the temperature at noon at an Antarctic weather center was –15 °C. At midnight it had fallen by 12 °C. What was the temperature at midnight?

Answer:

what? im hungry too..... and the photo is blurry

Answer:

Hungry too gonna go eat

Step-by-step explanation:

Answer:

a)

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

[tex]x^2+px+4=0[/tex]

a)

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

[tex]a^2+2ab+b^2=(a+b)^2[/tex]

We already have the first term squared, and we need to find the second term. Rewriting the equation:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]

The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]

Factoring:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]

Moving the independent term to the right side:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]

Taking the square root:

[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

Solving for x:

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) If the equation won't have real roots, then the radicand should be negative:

[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]

Factoring:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

The zeros of the left-side polynomial are:

[tex]\displaystyle \frac{1}{2}p-2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=2[/tex]

p = 4

[tex]\displaystyle \frac{1}{2}p+2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=-2[/tex]

p = -4

The inequality:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

Is satisfied for values of p in the interval (-4,4)

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

Answer:

882-28282=9191

Step-by-step explanation:

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

(–5, 0.5) a solution of the system of equations.

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

For more references on the system of equations, click;

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Answer:

B) 3.7(1.15)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

50/5.95

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

Answer:

Blank 1: $205.8

Blank 2: $388

Step-by-step explanation:

For blank 1, I added up the 4 numbers because that's what 1 month would cost for both services. For blank 2, I multiplied the monthly fee for each service separately by 12, for 12 months. After that, each equation still separate add the 1 time fee and subtract each company price and you will get your answer.

- I hope this is correct and helpful :)

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

Cable company Connection fee and hardware = 49.95 dollars

Cost of service = 45.95 dollars per month.

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 49.95 dollars + (45.95 dollars per month x 12 months) Cost for a 12-month period = 49.95 dollars + 551.40 dollars Cost for a 12-month period = 601.35 dollars

Phone company Connection fee and hardware = 79.95 dollars Cost of service = 29.95 dollars per month

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 79.95 dollars + (29.95 dollars per month x 12 months) Cost for a 12-month period = 79.95 dollars + 359.40 dollars Cost for a 12-month period = 439.35 dollars Difference in the cost = (cable company cost) - (phone company cost) Difference in the cost = 601.35 dollars - 439.35 dollars Difference in the cost = 162 dollars

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

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Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

Answer:

Y=1

Step-by-step explanation:

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Answer:

Y = 1

Step-by-step explanation:

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

Answer:

The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:

Alexia can answer 3 minutes on each math problem

Alexia can answer 4 minutes on each science problem

She worked more than 60 minutes

We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.

in our answer, we have x=20and y=10

3*20 + 4*10 > 60

60 + 40 > 60

100 > 60

brainliest please

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I just took this assignment. :)

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

C

Step-by-step explanation:

Answer:

I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Let’s say that she has 10 dimes. 2(10)-5=Q

20-5=15

15 quarters

We doubled her dimes, and subtracted 5 to find quarters.

You can fill anything for D and remind true

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

Answer:

[tex]f(x)\geq -2[/tex]

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

[tex]f(x)\geq -2\\[/tex]

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.