Answer: 9 feet
Step-by-step explanation:
From the information given, we have already been given the equation which is x(x-3)=54. Therefore we will find the value of x which will be:
x(x-3)=54
x² - 3x - 54
x² - 9x + 6x - 54
x(x - 9) + 6(x - 9)
Therefore,
(x - 9) = 0
x = 0 + 9
x = 9
The length is 9 feet
The width will be:
x - 3 = 9 - 3 = 6 feet
mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door . how many quarts does she have in all of her own .
Answer:
Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.
Step-by-step explanation:
Since Mrs. Cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own, and she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door, to determine how many quarts does she have in all of her own must perform the following calculation:
1/4 = 0.25
1/2 = 0.5
3/8 = 0.375
0.25 + 0.5 + 0.375 = X
1.125 = X
1 + 1,125 = 2,125
Therefore, Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.
Find the slope of the line containing the pair of points.
(-3,1) and (1, - 11)
Answer:
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
x2 = -3
x1 = 1
y2 = 1
y1 = - 11
slope = (1 - - 11) / (-3 - 1)
slope = 12 / - 4
slope = - 3
what the mining of althoe
[tex]y \geqslant 3[/tex]
The question isn't well stated ; If the question intends to ask the meaning of the inequality :
Answer:
Kindly check explanation
Step-by-step explanation:
Given the inequality : y ≥ 3
This inequality statement or expression means that :
y is true for all values beginning from 3 and beyond
That is values from 3 makes the expression a true statement.
Therefore values of y for which the inequality holds or is true are :
(3,....)
What is the equation of the line graphed below?
5
- 5
5
(3,-1)
1
-5
O A. y=-3x
1
O B. y = -
O c. y =
C. 5
-X
What is the equation of the line graphed below
Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7
Answer:
[tex](x,y) = (-3,2)[/tex] is a solution
Step-by-step explanation:
Given
[tex]y \le -4x + 3[/tex]
[tex]x + 8y \ge 7[/tex]
Required
Determine if [tex](x,y) = (-3,2)[/tex] is a solution
[tex]y \le -4x + 3[/tex] becomes
[tex]2 \le -4 * -3 + 3[/tex]
[tex]2 \le 15[/tex] --- this is true
[tex]x + 8y \ge 7[/tex]
[tex]-3+ 8 * 2 \ge 7[/tex]
[tex]13 \ge 7[/tex] --- this is also true
Hence,
[tex](x,y) = (-3,2)[/tex] is a solution
Help is needed for this area answer
Answer:
So im pretty sure it is just adding each side
Step-by-step explanation:
Add 10 + 5 + 3 + 5 + 7
Iceberg lettuce is grown and shipped to stores for about 40 cents a head, and consumers purchase it for about 92 cents a head. Find the percent increase.
Answer: 130%
Step-by-step explanation:
percent increase = x[tex]40 + 40(x) = 9240\\40(1 + x) = 92\\1+x=\frac{92}{40} \\x=\frac{92}{40} -1=2.3-1=1.3[/tex]
x = 1.3 = 130%
Complete the information for that object by making estimates using appropriate units of measurement of the dimensions and by getting the actual measurements using an appropriate measuring instrument.
Answer:
hlo how are u?whats ur day is going
Study the table representing the price of different amounts of apples, in pounds, and then complete the sentences. The constant difference in the y-values is . The linear function is .
Answer: the first part is 1.25. The second part is y=1.25x
Step-by-step explanation: edge 2021
Evaluate these questions 27(1/3)2
Answer:
18
Step-by-step explanation:
1/3 of 27 is 9. 9 times 2 is 18.
Carlos has an aquarium which is 45 cm long, 32 cm wide, and 35 cm high. How much water can the aquarium hold?
Answer:
volume =l×b×h
45cm×32cm×35cm=48,960cm³
Find the distance between the points (-5, -4) and (3, 1).
On a coordinate plane, points are at (3, 1), (negative 5, negative 4).
Step-by-step explanation:
it will help u
Find the numerical value of each expression. (Round your answers to five decimal places.) (a) sinh(ln(5)) (b) sinh(5)
sinh(ln(4)) = (exp(ln(4)) - exp(-ln(4)))/2 = (4 - 1/4)/2 = 15/8 = 1.875
sinh(4) = (exp(4) - exp(-4))/2 ≈ 27.28992
Value of the expression in which each variable was swapped out with a number from its corresponding domain sinh (l5)
How do you determine an expression's numerical value?sinh (5)
=sinh(1.6094) =2.39990 rad
=sinh(1.6094) =2.3
By doing the following, you may determine the numerical value of an algebraic expression: Replace each variable with the specified number. Then, enter your score in your team's table.
Analyze expressions that are linear.Multi-variable expressions should be evaluated.Analyze expressions that are not linear.Value of the expression in which each variable was swapped out with a number from its corresponding domain. In the case of a number with only one digit, referring to the numerical value associated with a digit by its "value" is a convenient shorthand.
To learn more about Value of the expression refer to:
https://brainly.com/question/13961297
#SPJ2
Explain the difference between a rate, a ratio, and a proportion?
Answer:
A proportion is an equality of two ratios.
Example : [tex]\frac{1}{3}[/tex] = [tex]\frac{x}{9}[/tex]
We write proportions to help us find equivalent ratios and solve for unknown quantities.
A rate is the quotient of a ratio where the quantities have different units.
Example : [tex]\frac{distance}{time}[/tex]
A ratio is a comparison of two quantities.
Example : 1 : 3 or [tex]\frac{1}{3}[/tex]
Round 100.9052 to the nearest hundredths
To find the quotient of 8 divided by one-third, multiply 8 by
O One-eighth
O One-third
O 3
O 8
Answer:
3
Step-by-step explanation:
Skip,Flip,Multiply Method
[tex] \frac{8}{ \frac{1}{3} } = \frac{8}{1} \times 3 = 24[/tex]
Answer:
3
Step-by-step explanation:
The diagram below is divided into equal parts. Which fraction of the parts is white?
A diagram is divided into 4 blue parts and 3 white parts.
Three-sevenths
Four-sevenths
Three-fourths
Four-thirds
Answer: This problem is a fraction since we have several equal parts that make up one whole. The problem asks us to talk about the relationship of white pieces to the whole. Since we know the whole is made up of 7 pieces (4 blue parts and 3 white parts = 7 total parts), then 7 will be our denominator (number on the bottom of the fraction).
Now that we have our number on the bottom, we need to look back at the question to carefully decide what parts of the whole we are looking at. The question wants to know how many of the parts are white. We know that 3 of the parts are white, so that is our numerator (number of the top of the fraction).
Our final answer is 3/7 or "three-sevenths." Said another way, three of the seven pieces are white.
Step-by-step explanation:
Help asap! Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
Help please. Need to get this right to get 100%
Answer:
Step-by-step explanation:
[tex]f(x) = \frac{4}{x}\\\\f(a) = \frac{4}{a}\\\\f(a+h) = \frac{4}{a+h}\\\\\frac{f(a+h) - f(a)}{h} = \frac{\frac{4}{a+h} - \frac{4}{a}}{h}[/tex]
[tex]=\frac{\frac{4(a)}{(a+h)a} - \frac{4(a+h)}{a(a+h)}}{h}\\\\=\frac{\frac{4a - 4a - 4h}{a(a+h)}}{h}\\\\=\frac{\frac{ - 4h}{a(a+h)}}{h}\\\\= \frac{-4h}{a(a+h) \times h}\\\\= -\frac{4}{a(a+h)}\\\\[/tex]
What equation can I use to pick numbers 1-70 if they're picked randomly
9514 1404 393
Answer:
you cannot use an equation to pick random numbers
Step-by-step explanation:
"Picked randomly" and "using an equation" are mutually exclusive. A random number cannot be predicted, so an equation cannot be used to generate it.
That being said, many programming languages make use of a "linear congruential generator" for generating random numbers. Such a generator generates a next number (x') from a previous number (x) using the equation ...
x' = (a·x +c) mod m
Numbers generated in this way are called "pseudo-random numbers." The sequence of generated numbers will repeat at some point, and the statistics of generated numbers may or may not be suitable for any given application. (For example, sequential numbers may tend to be correlated.) The distribution of numbers is inherently uniform, so if you need other distribution, you need to perform some math on what you get from a linear congruential generator. Methods are available for approximating about any kind of distribution you might want.
This is not the only "equation" that can be used, and is certainly not the best.
__
A variety of different values of a, c, m are used in generators of this type. Some are better than others at producing what looks like randomness. Here's a set of numbers you can try: (no claim is made regarding suitability for your purpose)
a = 1140671485c = 12820163m = 2^24 = 16777216This will produce numbers in the range 0–16777215. To get numbers in the range of 1-70, you can map these to your range in any suitable fashion. For example, you could add 1 to the integer part of the result from division by 239675.
Below is a graph of the sorted output of 200 values in the range 1–70 from the generator described here. You can see the distribution is approximately linear, and that some values are missing while others show up more often than average. (You expect this with random numbers.) The seed for these numbers (first value of x) is 1337457.
__
There is a web site available that will produce random numbers to your specification, based on the background noise of the universe. They are truly random.
Please help me i will give you brainlest
Answer:
a speaker receive credibility is a combination of competence trustworthiness and caring
A given population proportion is .25. What is the probability of getting each of the following sample proportions
This question is incomplete, the complete question is;
A given population proportion is .25. What is the probability of getting each of the following sample proportions
a) n = 110 and = p^ ≤ 0.21, prob = ?
b) n = 33 and p^ > 0.24, prob = ?
Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)
Answer:
a) the probability of getting the sample proportion is 0.1660
b) the probability of getting the sample proportion is 0.5517
Step-by-step explanation:
Given the data in the questions
a)
population proportion = 0.25
q = 1 - p = 1 - 0.25 = 0.75
sample size n = 110
mean = μ = 0.25
S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413
Now, P( p^ ≤ 0.21 )
= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)
= P[ Z < ( 0.21 - 0.25 ) / 0.0413)
= P[ Z < -0.04 / 0.0413]
= P[ Z < -0.97 ]
from z-score table
P( X ≤ 0.21 ) = 0.1660
Therefore, the probability of getting the sample proportion is 0.1660
b)
population proportion = 0.25
q = 1 - p = 1 - 0.25 = 0.75
sample size n = 33
mean = μ = 0.25
S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754
Now, P( p^ > 0.24 )
= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)
= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )
= P[ Z > -0.01 / 0.0754 ]
= P[ Z > -0.13 ]
= 1 - P[ Z < -0.13 ]
from z-score table
{P[ Z < -0.13 ] = 0.4483}
1 - 0.4483
P( p^ > 0.24 ) = 0.5517
Therefore, the probability of getting the sample proportion is 0.5517
Help Me ASAP this is the last day of Summer School
Answer:
22.2222%
Step-by-step explanation:
total amout of owners all around is 90 and Dal. Owners is 20 so divide 20 by 90.
Step-by-step explanation:
[tex]percentage= \frac{20}{25 + 20 + 15 + 30} \times 100 \\ = \frac{2}{9} \times 100\% \\ = 22.2\%[/tex]
The catch-up effect says that low-income countries can grow faster
higher income countries. However, in statistical studies covering many countries
differences, we do not observe the catch-up effect unless we control for the
other variables affecting productivity. Consider the factors that determine productivity, list and solve
I like the reasons why a poor country can't keep up with rich countries.
worldwide markets are already established with bis stakeholders like McD, Appe, MS, Aldi Car Manufacturers etc.
so seeing a big corporation emerging from an underdeveloped country would be kind of a suprising thing to happen.
also, economically developed countries are likely to have stable trade relationships with other countries. giving them an edge over outsiders.
Already existing infrastructure might also be a concern to keep in mind when planning your business. It's nice to have mobility, internet, electricity, water at you tap.
I guess there could even be some kind of language barrier for many countries with an insufficient educational system. that might hinder individuals to participate in the global market and community.
The farmer is buying fence panels.
He needs a total length of 200 m of fence panels.
Each fence panel is 2.5 m in length.
Work out how many fence panels the farmer will need to buy?
Answer:
80 panels
Step-by-step explanation
According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
A. It will increase by 7%.
B. It will decrease by 7%.
C. It will decrease by 1%.
D. It will increase by 1%.
Answer:
D. It will increase by 1%.
Step-by-step explanation:
Given
[tex]u_1 = 5\%[/tex] --- initial rate
[tex]u_2 = 3\%[/tex] --- final rate
Required
The effect on the GDP
To calculate this, we make use of:
[tex]\frac{\triangle Y}{Y} = u_1 - 2\triangle u[/tex]
This gives:
[tex]\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)[/tex]
[tex]\frac{\triangle Y}{Y} = 5\% - 2(2\%)[/tex]
[tex]\frac{\triangle Y}{Y} = 5\% - 4\%[/tex]
[tex]\frac{\triangle Y}{Y} = 1\%[/tex]
This implies that the GDP will increase by 1%
Answer: A. It will increase by 7%.
Step-by-step explanation: I took this course!
Please help solve this problem.
Answer:
Ang hirap naman niyan bakit kaya lahat na module mahirap
someone help me translate this word phrase into a mathematical expression xd .. pleash help :3
15 multiplied by -9 first, then 7 subtracted from that total
Answer:
15 multiplied by -9 first, then 7 subtracted from that total{15(-9)}-7hope it helps...stay safe healthy and happy.Answer:
15x(-9)-7
Step-by-step explanation:
it has been translated
6. Aerial photography is to be taken of a tract of land that is 8 x 8 mi2. Flying height will be 4000 ft above average terrain, and the camera has focal length of 6 inches. If the focal plane opening is 9 x 9 in., and minimum side overlap is 30%, how many flight lines will be needed to cover the tract for the given data
Answer:
the number of flight lines needed is approximately 72
Step-by-step explanation:
Given the data in the question;
Aerial photography is to be taken of a tract of land that is 8 x 8 mi²
L × B = 8 x 8 mi²
Flying height H = 4000 ft = ( 4000 × 12 )inches = 48000 in
focal length f = 6 in
[tex]l[/tex] × b = 9 × 9 in²
side overlap = 30% = 0.3
meaning remaining side overlap = 100% - 30% = 70% = 0.7
{ not end to end overlap }
we take 100% { remaining overlap }
[tex]l[/tex]' = 9 × 100% = 9 in
b' = 9 × 70% = 6.3 in
Now the scale will be;
Scale = f/H
we substitute
Scale = 6 in / 48000 in = 1 / 8000
so our scale is; 1 : 8000
⇒ 1 in = 8000 in
⇒ 1 in = (8000 / 63360)mi
⇒ 1 in = 0.126 mi
so since
L × B = 8 x 8 mi²
[tex]l[/tex]' = ( 9 × 0.126 mi ) = 1.134 mi
b' = ( 6.3 × 0.126 mi ) = 0.7938 mi
Now we get the flight lines;
N = ( L × B ) / ( [tex]l[/tex]' × b' )
we substitute
N = ( 8 mi × 8 mi ) / ( 1.134 mi × 0.7938 mi )
N = 64 / 0.9001692
N = 71.0977 ≈ 72
Therefore, the number of flight lines needed is approximately 72
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Slope = 2
Step-by-step explanation:
To find the slope of the line, you need to plot two points
My own two points will be: [tex](1,2)[/tex] and [tex](2,4)[/tex]
Now use the Slope-Formula to identify the slope of the line
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-2}{2-1}[/tex]
[tex]m=\frac{2}{1}[/tex]
[tex]m=2[/tex]
so the slope of the line in simplest form will be 2.