Given:
Initial ice sheet's thickness = 2 meter
After 3 weeks, the ice sheet's thickness = 1.25 meters
To find:
The equation for the relationship between the thickness and number of weeks.
Solution:
Let y represent the ice sheet's thickness (in meters) after x weeks.
Initial ice sheet's thickness = 2 meter
It means, the equation of relation must be satisfy by the point (0,2).
After 3 weeks, the ice sheet's thickness = 1.25 meters
It means, the equation of relation must be satisfy by the point (3,1.25).
If a linear function passes through two points, then the equation is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{1.25-2}{3-0}(x-0)[/tex]
[tex]y-2=\dfrac{-0.75}{3}x[/tex]
[tex]y-2=-0.25x[/tex]
Add 2 on both sides.
[tex]y=-0.25x+2[/tex]
Therefore, the required equation for the given relation is [tex]y=-0.25x+2[/tex].
Is 10−−√ greater than, less than, or equal to 5? Use the drop-down menus to explain your answer. Because 10 lies between two consecutive perfect squares, Choose... , 10−−√ is located between the Choose... of these two numbers. This means that 10−−√ is located between Choose... , so 10−−√ is Choose... 5.
Answer:
[tex]\sqrt{10} < 5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]
Required
Fill in the gap
First, we need to solve [tex]\sqrt{10}[/tex]
[tex]\sqrt{10}= 3.162[/tex]
So:
[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]
becomes
3.162 ___ 5
3.162 lies between 3 and 4
So, we can say that
[tex]\sqrt{10}[/tex] lies between 3 and 4
Since:
3.162 is less than 5, the gap can be filled with <.
So, we have: 3.162 < 5
Convert the equation into Slope-Intercept Form:
x - y = 11
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185+4b≤1,000 can be used to determine the number of new baseball, b, that the team can purchase. Which statement about the number of new baseballs that can be purchased is true?
This question is incomplete
Complete Question
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.
The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can
purchase. Which statement about the number of new baseballs that can be purchased is true?
A. The team can purchase 204 new baseballs.
B. The minimum number of new baseballs that can be purchased is 185.
C. The maximum number of new baseballs that can be purchased is 185.
D. The team can purchase 185 new baseballs, but this number is neither the
maximum nor the minimum.
Answer:
D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
Step-by-step explanation:
The first step would be to solve the given equation:
185 + 4b ≤ 1000
4b ≤ 1000 - 185
4b ≤ 815
Divide both sides by 4
b ≤ 203.75
The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.
Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
The maximum number of ball they can buy is 203 balls and the minimum is zero.
Chris bought 26 pounds of sugar for $11
How many pounds of sugar did he get per dollar?
Answer:
2.36lb/$
Solution:
(26lb) ÷ (11$) = 2.36lb/$
The radius of a circle is 111 units.
What is the diameter of the circle? khan academy
Answer:
222
Step-by-step explanation:
Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle.
Need help on this question ASAP PLEASEE and thank you!! (:
Answer:
8^(3x-4)=5x+4
plz help ../////copy and complete these tables ,then draw both graphs on one set of cases///// ...
if possible explain it
Step-by-step explanation:
Hey there!
To solve like this type of problem;
Keep value of x as given in the equation to find 'y'.After that take out the points of x and y and keep in (x,y).Plot them on graph.See answers on attachment;
Hope it helps...
PLEASE HELP THIS IS DUE IN 10 MINUTES
How would you solve for x?
11,928/1,988 = x/1
Answer:
6/1 GO GO GO
Step-by-step explanation:
6. A pizza's original price is $11. It is on sale for $9.25. What percent off is it?
Solution:
We know that:
[tex]Original \ price = \$11[/tex]
[tex]Sale \ price = \$9.25[/tex]
[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]
Simplify the equation to find the percent off:
[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]
[tex]84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded][/tex]
This means that the original price has decreased about 16%.
A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation is 1.36. Samples 1 2 3 4 5 6 7 8 9 10 9 13 13 11 11 10 9 13 7 9 8 11 9 11 10 10 12 11 7 12 9 12 9 12 10 7 11 7 13 10 10 14 11 10 10 13 9 9 12 7 13 12 10 10 9 9 10 8 10 13 a) Standard deviation of the sampling means = . 608 ounces (round your response to three decimal places). b) With z = 3, the control limits for the mean chart are: UCL Subscript x overbar = 12.124 ounces (round your response to three decimal places). LCL Subscript x overbar = 8.476 ounces (round your response to three decimal places). c) The control limits for the R-chart are: UCL Subscript Upper R = nothing ounces (round your response to three decimal places).
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Population standard deviation (σ) = 1.36
Sample size (n) = 5
A.)Standard deviation of sampling mean (σx) = (σ/√n)
(1.36/√5)
1.36 / 2.236
= 0.608
B.) With z = 3, the control limits for the mean
chart :
Control limit = m ± zσx
Using calculator ; mean (m) of the data = 10.40
Lower control limit : 10.4 - 3(0.608) = 8.576
Upper Control limit : 10.4 + 3(0.608) = 12.224
The control limit for the range :
Average value of range(R) in the sample = 3.6
Lower Control limit : R*D3
Upper control limit: R*D4
From the range chart table :
D3 = 0 ; D4 = 2.114
Lower Control limit : R*D3 = 3.6(0) = 0
Upper control limit: R*D4 = 3.6(2.114) = 7.61
asap- (2.6w−4.2x)+(1.3w+8.1y)(1.3w+8.1y)+(3.6y+9.6x)(3.6y+9.6x)
[tex](2.6w - 4.2x) + (1.3w + 8.1y)(1.3w + 8.1y) + (3.6y + 9.6x)(3.6y + 9.6x)\\= (2.6w - 4.2x) + (1.69w^2 + 10.53wy + 10.53wy + 65.61y^2) + (12.96y^2 + 34.56xy + 34.56xy + 92.16x^2)\\= 2.6w - 4.2x + 1.69w^2 + 21.06wy + 65.61y^2 + 12.96y^2 + 69.12xy + 92.16x^2\\= 2.6w - 4.2x + 1.69w^2 + 21.06wy + 78.57y^2 + 69.12xy + 92.16x^2[/tex]
Can someone help me on this question? I’ll mark you brainliest if you answer soon!!!
a || b = given
l || m = given
angle 6 equals angle 9 = corresponding angles.
angle 9 equals angle 16 = alternate exterior angles.
angle 6 equals angle 16 = transitive property.
#9 find the slope in the graph MULTIPLE CHOICE
What is the area of this figure?
19 11
8 t
12 t
3 It
21 ft
3 ft
10 ft
4 it
Answer:
213 ft²
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{Area of rectangle = length}\times\text{breadth}}[/tex]
Area of figure
= area of rectangle A + area of rectangle B +area of rectangle C
Rectangle A
Length= 12 ft
Breadth= 8 ft
Area= 12(8)= 96 ft²
Rectangle B
Length= 3 ft
Breadth= 3 +8= 11 ft
Area= 3(11)= 33 ft²
Rectangle C
Length= 4 ft
Breadth= 21 ft
Area= 4(21)= 84 ft²
Thus, area of figure
= 96 +33 +84
[tex] = \textcolor{red}{213 \: \text{ft}^{2} }[/tex]
Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function f(x)=4.1x+26 represents the percentage of people, f(x), who graduated from college x years after 1998
Answer:
Kindly check explanation
Step-by-step explanation:
Given the linear function: f(x)=4.1x+26
Comparing the equation with the general linear regression Equation :
f(x) = mx + c
Where ;
m = slope ; x = independent variable ; c = intercept
Hence, the slope of the equation is 4.1
The expression goes those; the dependent variable y increases by 4.1 per 1 degree increase in the dependent variable.
Please Help! Leave Explanation :))
A digital board game has 25 squares
with 5 squares of each color. The
results of 625 games are shown below.For which color is the experimental probability closest to the theoretical probability?
Answer:
20%
Step-by-step explanation:
Answer:
Had this on my test its pink
Step-by-step explanation:
625/5 (the total amount of colors, the 5)
you get 125 the closes to 125 is pink
Evaluate the expression 17 x (-12 + 10)2
Answer:
-68
Step-by-step explanation:
Help!! I need help with this problem
If possible can you guys explain :) thanks
Answer:
what problem baby girl
Step-by-step explanation:
Use > , < , or = to compare the numbers below:
49 ____ 49
Answer: =
Step-by-step explanation:
49 = 49
Answer:
=
Step-by-step explanation:
if we have 49 cookies, and another person also had 49 cookies, then my friend and I would have the equal amount of cookies. 49 is not less than 49, and 49 is not greater than 49.
HELP
Which point is located at (1, 3)?
A
B
C
D
Answer:
I don't know if you typed the question wrong, but coordinates are written as (x, y).
A (1, -3)
B (-3, 1)
C (-1, 3)
D (3, -1)
Hope I helped!
Step-by-step explanation:
Factor completely 2x2 − 18. Prime 2(x2 − 9) 2(x 3)(x − 3) 2(x 3)(x 3).
By using identity we got the factorization form of [tex]2x^2-18[/tex] as
[tex]2(x-3)(x+3)[/tex]
What is factorization?factorization is a way of writing any expression in form of product of some expressions
Given polynomial
[tex]2x^2-18[/tex]
We can factorize it as
[tex]2x^2-18\\\\2(x^2-9)\\\\2(x^2-3^2)\\\\2(x-3)(x+3)[/tex]
By using identity we got the factorization form of [tex]2x^2-18[/tex] as
[tex]2(x-3)(x+3)[/tex]
To learn more about factorization visit :https://brainly.com/question/25829061
Found the slope of the line passing through the two points . (4,3) (3,8)
Answer:
m=-5 I THINK??
Step-by-step explanation:
find the value of X also show the process please..
Answer: 65
Step-by-step explanation:
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222.... Answer parts a and b. a. Write this number as a fraction.
Complete question :
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222...
1. Write this number as a fraction (Steps)
2. How many students said they would vote for Brianna?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Total number of students = 45
Proportion of those who said yes to the total number of students = 0.62222...
1.) writing 0.622222... as a decimal
0.62222 / 1
Multiply numerator and denominatior by 100000 to get rid of the decimal
62222/100000
= 31111 / 50000
Let number who said yes = y
Then,
y / 45 = 31111/50000
50000y = 1399995
y = 1399995 / 50000
y = 27.999
y = 28
What is the ancwer, worth 10 points!!!!
3/7 divided by 2/3
Choises: 6/21, 1/2, 9/14, 1 5/9
Answer: 9/14
Step-by-step explanation: To divide, you fave the find the reciprocal of 2/3, which is 3/2. Now you multiply 3/7 and 3/2 across, which is 9/14.
Simplify 19-4b
Thank you
Answer:
4.75-b
Step-by-step explanation:
19-4b
19/4-4b/4
4.75-b
HELP HELP HELP HELP HELP
The length of a rectangle is five times its width.
If the area of the rectangle is 405cm^2, find perimeter
Answer:
108
Step-by-step explanation:
Let's say the width is x
Of the length is 5 times the width, then the length is 5x
Area = length * width
405 = x * 5x
405 = 5x^2
405/5 = 5x^2/5
81 = x^2
Take the square root of both sides
2/[81 = 2/[x^2
9 = x = width
9 × 5 = 45 = length
Perimeter = 2 × length + 2 × width
2 × 45 + 2 × 9
90 + 18 = 108
A line has a slope of 5 and another line has a slope of -1/5. Are the two lines parallel, perpendicular or neither?
Answer:
its parallel
Step-by-step explanation:
Please do It fast, I need it
If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?
The reduction was 1/5.
Because you are given the reduced values, multiply the reduced value by the inverrse of the factor:
Inverse of 1/5 = 5
Height = 3 x5 = 15
Base = 5 x 5 = 25
The base is 25