Answer:
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
Step-by-step explanation:
Given
[tex]Area = 180m^2[/tex]
[tex]Width = Length - 8[/tex]
Required
Determine the Length and the Width
Represent Width with W and Length with L;
So, we have:
[tex]Area = L * W[/tex]
[tex]Area = L * (L - 8)[/tex]
[tex]180 = L * (L - 8)[/tex]
[tex]180 = L^2 - 8L[/tex]
[tex]L^2 - 8L - 180 = 0[/tex]
Expand
[tex]L^2 - 18L + 10L- 180 = 0[/tex]
[tex]L(L - 18) + 10(L- 18) = 0[/tex]
[tex](L + 10)(L- 18) = 0[/tex]
Split
[tex]L + 10 =0[/tex] or [tex]L - 18 = 0[/tex]
[tex]L = -10[/tex] or [tex]L = 18[/tex]
But length cant be negative:
So,
[tex]L = 18[/tex]
Recall that:
[tex]Width = Length - 8[/tex]
[tex]W = 18 - 8[/tex]
[tex]W = 10[/tex]
Hence:
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
The dimension of the rectangular garden is 8m by 10m
The formula for calculating the area of the rectangular garden is expressed as;
A = lw
l is the length
w is the width
If the width of the garden must be 8 meters less than the length, then;
w = l - 8
Substitute into the formula;
180 = l(l-8)
180 =l^2 - 8l
l^2-8l - 180 = 0
Factorize the result;
l(l+10)-8(l+10) = 0
(l-8)(l+10)=0
l = 8 and -10
Since A = lw
w = A/l
w = 180/8
w = 10
Hence the dimension of the rectangular garden is 8m by 10m
Learn more on area of the rectangle here:https://brainly.com/question/17416965
In a watch, the minute hand crosses the hour hand for the third
time exactly after every 3 hr 18 min and 15 s of watch time. What
is the time gained or lost by this watch in one day?
Determine the x- and y-intercepts of the graph of x−4y=8 . HURRY!!!
the answer in point-slope form is y = 1/4x-2 so your y-intercept is -2 and from there, move up one and right four. your points would be (0, -2) and (4, -1)
hope this helped! :)
To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.
PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927
a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______
i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.
Answer:
A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. ii. -4.681
Step-by-step explanation:
A. Based on the statistics that was shown in the given information above the:
Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND
B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable
Using this formula
Slope =r*Sy/Sx
Let plug in the formula
Slope=-0.927*18.33/3.63
Slope=-16.99191/3.63
Slope=-4.681
Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681
Taylor buys dog food for $1.25 a pound. How much will he pay for 8.6 pounds of dog?
Answer:
Taylor will pay $10.75
Step-by-step explanation:
If 1.25 PER/for each/for one pound that means you would multiply. So the equation is 8.6 x 1.25 = 10.75
Hope that helps and have a great day!
Answer:
10.75
Step-by-step explanation: 1.25 times 8.6 is 10.75 so that is the answer.
PLZ HELP FAST
Enter an algebraic expression to model the given context. Give your answer in simplest form. The original price p of an item less a discount of 10%. The algebraic expression is
Answer:
The algebraic expression is 0.90p
Step-by-step explanation:
The presentation of the algebraic expression is shown below:
Let us assume that the original price is p.
So,
The Orginal price is P
and the item would be less a 10% discount
So it could be written as 0.10p
Now the required expression could be written as
p - 0.10 p = 0.90p
Hence the algebraic expression is 0.90p
The same is to be considered
Which fraction is not equivalent to 9/12
Answer:
the second one :)
Step-by-step explanation:
Answer:
16/24
Step-by-step explanation:
Question 9/12 is equivalent to 3/4
15/20 is equivalent to 3/4
24/32 is equivalent to 3/4
6/8 is equivalent to 3/4
But 16/24 is equivalent to 2/3, not 3/4.
Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?
a) 44.3 yd.
b) 63.4 yd.
c) 73.2 yd.
d) 89.7 yd.
Answer:
B. 63.4 yards.
Step-by-step explanation:
who ever answers first i will give brainily!!!!
Answer:
85
Step-by-step explanation:
Answer:
30$*3=90$ - its the answer
Step-by-step explanation:
To get the answer we can first divide 60 by 2 to see how much cost 5 burgers. Then we have to multiply that result times 3 to get the answer.
60:2=30$ ----- 5 burgers.
30$*3=90$ - its the answer
Help please I need the answer ASAP
Answer:
j
Step-by-step explanation:
I’ll mark brainliest
Answer:
i think $23.40
Step-by-step explanation:
if she used it for 20 mins then that would be 0.08*20=1.60
25-1.60=23.40
hope this helps :3
sorry if im wrong
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
---------------------------------------------------------
3.5
---------------------------------------------------------
.60 is what percent of 180?
Answer:
1.08
Step-by-step explanation:
.60% *180=108
108/100=1.08%
Answer:
108
Step-by-step explanation:
Lesson 4 Solving One Variable Equation
2. What value makes the equation 3b + 15 = – 26 – 20 true?
Answer:
b = -³¹⁄₃
Step-by-step explanation:
We can solve this Algebra equation by separating the variable and constants.
3b + 15 = -26 - 20
3b + 15 = -46
3b = -31
b = -³¹⁄₃
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>
34555555555555555555555555555555555555
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
alternate interior angles
Step-by-step explanation:
I know for sure that this is one of the answers to your question sorry i didnt get to help more
Answer:
alternate interior angles
Step-by-step explanation:
Find slope : (7,17) (9,1)
Answer:
7/17 and 1/9 0r 9/1
Step-by-step explanation:
Answer: m= -8
Step-by-step explanation:
m = 1-17
9-7
m = -16/2 = -8
m=-8
what is the answer. one smaller cube labeled with fish food with dimensions of one-quarters feet on each side. Larger cube labeled shipping box with dimensions of length 3 and three-fourths feet; width of 3 feet; the height of 3 and one-quarter feet. times 1/4
Charlie has two guppies, Milly and Billy. Milly measures 1.71 centimeters and Billy measures 2.58 centimeters. How much larger is Billy than Milly?
Question 2 options:
1.89 cm
4.4118 cm
4.29 cm
0.87 cm
Answer:
0.87
Step-by-step explanation:
Find the prime factorization of the number 8.
Answer:
For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.
Step-by-step explanation:
Very intresting hope this helps
Instructions: Rewrite the equation in proper Standard Form.
Equation: 1/4x-3/4y=-3
Standard Form:
Check
The lines y = 3x + 4 and y = 3x - 17 are perpendicular
Answer: No
Step-by-step explanation: Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).
How can you represent a rate with 100 as the whole?
Please need help
Answer:
How to Calculate a Rate. "Rate" simply means the number of things per some other number, usually 100 or 1,000 or some other multiple of 10. A percentage is a rate per 100. Infant mortality rates are calculated per 1,000.
Step-by-step explanation:
What values of B make the equation 7+4-2-B=13-9 true?
Answer:
B=5
Step-by-step explanation:
7+4-2-B=13-9
9-B=4
-B=-5
B=5
If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?
Answer:
Step-by-step explanation:
In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false
Answer:
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
Step-by-step explanation:
Solution:
In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.
The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.
The F test for overall significance has two hypotheses:
1- Null hypothesis:
The fit of the intercept only model and your model are equal.
2- Alternative hypothesis:
The fit of the intercept-only model is significantly reduced compared to your model.
Compare p-value for the F test,
If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.
Write the sentence as an inequality.
A number b divided by -14 is less than -25.
Answer:
b ÷ -14 < -25
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
times 6
An elevator descends at a constant speed. What is the
change in elevation after 19 seconds?
Time
(Sec.)
1
6
10
12
Elevator Descent
Change in Elevation
(Meters)
-2.25
- 13.5
-22.5
- 27
Answer:
-42.75 meters
Step-by-step explanation:
Area model for 925÷25=c
What is the slope of the line that passes through the points (−3, 1) and (1, −5) ? 1/2 −2/3 −3/2
Answer:
-3/2
Step-by-step explanation:
:)
Answer:
The answer is -3/2
Step-by-step explanation:
I took the test.
Have a great day!!
