please help me it not hard​

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)

Answer:

500029301.171

Step-by-step explanation:

The bus is 4 blocks east of the hotel.

For given question

A sightseeing bus picks up a group of tourists at a hotel. It then travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, to determine where the bus is in relation to the hotel, the following calculation must be carried out:

North and South are antagonistic, the same as East and West  

2 N + 2 E - 1S + 2E - 1S

2 N - 2S = 0

2E + 2 E = 4E

Therefore, the bus is 4 blocks east of the hotel.

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Answer:

I think it 1188mm but not that sure if someone can double make sure

Answer:

382.50

Step-by-step explanation:

Area of the Shaded region = Area of the larger triangle - Area of the smaller triangle;

Let's find the area of the large triangle first;

A = 1/2(base) * (height)

A = 1/2(33) * (33)

A = 16.5 * 33

A = 544.5

Now let's find the area of the small triangle;

A = 1/2(base) * (height)

A = 1/2(18) * (18)

A = 9 * 18

A = 162

Area of the shaded region;

=> 544.5 - 162

=> 382.5 (if rounded to the nearest hundredths, 382.50)

Hope this helps!

Answer:

I cant see the picture

Step-by-step explanation:

-9.125

Answer:

-9 1/8

Step-by-step explanation:

Answer:

a: b: c= 2: 9 :4

Step-by-step explanation:

\( \frac{a}{b} = \frac{2}{9} \)

\( \frac{b}{c} = \frac{9}{4} \)

Since b is the common variable in both fractions, ensure that the value of b in both fractions are the same. Here, the value of b in both fractions are 9. Thus, we can find their relationship with one another in terms of ratio by combining the two fractions together.

a: b: c= 2: 9: 4

This ratio is already in it's simplest form.

Answer:

2x^2+4x

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9x^2+2x

2x^2+4x

(if you would like an explanation let me know :D)

Answer:

7

Step-by-step explanation:

7/12 of 12

7/12 × 12

7/1 × 1

= 7

The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

Let x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.

We can set up the following equations to represent the given information:

180x + 230y + 160z = 2660 (hotel bills)

110x + 120y + 90z = 1520 (meal expenses)

x = y + z (he spent as many days in London as he did in Paris and Rome combined)

We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:

180x + 230y + 160z = 2660

110x + 120y + 90z = 1520

-180y - 180z + 180x = 0

Adding the first and third equations gives us:

360x + 50y - 20z = 2660

Adding the second and third equations gives us: 290x - 60y - 90z = 1520

We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:

1080x + 150y - 60z = 7980

-1450x + 300y + 450z = 7600

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

1630x - 150y - 510z = 380

Solving for x gives us:

x = (150y + 510z + 380) / 1630

Substituting this back into the third equation gives us:

y + z - (150y + 510z + 380) / 1630 = 0

Multiplying by 1630 and rearranging gives us:

1480y + 490z = 380

We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:

490(360x + 50y - 20z) = 490(2660)

50(290x - 60y - 90z) = 50(1520)

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

19600x + 24500y - 9800z = 1303400

-14500x + 3000y + 4500z = 76000 --------------------------------------------------

4100x - 21500y - 14300z = 1227400

Solving for y gives us:

y = (4100x + 14300z - 1227400) / 21500

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480(4100x + 14300z - 1227400) / 21500 + 490z = 380

Multiplying by 21500 and rearranging gives us:

606800x + 2054200z - 1817320000 = 0

Solving for z gives us:

z = (1817320000 - 606800x) / 2054200

Substituting this back into the equation x = y + z gives us:

x = y + (1817320000 - 606800x) / 2054200

Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0

Using the quadratic formula, we can find the value of x:

x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)

Plugging in the value of y from earlier gives us:

x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)

Simplifying and solving for x gives us:

x = 10

Substituting this back into the equation x = y + z gives us:

10 = y + z

Substituting this back into the equation 1480y + 490z = 380 gives us:

1480y + 490(10 - y) = 380

Solving for y gives us:

y = 6

Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z

Solving for z gives us:

z = 4

Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.

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The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.

To determine the results of the expressions, we can evaluate them using the given assignments:

num1 + num2:

Result: 12 + 5 = 17

num3 - num4:

Result: 10 - 3 = 7

num1 * num4 - num2:

Result: 12 * 3 - 5 = 31

num3 / num2:

Result: 10 / 5 = 2

num1 % num4:

Result: 12 % 3 = 0

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A translation happens when a constant is summed to the coordinates of a point. We need to find the values of these constants to determine the rule of translation. When we apply the translation to the point (-9,0), the result is (-12, -4). We can rewrite this as shown below:

The rule of translation is:

We need to find the coordinates for the image of the point (-1, -2). Applying the rule to this point we have:

The image is (-4,-6).

Answer:

The cylinders volume is 113.04 cubic inches

Step-by-step explanation:

The volume of a cylinder can be represented by the formula : V = π*r^2*h

So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.

V = π * 2^2 * 9

V = π * 4 * 9

It says to use 3.14 as π.

V = 3.14 * 4 * 9

V = 113.04

The cylinders volume is 113.04 cubic inches

Answer:

Step-by-step explanation:

Define the variables:

If a cup of coffee costs $2.25, the equation to represent the total cost of purchasing x cups of coffee would be:

\(\boxed{y = 2.25x}\)

If Sarah joins the Mug Club, she has to pay $8.00 for a mug but then gets a dollar off each cup of coffee.  Therefore, each cup of coffee would cost $1.25.

Therefore, an equation for the total cost of purchasing x cups of coffee when a member of the Mug Club would be:

\(\boxed{y = 8 + 1.25x}\)

To find the cost of purchasing 6 cups of coffee, input x = 6 into the two equations:

\(\begin{aligned}\textsf{Regular customer}\implies y&=2.25(6)\\&=13.50\end{aligned}\)

\(\begin{aligned}\textsf{Mug Club member} \implies y&=8+1.25(6)\\&=8+7.50\\&=15.50\end{aligned}\)

As $15.50 is greater than $13.50, Sarah should not join the Mug Club as it will cost her more when buying 6 cups of coffee than if she wasn't a member of the Mug Club.

To find when the Mug Club costs the same as purchasing coffee without the Mug Club, substitute the first equation into the second equation and solve for x:

\(\implies 2.25x=8+1.25x\)

\(\implies 2.25x-1.25x=8+1.25x-1.25x\)

\(\implies x=8\)

Therefore, the Mug Club costs the same as purchasing coffee without the Mug Club membership when 8 cups of coffee are purchased.

To find the total cost, substitute x = 8 into one of the equations:

\(\implies y=2.25(8)=18\)

Therefore, the total cost is $18.00.

To calculate how many cups of coffee you would need to purchase in order to make the Mug Club the better deal, set the equation for the Mug Club less than the equation without the Mug Club and solve for x:

\(\implies 8+1.25x < 2.25x\)

\(\implies 8+1.25x-1.25x < 2.25x-1.25x\)

\(\implies 8 < x\)

\(\implies x > 8\)

Therefore, you would need to purchase more than 8 cups of coffee in order to make the Mug Club the better deal.

Answer:

Step-by-step explanation:

You want to know when it is cost-effective to join the "Mug Club" for a cost of $8 and savings of $1 per cup of coffee that has a normal cost of $2.25 per cup. Sarah will be buying 6 cups of coffee.

It is useful to think about how much money you have to take out of your wallet to pay the costs. For Mug Club, you pay $8 before you get any coffee, and you pay $1.25 for each cup. For x cups of coffee, you pay y dollars:

  y = 8 +1.25x

When you're not in the Mug Club, your cost is $2.25 per cup:

  y = 2.25x

With Mug Club, the cost of 6 cups of coffee is ...

  y = 8 +1.25(6) = 15.50

Without Mug Club, the cost of 6 cups of coffee is ...

  y = 2.25(6) = 13.50

Sarah should not join the Mug Club.

The two costs are equal when ...

  y = y

  8 +1.25x = 2.25x

  8 = x . . . . . . . . . . . . . subtract 1.25x from both sides

  y = 2.25(8) = 18

The costs are equal at $18 if you buy 8 cups of coffee.

Mug Club is the better deal if you buy more than 8 cups.

We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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the value of variable x is 1.5 units. The answer is option 1.

In mathematics, a ratio is a comparison between two numbers or quantities. It is expressed as the quotient or division of one number by another. Ratios can be written in several ways, including as a fraction, with a colon, or as a decimal.

by cross-multiplying the given ratio:

x/8 = y/16

Multiplying both sides by 16, we get:

16x/8 = y

Simplifying, we get:

2x = y

Now, we can substitute y = 3 units into the equation above to find x:

2x = 3

Dividing both sides by 2, we get:

x = 3/2 = 1.5

Therefore, the value of x is 1.5 units. The answer is option 1.

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The complete question is;

Ethan writes the ratio x/8=y/16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x?

Pick one of the choices below.

1. 1.5

2. 3/16

3. 6

4. 0.5

Answer:

Step-by-step explanation:

45

The formula to calculate the geometric mean of two numbers is the square root of their product.

So in this case, the geometric mean can be calculated as follows:

Geometric Mean = √(8 * 12) = √96 = 10

The growth factors for the population of Chattanooga in the past two years have a geometric mean of 10.

The geometric mean is a measure of central tendency that is used to describe the average growth rate of a set of numbers. It is especially useful when working with data that represents exponential growth or decay, such as population growth or the rate of return on an investment. Unlike the arithmetic mean, the geometric mean takes into account both the size and the direction of growth. This makes it a better measure of central tendency for data that is not symmetrically distributed.

In the case of population growth, the geometric mean can be used to determine the average annual growth rate over a given period of time. For example, if the population of a city grows by 8% in one year and then by 12% the following year, the average annual growth rate over the two years can be estimated using the geometric mean.

It is important to note that the geometric mean is always smaller than the arithmetic mean for the same set of numbers, and it can be a better representation of the underlying growth trend in some cases.

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Answer: 16 meters

Step-by-step explanation:

1 cm         4cm

--------    =  ---------

4m             16m

Answer:

-20

Step-by-step explanation:

the slope is 2

2*30 = 60

40 - 60 = -20

One bagel costs 155 cents.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of one bagel

y = cost of one toast

z = cost of one muffin

If two pieces of toast and a bagel costs $3.15, then 2y + x = 3.15.

2y + x = 3.15   ⇒   x = 3.15 - 2y     (equation 1)

If a bagel and a muffin costs $3.30, then x + z = 3.30.

x + z = 3.30     (equation 2)

Substitute equation 1 to equation 2.

x + z = 3.30     (equation 2)

3.15 - 2y + z = 3.30   ⇒   z = 0.15 + 2y      (equation 3)

If a piece of toast, two bagels, and three muffins costs $9.15, then

y + 2x + 3z = 9.15     (equation 4)

Substitute equations 1 and 3 to equation 4.

y + 2x + 3z = 9.15     (equation 4)

y + 2(3.15 - 2y) + 3(0.15 + 2y) = 9.15

y + 6.30 - 4y + 0.45 + 6y = 9.15

3y = 2.4

y = 0.8

Substitute the value of y to equation 1.

x = 3.15 - 2y     (equation 1)

x = 3.15 - 2(0.8)

x = 1.55

Hence, the cost of one bagel is $1.55 or 155 cents.

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Answer:

Angle A is 30

Angle B is 150

Step-by-step explanation:

So we have the supplementary angles A and B. In other words:

\(A+B=180\)

We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:

\(B=30+4A\)

We now have a system of equations. Solve by substitution of B into the first equation:

\(A+B=180\)

\(A+(30+4A)=180\)

Combine like terms:

\(5A+30=180\)

Subtract 30:

\(5A=150\)

Divide by 5:

\(A=30\)

So, Angle A is 30 degrees.

And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.

The rhombus method is a useful technique for constructing parallel lines, especially in geometry problems where creating accurate drawings is essential.

Constructing a parallel line through a point using the rhombus method involves the following steps:

1. Place the compass on point K and set its width slightly more than the distance to line PQ. The exact distance is not crucial.

2. Draw a wide arc from the right of K, crossing line PQ at two points. Label the left point J.

3. Without adjusting the compass opening, move the compass to point J and draw an arc across line PQ. Label this point E.

4. Keeping the compass width unchanged, move the compass to point E and draw an arc across the large arc to the right of K. Label this point S.

5. Draw a straight line through points K and S.

6. The line KS is now parallel to line PQ, as desired.

The rhombus method is a useful technique for constructing parallel lines, especially in geometry problems where creating accurate drawings is essential. The process relies on the compass's fixed width to ensure the angles and distances remain consistent, resulting in parallel lines.

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Answer:

You walked for 20 minutes and ran for 40 minutes

Step-by-step explanation:

System of Equations

Let x = the number of minutes you ran

y = the  number of minutes you walked

Walking and running takes a total of 60 minutes, thus:

\(x+y=60\qquad\qquad [1]\)

Running time is twice as much as walking time, thus:

\(x=2y\qquad\qquad [2]\)

Solve the system by substitution. Taking x from [2] and substitute in [1]:

2y+y=60

Simplifying:

3y=60

Solving:

y=60/3=20

Calculate x from [2]:

x=2*20=40

You walked for 20 minutes and ran for 40 minutes

Answer:

x=3

Step-by-step explanation:

it would go over the point 3,7 on the graph with a positive slope

The given inequality is solved to obtain as x ≥ 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality can be solved as follows,

4x - 5 ≥ 7

Subtract 7 from both sides to obtain,

4x - 5 - 7 ≥ 0

=> 4x - 12 ≥ 0

=> 4x ≥ 12

=> x ≥ 3

The graph for the given inequality is shown as below,    

Hence, the solution for the given inequality is x ≥ 3.

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The sum of (6a + 6) + (3.22x - 2) + (2a + 4) is 8a + 3.22x + 8

What is algebraic expression ?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

According to question

⇒ (6a + 6) + (3.22x - 2) + (2a + 4)

⇒ 6a + 6 + 3.22x - 2 + 2a + 4

⇒ 6a + 2a + 3.22x + 6 -2 +4

⇒ 8a + 3.22x + 8

hence, The sum of (6a + 6) + (3.22x - 2) + (2a + 4) = 8a + 3.22x + 8

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The appropriate test statistic for the hypothesis being tested and to compare the test statistic to a critical value from a distribution table.

An index that is calculated from sample data and whose value determines whether to accept or reject a null hypothesis is a test statistic.

A test statistic is used to determine the probability of obtaining the observed data under the null hypothesis.

If the test statistic falls within a specified range, the null hypothesis is accepted.

If the test statistic falls outside of the specified range, the null hypothesis is rejected.

The test statistic is calculated from the sample data and is based on the distribution of the sample data.

There are many different types of test statistics, each of which is used to test a different hypothesis.

Some common test statistics include the t-statistic, the F-statistic, and the chi-square statistic.
The t-statistic is used to test the difference between the means of two populations.

The F-statistic is used to test the equality of variances between two populations.

The chi-square statistic is used to test the independence of two categorical variables.
In order to calculate a test statistic, one must first formulate a null hypothesis and an alternative hypothesis.

The null hypothesis is the hypothesis that is assumed to be true, and the alternative hypothesis is the hypothesis that is being tested. The test statistic is then calculated from the sample data, and its value is compared to a critical value from a distribution table.

If the test statistic is greater than or equal to the critical value, the null hypothesis is rejected. If the test statistic is less than the critical value, the null hypothesis is accepted.
In conclusion, a test statistic is an index that is calculated from sample data and is used to determine whether to accept or reject a null hypothesis.

It is important to use the appropriate test statistic for the hypothesis being tested and to compare the test statistic to a critical value from a distribution table.

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The volume of the oblique rectangular prism is 216 m³.

How to calculate the volume of an oblique rectangular prism?

The volume of an oblique rectangular prism is given by the formula:

V = l * w * h

Where l  and w are the length and width of the base respectively, and h is the perpendicular distance between the bases

In this case, l = 7.5 m and w = 4.5 m

Using trig. ratio:

tan 65 = h/3

h = 3 * tan 65

h = 6.4 m

Thus,

V = 7.5 * 4.5 * 6.4

V = 216 m³

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Answer : x = 39

We are given the equation

x - 17 = 12

First, isolate the value of x

When you isolate the value of x, the figure 17 cross the equality sign and change to positive

x = 12 + 17

x = 39

Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

#95141404393

The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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