how do you multiply decimals like whats 6.8 times 1.6.

You can use the equation of the circle with center at (h,k) and the radius of f units.

The correct option for the given condition is

Option C: \((x-4)^2 + (y-5)^2 = 4\\\)

If a circle has center at (h,k) and radius is of r units, then its equation is given as

\((x-h)^2 + (y-k)^2 = r^2\)

Since the graphed circle has center at x = 4 and y = 5, thus we have

(h,k) = (x coordinate of center, y coordinate of center ) = (4,5)

And since the radius of the needed circle is needed to be of 2 units, thus,

r = 2 units

Using the above specified  formula, we get the equation of the needed circle as

\((x-h)^2 + (y-k)^2 = r^2\\(x-4)^2 + (y-5)^2 = 2^2 = 4\\\\(x-4)^2 + (y-5)^2 = 4\\\)

Thus,

The correct option for the given condition is

Option C: \((x-4)^2 + (y-5)^2 = 4\\\)

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

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15th row of the Pascal's Triangle is used to expand \((2x+10y)^{15}\). There will be 16 terms in the expansion.

Pascal's Triangle is used to find the co-efficient for binomial expansions.

The nth row of the Pascal's Triangle gives the coefficients in the expansion of binomial expressions of degree n. For example, in the expansion of \((x+y)^2\) , the binomial coefficients are 1,2,1 which is given in the 2nd row of Pascal's Triangle. Also the expansion has three terms, therefore. The Pascal triangle starts with 0th row consisting of only 1.

Here the given expression is \((2x+10y)^{15}\) of degree 15. So its binomial coefficient is given in the 15th row of Pascal's triangle.

The number of terms in the binomial expansion of degree n will be n+1 because the coefficients in nth row will n+1 in number.

Hence there will be 16 terms in the expansion of \((2x+10y)^{15}\).

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Answer:

The person above helped, and below I've attached a ss with all of the parts of this question answered - Hope it helps!

Step-by-step explanation:

Brainliest would be very much appreciated :) - hope you have a good day!

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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+400, +50, 50 - 400, 50 + (-400) = -350

+400, -120, -120 - 400, -120 + (-400) = -520

+400, -75 3/4, -75 3/4 - 400, -75 3/4 + (-400) = -475 3.4

-200, +610, 610 - (-200), 610 + 200 = 810

-200, -50, -50 - (-200), -50 + 200 = 150

-200, -500, -500 - (-200), -500 + 200 = -300

-200, 0, 0 + 200, 0 - (-200) = 200

-200, 120 1/2, 120 1/2 - (-200), 120 1/2 + 200 = 320 1/2

I think this might be the answer.

When the scale factor is greater than one, then the dilation is not a reduction.

What is a dilation?

Dilation is a process of changing a thing. It is a process of transformation that to make the objects smaller or larger, with the use of specific scale factor.

The new figure that is the result of dilation is known as the image. Initial figure is referred to as the pre-image.

What is a center of dilation?  

Center of dilation is the resizing that happens from a point. The objects/figures are expanded or contracted from the center of dilation.

Scale factor is a figure by which the size of any geometrical figure can be resized, with respect to its original size. The scale factor is multiplied to get image.

Figure size increased, when the scale factor is greater than 1.

Thus, the dilation will be a expansion, when the scale factor is a greater than one.

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Step-by-step explanation:

um, I'm going to use elimination method to solve this simultaneous equation

x+2y=-6.......... equation 1

6x+2y=4........ equation 2

subtract equation 2 from equation 1

-5x = -10

x = -10/-5

x=2

substitute x=2 in equation 1

therefore equation 1 becomes

2+2y=-6

2y=-6-2

2y=-8

y=-8/2

y=-4

The best measure of center for the data, and what is its value is: B. The median is the best measure of center, and it equals 3.

To determine the best measure of center for the given data, we need to consider the shape of the distribution. From the line plot, we can see that the data is skewed to the right, with a longer tail on the right-hand side.

In such cases, the median is generally considered to be the best measure of center because it is less affected by extreme values and is a better representation of the typical value in the dataset.

To find the median, we need to arrange the data in ascending order:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5

There are 15 observations in the dataset, so the median will be the average of the 8th and 9th observations:

Median = (3 + 3) / 2

Median = 3

Therefore, the best measure of center for the given data is the median, and its value is 3.

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Answer:

-9/ 11 ____-5/11 _____ - 2/11

Step-by-step explanation:

-2/11, -5/11, -9/11

All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.

Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :

-9/ 11 ____-5/11 _____ - 2/11

Any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible.

The minimal number such that any 3-by-3 matrix with of its entries equal to zero is non-invertible is 3. This can be calculated by finding the determinant of the matrix. The determinant is the sum of the products of the entries in the matrix, each multiplied by its corresponding minor. If a 3-by-3 matrix has 3 of its entries equal to zero, the determinant will be equal to 0, which means the matrix is non-invertible. To calculate the determinant of a 3-by-3 matrix, use the formula.

Where a, b, c, d, e, f, g, h, i are the entries of the matrix. If any 3 of those entries are equal to 0, the any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible determinate will be 0, meaning the matrix is non-invertible.

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The domain of the function is all real numbers and  range is  y ≥ -1.

Since the vertex is at (1,-1), the axis of symmetry is x = 1.

This means that the domain of the function is all real numbers.

To find the range, we need to consider the y-values of the graph. Since the vertex is the lowest point of the graph, the range must be all y-values greater than or equal to -1.

However, since the parabola opens upwards, there is no upper bound on the y-values.

Therefore, the range is given by y ≥ -1.

Hence, the domain of the function is all real numbers and  range is  y ≥ -1.

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In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.

This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).

Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.

Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.

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Answer:

four significant digits

Step-by-step explanation:

Answer:

A its the mos resonable one

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

we have, the opposite angles at the vertex have the same measure, therefore:

then,

and we have the sum of all 4 angles is equal to 360 and as I said before, the opposite angles by the vertex have equal measure, so:

answer: x = 2 and z = 104

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

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The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

what is freefall?

Height of jump = 13500ft

Height from which cord will be pulled = 5000ft

Freefall, d=13500-5000 =8500ft

Distance traveled during freefall, d=16t²

substituting values, we get,

8500=16t²

t=23.04 sec

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

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Answer:

C

Step-by-step explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer:

C

Step-by-step explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

\(y<\frac{1}{2}x-4\)

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)

Answer:

the answer

is b

i hope that helps

It's C.

Basically, when youre dividing something, the bases would stay the same but the exponents would change. For division, you'd have to substract the exponent of the denominator from the denominator (of like bases, of course)

In this case, it's 10^8-(-3).

The only reason it's not 10⁵ is because of the negative 3. If it were a positive 3, it would become 10⁵.

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

The value of the test statistic is -1.75.

To test the claim that the percentage of uninsured patients is under the expected percentage of 32%, we can use a one-sample z-test. The null hypothesis is that the true percentage of uninsured patients is equal to 32%, while the alternative hypothesis is that the true percentage is less than 32%.

Using the sample data, we can calculate the sample proportion of uninsured patients as 40/160 = 0.25. We can then calculate the standard error of the sample proportion as sqrt[(0.32 x 0.68)/160] = 0.0385.

The test statistic can be calculated as (0.25 - 0.32)/0.0385 = -1.75.

To find the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator to find the probability of a z-score less than -1.75. The p-value is approximately 0.04.

Since the p-value is less than the typical significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the percentage of uninsured patients is under the expected percentage of 32%.

Therefore, the correct answer is -1.75, which is the calculated value of the test statistic.

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Answer:

(a) 30 + Points = 50 so Points = 20

(b) 36 + Points = 50 so Points = 14

Step-by-step explanation:

To solve both parts a and b, you are asked to set up an addition problem and solve for the unknown. you are given the current points and the number of points you need to get there. your equation should look like the following:

(Point currently have) + (points still needed) = (total needed)

insert in your info:

(a) 30 + (points still needed) = 50

(b) 36 + (points still needed) = 50

rearrange to solve by subtracting the current points from the total points needed:

(a) points still needed = 50 - 30 = 20

(b) points still needed = 50 - 36 =14

HOPE THIS HELPS AND MAKES SENSE!!!

The proportion of cranberries required for the muffins is 4 pounds x 16 ounces/pound = 64 ounces of cranberries. Therefore, to make the muffins for the party, you will need 64 ounces of cranberries.

To calculate the amount of cranberries needed for the muffins at a party of 12 people, making 11/2-ounce muffins and assuming each person will have three muffins, we need to convert the measurements and quantities.

Given that each muffin weighs 11/2 ounces, and each person will have three muffins, we can calculate the total weight of muffins needed. 11/2 ounces is equivalent to 1.5 ounces, so each person will consume 1.5 ounces x 3 muffins = 4.5 ounces of muffins.

For a party of 12 people, the total amount of muffins required is 4.5 ounces/person x 12 people = 54 ounces of muffins.

Now, to determine the amount of cranberries needed for the muffins, we need to consider the recipe's proportion. The recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.

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Answer: 418.7

Step-by-step explanation:

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Answer:

There are 1,890 seats in the hall

Step-by-step explanation:

The number of seats in the first row = 20 seats

The number of rows in the hall = 35 rows

The number of additional seat per row = 2 Seat

Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35

The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;

Sₙ = n/2 × [2·a + (n  - 1)·d]

Plugging in the values, we get;

Sₙ = 35/2 × [2 × 25 + (35  - 1)×2] = 1890 seats

Therefore, there are 1,890 seats in the hall.