PLEASE HELP!!!! An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data?

Answer:

Option (C).

Step-by-step explanation:

Graphed function is,

f(x) = x² - 2x - 3

     = x² - 2x + 1 - 1 - 3

     = (x² - 2x + 1) - 4

     = (x - 1)² - 4

f(-2x) = (-2x)² - 2(-2x) - 3

        = 4x² + 4x - 3

        = 4(x² + x) - 3

        = 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3

        = 4(x + 0.5)² - 1 - 3

        = 4(x + 0.5)² - 4

        = 4[(x - 1) + 1.5]² - 4

Therefore, parent function 'f' will be a horizontal shrink by 4 units and  shifted 1.5 units to the left.

Option (C) will be the answer.

Answer:

The Large Box Weighs 18 kg, and the small box weighs 6.5 kg

Step-by-step explanation:

Let a= the weight in kg of a large box

Let b= the weight in kg of a small box

Multiply both sides of (1)  by 4 and subtract (2) from (1)

1. 20a+8b=412

2. -3a-8b= -106

17a=306

a=18

and

5*8+2b=103

90+2b=103

2b=13

b=6.5

Answer:

Step-by-step explanation:

This is not a triangle at all. You must have typed the angles incorrectly. A triangle's angles have to add up to 180 and yours only add up to 160...

Answer:

The total number of marbles is 3.4*r

Step-by-step explanation:

We have 25% more red than blue, so we can write the equation:

[tex]red = 1.25*blue[/tex]

We have 60% more green than red, so:

[tex]green = 1.6*red[/tex]

In total we have 'r' red marbles, so:

[tex]red = r[/tex]

The total number of marbles in the collection is the sum of all three amount of marbles:

[tex]total = red + blue + green[/tex]

[tex]total = red + (red/1.25) + 1.6*red[/tex]

[tex]total = r + 0.8*r + 1.6*r[/tex]

[tex]total = 3.4*r[/tex]

The total number of marbles is 3.4*r

Answer:

I believe it's Area = 120cm^2

Step-by-step explanation:

Answer:

solution,

Given: A rhombus

To find: It's area.

Formula to find the area of rhombus:

[tex] = \frac{1}{2} \times d1 \times d2[/tex]

( half of product of diagonals)

Also, in a rhombus ,the diagonals bisects each other.

So,

D1=5*2=10

D2=12*2=24

Area of rhombus:

[tex] \frac{1}{2} \times d1 \times d2 \\ = \frac{1}{2} \times 10 \times 24 \\ = \frac{240}{2} \\ = 120 \: {cm}^{2} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

Step-by-step explanation:

y = x + 1

y = 3x - 2

3x - 2 = x + 1

2x - 2 = 1

2x = 3

x = 3/2 or 1.5

y = 1.5 + 1

y = 2.5 or 2 1/2

(1.5, 2.5)

Answer:

(1.4,2.5)

Step-by-step explanation:

Graphing

As we can see from the attached graphe, the intersection of the two lines, namely the solution, is (1.5,2.5).

So the closest approximation from the list is (1.4,2.5)

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]

Move constant to R.H.S and change its sign:

[tex]x = - \frac{21}{4} + \frac{1}{2} [/tex]

Take the L.C.M

[tex]x = \frac{ - 21 + 1 \times 2}{4} [/tex]

[tex]x = \frac{ - 21 + 2}{4} [/tex]

Calculate

[tex]x = - \frac{19}{4} [/tex]

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

-19/4 is the correct answer for your question

Answer:

32:  median

Step-by-step explanation:

Use the median.  Here the median is the middle value of the data string

8, 29, 32, 31, 33, that is, 32.  

Answer:

  book 25; pen 8

Step-by-step explanation:

If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...

  7b +4p = 207

  5b +5p = 165

Multiply the second equation by 4/5 and subtract the result from the first equation:

  (7b +4p) -4/5(5b +5p) = (207) -4/5(165)

  3b = 75 . . . . simplify

  b = 25 . . . . . divide by 3

Dividing the second equation by 5 gives ...

  b + p = 33

Solving for p, we have ...

  p = 33 -b = 33 -25 = 8

The cost of an exercise book is 25; the cost of a pen is 8.

Answer:

X=20; pqr = 130°

Step-by-step explanation:

They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°

Answer:

651.

Step-by-step explanation:

Note: In the given series it should be -29 instead of 29 because 29 cannot be a term of AP whose first term is 91 and common difference is -6.

Consider the given series is

[tex]91+85+79+...+(-29)[/tex]

It is the sum of an AP. Here,

First term = 91

Common difference = 85 - 91 = -6

Last term = -29

nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]-29=91+(n-1)(-6)[/tex]

[tex]-29-91=(n-1)(-6)[/tex]

[tex]\dfrac{-120}{-6}=(n-1)[/tex]

[tex]20=(n-1)[/tex]

[tex]n=20+1=21[/tex]

Sum of AP is

[tex]Sum=\dfrac{n}{2}[\text{First term + Last term}][/tex]

[tex]Sum=\dfrac{21}{2}[91+(-29)][/tex]

[tex]Sum=\dfrac{21}{2}[62][/tex]

[tex]Sum=651[/tex]

Therefore, the sum of given series is 651.

Answer:

[1  26  7]

Step-by-step explanation:

[1  26  7]

one row three column

==========================================================

Explanation:

We have a 1x3 matrix multiplied with a 3x3 matrix. This is a valid operation since the number of columns in the first matrix matches with the number of rows in the second matrix.

The resulting answer matrix will be 1x3 as it takes the number of rows of matrix A and the number of columns from matrix B, helping forming the answer matrix C.

The answer matrix looks like

[tex]C = \begin{bmatrix}x & y & z\end{bmatrix}[/tex]

where x, y and z are placeholders for actual numbers.

To get the value of x, we apply the dot product of the left matrix with the first column of the right matrix

x = (-1)(3)+(2)(2)+4(0) = -3+4+0 = 1

We'll do a similar set of steps to find y

Apply the dot product on the second column this time

y = (-1)(6)+2(4)+4(6) = -6+8+24 = 26

and the third column as well

z = (-1)(1)+2(0)+4(2) = -1+0+8 = 7

Since x = 1, y = 26 and z = 7, we can say

[tex]C = \begin{bmatrix}x & y & z\end{bmatrix}[/tex]

becomes

[tex]C = \begin{bmatrix}1 & 26 & 7\end{bmatrix}[/tex]

Answer:

5/8

Step-by-step explanation:

72 = 16/10 of 45

45 = 10/16 = 5/8 of 72

Answer:

Step-by-step explanation:

The statement

Twice the difference of a number and 8 is written as

2( b - 8)

The expression is greater than - 21 so we represent it by the > sign

So we have

2( b - 8) > - 21

Expand

2b - 16 > - 21

2b > - 21 + 16

2b > - 5

Divide both sides by 2

Hope this helps you

Answer:

966.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

Thus, you can divide 333.27 by 34.5%.

You derive 966.

- Hope this helped.

Question:

The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.

What is the value of h?

Answer:

A. 5

Step-by-step explanation:

Given

Solid Shape: Cone

Volume = 250/7

Diameter = Height

Required

Find the height of the cone

Provided that the diameter (D) and the height (h) are equal; This implies that

D = h ------ (1)

Also, Diameter (D) = 2 * Radius (r)

D = 2r

Substitute 2r for D in (1)

2r = h

Multiply both sides by ½

½ * 2r = ½ * h

r = ½h

Volume of a cone is calculated by;

Volume = ⅓πr²h

⅓πr²h = 250/7

Substitute ½h for r

[tex]\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Take π as 22/7, the expression becomes

[tex]\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]

Open the bracket

[tex]\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}[/tex]

Multiply both sides by 7

[tex]7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7[/tex]

[tex]\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250[/tex]

Multiply both sides by 3

[tex]3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3[/tex]

[tex]22 * \frac{1}{4}h^2 * h = 750[/tex]

Multiply both sides by 4

[tex]4 * 22 * \frac{1}{4}h^2 * h = 750 * 4[/tex]

[tex]22 * h^2 * h = 3000[/tex]

[tex]22 * h^3 = 3000[/tex]

Divide both sides by 22

[tex]h^3 = \frac{3000}{22}[/tex]

[tex]h^3 = 136.36[/tex]

Take cube root of both sides

[tex]h = \sqrt[3]{136.36}[/tex]

[tex]h = 5.15[/tex]

[tex]h = 5[/tex] (Approximated)

Answer:

( x-2)^2 + ( y+1) ^2 = 25

Step-by-step explanation:

The equation of a circle is

( x-h)^2 + ( y-k) ^2 = r^2  where ( h,k) is the center  and r is the radius

The center is ( 2,-1) and the radius is the difference from the center to a point on the circle

(2,4) and (2,-1)

 since x is the same the radius is (4- -1) = 5

( x-2)^2 + ( y--1) ^2 = 5^2

( x-2)^2 + ( y+1) ^2 = 25

Answer:

10 triangles

Step-by-step explanation:

You will make 10 triangles

If you draw all of the diagonals from one vertex of a regular decagon, you can make 8 triangles.

From a given vertex of a polygon with n sides, (n-3) diagonals can be drawn. Every diagonal drawn from a single vertex of a polygon creates one triangle within the polygon, except for the last diagonal, which creates two triangles. This means that n-2 triangles can be drawn into a given n-sided polygon.

Number of sides in a decagon = n = 10

Number of triangles in a decagon if you draw all of the diagonals from one vertex = n - 2 = 8

Learn more about number of triangles in a regular polygon here

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Answer: 42.7%

Step-by-step explanation:

A = p (1+r/n)^nt

1500 = 1000 (1 + r/4)^4x1

r = 42.673

The  interest rate would you need to have in order to reach this goal if the amount is compounded quarterly is 42.7%

Given that,

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

[tex]A = p (1+r\div n)^{nt][/tex]

[tex]1500 = 1000 (1 + r\div4)^{4\times 1}[/tex]

So, r = 42.673

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Answer:

The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.

Step-by-step explanation:

In order to convert the tax-free interest rate of 3% per year to the comparable taxable interest rate, one should consider that 3% is the interest rate after the marginal tax discount. If you are at the 24% marginal tax bracket, the comparable rate is:

[tex]r*(1-0.24)=0.03\\r=\frac{0.03}{0.76}\\r=0.0395\\r=3.95\%[/tex]

The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.

The comparable tax rate is 3.95%, so you should choose the 4.5% taxable account option.

Since the rate is 3% per annum, the other rate should be 4.5% and there is tax rate of 24%

So,

rate (1 - 24%) = 3%

rate = 3.95%

Learn more about the rate here: https://brainly.com/question/13021566

Answer:

A

Step-by-step explanation:

The answer is A because in the triangle, the two smaller sides added up have to be more than the bigger side, or equal, if it is a right triangle. so 4 is the smallest 4+6=10, so it does not work, but lets see if it is a right triangle

4^2+6^2=16+36=52. it would have to equal 100 to be a right triangle. Use Pythagorean thereon.

For a triangle, the any two sides must be greater than the third side.The measure of AC cannot be equal to 4

A triangle has three sides and angle. For a triangle, the any two sides must be greater than the third side.

Given the following parameters

AB = 10 and

BC = 6

The measure of AC must be 8 for the theorem above to be true

6 +8 > 10

6 +10 > 8

10 + 8 > 6

Hence the measure of AC cannot be equal to 4

Learn more on triangles here: https://brainly.com/question/23945265

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Answer:

i think its -$2

Step-by-step explanation:

The expected value of profit or loss is ZERO

Picker Wheel is a wheel spinner for a random picker. Various functions & customization. Enter choices or names, spin the wheel to decide a random result.

We have

If the wheel lands on win, you win $5;

on lose, you win nothing.

It costs $2 to play.

According to the question

Win written four times and Lose written six times.

P (W) = 4/10 = 0.4

P (L) = 6/10  = 0.6

x                  net                p(x)         xP(x)

Win            5 - 2  = 3         0.4          1.2

Loose        0 - 2  = -2        0.6         -1.2

∑xP(x) = 1.2 - 1.2 = 0

Hence , expected value  of profit or loss is  ZERO

or

You can say expected value is 2  $ against 2$ cost

5(0.4) + 0(0.6) = 2    against 2 $ ticket.

To learn More about spinning wheel game from here

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31.7 + 42.8 + 26.4 + x/4 = 39.1

Add up all the plain numbers on the left side:

100.9 + x/4 = 39.1

Subtract 100.9 from each side:

x/4 = 39.1

Multiply each side by 4:

x = 156.4

Answer:

Step-by-step explanation:

To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:

31.7 + 42.8 + 26.4 + x = 100.9 + x

The sum of terms ind the numerator of the fraction on the right.

39.1 + 100.9 + x= 140 + x

Next step is to cancel out the denominators as they are equal.

Now we are left with

100.9+x = 140+x

Rearrange and solve

To get x = 156.4

Answer:

the leanth of the track is 1/2 miles long.

Step-by-step explanation:

Im sorry that i couldn't complete all the questions, I had a family thing to go to so sorry.

Answer and Step-by-step explanation:

The domain of a function is the values the invariable can assume to result in a real value for the variable. In other words, it is all the values x can be.

Since it's related to area, the values of x has to be positive. The domain must be, then:

[tex]-6x^{2} + 105x - 294 = 0[/tex]

Solving the second degree equation:

[tex]\frac{-105+\sqrt{105^{2} - 4(-2)(-294)} }{2(-6)}[/tex]

x = 3.5 or x = 14

The domain of this function is 3.5 ≤ x ≤ 14

The maximum area is calculated by taking the first derivative of the function:

[tex]\frac{dA}{dx} = -6x^{2} + 105x - 294[/tex]

A'(x) = -12x + 105

-12x + 105 = 0

-12x = -105

x = 8.75

A(8.75) = [tex]-6.8.75^{2} + 105.8.75 - 294[/tex]

A(8.75) = 165.375

The maximum area of the garden is 165.375 square units.

The Range of a function is all the value the dependent variable can assume. So, the range of this function is: 0 ≤ y ≤ 165.375, since this value is the maximum it will reach.

A(x) = 100

[tex]100 = -6x^{2} + 105x-294[/tex]

[tex]-6x^{2} + 105x - 394 = 0[/tex]

Solving:

[tex]\frac{-105+\sqrt{105^{2}-4(-6)()-394} }{2(-6)}[/tex]

x = 5.45 or x = 12.05

The values of x that produces an area of 100 square units are 5.45 and 12.05

Answer:

Please post useful questions thanks!

Step-by-step explanation:

Answer:

Length= 58

width= 26

Step-by-step explanation:

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

Answer:

B. 642.22 units squared

Step-by-step explanation:

Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.

That means corresponding sides and heights have the same ratios.

We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.

We can now write:

QP / MN = LS / LR

25 / 34 = x / (x + 10)

Cross-multiply:

34 * x = 25 * (x + 10)

34x = 25x + 250

34x - 25x = 250

9x = 250

x = 250/9 ≈ 27.78 units

So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.

The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:

A = (1/2) * b * h

A = (1/2) * 34 * 37.78 ≈ 642.22 units squared

The answer is thus B.

~ an aesthetics lover