Answer:
w² + 4w - 525 = 0
Width of rectangle = 21 feet
Length of rectangle = 25 feet
Step-by-step explanation:
Given:
Area of rectangular floor = 525 ft²
Find:
Equation
Dimensions of the floor
Computation:
Assume;
Width of rectangle = w feet
So,
Length of rectangle = w + 4 feet
Area of rectangular floor = length x width
Area of rectangular floor = w(w + 4)
525 = w² + 4w
w² + 4w - 525 = 0
w² + (25 - 21)w - 525 = 0
w² + 25w - 21w - 525 = 0
w(w + 25) -21(w + 25)
(w + 25)(w - 21)
So,
w = -25 , w = 21
So,
Width of rectangle = 21 feet
Length of rectangle = w + 4 feet
Length of rectangle = 21 + 4 feet
Length of rectangle = 25 feet
What is the constant of proportionality
will choose braij
The constant proportion of the following data is 5.
The constant proportion of the following data is 5.Thank hope it helpsIs (9,-5) a solution to the inequality y < -1/3x -2?
yes
no
Answer:
No
Step-by-step explanation:
[tex]y<-\frac{1}{3} x-2[/tex]
put in 9 for x
y<-\frac{1}{3} 9-2
y<-3 -2
y<-5
then put in -5 for y
-5<-5
Since they are the same number that makes the equation impossible
Hope that helps :)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.
This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit
and x is the shirt price,
p < -15x2 + 6003 + 60
P5,000
Complete the statements about the system's possible solutions.
When the price of the shirt is $15, the company
When the price of the shirt is $25, the company
its profit goals.
its profit goals.
Reset
Next
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
What is the profit goal?The profit goal is met when the price of a good or service exceeds the costs of its production and sales.
At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.
Thus, we can conclude that:
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843
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An official for a national dog show studies the characteristics of one breed of dog, the Dandie Dinmont Terrier. Two common measurements are the height and weight of the dog, and the official would like to develop a model that would be helpful in predicting weight based on a given height. The official first makes a scatterplot that relates height and weight, then another that compares the logs of each measurement.
A graph titled Dandie Dinmont Terrier height versus weight has height (inches) on the x-axis, and weight (pounds) on the y-axis. The points curve up.
A graph titled Dandie Dinmont Terrier log height versus log weight has log (height) on the x-axis, and log (weight) on the y-axis. The points curve up.
Based on the graphs, which type of model is likely appropriate for predicting weight from height?
A linear model is appropriate because the graph of the transformed data is roughly linear.
A power model is appropriate because the scatterplot of height versus weight appears curved.
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. Therefore, option C is the correct answer.
Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
Therefore, option C is the correct answer.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ1
In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute
Answer:
[tex]P(x \le 1)= 0.9093[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 2.4[/tex] -- mean
Required
Determine [tex]P(x \le 1)[/tex]
This is calculated using:
[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]
So:
[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]
[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]
[tex]P(x \le 1)= 1 - 0.0907[/tex]
[tex]P(x \le 1)= 0.9093[/tex]
Help me out I’ll give a stars real answers only.
Answer:
Step-by-step explanation:
Currently, on average, people live 5 years after they retire.
Answer: Thats cool.
Step-by-step explanation:
Kim and Courtney share a 16oz box of cereal. By the end of the week, Kim has eaten 3/8 of the box and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?
Answer:
3/8 of the box is left.
Step-by-step explanation:
Answer:
3/8 is left over
Step-by-step explanation:
First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8
Next add 3/8 and 2/8 which equals 5/8
Finally, we need to subtract 5/8 from 8/8 to get 3/8
Hope this helped!!
Show all work to factor x4 − 10x2 + 9 completely.
Answer:
(x+3)(x-3)(x+1)(x-1)
Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9
HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE
Answer:
The answer is false. 2 is not congruent to 5.
Honestly, someone has a different answer but they have a whole paragraph so I think you should listen to what they say.
Answer:
True
Step-by-step explanation:
Same-side exterior angle converse theorem states that if two lines are intersected by a transversal and the same-side exterior angle are congruent, then the two lines are parallel. One can apply this theorem to the given case, and thus lines A and B are parallel.
I need help on my trig can someone help me on the question please and thank you
Answer:
210 degrees
Step-by-step explanation:
Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.
Solve for x in -14x⁴ - 8x³ = 32
Answer:
No solutions
Step-by-step explanation:
There can be no solutions to your question
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!
An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.
A. What is the probability of getting a head and an even number?
B .What is the probability of getting a tail and the number 4?
D .What is the probability of getting a 5?
Answer:
Step-by-step explanation:
1. 1/2
2. 1/4
3. 1/8
A number than can be written as a ratio
of two integers a and b, where b is not
zero
Answer:
rational number
Step-by-step explanation:
What can you say about
3/2 inches of snow fell in 3/4 of an hour. Which two statements are correct?
Answer:
A and E
Step-by-step explanation:
What is the remainder of (x4 - 2x2 + x - 3) ÷ (x - 1)
Step-by-step explanation:
First simplify the parentheses. [tex]4x-2x^2+x-3=-2x^2+5x-3[/tex], and [tex]x-1[/tex] can't be simplified, so the equation has now been simplified to [tex]\frac{-2x^2+5x-3}{x-1}[/tex]. The equation can be divided to equal [tex]-2x+3[/tex], so I'm guessing either there is no remainder or the 3 is the remainder.
Hope this helps!
Your client has asked you to evaluate customers attending the games for a professional football team. The stadium is interested in increasing revenue. Based on the regression models and hypothesis tests learned in this topic and external references, discuss the specific type of data that could be collected from fans and used in a multiple regression model for NFL team revenue. Justify your selection by explaining how the data could be collected and why they are important. Be sure to state and refer to your reference.
Answer:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheswe have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Step-by-step explanation:
Aim : The Aim of the stadium is Increasing revenue generated in the stadium and some of the ways to achieve such is by taking specific data as regards the customers/spectators who visit the stadium
The type of data that could be collected from the fans to be used in multiple regression model:
Number of spectators who leave the stadium before 180 minutesThis data would show if spectators only come to the stadium and stay until the end of the game when their favorite teams are playing
Number of customers/spectators attending the last 100 matchesThis data will help the stadium know the current trend ( either increasing of decreasing ) number of the spectators who visit the stadium
How can the data be collected
The data can be collected via the exit time entries at the exit gate of the stadiumhistory of ticket sold over the last 100 matcheshow to apply the data
we have to conduct a hypothesis test assuming that a spectator watches a match for more than 180 minutes with an assumed standard deviation
we can also use regression analysis and line of best fit to check for the trends
Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?
Answer:
y=1 and x = 2
Step-by-step explanation:
Given equations are :
2x-2y = 2 ....(1)
5x+2y= 12 .....(2)
Adding equation (1) and (2),
2x+5x = 2+12
7x = 14
x = 2
Put the value of x in equation (!).
2(2)-2y = 2
4-2y=2
2=2y
y=1
So, the values of x and y are 2 and 1 respectively.
A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento. How many copies should the company ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost
Answer:
Ship : 600 copies from Novato and 400 copies from Lodi to fulfill order at least cost ( $4600 )
Step-by-step explanation:
Order size :
600 Copies of texts from San Francisco and
400 Copies of texts from Sacramento.
Available notes in the company
700 copies of texts in Novato
800 copies of texts in Lodi
Cost of sending copies of texts
Novato to San Francisco = $5
Novato to Sacramento = $10
Lodi to San Francisco = $15
Lodi to Sacramento = $4
considering Novato
700 copies are available hence the the least cost will be
600 * $5 ( to Francisco ) = $3000
considering Lodi
800 copies are available hence the least cost will be
400 * $4 ( to Sacramento ) = $1600
Therefore the least cost = $3000 + $1600 = $4600
True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).
Answer:
TRUE
Step-by-step explanation:
What is the answer please help no links no links please help
Evaluate the expression
y+243.8 when y=79
What is the quotient?
Answer:
4000000000000=4x10^12
Step-by-step explanation:
The first choice is the quotient.
The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?
Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .
sorry I can't delete it this not answer your question
K
Given that m_JKL = 94º, m_KL) = 41°, and the radius of the circle is 10 units, find s, rounded to the nearest hundredth.
units
S=
Reset
Next
tum. All rights reserved.
1
Step-by-step explanation:
angle j + angle JKL + angle KLJ = 180(sum of angles in a triangle)
[tex]j + 94 + 41 = 180 \\ j + 135 = 180 \\ j = 180 - 135 \\ = 45[/tex]
Arc Length s =
given r = 10 units,
[tex] = (\frac{j}{360} ) \times 2\pi \: r \\ = ( \frac{45}{360} ) \times 2\pi(10) \\ = 0.125 \times 20\pi \\ = 2.5\pi \\ = 7.85units(nearest \: hundredth)[/tex]
Answer:
7.85 units
Hope this helped and have a good day :D
Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m
Answer:
The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.
Step-by-step explanation:
Elsie made a one-sample z interval for a proportion and used the critical value 2 = 1.405.
What confidence level did she use?
Choose 1 answer
84%
86%
88%
92%
Answer:
84%
Step-by-step explanation:
Answer:
84%
Step-by-step explanation:
on Khan Academy
help with this question, please
Answer:
12.57 inches
Step-by-step explanation:
the formula is l = x/360 (2 pi r) so you solve from there