128.16÷1.2
128.16 / 1.2​

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

Answer:

Step-by-step explanation:

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 48. First we will calculate the prime factors of 36 and 48.

Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Prime Factorization of 48

Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:

48 = 24 × 31

Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 48.

LCM(36,48) = 24 × 32

LCM(36,48) = 144

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Factors of 48

List of positive integer factors of 48 that divides 36 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24

Greatest Common Factor Number

We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 48 is 12.

Answer:

the least is 144 the highest is 12

Step-by-step explanation:

Answer:

example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)

monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)

statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)

Step-by-step explanation:

Just Copy and Paste what I said^ 100% right

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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Answer:

36 members

Step-by-step explanation:

Given that:

Woodwind section = 1/4 of the total band

Members if woodwind section = 9

Total members of band (m) :

1/4 * m = 9

m/4 = 9

Multiply both sides by 4

m/4 * 4 = 9 * 4

m = 36

Total band members = 36

Answer:

i believe it is D side angle side

Step-by-step explanation:

Answer:

0.66

Step-by-step explanation:

The table is showing P(1), P(2), etc.

To find P(x>6) = P(7)+P(8)+P(9)+P(10)

= 0.09+0.17+0.19+0.21

= 0.26+0.40

= 0.66

The value of p is -3.

To rewrite the equation 2x² + 12x = -13 in the form 2(x - p)^2 + q = 0, we need to complete the square. Let's go through the steps:

2x² + 12x = -13

First, let's move the constant term to the right side:

2x² + 12x + 13 = 0

Next, divide the equation by the leading coefficient (2) to simplify:

x² + 6x + 6.5 = 0

To complete the square, we take half of the coefficient of x (6) and square it to get 9.

Then, we add and subtract 9 to the equation:

x² + 6x + 9 - 9 + 6.5 = 0

(x + 3)² - 3² + 6.5 = 0

(x + 3)² - 9 + 6.5 = 0

(x + 3)² - 2.5 = 0

Comparing this equation with 2(x - p)² + q = 0, we can see that p = -3 and q = -2.5.

Therefore, the value of p is -3.

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Answer:

Hello, I'm not sure what you mean by is 6/7 x 1/2 greater than less than or equal to. You might mean 6/7 compared to 1/2. I will edit my answer to what your looking for once you explain!

Answer:

3/7

Step-by-step explanation:

6/7*1/2=6/14=3/7

Answer: 8x, 7,

Step-by-step explanation: Terms are separated with an addition or subtraction sign.The terms for 8x + 7 - y are:8x, 7, - yHope this helps!

Answer:

• divide each ratio by 2 to its simplest terms up to the lowest factor of 2:

\(→ \: { \tt{32 :24 }} \\ \\ → \: { \tt{16 : 12}} \\ \\ → \: { \tt{8 : 6}} \\ \\ → \: { \tt{4 : 3}}\)

Answer:

look up because i dont know

Step-by-step explanation:

WU is the perpendicular bisector of TV and W is the midpoint of TV.

Statements:

WU is the perpendicular bisector of TV.

W is the midpoint of TV.

TW = VW.

∠ZTWU and ∠ZVWU are right angles.

∠ZTWU ≅ ∠LVWU.

WU = WU.

∠ATWU ≅ ∠AVWU.

TU = VU.

Reasons:

Given.

Definition of the perpendicular bisector: It divides a segment into two congruent parts, and W is the midpoint of TV.

Definition of midpoint: The segment TW is congruent to VW because W is the midpoint of TV.

Given that WU is the perpendicular bisector, it means that ∠ZTWU and ∠ZVWU are right angles.

All right angles are congruent.

Reflexive property of congruence: Any segment or angle is congruent to itself.

Corresponding parts of congruent triangles are congruent (CPCTC): Since ∠ATWU and ∠AVWU are corresponding parts of congruent triangles, they are congruent.

Corresponding parts of congruent triangles are congruent (CPCTC): Since TU and VU are corresponding parts of congruent triangles, they are congruent.

Therefore, the correct statements and reasons are:

Statements:

WU is the perpendicular bisector of TV.

W is the midpoint of TV.

TW = VW.

∠ZTWU and ∠ZVWU are right angles.

∠ZTWU ≅ ∠LVWU.

WU = WU.

∠ATWU ≅ ∠AVWU.

TU = VU.

Reasons:

Given.

Definition of the perpendicular bisector.

Definition of midpoint.

Given.

All right angles are congruent.

Reflexive property of congruence.

CPCTC.

CPCTC.

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Answer:

a) 2

b) 2x, -13

c) 2, -13

Step-by-step explanation:

Term means mathematical equations that are separated by arithmetic symbols like (+,-,x,/).

For example, there is 2 terms in the following example because there is two values separated by arithmetic symbols: 3x+5.

More examples of terms: 7, 5x, x, \(7x^2\), \(x^2\)

Coefficient means the value that you multiply the variable by. The coefficient in the variable: 5x is 5 because you are multiplying x by 5.

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

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

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.

A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.

Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.

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Complete question

How can polygons be considered a subcategory of two-dimensional figures?

The missing parameters of the regular polygons are listed below:

Case 1: θ = 45°, a = 10.864 cm

Case 2: θ = 72°, s = 5.812 cm

In this problem we must determine missing parameters of regular polygons, that is, polygons with sides of equal length. All parameters are summarized below:

Central angle

θ = 360 / n

Relationship between apothema and side length

a = s / [2 · tan (180 / n)]

Where:

Now we proceed to find missing parameters:

Case 1: s = 9 cm, n = 8

θ = 360 / 8

θ = 45°

a = (9 cm) / [2 · tan (180 / 8)]

a = 10.864 cm

Case 2: a = 8 cm, n = 5

θ = 360 / 5

θ = 72°

s = 2 · a · tan (180 / n)

s = 2 · (8 cm) · tan (180 / 5)

s = 5.812 cm

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The following is an equation fo curve if it passes through the point (-2,3) is  y=2 x^2-x-7.

What is Slope?

A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

Slope of the carne at (x, y) is 4 x-1

Let the curve is: y=2 x^2-x-7

\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)

And passes Iowa's the point (-2,3).

\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)

Satisfied.

y=2 x^2-x-7

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Answer:

The expression for the balance at the beginning of the month is $45.14.

Step-by-step explanation:

Let's call the balance at the beginning of the month "B". We know that the balance at the end of the month is $72.31, and we made two deposits of $10.18 and $16.99. Therefore, we can write the following equation:

B + 10.18 + 16.99 = 72.31

To solve for B, we need to isolate it on one side of the equation. We can start by combining the two deposit amounts:

B + 27.17 = 72.31

Next, we can subtract 27.17 from both sides of the equation:

B = 45.14

Therefore, the expression for the balance at the beginning of the month is B = $45.14.

Answer:

I guess it is $105.Not so sure about my answer...

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Answer:

325

Step-by-step explanation:

i dont know

The probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

Here, we have to solve the question:

To calculate the probability that a randomly selected part-time student has a gym membership, we need to use conditional probability. Specifically, we need to use Bayes' theorem

P(Gym Membership | Part-Time) = P(Part-Time | Gym Membership) * P(Gym Membership) / P(Part-Time)

Where:

P(Gym Membership | Part-Time) is the probability that a student has a gym membership given that they are part-time.

P(Part-Time | Gym Membership) is the probability that a student is part-time given that they have a gym membership.

P(Gym Membership) is the overall probability of a student having a gym membership (regardless of whether they are full-time or part-time).

P(Part-Time) is the overall probability of a student being part-time (regardless of whether they have a gym membership).

Let's start by filling in the values we know from the table:

P(Part-Time) = (40 + 25) / 155 = 0.5484

P(Gym Membership) = (30 + 25) / 155 = 0.3226

P(Part-Time | Gym Membership) = 25 / (30 + 25) = 0.4545

To find P(Gym Membership | Part-Time), we need to calculate P(Part-Time and Gym Membership). We can use the formula:

P(Part-Time and Gym Membership) = P(Part-Time | Gym Membership) * P(Gym Membership)

Plugging in the values we know, we get:

P(Part-Time and Gym Membership) = 0.4545 * 0.3226 = 0.1463

Now we can use this value, along with P(Part-Time) and P(Gym Membership), to calculate P(Gym Membership | Part-Time):

P(Gym Membership | Part-Time) = 0.1463 / 0.5484 ≈ 0.2667

Therefore, the probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

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complete question:

a group of 155 students at a private university were asked if they are full-time or part-time and if they have gym memberships. the results are shown in the table below. given that a randomly selected survey participant is part-time, what is the probability that this student has a gym membership?

Answer:

13

Step-by-step explanation:

2+1=21-13=13

Inequalities are used to represent unequal expressions.

The inequality that represents the situation is \(p \ge 150\)

The amount Celia has is at least $150.

The term "at least" in inequalities means "greater than or equal to"

So, the inequality would be:

\(p \ge 150\)

Hence, the inequality that represents the situation is \(p \ge 150\)

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Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1