Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.

The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°

The conventional analogue wall clock is numbered 1 to 12.

On this note, there are 12 unit subdivisions on the clock.

Each unit subdivision covers angle measure;

Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;

It follows that the degree measure of the angle subtended is; 30°.

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Answer:

b = 3

Step-by-step explanation:

2b + 5b - 7 = 14

7b - 7 = 14 ( add 7 to both sides )

7b = 21 ( divide both sides by 7 )

b = 3

the value from the replacement set is 3

The procedure that should be conducted to directly address this research question is the one sample proportion z test. This is because the research question is about the proportion of ring-tailed lemurs that are left hand dominant, which is a categorical variable. The sample size is greater than 30, so the central limit theorem can be applied and the distribution of the sample proportion can be assumed to be approximately normal. Therefore, a one sample proportion z test can be used to test whether the proportion of left hand dominant ring-tailed lemurs is greater than 0.5.

The one sample proportion z test is a statistical test used to determine whether a sample proportion is significantly different from a hypothesized population proportion. This test requires a categorical variable and a sample size greater than 30 in order to apply the central limit theorem and assume normality of the distribution of the sample proportion. The test statistic is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing by the standard error of the sample proportion.

To directly address the research question of whether more than half of all ring-tailed lemurs are left hand dominant, a one sample proportion z test should be conducted. This test is appropriate for a categorical variable with a sample size greater than 30 and assumes normality of the distribution of the sample proportion. The test will determine whether the proportion of left hand dominant ring-tailed lemurs is significantly different from 0.5, which is the null hypothesis.

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Answer:

The answer is 0.132

Step-by-step explanation:

12/10*11/100

132/1000

=0.132

To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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536.2  cubic inches  is the volume of a cube with surface area of 396.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

\(A=6V^{\frac{2}{3}}\)

A is surface Area ‘A’, in square units, of a cube

V is  volume of cube in cubic units.

We need to find the volume, in cubic inches, of a cube with surface area of 396.

A=396

We need to find V

\(V^{\frac{2}{3} } =A/6\)

=396/6

=66

\(V=66^{\frac{3}{2} }\)

V=536.2  cubic inches

Hence, 536.2  cubic inches  is the volume of a cube with surface area of 396.

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\( Let \: \: \: \: us \: \: \: \: assume \\ \: \: \: \: the \: \: \: \: number \: \: \: \: as \: \: \: \: x. \\ so \: \: \: \: the \: \: \: \: expression \: \: \: \: \\ will \: \: \: \: be \: \: \: \: like \: \: \: \: this \\ x + 14\)

So, the answer is x+14

An integer's factors are other integers that, when multiplied, give the same result as the original integer. For instance, 33 and 55 are factors of 1515 since 35=1535=15. Knowing what a factor is, we frequently seek to identify an integer's "factorizations".

An integer is represented as the product of its factors in a factorization. The number 11 and the initial integer are always factors, as you can see. This is referred to as a "prime" or complete factorization of 88. The base number, in this case 22, is therefore prime. A prime integer is one with only itself and the number 11 as components. 11 is not a prime number by definition. Prime factors can be used to factor polynomials. Because the elements x+1x+1 and x+2x+2 are irreducible—they only have 11 and themselves as factors—the second factorization is known as the prime factorization. Similar to factoring integers into a product of integers, each smaller than the original, factoring polynomials aims to describe the original polynomial as a product of polynomials of lower degree.

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The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.

According to the question,

Radius of curvature : 19 cm

Size of image formed : 1.5cm

Distance of coin from glass shell : 6.5cm

The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;

1/d = 1/f - 1/d'

where;

d' is the position of the coin's image

d position of the coin

f is focal length

Focal length = r/2 =19/ 2 = 9.5 cm

=> 1/d = 1/9.5 - (-1/6.5)

=> 1/d = 1/9.5 + 1/6.5

=> 1/d = 0.1052 + 0.1538

=> 1/d = 0.259

=>d = 1/0.259

d = 3.86 cm

Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.

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342 hundreths+7 tenths is greater than 3+50hundreths.

In mathematics, a tenth is a particular region of something that will be evenly divided into one hundred parts. For instance, 6.75 is one hundredth of 675. In this context, the prefix "cent," as in centimeter, is utilized.

One hundred is equivalent to one tenth.

The common fraction is 1/100, but the decimal fraction for a hundredth is 0.01.

The ordinal number "hundredth" can also be written as "hundredth," and it comes before "hundred and first" and after "ninety-ninth."

Names are given for each multiply step for elevations of the binary coefficient of three that include both short and larger scale nomenclature, i.e. one for each integer n in the series of multipliers 103n. Both systems utilize the same names for some multipliers, such as those for all values smaller than 109.

Therefore 342 hundredths = 3.42

7 tenths = 0.7

342 hundreths+7 tenths = 3.42 +0.7 = 4.12

3+50hundreths = 3 +0.50 = 3.5

Hence 342 hundreths+7 tenths is greater than 3+50hundreths

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Answer:

D.

Step-by-step explanation:

6.52^2 = 42.3 according to the table so 6.5 should be a good estimate.

Answer:

v = √ar

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION;

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

the given formula is (a= v^2/ r) .....eqn(1)

Where

a=centripetal acceleration

r = object's distance

We were told to find velocity (v)

From eqn(1) we can cross multiply, then we have

a.r=v^2 ...................eqn(2)

Then we can make (v^2) the subject of the formula, we have

(v^2) = ar

We can make "v" subject of the formula, then we have

v = √ a*r

Answer:

r = v^2/a

Step-by-step explanation:

The value of x for the given equation is 16.

To find the value of x in the equation x + 10 = 26, we need to isolate x on one side of the equation by performing the same operation to both sides of the equation.

We can start by subtracting 10 from both sides of the equation:

x + 10 - 10 = 26 - 10

Simplifying the left-hand side gives:

x = 16

Therefore, the value of x is 16, as this is the solution that satisfies the equation x + 10 = 26.

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The complete question is below:

Find the value of x: for x +10 = 26

Answer:

im pretty sure its a 50% chance so 1/2

Step-by-step explanation:

Answer:

(a)

Step-by-step explanation:

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

well, we know is an EQUIlateral triangle, so all 3 sides are equal,  so hmmm we can just get the distance between those two vertices and triple it for its perimeter.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-8)]^2 + [7 - (-5)]^2}\implies d=\sqrt{(3+8)^2 + (7+5)^2} \\\\\\ d=\sqrt{265}\implies \stackrel{triple~that}{3\sqrt{265}} ~~ \approx ~~ 48.84\)

The answer to your question is that the radicals you are referring to is called the "substring" operator. It is used to determine whether one string is a substring of another string. The substring operator is represented by the symbol "in" in Python.

The substring operator checks whether a specific string is present within another string. If it is, then the operator returns True, and if not, then it returns False. This is a very useful operator when it comes to manipulating strings in Python.

A string is created in Python, it cannot be changed. Strings in Python are considered immutable, which means that any modifications to a string will result in the creation of a new string object. This is different from some other programming languages, where strings can be modified in place.

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Work factor is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Work factor refers to the estimate of the effort or time required by a potential perpetrator, with specified expertise and resources, to overcome a protective measure. In cryptography or cryptanalysis, a work factor refers to the amount of effort which is generally measured in units of time which is required to break down a cryptosystem. The work factor of a cryptosystem is linked to its key-length and the working mechanism used (encryption and decryption algorithms).

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Answer:

C) 115 degrees

Step-by-step explanation:

A line is 180 degrees.

This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.

The angle above that will be 115 and the other will be 65.

Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.

Answer:

The total cost of the shirt and Jean's together with a 15% discount would be $48.45.

Step-by-step explanation:

if you at 12 and 45 you get 57 now if you multiply that by .15 which would be 15% you would get $48.45.

Answer:

$48.45

Step-by-step explanation:

15% of $12= 1.80

15% of $45= 6.75

$12-$1.80= $10.2

$45- $6.75= $38.25

Now, add them both up:

$10.20+ $38.25= 48.45

Answer= $48.45

Hope it helps,

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The perpendicular line will have:

m = 2

b = -2.

Note that the slope of two lines that are perpendicular to each other will have a product of -1, or be negative reciprocals of each other.

First, find the slope of the line that passes through points A(-2, 4) and B(4, 1):

Slope (m) = change in y / change in x = 4 - 1 / -2 - 4 = 3/-6

m = -1/2.

The negative reciprocal of -1/2 is 2. So, the line that is perpendicular to AB will have a slope (m) = 2.

To find y-intercept (b) of the line, substitute (x, y) = (2, 2) and m = 2 into y = mx + b:

2 = 2(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

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Answer:

the correct graph is attached

Step-by-step explanation:

x ≥ 1 means there is a closed dot at 1

and -x + 8 means there should be an y intercept at 8 with negative slope

so it could've only been the right side graphs than the first function is positive so the top right cant be right meaning the bottom right is the correct graph

Answer:

3 packages

Step-by-step explanation:

61 - 20 * 2 (small grain sandpaper) = $21 remain. The largest grain costs $7, so 21/7 = 3 packages of the largest grain sandpaper was bought.

Hope this helped!

Answer:

b=3

Step-by-step explanation:

2b+4b=12

6b^2=12

6b^2 - 6 =12 - 6

b^2/2=6/2

b=3

Approximately 0.456 hours (or about 27.36 minutes) elapsed before the body was found.

To solve this problem, we can use Newton's Law of Cooling, which states that the rate of change of temperature of an object is proportional to the difference between its temperature and the surrounding temperature.

Let's denote T(t) as the core temperature of the body at time t, and T_s as the surrounding temperature (which is 70 F in this case).

According to the problem, at time t = 0, the core temperature of the body is T(0) = 98.6 F. One hour later, at t = 1, the core temperature is T(1) = 80 F.

Using Newton's Law of Cooling, we can set up the differential equation:

dT/dt = k(T - T_s)

where k is the proportionality constant.

Substituting the given values at t = 0 and t = 1, we can find the specific value of k.

At t = 0: dT/dt = k(98.6 - 70)

At t = 1: dT/dt = k(80 - 70)

Integrating both sides of the equation, we get:

∫ dT/(T - T_s) = ∫ k dt

Applying the natural logarithm, we have:

ln|T - T_s| = kt + C

Simplifying the equation, we get:

T - T_s = Ce^(kt)

Substituting the values at t = 0, we have:

98.6 - 70 = Ce^(k * 0)

Solving for C, we get:

C = 28.6

Now we can rewrite the equation as:

T - 70 = 28.6e^(kt)

At t = 1, we have:

80 - 70 = 28.6e^(k * 1)

Simplifying the equation, we get:

10 = 28.6e^k

Dividing both sides by 28.6, we have:

e^k = 10/28.6

Taking the natural logarithm of both sides, we get:

k = ln(10/28.6)

Now, we can use this value of k to determine how many hours elapsed before the body was found.

We want to find the value of t when T(t) = 85. Substituting this value into our equation, we have:

85 - 70 = 28.6e^(ln(10/28.6) * t)

15 = 28.6(10/28.6)^t

Dividing both sides by 28.6, we get:

15/28.6 = (10/28.6)^t

Taking the natural logarithm of both sides, we have:

ln(15/28.6) = t * ln(10/28.6)

Dividing both sides by ln(10/28.6), we can solve for t:

t = ln(15/28.6) / ln(10/28.6)

Calculating this expression, we find:

t ≈ 0.456 hours

Therefore, approximately 0.456 hours (or about 27.36 minutes) elapsed before the body was found.

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Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

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The volume of the simplex is 1^n. So , the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

In nn dimensions, the simplex is a geometric shape formed by connecting the origin and the standard basis vectors.

The volume of this simplex can be determined by finding the determinant of the matrix formed by these basis vectors. Since the standard basis vectors are orthogonal, the determinant of this matrix will be equal to the product of their magnitudes.

In nn dimensions, each standard basis vector has a magnitude of 1. Therefore, the volume of the simplex is 1^n.

To simplify, any number raised to the power of 1 is equal to the number itself.

So, the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

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