1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alisiya [41]
3 years ago
9

Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap​

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

You might be interested in
What is the slope of (-3,5) and (2,0)
IrinaVladis [17]

Answer:

is there anymore to the question?

Step-by-step explanation:

8 0
3 years ago
What is the solution for -10 < x - 9?
ikadub [295]
ANSWER:

x > - 1

STEP-BY-STEP EXPLANATION:

- 10 < x - 9

x - 9 > - 10

x > - 10 + 9

x > - 1
6 0
4 years ago
In the following exercises, multiply the binomials. Use any method.<br> 241. (x + 8)(x + 3)
Lelu [443]

Answer:

Hence the expression $(x+8)(x+3)=x^{2}+11 x+24$.

Step-by-step explanation:

- The given expression is (x+8)(x+3).

- We have to multiply the given expression.

- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.

$$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$

5 0
2 years ago
Example of perpendicular lines
Charra [1.4K]

Answer:

Perpendicular lines are lines that cross perfectly to create a 90 degree angle! Kinda like a big cross. with a right angle in the center area

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
Other questions:
  • I need help with the top one
    8·1 answer
  • What is the range of the function? Graph in link.
    6·1 answer
  • What is 35% of $120?
    9·1 answer
  • What is the value of P
    5·1 answer
  • Does anyone know what graph is correct?
    6·2 answers
  • Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
    5·1 answer
  • Tessa conducts an experiment and obtains results that are statistically significant. What is meant by "statistically significant
    8·1 answer
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please help
    8·1 answer
  • What is an example of a coefficient?<br><br> 5 + x<br><br> x + 5<br><br> 5x<br><br> 5 - x
    15·1 answer
  • Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel S
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!