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3 years ago

Find the sum of the first 50 terms in the sequence where a1=2.1 and a50=1.2

Mathematics

2 answers:

Lostsunrise [7]3 years ago

5 0

Answer:

82.5

Step-by-step explanation:

Elan Coil [88]3 years ago

4 0

Answer:

82.5 (assuming it is an arithmetic sequence)

Step-by-step explanation:

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Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho

DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h = $x$

<em>Distance covered in km 2 hours will be = $Speed\times time=x\times 2=2x\ km$ </em>

Speed of second skier in km/h can be given as = $x+5$

<em>Distance traveled by second skier after 2 hours will be = $Speed\times time=(x+5)\times 2=(2x+10)\ km$ [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

$2x+2x+10=30$

Solving for $x$

$4x+10=30$

Subtracting both sides by 10.

$4x+10-10=30-10$

$4x=20$

Dividing both sides by 4.

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

Speed of first skier = 5 km/h

Speed of second skier = $5+5$ = 10 km/h

8 0

3 years ago

a doctor prescribes 30 units of a medication in 500 ml to be administered over 5 hours. How many drops per minute should be admi

Anna35 [415]

The answer is 83 1/3 per min

3 0

3 years ago

Read 2 more answers

There are 12 students in a classroom, including the triplets Joey, Chloe, and Zoe. If 3 of the 12 are randomly selected to give

lesya692 [45]

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

P=size of the event space/size of the sample space

step 1

find the probability that Joey will be first

size of the sample size=12

size of the event space=1

P=1/12

step 2

find the probability that Chloe will be second

size of the sample size=12-1=11

size of the event space=1

P=1/11

step 3

find the probability that Zoe will be third

size of the sample size=11-1=10

size of the event space=1

P=1/10

step 4

Find the probability that Joey will be first, Chloe will be second, and Zoe will be third

P=(1/12)*(1/11)*(1/10)-----> P=1/1320-----> 0.00075------> 0.076%

the answer is

the probability that Joey will be first, Chloe will be second, and Zoe will be third is 0.00075 (0.076%)

4 0

4 years ago

Lines

SashulF [63]

Answer:

5 cm

Step-by-step explanation:

If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.

If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.

Consider two right triangles ABO and ACO. In these triangles:

AO is common hypotenuse;
∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;
OB=OC as radii of the circle k(O).

By HL theorem, triangles ABO and ACO are congruent. Then

∠OAB=∠OAC=30°;
AC=AB=5 cm.

Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.

Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus

∠CBA=∠BCA=1/2(180°-60°)=60°.

Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.

5 0

3 years ago

Help help help help help help help hepl

matrenka [14]

Answer:

the answer is uh..21

Step-by-step explanation:

Cancel the common Factors of 3^2 and 3

Which will equal 7x(3)

Multiply 7x(3)

That would be 21 :)

~brett <3

8 0

3 years ago

Read 2 more answers