The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree

Answer:

[tex]2.6334 \cdot 10^{-5}[/tex]

Step-by-step explanation:

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

To multiply it , first we multiply the numbers.

46.2  times 5.7 is 263.34

Now we multiply the exponents. To multiply exponents we apply exponential property.

[tex]a^m \cdot a^n= a^{m+n}[/tex]

When the exponents with same base are in multiplication then we add the exponents

[tex]10^{-1} \cdot 10^{-6}=10^{-7}[/tex]

[tex](46.2 \cdot 10^{-1})(5.7 \cdot 10^{-6})[/tex]

[tex]263.34 \cdot 10^{-7}[/tex]

Now we write it in scientific notation. Move the decimal point after the first number. So we move decimal point 2 places to the left

[tex]2.6334 \cdot 10^2 \cdot 10^{-7}[/tex]

[tex]2.6334 \cdot 10^{-5}[/tex]

Hello!

Answer:

249

Step-by-step explanation:

83

 3  x

___

249

Hope this helps! ~Pooch ♥

Answer:

[tex]P(x)=x^3-11x^2+43x-65[/tex]

Step-by-step explanation:

If the complex number [tex]3-2i[/tex] is a root of a cubic function, then the complex number [tex]3+2i[/tex] is a root too. Thus, the cubic function has three known roots [tex]5,\ 3-2i,\ 3+2i[/tex] and can be written as

[tex]P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.[/tex]

Answer:

_______________________________________________________

Note that this multiplication problem has two (2) multiplicands; that is, two (2) numbers being multiplied by each other;  which are:  "56" and "213"

The "product" refers to the number obtained when multiplicands in a multiplication problem are multiplied together.

In this case, the product given is:  " 103 " ; which is smaller than one of the "multiplicands" in the problem — specifically, "213" !

This does not make sense; and this along tells us that the answer — "213" ; is incorrect.

________________________________________________

Furthermore, if we multiply the two (2) given multiplicands:

  56 * 213  ;  we get:  " 11,928 " ;  which is much greater than:  " 103 " .  

________________________________________________

Hope this answer is of help to you!

   Best wishes in your academic endeavors

            — and within the "Brainly" community!

________________________________________________

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

The slope of the function represents the cost of each additional month of membership, while the y-intercept represents the initial cost of joining the gym.

The slope of the function C(m) = 50m + 79.50 represents the cost of each additional month of gym membership. In this case, the slope is 50, meaning that for every additional month of membership, the cost increases by $50.

The y-intercept of the function, which is 79.50, represents the initial cost of joining the gym. This can be considered as the one-time fee or the cost for 0 months of membership.

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Answer:

He translated them the wrong way.

It should of gone up 2 and right 2 not down 2 and left 2.

The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)

Please mark brainliest would rly help.

Step-by-step explanation:

Answer:

5x-3 or x-3

Step-by-step explanation:

I don't know what are the choices, so I'll just factor the whole thing. Choose the ones that fit.

-3 + -15 = -18

-3 * -15 = 9*5

5x^2-15x-3x+9

5x(x-3)-3(x-3)

(5x-3)(x-3)

Answer:

5x - 3

Step-by-step explanation:

APEX

Answer:

c 61 units but it should be under a square root

Step-by-step explanation:

CA=6

CB=5

5^2+6^2=AB^2

61=AB^2

The Option C is partially correct , the answer must be under a square root as [tex]\;\sqrt {61} {\text{ units}}[/tex].

Further explanation:

The pythagorean theorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.

It can be mathematically expressed as,

[tex]{h^2} = {p^2} + {b^2}[/tex]  

Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.

Step by step explanation:

Step 1:

It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] it is established as right angle triangle.

First determine the perpendicular and the base of the triangle.

It can be seen that there are 5 boxes between the point [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]{\text{B and C}}[/tex].

Therefore, the perpendicular of the triangle [tex]AC[/tex] is [tex]{\text{6 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is  .

Step 2:

Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}A[/tex].

The distance between [tex]B{\text{ and }}A[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].

The length of the hypotenuse [tex]AB[/tex] can be calculated as,

[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2} &= {6^2} + {5^2}\\{h^2} &= 61\\h &= \sqrt {61}\\\end{aligned}[/tex]  

Therefore, the distance between [tex]B{\text{ and }}C[/tex] is [tex]\sqrt {61}[/tex] units.  

Thus, option C is partially correct , the answer must be under a square root as [tex]\sqrt {61}[/tex] units.

Learn more:  

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Pythagoras theorem.

Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum

Answer:

They buy [tex]\frac{7}{8}[/tex] of cheese.

Step-by-step explanation:

When adding two fractions with the same denominator, you simply add the two numerators (numbers on top):

[tex]\frac{3}{8} + \frac{4}{8}  = \frac{7}{8}[/tex]

So they buy [tex]\frac{7}{8}[/tex] of cheese.

g(x) = f(x) + 3

Since you know f(x) = 3x - 2, you can plug in (3x - 2) for "f(x)" in the equation:

g(x) = f(x) + 3

g(x) = (3x - 2) + 3

g(x) = 3x - 2 + 3

g(x) = 3x + 1

Answer:

the answer is 44

Step-by-step explanation:

the pattern is 4,5,6,7,8 so then you would add 9 to get 44

Final answer:

The pattern in the given list of numbers is that each number increases by consecutively larger increments of 1. By continuing this pattern, adding 9 to the last number (35), we determine the next number in the series to be 44.

Explanation:

The given list of numbers is 5, 9, 14, 20, 27, 35, and we are asked to identify the pattern to find the next number in the series.

Let's look at the differences between consecutive terms: 9 - 5 = 4, 14 - 9 = 5, 20 - 14 = 6, 27 - 20 = 7, 35 - 27 = 8.

We can see that with each step, the difference increases by 1. This pattern suggests that the next difference should be 9.

To find the next number, we add 9 to the last number in the series: 35 + 9 = 44. Therefore, the next number in the series is 44.

Answer: The answer would be 36

Step-by-step explanation:

9×4=36

Answer:

(-2, 0)

Step-by-step explanation:

Use elimination: add the two systems. Because the left is equal to right, you are adding the same thing and it's legal.

-x+3y=2

+ (x+y=-2)

Add each term

-x+x + 3y+y = 2+ -2

4y=0

y=0

x+y=-2

x+0=-2

x=-2

Answer:

x=-2, y=0

Step-by-step explanation:

-x+3y=2

X+y=-2

We can add these two equations together to eliminate x

-x+3y=2

x+y=-2

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4y = 0

Divide each side by 4

4y/4 = 0/4

y=0

Now we still need to find x

x+y = -2

Substitute x=0

0+y = -2

y= -2

The width of the rectangle is 5.55 ft and the length is 19.425 ft. The perimeter of the rectangle is 25.95 ft and the area is 107.95875 sq ft.

To find the width of the rectangle, we can set up the equation

5/2 = 13.875 / width

Solving for width gives us width = 5.55 ft. Therefore, the length of the rectangle is 13.875 + 5.55 = 19.425 ft.

The perimeter of a rectangle is given by the formula 2(length + width). Substituting the given values, we get the perimeter to be 2(19.425 + 5.55) = 25.95 ft.

The area of the rectangle is given by the formula length * width. Substituting the given values, we get the area to be 19.425 * 5.55 = 107.95875 square feet.

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Answer:

61.60

Step-by-step explanation:

Answer:

The answer is $61.60

Step-by-step explanation

The wholesale price is 44$, but it will be marked up 40% which in decimal form is .40. You multiply that by 44 to get 17.6, and since its mark up you add that number to 44 to get $61.6

Hello!

Divide 528 and 264. It will give you 2.

Now, multiply 35 and 2.

Answer: 70

Hope this helps! ~Pooch ♥

Answer:

Probability of rolling an even number then rolling an odd number = 1/4

Step-by-step explanation:

When we roll a fair six-sided die twice,

The pair of combinations are

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(5,1),(6,2),(6,3),(6,4),(6,5),(6,6)

There are 36 possibilities

The odd numbers are 1,3 and 5

even numbers are 2,4 and 6

Possibilities of rolling an even number then rolling an odd number

(2,1),(2,3),(25)

(4,1),(4,3),(4,5)

(6,1),(6,3),(6,5)

There are 9 possibilities

Probability of rolling an even number then rolling an odd number = 9/36 = 1/4

Answer:

q=135 degrees

p=45 degrees

Step-by-step explanation:

For q:

q is 135 degrees because alternate exterior angles are congruent when L1 is parallel to L2 intersected by L3.

For p:

p is 45 degrees because L2 is a straight line so it has a measurement of 180 degrees. So to find p you do 180 degrees-q.

Which is 180-135=45 degrees

Parallel lines have the same slope.

If y = 2x + 4, then parallel line has equal y = 2x + b.

The line passes throught the point (3, 8). Put the coordinates of the point to the equation of a line:

8 = 2(3) + b

8 = 6 + b      subtract 6 from both sides

2 = b

ANSWER: [tex]\frac{2}{-5}[/tex]

EXPLANATION:

We can use the slope formula and input the x and y values to solve for the slope.

[tex]\text{Slope Formula}: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}=m[/tex]

[tex]\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m[/tex]

The slope of the line is [tex]\frac{2}{-5}[/tex]

The slope of the line that passes through the points (2, 5) and (7, 3) is -2/5.

To find the slope of the line passing through the points (2, 5) and (7, 3), we can use the formula for slope:

The slope of the line that passes through the points (2, 5) and (7, 3) can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

Slope (m) = (3 - 5) / (7 - 2) = -2/5

Therefore, the slope of the line is -2/5.

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ANSWER: SSS, SAS, ASA, AAS, or HL

EXPLANATION:

SAS: Three congruent sides on both triangles.

SAS: Two congruent sides and a congruent included angle on both triangles.

ASA: Two congruent angles and a congruent included side on both triangles.

AAS: Two congruent angles and a congruent side on both triangles.

HL: Two right triangles with one congruent leg and congruent hypotenuses.

Answer:x=20

Step-by-step explanation:

2(3x+1) = 6x+2

since xy and yz are the parts of a midpoint they are equal to eachother

so 6x+2=5x+22

if you subtract 5x from both sides you get x+2 = 22 then you subtract 2 from both sides so you have x=20

Answer:

x = - 3 and x = - 4

Step-by-step explanation:

(a)

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x + 3 = 0 ⇒ x = - 3

(b)

Equate f(x) to 5, that is

[tex]\frac{2x+3}{x+3}[/tex] = 5 ( cross- multiply )

5(x + 3) = 2x + 3 ( distribute left side )

5x + 15 = 2x + 3 ( subtract 2x from both sides )

3x + 15 = 3 ( subtract 15 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Answer:

y = -3x+5  This has a negative slope

Step-by-step explanation:

The first step is to find the slope.  We can use the formula

slope = (y2-y1)/(x2-x1)

        = (-10--1)/(5-2)

       = (-10+1)/3

        = -9/3

       =-3

Next we will use the point slope form of the equation of a line

y-y1 = m(x-x1)

y--1 = -3(x-2)

y+1 = -3(x-2)

Distribute the -3

y+1 = -3x -3*(-2)

y+1 = -3x+6

Subtract 1 from each side

y+1-1 = -3x+6-1

y = -3x+5

This is in the slope intercept form of the equation.

My answer differs from the options because I have a negative slope

Answer:

4.45058959259........

And it still goes

The exact value of sin(17π/12) is -(√2 + √6)/4.

To find the exact value of sin(17π/12), we need to express 17π/12 as a sum or difference of angles for which we know the sine values. Since 17π/12 is not a standard angle, we'll use the angle addition formula.

17π/12 = (3π/4) + (2π/3)

Now, we'll use the sine addition formula:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

Here, A = 3π/4 and B = 2π/3:

sin(3π/4 + 2π/3) = sin(3π/4)cos(2π/3) + cos(3π/4)sin(2π/3)

Now, we need to find the sine and cosine values of 3π/4 and 2π/3:

sin(3π/4) = √2/2, cos(3π/4) = -√2/2

sin(2π/3) = √3/2, cos(2π/3) = -1/2

Plugging these values into the formula:

sin(17π/12) = (√2/2 * -1/2) + (-√2/2 * √3/2)

= -√2/4 - √6/4

= -(√2 + √6)/4

So, the exact value of sin(17π/12) is -(√2 + √6)/4.

Answer:

$900

Step-by-step explanation:

It cost each person $90 to go on the trip when you divide 270/3. You can find out how much it would cost for 10 people to go on the trip by multiply 10X90.

To determine how many tickets of each type were sold, two equations were formulated and the system was solved using the elimination method, resulting in 600 covered pavilion seats and 800 lawn seats sold.

To solve this problem we need to set up a system of equations based on the information provided. Let's define two variables: x for the number of covered pavilion seats sold, and y for the number of lawn seats sold. We know that together, a total of 1400 tickets were sold and the total receipts from these sales were $24,000. We can set up the following equations:

1) x + y = 1400 (total number of tickets sold)

2) 20x + 15y = 24,000 (total revenue from ticket sales)

To solve the system of equations, you can use either substitution or elimination method. Let's use the elimination method by multiplying the first equation by -15 and adding it to the second equation to eliminate y.

-15x - 15y = -21,000

20x + 15y = 24,000

Add the two equations:

5x = 3,000

Divide both sides by 5:

x = 600

Now we can substitute x back into the first equation to solve for y:

600 + y = 1400

y = 800

Therefore, 600 covered pavilion seats and 800 lawn seats were sold.

Hey there!