

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

Given points are (4,0) and (0,3)

The distance between these two points =√(0-4)^2+(3-0)^2

=√16+9

=√25

=5 units

Answer:

(4,0) = (\(x_{1}\),\(y_{1}\))

(0,3)=(\(x_{2} ,y_{2}\))

distance between the points = \(\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_2 )^2 }\)

distance=5

Step-by-step explanation:

should be roughly 8 cycles. you cnat tell exactly bc we font have how often the interest is applied

Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

Answer:

The precipitation for both March and April was 8 7/8 inches below average

Step-by step explanation;

For the month of march, precipitation was 6 1/2 inches less than average

For the month of April, precipitation was 2 3/8 inches left.

Now we want to calculate how many inches less than average was precipitation in both wants

What we simply do here is to add the inches with which they were both left than average in both months

That would be;

6 1/2 + 2 3/8

= 13/2 + 19/8 = (52 + 19)/8 = 71/8 = 8 7/8 inches

Using the exponential distribution formula:

(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704

(b) The 40th percentile is 29.15 minutes

a) Using the exponential distribution formula:

P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935

P(X > 15) = \(e^{(-15/20)}\) = 0.2231

P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704

b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:

0.40 = 1 - \(e^{(-x/20)}\)

Solving for x:

\(e^{(-x/20)}\)= 0.60

-x/20 = ln(0.60)

x = -20 ln(0.60) = 29.15

Therefore, the 40th percentile is 29.15 minutes.

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Answer:

y = 110

z = 70

Step-by-step explanation:

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The least sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 5 minutes will be 416.16.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end. Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central location, with values decreasing as one moves out from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same. The normal distribution, like any other probability distribution, defines how the values of a variable are distributed. Because it properly captures the distribution of values for many natural occurrences, it is the most important probability distribution in statistics.

Here,

The z value at the 90 percent confidence interval is 1.645.

t ≥ z*s/√n

5≥1.645*62/√n

√n≥20.398

√n≥20.4

n≥416.16

The smallest sample size required to ensure that the sample mean does not deviate from the population mean by more than 5 minutes with 90% confidence is 416.16.

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By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

The complete question is given below:-

Tan x degrees = 5. find the value of x to the nearest tenth

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

tan x = 5

x = atan 5

x ≈ 78.7°

By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

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The coefficients a and b for the linear function are given by:

a = -2, b = 5.

A linear function is modeled by:

y = ax + b

In which:

Given two points, the slope is given by change in y divided by change in x, hence, for points AB:

a = (-1 - 7)/(3 - (-1)) = -8/4 = -2.

Hence:

y = -2x + b.

When x = -1, y = 7, hence the value of b is found as follows:

7 = -2(-1) + b

b = 5.

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Answer:

i dont even have the first one on my computer

Step-by-step explanation:

Answer:

There are 10 spelling questions and 5 vocab questions

Step-by-step explanation:

5 questions total

Total number of points: 100

Spelling questions are worth 5 and represented by x

Vocab questions are worth 10 and represented by y

Therefore:x+y=15

5x + 10y= 100

So: x+y=15

x = 15-y

5x +10y =100

5(15 -y) +10y =100

75 -5y +10y =100

75 +5y = 100

5y=25

y=5

x +y=15

x+5=15

x=10

Answer:

96

Step-by-step explanation:

20 percent of 80 is 16, and added to 80 would equal 96

Answer:

a=10.5

a=A=112≈10.58301in

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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Answer: 89 cm^2/minute

Step-by-step explanation:

Initial Area:                11 x 5 = 55 cm^2

Area after 1 minute:  18 x 8 = 144 cm^2

The area of the triangle is increasing by

All angles in a triangle must add up to 180 degrees. The missing angle in the triangle is 34 degrees. We can then subtract 34 from 180 to find x because a straight line is 180 degrees. 180 - 34 = 146. x = 146 degrees.

the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

D. 1 cup

Half of 2/3 is 1/3 and 2/3 + 1/3 is 3/3 which is equal to 1 cup

hope this helps :)

The area of the region common to both circles is -6.67 square units

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

\(A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\\)

\(A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\\)

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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Answer:

f(x)=x-2

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}

Range: (−∞,∞),{y|y∈R}

g(x)=x^2-3x+2

Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}

Range: [−1/4,∞),{y∣y≥−1/4}