T/F. Star clusters with lots of bright, blue stars of spectral type O and B are generally younger than clusters that don't have any such stars.

Answer:

i agreee

Step-by-step explanation:

The probability that all three number cubes will land on an odd number is 1/8

From the question, we have the following parameters that can be used in our computation:

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

Substitute the known values in the above equation, so, we have the following representation

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

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      /.         ;      

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Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

SAS

Step-by-step explanation:

The triangles have the same angle and two sides.

Please mark me brainliest if this helped. :)

Answer:

Step-by-step explanation:

5/2

Answer: Area of Cylinder = 753.982

Step-by-step explanation:

Given:

h = 7 cm

r = 8cm

Formula for cylinder:

A = (Perimeter of base) x height + 2 (Area of Base)

Breakdown:

Perimeter of base = 2\(\pi r\)

Perimeter of base = 2 \(\pi\) (8)

Perimeter of base = 50.2655

Area of Base = \(\pi r^{2}\)

Area of Base = \(\pi 8^{2}\)

Area of Base = 201.0619

Area of Cylinder = (Perimeter of base) x height + 2 (Area of Base)

Area of Cylinder = (50.2655)(7) +2(201.0619)

Area of Cylinder = 753.982

Answer:

Step-by-step explanation:

find the point of intersection of each line with x-axis(y or x2=0) and y-axis (x or x1=0)

find also the point of intersection of two lines .

Find P at (0,0) and other three points found above and find maximum P.

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

Answer:

We conclude that the cost of 10 trees will be: $350

Step-by-step explanation:

From the table, it is clear that:

The cost of 6 trees = $210

So the cost of 1 tree = 210/6 = $35

The cost of 13 trees = $455

So the cost of 1 tree = 455/13 = $35

The cost of 18 trees = $630

So the cost of 1 tree = 630/18 = $35

Thus, the table indicates that the cost of 1 tree = $35

In other words,

Therefore, the cost of 10 trees will be: 35 × 10 = $350

Thus, we conclude that the cost of 10 trees will be: $350

The value of f(2) in the given algebraic expression is:  18

The algebraic expression we are given is expressed as:

f(x) = 2x² + 5√(x + 2)

Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:

f(2) = 2(2)² + 5√(2 + 2)

f(2) = (2 * 4) + 5√4

f(2) = 8 + 5√4

f(2) = 8 + (5 * 2)

f(2) = 8 + 10

f(2) = 18

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Complete Question is:

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______

Answer:

36

Step-by-step explanation:

since there are six outcomes for the spinner and six outcomes for the cube,

6 x 6 = 36

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

the numbers are multiplied by a factor of 4 or

1 : 4

Therefore , the solution of the given problem of fraction comes out to be Jada shaded 3/4 of the paper.

An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction. .

Here,

Based on the picture, it looks like Jada folded the paper in half vertically and horizontally, resulting in four equal quadrants.

She shaded three of these quadrants, leaving one unshaded.

Each shaded quadrant is half of a half, or 1/4, of the total paper.

Therefore, Jada shaded 3/4 of the paper.

Therefore , the solution of the given problem of fraction comes out to be Jada shaded 3/4 of the paper.

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

no

Step-by-step explanation:

for a graph to be function, there has to be one point for one value of x but here one value of x represents two points of the graph. so this is not a function.

Answer:

So the width of the rectangle is 20 units.

Step-by-step explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).

The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

\(2\pi r\)

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

\(2\pi r=\\2\pi *4=\\8\pi\)

\(\pi\) is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

Answer:

He can buy 34 containers with a remainder of one dollar.

Step-by-step explanation:

11 x 30 = 330

375 - 330 = 45

11 x 4 = 44

45 - 44 = 1

Answer:  The answer to this is.............

                 34 containers

Step-by-step explanation:

k12

sorry if I am late

hope this helps

Answer:

not sure but i got -12000000000 in the calculator

Step-by-step explanation:

−12x1001001 if you are simplifying

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

The possible lengths of the path are (2,3,5)

Any side of a triangle must be shorter than the other two sides added together. If a side is equal to the other two sides it is not a triangle.

Given here: A 9 mile long triangular path.

In Euclidean geometry, triangle inequlaity theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c.

Thus we have

a) 1+1=2<7 (False)

b)1+2=3<6 (False)

c)2+2=4<5 (False)

d) 2+3=5>4 ( True)

Therefore the possible lengths of the paths are (2,3,5)

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A triangular bike path is exactly  miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths? (1 Point)

1mile,  1mile,  7miles

1 mile, 2 miles, 6 miles

2 miles,  2miles, 5 miles

2 miles,  3miles, 5 miles

Answer:

y = -9x - 82

Step-by-step explanation:

Line with slope m=-9 passing through A(x1, y1) =A(-9,-1)

y-y1 = m(x-x1)

Substitute values

y-(-1) = -9(x-(-9)

y+1 = -9x -81

y = -9x - 82

Answer:

Step-by-step explanation:

44+.14x = 51+.09x

.05x=7

140=x, or the amount of driving the two needs to do for the plans to be the same

44+14(.14)

plug it back in to find the cost

$63.60

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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m    dm    cm    mm

                0        8

8 mm = 0,8 cm

Step-by-step explanation:

48 cm

Texas' location and climate led to the development of the aviation industry.

What is the significance of Texas in the development of the aviation industry?

The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.

Reason what led to the development of the aviation industry :

Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.

Therefore, option (d) is correct.

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