The inequality -15<-6 is given. Perform the given operation, then write a true
inequality to match the result.
Multiply both sides of the inequality by
-1/2

Answer:

36

Step-by-step explanation:

2(10)+4^2

20+4^2

20+16

36

Answer: The result of the math formula =2*10+4^2 is 28.

To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.

Answer:

\(y=-\frac{2}{3}x+12\)

Step-by-step explanation:

Step 1: Rule out answers

The answer cannot be B or D because the y-intercept is at 12(b = 12) and in a linear equation y=mx+b, b is the y intercept.

B has the y intercept at 18

D has the y intercept at 18

Step 2: Find the slope

The slop is the change in y over the change in x.  We can also write this as \(\frac{rise}{run}\)

We see it lowers by 2 so we will put -2 as the numerator

We also the x value increase by 3 every time it gets lowered by 2 so the run is 3

Therefore the slope is \(-\frac{2}{3}\)

Step 3: Plug in the the variables to get the linear equation

\(y=mx+b\)

\(y=-\frac{2}{3}x+12\)

Therefore the answer is A. \(y=-\frac{2}{3}x+12\)

Answer:

\(\Large \boxed{{y=-\frac{2}{3}x +12}}\)

Step-by-step explanation:

y = mx + b (slope-intercept form of a line)

m is slope

b is y-intercept

The y-intercept of the line is (0, 12) or 12.

y = mx + 12

The slope of the line can be found through rise over run.

(0, 12) and (18, 0) are two points on the line.

m = (y2-y1)/(x2-x1)

m = (0-12)/(18-0)

m = -12/18

m = -2/3

The slope of the line is -2/3.

y = -2/3x + 12

Answer:

-4

Step-by-step explanation:

-5x-10=10

add 10 to -10 to get rid of it, and to 10 because whatever you do to one side, you have to do to the other

-5x=20

divide -5 into 20

x = -4

1. 9 cans of white paint will she need to mix with 6 cans of blue

2. The rate of white to blue is 9 : 6.

3. The unit rate is 3/2.

Given:

Anne must add 3 cans of white paint to every 2 cans of blue paint.

So, the ratio of white to blue = 3:2

and, for 6 cans of blue paint the white paint needed

= 6 x 3/2

= 3x 3

= 9 cans

2. The rate of white to blue is 9 : 6.

3. The unit rate is 3/2.

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Answer:

Step-by-step explanation:

x^2 + x + 1 - 2x + 5

x^2 - x + 6

A binomial probability density function should be used to represent the probability

The given parameters are:

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

When there are two possible events, then the binomial probability density function should be used

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To minimize the total area of an equilateral triangle and square, the side length of the square should be 2.167 and the side length of the triangle should be 3.833.

To find the dimensions that minimize the total area, we can set up equations based on the given information. Let's denote the side length of the square as 's' and the side length of the equilateral triangle as 't'. The perimeter of the square is 4s, and the perimeter of the equilateral triangle is 3t. Given that the combined perimeter is 13, we have the equation 4s + 3t = 13.

To minimize the total area, we need to consider the formulas for the areas of the square and equilateral triangle. The area of the square is given by A_square = \(s^2\), and the area of the equilateral triangle is given by A_triangle = (\(\sqrt{(3)}\)/4) *\(t^2\).

To find the values that minimize the total area, we can substitute s = (13 - 3t)/4 into the equation for A_square and solve for t. By finding the derivative of the total area with respect to t and setting it equal to zero, we can find the value of t that minimizes the area.

Similarly, to find the dimensions that maximize the total area, we follow the same process but this time maximize the total area by finding the value of t that maximizes the area.

Performing the calculations, we find that to minimize the total area, the side length of the square is approximately 2.167 and the side length of the triangle is approximately 3.833. To maximize the total area, the side length of the square is approximately 4.333 and the side length of the triangle is approximately 1.667.

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Answer:

2. C

3. C

Step-by-step explanation:

I'm not too sure what number 1 is about but I know that for number 2, its 12/5 and for number 3, its 0.

Answer:

b = 6

Step-by-step explanation:

7b - 15 = 5b - 3

7b = 5b + 12               Add 15 to both sides

2b = 12                       Subtract 5b from both sides

b = 6                           Divide 2 from both sides

Answer:

\(b = 6\)

Step-by-step explanation:

1.) We need to manipulate the equation to get b by itself.

2.) ​ Subtract 5b from each side. Combine like terms. Add 15 to each side. Combine like terms. Divide each side by 2. Simplify.

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

Answer:

2/27

Step-by-step explanation:

(2/3)/9 to divide fractions

2 9

-- ÷ ---- keep change flip

3 1

2 1

--- × ---- now multiply as normal

3 9

2/27

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

he will have the money in 9 weeks

99+10+10+10+10+10+10+10+10+10=189

Answer: It'll take Chris 9 weeks to have enough money to buy the new bike. w = 9

Step-by-step explanation:

Hey there! If you have any questions please feel free to ask them in the comments.

We can write down the formula for this problem as:

$189 = $99 + $10w

$189 is the total amount of money Chris needs, and $99 is the amount of money Chris already has. $10w would be $10 per week in which Chris will have enough money to buy the new bike.

Steps: Solve for W

$189 - $99 = $99 - $99 + $10w

$90 = 0 + $10w

$90 = $10w

\(\frac{90}{10}\) = \(\frac{10w}{10}\)

\(\frac{90}{10}\) = w

9 = w

Answer: w = 9

~I hope I helped you :)~

TheThe AVL tree built from the given values (which are 35, 49, 22, 27, 64, 60)  is identified as an alpha node at value 49.

To build an AVL tree, we start by inserting the values in the order given: 35, 49, 22, 27, 64, 60. As we insert the values, the AVL tree automatically balances itself to maintain the AVL property. After inserting all the values, the resulting AVL tree would have nodes for each value.

Among these values, the alpha node is identified as the node with the value 49. The alpha node is a special node in the AVL tree that may require additional balancing operations to maintain the balance factor. In this case, the value 49 is identified as the alpha node in the constructed AVL tree.

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Answer:

a(5+b)

5a+ab

Step-by-step explanation:

Answer:

5a + ab

Step-by-step explanation:

a(5 + b)

Times a by 5 and by b

5a + ab

Answer:c

Step-by-step explanation:

Answer:

x=100

Step-by-step explanation:

If you look at it, x has the same space and angle as 100*, so the third option would be correct.

i do know the answewr and it is b because the irrational product is negative 6

Answer:

121.92

Step-by-step explanation:

There's 121.92 centimeters in 4 feet.

Hope this helps! :^)

The area of the walkway around swimming pool is 78 square feet.

The outer sides of the walkway will have a length of 12 feet and the breadth will be 11 feet.

The area of the pool along without the walkway will be 12 X 11 = 132 square feet.

The outer sides of the walkway will have a length of 15 feet and the breadth will be 14 feet after the owner create the walkway.

The area of the pool along with the walkway will be 15 X 14 = 210 square feet.

Therefore ,

area of the walkway will be:-

= 210 - 132

= 78 square feet.

so, the area of the walkway around swimming pool is 78 square feet.

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well, 1.6m:3.6m, so then for 9m, we would divide 1.6 by 3.6, which is 0.444444... So, we multiply 9 by 0.444444, which is 3.9999996. We can round this to 4, so 9m:4m. The 9m tall tree casts a shadow of 4m.

The tree casting a shadow of 9 meters is actually 20.25 meters in height.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The information's given that a parking meter that is 1.6m tall costs a shadow of 3.6m long. at the same time, a tree costs a shadow 9m long.

The height of the sign that casts a shadow of 1.6 meters is = 3.6

Then the height of the tree that casts a shadow of 9 meters

= (3.6/1.6) x 9 meters

= 20.25 meters

Therefore, the height is actually 20.25 meters.

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The matrix a will have two distinct eigenvalues when a ≠ c or when b ≠ 0.

To find the conditions under which the matrix a has two distinct eigenvalues, we need to consider the eigenvalue equation a - λI = 0, where λ is an eigenvalue and I is the identity matrix. The determinant of this equation gives us the characteristic polynomial, which we can solve to find the eigenvalues.

The characteristic polynomial is given by det(a - λI) = (a - λ)(c - λ) - b² = λ² - (a + c)λ + ac - b². For the matrix to have two distinct eigenvalues, the discriminant of this quadratic equation, (a + c)^2 - 4(ac - b²), must be greater than zero.

Expanding the discriminant, we get (a²+ 2ac + c²) - 4ac + 4b² = a² - 2ac + c² + 4b². Simplifying further, we have (a - c)² + 4b² > 0.

Since a and c are nonzero constants, the expression (a - c)² will always be positive. Therefore, for the matrix a to have two distinct eigenvalues, we need the term 4b² to be greater than zero, which implies that b ≠ 0.

In summary, the matrix a will have two distinct eigenvalues when a ≠ c (or equivalently, a - c ≠ 0) and when b ≠ 0. These conditions ensure that the discriminant of the characteristic polynomial is positive, indicating the presence of two distinct eigenvalues.

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Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it  goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

Answer:

1) 4

2) 12

3)AB

Step-by-step explanation:

1) AC is 8, and since it bisects it is cut in 2

2) With the Pythagorean theorem, we know that side a² x side b² = side c²

so 4² x 9² = c² aka 16x9 = 144

square root bla bla, 12

3) as explained in 1) , it got cut into two, so AB = BC

Answer:

A

Step-by-step explanation:

We are given the function g(x) = -2x +5

If we need an output of -5, then:

-5 = -2x + 5

-10 = -2x

x = 5

A

Answer:

a. 5

Step-by-step explanation:

We can solve this by simply guessing and checking; plugging in each answer until we get -5.

a) -2(5) + 5

-10 + 5

-5

We can also set the function equal to -5 and solve for x.

-2x + 5 = -5

-2x = -10

x = 5

Using the normal distribution, it is found that:

A. There is a 0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

B. 81.85% of students scores are between 69 and 78.

C. The student scored in the 99.87th percentile.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, as:

\(\mu = 75, \sigma = 3\).

Item a:

The probability is one subtracted by the p-value of Z when X = 81, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{81 - 75}{3}\)

Z = 2.

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

0.0228 = 2.28% probability that a randomly selected score is greater than 81 points.

Item b:

The proportion is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 69, hence:

X = 78:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 75}{3}\)

Z = 1.

Z = 1 has a p-value of 0.8413.

X = 69:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{69 - 75}{3}\)

Z = -2.

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

81.85% of students scores are between 69 and 78.

Item c:

The percentile is the p-value of Z when X = 84, multiplied by 100, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{84- 75}{3}\)

Z = 3.

Z = 3 has a p-value of 0.9987.

The student scored in the 99.87th percentile.

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Answer:

4.75

Step-by-step explanation:

Area:3²π÷4-2×2÷2=4.75

If a group consists of 3 men and 2 women, what is the probability that all the men end up sitting next to each other is 60%.

The first step in understanding the probability that the set of 3 men will end up sitting next to each other, we have to determine the number of seating arrangements and divide by the likely number of seating arrangements. Like this:

Then, based on this data, we can build our permutation, which will be:

Therefore, the probability found for the set of men to sit next to each other is 0.6 or 60%.

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The approximate surface area of this wheel of cheese is 437.6 square inches.

As per the given data, a wheel of cheese has a radius of 7 inches.

Radius r = 7 inches.

Also, a wheel of cheese has a height of 3 inches.

Height h = 3 inches

Also, given to consider the value of pi as 3.14.

π = 3.14

Here we have to determine the total surface area (TSA)of the wheel of cheese.

Since the cheese is a cylinder shaped thing.

The formula for the total surface area (TSA) of the wheel:

TSA = 2πr (r + h)

Substituting the values of the variables into the formula, we have

= 2 (3.14)(7)(7 + 3)

= 2 (21.88)(10)

= 2 (218.8)

= 437.6 square inches.

Therefore the total surface area is 437.6 square inches.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents