Respuesta:
1/16
Explicación paso a paso:
Dada la secuencia geométrica: 32, 16, 8, 4 ................,
El enésimo término de una progresión geométrica se obtiene mediante la relación:
enésimo término = ar ^ (n-1)
Dónde ; a = primer término = 32; n = enésimo término; r = razón común
r = a2 / a1 = a3 / a2
r = 16/32 = 8/16
r = 1/2
Por lo tanto, el décimo término:
n (10) = 32 * (1/2) ^ (10 - 1)
n (10) = 32 * (1/2) ^ 9
n (10) = 32 * (1/512)
n (10) = 32/512
n (10) = 1/16
Por lo tanto, el décimo término es 1/16
How much sand do you need to add to 3.2m^3 of soil with 40% sand in order to make a soil with 60% sand
Answer:
[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]
Step-by-step explanation:
From the question we are told that:
Total soil [tex]N=3.2m^3[/tex]
Initial sand percentage [tex]S_1=40\%[/tex]
Final sand percentage[tex]s_2=60\%[/tex]
Generally the sand and other particles division is mathematically given by
[tex]40\% of 3,2=1.28[/tex]
and
[tex]60\% of 3.2=1.92[/tex]
Generally what will make 60\% of 3.2 40\% is mathematically given by
[tex]x=1.92*0.4\\x=4.8[/tex]
Generally the sand to be added is mathematically given by
[tex]4.8sand-3.2sand =1.6m^3[/tex]
Therefore
[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]
Solve the equation on the interval [0,2pi)
The value of θ within the interval is 210 and 330 degrees
Given the equation;
[tex]2sin^2 \theta = 5sin \theta - 3[/tex]
Let P = sinθThe equation will become;
2P² = 5P - 3
2P² - 5P - 3 = 0
Factorize;
2P² - 6P + P- 3 = 0
2P(P-3) + 1(P -3) =0
2P + 1 = 0 and P - 3 = 0
p = -1/2 and 3
Since P = sinθ
sinθ = -1/2
θ = -30 degres
Since sine is negative in the second 3rd and 4th quadrant
θ = 180 + 30 = 210 degrees
θ2 = 360 - 30 = 330 degrees
Hence the value of θ within the interval is 210 and 330 degrees
Learn more on trigonometry here: https://brainly.com/question/24349828
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.
Answer:
She didn’t use the correct formula for area of a triangle.
Step-by-step explanation:
edg 2021 Sorry for the late answer.
A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.
Answer:
Number of $1 coins are 25 and number of 50 cent coins are 30.
Step-by-step explanation:
Let's set up the equations.
Let there are x number of $1 coins
There are y number of 50 cent coins
So, x+y =55
1 x+0.50 y =40
Solve the equations for x and y.
Solve the first equation for y.
y=55-x
Substitute y as 55-x into the second equation.
1 x+0.50(55-x)=40
Solve the equation for 'x'.
Distribute the 0.50 to get rid the ( ).
1 x+27.5-0.50 x= 40
Combine like terms
0.50 x +27.5=40
Subtract both sides 27.5
0.50 x =12.5
Divide both sides by 0.50
x=25
Now, plug in x as 25
y=55-25
y=30
So, number of $1 coins are 25 and number of 50 cent coins are 30.
The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3
Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
D. 144 m^3
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.
Answer:
The person with the most water left is;
Tia
Step-by-step explanation:
The parameters given in the question are;
The volume of water Sherry and Karl both started their hike with = 1 small bottle each
The volume of water Tia started her hike with = 1/2 of a larger bottle of water
The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water
The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water
The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water
Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;
The volume water with Tia at the end of the hike = 1/2·x
The volume water with Karl at the end of the hike = 1/2·y
The volume water with Tia at the end of the hike = 1/2·Z
Given;
Z > x
Z > y
∴ 1/2·Z > 1/2·x
1/2·Z > 1/3·y
Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.
thanks to everyone whos helping
Answer:
closest to the whole number 1
Step-by-step explanation:
hope this helps :)
i’ll award brainliest! no links
Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.
can somebody plz help?e
Answer:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the Trigonometric Ratios
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )
[tex]cos(72)=\frac{6.6}{x}[/tex]
Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have [tex]xcos(72)=6.6[/tex]
Step 2 divide each side by cos(72)
[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]
We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
Of the marbles in a bag, 5 are blue, 2 are white, and 2 are yellow. Sandra will randomly choose one marble from the bag.
Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given that,
A bag contains 5 blue, 2 white and 2 yellow marbles.
We need to find the probability of choosing a white marble from the bag.
Total no. of outcomes = 5+2+2
= 9
No. of white marbles = 2
Required probability,
[tex]P=\dfrac{2}{9}[/tex]
So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].
*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?
Answer:
there no photo so I cant answer without seeing it
Answer this and i will thank you
Answer:
Answer what? a question needs to be posted.
Step-by-step explanation:
*answer will be updated*
Answer:
24 si efil rewsna eht
Step-by-step explanation:
The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is.
Divisors: 1, 2, 3, 6, 7, 14, 21, 42
Ordinal: 42nd; (forty-second)
Cardinal: forty-two
Binary: 1010102
I’ll give brainliest for whoever is correct
Answer:
Step-by-step explanation:
1.)12.
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.
Thus, the answer to 4 divided by 1/3 in fraction form is:
[tex]\frac{12}{1}[/tex]
To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
12
The answer is rounded to the nearest two decimal points if necessary.
[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.
2.) 9
Which function represents the exponential function f(x) = 34 after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3^-8x
B. g(x) = -3^8x
C.g(x) = 8.3-*3^-x
D. g(x) = -8*3^x
Answer:
D
Step-by-step explanation:-8×3x represents a vertical strech by a factor of
8 and a reflection across the x-axis.
The answer is D.
What is the integer closest to the square root of 17
Answer:
4
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
Answer:
4.
Step-by-step explanation:
The square root of 17 is 4.12...
square root of 16 is 4
What is the difference between the circumference of a medium pizza and the circumference of a personal pizza? Round to the nearest hundredth.
Answer:
?
Step-by-step explanation:
A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.
Answer:
70!km is the right answer
Step-by-step explanation:
The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.
Thank y’all for help
Answer:
Ask a question so I can answer it -_-Step-by-step explanation:
The temperature today will be atleast 10F | on a graph and inequality
Answer:
Temperature => 10F
Step-by-step explanation:
Mark brainliest if this helped!
Mark brainliest if this helped!
The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P
Answer:
[tex]P' = (1,-2)[/tex]
Step-by-step explanation:
Given
[tex]P = (1.6)[/tex]
[tex]Q = (-6,1)[/tex]
Reflection over: [tex]y = 2[/tex]
Required
Determine the coordinates of P'
From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2
Since we are to reflect over y = 2, only the y coordinate of P will be affected.
The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]
So, what to do is:
First, calculate the difference between the y coordinates of P and the line of reflection.
The y coordinate of P is 6 and the line of reflection is at y = 2.
So, the difference is: 6 -2 = 4
Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'
y coordinate of P' = 2 - 4 = -2
Hence, the coordinate of P' is: (1,-2)
Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?
Answer:
175/2.5=70
Step-by-step explanation:
A bacteria culture initially contains 2000 bacteria and doubles every half hour.
-Find the size of the bacterial population after 100 minutes.
-Find the size of the bacterial population after 10 hours.
Answer:
the size of the bacterial population after 100 minutes is 20,158.7 bacteria
the size of the bacterial population after 10 hours is 2097152000 bacteria
Step-by-step explanation:
Given that
The bacteria contains 2000
It would be double at every half hour
We need to find out the size of the bacteria after 100 minutes & 10 hours
So,
The size of the bacteria after 100 minutes is
= 2000 × 2^(100 ÷ 30)
= 2000 × 10.079
= 20,158.7 bacteria
Now the size of the bacteria after 10 hours is
10 hours = 10 × 60 minutes = 600 minutes
= 2000 × 2^(600 ÷ 30)
= 2097152000 bacteria
Find the measure of AC
Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.
What is the slope of a line that passes through (1, -2) and (2, 4)?
Please help
The formula would be (y2-y1)/(x2-x1)
So, plugging it in, the equation would be (4+2)/(2-1)
Solving that, you get you a slope of 6.
if i made 80 dollars every weekend for a year, how much would i have
Answer: You would have 4160$
Step-by-step explanation: there is 52 weeks in a year so 52 times 80
One number is 2 times the other number. The sum of the numbers is
150. Find the numbers.
Answer:
x = 50; 2x = 100
Step-by-step explanation:
x + 2x = 150
3x = 150
x = 50
2x = 2(50)
2x = 100
Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
Answer:
Correct
5x + 3 = 17
Step-by-step explanation:
So we need to find the book wieght only so take away the bag's weight from the total. 17-3=14. Now it says 5 books so divide 14 by 5 which is 2.8.
= 2.8 pounds
For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.
Answer:
15 cupcakes
Step-by-step explanation:
I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.
I will give Brainiest For The Correct answer
Factor completely
a2 - a - 20
Worth 20 Points
(A−5)(A+4) I think that is the right answer
Is this correct?-
Also please don’t just say “yes” or “no”-
Answer:
a) No
b) No
c) No
d) Yes
