Answer:
1620
Step-by-step explanation:
You don’t use the 10,000.
12 bars/box x 135 calories/box=1,620 per box
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
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:
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.
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).
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
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 -3SAT 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]
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.
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.
A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:
Area = length * width
169 = xy
y = 169/x
Also the perimeter of the rectangular pen is:
Perimeter (P) = 2(length + width)
P = 2(x + y)
P = 2x + 2y
P = 2x + 2(169/x)
P = 2x + 338/x
The least amount of fencing is at dP/dx = 0, hence:
dP/dx = 2 - 338/x² = 0
338/x² = 2
2x² = 338
x² = 169
x = 13 feet
y = 169 / x = 169/13 = 13 feet
The least amount of fencing = P = 2(x + y) = 2(13 + 13) = 52 feet
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:
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:
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
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
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
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
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
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?
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:
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
the product of two consecutive positive odd integers is 2499 find the bigger integer
Step-by-step explanation:
Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.
Now, Product of two consecutive positive odd integers = 2499
=>n*(n+2) = 2499
=>n^2+2^n-2499=0
=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0
=>(n+51)(n-49)=0
=>n=49 (n is not equal to -51 which is negative integer).
So,bigger integer =(n+2)=49+2=51.
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.
If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the nearest tenth.
Answer:
27.2 ft
Step-by-step explanation:
We solve using the Trigonometric function of tan
tan θ = Opposite/Adjacent
θ = 66°
Opposite = Height of the building = 61 ft
Adjacent = Length of the shadow = ? = x
tan 66 = 61/x
Cross Multiply
tan 66 × x = 61
x = 61 ft/tan 66
x = 27.158949804 ft
Approximately = 27.2 ft
The length of the shadow = 27.2 ft
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 :)
Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.
Answer:
510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316
rounding to the tenth we get 134.2
A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]
Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]
Derivative of a function gives the maxima or minima at certain point
[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]
Thus, it takes ball 2.81 s to reach the top.
PLEASE HELP 25 POINTS
Evaluate 4(3 - 1)^2
O A. 16
O B. 128
O C. 64
O D. 32
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
please help me i have 65 questions i have to do
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°
