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saw5 [17]
3 years ago
10

The sum of two consecutive integers is -49. Write an equation that models this situation and find the values of the two integers

.
Mathematics
2 answers:
jeka57 [31]3 years ago
4 0

Answer:

n + n + 1 = –49; n = –25; n + 1 = –24

Step-by-step explanation:


IrinaK [193]3 years ago
3 0
-25 and -24

You can find this using the equation below:

x + (x + 1) = -49

Solve for x 
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A diner asks patrons for their preference for waffles or pancakes and syrup or fruit topping.
prohojiy [21]

Answer:

P (Waffles | Syrup)\neq P(Waffles)

Step-by-step explanation:

From the table we have to:

Probability of syrup is 0.96

Probability of waffles and syrup is 0.32

P (Waffles | Syrup) = P (Waffles and syrup) / P (syrup)

So:

If this equality is met, the probabilities are dependent, if on the contrary

P (Wafles | Syrup) = P (Wafles) then are independent probabilities.

P (Wafles | Syrup) = 0.32 / 0.96 = 0.333 \neq 0.32

So we have to:

P (Waffles | Syrup)\neq P(Waffles)

The probabilities are dependent.

7 0
3 years ago
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What is the surface area if this sphere?
Darya [45]
I think the answer is 126.6466666666667but rounded be 126.65
8 0
3 years ago
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In jaime's math class, 9 students chose soccer as their favorite sport. This amount represents 3/8 of the entire class. The equa
Daniel [21]

Answer:

24

Step-by-step explanation:

3/8=9

6/8=18

8/8 would be 6/8 plus 2/3 of nine which is six

6+18=24

7 0
3 years ago
Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 5.00. What should be the length of B⃗ so that th
creativ13 [48]

Answer:

Length of B is 7.4833

Step-by-step explanation:

The vector sum of A and B vectors in 2D is

C=A+B=(a_1+b_1,a_2+b_2)

And its magnitude is:

C=\sqrt{(a_1+b_1)^2+(a_2+b_2)^2} =9

Where

a_1=Asinx

a_2=Acosx

b_1=Bsin(x+90)

b_2=Bcos(x+90)

Using the properties of the sum of two angles in the sin and cosine:

b_1=Bsin(x+90)=B(sinx*cos90+sin90*cosx)=Bcosx

b_2=Bcos(x+90)=B(cosx*cos90-sinx*sin90)=-Bsinx

Sustituying in the magnitud of the sum

C=\sqrt{(Asinx+Bcosx)^2+(Acosx-Bsinx)^2} =9

C=\sqrt{A^2sin^2x+2ABsinxcosx+B^2cos^2x+A^2cos^2x-2ABsinxcosx+B^2sin^2x} =9

C=\sqrt{A^2(sin^2x+cos^2x)+B^2(cos^2x+sin^2x)}

C=\sqrt{A^2+B^2} =9

Solving for B

A^2+B^2 =9^2

B^2 =9^2-A^2

Sustituying the value of the magnitud of A

B^2=81-5^2=81-25=56

B= 7. 4833

8 0
3 years ago
Factorise the following expression :​
Bas_tet [7]

Answer:

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(x+2)(x²+5)

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a²(a-b²)-b(a-b²)

(a-b²)(a²-b)

5 0
2 years ago
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