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vampirchik [111]
4 years ago
13

1 point

Mathematics
1 answer:
valentina_108 [34]4 years ago
7 0

Answer:

34

Step-by-step explanation:

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the first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in a series.
Rufina [12.5K]

hi

u0 = 64       with  u(n+1) = un *0.75  

u3 =  64 *0.75^3   = 27

sum is :      64 *  ( 0.75^4 -1)  / 0.75-1  = 175

manual proof :    64 + 48+36+27 = 175

6 0
3 years ago
Benjamin drove 278 miles in 4 hours.
kondor19780726 [428]

Step-by-step explanation:

rate \:of \: driving \\  =  \frac{278}{4}  \\  = 69.5 \: mph

6 0
3 years ago
The summer olympic occurs every 4 years. Every 6 years, a US senator runs for reelection. If both events occurred last year how
deff fn [24]

Answer:

12 years

Step-by-step explanation:

every 4 years, olympic occurs.

Every 6 years, senator reelection.

if last year was 2020

in 2024 olympic will occur

in 2026 the reelection will occur

in 2028 olympic will occur

in 2032 olympic and reelection will occur will occur

2032 - 2020 = 12

12 years is the answer

7 0
3 years ago
What is the equation in the slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the li
Igoryamba

Answer:

D

Step-by-step explanation:

The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--2)=-5/2(x-2)

y+2=-5/2x+10/2

y=-5/2x+5-2

y= -5/2x+3


5 0
3 years ago
Read 2 more answers
In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
3 years ago
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