105% of what number is 21?

Answer:

See Below.

Step-by-step explanation:

Statements:                                      Reasons:

\(1)\text{ } \overline{MN} \parallel \overline{AO}\text{ and } \overline{AM} \parallel \overline{ON}\)              Given

\(2)\text{ } AMNO\text{ is a parallelogram}\)             Definition of a parallelogram

\(3)\text{ } \overline{AM}\cong\overline{ NO}\)                                     Opposite sides of a parallelogram are ≅.

\(4)\text{ } \overline{MN }\cong\overline{ OA}\)                                     Opposites sides of a parallelogram are ≅.

\(5)\text{ } \overline{AN}\cong\overline{AN}\)                                       Reflexive Property.

\(6)\text{ } \Delta AMN\cong \Delta NOA\)                          SSS Congruence.

Notes: AAA and SAA are not theorems of congruence.

The number of ways people arranged by photographer in a row as per the given situations are:

a. Bride and groom next to each other = 10080 ways

b. Bride and groom are not next to each other = 30240ways

c. Bride is sitting left of the groom =5040 ways

Number of people needs to be arranged by photographer = 8

Total number of ways 8 people can be arranged

= 8!

= 40320

a. The bride must be next to the groom

Let bride and groom to be consider as one pair

They can switch their possible among themselves

= 2!

Number of people to be arranged = 7!

Total number of ways when bride must be next to groom

= 7!2!

= 10080ways

b. The bride cannot be sit next to groom

= 40320 - 10080

= 30240

c. Bride is positioned to the left of the groom

= 7!

= 5040

Therefore, the number of ways photographer arranged the people as per the given conditions are:

a. Bride next to groom = 10080 ways

b. Bride cannot sit next to groom = 30240ways

c. Bride is left to the groom = 5040ways

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Answer:

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Step-by-step explanation:

We need to find Is EF and GH parallel.

If EF and GH are parallel, they have same slopes.

So, we will find slopes of EF and GH

The formula used is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Slope of EF

We have: E(2,5) and F(7,1)

So, \(x_1=2, y_1=5, x_2=7, y_2=1\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-5}{7-2}\\Slope=\frac{-4}{5}\\\)

So, slope of EF is \(\mathbf{\frac{-4}{5}}\)

Slope of GH

We have: G(2,-3) and F(-3,5)

So, \(x_1=2, y_1=-3, x_2=-3, y_2=5\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{-8-2}\\Slope=\frac{5+3}{-10}\\Slope=\frac{8}{-10}\\Slope=\frac{-4}{5}\)

So, slope of GH is \(\mathbf{\frac{-4}{5}}\)

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Answer:

3.36

Step-by-step explanation:

4.1 +6 +1.3+6.5 +1.6=16.8

16.8/5=3.36

In order to  get the answer you add everything up and then divide from the amount of numbers there are.

Lindsay's z - score, given the mean score, the standard deviation, and her score, is 2. 35.

To calculate a z-score, you subtract the mean from the individual score and then divide by the standard deviation.

The formula is:

z = (x - μ) / σ

Where

x is the individual score

μ is the mean

σ is the standard deviation.

So, to find Lindsay's z-score:

z = (98 - 78.2) / 8.4

z = 19.8 / 8.4

z = 2.35

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Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

could u vote me brainliest plz? thx :)

Answer:

11th term is -45x+56

Answer:

a_11 = -45x + 56

Step-by-step explanation:

An arithmetic sequence has a constant difference which can be found by subtracting a term from the next term.

constant difference = d = -9x + 11 - (-5x + 6)

d = -9x + 11 + 5x - 6

d = -4x + 5

The nth term of an arithmetic sequence is

a_n = a_1 + (n - 1)d

a_11 = a_1 + (11 - 1)(-4x + 5)

a_11 = -5x + 6 + 10(-4x + 5)

a_11 = -5x + 6 - 40x + 50

a_11 = -45x + 56

Answer: Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

Step-by-step explanation:

To calculate the correlation coefficient, r, we need to follow these steps:

Step 1: Calculate the sum of squares of age.

Step 2: Calculate the sum of squares for fundamental frequency.

Step 3: Calculate the sum of products between age and frequency.

Step 4: Compute the correlation coefficient, r.

Here are the calculations:

Step 1: Calculate the sum of squares of age.

2^2 + 2^2 + 2^2 + 6^2 + 9^2 + 10^2 + 13^2 + 10^2 + 14^2 + 14^2 + 12^2 + 7^2 + 11^2 + 11^2 + 14^2 + 20^2 = 1066

Step 2: Calculate the sum of squares for fundamental frequency.

840^2 + 670^2 + 580^2 + 470^2 + 540^2 + 660^2 + 510^2 + 520^2 + 500^2 + 480^2 + 400^2 + 650^2 + 460^2 + 500^2 + 580^2 + 500^2 = 1990600

Step 3: Calculate the sum of products between age and frequency.

2840 + 2670 + 2580 + 6470 + 9540 + 10660 + 13510 + 10520 + 14500 + 14480 + 12400 + 7650 + 11460 + 11500 + 14580 + 20500 = 190080

Step 4: Compute the correlation coefficient, r.

r = [nΣ(xy) - ΣxΣy] / [sqrt(nΣ(x^2) - (Σx)^2) * sqrt(nΣ(y^2) - (Σy)^2))]

where n is the number of observations, Σ is the sum, x is the age, y is the fundamental frequency, and xy is the product of x and y.

Using the values we calculated in steps 1-3, we get:

r = [16190080 - (106500)] / [sqrt(162066 - 106^2) * sqrt(161990600 - 500^2)]

= 0.877

Therefore, the correlation coefficient, r, is 0.877. This indicates a strong positive correlation between age and fundamental frequency in hyena giggles.

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Answer:

36 quarters and 60 nickels

Step-by-step explanation:

36*25=900

60*5=300

300+900=1200

Answer:

lemme grab your points while im at it <3

Step-by-step explanation:

Similar to inference techniques used in earlier chapters regarding sample sizes, the conditions that allow us to use the Chi-square test protect us from having expected counts that are too small.

When conducting a Chi-square test, we are comparing observed counts to expected counts, and if the expected counts are too small, we may not have enough data to accurately determine if the observed counts are significantly different from what we would expect by chance alone. Therefore, one of the assumptions of the Chi-square test is that the expected counts in each cell of the contingency table should be at least 5, although some researchers suggest that expected counts should be at least 10 to increase the accuracy of the test.

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Answer:

3.167 liters

Step-by-step explanation:

1 liter = 1,000 milliliters

3,167 milliliters * 1liter/1,000milliliters = 3.167 liters

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

\((x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)\)

Answer Marie will have saved enough in 11 weeks.

In the 6th week, Marie will not have enough money.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 32°

y = 17°

Step-by-step explanation:

Let's look at the bottom triangle since it has two angles.

62° + 75° = 137°

180° - 137° = 43°

The missing angle measure is 43°. Since the two angles make up a straight line,

(4x + 9)° + 43° = 180

4x + 52° = 180°

4x = 128°

x = 32°

The angle measuring 62° is a vertical angle so the angle opposite it is also 62°. The missing angle for that triangle would 40° because 180° - 140° = 40°.

62° + 40° = 102°

180° - 102° = 78°

(5y - 7)° = 78°

5y = 85°

y = 17°

Hope that helps.

Answer:

x^2-3/3x

Step-by-step explanation:

=x*x-1*3/3*x

=x^2-3/3x

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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The ratio of Vincent van Gogh's drawings to oil paintings during the last six years of his life can be represented in three different ways:
1. As a fraction: 700/800
2. As a simplified fraction: 7/8
3. As a ratio with a colon: 7:8

To express the ratio of Vincent van Gogh's drawings to oil paintings during the last six years of his life, we can use the given numbers: 700 drawings and 800 oil paintings.
1. As a fraction: To represent the ratio as a fraction, we simply place the number of drawings over the number of oil paintings:

700 drawings / 800 oil paintings

2. As a simplified fraction: To simplify the fraction, we can find the greatest common divisor (GCD) of the two numbers. In this case, the GCD of 700 and 800 is 100. We can then divide both the numerator (drawings) and the denominator (oil paintings) by 100:

=(700/100) / (800/100)
=7/8

The simplified fraction representing the ratio of drawings to oil paintings is 7/8.

3. As a ratio with a colon: To represent the ratio using a colon, we can simply use the numbers from the simplified fraction:
=7:8

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The breadth of the rectangle is 6 cm.

To find the breadth, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 × (length + breadth)

Substituting the given values, we get:

18 cm = 2 × (3 cm + breadth)

Simplifying the right side of the equation, we get:

18 cm = 6 cm + 2 × breadth

Subtracting 6 cm from both sides of the equation, we get:

12 cm = 2 × breadth

Dividing both sides by 2, we get:

breadth = 6 cm

Therefore, the breadth of the rectangle is 6 cm.

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Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

Answer:

The volume of a cylinder can be calculated using the formula:

V = πr^2h

Where r is the radius and h is the height. In this case, the volume is 500 ml, or 0.5 liters. To convert liters to cm, we can use the conversion factor 1 liter = 10 cm^3. Therefore, the height of the jug can be calculated as follows:

0.5 liters = 0.5 x 10 cm^3 = 500 cm^3

V = πr^2h

500 = π x (3 cm)^2 x h

h = 500 / (π x (3 cm)^2)

Approximating π as 3.14, we get:

h = 500 / (3.14 x (3 cm)^2)

h = 500 / (3.14 x 9 cm^2)

h = 500 / 28.26 cm^2

h = 17.67 cm

So the height of the cylindrical measuring jug is approximately 17.67 cm. Therefore, the distance between each marking, which represents 100 ml of volume, is 17.67 cm / 5 = 3.534 cm.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

To determine the distance between each of the markings, we need to determine the height of the jug for each 100 ml increment.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. We know the volume of the jug is 500 ml, or 0.5 liters, and the radius is 3 cm, so we can solve for the height:

0.5 liters = π * (3 cm)^2 * h

h = 0.5 liters / π * (3 cm)^2

h = 0.5 liters / 9π cm^2

Now that we have the height of the jug per 100 ml, we can divide it by 5 to determine the height between each marking:

Marking height = h / 5

= 0.5 liters / 9π cm^2 / 5

= 0.1 liters / 9π cm^2

So the distance between each of the markings is the height of the jug for each 100 ml increment divided by 5.

Neither of the pairs of linear equations has the same slope in both lines, so we don't have parallel lines.

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are parallel only if both lines have the same slope and a different y-intercept.

In this case, the lines given are:

y = x + 2 and y = 2.

x = 2 and y = 4

Neither of these are particularly parallel lines (because in both pairs we have different slopes), so we conclude that there is no correct option.

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Answer:

see below

Step-by-step explanation:

12. sqrt(15^2+12^2)=3sqrt(41) or around 19

13. 45 45 90 triangle means the hypotenuse is sqrt(2) times bigger, so it's 90sqrt(2) or around 127

14. 8 and 6 - divide by 2

4 and 3 - use pythagorean triple 3 4 5

multiply 5 and 2 to get to the hypotenuse being 10

subtract the original amount

8+6-10=4

15. sqrt(200+125^2)=25sqrt(89) or around 236

Answer:

see explanation

Step-by-step explanation:

assuming you require the measure of the numbered angles.

∠ 5 and 148° are vertically opposite angles and are congruent , so

∠ 5 = 148°

∠ 6 and 148° are a linear pair and sum to 180° , that is

∠ 6 + 148° = 180° ( subtract 148° from both sides )

∠ 6 = 32°

∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 32°

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , that is

∠ 3 + 32° = 180° ( subtract 32° from both sides )

∠ 3 = 148°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 148°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , so

∠ 2 + 148° = 180° ( subtract 148° from both sides )

∠ 2 = 32°

∠ 2 and ∠ 4 are vertically opposite angles and are congruent , then

∠ 4 = 32°

In summary

∠ 1 = 148° , ∠ 2 = 32° , ∠ 3 = 148° , ∠ 4 = 32° , ∠ 5 = 148° , ∠ 6 = 32° , ∠ 7 = 32°

The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

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Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.

Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird

Answer:

he paid $200

hope this helps you!

The graph of the linear function d = 12 - 3t, representing the distance the hiker is from the waterfall over that time period, is given at the end of the answer.

The slope-intercept representation of a linear function is given by the equation presented below:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

In this problem, the values of the parameters are given as follows:

Then the equation is:

y = 12 - 3x.

Which is graphed over the domain [0,3], as shown by the image at the end of the answer.

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Answer:

(134562/12)*145

11213,5*145

1.625.957,5

Answer:

1,625,957.5

Step-by-step explanation:

134562/12=11213.5

11213.5x145=1,625,957.5