Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply. On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5). On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4). On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1). On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5). On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).

A 6-sided die must be rolled 36 times before sequence 65 appears. (i.e., a 6 followed by a 5)

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let E as the expected rolls, and E₆ as the expected rolls given we rolled a 6.

Given that we rolled a 6, there is a 1/6 chance that two rolls will be enough, a 4/6 chance that we didn't roll a 5 or 6 and so spent two rolls, and a 1/6 chance that we rolled a 6 and only wasted one roll:

E₆ = (1/6)2 + (4/6)(E+2) + (1/6)(E₆ + 1)

Rearrange the terms and apply arithmetics operations

E₆ = (4E + 11)/5

According to the question,

We have 5/6 that we rolled [1,5]

So we wasted a roll, and 1/6 that we rolled a 6,

E = (1/6)×E₆ + (5/6)×(E+1)

Substitute the value of E₆ in the equation,

E = (1/30)×(4E+11) + (5/6)×(E+1)

E = 36

Hence, a 6-sided die must be rolled 36 times before sequence 65 appears.

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Answer:

- 0.93

Step-by-step explanation:

0.93 has an absolute value of  0.93 and is positive, so its opposite would be negative with the same absolute value.

The opposite number of 0.93 is -0.93.

The number that produces zero when added to an is known as the additive inverse of a number, or a, in mathematics. This number is also referred to as the opposite number. In another word, oppositely positioned numbers on the number line are called opposite number.

Hence, opposite number of a positive number is a negative number and opposite number of the negative number is a positive number.

For an example, the opposite number of +7 is -7 because +7 + ( -7) = 0.

The opposite number of -0.5 is 0.5 because (-0.5) +0.5 = 0.

In this question, the given number is +0.93.

Let the opposite number of +0.93 is x.

Then it can be written that:

+0.93 + x = 0

⇒ x = 0 -0.93

⇒ x = -0.93

Hence,  the opposite number of 0.93 is -0.93.

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If Dr.Martinez conducted a survey to determine the frequency of sexual activity among the American middle class and collected data from several individuals working at various multinational companies then the research sample is most likely a Convenience Sample .

A Convenience Sample is defined as a type of non-probability sampling method where the researcher selects the sample based on ease of access or availability.

In this survey , Dr. Martinez collected data from individuals who were readily available to him, such as people he knew working at various multinational companies, rather than using a method that would allow him to randomly select a representative sample of the middle class.

The results of this study cannot be generalized to the entire middle class population, as the sample may not be representative of the population.

Therefore , the the research sample is a Convenience Sample .

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Answer:

14w

Step-by-step explanation:

You just need to multiply what's inside by 2.

The mathematical equation relating the expected value of the dependent variable to the value of the independent variables, which has the form of E(y) = β0 + β1x1 + β2x2 + β3x3 +...+ βpxp is a multiple regression equation. The correct option is (a).

The equation E(y) = β0 + β1x1 + β2x2 + β3x3 +...+ βpxp represents a multiple regression equation. Multiple regression analysis is a statistical method used to examine the relationship between a dependent variable and multiple independent variables.

In this equation, E(y) represents the expected value of the dependent variable, which is a function of multiple independent variables, x1, x2, x3, ...xp.

The β0, β1, β2, β3,...βp are the regression coefficients, which represent the expected change in the dependent variable for each unit change in the corresponding independent variable, while holding all other independent variables constant.

The multiple regression equation is used to model the relationship between the dependent variable and the independent variables, taking into account the possible effect of each independent variable on the dependent variable while controlling for the effect of other independent variables.

This makes it a useful tool for predicting the values of the dependent variable based on the values of the independent variables.

In contrast, a simple linear regression model only involves one independent variable, and a multiple nonlinear regression model involves nonlinear relationships between the dependent variable and multiple independent variables.

An estimated multiple regression equation is simply a fitted equation based on the sample data, which can be used to make predictions or inferences about the population.

Therefore, the correct answer is option (a) a multiple regression equation.

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First, let's find the total cost of all the apples:

Now, we divide this by the total amount of apples bought. In our case, we know that there were 10 Granny Smith apples and 15 Golden Delicious, for a total of 25 apples.

Therfore, we can conclude that the average cost per apple was $0.68

Any line whose equation is in the form y = k shall be parallel to the line of y = 0.

Answer:

\(D \: y=6\)

Step-by-step explanation:

SORRY IF THIS IS WRONG......

Answer:

Step-by-step explanation:

7hs

Yes

Answer:

Approximately 85 m

Step-by-step explanation:

Let x represent the distance between the origination point and the target

Distance between original point and mirror 1 = 120 m

Distance between mirror 1 and mirror 2 = 90 m

The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°

Use Cosine rule to find x as shown below:

Use The Law of Cosines to find side a first:

\( a^2 = b^2 + c^2 - 2bc \times Cos(A) \)

Where,

a = x

b = 90 m

c = 120 m

A = 45°

Plug in the values

\( x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45) \)

\( x^2 = 22,500 - 21,600 \times Cos(45) \)

\( x^2 = 22,500 - 15,273.5065 \)

\( x^2 = 7,226.4935 \)

Square both sides

\( x = \sqrt{7,226.4935} \)

\( x = \sqrt{7,226.4935} \)

x ≈ 85 m

Answer: AAAAAAA-85!!!!!

Step-by-step explanation:

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11

Hence the possible length of the third side should be greater than 11.

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This question is taken from the continuity and discontinuity in which we have to check whether a given function is continuous at the given point or not continuous, so we can write the given function below

at x=4 is continuous or not.

First, we are written the given function and check whether it is continuous at a given point or not, so we have to check the left hand and right-hand limit (LHL and RHL)are equal or not, Given a function

so formula we write it below at the given point

LHL=limx→−4−k(x)

RHL=limx→−4+k(x)

and applicable only limits are exist otherwise discontinuous.

RHL=LHL=k(4)

if the above formula is satisfy then the given function is continuous

now we calculate the L.H.L

LHL=limx→−4−k(x)

Now change the limit, x=-4-h and h=0.

For RHL,

For x=4,

So RHL is not equal to LHL but RHL = for the function at x=4.

Then it is not satisfied the continuous property so the function is discontinuous at x=4.

So its function value is discontinuous at x= 4.

Answer:

\(f(x) = - 2x - 3\)

when x is r + 2 :

\(f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}\)

Answer:

No

Step-by-step explanation:

No because the measure of two sides are always greater than the third side

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Answer:gy

Step-by-step explanation:yg

Answer:

P = 36 1/6 feet

Step-by-step explanation:

you can create the following proportion:

6 / 7 = 10 / x

cross-multiply:

6x = 70

x = 11 2/3

use the same ratio to write a second proportion to find the last side:

6 / 7 = 15 / x

cross-multiply:

6x = 105

x = 17 1/2

Perimeter = 7 + 11 2/3 + 17 1/2  =  28 7/6 + 7  =  29 1/6 + 7 = 36 1/6 feet

Answer: The arclength of the curve is approximately 5.664 + ln(2), which is closest to option E (5+In 2).

Step-by-step explanation:

To get the arclength of the curve, we need to integrate the magnitude of its derivative over the interval of interest.

In this case, the curve is given by: F(t) = (t^2)i + (2t + ln(t))j + (ln(t))k.

So, the derivative of F(t) with respect to t is: F'(t) = 2ti + (2 + 1/t)j + (1/t)k and the magnitude of F'(t) is:|

F'(t)| = sqrt((2t)^2 + (2 + 1/t)^2 + (1/t)^2) = sqrt(4t^2 + 4t + 1/t^2 + 4/t + 1).

To get the arclength of the curve from t=1 to t=e^2, we need to integrate |F'(t)| over this interval: integral from 1 to e^2 of |F'(t)| dt = integral from 1 to e^2 of sqrt(4t^2 + 4t + 1/t^2 + 4/t + 1) dt.

This integral is difficult to evaluate analytically, so we can use numerical methods to approximate the value. Using a numerical integration tool, we get:integral from 1 to e^2 of |F'(t)| dt ≈ 5.664.

Therefore, the arclength of the curve is approximately 5.664 + ln(2), which is closest to option E (5+In 2).

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Answer:  9/10

=======================================================

Explanation:

Imagine a pizza split into 5 equal slices. Then imagine that you split each slice in half. This means we now have 5*2 = 10 slices.

Eating 3 out of the original 5 is equivalent to eating 6 smaller slices out of the now 10 total.

In other words:  The fraction 3/5 is the same as 6/10

Put another way: Multiply top and bottom of 3/5 by 2 to get 6/10.

---------------

Gary painted 3/10 of the fence in the morning, and then 3/5 of it in the afternoon. We can replace the "3/5" with "6/10".

3/10 + 6/10 = (3+6)/10 = 9/10 total

Going back to the pizza scenario, we can imagine 3/10 as eating 3 slices out of 10 total. Then 6/10 adds 6 more slices to get 3+6 = 9 slices total. That's how we end up with 9/10 as the answer.

Check the picture below.

\(\cfrac{1^3}{12^3}~~ = ~~\cfrac{V}{33764}\implies \cfrac{1}{1728}~~ = ~~\cfrac{V}{33764}\implies \cfrac{(1)(33764)}{1728}=V\implies \boxed{\stackrel{ cm^3 }{19.54}\approx V}\)

The mathematical expression for the verbal expression is the sum of two and four and six times eight will be (2+4+6)8.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given verbal expression is the sum of two and four and six times eight will be written as:-

Add 2,4, and 6 apply parenthesis, and then multiply by 8. The expression will be:-

E = ( 2 +  4 + 6 ) 8

Therefore, the mathematical expression for the verbal expression is the sum of two and four, and six times eight will be (2+4+6)8.

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Answer:

the value of theta i 45°

Answer:

3/4 divided by 9 (break it down) = 1/12

Answer: 0.47

Step-by-step explanation: i just took the quiz

It will take them 8 minutes to eat a combined total of 100 hot dogs.

Given,

Rate of eating hot dogs by sandra= 3/min

Rate of eating hotdogs by greg=4/min

Rate of eating hotdogs by michael =\(5\frac{1}{2}\) /min

To find the time taken by them together to eat 100 hot dogs can be calculated by

\(Time=\frac{Total\ hot\ dogs}{Sum\ of\ there\ rate\ of\ eating}\)

Sum of their rate of eating,

=\(=3+4+5\frac{1}{2}\\\\=7+\frac{11}{2}\\\\=\frac{14+11}{2}\\\\=\frac{25}{2}\)

Now,

\(Time=\frac{100}{\frac{25}{2}}=\frac{100*2}{25}=8 minutes\)

Thus, it will take them 8 minutes to eat a combined total of 100 hot dogs.

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Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

We must first solve for the slope of the line using the following formula:

\(\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}\)

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

\(\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}\)

\(\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}\)

Hence, the slope of the line is:  \(\sf{m\:=\frac{4}{3}}\) .

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, \(\sf{m\:=\frac{4}{3}}\), and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

\(\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }\)

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

To solve the given differential equations using the method of undetermined coefficients, we need to find a particular solution that satisfies the non-homogeneous equation. So, the general solution is given by: (a) y = y_h + y_p = Ce^(4x) + (-x - 4xe^(-2x) + 8x^2 - 1)e^(-2x) + 8x - 1, (b) y = y_h + y_p = Ce^x + (-x + 22.21e^x)

Let's solve each equation separately:

(a) y' - 4y = 16xe^(-2x) + 8x + 4

Step 1: Solve the associated homogeneous equation:

The homogeneous equation is y' - 4y = 0, which has the solution y_h = Ce^(4x), where C is a constant.

Step 2: Track down a specific non-homogeneous equation solution:

Since the non-homogeneous term contains terms like xe^(-2x) and x, we assume a particular solution of the form:

y_p = (A + Bx)e^(-2x) + Cx + D

Differentiating y_p, we have:

y'_p = (-2A + B - 2Bx)e^(-2x) + C

Substituting y_p and y'_p into the original equation, we get:

(-2A + B - 2Bx)e^(-2x) + C - 4((A + Bx)e^(-2x) + Cx + D) = 16xe^(-2x) + 8x + 4

Matching coefficients of like terms on both sides, we get:

-2A + B - 4A - 4D = 0 (coefficients of e^(-2x))

-2B - 4C = 16x (coefficients of xe^(-2x))

-2A + C = 8x (coefficients of x)

-4D = 4 (constant term)\

Solving these equations, we find A = -1, B = -4, C = 8, and D = -1.

Therefore, the particular solution is:

y_p = (-x - 4xe^(-2x) + 8x^2 - 1)e^(-2x) + 8x - 1

The general solution is given by:

y = y_h + y_p = Ce^(4x) + (-x - 4xe^(-2x) + 8x^2 - 1)e^(-2x) + 8x - 1

(b) y' - y = (2x + xe^2) + 22,21

Step 1: Solve the associated homogeneous equation:

The homogeneous equation is y' - y = 0, which has the solution y_h = Ce^x, where C is a constant.

Step 2: Track down a specific non-homogeneous equation solution:

Since the non-homogeneous term contains terms like 2x, xe^2, and 22.21, we assume a particular solution of the form:

y_p = Ax + B + Cx^2 + De^x

Differentiating y_p, we have:

y'_p = A + C + 2Cx + De^x

Substituting y_p and y'_p into the original equation, we get:

(A + C + 2Cx + De^x) - (Ax + B + Cx^2 + De^x) = (2x + xe^2) + 22.21

Matching coefficients of like terms on both sides, we get:

A - Ax = 2x + xe^2 (coefficients of x)

C - Cx^2 = 0 (coefficients of x^2)

C + D = 22.21 (constant term)

According to the first equation, A = -1.

From the second equation, we have C = 0.

Substituting A = -1 and C = 0 into the third equation, we get D = 22.21.

Therefore, the particular solution is:

y_p = -x + 22.21e^x

The general solution is given by:

y = y_h + y_p = Ce^x + (-x + 22.21e^x)

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The length of the pendulum is approximately 24.99 cm.

The formula for the period of a pendulum is:

T = 2π√(L/g)

where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (approximately 9.81 \(m/s^2\)).

To find the length L of the pendulum in centimeters, we can rearrange the formula as follows:

L = (T/2π\()^2\) * g

Substituting T = 0.537 s and g = 9.81 m/s^2 (which is equivalent to 981 cm/s^2), we get:

L = (0.537/(2π)\()^2\) * 981

L ≈ 24.99 cm

Therefore, the length of the pendulum is approximately 24.99 cm.

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)