All categories

3 years ago

PLEASE HELP ASAP!

Mathematics

2 answers:

padilas [110]3 years ago

8 0

Answer: x ≥ 39

<u>Step-by-step explanation:</u>

Let x represent the 1st odd integer

Then x + 2 represents the 2nd odd integer

1st odd # <em>plus</em> 2nd odd # <em>is at least</em> the Sum

x + x + 2 ≥ 80

2x + 2 ≥ 80

2(x + 1) ≥ 2(40)

x + 1 ≥ 40

x ≥ 39

Marta_Voda [28]3 years ago

4 0

Let x = larger odd integer

then (x-2) is the smaller odd integer

Translate:

"sum of two consecutive odd integers is 80" means (x-2) + x = 80

2x -2 - 80

2x = 82

x = 41

You might be interested in

Which algebraic expression represents “Marcus ran four times as far this week”? 4 + n 4n n – 4

disa [49]

Answer:

The Answer would be 4n

Step-by-step explanation:

Since Marcus ran four times as far this week, we need to know how far he ran last week in order to solve this expression. Since we do not know this information it becomes our variable (n). From the statement we can also infer that there is multiplication since he states the word "times". Therefore our Algebraic Expression would be the following.

P = 4n

P being distance ran by Marcus, and n being distance ran last week by Marcus.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

Read 2 more answers

If sin(x) = cos(y) for acute angles x and y, how are the angles related?

Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

$Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5$

#We can reverse as:

$Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603$

Hence, two angles are said to be complimentary if they sum up to 90°.

6 0

3 years ago

Two terms of a geometric sequence are given. Find the first five terms. Please help asap

Zepler [3.9K]

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ $r^{6}$ = 256 → (1)

a₁ $r^{9}$ = 2048 → (2)

Divide (2) by (1)

$\frac{a_{1}r^{9} }{a_{1}r^{6} }$ = $\frac{2048}{256}$

r³ = 8 ( take the cube root of both sides )

r = $\sqrt[3]{8}$ = 2

Substitute r = 2 into (1)

a₁ × $2^{6}$ = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

7 0

2 years ago

These factors describe the economic situation in Sub-Saharan Africa.

lana66690 [7]

The appropriate response is second and fourth.Natural assets are utilized to pay off worldwide obligation and feeble government frameworks obstruct monetary improvement are the elements portray the financial circumstance in Sub-Saharan Africa.

3 0

3 years ago

Read 2 more answers

Ask your teacher find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using i

liberstina [14]

Answer:

ln(5/3)

Step-by-step explanation:

The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.

<h3>Limit</h3>

We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

$\diplaystyle \lim\limits_{x\to1}{(\ln(x^5-1)-\ln(x^3-1))}=\lim\limits_{x\to1}\ln{\left(\dfrac{x^5-1}{x^3-1}\right)}\\\\=\lim\limits_{x\to1}\ln\left(\dfrac{x^4+x^3+x^2+x+1}{x^2+x+1}\right)=\ln{\dfrac{5}{3}}$

8 0

1 year ago