117 63two adjacent angles form a resulting angle of 135°. ∠1=(2x)° and ∠2=(2x 7)°. what are the two unknown angles?(1 point)

Answer:

4

Step-by-step explanation:

as y goes up 4 x goes up 1. slope is change in y over change in x so the slope is 4/1 or just 4

166.25E + 4500 cells will be present in the sample after 5 days.

Given,

Cells 24% compounded continuously,

A sample of the virus has 125 cells.

To find:

No cells will be present in the sample after 5 days

Solution:

a = p ( 1 + r/n)nt

a = 125 ( 1 + 24/24)^24*5

a = 125(2)^120

a = 125 * 1.3292279957849E+36

a = 166.25E + 4500

166.25E + 4500 cells will be present in the sample after 5 days.

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The given statement "The misuse of statistics is sometimes intentional." is True, because there are instances where people intentionally misuse statistics to manipulate or deceive others.

The misuse of statistics can be an intentional act by individuals or organizations to manipulate or deceive others. This is often done by selectively choosing data or statistics that support a particular argument or position, while ignoring or downplaying information that does not support it.

One way this can be achieved is by distorting graphs or charts. For example, a bar chart can be designed to visually exaggerate the differences between data points, making the differences appear more significant than they actually are. This can be done by adjusting the scale of the chart or by changing the width of the bars.

Another way that statistics can be misused is by making false claims based on the data. For example, someone may use a correlation between two variables to imply a causal relationship, even though there may not be any evidence to support this claim.

Similarly, statistics can be used to mislead people by presenting them in a way that is misleading. For example, a statistic may be presented without any context or compared to an irrelevant baseline, making it appear more significant or less significant than it actually is.

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Answer:

answer it yourself LOL

Step-by-step explanation:

FIGURE IT OUT

Answer:

36CDs

Step-by-step explanation:

The number of CDs in Walter's collection can be represented by x. The number of CDs in Brian's collection is 3 times the number in Walter's collection.

Hence, Brian's collection = 3x

The total number of CDs in both collections is 144.

We have the Equation:

x + 3x = 144

4x = 144

x = 144/4

x = 36

Therefore, the number of CDs in Walter's collection is 36 CDs

Answer:

its 0.59

Step-by-step explanation:

Because if you divide 7.08 and 12 then you get the answer.

To prove that if R is a well-order on A, then R is a total order which has the least upper bound, and the greatest lower bound properties, we need to show the following:

R is a total order: For R to be a total order, it must satisfy three conditions: reflexivity, antisymmetry, and transitivity. Since R is a well-order on A, it already satisfies these conditions.

R has the least upper bound property: To prove that R has the least upper bound property, we need to show that for any non-empty subset S of A, there exists a least upper bound (supremum) of S in R.

Suppose S is a non-empty subset of A. Since R is a well-order on A, every non-empty subset of A has the least element.

Let x be the least element of S. Then, for any element y in S, we have x <= y.

Therefore, x is an upper bound of S. Moreover, x is the least upper bound of S in R, because if there were another upper bound z in R, we would have

x <= z and z <= x (by reflexivity and transitivity), which implies x = z.

R has the greatest lower bound property: To prove that R has the greatest lower bound property, we need to show that for any non-empty subset S of A, there exists a greatest lower bound (infimum) of S in R.

Suppose S is a non-empty subset of A. Since R is a well-order on A, every non-empty subset of A has the least element.

Let x be the greatest element of the set A\ S (complement of S in A). Then, for any element y in S, we have y <= x.

Therefore, x is a lower bound of S. Moreover, x is the greatest lower bound of S in R, because if there were another lower bound z in R, we would have z <= x and x <= z (by reflexivity and transitivity), which implies x = z.

Therefore, R is a total order which has the least upper bound, and the greatest lower bound properties if R is a well-order on A.

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If R is a well order on A, then it means that every non-empty subset of A has a least element under R. This implies that R is a total order, as for any two elements a, b in A, either aRb or bRa holds, and either a ≤ b or b ≤ a holds.

Now, for any non-empty subset S of A that has an upper bound, let B be the set of all upper bounds of S under R. Since B is a non-empty subset of A, it has a least element, which we call the least upper bound of S under R. This shows that R has the least upper bound property.

Similarly, for any non-empty subset S of A that has a lower bound, let B be the set of all lower bounds of S under R. Since B is a non-empty subset of A, it has a greatest element, which we call the greatest lower bound of S under R. This shows that R has the greatest lower bound property.

Therefore, we have shown that if R is a well order on A, then R is a total order which has the least upper bound, and the greatest lower bound properties.

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Not always. There are some situations where 2 lines have the same y-intercept, but have infinite solutions. But, most of the time, yes.

---

sorry if this doesn't help

Answer:

always two line will intersect only once. if they have the same y intercepts then that is their point of intersection. these lines are perpendicular because their slopes are negative reciprocals of each other. as can be seen on the graph, their only point of intersection is at the y intercept.

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a z-score or a standard score.

A z-score is a dimensionless quantity that represents the number of standard deviations an observation or data value is above or below the population mean. It is calculated by subtracting the mean from the observed value and then dividing the result by the standard deviation of the population. The resulting value is a measure of how far from the mean the observation falls, in terms of the standard deviation of the population.

Z-scores are useful in statistics because they allow us to compare observations or data values from different populations or distributions, even if they have different means and standard deviations. By converting each observation to a z-score, we can put them all on the same standardized scale, which makes it easier to compare and analyze them.

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_____The given question is incorrect, the correct question is given below:

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

The rational root theorem is used to determine the potential roots of a function.

The potential roots are: \(\mathbf{-10, -5, 3, 15}\)

The function is given as:

\(\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}\)

For a polynomial function:

\(\mathbf{P(x) = px^n +.............+ q}\)

The potential roots are:

\(\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}\)

The factors of 60 are:

\(\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}\)

The factor of 1 is:

\(\mathbf{1 = \pm 1}\)

So, we have:

\(\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}\)

\(\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}\)

The potential roots in the option are:

\(\mathbf{Factors= -10, -5, 3, 15}\)

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Answer: 6000 milligrams

Step-by-step explanation:

Multiply 6 by 1000

Answer:

Step-by-step explanation:

60

The probability of wearing a white shirt tomorrow is 1/3 according to the stated data.

It must be noted that probability of wearing the white shirt will remain same for each day based on the stated data. Now, calculating probability for wearing white shirt on any random day.

Probability = likelihood of events/total number of events

Likelihood of events = 6

Total number of events is the number of days considered

Keep the values in formula

Probability = 6/18

Simplifying the formed fraction

Probability = 1/3

Hence, the probability of wearing a white shirt tomorrow is 1/3.

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Answer:

C = F(0.20) + F

Step-by-step explanation:

C is the total cost. F(0.20) will reduce the value of the food to the tip amount required, and then adds the tip value to the price of the food, F.

Example inputs: let F be equal to 10
C = F(0.20) + F turns into C = 10(0.20) + 10

10(0.20) will cause 10 to be multiplied by the tip value, 20%, and 20% is equivalent to 0.20. Once you multiply 10 by 0.20, you get 2. After that, you add 2 to the price of food, which is 10, and you get a total cost of 12.

12 = 10(0.20) + 10

Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the age of the youngest child, then you have:

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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The amount  of material needed to make the sign is 432 square inches

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

Diagonals = 36 inches and`24 inches

The shape is a rhombus

So, we have

Amount of material = Half of the Product of diagonals

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

Amount of material = 1/2 * 36 * 24

Evaluate

Amount of material = 432

Hence, the material that is needed to make the sign is 432 square inches

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To convert the volume of an object from cubic meters to cubic centimeters, we need to multiply the given volume by the conversion factor of 1,000,000 (100 cm)^3. Therefore, the volume of the object is 9,600,000 cubic centimeters (cm^3) .

The conversion factor between cubic meters and cubic centimeters is 1 meter = 100 centimeters. Since volume is a measure of three-dimensional space, we need to consider the conversion factor in all three dimensions.

Given that the object has a volume of 9.6 m^3, we can convert it to cubic centimeters by multiplying it by the conversion factor.

9.6 m^3 * (100 cm)^3 = 9.6 * 1,000,000 cm^3 = 9,600,000 cm^3.

Therefore, the volume of the object is 9,600,000 cubic centimeters (cm^3) when converted from 9.6 cubic meters (m^3). The multiplication by 1,000,000 arises from the fact that each meter is equal to 100 centimeters in length, and since volume is a product of three lengths, we raise the conversion factor to the power of 3.

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If tyra has recently inherited $9200, which she wants to deposit into an IRA account, Account 2 would pay Tyra more interest over a period of 5 years.

To determine which account would pay Tyra more interest, we need to calculate the interest earned by each account over a certain period of time. Let's assume that Tyra plans to keep the money in the account for 5 years.

Account 1 compounds monthly at an annual rate of 3.3%. This means that the monthly interest rate is 3.3%/12 = 0.275%. To calculate the interest earned by Account 1 over 5 years, we can use the following formula:

Interest = Principal x \((1 + (rate/n))^{(n*t)\) - Principal

Where:

Principal = $9200

Rate = 3.3%

n = 12 (since the interest is compounded monthly)

t = 5 years

Plugging in the values, we get:

Interest = $9200 x (1 + (0.033/12))⁶⁰ - $9200

Interest = $1202.65

Account 2 compounds semi-annually at an annual rate of 5%. This means that the semi-annual interest rate is 5%/2 = 2.5%. To calculate the interest earned by Account 2 over 5 years, we can use the same formula as above, but with a different value for n:

Interest = Principal x \((1 + (rate/n))^{(n*t)\) - Principal

Where:

Principal = $9200

Rate = 5%

n = 2 (since the interest is compounded semi-annually)

t = 5 years

Plugging in the values, we get:

Interest = $9200 x (1 + (0.05/2))¹⁰ - $9200

Interest = $1343.86

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2(x - 2)

The given expression is:

3x−6x+x−4+4x

Collect like terms

3x - 6x + x + 4x - 4

Simplify the resulting expression

2x - 4

Factor out the common term (2) from the expression

2(x - 2)

Answer:

2(x−2)

Step-by-step explanation:

Solution Steps

3x−6x+x−4+4x

Combine 3x and −6x to get −3x.

−3x+x−4+4x

Combine −3x and x to get −2x.

−2x−4+4x

Combine −2x and 4x to get 2x.

2x−4

The slope of the line that passes through the pair of points (0, 1) and (1, -2) will be -3.

First, let us understand the slope of a line:

A slope of a line is defined in mathematics as the change in the y coordinate with regard to the change in the x coordinate.

We are given the points:

(0, 1) and (1, -2)

We will calculate the slope of the line using the following formula:

m = (y_2 - y_1) / (x_2 - x_1)

Let x_1 = 0, x_2 = 1, y_1 = 1 and y_2 = -2.

Substitute the given values in the above formula, we will get:

m = (-2 - 1) / (1 - 0) = -3 / 1 = -3

So, the slope of the line is -3.

Thus, the slope of the line that passes through the pair of points (0, 1) and (1, -2) will be -3.

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9514 1404 393

Answer:

  q/2, p, q

Step-by-step explanation:

You know the area of a triangle is half the product of base and height. The two triangles of interest here have base length p and height q/2. You're being asked to fill in the missing base or height dimension.

  \(=\dfrac{1}{2}\times p \times\boxed{\dfrac{q}{2}}+\dfrac{1}{2}\times\boxed{p}\times\dfrac{q}{2}\\\\=\dfrac{1}{2}\times p\times\boxed{q}\)

Therefore the recursive formula to locate the fourth term is \(a_n = 3 * (a_{n-1} )^{2} _\)

\(a_4 = 3 * (a_{ 3})^{2} = 3 * 108^2= 34992\)

Yes, I can show you how to create a recursive formula for the numbers 4, 12, and 108.

A recursive formula is one that generates the next term by using previous terms in the sequence. To create a recursive formula, we must first find a pattern in the series.

We can see from the given sequence that each phrase is created by multiplying the previous term by a factor of three. 12 is calculated by multiplying 4 by 3, while 108 is calculated by multiplying 12 by 9 (which is 3 increased to the power of 2).

As a result, we may create a recursive formula like this:

\(a_1 = 4\) (the sequence's first term is 4)

\(a_n = 3 * (a_{n-1} )^{2} _\) each term for n > 1) is calculated by multiplying the previous term by three raised to the power of the present term minus one).

We may use this recursive formula to locate any term in the series by using it again, beginning with the first term. To find the fourth term in the sequence, for example, use the formula: \(a_4 = 3 * (a_{ 3})^{2} = 3 * 108^2= 34992\)

As a result, 34992 is the fourth term in the sequence.

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Answer:

1. line with a positive slope    

2. Vertical line

3. Porabola opening down

Step-by-step explanation:

The nature of graph of each function is given below.

A parabola is a curve which forms by joining all the points which are at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix). The general equation of a parabola is -

y = ax² + bx + c

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Given is a table with some functions.

[A] -

g(x) = - 4x - 5

m = - 4

Line with a negative slope.

[B] -

k(x) = 5

y = 5

A horizontal line parallel to [x] - axis

[C] -

f(x) = - 4x² + 2x + 3

A parabola opening down.

Therefore, the nature of graph of each function is given above.

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Answer: The answer is option C: $17,925.00.

Step-by-step explanation: Using the simple interest formula:

I = Prt

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We can find the interest earned over the 6 years:

I = P * r * t = $15,000 * 0.0325 * 6 = $2,925

Adding the interest to the principal, we get the balance at the end of the 6 years:

Balance = Principal + Interest = $15,000 + $2,925 = $17,925

Therefore, the answer is option C: $17,925.00.

The solution to the equation is (a) -2.

To solve the equation log(3x) = log(2) + log(x - 1), we can use the properties of logarithms.

According to the logarithmic property log(a) + log(b) = log(ab), we can rewrite the equation as:

log(3x) = log(2(x - 1))

Since the logarithm function is one-to-one, we can equate the expressions inside the logarithms:

3x = 2(x - 1)

Expanding the equation:

3x = 2x - 2

Bringing all terms to one side:

3x - 2x = -2

x = -2

Therefore, the solution to the equation is x = -2.

The correct answer is (a) -2.

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Answer: y = -2/3x + 5/3

Step-by-step explanation: