In the translation T of the graph below, use the figure to describe the following transformation.

The area of the rectangle can be expressed as a fraction by multiplying 3/4 and 5/12. The answer is 5/16, which represents the area of the rectangle.

1. Multiply the length and width of the rectangle: 3/4 x 5/12 = 15/48

2. Reduce the fraction to its simplest form: 15/48 = 5/16

3. The answer is 5/16, which represents the area of the rectangle.

To find the area of a rectangle, you need to multiply the length and width of the rectangle together. In this case, the rectangle is 3/4 of a foot long and 5/12 of a foot wide. To express the area as a fraction, you need to multiply the two fractions together. 3/4 x 5/12 = 15/48. Since 15 and 48 have a common factor of 3, the fraction can be reduced to its simplest form, 5/16. Therefore, the area of the rectangle can be expressed as 5/16. This fraction represents the area of the rectangle.

Learn more about rectangle here

https://brainly.com/question/29068457

#SPJ4

The complete question is

A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle of a feet wide.

To construct a 95% interval for an individual value of y given x using the provided regression analysis, you would first need to find the predicted value of y (ŷ) using the regression equation, which is typically represented as ŷ = b0 + b1x, where b0 is the y-intercept, and b1 is the slope of the regression line.

Next, you would calculate the standard error of the estimate (SEE) using the given data. SEE is a measure of the variability of the predicted y values around the regression line. It is used to determine the confidence interval around the predicted y value.

With the predicted y value (ŷ) and SEE, you can then construct the 95% interval for an individual value of y given x. To do this, find the critical t-value corresponding to the 95% confidence level in a t-distribution table, using the degrees of freedom (df), which is equal to the number of data points minus 2.

Finally, calculate the lower and upper bounds of the 95% interval by multiplying the critical t-value by the SEE and subtracting/adding the result from/to the predicted y value (ŷ). This will give you a range within which the actual y value has a 95% probability of falling, given the x value.

In summary, constructing a 95% interval for an individual y value given x requires the use of the regression equation, standard error of the estimate, and critical t-value. These components allow you to generate an interval within which you can be 95% confident that the true y value lies.

To know more about regression visit:

https://brainly.com/question/30011167

#SPJ11

Answer:

13 \(\frac{1}{3}\)% are green

Step-by-step explanation:

totalling the marbles

red = 6

blue = 7

green = 4

orange = 13

total marbles = 6 + 7 + 4 + 13 = 30

fraction of green marbles = \(\frac{4}{30}\) = \(\frac{2}{15}\)

To change a fraction to a percentage multiply the fraction by 100%

\(\frac{2}{15}\) × 100% = 0.1333.. × 100% = 13.33 % = 13 \(\frac{1}{3}\)%

Answer:

Read explanation

Step-by-step explanation:

I answered another one of your questions just like this in detail so I'll keep this one shorter.

Domain: (-∞, 0]

Range: (-3,∞)

x-intercept: Approximately -3.75

y=intercept: -3

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

The expression, (5 > 57 % 8), evaluates to false.

To determine if the expression (5 > 57 % 8) evaluates to true or false, we need to first calculate the value of 57 % 8.

Step 1: Calculate 57 % 8, which represents the remainder when 57 is divided by 8.
57 % 8 = 1

Step 2: Compare 5 and the result from Step 1 using the '>' operator.
5 > 1

Step 3: Determine if the comparison in Step 2 is true or false.
Since 5 is greater than 1, the expression evaluates to true.

So, the expression (5 > 57 % 8) evaluates to true.

Learn more about expression:

brainly.com/question/14083225

#SPJ11

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Answer:

Dude

the twice of ML is equal to JL....

Now u may ask how can I say this the reason is I used "THE MIDPOINT FORMULAE" do search this concept on utube........

2(5x-16) = 4x+34

So here x is 11

Put the value of it in JL.... so JL is 4*11+34 = 78 units......

Answer:

y = 1/2 x + 10

Step-by-step explanation:

The equation should be in format

y = mx + b with m being the slope and b being the y-intercept.

The y-intercept of 5x + y - 10 = 0 is the same as the y-intercept of the unknown equation. The y-intercept of 5x + y - 10 = 0 is 10, so now our unknown equation is y = mx + 10.

Two parallel lines have the same slope but different y-intercepts, so we just need the slope of 2x - 4y = 8, which in the y = mx + b form, is y = 1/2 x - 2. Now, we just copy the slope of y = x/2 - 2 to the slope of the unknown equation, which results in y = 1/2 x + 10.

In conclusion, the unknown equation that is parallel to 2x - 4y = 8 and shares the same y-intercept as 5x + y - 10 = 0 is y = 1/2 x + 10

Answer: 1 - 5/12 = 7/12

Fraction, that he gave to his brothers = 1/6 + 1/4 = 5/12

So, Fraction he kept for himself, 1 - 5/12 = 7/12

Answer:

Makenzie is correct,  13.93 ≈c

Step-by-step explanation:

the sides with determined lengths (see image) are A (13) and B (5). C however is not determined.

the correct equation would be to solve for c.

13² + 5² = c²

\(\sqrt {169 + 25} = c\)

c ≈ 13.93

Clara solved for b and not c, which is incorrect.

The right working is as follows:

c² = a² + b²

c² = 5² + 13²

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs.

Therefore,

c = ?

a = 5

b = 13

c² = 5² + 13²

c² = 25 + 169

c² = 194

c = √194

c = 13.9283882772

c = 13.9 inches

learn more on Pythagoras theorem: https://brainly.com/question/25222676?referrer=searchResults

Answer:   The final balance is $9,013.73.

The total compound interest is $7,513.73.

Step-by-step explanation:

Answer:

1/6 serving

Step-by-step explanation:

1 SERVING = 3/2 OUNCES

        x        = 1/4 OUNCES

CROSS MULTIPLY.

1 * 1/4 ( serving * ounces) = x * 3/2 (ounces)

REARRANGE, THEN DIVIDE BOTH SIDES BY 3/2 OUNCES TO MAKE x THE SUBJECT.

x * 3/2 (ounces) = 1 * 1/4 ( serving * ounces)

[x * 3/2 (ounces)] / 3/2 OUNCES = [1 * 1/4 ( serving * ounces)] / 3/2 OUNCES

x = (1/4) / (3/2) SERVING

x = 1/4 * 2/3 (serving)

x = 1/2 * 1/3 (serving)

x = 1/6 serving

Please thank, rate 5 stars and give brainliest. Thank you. i hope you understand!

The equation of the perpendicular line is y = 3x + 9

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

Line; y = -x/3 + 3/5

The slope of the above line is

m = -1/3

The slopes of perpendicular lines are opposite reciporcals

So, the new slope is -1/(-1/3)

New = 3

The line passes through (-2, 3)

So, we have

y = mx + c

Where

m = 3

This gives

3 * -2 + c = 3

Evaluate

c = 9

So, we have

y = 3x + 9

Hence, the equation of the perpendicular line is y = 3x + 9

Read more about equation at

brainly.com/question/18831322

#SPJ9

All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.

1.1 Formulation:

The problem can be formulated as follows:

Minimize: 0 (since it is a feasibility problem)

Subject to:

α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1

α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2

α1, α2, α3, α4 are unrestricted

β is unrestricted

y_i ≥ 0 for all points in S1

z_i ≥ 0 for all points in S2

The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.

1.2 Finding a feasible solution:

To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.

Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.

For S1:

(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible

(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible

(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible

(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible

For S2:

(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible

(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible

(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible

(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible

Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

To know more about linear optimization:

https://brainly.com/question/29450014

#SPJ11

SSS (Side-Side-Side) only proves congruence (If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.) So therefore you would need an angle to determine if it is or isnt a right triangle.

Answer:

\(x=3c\sqrt{a} -b^2\)

Step-by-step explanation:

\(\sqrt{a} =\dfrac{x+b^2}{3c}\)

Multiply both sides by 3c:

\(\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}\)

\(\implies 3c\sqrt{a} =x+b^2\)

Subtract \(b^2\) from both sides:

\(\implies 3c\sqrt{a} -b^2=x+b^2-b^2\)

\(\implies 3c\sqrt{a}-b^2=x\)

Switch sides:

\(\implies x=3c\sqrt{a} -b^2\)

Answer:

15.66

Step-by-step explanation:

Ok, good job for posting the answer

Answer:

For me it says pmn is 63 degrees

Step-by-step explanation:

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

To know more about functions visit:

https://brainly.com/question/29120892

#SPJ1

The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

it is helpful to constuct d because it makes the graph easier to understand

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

trust meee

The correct equation is,

⇒ 8(x + 6) = 144

Now, We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Thus, The correct equation is,

8(x + 6) = 144

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Step-by-step explanation:

If the missile was going 900 mph and we are trying to find the horizontal velocity

This could be 3.88, and rounding it to the nearest hundredth would be 3.90 miles per minute

Answer:

1.45 miles per minute

Step-by-step explanation:

The question asked it to be presented in miles per minute so divide 1000 by 60 which will give us 50/3. We then multiply that with cos(85) which will give us the final answer of 1.45.

Answer:

12 untis

Step-by-step explanation:

12 units becaause on a graph you count from -9,6 to 3,6 which is 12 units.

The equation of the sphere that passes through the point (6,3,−3) and has center (3,6,3) is (x-3)²+(y-6)²+(z-3)²=27.

The equation of the sphere in the standard form is: (x-a)²+(y-b)²+(z-c)²=r²where (a,b,c) is the center of the sphere and r is the radius of the sphere. We are given that the center of the sphere is (3,6,3), so a=3, b=6, and c=3. Let's find the radius of the sphere. The point (6,3,-3) lies on the sphere. So, the distance between this point and the center of the sphere is equal to the radius of the sphere.Using the distance formula, we get:r = √[(6-3)²+(3-6)²+(-3-3)²]= √[3²+(-3)²+6²]= √54= 3√6The equation of the sphere is therefore:(x-3)²+(y-6)²+(z-3)² = (3√6)²= 27

Learn more about standard form here:

https://brainly.com/question/25094938

#SPJ11

Answer:

Hello it is a reduction because it is smaller then the original shape and the green shape is the dilation!

Its a scale factor of 1/2 Hope this helps!

Answer:

Step-by-step explanation:

It's a reduction (smaller) so the scale factor is  less than 1.

In fact it is 1/2 as for example B (4, 4) maps to B' (2, 2).