Which value of y makes the equation 3y+8=7y+11 true?

Answer:342.084

Step-by-step explanation:

If the temperature was 87 degrees, the energy consumption would be approximately 341.184.

The equation provided is:

y = 3.317x + 53.505

where:

y represents energy consumption

x represents temperature

You want to determine the energy consumption when the temperature is 87 degrees (x = 87).

Plug the value of x into the equation:

y = 3.317 * 87 + 53.505

Now, perform the calculations:

y = 287.679 + 53.505

y = 341.184

So, if the temperature was 87 degrees, the energy consumption would be approximately 341.184.

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In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.

(a): Yes, because there is not much of a trend in the data.

(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.

(c): chose a correct residual plot

In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x

As the number of labor hours​ increases, the residual values from the regression also tend to​ increase, suggesting that the labor input is a lurking variable.

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Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

Answer:

300

Step-by-step explanation:

Neptune is approximately 33 times farther from the sun that earth.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance of Earth from the Sun  = 9 × 10⁷

Distance of Neptune from the Sun = 3 × 10⁹

Now,

Since, Distance of Earth from the Sun  = 9 × 10⁷

Distance of Neptune from the Sun = 3 × 10⁹

Hence, The times of distance between the Earth and Sun from Neptune; = 9 /3 × 10⁷×10²

=  100/3  × 9× 10^7        

=  100/3   times of distance between Earth & Sun

Hence, Neptune is approximately 33 times farther from the sun that earth.

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Answer:

Yeah I've thought of it and have an example with the year 2000 as the birth year

So 2000 In binary= 11111010000

Step-by-step explanation:

Binary numbers consist of only 0 and 1

So to convert a number to binary we divide by 2

Let's assume a birth year of 2000

Now let's convert it to binary

2000/2= 1000 R 0

1000/2= 500 R 0

500/2= 250. R 0

250/2= 125. R 0

125/2 = 62. R 1

62/2= 31. R 0

31/2= 15. R 1

15/2 = 7. R. 1

7/2= 3. R 1

3/2 = 1. R 1

1/2 = 0. R 1

Where R signifies the remainder

So we'd pick the remainder from the bottom and that becomes our binary number

So 2000 In binary= 11111010000

Answer:

D. One end increases and one end decreases

One end increases and one end decreases in the given function  f(x) = - In (2x) + 4. Therefore, the correct option is option D.

What is mathematical function?

In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function  f(x) = - In (2x) + 4.

Therefore, the correct option is option D.

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A sample space is a set of all possible outcomes of an experiment. In this problem, the sample space is given as  \(S = {1, 2, 3, 4, 5, 6, 7, 8}\). the solution is E intersection (F union G^c) \(= {1, 2, 4}.\)

To solve this problem, we first need to understand what each of the events E, F, and G represents.

Event E represents the outcomes where the number rolled on a six-sided die is one of { \(1, 2, 3, 4}\)  .

Event F represents the outcomes where the number rolled on a six-sided die is one of  \({2, 4, 6, 8}\) .

Event G represents the outcomes where the number rolled on a six-sided die is one of   \({3, 4, 6, 7}.\)

Now, let's break down the given expression E ∩ (F ∪ G^c):

G^c represents the complement of event G, i.e., the outcomes where the number rolled on a six-sided die is not in G. So G^c = {1, 2, 5, 8}.

F ∪ G^c represents the union of events F and G^c, i.e., the outcomes where the number rolled on a six-sided die is in F or in G^c or both. So F ∪ G^c \(= {1, 2, 4, 5, 6, 8}\)  .

E ∩ (F ∪ G^c) represents the intersection of event E and (F ∪ G^c), i.e., the outcomes where the number rolled on a six-sided die is in both E and (F ∪ G^c). So E ∩ (F ∪ G^c) = {1, 2, 4}.

Therefore, the solution is E intersection (F union G^c) \(= {1, 2, 4}.\)

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Answer:

non-linear

Step-by-step explanation:

The function is non-linear because it does not follow a specific line, rather it curves. A linear function must have a stable slope throughout the relation.

The answer is non-linear. Hope this helps :)

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

2:5

Step-by-step explanation:

your welcome. jsvsjgbdjshwbkshd

Answer:

The answer will be 2:5 Ratio.

Step-by-step explanation:

The explanation for this answer is going to be adding 3  + 2  Ratio = 5.

Once we have 5 we put the 5 on the right Which means all then we put the Girls (2) on the left. Hope you found this answer helpfull.

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Step-by-step explanation:

\(y = 3 \csc( \frac{x}{5} ) \)

\( \frac{y}{3} = \csc( \frac{x}{5} ) \)

Multiply by 5 on both sides.

\(5 \times \frac{y}{3} = \csc(x) \)

Take the inverse of cosecant or arccsc of the function.

\(5 \: arccsc( \frac{y}{3}) = x\)

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

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Answer:

2,150 mm

Step-by-step explanation:

If every cm is 10 mm you multiply 215 by 10. I hope this helped!

Answer:

1. More pollination process in the regular corn planted in field A than that of field B.

2. Low pest and insect attack on corn planted in field A compared to that of B.

Step-by-step explanation:

1. Pollination is the process in which a plant becomes fertilized, so as to produced seeds. The process requires some agent which could be; air, human, wind etc.

Therefore more pollination of the corn planted in field A than those in B would lead to more yield (ears of corn harvested) than that of B.

2. Pests and insects are agents which could reduce the yield of the corn after harvest. Comparing the two fields A and B, if the corn planted in field A were not affected by pests or insects, while those planted in B were affected, then more ears of corn would be harvested in field A.

Answer:

a,c, And gg gamer

Step-by-step explanation:

Correct option is A. To form the image, the pre-image moved, five units right and three units up.

Its image refers to a point's, a line's, a line segment's, or a figure's new location following a transformation.

The image of Q's coordinates are (x1+ ar, y1+ br, z1+ cr). The midpoint R of PQ's coordinates are discovered. By changing the coordinates of R in the planar equation, the value of r is determined. The r-value is then entered into the Q coordinates.

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Complete Question -

To form the image, the pre-image moved

O five units right and three units up.

O two units right and three units up.

O five units left and three units down.

O two units left and three units down.

The image is attached below -

Answer:

a

Step-by-step explanation:

i rjrjejjejejejebruex so yeah thats it

The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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Answer:

x=2

Step-by-step explanation:

0.95x +0.05(12-x) = 0.10(24)

Distribute

0.95x +0.6-0.5x= 2.4

add/subtract like terms

0.9x+0.6=2.4

subtract 0.6 from both sides

0.9x=1.8

Divide both sides by 9

0.1x=0.2

multiply both sides by 10

x=2

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Answer:

A) Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  The odds ratio shows that  BP is directly proportional to Dietary cholesterol

Step-by-step explanation:

A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol

Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) Compute an estimate of the odds ratio of high blood pressure for the two groups

High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

The odds ratio shows that  BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1

Answer: 7 \(\frac{1}{7}\) lbs

Step-by-step explanation:

    We will divide the 50 lbs bag by 7, to represent te 7 dogs.

50 lbs food / 7 dogs = 7 \(\frac{1}{7}\) lbs

Answer:

ez pts tysm

Step-by-step explanation:

The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Answer:

72.75

Step-by-step explanation:

1) take the big number and divide it by 2

2) the answer will be 72.75 per 1 hoodie

No, the events A and B are not independent because the two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

In the given question, eight friends are drawing straws. The one who picks the short straw must cook dinner for the others.

We have to determine whether the events A and B are independent.

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

The two events are dependent as drawing of the draw by first person affects probability of drawing the straw by the second person.

Hence, the events A and B are not independent.

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Answer:

£20942.04

Step-by-step explanation:

The total cost of the car includes its purchasing price and the cost of importing it into the UK.

Cost of the car in pounds = 24000/1.45 =  £16,551.7

Total cost of the car = £16,551.7 + £900 = £17,451.7

If the profit made is 20%

Then;

Profit % = selling price - cost price/cost price * 100/1

Let selling price = SP

Cost price = CP

20 = SP - CP/CP  * 100/1

20 = SP - 17,451.7/17,451.7 * 100/1

17,451.7 (20) = 100(SP - 17,451.7)

349034 = 100SP - 1745170

349034 + 1745170 = 100SP

2094204 = 100SP

SP = £20942.04

Answer:

Explanation:

Here, we want to get the probability of drawing an ace or a 6 from a deck of 52 cards

There are 4 suites in a deck and each deck has a 6. Thus, there are 4 6s

Each suite has an ace and thus, there are 4 aces

The probability of drawing a specific item is the number of items divided by the total number of items

The probability of drawing an ace will be:

The probability of drawing a 6 will be:

Now,the probability of drawing an ace or a 6 will be the sum of these two

Mathematically, we have this as:

Answer:

pp

Step-by-step explanation:

lol

lol

Answer:

y=3 and x=3*sqrt(3)

Step-by-step explanation:

sin(30)=y/6

1/2=y/6, y=3. As it's a right angled triangle, 6^2-3^2=x^2, x=3*sqrt(3)

Answer:

x = 3 sqrt(3)

y = 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = y /6

6 sin 30 = y

6 (1/2) = y

3 = y

cos theta = adj / hyp

cos 30 = x /6

6 cos 30 =x

6 ( sqrt(3)/2) =x

3 sqrt(3) = x