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OLEGan [10]
3 years ago
9

Due tomorrow please help

Mathematics
1 answer:
NeX [460]3 years ago
7 0
For some of these, a calculator is helpul.

The sum is 294903.

_____
This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula
S_{n}=a\dfrac{r^{n}-1}{r-1}
S_{15}=9\dfrac{2^{15}-1}{2-1}=9\cdot(32768-1)=294903

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A scarf needs ¾ of a yard of fabric. How many scarves can be made from 9 yards of fabric?
marissa [1.9K]

Answer:

exactly 12 !

Step-by-step explanation:

3/4 is the length need, times 12, which is the end result of scarves, equals 9, the yards of fabric !!

3/4 x 12 = 9

i hope this helped!!!!

3 0
2 years ago
DO U KNOW SLOPE??? PLZ HELP
IgorLugansk [536]

To calculate slope; rise/run

Triangle ABC: run-1 rise-5 slope-5

5 rise/ 1 run (5/1)=5

Triangle DEF: run-2 rise 10 slope-5

10 rise/ 2 run (10/2)=5

B. They are equal because the two triangles are similar



7 0
3 years ago
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
Nadya [2.5K]
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'. 

Note how the x and y values swap places. 
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen. 

The purple triangle is the final answer.

8 0
3 years ago
When a certain valve is open, 281 gallons go through it in one hour. The number of gallons that would go through in 94 hours is?
yarga [219]
281 gallons/ 60 min= 4.683 gallon per min
4.683 gallon per min * 94 hours= 440.23 gallons

Answer: 440.23 Gallons
8 0
2 years ago
Find the slope of the line between (1,5)and (3,9)
Volgvan
We can use the points in either order and you will still get the same slope. I usually solve in order that is given. So the first coordinates I label (x1,y1) and the second is (x2,y2).

Slope=m=(y2-y1)/(x2-x1)
m=(9-5)/(3-1)=4/2=2

Slope is 2.
4 0
3 years ago
Read 2 more answers
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