Answer:
1
Step-by-step explanation:
Given :
[tex]\frac{1}{6}[/tex] divided by [tex]\frac{1/2}{3}[/tex]
Now, it can be solving as:
[tex]\frac{1/6}{\frac{\frac{1}{2} }{3} } \\=\frac{\frac{1}{6} }{\frac{1}{6} } \\=1[/tex]
Simplest form of given equation is 1
The graph is a line that passes trough the coordinates (2, 11) and (8, 14). Which is an equation in terms of x and y for this function?
A. y = 1/2 x + 10
B. y = 2/3 x + 9
C. y = 3/2 x + 8
D. y = 2x + 7
Answer:A
Step-by-step explanation:
m=(14-11)/(8-2)
m=3/6
m=1/2
y = 1/2x+b substitute one of the points
11=1/2(2)+b
11=1 + b
b=10
y = 1/2x+10
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
PLEASE HELP 25 POINTS
Evaluate 4(3 - 1)^2
O A. 16
O B. 128
O C. 64
O D. 32
Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
(High points) please find the equation and explain. Legit answers only thank you
The x-intercept is when y=0. It is the point on the x-axis. Solve for x when y=0 in the first equation.
2x + 3(0) + 6 = 0
2x = -6
x = -3
x-intercept is (-3, 0).
The line we want has the same slope as the second equation because it is parallel. From the second equation,
-5y = -2x + 7
y = (2/5)x - (7/5)
The slope is 2/5.
Using the x-intercept and slope, along with the general form of the line y = mx + b , we can solve for b.
y = mx + b
0 = (2/5)(-3) + b
0 = (-6/5) + b
(6/5) = b
The equation we want is
y = (2/5)x + (6/5)
Step-by-step explanation:
drop some thanks plss ✌
follow too
what is the measure of the supplement of a 65.4 angle
Answer:
65 degree angle but when straight 180 degree angle
Step-by-step explanation:
sry if wrong :)
Jenny walked around the football field which statement explains whether the example describes area or perimeter
Answer:
perimeter
Step-by-step explanation: If she walks around its perimeter. If she covers every inch of ground covered by the field its area.
Perimeter would be like an outline. And area would be the whole thing shaded.
simpifly fully, does anyone know the answer.
Answer:
Step-by-step explanation:
Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.
Hope this helps u !!
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
SAT MATH, PLEASE HELP PLEASE THIS IS MY LAST CHANCE
Answer:
[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]
Step-by-step explanation:
[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]
[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]
What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
A rectangle has an area of 4x²-8x+3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
a. 2x-1
b. 2x-3
c. 4x-4
d. 8x-8
e. 10x-8
Today, the population of Canyon Falls is 22{,}50022,50022, comma, 500 and the population of Swift Creek is 15{,}20015,20015, comma, 200. The population of Canyon Falls is decreasing at the rate of 740740740 people each year while the population of Swift Creek is increasing at the rate of 1{,}5001,5001, comma, 500 people each year. Assuming these rates continue into the future, in how many years from today will the population of Swift Creek equal twice the population of Canyon Falls
Answer:
10 years
Step-by-step explanation:
Given :
Population of Canyon falls = 22500
Rate of decrease = 740 per year
Population after x years :
f(x) = 22500 - 740x ; x = number of years
Population of Swift Creek = 15200
Rate of Increase = 1500 per year
Population after x years :
f(x) = 15200 + 1500x ; x = number of years
Number of years when, population of swift creek will be twice that of Canyon falls
15200 + 1500x = 2(22500 - 740x)
15200 + 1500x = 45000 - 1480x
15200 - 45000 = - 1480x - 1500x
-29800 = - 2980x
x = 29800 / 2980
x = 10
After 10 years
(PLEASE HELP 30 POINTS)
Select all the correct answers.
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The
total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which
statements about the length of each plot are true?
The equation x3 - 15x2 - 100x - 2,688 0 can be used to find the length of each plot.
The equation x3 + 25x2 + 100% -2,688 = 0 can be used to find the length of each plot.
o o o o o
The equation x3 + 15x2 - 100x - 2,688 = 0 can be used to find the length of each plot.
The length of each plot is 12 yards.
The length of each plot is 8 yards.
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:x^3+15x^2-100x-2,688=0
Step-by-step explanation:
10 points, will give brainliest. look ag the picture!!
Answer:
since angle x and y are the same the answer will be
A: x=y
Ramiro tiene que reemplazar un vidrio roto de su casa, que tiene forma rectangular y mide 3,23m y 2,55m. Cuántos metros cuadrados de vidrio tiene que comprar
Answer:
8,24 metros cuadrados de vidrio
Step-by-step explanation:
Área de un rectángulo = Largo × Ancho
De la pregunta anterior
Longitud = 3,23 m
Ancho = 2,55 m
Área del rectángulo = 3,23 m × 2,55 m
= 8.2365 m²
Aproximadamente = 8,24 m²
Por tanto, Ramiro tiene que comprar 8,24 metros cuadrados de vidrio
Need to make a rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that will be needed?
Answer:
The least amount of fencing needed for the rectangular pen is 72.19 feet.
Step-by-step explanation:
The area and perimeter equations of the pen are, respectively:
[tex]p = 2\cdot (x + y)[/tex] (1)
[tex]A = x\cdot y[/tex] (2)
Where:
[tex]p[/tex] - Perimeter, in feet.
[tex]A[/tex] - Area, in square feet.
[tex]x[/tex] - Width, in feet.
[tex]y[/tex] - Length, in feet.
Let suppose that total area is known and perimeter must be minimum, then we have a system of two equations with two variables, which is solvable:
From (2):
[tex]y = \frac{A}{x}[/tex]
(2) in (1):
[tex]p = 2\cdot \left(x + \frac{A}{x}\right)[/tex]
And the first and second derivatives of the expression are, respectively:
[tex]p' = 2\cdot \left(1 -\frac{A}{x^{2}} \right)[/tex] (3)
[tex]p'' = \frac{4\cdot A}{x^{3}}[/tex] (4)
Then, we perform the First and Second Derivative Test to the function:
First Derivative Test
[tex]2\cdot \left(x - \frac{A}{x^{2}} \right) = 0[/tex]
[tex]2\cdot \left(\frac{x^{3}-A}{x^{2}} \right) = 0[/tex]
[tex]x^{3} - A = 0[/tex]
Given that dimensions of the rectangular pen must positive nonzero variables:
[tex]x^{3} = A[/tex]
[tex]x = \sqrt[3]{A}[/tex]
Second Derivative Test
[tex]p'' = 4[/tex]
In a nutshell, the critical value for the width of the pen leads to a minimum perimeter.
If we know that [tex]A = 169\,ft^{2}[/tex], then the value of the perimeter of the rectangular pen is:
[tex]x = \sqrt[3]{169\,ft^{2}}[/tex]
[tex]x \approx 5.529\,ft[/tex]
By (2):
[tex]y = \frac{A}{x}[/tex]
[tex]y = \frac{169\,ft^{2}}{5.529\,ft}[/tex]
[tex]y = 30.566\,ft[/tex]
Lastly, by (1):
[tex]p = 2\cdot (5.529\,ft + 30.566\,ft)[/tex]
[tex]p = 72.19\,ft[/tex]
The least amount of fencing needed for the rectangular pen is 72.19 feet.
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
find the y-intercept of the line that has a slope of -3 and passes through (9,0)
9514 1404 393
Answer:
27
Step-by-step explanation:
For point (x, y) and slope m, the y-intercept can be found from the equation ...
b = y -mx
b = 0 -(-3)(9) = 27
The y-intercept is +27. The corresponding ordered pair is (0, 27).
If KJ=4 and KM= 2, find ML
Answer:
6
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(KL) * (KM) = KJ^2
(KM+ ML) * KM = KJ^2
(2+ ML) * 2 = 4^2
(2+ ML) * 2 =16
Divide each side by 2
(2+ ML) = 8
Subtract 2 from each side
ML = 6
If my weekly pocket money goes up by 50% each year . How much will I be getting a week after 3 years if I start on £1 a week ?
Answer: £3.38
Step-by-step explanation:
In the first year, the pocket money goes up by:
= 1 + (1 * 50%)
= £1.50
In the second year:
= 1.50 + (1.50 * 50%)
= £2.25
In the third year:
= 2.25 * ( 2.25 * 50%)
= £3.38
Plz help me solve this problem
The answer is 19 they worked it out right above the question.
Answer:
19
Step-by-step explanation:
3(x+6) = 5(x-4)
Distribute
3x+18 = 5x-20
Subtract 3x from each side
18 = 2x-20
Add 20 to each side
38 = 2x
Divide by 2
19 = x
The solution is 19
write short note on the rule on how to bisect a perpendicular angle
Answer:
Given a line segment AB
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Step-by-step explanation:
for more help please follow
Answer:
Follow the steps below to construct a perpendicular bisector of a line segment.
Step 1: Draw a line segment XY of any suitable length.
Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with Y as the center.
Step 4: Label the points of intersection as 'P' and 'Q'.
Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.
Step-by-step explanation:
he local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Solve the simultaneous equations
2x+4y=1
3x-5y=7
Answer:
Step-by-step explanation:
Step 1: Add -4y to both sides.
2x+4y+−4y=1+−4y
2x=−4y+1
Step 2: Divide both sides by 2.
2x
2
=
−4y+1
2
x=−2y+
1
2
Step 1: Add 5y to both sides.
3x−5y+5y=7+5y
3x=5y+7
Step 2: Divide both sides by 3.
3x
3
=
5y+7
3
x=
5
3
y+
7
3
Is the Function exponential?
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
2x-3
Step-by-step explanation:
f (x) = 3x - 1
g(x) = x + 2
(f - g)(x) = 3x-1 - ( x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x-1-2
= 2x-3
(f - g )( x ) = 2 x - 3
step-by-step explanation:f ( x ) = 3x - 1
g ( x ) = x + 2
(f - g )(x ) = ( 3x - 1 ) - ( x + 2. )remove unnecessary parantheses
3 x - 1 - x - 2collect like terms
3x - x - 1 -22 x -3box method answer of (-5x-1)(-3x-4)
Answer:
15x^2 + 23x = 4
Step-by-step explanation:
NOT BOX METHOD :
(-5x-1)(-3x-4)
=15x^2+20x+3x+4
=15x^2+23x+4
Is Your Eyes Good?
Can You Identify The Word
Answer:
No way its too blur XD
Step-by-step explanation:
sports
watching tv
reading books
surfing
and sleeping maybe
Answer:
Sports - 25%
Surfing - 25%
Reading Books - 20%
Watching TV - 25%
Malling - 5%
Step-by-step explanation:
What is the measure of x?
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
