Answers
Answer:
39 ft^2
Step-by-step explanation:
area of small rectangle
length = 3 ft
breadth = 1 ft
area of rectangle = l*b
=3*1
=3 ft^2
area of big rectangle
length = 12 ft
breadth = 3 ft
area of rectangle = l*b
=12*3
=36 ft^2
area of the figure = area of small rectangle + area of big rectangle
=3 + 36 ft^2
=39 ft^2
Explanatiin:
Divide shape into 2 rectangles:
Area of upper rectangle;
1 • 3 = 3 ft2
Area of lower rectangle:
3 • 12 = 36 ft2
Add both areas of rectangles:
36 + 3 = 39 ft2
Hope this helps!
Related Questions
Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6
Answers
Answer:
2/12
Step-by-step explanation:
Answer:
C) 2/12
Step-by-step explanation:
You need to convert the fractions to decimals (by dividing the top number by the bottom number).
5/12 = 0.416...
8/12 = 0.666...
2/12 = 0.166...
4/6 = 0.666...
As you can see, 2/12 in decimal form is closer to 0 than the other fractions.
jose has been saving for $9 wach week. today he spent $126 of the savings, and now he has $45 left. fir how long has he been saving
Answers
126 + 45 = 171
171/9 = 9
9 days
One month Ivan rented 8 movies and 3 video games for a total of $43. The next month he rented 2 movies and 5 video games for a total of $32. Find the rental cost for each movie and each video game.
Answers
Given
Let's represent movies with M
Let's represent video with V
\(\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ 2m+5v=32\ldots\text{Equation 2} \end{gathered}\)Solution
Using substitution method
I will solve your system by substitution.
\(\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ \text{Make M the subject of the formula} \\ 8m=43-3v \\ \text{Divide both sides by 8} \\ m=\frac{43-3v}{8}\ldots\text{Equation 3} \end{gathered}\)Substitute for m in Equation 2
\(\begin{gathered} 2(\frac{43-3v}{8})+5v=32 \\ \\ \frac{43-3v}{4}+5v=32 \\ \end{gathered}\)To clear the fraction multiply all through by 4
\(\begin{gathered} \frac{43-3v}{4}\times4+5v\times4=32\times4 \\ \\ \\ 43-3v+20v=128 \end{gathered}\)Separate the similar term
\(\begin{gathered} -3v+20v=128-43 \\ 17v=85 \\ \text{Divide both sides by 17} \\ \frac{17v}{17}=\frac{85}{17} \\ \\ v=5 \end{gathered}\)Substitute for v =5 in equation 3
\(\begin{gathered} m=\frac{43-3v}{8}\ldots\text{Equation 3} \\ m=\frac{43-3(5)}{8} \\ m=\frac{43-15}{8} \\ \\ m=\frac{28}{8} \\ \\ m=\frac{7}{2}=3.5 \end{gathered}\)The rental cost for each movie
\(m=\text{ \$}3.50\)The rental cost for each video game.
\(v=\text{ \$5}\)Greg ran for president of the chess club, and he received 21 votes. There were 60 members in the club. What percentage of the club members voted for Greg?
Answers
21 is 35% of 60.
HAVE A GUD DAY!
Prove each of the following statements using strong induction. a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps. b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps. c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.
Answers
a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.
b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.
c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.
a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.
Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.
Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.
Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.
b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.
Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.
Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.
Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.
c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.
Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.
Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.
Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3
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please help i’ll make brainless
Answers
Answer:
Blank 1: 2
Blank 2: 7
Step-by-step explanation:
We can see that the starting value is 2, and the ratio is 7
with mathematical examples how can statistics be related to real life
Answers
Statistics enables us to analyze data from fields like politics, medicine, finance, manufacturing, and sports, providing insights for decision-making and understanding real-life phenomena.
Statistics plays a crucial role in understanding and interpreting real-life phenomena. It provides a framework for collecting, analyzing, and interpreting data to gain insights and make informed decisions. Here are some examples of how statistics is related to real life:
Opinion Polls: Political parties and organizations conduct opinion polls to gather data on public opinion. By using statistical techniques to analyze the collected data, they can estimate the preferences of the population and make predictions about election outcomes.
Medical Research: Statistics is extensively used in medical research to analyze data from clinical trials. Researchers use statistical methods to determine the effectiveness of new treatments, identify potential side effects, and draw conclusions about the overall health outcomes.
Financial Analysis: In finance, statistical analysis is used to study market trends, assess investment risks, and make predictions about stock prices. Statistical models help investors and analysts make informed decisions by analyzing historical data and identifying patterns.
Quality Control: Industries use statistical methods to ensure the quality of their products. Statistical process control techniques monitor production processes, detect deviations, and make adjustments to maintain consistency and reduce defects.
Sports Analytics: Statistics is widely used in sports to analyze player performance, evaluate team strategies, and predict game outcomes. Metrics like batting averages, shooting percentages, and goal differentials are all derived from statistical analysis.
In summary, statistics is a vital tool in various aspects of real life, including politics, healthcare, finance, manufacturing, and sports. It helps in making evidence-based decisions, identifying trends and patterns, and understanding the underlying factors influencing outcomes.
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Note the complete and the correct question is
Q- With mathematical examples how can statistics be related to real life ?
Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:
Answers
Answer:
-30(-8)
Step-by-step explanation:
A negative times a negative always equals a positive.
This give you an answer of 240
can you help me please
Answers
Answer:
With what?
Step-by-step explanation:
Can I have a brainliest pls pls pls
for what real values of $c$ is $4x^2 14x c$ the square of a binomial?
Answers
The real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.
To determine the real values of $c$ for which the expression $4x² + 14xc + c$ is the square of a binomial, we need to find the conditions under which it can be factored as $(ax + b)²$, where $a$ and $b$ are constants.
Expanding $(ax + b)²$, we have $(ax + b)² = a²x² + 2abx + b²$. Comparing this with $4x² + 14xc + c$, we can set up the following equations:
$a² = 4$ (equating the coefficients of $x²$)
$2ab = 14c$ (equating the coefficients of $x$)
$b² = c$ (equating the constant terms)
From the first equation, we find that $a = \pm 2$. Substituting this value into the second equation, we have:
$2(\pm 2)b = 14c$
$\Rightarrow \pm 4b = 14c$
$\Rightarrow b = \pm \frac{14c}{4}$
$\Rightarrow b = \pm \frac{7c}{2}$
Finally, substituting the values of $a$ and $b$ into the third equation, we get:
$\left(\pm \frac{7c}{2}\right)² = c$
$\Rightarrow \frac{49c²}{4} = c$
$\Rightarrow 49c² = 4c$
$\Rightarrow 49c² - 4c = 0$
$\Rightarrow c(49c - 4) = 0$
Now, we can solve this equation to find the values of $c$:
$c = 0$: This is one possible solution.
$49c - 4 = 0 \Rightarrow 49c = 4 \Rightarrow c = \frac{4}{49}$: This is another possible solution.
Therefore, the real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.
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Please help me with this homework
Answers
The equation for slope is rise over run. Y is the rise and X is the run. The point equation is (y2-y1)/(x2-x-1) = slope.
Plugging in the numbers: (-4-1)/(-4-0) = 1.25
Answer:
5/4
Step-by-step explanation:
Slope = Rise↕/Run↔
In other words, from coordinates (-4,-4) go up 5 units then go right 4 units, to get to coordinates (0,1).
Hope this makes sense :)
Violet rents a bike in a city she is visiting. She pays an initial fee of $2.50 plus $3.75 per hour she rents the bike. Which equation can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike?
Answers
Answer: y = 3.75x + 2.50
Step-by-step explanation:
The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:
y = 3.75x + 2.50
Explanation:
Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:
What is 1/5 of 40,000
Answers
Answer:
8000
Step-by-step explanation:
\(\frac{1}{5}*40000=\frac{40000}{5}=8000\)
Good luck
How many different vacation combinations do you have to choose from?
Answers
Answer:
12 different vacation caombinations
Step-by-step explanation:
has 3 options of Theme Park and 4 options of length of trip
\(C=(3)(4)=12\)
Hope this helps
A video game player is in the shape of a rectangular prism. It has a length of 20 inches, a width of 11.4 inches, and a height of 3.5 inches. What is the volume of the video game player in cubic inches?
Answers
Answer:
798
Step-by-step explanation:
SOMEONE PLEASE HELP MEEE!!!
Answers
Answer: 1080
Step-by-step explanation:
Heres why:
SA is L*W*H as the same formula as volume.
The property taxes on a business office were $2160. what was the tax rate if the business office was valued at $270,000?
Answers
The tax rate on the business office was 0.08. To calculate the tax rate, we divide the property taxes by the value of the property.
In this case, the property taxes were $2160 and the value of the property was $270,000. Therefore, the tax rate is 0.08.
Tax rate = Property taxes / Value of property
= $2160 / $270,000
= 0.08
The first step is to divide the property taxes by the value of the property. This gives us a decimal value of 0.08.
The second step is to convert the decimal value to a percentage by multiplying it by 100%. This gives us the final answer of 8%.
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Pls help this is for a test ill give 20 points
Answers
Answer:
y = 2x+1
Step-by-step explanation:
Given, the slope of a line is 2 and y-intercept is 5.
Here, m=2 and c=1.
The equation of the line in slope-intercept form is given by
y=mx+c
∴ y=2x+1 is a required equation.
Not sure if it correct or not.
HELP!!!
The coordinates of three vertices of a rectangle are
(-5, 3), (-5, -2), and (2,-2).
(a) What are the coordinates of the fourth vertex? .
(b) What is the area of the rectangle?
Answers
Answer:
a) (3,7) b) 35
Step-by-step explanation:
Find the balance if you deposit 5000 that earns 4% annual interest compounded yearly for 6 years
Answers
Answer:
The balance after 6 years, assuming the deposit of 5000 earns 4% interest compounded yearly, would be 7400. This is calculated by using the formula A=P(1+r/n)^nt, where A is the balance, P is the principal (5000), r is the interest rate (0.04), n is the number of times the interest is compounded per year (1), and t is the number of years (6).
How many strings can be formed by ordering the letters salespersons if no two s’s are consecutive?.
Answers
There are 2,540,160 strings of SALESPERSONS with no consecutive S's.
Explanation:
The number of r-combinations of a set of n distinct objects is C(n,r) = \(\frac{n!}{r!(n-r)!}\)
Multiplication principle : If one event can occur in m ways AND a second event can occur in n ways, then the number of ways that the two events can occur in sequence is then mn.
We want to place the 4S's in the string of the other letters such that there are not consecutive. Since there are 9 positions including spaces between two consecutive letters in the 8-letter string and two positions on either side of the string, we need to place 4 of the 9 positions to contain a single S each.
By the definition of combination, there are ⁹C₄ ways to select 4 of the 9 positions to place the S's (as the order of the positions is not important since a different order of the S's leads to the same string).
By the multiplication principle, there are then ⁹C₄. \(\frac{8!}{2}\) (divided by 2 since , in remaining 8 characters 2E are identical) possible strings of SALESPERSONS with no consecutive S's.
⁹C₄ . \(\frac{8!}{2}\) = \(\frac{9!}{4!(9-4)!}\) \(\frac{8!}{2}\)
= \(\frac{9!}{4!.5!} . 20,160\)
= 126.20,160
= 2,540,160
Thus, there are 2,540,160 strings of SALESPERSONS with no consecutive S's.
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Y=x-10 Y=-4x-5
Solve using substitution
Answers
Answer:
x = 1
Step-by-step explanation:
Both equations can be set equal to each other since they are both equal to y:
\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)
equate both equations !
x - 10 = -4x - 5
5x - 10 = -5
5x = 5
x = 1
therefore x = 1
What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-
Answers
Answer:
12
Step-by-step explanation:
i counted 12 units from A to get to B
Answer:
I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.
Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?
Answers
Step-by-step explanation:
she sell 5piece out of 6 per hour
for 36 hour, she sell:
5 × 36 = 180piece of pie
one pie is cut to 6 piece
180/6 = 30pie
Using the Exchange List for Meal Planning, list the portion size for each of the following foods (2.5 Points): Examples: English Muffin = ½ English Muffin (1 CHO serving, 15 gm CHO) Pretzels = ¾ oz (1 CHO serving, 15 gm CHO)
a. Oatmeal
b. Peas
c. Couscous
d. Blueberries
e. Fat Free or 1% Low Fat Yogurt
Answers
Using the Exchange List for Meal Planning the portion size for each of the following foods is given below.
Oatmeal: 1/3 cup cooked oatmeal (1 CHO serving, 15 gm CHO).
Peas: 1/2 cup cooked peas (1 CHO serving, 15 gm CHO).
Couscous: 1/3 cup cooked couscous (1 CHO serving, 15 gm CHO).
Blueberries: 3/4 cup fresh blueberries (1 CHO serving, 15 gm CHO).
Fat-Free or 1% Low-Fat Yogurt: 8 ounces (1 CHO serving, 15 gm CHO).
Oatmeal, when measured cooked, has a portion size of 1/3 cup, which counts as 1 carbohydrate (CHO) serving and contains 15 grams of carbohydrates (CHO). This portion size is considered to be a standard serving for meal planning purposes.
Peas, when cooked, have a portion size of 1/2 cup, which is equivalent to 1 CHO serving and contains 15 grams of carbohydrates (CHO). This portion size allows for easy inclusion in a balanced meal.
Couscous, a popular grain dish, has a portion size of 1/3 cup when cooked. This amount is considered as 1 CHO serving, containing 15 grams of carbohydrates (CHO). It provides a suitable portion for meal planning purposes.
Blueberries, when fresh, have a portion size of 3/4 cup, which counts as 1 CHO serving and contains 15 grams of carbohydrates (CHO). This amount allows for a generous serving of blueberries while keeping the carbohydrate content in check.
Fat-Free or 1% Low-Fat Yogurt has a portion size of 8 ounces, which is considered as 1 CHO serving and contains 15 grams of carbohydrates (CHO). This serving size is commonly used when incorporating yogurt into meal plans.
By following these portion sizes, individuals can effectively incorporate these foods into their meal planning while keeping track of their carbohydrate intake. It is essential to consult a healthcare professional or registered dietitian for personalized meal planning advice based on individual dietary needs and goals.
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the life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 520 hours. find the probability of a bulb lasting for at most 549 hours. round your answer to four decimal places.
Answers
Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.
Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.
To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).
The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.
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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%
Explanation:Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.
To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.
We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.
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The side of the second leg would be proximately blank inches long? Some help would be Greatly appreciate it thank you
Answers
Given: The dimension of the right-trinagle as
\(\begin{gathered} H_{\text{ypothenuse}}=24\text{inches} \\ O_{ne\text{ of the legs of the triangle}}=12inches \end{gathered}\)To Determine: The second leg of the triangle to the nearest tenth
Solution:
Let us represent the given using a right-triangle
The hypothenuse is the logest side and the side facing the right angle
Applying pythagoras theorem which state that the square of the hypothenuse is equal to the sum of the squares of the other sides
Let the other leg be y
Therefore
\(y^2+12^2=24^2\)\(\begin{gathered} y^2+144=576 \\ y^2=576-144 \\ y^2=432 \end{gathered}\)\(\begin{gathered} y^2=432 \\ y=\sqrt[]{432} \\ y=20.7846 \\ y\approx20.8inches \end{gathered}\)Hence, the second leg of the triangle is 20.8 inches rounded to the nearest tenth
How do I give a reason for my answer to find the value of X?
Answers
Answer:
explain yourself
Step-by-step explanation:
explain yourself, rather than writing the answer as x=88 explain why it is, for example we can say that
"since a four sided shapes total interior angles are 360⁰ we can add up the angles that we know, here 156, 69 and 47, giving us 272, subtracting that from 360 gives us 88 which is the answer for x"
Answer:
answer below
Step-by-step explanation:
angles in quadrilateral add up to 360°
what does g stand for in math?
Answers
Answer:
g stands for a measure of mass that is approximately equal to the weight of paper clip, penny, or nickel. note: this is not a fake one this is real and I have done my research
nondisclosure of the treatment an experimental unit is receiving
Answers
Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.
Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.
Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.
"
Complete question
________ refers to nondisclosure of the treatment an experimental unit is receiving.
"
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