Answer:
C) 64, 32, 16, 8, 4, 2, ...Step-by-step explanation:
[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]
Raju wanted to plough his field. He asked the farmers "how many days will it take to plough the field? The farmers said “The field can be ploughed in 14 days. If 20 hectares of land is ploughed more daily, the work will be finished in 10 days”. Find the area of the land which can be ploughed daily. Also find the area of the field?
Answer:
1. Area of the land which can be ploughed daily is 50 hectares (and 70 hectares at higher rate)
2. Area of the field is 700 hectares
Step-by-step explanation:
Let x hectares be the number of hectares the farmers normally ploughed in a day. At this rate, they will complete the work in 14 days, so they have to plough
[tex]14\cdot x=14x\ hectares.[/tex]
Then x+20 hectares is the number of hectares the farmers ploughed in a day when they increased their productivity of work. At this rate, they will complete the work in 10 days, so they have to plough
[tex]10\cdot (x+20)=10(x+20)\ hectares.[/tex]
The work is the same, so
[tex]14x=10(x+20)\\ \\14x=10x+200\\ \\14x-10x=200\\ \\4x=200\\ \\x=50[/tex]
Ploughing 50 hectares each day 14 days in a row they will plough
[tex]14\cdot 50=700\ hectares[/tex]
What is the median of the data set? [10,15,27,33,33,36,42,47,45,56,78]
Hurry please ASP
the answer would be 36
Answer:
36
Step-by-step explanation:
Cross a number out once on each side. That is, cross out 10 and 78, then 15 and 56, on and on until you get the last number that isn't crossed out. In this case, 36.
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 2x^2 + x - 3 and g(x) = x-1
Find f(x) • g(x).
Answer:
[tex]2x^3-3x^2-4x+3[/tex]
Step-by-step explanation:
Use FOILing to get the answer. Distribute x into 2x^2, to get 2x^3, then into x to get - x^2, then into -3 to get -3x. Then distribute the -1 into the 2x^2 to get -2x^2, then into the x to get -x, then into the -3 to get 3. Combine like terms to get the solution above.
Answer:
2x^3-x^2-4x+3
Step-by-step explanation:
Alyssa and Anna bought three toy cars for their three cousins from a store on line
The price for one car was $3.85. A shipping fee of $4.56 was added to the total
cost. The two girls shared the total cost equally How much did each girl pay?
Answer: 14.555
Step-by-step explanation: so you take $3.85 multiplied by 3 because they bought 3 toy cars plus a $4.56 and take the answer of that and divide by 2 because they split the cost. Hope this helps
Answer:
each girl had to pay around $8.06
Step-by-step explanation:
They bought 3 toy cars and each car was $3.85.
You have to multiply $3.85*3 which is $11.55.
Then add the $4.56 of shipping fee which is $16.11.
since the 2 girls shared the total cost, divide 16.11/2
16.11/2= $8.06
write a rule for linear function in the graph (4,3) (3 ,-1)
Answer:
D) y = 4x - 13
Step-by-step explanation:
Slope: the change in y over the change in x
In a equation in slope-intercept form is in y = mx + d, where m is the slope.
The slope can be found by its definition. As y goes up by 4, x goes up by 1, so the slope is 4/1 = 4.
The only option with 4 as the slope is D.
Hi uwu pls help me?? i really need it :'( dont make me cry
Combine the like terms to create an equivalent expression:
4z-(-3z)
Answer:
4z-(3z) z
Step-by-step explanation:
I hope that helps
The inequality 6 - 2/3x < x - 9 is equivalent to...
A) x>9
B) x<9
C) x>-3/5
D) x<-3/5
Start with
[tex]6-\dfrac{2}{3}x<x-9[/tex]
Add 9 to both sides
[tex]15-\dfrac{2}{3}x<x[/tex]
Add [tex]\frac{2}{3}x[/tex] to both sides
[tex]15<\dfrac{5}{3}x[/tex]
Multiply both sides by 3/5
[tex]9<x[/tex]
Which is the same as
[tex]x>9[/tex]
equation of the circle with center 2,1 and 5,2 a point on the circle
Answer:
Step-by-step explanation:
The center tells you how to handle the left side of a circle's equation.
(x - 2)^2 + (x - 1)^2 = r^2
The point (5,2) gives you enough information to find r^2
x = 5
y = 2
(5 - 2)^2 + (2 - 1)^2 = r^2
(3)^2 + 1^2 = r^2
9 + 1 = r^2
r^2 = 10
Complete equation
(x - 2)^2 + (y - 1)^2 = 10
Answer: (x-2)^2+(y-1)^2=10
Step-by-step explanation:
r=√(x-h)^2+(y-k)^2
r=√(5-2)^2+(2-1)^2
r=√3^2+1^2
r=√9+1
r=√10
X^2+y^2=r^2
(x-2)^2+(y-1)^2=(√10)^2
(x-2)^2+(y-1)^2=10
HELP ME PLZ SORRY CAPS
Answer:
Because we knew that the function rule for the input/output table is to multiply by 6, just multiply 7 by 6 and we get y = 42
For the second question, we also knew that the function rule for the input/output table is to divide by 3, just divide 6 by 3 and we get y = 2
Since we already knew that the charge for downloading a movie is $3, then we can also predict that x is number of movies downloaded, and the total fee for downloading x movies should be 3x, plus the monthly fee, we have the equation: y = 3x + 6.50
*I could be wrong though
I think your correct answer is C. Please don’t be mad if I am wrong!❤️❤️
ana preparo chicha morada con 30 porciento de maiz morado y 70 porciento de agua.Si bebio el 30 porciento de la chicha morada y reemplazo esa cantidad de agua.Que porcentaje de la nueva mezcla es concentrado de maiz morado?
Answer:nise xdxxxxdddd
Step-by-step explanation:
Conociendo los porcentajes de cada componente y usando algebra simple, veremos que el porcentaje de la nueva mezcla que es maiz morado es el 49%.
Asumamos que comenzamos con una cantidad A de chicha morada.
Sabemos que:
0.3*A es maiz morado.0.7*A es agua.Ahora mezclamos eso.
Ana se bebe el 30% de la chicha morada, es decir, la cantidad restante de chicha morada es:
0.7*A
Conociendo las proporciones con las que esto se preparo, podemos ver que la cantidad de agua restante es:
0.3*0.7*A
Y la cantidad de maiz restante es:
0.7*0.7*A
Ahora reemplaza el 0.3*A faltante con agua, es decir, la cantidad total de agua será:
0.3*0.7*A + 0.3*A
(0.3*0.7 + 0.3)*A
0.51*A
Es decir, en la nueva mezcla un 51% es agua.
Entonces el porcentaje de la nueva mezcla que es maiz morado es el 49% restante.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12116804
A machine makes 312 bolts in 30 minutes, at the same rate, how many minutes would it take to produce 260 bolts?
Answer:
25 minutes
Step-by-step explanation:
By using the rule of three we can solve this problem:
If a machine makes 312 bolts in 30 minutes, how much time it would take to produce 260 bolts?
312 bolts -----> 30 minutes
260 bolts ------> X
X = (260*30)/312 = 25 minutes
312/30=10.4.
260/10.4=25
The funtion g(x)=f(x+3)+2. Which of the following is true of the graph of g(x)?
25 I think I hope I’m right
What is the simplified expression for -3cd-d(2c-4)-4d
Answer:
-5cd
Step-by-step explanation:
-3cd-d(2c-4)-4d
Distribute the -d
-3cd-d2c-+d4-4d
-3cd -2cd +4d-4d
Combine like terms
-5cd
A box contains 8 dimes, 15 quarters, and 27 nickels. A student randomly draws two items, one at a time without replacement, from the bag. Find the probability that 2 quarters are drawn.
First, we have to find the ratio of quarters to the ratio of total coins:
15/15+8+27 = 15/50
Then, multiply the ratios:
15/50 * 14/49
(14/49 since one quarter has already been removed)
210/2450
21/245 = 0.0857
The probability is about 9 percent.
You are testing a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. You find the initial conclusion of your test fails to reject the null hypothesis. State the final conclusion.
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.
There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.
The insufficient evidence found in your test indicates that there's not ample proof to reject the claim regarding the standard deviation of time women spend washing their hair in the morning being 15 seconds.
Explanation:In the realm of statistics, we are testing a claim about the standard deviation. In this case, you've tested a claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. If your test does not reject the null hypothesis, that means you've found insufficient evidence to say the standard deviation differs from your claim. Thus, your final conclusion in this instance would be: 'There is not sufficient evidence to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds.'
Learn more about Standard Deviation here:https://brainly.com/question/23907081
#SPJ12
The final conclusion is: There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
Explanation:The final conclusion is: There is not sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds. When the initial test fails to reject the null hypothesis, it means that there is not enough evidence to support the alternative hypothesis. In this case, it suggests that there is not enough evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is not 15 seconds.
To reach this conclusion, you would have conducted a hypothesis test using a significance level (alpha). If the p-value from the test is greater than alpha, you would fail to reject the null hypothesis. This means there is not enough evidence to support the alternative hypothesis, which implies that the claim of the standard deviation not being 15 seconds is not supported.
Learn more about Hypothesis testing here:https://brainly.com/question/34171008
#SPJ12
Zeros are never significant digits.
Please select the best answer from the choices provided
A:True
B:False
It is false because they could be at the end of a number
Megan has $50 in a savings account that earns 10% annually. The interest in not compounded. How much will she have in 1 year?
And
How much will she have in 3 years?
en un año gano 55 $ locual es un dato clave
Step-by-step explanation:
if x equals 12, find the value of x2
Answer:
24
Step-by-step explanation:
12 * 2 = 24
The value of x² is 144.
What is the square of a value?Just multiply an integer by itself to square it. For instance, "4 squared" equals 4 4 = 16. frequently displayed with a tiny 2 in the corner as follows: 42 = 16. "4 squared equals 16" is a common expression. The result of multiplying an integer (not a fraction) by itself is a square number.
Given
x = 12
x² = x * x = 12*12 = 144
To know more about value refer to :
https://brainly.com/question/11546044
#SPJ2
an angle represents 2/5 of a circle.
Answer:
114°
Step-by-step explanation:
The angle which represents 2/5 of a circle is 144 degree.
What is Angle?A figure known as an angle is created when two rays, referred to as the angle's sides and vertices, share a single terminal. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
Shaded portion= 2/5
and, the complete angle= 360
So, the 2/5 portion of the angle
= 360 x 2/5
= 720/5
= 144
Hence, the angle of portion 2/8 is 144 degree.
Learn more about Angle here:
https://brainly.com/question/28451077
#SPJ2
Which equation is satisfied by all three of the plotted points?
ANSWER
B. y=2x+1
EXPLANATION
The graph has a y-intercept of 1.
Let y=mx +b be the equation of the straight line graph.
where b=1 is the y-intercept.
We put this value into the equation to get,
y=mx +1.
Thie point (1,3) must also satisfy this line.
3=m(1)+1
m=3-1
m=2
The equation is
y=2x+1
find the area of the rhombus
Answer:
Step-by-step explanation:First of all you don't have anything to solve and the formal of a rhombus is base times height.
Okay so like maybe next time try to include a picture so we can see it, because we cant solve anything
NEED HELP 15 POINTS!!!
Circumference = diameter x PI
Circumference = 3.14 x 68 yards = 213.52 yards.
Area = PI x r^2
r = 1/2 the diameter = 1/2 x 68 = 34 yards.
Area = 3.14 x 34^2 = 3.14 x 1156 = 3629.84 yards^2
Which points are 3.5 units apart?
.5 and 4 I think there should be a abcd questions
Answer:
(7.5, 1.2) and (7.5, –2.3)
Step-by-step explanation:
Hope this helps
HELPP IN THE PICTURE
Answer:
Given in the question an expression,
y = 3x/(8+x)
Step1
interchange the variables
x = 3y/(8+y)
Step 2
x(8+y) = 3y
Step 3
8x + xy = 3y
Step 4
8x = 3y - xy
Step 5
8x = y(3 - x)
Step 6
8x = y(3 - x)
Step 7
y = 8x/(3-x)
Step 8
y = f(x^-1) = 8x/(3-x)
So the inverse of f(x)= 3x/(8+x) is f(x^-1) = 8x/(3-x)
The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg Find the side lengths of the triangl
Let [tex]x[/tex] be the length of the shorter leg.
The other leg is 1m longer, so its length is [tex]x+1[/tex]
The hypothenuse is 9m longer, so its length is [tex]x+9[/tex]
The pythagorean theorem states that the sum of the squares of the legs is the square of the hypothenuse, so we have
[tex]x^2+(x+1)^2=(x+9)^2[/tex]
Expanding the squares gives
[tex]x^2+x^2+2x+1=x^2+18x+81[/tex]
Move all to the left hand side:
[tex]x^2-16x-80=0[/tex]
This equation has solutions [tex]x=-4[/tex] and [tex]x=20[/tex]
We can't accept the first solution, because it would lead to the side lengths
[tex]x=-4,\quad x+1=-3,\quad x+9=5[/tex]
And we can't have negative side lengths.
The other solution is fine, because it leads to the side lengths
[tex]x=20,\quad x+1=21,\quad x+9=29[/tex]
So, the side lengths are 20 (shorter leg), 21 (longer leg), 29 (hypothenuse)
Answer:
20 m , 21 m and 29 m.
Step-by-step explanation:
Let the length of the shorter leg be x m. Then the longer leg = x + 1 m and the hypotenuse = x + 9 m. So, by Pythagoras:
(x + 9)^2 = x^2 + (x + 1)^2
x^2 + 18x + 81 = x^2 + x^2 + 2x + 1
18x + 81 = x^2 + 2x + 1
x^2 - 16x - 80 = 0
(x - 20)(x + 4) = 0
x = 20, -4 (as we are dealing with lengths of sides we ignore the negative root).
So the sides have length 20, 21 and 29 (answer).
If 42 × 43 = n, then which division equation is also true?
Answer: n divided by 43
Step-by-step explanation: You always take the last number of the equation and divide it by the answer and you should get the first number.
Order the following from least to greatest: -0.3, 4/5, -5/12, 0.92
Answer:
-5/12, -0.3, 4/5, 0.92
Step-by-step explanation:
because: -5/12 = -0.41666666666
-0.3
4/5 = 0.8
0.92
and the negatives are always the least especially if it's a great number with a negative sign.
PLEASE HELP ASAP!
A 6-foot-tall man is standing atop a 9-foot wall. The distance along the hypotenuse from the top of the man’s head to the ground, as shown, is 17 feet. Each kneeling child takes up 1 foot of space. How many children can kneel along the bottom of the triangle as shown? Assume the wall and the man are vertical, forming a right angle with the ground.
Answer:
8
Step-by-step explanation:
hypotenuse = c = 17 feet
Height = a = 9 feet + 6 feet = 15 feet
Children's space = b
a^2 + b^2 = c^2
15^2 + b^2 = 17^2
225 + b^2 = 289 Subtract 225 from both sides
225-225+b^2=289-225
b^2 = 64 Take the square root of both sides.
sqrt(b^2) = sqrt(64)
b = 8
Since each child takes up 1 foot, 8 children can sit on side b.
what is the slope of a line that contains the points (1,9) and (4,3)
Answer:
The slope is -2
Step-by-step explanation:
To find the slope of a line when we have 2 points, we use the formula
m = (y2-y1)/(x2-x1)
= (3-9)/(4-1)
= -6/3
-2
The slope of the line is -2
To find the slope of a line using two points, there are many formulas, however the easiest one to use is (rise/run)
The rise is the difference in the Y value and the run is the difference in the X value
(9-3)/(1-4) = (6/-3) = -6/3, which can be simplified to -2
What is the value if x a. 20 b. 25 c. 45 d. 65
what's the equation to find x