One winter day, the temperature at noon was -9f The temperature then rose by ​1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?

Answer:

25%???

Step-by-step explanation:

I think

Answer:

Question 1:

Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.

Question 4:

The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.

Step-by-step explanation:

Question 1:

Question 4:

Answer:

y=1, x=3   or (3,1)

Step-by-step explanation:

when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.

Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.

The solution for the given linear system from the elimination method is x=3 and y=1.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

-2x+4y=-2 (1)

2x+3y=9   (2)

You should sum the equations 1 and 2, for eliminate the variable x.

-2x+4y+2x+3y=-2+9

7y=7

y=1

If y=1 from equation 2, you have:

2x+3*1=9

2x+3=9

2x=9-3

2x=6

x=3

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Based on the amounts Julia paid and the percentage rates, the missing amounts are:

Julia's social security taxes were:

= 6.2% x 2,000

= $124.

Medicare amount:

= 1.45% x 2,000

= $29

Federal income tax:

= 260 / 2,000 x 100%

= 13%

State income tax:

= 120 / 2,000 x 100%

= 6%

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Kate can see across the horizon by 3.33 times further than Paul.

The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.

The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= Volume of Kate/Volume of Paul

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Answer:

C.  -18

Step-by-step explanation:

Scalar Product (Dot Product) of two vectors

[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]

[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]

[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]

Given:

⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)

⇒ v₁ · v₂ = 6 + (-24)

⇒ v₁ · v₂ = 6 - 24

⇒ v₁ · v₂ = -18

Answer:

[tex]y = \frac{5}{4} x + 25[/tex]

Step-by-step explanation:

We were told that the equation of the line we are looking for is perpendicular to

[tex]y = - \frac{4}{5} x + 5[/tex]

We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore

[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]

[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]

[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]

Answer:

Carolyn

Step-by-step explanation:

Carolyn:

45% = 0.45

We multiply the orignal price with 0.45 to see how much it increased.

[tex]20(0.45) = 9[/tex]

We then add it to the original price

[tex]20+9 =29[/tex]

Emily:

31% = 0.31

We multiply the orignal price with 0.31 to see how much it increased.

[tex]20(0.31) = 6.2[/tex]

We then add it to the original price

[tex]20+6.2=26.2[/tex]

That means that Carolyn is correct.

Answer:

I'm Pretty sure

Step-by-step explanation:

Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...

Step 2: Calculate quartile differences. ...

Step 3: Create a stacked column chart. ...

Step 4: Convert the stacked column chart to the box plot style.

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

   The angle of elevation is the angle of which something, in simple terms, is raised from a straight plane. If it is the angle downwards, we call this the angle of depression.

      An image giving an example, or a visual description, is attached.

It comes from Khan Academy.

Step-by-step explanation:

THREE SOLUTION TO PROVE ITS FALSE

1:2

Multiply by 3 on each side

1*3 : 2*3 = 3:6

This is not the same as 6:3

3 apple:6 bananas is not the same as 6 apples: 3 bananas

1:2 is equivalent to 6:12 not 6:3

because 1x6=6 2×6=12 =6:12

3)

however when we solve mathematically

1/2=6/3

1/2=2

The sides are not equa so its false

Answer:

5/6(83.33%) I think this should be the probability of it.

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

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Answer:

exponential

Step-by-step explanation:

The function follows the rule :

Let's check

Common ratio

Its a geometric sequence

Hence exponential

Answer:

D) He has a 67% chance of getting a 1, 3, 5, or 6.

Answer:

12a

Step-by-step explanation:

If I'm understanding your question correctly, 3(4a), or 3 × (4a), is simply 12a.

Answer: 12a

Step-by-step explanation:

Multiply:

3(4a)

⇒3 × 4a

⇒12a Answer

hope that helps...

Answer:

x = -2

Step-by-step explanation:

[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]

hope this helped!!

Answer:

x = -2

Step-by-step explanation:

Divide both sides by 5 :

Add 4 to both sides :

Divide both sides by 4 :

Answer: 8x-7y = 56

Step-by-step explanation:

Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

Since it's an arithmetic sequence,

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, up to

[tex]a_n = a_1 + (n-1)d[/tex]

Now, by substitution,

[tex]a_1 + a_3 + a_5 = -12[/tex]

[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]

[tex]3a_1 + 6d = -12[/tex]

[tex]a_1 + 2d = -4[/tex]

[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]

Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that

[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]

Solve for d :

[tex](4+2d) (4-2d) = -20[/tex]

[tex]16 - 4d^2 = -20[/tex]

[tex]4d^2 = 36[/tex]

[tex]d^2 = 9[/tex]

[tex]d = \pm3[/tex]

If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].

If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.

Answer:

2/3 or .66 repeated

Step-by-step explanation:

1 1/3= 1.33

1.33 + .66..7 is 2

Answer:

[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let the number be x

Given condition:

[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]

Answer: 10 teams is the answers