The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?

Answer:

graph a: $10 dollars an hour

graph b: 10

Step-by-step explanation:

slope is calculated by rise over run ([tex]\frac{rise}{run}[/tex]) which means how many the line goes up divided by how many the line goes over (to the right)

negative slope is how many the line goes down divided by how many the line goes over (to the right)

Answer:

x^2 + {a/(a + b) + (a + b)/a}x + 1 = 0

Delta =  {a/(a + b) + (a + b)/a}^2 - 4

         =  {a/(a + b)}^2 + {(a + b)/a}^2 + 2 - 4

         =  {a/(a + b)}^2 + {(a + b)/a}^2  - 2

         =  {a/(a + b) - (a + b)/a}^2

If a is not equal to zero and a is not equal to -b => delta is always larger than 0

=>  Solution 1 =  - [ {a/(a + b) + (a + b)/a} + |{a/(a + b) - (a + b)/a}| ]/2

=>  Solution 2 = - [ {a/(a + b) + (a + b)/a} - |{a/(a + b) - (a + b)/a}| ]/2

Hope this helps!

:)

Answer:

A.) 4991/157216

B.) 2401/1336336

C.) 16399/314432

Step-by-step explanation:

Given the following :

Granny Smith = 23

Honey crisp = 14

Red delicious = 31

Probability = (number of required outcome / number of possible outcomes)

Number of possible outcomes = 23 + 14 + 31 = 68

With replacement :

A.) one of each :

P(granny Smith) × P(Honey crisp) × P(Red delicious)

P(granny Smith) = 23/68

P(Honey crisp) = 14/68 = 7/34

P(red delicious) = 31/68

(23/68 × 7/34 × 31/68) = 4991/157216

B) 4 honey crisp:

P(4 Honey crisp) = P(honey crisp) × P(honey crisp) × P(honey crisp) × P(honey crisp)

7/34 × 7/34 × 7/34 × 7/34 = 2401/1336336

C.) 2 granny Smith and 1 red delicious

P(granny Smith) × P(granny Smith) × P(red delicious)

23/68 × 23/68 × 31/68 = 16399/314432

Answer:

96

Step-by-step explanation:

Triangles (front and back)

There are two right triangles -- front and back.

One triangle = 1/2*h*b

h = 3

b = 4

One triangle = 1/2 * 3 * 4

One triangle = 6

two triangles = 2*6 =12

Rectangle using the Net

Area = L * W

L = 3 + 4 + 5 = 12

W = 7

Area = 12 * 7 = 84

Total Area

Area = 12 + 84

Area = 96

Answer:

[tex]z = 362\,botellas[/tex]

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)

La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:

[tex]x = \frac{49\,L}{0.25\,\frac{L}{botella} }[/tex]

[tex]x = 196\,botellas[/tex]

La cantidad remanente de yogurt es:

[tex]V_{r} = 132\,litros - 49\,litros[/tex]

[tex]V_{r} = 83\,litros[/tex]

Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:

[tex]y = \frac{83\,litros}{0.5\,\frac{litros}{botella} }[/tex]

[tex]y = 166\,botellas[/tex]

Finalmente, el total de botellas a llenar es:

[tex]z = 196\,botellas + 166\,botellas[/tex]

[tex]z = 362\,botellas[/tex]

Answer:

100 children

150 adults

Step-by-step explanation:

c- children

a- adults

---------------

we get equations as per question:

Children 100, adults 150

Answer:

Step-by-step explanation:

I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule.  Do that by finding the determinant of the matrix, |A|.  The matrix A looks like this:

2   -2   1

-1     3   2

1    -4   -3

and we find the determinant of a 3x3 by expanding it.  Do that by picking up the first 2 columns and throw them on at the end, like this:

2   -2    1     2   -2

-1     3    2    -1    3

1    -4    -3    1    -4

and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:

[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to

-18 - (-19) = 1

So the determinant of the matrix A is |A| = 1.

Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:

2    -7     1     2     -7

-1      0     2    -1     0

1      1     -3     1      1

and find the determinant of y:

[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to

-15 - (-17) = 2

So the detminant of y is |Ay| = 2

We can solve for the variable now by dividing Ay by A:

2 / 1 = 2

So the solution for y = 2

Answer: 68

Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term

Answer: x = 3

Step-by-step explanation:

From the question,

5x² – 18 = 27

Collect the like terms

5x² = 27 + 18

5x² = 45

We can th n divide both side by 5 which is the coefficient of x²

5x²/5 = 45/5

x² = 9

To get the value of x, we find the square root of 9

x² = 9

x =✓9

x = 3

The value of x is 3

Answer:

There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.

Step-by-step explanation:

Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 2x + 1

(a)

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = 2(2) + 1 = 4 + 1 = 5

(b)

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus

[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]

(c)

To evaluate the inverse function substitute x = 7, that is

[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Answer:

The answer to your question: Similar

Step-by-step explanatioN

i picked this answer because they have one comparison- same shape

what is comparison- the same features in something  between 2 objects or more

this also means similar

so it is similar

Answer:

Similar

Step-by-step explanation:

Answer:

The figure is a composite shape.

Theres 1 triangle and 1 rectangle

The formula to find the area of the triangle is 1/2 x base x height

1/2 x 7 x 3 = 10.5 units^2

The formula to find the area of the rectangle is base x height

7 x 3 = 21 units^2

Then add up all the areas to find the area of the entire shape.

10.5 units^2 + 21 units^2 = 31.5 units^2

plz mark brainliest if this helped :)

[tex]\frac{30}{6+4}[/tex]

[tex]\frac{30}{10}[/tex]

[tex]=3[/tex]

[tex]3*6:3*4[/tex]

[tex]18:12[/tex]

Answer:

1 and 4

Step-by-step explanation:

1 and 4 are similar

have 3 congruent angles

Answer: The slope is infinite

Step-by-step explanation:

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.

Answer:

Subtract  12  from  7 = -5

Answer:

C

Step-by-step explanation:

to add the two equations, you have to make sure that the y's are the same. you would do this by multiplying each equation by the other equation's y variable

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

So she needs sections that are 1/7th of a yard long

There are 7 'sevenths' in one yard

Multiply this value by the number of yards:

7 x 7 = 49

The answer would be D. 49

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Answer:

2

Step-by-step explanation:

We can find the slope between two points by using

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

   = (3 - -3)/(0 - -3)

   = (3+3)/(0+3)

   = 6/3

   =2

Answer:

The slope of the line is 2

Step-by-step explanation:

using rise/run will help you figure this out :)

Answer:

3/6 of a bag of candy

Step-by-step explanation:

When you do butterfly method, u may have learned or not but u do.

3/10, 3/6

and you multiply across

So, 6x3=18 and 10x3=30

and 3/6 has a higher value, so its correct

Answer:

First number: 6

Second number: 16

Third number: 32

Step-by-step explanation:

x + y + z = 54

z = 2y

y = x + 10

Now you can substitute y = x + 10 into z = 2y

The equation becomes z = 2x + 20

Now plug it into the main equation.

x + x + 10 + 2x + 20 = 54

4x + 30 = 54

4x = 24

x = 6

y = 16

z = 32

A prism is a three-dimensional shape with the same cross-section all the way through.

A prism is a solid shape that is bound on all its sides by plane faces.

A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Hence, a prism is a three-dimensional shape with the same cross-section all the way through.

Learn more about prisms, click;

https://brainly.com/question/29722724

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Answer:

63/65

Step-by-step explanation:

the angles are in fourth and third quadrants so all the sin and cos values are minus

Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

Answer:

1.60 euros

Step-by-step explanation:

2.30 times 8 = 18.40

20-18.40 = 1.60

Answer:

The triangle is an acute scalene triangle

Step-by-step explanation:

None of the sides have the same length so the triangle is scalene

All of the angles are less than 90 degrees so all of the angles are acute

The triangle is an acute scalene triangle