Answer:
Step-by-step explanation:
[tex]l=w+4[/tex]
[tex]A=l*w\\l=w+4\\A=(w+4)w\\A=w^2+4w[/tex]
[tex]P=2l+2w\\A=4p-4\\A=4(2l+2w)-4\\A=8l+8w-4\\l=w+4\\A=8(w+4)+8w-4\\A=8w+32+8w-4\\A=16w+28[/tex]
[tex]16w+28=A=w^2+4w\\16w+28=w^2+4w\\w^2-12w-28=0\\w^2-14w+2w-28=0\\(w^2-14w)+(2w-28)=0\\w(w-14)+2(w-14)=0\\w+2=0=w-14\\w=-2and14[/tex]
Since w represents a measurement of a physical object in inches, it cannot be negative. So, [tex]w\neq-2[/tex]. The width of the rectangle is 14 inches.
The length is given as 4 inches more than the width, so the length is 18 inches.
This satisfies all the requirements of the question:
[tex]4P-4=A\\P=2(18)+2(14)=64in\\4P=64in(4)=256in\\A=18in*14in=252in^2\\256-4=252\\252=252[/tex]
Ruben is baking desserts for a potluck. At least 31 servings of dessert will be required. For every batch of brownies he bakes, he will get 24 servings, and every pie will yield 7 servings.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
The inequality in standard form that describes the situation is 24x + 7y ≥ 31
Total number of required serving of dessert = 31
Number of serving he will get in every batch of brownies = 24 servings
Number of serving he will get in every batch of pie = 7 serving
Consider the number batch of brownies = x
Number of batch of pie = y
The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign. The inequality will be less than, less than or equal, greater than, greater than or equal.
Then the inequality will be
24x + 7y ≥ 31
Hence, the inequality in standard form that describes the situation is 24x + 7y ≥ 31
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In a school, the ratio of books to computers is 3:7. If the school has 210 computers, how many books are In the school
Answer:
90 books
Step-by-step explanation:
B:C
3:7
X:210
210÷7=30
3*30=90
Can you please help me out
Second graph is correctly shows the solution set for the inequality x >n
How did you graph the inequality's solution set?To graph the solution set of a two-variable inequality, draw the border first, either as a solid or dashed line depending on the inequality. Use a dashed line as the boundary in the case of a strict inequality. Use a solid line if the inequality is inclusive. Next, pick a test location that is not a border.To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't include equal to (> .To learn more about inequality refer to:
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f(x) = 2x² -
-x-1
(a) Is the point (-2,9) on the graph of f?
(b) If x=2, what is f(x)? What point is on the graph of f?
(c) If f(x) = -1, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
Step-by-step explanation:
a. Plug in -2 for x and 9 for f(x)
[tex]9 = 2( - 2) {}^{2} - ( - 2) - 1[/tex]
[tex]9 = 8 + 2 - 1[/tex]
[tex]9 = 9[/tex]
Yes, the point is on the graph.
Plug in 2 for x and solve for y.
[tex]2(2) {}^{2} - 2 - 1 = 5[/tex]
The points on there is (2,5)
c. Plug in -1 for y, solve for x.
[tex] - 1 = 2 {x}^{2} - x - 1[/tex]
[tex]0 = 2 {x}^{2} - x[/tex]
[tex]0 = x(2x - 1)[/tex]
[tex]x = 0[/tex]
[tex]0 = 2x - 1[/tex]
[tex]x = \frac{1}{2} [/tex]
The points on the graph are (1/2,-1) and (0,-1)
d. The domain of any quadratic is all real numbers or (-oo, oo)
e.
[tex]2 {x}^{2} - x - 1 = 0[/tex]
[tex]2 {x}^{2} - 2x + x - 1 = 0[/tex]
[tex]2x(x - 1) + 1(x - 1) = 0[/tex]
[tex](2x + 1)(x - 1) = 0[/tex]
[tex]x = - \frac{1}{2} [/tex]
[tex]x = 1[/tex]
The x intercepts are -0.5,1
The y intercepts are -1
helppppppppppppppppppppppp
Answer:
-1,2
Step-by-step explanation:
I know this because to find the zeros of a function we look at when y is zero
Hopes this helps please mark brainliest
Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
Convert 176 pt to qt
Converting 176 Pints will give 88 Quarts
What is conversion?A conversion factor is a number used to change one set of units to another, by multiplying or dividing
What is a pint?The pint (symbol: pt.) is a unit of volume or capacity. One liquid pint is equal to 473.176473 milliliters (≈ 473 ml).
What is a Quart?The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.
To convert 176 Pints to the corresponding value in Quarts,
Multiply the quantity in Pints by 0.5 (conversion factor).
In this case we should multiply 176 Pints by 0.5 to get the equivalent result in Quarts:
176 Pints x 0.5 = 88 Quarts
Hence,176 Pints when converted is 88 Quarts.
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tim drives at an average speed of 300km per hour for 3 hours and 45 minutes
In 3 hours and 45 minutes, at the speed of 300 km per hour, the distance covered by Tim is 1125 km.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The average speed of Tim = 300 km per hour,
And time of driving = 3 hours and 45 minuter = 3³/₄ hours
To find distance covered by Tim, use formula Distance = Speed×Time,
Distance = 300× 3³/₄
= 300×15/4
= 4500/4
= 1125
The distance covered by Tim in 3 hours and 45 minutes is 1125 km,
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Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
[tex]C(x)=500+1.25x[/tex]
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
[tex]R(x)=3.50x[/tex]
How many meters are in 214 cm
Which one is for b and c ?
The number of students in Mr Hassan's class is 33 and I assumed that each small square in the graph is 0.5 unit and that there are 10 small squares.
What is a bar chart?A bar chart displays information (data) by using rectangular bars of different heights.
A bar chart has a vertical axis with numbers on it, and a horizontal axis showing values of something that has been investigated.
from the graph, since each small square represent 0.5 unit, number of student that sored 1 mark = 3
number of student that scored 2 marks = 5
number of student that scored 4 marks = 2
number of student that scored 5 marks = 6
number of student that scored 8 marks = 12
number of student that scored 9 marks = 1
number of student that scored 4 marks = 4
Total number of students = 3 + 5+ 2+ 6 + 12 + 1 + 4 which is 33.
I assumed each small square to be 0.5
In conclusion the total number of student is 33
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Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks (w) has he been depositing money?
Part B? Question
The total resistance in a circuit with two parallel resistors is 2 ohms and $R_1$ is 6 ohms. Using the equation for R₂, in terms of Rt and R₁, what is R₂ ?
R₂ is ohms.
Answer:
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, R T is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
What's the equation of a line that passes through points (–1, –5) and (1, 3)? Question 20 options: y = –x + 4 y = 4x – 1 y = 1 4 x – 2 y = –2x
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +5}{1 +1} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-1)}) \implies y +5 = 4 ( x +1) \\\\\\ y+5=4x+4\implies {\Large \begin{array}{llll} y=4x-1 \end{array}}[/tex]
Cameron estimates that the math class will sell 200 calendars . What will that total income be?
Answer:
How much Is Cameron receiving from each calendar?
Step-by-step explanation:
which of the following is an example of a nonprobability sample?
A. cluster sampling.
B. simple random sampling.
C. stratified random sampling.
D. judgment sampling
Judgement sampling is not a probability sampling technique
Probability SamplingProbability sampling is a technique in which the researcher chooses samples from a larger population using a method based on probability theory. For a participant to be considered as a probability sample, he/she must be selected using a random selection.
The most critical requirement of probability sampling is that everyone in your population has a known and equal chance of getting selected.
1. Simple random sampling, as the name suggests, is an entirely random method of selecting the sample. This sampling method is as easy as assigning numbers to the individuals (sample) and then randomly choosing from those numbers through an automated process. Finally, the numbers that are chosen are the members that are included in the sample.
2. Stratified random sampling involves a method where the researcher divides a more extensive population into smaller groups that usually don’t overlap but represent the entire population. While sampling, organize these groups and then draw a sample from each group separately.
3. Random cluster sampling is a way to select participants randomly that are spread out geographically. For example, if you wanted to choose 100 participants from the entire population of the U.S., it is likely impossible to get a complete list of everyone. Instead, the researcher randomly selects areas (i.e., cities or counties) and randomly selects from within those boundaries.
From the above explanation, cluster sampling, simple random sampling and stratified random sampling are types of probability sampling except for judgement sampling.
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Graph the linear equation.
y=5
The current of a river is 3 miles per hour. A boat travels to a point 20 miles upstream and back in 5 hours. What is the speed of the boat in still water?
The speed of the boat in still water is 1miles per hour or 7miles per hour
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula for speed = Distance /time
For upstream movement ,the boat will move against the velocity of the current and in down stream the boat will move with the velocity of the current.
Therefore speed of the boat in downward movement is (S+3) and the speed of the boat during upward movement is (S-3)
The general formula for speed= d/t
(S+3)= 20/5=4
or
(S-3)= 20/5= 4
Therefore, the speed of the boat in still water is
S= 4-3=1mile/hour
or
S= 4+3= 7miles/hour
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5)
What is the mean of 14, 7, 10 and 5?
Answer:
9
Step-by-step explanation:
mean is the same as average
To find the mean we add them all and divide by the amount of terms which in this case is 4
14+7+10+5
21+15
36
36/4
9
Hopes this helps please mark brainliest
How many terms are in this expression? 5x + y - 3x - 8 + 2
Answer:
There are 3 terms
Step-by-step explanation:
Given expression,
→ 5x + y - 3x - 8 + 2
Let's simplify the expression,
→ 5x + y - 3x - 8 + 2
→ (5x - 3x) + y + (-8 + 2)
→ 2x + y - 6
The number of terms are,
→ 2x + y - 6
→ 3 terms (trinomial)
Hence, there are 3 terms.
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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Please help!!!!!!!!!!!
Answer & Step-by-step explanation:
This question is just a matter of reading the graph correctly. The question is basically asking us how much each color (or the education level) is taking up in the whole bar. So, you just subtract where the color ends from where the color starts.
1997 age 65 or older
Bachelor's degree or higher: 100 - 75 = 25%
College/associate's degree: 75 - 54 = 21%
High school graduates: 54 - 21 = 33%
Less than a high school diploma: 21 - 0 = 21%
Total: 25+21+33+21 = 100%
2007 age 65 or older
Bachelor's degree or higher: 100 - 69 = 31%
College/associate's degree: 69 - 46 = 23%
High school graduates: 46 - 13 = 33%
Less than a high school diploma: 13 - 0 = 13%
Total: 31+23+33+13 = 100%
Hope this helps :)
What is the value of the product (3 – 21)(3 + 2)?
5
9 + 4
9 - 41
13
Answer: -90
Step-by-step explanation:
Correct answer is not shown in the choices?
FOIL method: 9 + 6 - 63 - 42 = -90
Easy method: (-18)(5) = -90
I need help asap thank you...
Answer:
Angles 2 and 4 are 107.
Angles 1 and 3 are 73
Step-by-step explanation:
Angle 4 is given. Angle 2 is the same because vertical angles are congruent.
Angles 1 and 3 are supplemental. They add up to 180 (180 - 107 = 73)
The table shows a proportional relationship between x and y.
x 3.4 5.6 1.7
y 13.6 22.4 6.8
Which of the following correctly describes the graph of the relationship?
A line that goes through (0, 0) and (13.6, 3.4)
A line that goes through (0, 0) and (3.4, 13.6)
A line that goes through (3.4, 13.6) and (22.4, 5.6)
A line that goes through (13.6, 3.4) and (5.6, 22.4)
Answer:
(b) A line that goes through (0, 0) and (3.4, 13.6)
Step-by-step explanation:
You want a description of the line that describes the same proportional relationship as the points given in the table:
(x, y) = (3.4, 13.6), (5.6, 22.4), (1.7, 6.8)
Proportional relationThe graph of the relation will be a straight line through points with (x, y) values from the table. A graph of a proportional relation also goes through the point (0, 0).
Of the points listed in the answer choices, only (3.4, 13.6) and (5.6, 22.4) are ones that are given in the table. This eliminates all of the answer choices except the correct one:
A line that goes through (0, 0) and (3.4, 13.6).
Hurry please Lily does screen-printing. When she screen-prints T-shirts, each shirt takes 3 minutes to print. In addition, there is an initial set-up time of 15 minutes.
Write and equation that shows how the number of minutes required to screen-print a batch of shirts, y , depends on the number of shirts in the batch, X.
The number of minutes required to screen-print a batch of shirts is,
y = 3x + 15
From the question, we have
each shirt takes 3 minutes to print.
In addition, there is an initial set-up time of 15 minutes.
number of minutes required to screen-print a batch of shirts,
y = 3x + 15
Addition:
Combining two or more things is what is meant by addition. The process of computing the sum of two or more numbers is known as adding in mathematics. It's a fundamental mathematical operation that's used all the time in real life. When handling money, determining our food budget, or calculating the passage of time, we frequently use addition. When dealing with larger numbers, however, we separate the numbers into columns according to their corresponding place values, such as ones, tens, hundreds, thousands, and so on. For straightforward addition problems, one-digit numbers can be added.
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PLEASE HELP ME ASAP DUE VERY SOON AND I HAVE NO CLUE :(((
Answer:
20-29 songs
Step-by-step explanation:
Artists with 20-29 songs had the highest total number of people in the crowd.
Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y
Step-by-step explanation:
Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y
8y + 9y - 9 + 4y
21y - 9
Seth mowed his neighbor's lawn m times. He earned 15 dollars each time. Choose the expression that shows how many dollars Seth earned.
The expression that shows how many dollars Seth earned is 15m.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Since Seth mowed his neighbor's lawn m times and earned 15 dollars each time.
The amount made will be:
= Cost for each mowing × Number of times
= 15 × m
= 15m
The expression is 15m.
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Answer:
15m
Step-by-step explanation:
