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3 years ago

What is the value of the arithmetic series below?

Mathematics

2 answers:

MariettaO [177]3 years ago

4 0

Answer:

Step-by-step explanation:

E2020

RoseWind [281]3 years ago

3 0

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - $\frac{3}{2}$ k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

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keely has $45.00 to spend on shirt. each shirt $8.50, and there is a $2.50 shipping fee for the order. how many shirts can she b

nydimaria [60]

5 shirts is the correct answer

3 0

3 years ago

Find the measure of the indicated angle to the nearest degree.

deff fn [24]

Given:

A right triangle with legs 5 units and 6 units.

To find:

The measure of angle opposite of side whose length is 5 units.

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

Let $\theta$ be the missing angle. Then, for the given triangle,

$\tan \theta=\dfrac{5}{6}$

$\theta=\tan^{-1}\dfrac{5}{6}$

$\theta=39.805571^\circ$

Round the value to the nearest degree.

$\theta\approx 40^\circ$

Therefore, the measure of the required angle is 40 degrees.

8 0

3 years ago

Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.

lilavasa [31]

Answer:

26 apples

Step-by-step explanation:

bananas, b= $0.50

oranges, o= $0.75

apples, a = $0.75

Total fruit sold = 50

Total Earned = $33.50

b + o + a = 50 Because the total number of all 3 fruits sold is 50

.5b + .75o + .75a = $33.50 The number of each fruit, multiplied by the price of each fruit, and added together is $33.50

They sold twice as many bananas than oranges.

If o is oranges, then 2o = b because there are twice as many bananas so:

b + o + a = 50

2o + o + a = 50

3o + a = 50

Now we can solve.

3o + a = 50

a = 50 - 3o

.5b + .75o + .75a = $33.50

.5(2o) + .75o + .75a = $33.50

o + .75o + .75a = $33.50

1.75o + .75a = $33.50

Two equations and 2 unknowns.

a = 50 - 3o

1.75o + .75a = $33.50 Plug in a to solve for o.

1.75o + .75(50 - 3o) = $33.50

1.75o + .75*50 - .75*3o = $33.50

1.75o + 37.5 - 2.25o = $33.50 Combine like terms

1.75o - 2.25o +37.5 = $33.50

-.5o + 37.5 = 33.5 Add .5o to each side so it cancels on the left.

37.5 = 33.5 + .5o Subtract 33.5 from each side

37.5 -33.5 = .5o

4 = .5o Divide each side by .5

4/.5 = o

8 = o

Now plug into a = 50 - 3o

a = 50 - 3(8)

a = 50 - 24

a = 26

So even though we know they sold 26 apples, let's finish solving to check our work.

b + o + a = 50

b + 8 + 26 = 50

b + 34 = 50

b = 50 - 34

b = 16

b = 2o

b = 2 (8)

b = 16 Which works! Now the last step of checking our work:

.5b + .75o + .75a = $33.50

.5(16) + .75(8) + .75(26) = $33.50

8 + 6 + 19.5 = $33.50

14 + 19.5 = $33.50

33.5 = $33.50 Yes! It works too!

bananas = 16

oranges = 8

apples = 26

3 0

3 years ago

I need help plz!!?!???!?

Ksivusya [100]

Answer:

Solution → (3, -1)

Step-by-step explanation:

We ave to identify the graph representing the system of lines first.

y = $\frac{2}{3}x-3$

Y-intercept of the line = -3

y = -2x + 5

y-intercept of the line = 5

From the given graphs 3rd (extreme right) graph is representing the system of equations.

Solution of the system of equations will be the point of intersection of these lines.

Solution of the system → (3, -1)

8 0

3 years ago

Can someone explain to me how to remove all the perfect squares ? I’m kind of confused and my teacher is unavailable to help and

mixer [17]

Answer:

b^2√30b

Step-by-step explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

√3*2*5*b*b*b*b*b

See what perfect squares you can take out (Can take out four b terms) You cant take out any perfect squares involving 30 since there are no perfect squares

b^2√3*2*5*b

b^2√30b

4 0

2 years ago