Answer:
An =4^(n-1)
Step-by-step explanation:
hello :
the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =4 A1 = 1
An =A1 × r^(n-1)
An =1 × 4^(n-1)=4^(n-1)
The point P = (2/5, y) lies on the unit circle shown below. What is the value of y in
simplest form?
Using the unit circle, it is found that the value of y is given by:
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]What is the unit circle?The unit circle is a circle centered at the origin with radius 1, hence, it's equation is given by:[tex]x^2 + y^2 = 1[/tex]
At point P, we have that [tex]x = \frac{2}{5}[/tex], and hence, we have to find the value of y.
[tex]x^2 + y^2 = 1[/tex]
[tex]\left(\frac{2}{5}\right)^2 + y^2 = 1[/tex]
[tex]\frac{4}{25} + y^2 = 1[/tex]
[tex]y^2 = 1 - \frac{4}{25}[/tex]
[tex]y^2 = \frac{21}{25}[/tex]
[tex]y = \pm \sqrt{\frac{21}{25}}[/tex]
[tex]y = \pm \frac{\sqrt{21}}{5}[/tex]
To learn more about the unit circle, you can take a look at https://brainly.com/question/16852127
Please answer this properly
Answer:
1. Fraction = 0.36, 36% and 36/100
Find the surface area
No link please and thank you
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?
- 3 < AC < 7
- 3 ≤ AC ≤ 7
- 2 < AC < 8
- 2 ≤ AC ≤ 8
Answer:
-2 < AC < 8
Step-by-step explanation:
The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.
Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?
find the area of the shape below
I WILL MARK BRAINLEST!!
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
how many time larger is 5000 to 5
Answer:
1000 times larger.
Step-by-step explanation:
Answer:
1000 ( divide 5000 by 5 )
Solve for x 4x+2 3x+24
Answer:
x=22
Step-by-step explanation:
Answer:
x = 22
Step-by-step explanation:
Sam is watching airplanes fly over his head at an airshow. The airplanes approach from the east at an altitude of 0.1 mile. Sam watches the airplanes approach and fly past. Measure angles from straight over Sam's head, with angles to the east being positive and angles to the west being negative. Find the horizontal position p of the planes from Sam as a function of the angle of Sam's view as the planes approach and fly over
Answer:
Is this multiple choice question?
Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electricity, and all pumps in your facility use 240 VDC. What is the resistance of the copper wire supplying electricity to this pump?
Answer:
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
Step-by-step explanation:
Given
Per day cost of running centrifugal pump is $30
Charge of electricity is 9.7 cents per kilowatt hour
Total electricity power consumed
[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour
Current flowing through the pump
[tex]= \frac{309.278}{240} \\= 1.288[/tex]A
Resistance of the pump
[tex]\frac{1.288}{240} \\0.005[/tex] ohm
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
The ratio of strawberries to bananas in a smoothie recipe are shown in the graph below.
Which table shows the same data?
Answer: The last table is the correct answer.
Step-by-step explanation: The ratio is 6 strawberries to 1 banana.
The ratio of strawberries to bananas in a smoothie recipe is; 6 strawberries to 1 banana. The last table is the correct answer.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]
where is a common factor (not 1)
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Noted that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
The ratio 6 strawberries to 1 banana.
6 :1
The ratio of strawberries to bananas in a smoothie recipe is; 6 strawberries to 1 banana. The last table is the correct answer.
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The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
30.96 ft²
Step-by-step explanation:
area of square = 12 x 12 = 144 ft²
area of circle = (3.14)(6²) = 113.04 ft²
144 - 113.04 = 30.96 ft²
how much it must decrease 65432 to reach 100000
Answer:
165432
Step-by-step explanation:
165432 - 65432 = 100000
Need help on this Its almost summer need to pass :D
Answer:
3
Step-by-step explanation:
8*3 + 8*3
(24) + (24) = 48
8*6 = 48
Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
O
lim f(x) DNE and lim F(x) DNE
X-8
tim f(x) DNE and lim f(x) = 120
X-8
Olim f(x) = 85 and lim f(x) = 85
X-8
lim f(x) = 85 and lim f(x) = 120
X 81
It’s :lim f(x)=85 and lim f(x)=120
The limit of the given functions f(x)=85 and lim f(x)=120.
We have given that,
Function f(x) has a jump discontinuity at x = 8.
We have to determine a statement that identifies possible one-sided limits at x = 8.
What is the meaning of discontinuity?lack of continuity or cohesion. gap sense 5. The property of being not mathematically continuous is a point of discontinuity. an instance of being not mathematically continuous, especially a value of an independent variable at which a function is not continuous.
lim f(x)=85 and lim f(x)=120
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David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks
Answer:
63
Step-by-step explanation:
50 % of 210 = 105
one fifth of total = 42
black masks = (105+42=) - 210 = 63 ans.
Find x, y and p in the given figure
Answer:
x=50
y=40
p=130
Step-by-step explanation:
A whole circle is 360 degrees, so 270+40+x = 360. x=50.
Y is the same angle as the 40 degrees above it.
P is the same as y+90, so it's 40+90 = 130.
How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?
Answer:
Base of parallelogram = 20 meter
Step-by-step explanation:
Given:
Area of parallelogram = 100 square meters
Height of parallelogram = 5 meters
Find:
Base of parallelogram
Computation:
Area of parallelogram = [Base of parallelogram][Height of parallelogram]
By putting value in the formula;
100 = [Base of parallelogram][5]
Base of parallelogram = 100 / 5
Base of parallelogram = 20 meter
How many more orders for cheese were
for 3/4 pound or less than for 1 pound or
more?
Answer:
1 whole pound silly
Step-by-step explanation:
Answer:
Its 8
Step-by-step explanation:
3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP
Answer:
3(4x - 2.5) = 5(0.4x + 10) + 33
3•(4•x - 2.5) = 5•(0.4•x + 10) + 33
10x = 90.5
x = 181/ 20
= 9.05
Step-by-step explanation:
9514 1404 393
Answer:
x = 9.05
Step-by-step explanation:
Start by eliminating parentheses.
12x -7.5 = 2.0x +50 +33
10x = 90.5 . . . . . . . . . . . . . add 7.5-2x
x = 9.05 . . . . . . . . . . divide by 10
Please help thank you
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
X = 30 + 40 = 70
A total of 756 tickets were sold they were either adult or student there were 56 more student tickets sold than adults. How many adult tickets were sold?
the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m
Answer:
The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.
Step-by-step explanation:
Answer:
G. the houston building is 27 yd taller than the dallas building
Step-by-step explanation:
1,002 ft
= 334 yards (Houston)
307 yards (Dallas)
F. Incorrect because the Houston building is taller.
G. 334 - 307 = 27 (This is true)
695 ft is not equal to 27 therefore, H and J are not true.
Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).
Step-by-step explanation:
The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.
Coordinates of centre can be find out by the midpoint formula.
[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]
Now the measure of radius can be obtained by half the distance between them.
[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]
We know the general equation of circle as ,
[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]
(h,k) is centre r is radius.[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]
Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
Answer:
I don't know.
water tank is being filled with water. Before water is pumped in, the water level in the tank is 12 inches high. After 20 minutes, the water level is 54 inches high.
If t represents the time in minutes and h represents the water level, which of the following equations can be used to model this situation?
A. H = 42 + 12t
B. H = 2.1t - 12
C. H = 12t + 2.1
D. H = 2.1t + 12
Answer:
D. H = 2.1t + 12
Step-by-step explanation:
Let us assume the t be the time in minutes
And h be the water level
Now before reaching to the equation that need to be used
before this, determine the inches per minute i.e.
= 54 inches - 12 inches
= 42 inches in 20 minutes.
Now for per minute, it would be
= 42 inches ÷ 20 minutes
= 2.1 inches per minute
After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12
So the equation is
H = 2.1t + 12
hence, the last option is correct
Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters
Answer:I have the same quastion too
Step-by-step explanation:
Find the value of x, y, and z
Answer:
x=180-43-59=78
y=180-78=102
z=78-49=29
Step-by-step explanation:
Five-sixths of Paco's stamps have pictures of animals.
How many stamps with pictures of animals does Paco have? Use the table to answer the question.
Paco has____ stamps with pictures of animals.
Answer:
20
Step-by-step explanation:
fraction of stamps that has animals on it x total number of stamps paco has = pictures with animals on it
(5/6) x 24 = 20
A jar contains 10 red marbles 18 blue marbles and 12 white marbles. Which multiplication will halo you find the sorted probability of picking a red marble, replacing it, then picking a blue marble?
Answer:
[tex]\frac{9}{80}[/tex]
Step-by-step explanation:
So there is 40marbles in total
The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles
Then you replace it and I'm going to assume that you put the red marble back.
Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.
Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]
Hope this helps and If I'm wrong pls tell me.