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anyanavicka [17]
2 years ago
7

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the num

ber of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Mathematics
1 answer:
pochemuha2 years ago
4 0

Answer:

Its A

Step-by-step explanation:

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Henry is at the end of a three-year lease for his car. his leasing company says that his car is currently worth $12,780, a 72% r
ahrayia [7]
The residual value or some may term it the salvage value is the value of an item after a certain period of time. Let x be the original msrp (manufacturer suggested retail price), we can calculate for the salvage value as follows:
                                               12,780 = 0.72x
The value of x from the equation generated above is 17,750. Therefore, the original msrp is equal to $17,750.
8 0
2 years ago
Read 2 more answers
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes
Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2\times 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 \times 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled \triangle AOB.

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = \dfrac{Total\ distance}{Total\ time}

\Rightarrow \dfrac{74.28}{5} = 14.86\ knots

6 0
2 years ago
What is the pattern in the values as the exponents increase? Powers of 2 Value 2 Superscript negative 5 StartFraction 1 Over 32
Tatiana [17]

Answer:

(D)Multiply the previous value by 2

Step-by-step explanation:

\left|\begin{array}{c|c}$Powers of 2&Value\\2^{-5}&\frac{1}{32}\\\\2^{-4}&\frac{1}{16}\\\\2^{-3}&\frac{1}{8}\\\\2^{-2}&\frac{1}{4}\\\\ 2^{-1}&\frac{1}{2}\\\\2^{0}&1\end{array}\right|

From the given table, we observe that the negative power of 2 reduces by 1 at each step.

2^{-5}X2=2^{-4}\\2^{-4}X2=2^{-3}\\2^{-3}X2=2^{-2}

Therefore, as the exponents increase, we multiply the previous value by 2 to obtain the next value.

The correct option is D.

6 0
2 years ago
Read 2 more answers
A sample of n = 25 individuals is selected from a population with µ = 60 and sigma = 10 and a treatment is administered to the s
Nadusha1986 [10]
Fgxnnxgfxgnfgfnngfngfngfgnf
3 0
2 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
2 years ago
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