A seven-digit number has a 9 in the thousands place, a 2 in the
hundred thousands place, a 6 in the greatest place-value position, a 4
in the ten thousands place, a 1 in the tens place, a 5 in the least
place-value position, and a 7 in the hundreds place. What is the
number?

Answer:

6

Step-by-step explanation:

4 x 6 = 24

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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Answer:

Step-by-step explanation:

This question is about the benefits of estimation.

1300/13 is easy and results in 100.

1287/13 can be approximated by 1300/13:  1287/13 ≈ 100.

Actually, 1287 = 1300 - 13 = 13(99); just subtract 1 from 100.  

So:  1287/13 = 1300 - 13 = 1287.  A nice bit of mental math!

The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

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Answer:

TU = 6

Step-by-step explanation:

Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.

The graph shows the path Beth took on a walk and the line from time 6 to 10 indicates that both turned around and went in the other direction.

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the given graph in the question, we can say that position in the time period of 6 to 10 is changing, in fact, they started moving in another direction also the time is changing with it, which means that both turned around and went in the other direction.

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Answer: bbbbbbbbbbbbbbbbbbbbbB

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity. Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

Given

A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

Velocity,

v = √(1.65)² + (10.7)²

v = √2.722 + 114.49

v = √117.212

v = 10.82

The velocity of the boat relative to shore is 10.82. When A river flows due east at 1.65 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.7 m/s due north relative to the water.

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Answer:

523.3 cm³

Step-by-step explanation:

Formula for the volume of a sphere :

Volume (sphere) = 4/3πr³

=============================================================

Given :

⇒ Diameter = 10 cm

→ Radius = 5 cm

===========================================================

Solving :

⇒ Volume = 4/3 × 3.14 × 5³

⇒ Volume = 4/3 × 3.14 × 125

⇒ Volume = 392.5 × 4/3

⇒ Volume = 1570/3

⇒ Volume = 523.3 cm³

Answer:

here

Step-by-step explanation:

Let the angle of elevation be \thetaθ

\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}

∴tanθ=

heightofshadow

heightofmast

∴tanθ=

14

44

∴tanθ=3.14285714

∴θ=tan

−1

(3.14285714)

∴θ=72.349875765°

∴θ=72.35°

Hence, angle of elevation of the sun is 72.35°.

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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It is to be noted that the volume of Emma's storage tank is: 785.3cubic feet.

Start by calculating the area of the base of the storage tank. The area of a circle is calculated by: A = π*r², where r is the radius of the circle.

Where:

π = 22/7

r = radius of the circular base

Recall that for Emma’s cylindrical storage tank, the radius of the base is 5 feet.

So we replace this value in the formula and calculate the area of the base, which is equal to:

A = π*5²

A = 22/7 * 5²

= 78.5714285714

\(\approx\) 78.54 square feet.

Now we need to compute the volume of the cylindrical storage tank. The volume of a cylinder is calculated by:

V = π*r²*h,

where r is the radius of the circle and h is the height of the cylinder.

Recall that for Emma’s tank, the height is 10 feet. Hence,

We substitute these values in the formula and calculate the volume, which is equal to:

V = π*5²*10 = 785.4 cubic feet.

Therefore, Emma’s cylindrical storage tank has a capacity of 785.4 cubic feet.

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Answer:

To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.

Using this method, we get:

40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)

40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)

40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)

40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)

Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

  r = 6.4/(1+sin(θ))

Step-by-step explanation:

As the attachment shows, for the given directrix and eccentricity, the equation is ...

  \(r=\dfrac{ed}{1+e\sin{\theta}}\\\\r=\dfrac{1.6\cdot 4}{1+1.6\sin{\theta}}\\\\\boxed{r=\dfrac{6.4}{1+\sin{\theta}}}\qquad\text{matches the 2$^{\text{nd}}$ choice}\)

Answer:

c StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. \(\sqrt[3]{100}\)x/5

Hey there!☺

\(Answer:\boxed{2x+2y+8}\)

\(Explanation:\)

\(2y-3x+8+5x\)

In our first step, we will simplify both sides of the expression:

\(2y+-3x+8+5x\)

Now we will combine like terms:

\((-3x+5x)+(2y)+(8)\\2x+2y+8\)

2x+2y+8 is your answer.

Hope this helps!☺

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer:

43.6

Step-by-step explanation:

I hope this helps you :)

Answer:

43.59

Step-by-step explanation:

43.59 because it is

The solution to the system of equations is (-1, 6) and the determinants are D = -13, Dx = 13 and Dy = -78

The system of equations is given as

3x + 5y = 27

2x - y = -8

Remove the variables x and y from the equation

So, we have the following representation

3    5   27

2    -1   -8

Calculate the determinant D

So, we have

D = 3 * -1 - 5 * 2

D = -13

Replace the first column with x

27    5

-8    -1

Calculate the determinant Dx

So, we have

Dx = 27 * -1 - 5 * -8

Dx = 13

Replace the second column with y

3    27

2     -8

Calculate the determinant Dy

So, we have

Dy = 3 * -8 - 27 * 2

Dy = -78

So, we have

x = Dx/D and y = Dy/D

This gives

x = 13/-13 = -1

y = -78/-13 = 6

Hence, the solution is (-1, 6)

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Answer:

Step-by-step explanation:

circumference of a circle = 2 π r

where r = 12.25 cm radius

plugin values into the formula:

circumference of a circle = 2 π (12.25)

                                          = 76.9 cm

Answer:

\(6x^2-1y+5+18x\)

Step-by-step explanation:

\(7x^2+2y-x^2+18x+5-3y\)

\(6x^2-1y+5+18x\)

For some reason, the value of "w" is not supplemented into the equation, which is weird, but whatever. I will answer the problem for you.

The answer you are looking for is -5.

Solution/Explanation:

Writing out the expression first

-7/3x+y²

Substituting the given values of the variables, only "x" and "y"

-7/3(6)+(-3)²

Simplifying

(-7/3)(6)=-14

(-3)²=9

So, we will come up with -14+9.

This simplifies to -5.

So, therefore, the final answer to this problem is -5.

Hope this helped answer your question for you. Good day to you.

9514 1404 393

Answer:

  -5

Step-by-step explanation:

Put the values of the variables where the variables are and do the arithmetic.

  \(-\dfrac{7}{3}x +y^2=-\dfrac{7}{3}\times6+(-3)^2=-\dfrac{7\cdot6}{3}+9\\\\=-14+9=\boxed{-5}\)

The value of the given expression for given c and x values is 9.

The given expression is c - 3r.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Put the values c=-4 and x=3 in the given expression, we get

-3 - 3(-4)

= -3 +12

= 9

Therefore, the value of the given expression for given c and x values is 9.

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The LCM of 92 and 146 is 6716; and the HCF of 92 and 146 is 2

From the question, we are to determine the LCM and the HCF of the given numbers.

The given numbers are 92 and 146

Determining the LCM

To determine the LCM, we will list the prime factors of each number

Factors of 92 = 1, 2, 4, 23, 46 and 92

Factors of 146 = 1, 2, 73, 146

To determine the LCM, we will find the product of the prime factors

LCM of 92 and 146 = 2 × 2 × 23 × 73

LCM of 92 and 146 = 6716

Determining the HCF

To determine the HCF of 92 and 146, we will list the prime factors of each number

Factors of 92 = 1, 2, 4, 23, 46 and 92

Factors of 146 = 1, 2, 73, 146

From the factors, we can observe that the highest common factor is 2

Hence, the LCM is 6716 and the HCF is 2

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Answer:

A = $10.50

B = $17.50

C = $24.50

Step-by-step explanation:

It's not possible to express w as a function of z such that the average normal stress remains constant if the pier has a square cross-section.

The average normal stress in a pier can be calculated as the force applied on the pier divided by the cross-sectional area. Let's assume that the width of the pier at a depth of z is w and the width at the surface (z = 0) is w1.

The force applied on the pier is given by the hydrostatic pressure at a depth z, which is equal to the fluid density (p) multiplied by the acceleration due to gravity (g) and the depth z.

The cross-sectional area of the pier at a depth z is given by the product of the width (w) and the height (y) of the pier.

So, the average normal stress in the pier can be expressed as:

σ_avg = p * g * z / (w * y)

If we want to keep the average normal stress constant, we need to make sure that this expression remains constant as the width changes with depth. Hence, we can equate the expression at the surface (z = 0) and at a depth z and solve for w as a function of z:

σ_avg = p * g * z / (w * y) = p * g * 0 / (w1 * y)

w = w1 * p * g * z / (p * g * 0)

Since the denominator (p * g * 0) is equal to zero, we cannot divide by it. However, since it appears in both the numerator and denominator, we can simplify the expression to:

w = w1 * z / 0 = undefined.

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Answer:

Is it compounded monthly, weekly, yearly, or continuously?

Step-by-step explanation:

then the formula would be P=A/(1+r/n)^tn where r is interest rate as a decimal, A is the initial value, t is the time and n is the number of times compounded in a unit 't'. Plugging in the values, we would get 1000/(1+.05/1)^8(1)=$1477.46