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Thepotemich [5.8K]
3 years ago
5

At a sandwich shop, Diana can select from 2 types of bread and 5 types of meat. if she randomly selects 1 type of bread and 1 ty

pe of meat, how many possible choices does she have?
Mathematics
2 answers:
WITCHER [35]3 years ago
5 0
She has 10 choices :)
Elena L [17]3 years ago
5 0

Answer:

10 Choices

Step-by-step explanation:

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Duane decided to purchase a $31,000 MSRP vehicle at a 5.5% interest rate for
defon

Answer:

(C)\$506.18

Step-by-step explanation:

Manufacturer's Suggested Retail Price = $31,000

CashBack = $4500

Amount Financed = $31,000-4500 =$26500

Interest rate Per Annum =5.5%

Rate Per Period (Monthly), r =\frac{5.5}{12}\%=\frac{0.055}{12}

Time =5 Years

Number of Periods, n=5 X 12=60 Months

Monthly \:Payment=\dfrac{rP}{1-(1+r)^{-n}}

=\dfrac{\frac{0.055}{12}*26500}{1-(1+\frac{0.055}{12})^{-60}}\\=\$506.18

5 0
3 years ago
The radius of the Earth is roughly twice the radius of the planet Mars. Raj claims that the volume of the Earth must therefore b
Volgvan
The claim is incorrect. Treating the planets as basic spheres, the formula of the volume of a sphere states that volume = (4/3)(pi*r^3), where r is the radius. Since r is raised to the power of three, then doubling the radius would result in a volume that is 8 times larger than the original.
5 0
3 years ago
A race is 7/10 kilometers long. Maya ran 9 of these races. How far did she run altogether? Write your answer in simplest form.
gayaneshka [121]

Answer:

She ran

6 \frac{3}{10} km \: or \: 6.3 \: km

Step-by-step explanation:

To find the answer you multiply the amount of races (9) by the length of each race (7/10 km).

\frac{7}{10}  \times  \frac{9}{1}  =  \frac{63}{10}  \: or \: 6 \frac{3}{10}

8 0
2 years ago
Match the parabolas represented by the equations with their foci.
Elenna [48]

Function 1 f(x)=- x^{2} +4x+8


First step: Finding when f(x) is minimum/maximum
The function has a negative value x^{2} hence the f(x) has a maximum value which happens when x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2. The foci of this parabola lies on x=2.

Second step: Find the value of y-coordinate by substituting x=2 into f(x) which give y=- (2)^{2} +4(2)+8=12

Third step: Find the distance of the foci from the y-coordinate
y=- x^{2} +4x+8 - Multiply all term by -1 to get a positive x^{2}
-y= x^{2} -4x-8 - then manipulate the constant of y to get a multiply of 4
4(- \frac{1}{4})y= x^{2} -4x-8
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is 12- \frac{1}{4}=11.75

Hence the coordinate of the foci is (2, 11.75)

Function 2: f(x)= 2x^{2}+16x+18

The function has a positive x^{2} so it has a minimum

First step - x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4
Second step - y=2(-4)^{2}+16(-4)+18=-14
Third step - Manipulating f(x) to leave x^{2} with constant of 1
y=2 x^{2} +16x+18 - Divide all terms by 2
\frac{1}{2}y= x^{2} +8x+9 - Manipulate the constant of y to get a multiply of 4
4( \frac{1}{8}y= x^{2} +8x+9

So the distance of focus from y-coordinate is \frac{1}{8} to the north of y=-14
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: f(x)=-2 x^{2} +5x+14

First step: the function's maximum value happens when x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25
Second step: y=-2(1.25)^{2}+5(1.25)+14=17.125
Third step: Manipulating f(x)
y=-2 x^{2} +5x+14 - Divide all terms by -2
-2y= x^{2} -2.5x-7 - Manipulate coefficient of y to get a multiply of 4
4(- \frac{1}{8})y= x^{2} -2.5x-7
So the distance of the foci from the y-coordinate is -\frac{1}{8} south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when x=8.5 and y=79.25. The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when x=-2.75 and y=-10.125. Manipulating coefficient of y, the distance of foci from y-coordinate is \frac{1}{8} to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when x=1.5 and y=9.5. The distance of the foci from the y-coordinate is \frac{1}{8} to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0
2 years ago
What is an equation of the line that passes through the points (-4, -6)(−4,−6) and (4, 4)(4,4)?
Alik [6]

Answer:

y=5/4x-1

Step-by-step explanation:

5 0
2 years ago
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