find three consecutive odd integers whose sum is 51

Step-by-step explanation:

2 hours a day for M-Th would be 8 hours. Sunday >up to< 3 hours. In 1 week, you'd have the 4 days ×2hrs ea day plus the 3hrs from Sunday... In one week she (assuming she did the full 3hrs) would have done 11hrs of piano practice. Not sure completely what to do but that's my first part that I do to figure it out if that helps any...

the answer is C

Step-by-step explanation:

2 is the x axis and 5 is the y

Answer:

x=15

Step-by-step explanation:

crown plz

Answer:

a

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

A(- 1, - 1 ) → A'(1, 1 )

Answer:

a

Step-by-step explanation:

Answer:

\(3\sqrt{3}x\)

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

So ,

\(\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x\)

The actual factor of safety is 0.0874. a) One roof support load data: P = (600 × 100) / 4 = 150000 N

b) The value of z that corresponds to a reliability of 0.995 against compressive failure is 2.81.

c) The design factor associated with a reliability of 0.995 against compressive failure is 3.15.

d) The required diameter dowel for a reliability of 0.995 is calculated by:

\[d = \sqrt{\frac{4P}{\pi Su N_{d}}}\]

Where, \[Su\]-N[10.18, 0.4) ksi\[N_{d}\]= 0.2\[d

= \sqrt{\frac{4(150000)}{\pi (10.18) (0.2)}}

= 1.63 \,inches\]

The diameter of the dowel needed for a reliability of 0.995 is 1.63 inches.

e) A standard dowel with a diameter of at least 1.63 inches is required for a minimum reliability of 0.995 against failure. From the standard diameters given in the question, a 6-inch diameter dowel is the most suitable.

f) The actual factor of safety is the load that will cause the dowel to fail divided by the actual load. The load that will cause the dowel to fail is

\[P_{f} = \pi d^{2} Su N_{d}/4\].

Using the value of d = 1.63 inches,

\[P_{f} = \frac{\pi (1.63)^{2} (10.18) (0.2)}{4}

= 13110.35 \, N\]

The actual factor of safety is: \[\frac{P_{f}}{P} = \frac{13110.35}{150000} = 0.0874\]

Therefore, the actual factor of safety is 0.0874.

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The domain of f { (x,y) ∈ R²  x² + y² < (3/5)² } is bounded.

What does the math term domain mean?

Given f(x,y) = \(\frac{1}{\sqrt{9 - 25x^{2} - 25y^{2} } }\)

a) the domain of f is the value of ( x, y) for which 9 - 25x² -25y² >0

9 - 25x² -25y² ⇒ 9/25 > x² + y² ⇒  x² + y² < (3/5)²

∴ domain of f = [ (x,y) ∈ R² : x² + y² < (3/5)²}

B) Let z = f = \(\frac{1}{\sqrt{9 -25x^{2} - 25y^{2} } }\)

 its range is { z ∈ R² : 3z > 1}

c) let f = k ⇒ k = \(\frac{1}{\sqrt{9 - 25x^{2} - 25y^{2} } }\)

k² ( 9 - 25x² - 25y²) = 1 =  9 - 25x² - 25y² = 1/k²

⇒ 25x² + 25y² = 9 - 1/k² ⇒ x² + y² = 1/25( 9 - 1/k²)

The level curves are circles for different k values .

d) The boundary of the function's domain

   = { (x,y) ∈ R²  x² + y² = (3/5)²}

e) Since  x² + y² < (3/5)² is the circular open disk , the domain of f is an open set

f) The domain of f { (x,y) ∈ R²  x² + y² < (3/5)² } is bounded.

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the impact on the error probability of part is on  Decreasing trends of the test procedure

A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.

The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).

So using lower values of α can increase the probability of a Type II error.

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Answer:  Top one is trapezoid, middle one is rectangle, bottom one is triangle

Step-by-step explanation:

I took the test and got them all right, so this one must also be right

The shape is formed by each cross-section shown is Top is a trapezoid, the middle is a rectangle, the bottom is a triangle.

A branch of mathematics that offers the dimension, houses, and relationships of points, traces, angles, surfaces, and solids broadly: the take a look at houses of given elements that continue to be invariant beneath detailed ameliorations.

The definition of geometry is a department of math that makes a specialty of the measurement and courting of lines, angles, surfaces, solids, and points. An instance of geometry is the calculation of a triangle's angles.

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Answer:

-49 is the answer for the question

CD with the points at the end (like a number line) with the numbers C, D go in the last box.

The ones in forms of angles with the letters C, T, M in the first one

The correct figure matched to each label is given below.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

We have 5 diagrams.

The first diagram represents the segment CD.

The second diagram represents a ray CD.

The angle measure of CTM is represented by the third diagram.

The angle measure of TCM is represented by the fifth diagram.

And the free line from the both sides CD is given in the fourth diagram.

The matched images are given in the attached image.

∠CTM = Image 1 (attached)

CD = Image 2 (attached)

Therefore, the matched images are given above.

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The focal length of the lens is 20 cm. The image should be at 60 cm from the lens.

Given a plant placed 6 squares distant from a convex lens. Since the refracted rays are converging the given lens is a convex lens.

Here each square is 5 cm along the horizontal direction.

The ray from the top of the plant pass through the lens and cross the principal axis at a distance 4 squares from the lens.

Hence the focal length of the lens, f = 4 x 5 = 20 cm.

We have the lens formula for convex lens.

i.e., 1/f=1/v+1/u ,

where v is the distance of real image from the center of the lens, u is the distance of the object from the center of the lens and f the focal length of the lens.

Here, u = 6 x 5 = 30 cm

So in order to find where the real image is produced,

we have 1/v = 1/f - 1/u

Therefore, v = uf /u-f = 30 x 20 / 30-20 = 60 cm.

Thus the real image is formed at a distance of 60 cm from the center of the lens.

Your question was incomplete. Please check below the full content.

Figure 1 shows a small plant near a thin lens. The ray shown is one of the principal rays for the lens. Each square is 5.0 cm along the horizontal direction, but the vertical direction is not to the same scale. Use Information from the diagram to answer the following questions. What is the focal length of the lens? Calculate where the image should be.

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Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

Step-by-step explanation:

the range of f(x) = 4x + 6 is all real numbers

Answer:

it's a linear function, so the range is all real numbers

Answer:

A or the first answer is correct

Step-by-step explanation:

3650 - 2000 = 1650

1650 / (divided by) 150 = 11

you can also check your work by doing 150 *(times) 11 = 1650

1650 + 2000 = 3650

Answer:

A. - This is my guess.

Answer:

its c and use th e thererum

Answer: 12/7

Step-by-step explanation: steps in pic, hope this helps!

(1) $132,000 is the net income

(2) $66,000 total income

Selling price per unit:

= Sales ÷ No. of units

= $456,000 ÷ 5,700

= $80

Variable cost per unit:

= variable cost ÷ No. of units

= $102600 ÷ 5,700

= $18

Alternative 1:

Contribution margin = Sales - variable cost

                                 = (5,700 × $80 × 1.1) - (5,700 × $18)

                                 = $440,000 - $210,000

                                 = $230,000

Net income = Contribution margin - Fixed cost

                  =  $230,000 - $98,000

                  = $132,000

Alternative 2:

Contribution margin:

= sales - variable cost

= $456,000 - ($456,000 × 59%)

= $456,000 - $236,000

= $164,000

Net income = Contribution margin - Fixed cost

                  =  $164,000 - $98,000

                  = $66,000

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Given that you roll a 6-sided die and you count the number of each outcome, you need to remember that when you roll a 6-sided die, the probability of occurrence of each outcome is:

It does not matter how many times you roll the die, the probability will always be the same from one roll to another. This means that each roll is independent because the probability of the first roll does not affect the probability of the second one, due the die will always have the same number of faces.

Therefore, you can conclude that it is a binomial random variable.

Hence, the answer is: Option A.

The range for this function is (0,800].

What is a geometric progression?

It is a sequence of terms in which the succeeding term is can be found out by multiplying with a constant non zero value.

here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82, hence its a decreasing progression.

so the maximum value in range is 800

as x tends to infinity the equation tends to 0

hence the funtion apporaches 0

so the range will be (0,800]

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Using geometric progression, the range for this function is (0,800].

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio."

This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

Here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82.

Hence it's a decreasing progression.

So, the maximum value in the range is 800.

As x tends to infinity the equation tends to 0.

Hence, the function approaches 0

So the range will be (0,800].

Therefore, using a geometric progression, the range for this function is (0,800].

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Answer:

he would spend 18 dollars if he buys 24 sheets

Answer:

A

Step-by-step explanation:

2 to the negative 4th is 1/16, because anything to a negative exponent goes to the denominator. Same with x and y.

Answer:

The answer is Aso u should choose a

Answer: \(200\ cm^3\)

Step-by-step explanation:

Given

The dimension of the rectangular prism is

\(l=5\ cm\\w=10\ cm\\h=4\ cm\)

The volume of the prism is given by \(V=l\times w\times h\)

\(\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3\)

Therefore, the volume of the prism is \(200\ cm^3\).

The function h(t) = 21t³ - 31t² - 121t + 1 has a maximum at t ≈ -0.833 and a minimum at t ≈ 2.139.

To find the critical points of the function h(t) = 21t³ - 31t² - 121t + 1, we need to find the values of t where the derivative of h(t) equals zero or is undefined.

First, let's find the derivative of h(t):

h'(t) = 63t² - 62t - 121

To find the critical points, we set h'(t) equal to zero and solve for t:

63t² - 62t - 121 = 0

Unfortunately, this equation does not factor easily. We can use the quadratic formula to find the solutions for t:

t = (-(-62) ± √((-62)² - 4(63)(-121))) / (2(63))

Simplifying further:

t = (62 ± √(3844 + 30423)) / 126

t ≈ -0.833 or t ≈ 2.139

These are the two critical points of the function h(t).

To determine whether each critical point corresponds to a minimum or maximum, we can examine the second derivative of h(t).

Taking the derivative of h'(t):

h''(t) = 126t - 62

For t = -0.833:

h''(-0.833) ≈ 126(-0.833) - 62 ≈ -159.458

For t = 2.139:

h''(2.139) ≈ 126(2.139) - 62 ≈ 168.414

Since h''(-0.833) is negative and h''(2.139) is positive, the critical point at t ≈ -0.833 corresponds to a maximum, and the critical point at t ≈ 2.139 corresponds to a minimum.

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Answer:

The answer to your problem is, A semicircle is half of a circle

What is Semicircle?

If a circle is cut into half along the diameter, that half-circle is called a semicircle. The two halves are of equal measure. A semicircle can also be referred to as a half-disk and it represents a circular paper plate folded into halves. There is one line of symmetry in the semicircle that is considered as the reflection symmetry. Since the semicircle is the half of a circle which is 360°, hence the arc of the semicircle always measures 180°.

Or if you have no time imagine

You have an entire pizza you tell you other friend “ Lets half the pizza “ You do that next you can tell your friend that this is a semicircle and we both have semicircles your friend might not know but know they know . .

Interesting story I know but that is our answer.

Thus the answer to your problem is, A semicircle is half of a circle

Answer:

le demi-cerclec'est une figure plate délimitée par un diamètre de la circonférence et l'un des deux arcs de cercle plats déterminés par ledit diamètre. De cette façon, un demi-cercle est bordé par un demi-circonférence, qui se compose d'un arc de cercle plat et d'un segment droit qui joint les extrémités de l'arc de cercle plat.

Step-by-step explanation:

Our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

To solve this problem, we can set up a proportion based on the information given and use algebra to find the total number of questions on the test.

Let's denote the total number of questions on the test as 'x'. We know that Aayan got 5/7 of the questions correct, which means he got 5/7 of the total number of questions correct.

We can set up the proportion:

(5/7) = 65/x

To solve for 'x', we can cross-multiply:

5x = 7 * 65

5x = 455

Next, we divide both sides of the equation by 5 to isolate 'x':

x = 455/5

x = 91

Therefore, there were 91 questions in the test.

To verify our answer, we can check if Aayan getting 65 questions correct is indeed 5/7 of the total number of questions.

65 is indeed 5/7 of 91:

(5/7) * 91 = 65

Therefore, our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

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Answer:

16.67

Step-by-step explanation:

Solution for 90 is what percent of 540:

90:540*100 =

(90*100):540 =

9000:540 = 16.67

Answer:

16.67

Step-by-step explanation:

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

94/ 540 × 100/ 100

= ( 90 × 100/ 540 ) × 1/ 100

= 16.67/ 100

the answer is 16.67%

hope it helps!

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:

This is incorrect, since 14 is not greater than 14

Step-by-step explanation: