a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day ​

Answer:

  (c)  two right triangles, each with both legs 40 inches long

Step-by-step explanation:

You want to know which pair of triangles are congruent, given their descriptions.

There are basically 4 theorems that allow you to claim congruence of triangles:

  AAS, ASA, SAS, SSS

A fifth one applies to right triangles only: HL.

These tell you that you need to have three matching parts: 3 sides, 2 sides and the angle between (except right triangle), or 1 side and 2 angles.

An isosceles triangle with only one or two sides defined is not sufficient.

A right triangle with only the hypotenuse defined is not sufficient.

A right triangle with two legs and the (right) angle between them has a sufficient number of matching parts to be able to claim congruence to another triangle similarly defined.

Answer:

C 0.0361

Step-by-step explanation:

The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.

Given that,

Based on the above information, the calculation is as follows:

\(= 0.19\times 0.19\)

= 0.0361

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Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi

3/4 of the circle is shaded

area of shaded portion = 3/4 x 16pi = 12pi

Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

Answer:

b,c,e,d,a,f

Step-by-step explanation:

Answer

x = 6°

Explanation

The key to solving this is shown in the attached image below

So, we can see that the relation between all of this is that

5x + 17 = ½ [(37x + 5) - (23x - 5)]

5x + 17 = ½ (37x + 5 - 23x + 5)

5x + 17 = ½ (37x - 23x + 5 + 5)

5x + 17 = ½ (14x + 10)

5x + 17 = 7x + 5

5x - 7x = 5 - 17

-2x = -12

Divide both sides by -2

(-2x/-2) = (-12/-2)

x = 6°

Hope this Helps!!!

Answer:

-12 and 14

Step-by-step explanation:

let the be x and y

x+y=2

x-y=26

add it down

2x=28

x=14

x-y=26

14-y=26

y=-12

give me branlist answer

A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

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Answer:  4   1/2

Step-by-step explanation:

Adding all the fractions you get 4 1/2

An equation of the line that is parallel to the given line and passes through the point (-4,-6) is: C. y = -6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Since the line is a horizontal line and it is parallel to the other line, their slopes are equal to 0.

At data point (-4, -6) and a slope of 0, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-6) = 0(x - (-4))

y + 6 = 0  

y = -6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: y =-6

Step-by-step explanation:

Answer:

X = 45

Step-by-step explanation:

Hope it will be helpful for you.

Answer:

For a function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

While a reflection across the x-axis is written as:

g(x) = -f(x)

So, if the negative sign is outside the transformation, like in:

g(x) = -f(x + 2) - 8

We can conclude that this is a reflection over the x-axis.

While if the "x" inside the function has a negative sign, like in:

g(x) = 5*f(-x + 4) - 3

The reflection is over the y-axis.

The newly exposed section will be a triangle.

Cross section is defined as the section or shape which is exposed when something is cut through a straight plane or line.

Square pyramid consists of a square base and 4 triangular faces.

A straight single cut is done through the top to the bottom.

When the square pyramid is cut to half from it's apex, then the resulting sections will be triangles.

There will be only three sides since two sides will be joined at apex.

Hence the resulting cross section is triangle.

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The author's purpose in the text is to teach readers how to make animal silhouette art using simple supplies.

The text provides a clear set of instructions, starting with finding a picture of an animal, copying its outline onto cardboard, cutting out the silhouette, and then using strips of magazine paper to create a colorful design. The author gives specific details on how to cut the strips, glue them to the cardboard, and trim them to make a finished piece of art. The use of the second-person point of view, such as "you will create," suggests that the author intends for the reader to follow the instructions and make their own animal silhouette art. Overall, the text is informative and instructional, providing a step-by-step guide to creating art with readily available materials.

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The complete question is:

One great thing about making art is that you can use almost any supplies. In this project, you will create animal silhouettes from three simple supplies: old magazines, cardboard, and glue.

First, find a picture of an animal that you like. Copy its outline onto a piece of cardboard, and cut out the cardboard silhouette. Next, cut narrow strips from the magazines. The pages you choose will determine what colors the animal will be.

Now, glue the side of the strip by side onto the cardboard shape, with the ends extending beyond the cardboard's edges. Trim the strips carefully along the edges. Ta-da! Your colorful animal art piece is finished.

Which author's purpose is suggested by the text?

The postorder traversal of the binary tree T with an inorder traversal of 1, 2, 3, 4 and a preorder traversal of 4, 2, 1, 3 is (A) 1, 3, 2, 4.

Given the inorder traversal of T as 1, 2, 3, 4 and the preorder traversal as 4, 2, 1, 3, we can deduce the structure of the binary tree T. In the preorder traversal, the first element represents the root node, which is 4. Looking at the inorder traversal, we can identify that the left subtree of the root contains elements 1 and 2, while the right subtree contains element 3.

Based on this information, we can construct the binary tree T as follows:

       4

      / \

     2   3

    /

   1

Now, performing a postorder traversal on this tree, we visit the nodes in the following order: 1, 3, 2, 4. Therefore, the correct postorder traversal of tree T is (A) 1, 3, 2, 4.

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Answer:

Scale Factor is 7.

Step-by-step explanation:

Each value from the model collum is being multiplied by 7 to get the actual bridge length.

Hope this helped.

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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Knowing the height of a rim and the diameter of the rim, we have that the rim diameter is 27.4 in.

The tire diameter can be calculated by adding the rim diameter and two times the tire height.
Formula: Tire diameter = Rim diameter + (2 x Tire height)

Given:
Tire height = 5.2 in
Rim diameter = 17 in

Plug in the given values into the formula to find the value of the tire diameter:
Tire diameter = 17 in + (2 x 5.2 in)
Tire diameter = 17 in + 10.4 in
Tire diameter = 27.4 in

Therefore, the correct answer is 27.4 in.

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The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 ( sides of a hexagon ) , then

sum = 180° × 4 = 720°

(a)

let x be the sixth interior angle , then

90° + 100° + 110° + 120° + 130° + x = 720 , that is

550° + x = 720° ( subtract 550° from both sides )

x = 170°

(b)

the sum of the exterior angles of a polygon is 360°

exterior angle + interior angle = 180°

exterior angle = 180° - interior angle

Then

180° - 90° = 90°

180° - 100° = 80°

180° - 110° = 70°

180° - 120° = 60°

180° - 130° = 50°

180° - 170° = 10°

sum = 90° + 80° + 70° + 60° + 50° + 10° = 360° ← correct total

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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Answer:

7/8+4 there you go I'm help that I help you

Answer:

2 1/8

Step-by-step explanation:

#9:

The largest possible value is 5.  This expression is maximized when x=3 and for any other value of x will cause the expression to be less than 5.

#10:

Since (x-4) is squared, this term is always ≥0.  So whether (x-4)^2(x+3) is positive or negative totally depends on x+3.

x+3≥0 when x≥-3

The answer is [-3, infty)

#11:

We can start solving this by clearing the denominator.

    (3-z)/(z+1) ≥ 1 can be written as 3-z ≥ 1(z+1)

Solving this, we have

    3-z ≥ z+1

      2 ≥ 2z

      1 ≥ z

So, we start with z ≤ 1.

But, we have an issue that for some values of z less than 1 will cause us to end up with a negative value.  That switch from positive values to negative will happen at z = -1, since the sign of the denominator will switch from positive to negative, positive if z > -1 and negative if z < -1.

So this leaves us with z > -1 AND z ≤ 1

The answer is (-1, 1].

Given the function `f(x) = sin x`, `a = π/6`, `n = 4` and `0 < x < π/3`. The degree of the Taylor polynomial is `n=4`.The Taylor polynomial of degree 4 at `x=a=π/6` is given by:

T4(x) = f(a) + f'(a)(x-a) + [f''(a)/(2!)](x-a)² + [f'''(a)/(3!)](x-a)³ + [f⁽⁴⁾(a)/(4!)](x-a)⁴T4(x) = sin(π/6) + cos(π/6)(x - π/6) - [sin(π/6)/(2!)](x - π/6)² - [cos(π/6)/(3!)](x - π/6)³ + [sin(π/6)/(4!)](x - π/6)⁴T4(x) = 1/2 + √3/2(x - π/6) - [1/2!(1/2)](x - π/6)² - [√3/3!(1/2)](x - π/6)³ + [1/4!(1/2)](x - π/6)⁴T4(x) = 1/2 + √3/2(x - π/6) - 1/8(x - π/6)² - √3/48(x - π/6)³ + 1/384(x - π/6)⁴

The remainder term Rn(x) is given by: Rn(x) = [f⁽ⁿ⁺¹)(z)/(n+1)!](x - a)⁽ⁿ⁺¹⁾where z is between x and a. Using Taylor's inequality, we get:|Rn(x)| ≤ [(M|z-a|)^(n+1)]/(n+1)!Where M is an upper bound for |f⁽ⁿ⁺¹)| on the interval from a to z.

Here we have: f(x) = sin(x) and f⁽⁴⁾(x) = sin(x)We have a ≤ z ≤ x ≤ π/3Then we have: f⁽ⁿ⁺¹)(x) = sin(x)M = max| f⁽ⁿ⁺¹)(x) | = max| sin(x) | = 1

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Answer:

48

Step-by-step explanation:

821 rounded down to 800

17 rounded up to 20

820/20 =41

20x41=820

17 x 41 = 697

17 x 51 = 867

Midpoints

697+867/2 = 782

41 +51/2 = 46

46 x 17 = 782

47 x 17 = 799

48 x 17 =816

49 x 17 =833

50 x 17 =850

So, the highest number is 48.

The closest we can get is 48 x 17=816 & without going over 821.

The expression represents the phrase: "7 plus the product of 3 and x." is 7 + 3x. The correct option is C.

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 that the word phrase for the expression is 7 plus the product of 3 and x.

The mathematical form of the expression will be:-

E = 7 plus the product of 3 and x.

E = 7 + 3x

Therefore, the correct expression is 7 + 3x.

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Answer:

1.17

Step-by-step explanation:

(MUCH BETTER!)

From the definition of the sin of an angle, you know:

sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is:

AB -AD = 5.6569 -4.4893 = 1.1676

AB -AD ≈ 1.17 units

Sorry this took me so long to answer!