A​ "normal" temperature for a certain animal is 99.1 degree F. If a temperature x that differs from the normal by at least 3.8 degree F is considered​ unhealthy, write the condition for an unhealthy temperature x as an inequality involving an absolute​ value, and solve for x

Answer:

j = 17.32 sq rt 3  or   30

Step-by-step explanation:

sin 60 = j/20sq rt 3

0.8660 = j/20sq rt 3

j = 17.32 sq rt 3

Answer:

Step-by-step explanation:

cos30 = j / 20√3

j = (20√3)cos30

j = (20√3)(½√3)

j = 30

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

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

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

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Answer:

\(-2 \le y < \infty\)

Step-by-step explanation:

The range is the set of values of the y-coordinates of all the points in the function.

We see in the graph that the lowest y-coordinate is -2. The graph goes up from -2 on both sides all the way to infinity. The range is -2 and all values greater than -2.

Answer: \(-2 \le y < \infty\)

The range of the quadratic function is -2 ≤ y < ∞. And the correct option is   second.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

From the diagram, we can see that the quadratic function has a range.

In the graph, the curve is touching the y = -2.

So y = -2 is in the range.

And the end behavior is y tends to positive infinity.

And the curve is above y = -2.

That means, the curve range extends to -2 ≤ y.

That means, y < ∞ So, the range is -2 ≤ y < ∞.

Therefore, the range is -2 ≤ y < ∞.

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

-3

Step-by-step explanation:

-4a - 2a - 7 = 11

-6a - 7 = 11                                      Combine coefficients.

      +7   +7

-6a = 18                                           Isolate the variable.

a  = -3                                 Divided by 6 on both sides to isolate the variable.

Answer:

479 ft^2

Step-by-step explanation:

Area of the bottom rectangle =  30 X 20 = 600 sq ft

  then subtract the areas of the window and the door

     600 -  (5x3) - (2x3) = 579  ft^2

Then add the triangular top area

 1/2  (20)(10) = 100

579 - 100 = 479 ft^2

No, the network in (d) does not have a Hamiltonian cycle. A Hamiltonian cycle is a path in a graph that visits each vertex exactly once and returns to the original vertex.

Vertex is a point in geometry. It is a corner or a point where two or more lines, edges, or faces of a shape meet. In three-dimensional shapes, a vertex is a point where three or more edges meet. In two-dimensional shapes, a vertex is a point where two or more lines meet. A vertex is usually denoted by a capital letter such as A, B, and C. A vertex is also known as a corner point, node, or intersection. In graphs, a vertex is a point where two or more edges meet.

In the network in (d), there are four vertices (A, B, C, and D), and it is not possible to form a path that visits each vertex exactly once and returns to the original vertex. Therefore, this network does not have a Hamiltonian cycle.

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Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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Therefore , the solution of the given problem of unitary method comes out to be any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

The phrase "shade 3/8 of the square" might be interpreted in a variety of ways, which might result in various solutions. Here are a few potential explanations and their accompanying responses:

1) The most straightforward interpretation is to shade 3/8 of the square as a single, continuous area.

There are countless ways to shade precisely 3/8 of the square in this interpretation.

2) Discrete Interpretation: Using a grid or discrete cells to shade 3/8 of the square.

The number of alternative ways relies on the size of the grid or the number of discrete cells if the square is divided into a grid or cells and the requirement is to shade exactly 3/8 of the cells. F

3) Interpretation based on constraints: Shading 3/8 of the square with specific restrictions.

In conclusion, the exact interpretation and any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square. It is challenging to estimate the precise number of potential solutions in the absence of more details.

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Answer:

I believe the Answer is C.

Step-by-step explanation:

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

The value of x in the circle that shows diameter is calculated as:

x = -7

In a circle, the line segment that divides the circle into two halves is the diameter. Half of the circle is a semicircle which has a measure of 180 degrees.

Note: The measure of a central angle is also the same measure with that of the arc it intercepts.

Therefore, we have:

-8x + 9 + 50 + 65 = 180

-8x + 124 = 180

-8x = 180 - 124

-8x = 56

x = 56/-8

x = -7

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Answer:

3 hours

Step-by-step explanation:

285+55+285+55+285+55=1020

or another way

285+55×3= 1020

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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Answer:

B) Fifth Grade Boys

Step-by-step explanation:

The far right green line represents the fifth grade boys, and you can see that this lines up right in the middle of 50 and 60.

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

The probability of choosing a math book is 6/10, the probability of choosing an English book is 4/10, and the probability of choosing either a math or an English book is 1.

To find the probability of choosing different types of books from the collection, we need to consider the total number of books and the number of books in each category.

Probability of choosing a math book:

There are a total of 6 math books in the collection, and since we are selecting a book at random, the probability of choosing a math book is 6/10 or 3/5.

Probability of choosing an English book:

There are a total of 4 English books in the collection, so the probability of choosing an English book is 4/10 or 2/5.

Probability of choosing either a math or an English book:

Since there are only math and English books in the collection, choosing either a math or an English book covers all possibilities.

Therefore, the probability of choosing either a math or an English book is equal to the sum of the probabilities of choosing a math book and choosing an English book, which is 3/5 + 2/5 = 5/5 or simply 1.

In summary, the probability of choosing a math book is 3/5, the probability of choosing an English book is 2/5, and the probability of choosing either a math or an English book is 1.

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There is no reason to expect a difference in the correlation values when switching the order of height and weight.

The correct answer is: c. corr(weight, height) will have the same corr(height, weight).

To determine which correlation, corr(height, weight) or corr(weight, height), will be higher, we need to consider the nature of the variables and the potential impact of their ordering.

In general, correlation measures the strength and direction of the linear relationship between two variables. It is not affected by the order in which the variables are placed. Therefore, the correlation between height and weight should be the same regardless of which variable is considered as the independent variable (height) or the dependent variable (weight).

Hence, the correct answer is:

c. corr(weight, height) will have the same corr(height, weight).

The correlation coefficient is a symmetric measure, meaning that switching the order of the variables does not affect the correlation value. If the correlation between height and weight is, for example, 0.7, then the correlation between weight and height will also be 0.7. The magnitude and strength of the correlation will be identical; only the labels of the variables will change.

Therefore, there is no reason to expect a difference in the correlation values when switching the order of height and weight. Both correlations should be the same, and neither correlation should be much greater than the other.

It's important to note that the correlation coefficient does not imply causation. A high correlation between height and weight does not necessarily mean that one variable causes the other. It simply indicates the strength of their linear relationship. The correct answer is:

c. corr(weight, height) will have the same corr(height, weight).

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The formula to calculate the surface area of a cone is given to be:

where r is the radius and h is the perpendicular height.

The surface area of the big cone is calculated as follows:

The surface area of the smaller cone is:

Hence, the ratio is calculated as follows:

Therefore, the ratio is 4:1.

OPTION B is the correct option.

Answer: 10.7x + 5

Step-by-step explanation:

(3.5 + 7.2)x + (-5 + 10) = 10.7x + 5

Answer:

31 : 6, 31 craft sticks to 6 balsa wood

Step-by-step explanation:

Make 1240 and 240 into a fraction

\( \frac{1240}{240} \)

Divide 1240 and 240 by 10

1240 ÷ 10

= 124

240 ÷ 10

= 24

\( \frac{124}{24} \)

Divide 124 and 24 by 4

124 ÷ 4

= 31

24 ÷ 4

= 6

\( \frac{31}{6} \)

This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.

Have a lovely rest of your day! :)

Answer:

96

Step-by-step explanation:

3 feet per yard

32x3=96

Answer:

96 feet

there is 3 feet for every yard so multiply 3*32

The number of cats that company take to care of on Saturday night = 72.

The given system of equation is,

       x + y = 16     .....(i)  

18x + 30y = 432  .....(ii)

Where x represents the number of dog

And y represents the number of cat

One strategy for solving a system of linear equations is the elimination method. To get the equation in one variable, either add or subtract the equations. If the coefficients of one of the variables are the same and their signs are opposite, we can use the equation to delete the variable. Similarly, if the coefficients of one of the variables are the same, as well as their sign, we can subtract the equation to yield the equation in one variable.

Now  multiply 18 with (i) we get,

18x + 18y = 288    .....(iii)

Subtract (iii) from (ii)

⇒ 2y = 144

⇒   y = 72

Hence,

there were 72 cats.

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Answer:

Nut

Step-by-step explanation:

nut