Can someone please help

Answer:

It  will look like this

circumference of a circle = 471 mm

Explanation:

circumference of a circle = 2πr

r = radius

let π = 3.14

diameter = 150mm

diameter = radius/2 = 150mm/2

diameter = 75mm

circumference of a circle = 2 × 3.14 × 75

circumference of a circle = 471 mm

Answer:

out of a 100 spins, we expect 33.33 to give a sum of 7

So, rounding to the nearest whole number, we expect to get a sum of 7 33 times out of a hundred

Step-by-step explanation:

We note that 1+6 = 7, 2+5 = 7, 3+4 = 7,

Now, since the sections of the spinners are equal,

The probability that they stop at any number  is 1/3 (since there are 3 sections)

, now, for, 1+6, the 1st spinner stops at 1, and the 2nd spinner stops at 6,

The probability of this happening is,

(1/3)(1/3) = 1/9

Similarly for 2+5 we get, (1/3)(1/3) = 1/9

And for 3+4, the 1st spinner stops at 3, and the 2nd spinner stops at 4,

The probability is,

(1/3)(1/3) = 1/9

So, the total probability that the sum is 7 is,(for a single try) the sum of these probabilities,

P = either the sum is 1+6 or 2+5 or 3+4,

P = 1/9 + 1/9 + 1/9 = 3/9

P = 1/3

For 1 try, the chance is 1/3, for 100 tries, we multiply this by 100,

(1/3)(100) = 33.33

So, out of a 100 spins, we expect 33.33 to give a sum of 7 or, 33-34 will give a sum of 7

Answer:

\(58x-54=468\)

Step-by-step explanation:

Number of repeat customers = 40

Amount charged from each of the repeat customers = $ x

So,

amount charged from 40 customers = $ 40 x

Number of new customers = 18

As Michel charged each of the new subscribers $3 less than the amount charged from each of the repeat customers,

amount charged from each of the new customers = $ (x - 3)

So,

amount charged from 18 new customers = $ 18(x - 3)

Total amount charged from repeat and new customers = \(\$[(40x)+18(x-3)]=\$40x+18x-54=\$58x-54\)

As Michel collected $468 for delivering newspapers,

\(58x-54=468\)

Answer:

Are you asking to divide 2 divided by 1 ?

If so its 2

Plz like & brainly, I'm close to next lvl

It would help :D

Answer:8% started saving at or before 21

30% believe their children or grandchildren should start saving at or before 21

Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements

That is 3%+5%=8%

The second solution goes thus

13%+17%= 30%

the ones in dark colors believe their children or grandchildren should start saving before 21

The length CT of the line segment is 38 units

From the question, we have the following parameters

CJ = 9x + 1

JT = 2x + 15

Also, we understand that:

Point J is the midpoint of segment CT.

This means that

CJ = CT

So, we have

9x + 1 = 2x + 15

Evaluate the like terms

7x = 14

So, we have

x = 2

Length CT is calculated as

CT = 9x + 1 + 2x + 15

So, we have

CT = 9 x 2 + 1 + 2 x 2 + 15

Evaluate

CT = 38

Hence, the length is 38 units

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Answer:

To write equivalent fractions with a common denominator, we need to find the least common multiple (LCM) of the denominators of the fractions and then write each fraction with the LCM as the denominator. Here's a step by step guide:

1. To find the LCM of 3 and 6, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 3: 3, 6, 9, 12, 15, 18, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

The LCM of 3 and 6 is 6, so we write 2/3 and 3/6 with 6 as the denominator:

2/3 = 4/6 and 3/6 = 1/2

2. To find the LCM of 4 and 12, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, ...

The LCM of 4 and 12 is 12, so we write 3/4 and 5/12 with 12 as the denominator:

3/4 = 9/12 and 5/12 = 5/12

3. To find the LCM of 5 and 10, we list the multiples of each number and find the smallest one that is common to both:

Multiples of 5: 5, 10, 15, 20, 25, 30, ...

Multiples of 10: 10, 20, 30, 40, 50, 60, ...

The LCM of 5 and 10 is 10, so we write 3/5 and 7/10 with 10 as the denominator:

3/5 = 6/10 and 7/10 = 7/10

You can use this process to find the LCM and write equivalent fractions with a common denominator for the rest of the problems.

The required proportional ratio is y = 0.08 x. gives Halona 23 minutes to move her 1.93 kilometers to her neighbor's house. As long as you move at a steady pace.

How many kilometers Halona can run in x minutes y expressed as a ratio. Then find y in percentage. The relationship between two or more proportional or inversely proportional sets of values, whether they are directly related or not, is called proportionality.

Here we have

Substitute k into the proportional equation.

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The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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Answer:

\(f^{-1}(x)=2^x+3\)

Step-by-step explanation:

Given:

\(y=\log_2(x-3)\)

To find the inverse of the given function, make x the subject.

\(\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b\)

\(\implies 2^y=x-3\)

Add 3 to both sides:

\(\implies x=2^y+3\)

Swap x for \(f^{-1}(x)\) and y for x:

\(\implies f^{-1}(x)=2^x+3\)

The approximate length of a side of the rhombus is 10.67 cm.

A rhombus is a quadrilateral with all sides of equal length.

The diagonals of a rhombus bisect each other at right angles.

Let's label the length of one diagonal as d1 and the other diagonal as d2.

In the given rugby-shaped figure, the length of d1 is 14 cm, and the length of d2 is 12 cm.

Since the diagonals of a rhombus bisect each other at right angles, we can divide the figure into four right-angled triangles.

Using the Pythagorean theorem, we can find the length of the sides of these triangles.

In one of the triangles, the hypotenuse is d1/2 (half of the diagonal) and one of the legs is x (the length of a side of the rhombus).

Applying the Pythagorean theorem, we have \((x/2)^2 + (x/2)^2 = (d1/2)^2\).

Simplifying the equation, we get \(x^{2/4} + x^{2/4} = 14^{2/4\).

Combining like terms, we have \(2x^{2/4} = 14^{2/4\).

Further simplifying, we get \(x^2 = (14^{2/4)\) * 4/2.

\(x^2 = 14^2\).

Taking the square root of both sides, we have x = √(\(14^2\)).

Evaluating the square root, we find x ≈ 10.67 cm.

Therefore, the approximate length of a side of the rhombus is 10.67 cm.

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Answer:

25+22

Step-by-step explanation:

When you subtract 27 to 22

Answer:

31 and 26

Step-by-step explanation:

31 + 26 = 57

31 - 26 = 5

Therefore, your answer is 31 and 26

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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Step-by-step explanation:

Since there is 2 unknown variable ,

so we need 2 equation to find their values.

The list that shows the numbers |-0.12|, 1/8, 1/9 in order from smallest to largest is:

1/9, |-0.12|, 1/8.

The absolute value of a number is the distance of the number to the origin, hence it is represented by the number without the signal.

In the context of this problem, the absolute value of -0.12 is:

|-0.12| = 0.12.

To convert a fraction to decimal, we divide the top term of the fraction, called numerator, by the bottom term of the fraction, called the denominator.

Hence, in the context of this problem, the decimal representation of the fractions is given as follows:

To order the three numbers, both have integer part 0, hence we look at which one has the greater decimal part, hence they are ordered as 1/9, |-0.12|, 1/8, from least to greatest.

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Explanation:

Let's go with the example given to us. Let's say the correct lock combo is 4-2-7.

If we get the first two digits right, then we have 8 choices for the third digit since we pick from between 1 and 8 inclusive. There are 8 combos of the form 4-2-x.

The same goes for stuff of the form 4-x-7 and x-2-7.

There appear to be 8+8+8 = 24 different combos that will open this faulty lock. However, we must subtract off 2 because we've triple counted "4-2-7" when adding up those 8's.

In reality there are 24-2 = 22 different combos that will open the faulty lock.

There are 8^3 = 512 different combos total. That gives 512-22 = 490 combos that do not open the lock.

If the person is very unlucky, with the worst luck possible, then they would randomly try all of the 490 combos that don't work.

Attempt number 491 is when they'll land on one of the 22 combos that do work.

\(47 \times {10}^{4} \\ = 47 \times 10000 \\ = 470000\)

D. 470000

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

\(47 \times 10 {}^{4} \\ \\ = 47 \times 10000 \\ \\ = 470000\)

Answer:

37.0149 kilometers

Step-by-step explanation:

Answer:

You're less likely to make mistakes reading or writing very big and very small numbers if you use scientific notation. It also makes it much easier to tell at a glance which numbers are bigger or smaller without counting long strings of zeros.

Answer:

Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer:

g(x)=2(x-4)+7

2g(-6)=2[2(-6-4)+7]

=2[2(-10)+7]

=2(-20+7)

=2(-13)

=-26

To determine the solutions x⁵ + 2x³ = 3, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Let's solve the equation step by step to find the solutions.

Starting with the given equation:

log₃(x) + log₃(x² + 2) = 1 - 2log₃(x)

Now, let's simplify the equation using logarithmic properties. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient:

log₃(x(x² + 2)) = 1 - log₃(x²)

Next, we can simplify further by using the properties of exponents. The logarithmic equation can be rewritten in exponential form as:

(\(3^{(log3(x(x^{2} +2)))} = 3^{(1-log3((x^{2}))}\)

The base of the logarithm and the exponent cancel each other out, resulting in:

x(x² + 2) = \(3^{(1-log3(x^{2}))}\)

Now, let's simplify the right-hand side by applying the power rule of logarithms:

x(x² + 2) = 3 / \(3^{(log3(x^{2} ))}\)

Since  \(3^{(log3(x^{2} ))}\)       is equal to x² by the definition of logarithms, the equation becomes:

x(x² + 2) = 3 / x²

Expanding the left-hand side:

x³ + 2x = 3 / x²

Multiplying through by x² to eliminate the fraction:

x⁵ + 2x³ = 3

This is a quadratic equation, which does not have a general algebraic solution that can be expressed in terms of radicals. Therefore, it is challenging to find the exact solutions analytically.

To determine the solutions, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

11.

Step-by-step explanation:

100-32    = money after hat purchase

(100-32) dollars  / 6 dollars / scarf   = 11.33   or 11 scarves (because you cannot buy a fraction of a scarf)

Answer:

Step-by-step explanation:

y = mx + b           y is intercept form    as I remeber

so

4y + 4x = -32    divide  both sides by 4

y + x = -8       subtract x from both sides

y = -x + (-8)  

y = -x - 8        

Answer: 15) 97

16) 16

17) 24

Step-by-step explanation:

15) (x-75) + (x-52)+ 293=360

x - 75 + x - 52 + 293 = 360

2x - 127 + 293 = 360

2x + 166 = 360

        2x  = 194           [Subtract 166 from both side]

          x  = 97             [Divide by 2 from both side]

16) (4x+15)+(5+6x)=180         The angle of a straight line is 180.

4x + 15 + 5 + 6x = 180

10x + 20 = 180

        10x = 160            [Subtract 20 from both side]

            x = 16               [Divide by 10 from both side]

17) (x+17)+(2x+1)= 90               These two angle combined equal to 90.

x + 17 + 2x + 1 = 90

3x + 18 = 90          

3x = 72                         [Subtract 18 from both side]

x = 24                           [Divide by 3 from both side]

Answer:

0.42

Step-by-step explanation:

4.2 * 1/10 = 4.2/10

= 0.42

The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.

While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.

An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.

Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.

An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."

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