Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
Select the correct answer. A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2. Which graph matches the description?
Answer:
The third graph
Step-by-step explanation:
the figure is cut into 8 pieces.
shade 1/2 of the figure
You have to shade 4 boxes of the figure.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given is a box with 8 parts of it,
1/2 of 8 = 8*1/2 = 4
Hence, You have to shade 4 boxes of the figure.
For more references on fractions, click;
https://brainly.com/question/10354322
#SPJ5
Find the local and global extrema for the polynomial function f whose complete graph is provided.
Answer:
your mark is correct
Step-by-step explanation:
The marked answer choice is correct.
(2, -18) is not a global minimum, because there are function values that are lower.
(0, -6) is not a global maximum, because there are function values that are higher.
A global maximum is also a local maximum.*
_____
* More correctly, a global maximum is either a local maximum or the end point of an interval. No intervals are involved in this question.
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700,000,000
Answer:
A. 770,000,000
Step-by-step explanation:
7.7x10^8 First step is to simplify
7.7x100,000,000 Then, multiply
770,000,000
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.
Have a good day! :)
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also find the co-ordinates of the point of division
Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.
[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]
point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units
Answer:
10 unitsOption C is the correct option
Step-by-step explanation:
Let the points be A and B
A ( 4 , 5 ) ------> ( x1 , y1 )
B ( 10 , 13 ) ------> ( x2 , y2 )
Now, let's find the distance between these points:
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
plug the values
[tex] = \: \sqrt{(10 - 4) ^{2} + {(13 - 5)}^{2} } [/tex]
Calculate the difference
[tex] = \sqrt{ {(6)}^{2} + {(8)}^{2} } [/tex]
Evaluate the power
[tex] = \sqrt{36 + 64} [/tex]
Add the numbers
[tex] = \sqrt{100} [/tex]
Write the number in exponential form with. base of 10
[tex] = \sqrt{ {(10)}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
[tex] = 10 \: units[/tex]
Hope this helps..
Best regards!!
(a) A building has n floors numbered 1,2,...,n, plus a ground floor G. At the ground floor, m people get on the elevator together, and each gets off at a uniformly random one of the n floors (independently of everybody else). What is the expected number of floors the elevator stops at (not counting the ground floor)
Answer:
The expected number of floors the elevator stops at, not counting the ground floor is =
n*(1-(1-1/n)^m)
Step-by-step explanation:
Here, we want to know the expected number of floors the elevator stops at.
let X1,X2,X3,..Xn are indicator variable for which value =1 if at least one person stops on that floor otherwise value is 0
P(at least one person stops at floor Xj)=1-P(none of m people stops at floor j)
=1-(1-1/n)^m
here total number of floors on elevetor Stops X=X1+X2+X3+...+Xn
hence expected number of floors on elevetor Stops
E(X)=E(X1)+E(X2)+E(X3)...+E(Xn)
=(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+(1-(1-1/n)^m )+..... n times
=n*(1-(1-1/n)^m)
Emily reads a 210 page book in 7 days.She read the same number of pages each day.Write the number sentence that shows how to find the number of pages emily read each day.Then solve
Answer:
Step-by-step explanation:
7x=210
x=210/7=30 pages per day
Answer:
Emily read 30 pages per day.
Step-by-step explanation:
1. Divde 210 by 7
Number Sentance: 210÷7= 30
Reasoning:
Since Emily reads the same amount of pages each day we have too, divde 210 by 7.
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
Answer:
It has two solutions.
Step-by-step explanation:
Let as consider the given options are
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
The given equation is
[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]
Multiply both sides by 4z(4z-3).
[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]
[tex]12x-9=4z+80z^2-60z[/tex]
[tex]0=-12x+9+80z^2-56z[/tex]
[tex]0=80z^2-68z+9[/tex]
It is a quadratic equation.
Therefore, it has two solutions.
Answer:
It has 1 solution
Step-by-step explanation:
I did the test I put the guys above me in and got it wrong
The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
(pic inside) What is the approximate value of the function at x = 1?
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
Please give me the correct answer her please
Answer:
9.3 inStep-by-step explanation:
m∠UTV = 112° ⇒ m∠WTV = 180° - 112° = 68°
sin(68°) ≈ 0.9272
sin(∠WTV) = WV/TV
WV/10 ≈ 0.9272
WV ≈ 9.272
WV ≈ 9.3
4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent. Which statement is true about the diagram?
Answer:
a
Step-by-step explanation:
Your total monthly bill (T) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k) you use, you are charged $0.25 and for each therm (t) of gas used you are charged $0.97
The correct answer is A. T = 0.25k + 0.97t
Explanation:
For an equation to be correct it needs to include all important values and use the appropriate mathematical symbols to show how the values relate. In the case presented, it is known the total bill (T) is the result of both the electricity (k) and gas (t) consumed. According to this, the two values need to be added to find the total (T). This means T = k + t.
Besides this, it is specified a kilowatt or unit of electricity costs $0.25, this means the correct expression for finding the total paid for electricity is 0.25k as the number of kilowatts consumed need to be multiplied by the cost of a kilowatt. Similarly, the cost of the gas requires multiplying the number of therms by the cost of one therm, which is $097. According to this, the correct equation is T = 0.25k + 0.97t
Does any wonderful person want to be so kind and give your girl a hand? I am talking about the math question down below:)
Answer:
The last one, The Hypotenuse Leg Theorem, or HL Theorem,
Step-by-step explanation:
Answer:
HL theorem
Step-by-step explanation:
If any 2 right angled triangles have same length of hypotenuse then both are congruent by HL theorem
Which of the following are NOT identity property: y^2=y^2 17=17 0+7a=7a+0 -1+1=0 7 x 1= 7
Answer:
I believe it is -1+1=0
Step-by-step explanation:
5 - 2x/ 7 is greater than or equal to 1
5 - 2x >= 1 × 7
5 - 2x >= 7
-2x >= 7 - 5
-2x >= 2
x <= -1 sign changes when divided by negative number
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multiplying the previous term by $\frac{m}{7}$. If the first term of the sequence is positive, how many possible integer values are there for $m$?
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
[tex]Ratio = \frac{m}{7}[/tex]
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be [tex]x * \frac{m}{7}[/tex]
The next will be; [tex]x * (\frac{m}{7})^2[/tex]
The nth term will be [tex]x * (\frac{m}{7})^{n-1}[/tex]
For each of the successive terms to be less than the previous term;
then [tex]\frac{m}{7}[/tex] must be a proper fraction;
This implies that:
[tex]0 < m < 7[/tex]
Where 7 is the denominator
The sets of [tex]0 < m < 7[/tex] is [tex]\{1,2,3,4,5,6\}[/tex] and their are 6 items in this set
Hence, there are 6 possible integer
Find the missing factor.
7s^2 + + 13s + 6 = (7s + 6)
)
Answer:
71s
Step-by-step explanation:
The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.
Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,
(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²
84s - 13s = 71s, which fills in the blank provided.
Please answer this question now
Answer:
b=9.96≅10
Step-by-step explanation:
b^2=a^2+c^2−(2ac)cos(64)
b=√6²+11²-2(6*11)cos64
b=9.96≅10
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario? x + y = 500. 215 x + 615 y = 187,500 x minus y = 500. 215 x minus 615 y = 187,500 500 x + 500 y = 187,500. 215 x = 615 y 500 x = 500 y. 215 x + 615 y = 187,500
Answer:
x + y = 500
215x + 615y = 187,500
Step-by-step explanation:
The first equation can show the amount of land. The farmer has 500 acres to plant corn, x, and cotton, y.
x + y = 500
The second equation can show the cost. The farmer has $187,500 to invest when corn costs $215 per acre and cotton costs $615 per acre.
215x + 615y = 187,500
The system of equations is
x + y = 500
215x + 615y = 187,500
The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
And, Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season.
Now,
Let us take 'x' is plant acres of corn and 'y' is acres of cotton.
Since, A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y.
So, we can formulate;
⇒ x + y = 500
And, He has $187,500 to invest this season for corn costs $215 per acre to produce, and cotton costs $615 per acre to produce.
So, We can formulate;
⇒ 215x + 615y = 187,500
Thus, The correct system of represents this scenario will be,
⇒ x + y = 500
⇒ 215x + 615y = 187,500
Where,' x' is plant acres of corn and 'y' is acres of cotton.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if exactly two of the triplets are in the starting lineup?
Answer:
990 ways to choose 6 starters out of 14 with exactly two of the three triplets.
Step-by-step explanation:
Ways to choose 2 of the triplets
= C(3,2) = 3! / (2!1!) = 3
Ways to choose the remaining 4 starters out of 11 players left
= C(11,4) = 11! / (4!7!) = 330
Total number of ways to choose 6 starters
= 3*330 = 990
PLEASE HELP!!! no crazy answers please
Answer:
(a) 63 cups
(b) 16 cups
Step-by-step explanation:
Given that the volume of the sink = (2000/3)×π in³
(a) For the cup that has diameter = 4 in. and height, h = 8 in.
The radius, r = Diameter/2 = 4/2 = 2 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×2²×8 = (32/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((32/3)×π ) = 125/2=62.5 cups
Rounding to the next whole number gives 62.5 cups ≈ 63 cups
(b) For the cup that has diameter = 8 in. and height, h = 8 in.
The radius, r = Diameter/2 = 8/2 = 4 in.
The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×4²×8 = (128/3)×π in.³
The number of cups to scoop = (Volume of the sink)/(Volume of the cup)
The number of cups to scoop = ((2000/3)×π)/((128/3)×π ) = 125/8=15.625 cups
Rounding to the next whole number gives 15.625 cups ≈ 16 cups.
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,600. A random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05. The confidence interval for this hypothesis test would be ________.
Answer:
A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Step-by-step explanation:
We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average debt load = $18,800
[tex]\sigma[/tex] = population standard deviation = $4,800
n = sample of students = 28
[tex]\mu[/tex] = population average debt load
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 5% level of
significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]
= [$17,022.05, $20,577.94]
Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Answer:
30x² cubic units
Step-by-step explanation:
The volume of an Oblique prism = Base Area × Height
This oblique prism has trapezoidal bases.
Area of a Trapezoid = 1/2 × h × ( b1+b2)
where h = height
b1 and b2 = bases of the Trapezoid.
From the question,
h = 20
b1 = x
b2 = 2x
Area of the Trapezoid =
1/2 × x ×( x + 2x)
1/2 × x × (3x)
3x²/2 square units.
Remember, the volume of an Oblique prism = Base Area × Height
Height of the prism = The distance between the 2 trapezoid bases = 20 units.
Base Area = 3x²/2 square units × 20 units
= 30x² cubic units
Answer:
d
Step-by-step explanation:
Solve this quadratic equation using the quadratic formula. 3x2 + 5x + 1 = 0
x=−0.23240812,−1.43425854
FInd the Slope and y-intercept
3y-x=18
Answer:
The slope is 1/3 and the y intercept is 6
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
3y -x =18
Add x to each side
3y = x+18
Divide each side by 3
3y/3 = x/3 +18/3
y = 1/3x +6
The slope is 1/3 and the y intercept is 6
We need to solve for y (y = mx + b):
3y - x = 18
~Add x to both sides
3y = 18 + x
~Divide 3 to everything
y = 6 + x/3 or y = 6 + 1/3/x
So... 1/3 is the slope and 6 is the y-intercept.
Best of Luck!
There are four inequalities that define the region R.
One of these is y
Find the other three inequalities,
Answer:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
Step-by-step explanation:
The region R is surrounded by 4 lines, the first one is y=x+1, the second one is y=0 or the axis x, and the third and fourth one need to be calcualted.
To find the equation of a line through the points (x1,y1) and (x2, y2) we can use the following equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Then, our third line is going to be the line that passes through the points (2,0) and (4,3), so the equation is:
[tex]y=\frac{3-0}{4-2}(x-2)\\y=\frac{3}{2}x-3[/tex]
Our fourth line is the line that passes through the points (3,0) and (0,3), so the equation is:
[tex]y=\frac{3-0}{0-3}(x-3)\\y=-x+3[/tex]
Then we can say that the other three inequalities are:
[tex]y\geq 0\\y\geq \frac{3}{2}x-3\\ y\leq -x+3[/tex]
Describe each transformation from f(x)
(red) to g(x) (green) in terms of x.
A point like (2,0) that is on the red curve goes to (-2,0) on the green curve. The rule used is [tex](x,y) \to (-x,y)[/tex] which describes a reflection over the y axis. The other points use this rule as well.
In other words, every x becomes -x. Whatever the sign is for x, we swap it from positive to negative or vice versa. This means g(x) = f(-x).
Find the value of x in the
following parallelogram:
2x - 5
X + 10
x = [?]
Answer:
15
Step-by-step explanation:
Opposite sides in a parallelogram are equal.
2x - 5 = x + 10
Subtract x and add 5 on both sides.
2x - x = 10 + 5
Combine like terms.
x = 15
Answer:
[tex]\boxed{\red {x= 15}}[/tex]
Step-by-step explanation:
We know that opposite sides in a parallelogram are equal.
So, in this sum value of the sides in a parallelogram
[tex]x + 10 \: \: \: and \: \: \: 2x - 5[/tex]
So now let's create an equation
[tex]x + 10 = 2x - 5[/tex]
Now let's solve for x
[tex]x + 10 = 2x - 5 \\ 10 + 5 = 2x - x \\ 15 = x[/tex]