9y − 3xy² − 4 +x
a) Give the
coefficient of y²?

b) Give the constant value of the expression

c) How many terms are there in the expression

Step-by-step explanation:

By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.

In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:

△ABC ∼ △AEC

This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).

So, we can write the similarity statement as:

△ABC ~ △AEC

Answer:

$35

Step-by-step explanation:

This is very easy.

90 / 36 = 2.5

2.5 * 14 = $35

Therefore your answer is $35

Answer:

Step-by-step explanation: the answer is 5

Answer:

64/7

Step-by-step explanation:

multiply -16 by -4

The hip breadth for males that separates the smallest 99% from the largest 1% is determined to be 17.03 inches using the Z-score formula and percentile calculations.

According to the question, the engineers want to design seats in commercial aircraft that can accommodate at least 99% of all males. The mean and standard deviation of male hip breadth are 14.9 in. and 1.1 in., respectively.

To determine P99, we need to find the hip breadth for males that separates the smallest 99% from the largest 1%. The value of P99 can be determined using the Z-score formula, which is given by Z = (X - μ)/σ where X is the raw score, μ is the mean, σ is the standard deviation and Z is the standard score.

Since we are looking for the hip breadth for males that separates the smallest 99% from the largest 1%, we need to find the Z-score for the 99th percentile.

Using a Z-score table, we can find that the Z-score for the 99th percentile is 2.33. Substituting the given values into the Z-score formula, we get 2.33 = (X - 14.9)/1.1. Solving for X, we get:X = 2.33(1.1) + 14.9 = 17.03 inches

Therefore, the hip breadth for men that separates the smallest 99% from the largest 1% is 17.03 inches.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

the answer would be 0.1733

Answer:

  \(0.17\overline{3}\)

Step-by-step explanation:

This fraction has a repeating decimal equivalent:

  \(\boxed{0.17\overline{3}}\)

The digit 3 repeats indefinitely.

Answer:

The numbers less that 40 which have sum of digits 8 are 17, 26, 35.

Only one of those that has a factor of 7. And that is 35.

So you are 35.

Second way:

The numbers less that 40 which have a factor of 7 are 7,14,21,28,35

Only one of those which has sum of digits as 8. And that is 35.

So you are 35.

Step-by-step explanation:

Answer:

The answer is 1, 2, and 3 only

Step-by-step explanation:

Math

Way

The equations which have slope 1/4:

ii.  (y - 3.5) = 0.25(x - 2.75)

iii.  5x - 20y = 32

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope.

I. y = x - 5 is in slope-intercept form, so we can see that its slope is 1.

II. (y - 3.5) = 0.25(x - 2.75) can be rewritten in slope-intercept form as y = 0.25x + 2.1875. Therefore, its slope is 0.25 or 1/4.

III. 5x - 20y = 32 can be rewritten in slope-intercept form as y = (1/4)x - (4/5). Therefore, its slope is 1/4.

IV. 5x + 20y = 32 can be rewritten in slope-intercept form as y = (-1/4)x + (4/5). Therefore, its slope is -1/4.

So, only equations II, and III have a slope of 1/4.

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Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the simplified expression is 11xy + 4x²t.

Answer:

Step-by-step explanation:

Step 1:

Step 2:

Final result:

Answer:

P=78,56 If something is not clear to you, just ask, I will be happy to help :)

Step-by-step explanation:

To calculate the total area of a figure, you divide it into several shapes.

P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.

P1=a*b

P1=8*6

P1=48

P2=a*b

P2=3*2

P2=6

P3=a*b

P3=4*2

P3=8

P4=\(a^{2}\)

P4=\(2^{2}\)

P4=4

P5=\(\frac{1}{4} * r^{2} *\pi\)

P5 = \(\frac{1}{4} * 4^{2} * \pi\)

P5 =4\(\pi\) or approximately 12,56

P = P1+P2+P3+P4+P5

P = 48+6+8+4+12,56

P=78,56

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above3\)

                      If two lines are perpendicular to each other, their slopes

                     are negative inverses of each other.

                     Thus,

                    \(\boldsymbol{\sf{Slope\:of\:this\:line=4}}}\)

                    \(\boldsymbol{\sf{Negative \ Inverse=-\displaystyle\frac{1}{4}}}\). See how this works?

                    We took 4, then took its opposite, and flopped that over

\(\orange\hspace{300pt}\above3\)

Definition-:

Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.

Answer:

A. x < 3

B. X > 9

c. x < 1

d. x < -2

Step-by-step explanation:

For A. 2x+1 < 7

First, subtract 1 from both sides

Then, we will get

2x+1 -1 < 7 - 1

2x < 6

Now, divide both sides by 2

2x / 2 < 6/2

x < 3

For B. X-5 >4

Add 5 to both sides,

Then, we will get

X -5 +5 > 4 + 5

X > 9

For c. 2x+3 <5

Subtract 3 from both sides

2x +3 -3 < 5 - 3

2x < 2

Divide both sides by 2

2x / 2 < 2/2

x < 1

For d. 2x-3 x >2

First, evaluate 2x -3x

2x -3x = -x

Then, 2x-3 x >2  becomes

-x > 2

Now, divide both sides by -1

-x/-1  > 2/-1

x < -2

(NOTE: The sign changes when you divide or multiply by a negative sign)

Answer:

14

Step-by-step explanation:

Multiply 7 and 6, then 7 and -4: 42-28=?

Subtract: 42-28=14

The number of green marbles is 3

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

to determine the number of green:

If Ed draws 12 marbles out of the bag with replacement,

The probability of drawing a green marble on any given draw is

P(Green) = 6/24

= 1/4.

In a selection of 24 marbles, we have the expected value to be

E(X) = np

Where

n = 12 and p = 1/4

So, we have

= 12 * 1/4

= 3

Hence, we can predict that Ed should draw 3 green marbles out of the 12 marbles drawn

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Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30

f(0) = -3

I believe, since the graph has a closed circle/point at (0,-3), f(0) should equal -3. Also, the graph 3x-3 has a domain of x>=0.

However, in terms of limits, the limit approaching x-->0 does not exist since the left and right limits do not equal one another.

Hope this helps.

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Answer:

23

Step-by-step explanation:

9 + 2(4 + 3)

9 + ((2 * 4) + (2 * 3))

9 + (8 + 6)

9 + 14

23

Step-by-step explanation:    

Calculate within parentheses (4+3) : 7

\(=9+2\cdot \:7\)

Multiply and divide (left to right) 2 . 7 : 14

\(=9+14\)

Add and subtract (left to right) 9 + 14: 23

ANSWER: \(=23\)

Explanation in words (Short Form)

-  The first step is to calculate within parentheses and the answer will result as 23

- The second step is to add and subtract so 9+14 = 23.

- The third step is to find the answer which is 23

Answer:  

23

Hope this helps.

Answer:

C is the correct answer to your question

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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We can write the scale factor for the table as {K} = y/x.

Given is to determine the scale for the given table.

Therefore, we can write the scale factor for the table as {K} = y/x.

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A. There are\(\boxed{3}\)vertices of degree 5.

B. the two vertices of the same degree are \(\boxed{2}.\)

A. Let a, b, c, and d be the number of vertices of degree 1, 3, 5, and 6, respectively. We have the following system of equations based on the given information:

\(a + b + c + d &= 21 \ a + 3b + 5c + 6d &= 2 \cdot 21 - 15 = 27 \ d &= 1 \c &= ?\end{align*}\)

The second equation comes from the handshaking lemma, which states that the sum of the degrees of the vertices in a graph is equal to twice the number of edges. Since this is a tree, it has n-1 edges, where n is the number of vertices. We know that there are 15 leaves, which are vertices of degree 1, so the sum of the degrees of the other vertices is 2(21-15)=12. We also know that there is one vertex of degree 6, so d=1.

Solving for c, we get c=3. Therefore, there are\(\boxed{3}\)vertices of degree 5.

B. Let a, b, c, d, e, f, and g be the number of vertices of degree 2, 4, 5, 6, x, and leaves, respectively. We have the following system of equations based on the given information:

\(a + b + c + d + e + f + g\)

&= \(35 \ 2a + 4b + 5c + 6d + xe + g &= 2 \cdot 35 - 2 - 3 \cdot 4 - 5 - 6 \cdot 2 = 10 + xe \x &\geq 2 \x &= ?\end{align*}\)

The second equation comes from the handshaking lemma, and we use the given information to find the total sum of degrees. We also know that \(x\geq 2\), since the graph contains at least two vertices of degree x.

Since \(g=25\), we have a =\(35 - 25 - b - c - d - e - f = 10 - b - c - d - e - f.\)Substituting this into the second equation, we get \(2(10-b-c-d-e-f)+4b+5c+6d+xe+25=10+xe\), which simplifies to \(b+3c+4d+xe=7-2e.\)

Since b, c, d, e, and f are all non-negative integers, we see that x=2 is the only possibility. This is because if \(x\geq 3\), then the left side of the equation \(b+3c+4d+xe=7-2e\) would be at least 7, but the right side is at most 5, a contradiction. Therefore, the two vertices of the same degree are \(\boxed{2}.\)

C. Let a, b, c, and d be the number of vertices of degree 2, 3, 4, and 5, respectively. We have the following system of equations based on the given information:

\(a + b + c + d &= 50 \ a + 2b + 3c + 4d + 5d &= 2 \cdot 50 - 1 = 99 \\end\)

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Answer:

Step-by-step explanation:

step one:

Given that she buys at the rate of  $5.50 per t-shirt

And she also bought 6 more chains than T-shirts at $3.25 per Keychain

step two:

The expression represents the total cost of the purchases Made by Mary

step three:

we can write the expression for the total cost as

C= 5.50+3.25( 6)

by further simplifying we have

C= 5.50+19.5

C=$25

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

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Answer:

30?

Step-by-step explanation:

I think its 30 because 15*2 is 30 but I really don't know im sorry

Mathpapa

Step-by-step explanation:

The link above should give you the answer. If the link that you click on does not work, then you can look up mathpapa on your computer and type this math equation in. I am terrible at math, but I figured I could give you my mathematical calculator. I hope that helps you!