Firstly let's find hypotenuse(let it will be "n" of smaller triangle
Let use Pythagorean theorem
\(a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500} \)
Now we need to find hypotenuse(x) of bigger triangle
\( {c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581} \)
The value of x must be rounded to 1 DP, so
\( \sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1\)
Answer: x=24.1
does 15/21 and 40/56 form a proportion
Answer:
No, 15/21 and 40/56 do not form a proportion.
Step-by-step explanation:
m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.
Answer:
The answer is m=-2 or m=7.
Step-by-step explanation:
The steps to solve this equation are below:
Factor: to get (m+2)(m−7)=0.
m+2=0 or m−7=0
m=−2 or m=7. So, your answer is m=-2 or m=7.
Answer:
m = 7
m = -2
Step-by-step explanation:
ax^2 + bx + c
1m^2 - 5m - 14
a = 1
b = -5
c = -14
-b ± √b^2 - 4ac/2a
-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)
5 ± √25 + 56/2
5 ± √81/2
5 ± 9/2
5 + 9/2
14/2 = 7
5 - 9/2
-4/2 = -2
(4x + 2), (2x +3), and (x-2)
Add all the answers together!!
Please help its due today.
g town wants to study the relationship between weekly revenue and advertising expenditures. all measures are recorded in thousands of dollars. the summary output for the regression model is given below. anova df ss ms f significance f regression 20 24.5710256 1.22855128 15.12484836 1.8033e-17 residual 66 5.361004789 0.08122735 total 86 29.93203039 step 1 of 3 : what is the coefficient of determination for this model, r2 ? round your answer to four decimal places.
Therefore, the coefficient of determination for regression model is 0.8209, rounded to four decimal places.
The coefficient of determination, R-squared (r²), is a measure of how well a linear regression model fits the data. It tells us the proportion of the total variation in the response variable (y) that is explained by the linear regression model.
In order to calculate r², we first need to calculate the regression sum of squares (SSR) and the total sum of squares (SST). The regression sum of squares measures the amount of variation in the response variable that is explained by the regression model. The total sum of squares measures the total amount of variation in the response variable.
Once we have calculated SSR and SST, we can calculate r² as the ratio of SSR to SST. In this case, we are given the values of SSR and SST in the ANOVA table. We can calculate r² as:
r² = SSR/SST
= 24.5710256/29.93203039
= 0.8209 (rounded to four decimal places)
Therefore, the coefficient of determination, R-squared (r²), is 0.8209, which means that 82.09% of the total variation in the response variable is explained by the linear regression model. This is a relatively high value for r², which indicates that the model is a good fit for the data.
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To solve this system of equations using substitution, what could be substituted in place of x in the second equation?
2y + x = 11
31 - y = -4
a. 2y – 11
b. 11 – 2y
c. 3x + 4
d. y - 4/3
Answer:
b 11-2y
Step-by-step explanation:
G
Determine the signs of the quotients.
The quotient of -125 and 5 is
The quotient of -264 and -12 is
The quotient of O and –350 is
The quotient of 276 and -8 is
Answer:
1 negative
2 positive
3 zero
4 negative
Step-by-step explanation:
Hope this helps :)
For each relation, decide whether or not it is a function.
Relation 1 IS a function.
Each input is used only once, so each input is paired with exactly one output.
It doesn't matter that many of the inputs go to the same output. When you ask, "What is the output for this one input?", there is only one answer for any single input.
Relation 2 is NOT a function.
The input of "j" has two different outputs, because there are two different lines coming off of it.
Relation 3 IS a function.
Each x-value is used only once, so each input is paired with exactly one output.
Relation 4 IS a function.
Each x-value is used only once, so each input is paired with exactly one output.
if f(x) = 3x+7 find f(x+1)
Answer:
-3
Step-by-step explanation:
3x +7 =f(x+1)
3x +7=x+1
3x-x=-7+1
2x=-6
-3
Andrea bough a bucket of colored chalk. The list below shows the fraction of each color of chalk in the bucket. 2/6 are yellow, 5/12 are blue, and 3/12 are green. Andrea told Michelle that less than 1/2 the chalk in the bucket is blue. Michelle said she is mistaken. Who is correct? Explain why you chose your answer.
Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.
How to solve fractions?Yellow = 2/6Blue = 5/12Green = 3/12Total = 2/6 + 5/12 + 3/12
= (4+5+3) / 12
= 12/12
= 1
Fraction of blue : Total chalk
= 5/12 : 1
Blue = 5/12 ÷ 1
= 5/12 × 1/1
= 5/12
= 0.42
So,
1/2 = 0.5
Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.
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CAN SOMEONE HELP ME I NEED HELP LIKE.... NOW!!!
Answer:
(x+6)(x+4)
Step-by-step explanation:
Suppose that you borrow $15,000 for 4 years at 5% toward the purchase of your car. use pmt to find the monthly payments and the total interest for the loan
The formula for the monthly loan payment is given as
\(A\text{ = }P(\frac{r(1+r)^n}{(1+r)^n-1})\)Where
P = loan amount ( initial principal) = $15000
A= Payment amount per period = ?
r = interest rate per period = (5/12) x (1/100) =0.0041667
n = total number of payments or periods = 4 years = 4 x 12 = 48 months
Substituting all these into the above equation gives
\(A\text{ =15000( }\frac{0.0041667(1+0.0041667)^{48}}{(1+0.0041667)^{48}-1})\)\(A\text{ = 15000(}\frac{0.0041667(1.0041667)^{48}}{(1.0041667)^{48}-1})\)\(\begin{gathered} A\text{ = }15000(\frac{0.0041667\text{ }\times1.2208973}{1.2208973\text{ - 1}}) \\ A=\text{ 15000(}\frac{0.005087112781}{0.2208973}) \end{gathered}\)\(\begin{gathered} A=15000(0.023029311) \\ A=\text{ \$345.4396759} \end{gathered}\)So each month he pays $345.44 to the nearest cent
B)
The total interest for the loan is given by
Total amount paid over the total period of time - Original amount borrowed
Total amount paid over the total period of time = 345.44 x 48 months = $16581.12
The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12
The total loan interest to the nearest cent = $1,581.12
Lack of attention to date issues can invalidate testing results. what is a good way to make sure data issues are property addressed?
A good way to ensure that data issues are properly addressed is by implementing robust data quality assurance and validation processes. These processes involve various steps and techniques to identify, prevent, and resolve data issues effectively. By following these best practices, you can minimize the risk of invalidating testing results due to date-related problems.
One essential step is to establish clear data quality standards and guidelines. This includes defining data formats, data integrity rules, and validation criteria specific to date-related fields. By setting these standards, you provide a framework for ensuring consistent and accurate data across the testing process.
Another important aspect is to perform comprehensive data profiling and analysis. This involves examining the data to identify anomalies, inconsistencies, or inaccuracies related to dates. By using data profiling tools or writing custom scripts, you can detect issues such as missing values, incorrect formats, or outliers within date fields. This analysis enables you to have an overview of the data quality and pinpoint potential problems.
To address data issues effectively, it is crucial to establish data cleansing procedures. This involves correcting errors, resolving inconsistencies, and standardizing date formats. For instance, you can use data cleaning techniques like imputation to fill in missing dates, transforming data into a consistent format (e.g., YYYY-MM-DD), or removing duplicate entries. By applying these cleansing techniques, you improve the accuracy and reliability of the data used in testing.
Furthermore, implementing data validation checks is essential to identify and flag potential issues during the testing process. This can involve writing automated tests or validation scripts that verify the integrity and correctness of date-related data. By performing validation checks at different stages of the testing process, you can detect anomalies promptly and take appropriate actions to address them.
Lastly, fostering a culture of data quality awareness and accountability is crucial. Promoting education and training on data handling best practices, emphasizing the importance of accurate dates, and encouraging open communication about data issues among team members can significantly contribute to ensuring data issues are adequately addressed.
In summary, to ensure data issues are properly addressed, it is important to establish data quality standards, perform data profiling and analysis, implement data cleansing procedures, incorporate validation checks, and foster a culture of data quality awareness. By following these practices, you can mitigate the risk of invalidating testing results due to date-related problems and enhance the overall reliability and integrity of your data.
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A function that converts an input of letters and numbers into an encrypted output of a fixed length. The links in the blockchain that is created using an algorithm.
A function that converts an input of letters and numbers into an encrypted output of a fixed length is called hash. The links in the blockchain that is created using an algorithm.
A hash is a mathematical function that changes an input of any length into an encrypted output of a specific length. Therefore regardless of the quantity of raw data involved or the size of the file, its unique hash is always the same size. Also, a hash cannot be used to "reverse engineer" an input from a hash output, because hash functions are "one-way" (like a meat grinder; you don't can't put ground beef back into a steak). However, if you use such a function on the same data, its hash will be the same, so you can confirm that the data is the same (i.e., unchanged) if you already know its hash.
Hashes are used in various parts of the blockchain system. Each block header contains the hash of the previous block, ensuring nothing has been tampered with as new blocks are added. Cryptocurrency blockchains use hashes to secure information and make the ledger immutable.
It refers to the technique of making an input element of arbitrary length reflect an output element of definite length. For blockchain applications in cryptocurrencies, variable duration transactions are processed by specific hashing algorithms and all produce fixed length outputs. This is true regardless of the duration of the input transaction.
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Complete Question:
Fill in the blanks,
A function that converts an input of letters and numbers into an encrypted output of a fixed length is called ________. The links in the blockchain that is created using an algorithm.
please help me it is due today
Answer: 6
Step-by-step explanation:
Jenny’s mom opened up a $1,000 CD for her that earns 3.5% interest. How long will it take for Jenny to double her account balance? Round to the nearest whole number.
16 years
13 years
21 years
7 years
Answer: 21 years
Step-by-step explanation:
I used a rule of 72 calculator to find this answer. At a 3.5% interest rate, it will take 20.57 years to double an investment.
15 is 60% of what number?
25
hope it helps...!!!!
3. In Mexico a lawyer is using a relatively small-scale (1:100,000) to locate an abandoned oil well on a client's property for legal purposes. He is having a difficult time finding this old we because it is overgrown with brush. Assuming that 90% of the points will be within 5 mm of their actual position on the map calculate the relative accuracy of features plotted on this map meters. Show your work to get credit.
Therefore, the relative accuracy of features plotted on the map is 500 meters.
To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.
Given:
Relative accuracy = 90%
Accuracy within 5 mm
To convert millimeters to meters, we divide by 1000:
5 mm = 5/1000 = 0.005 meters
Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.
To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):
Relative accuracy = 0.005 meters * 100,000 = 500 meters
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Use the information to answer the question.
Ana recycles a cookie tin to use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a width of 10 centimeters,
and a height of 4 centimeters.
What is the length of the longest pencil that can fit inside the tin? Enter the answer in the box. Round the answer to the nearest hundredth of
a centimeter.
he length of the longest pencil that can fit inside the tin is 17.6 cm.
Now, According to the question:
The tin is a rectangular prism with a length of 14 centimeters,
A width of 10 centimeters,
and a height of 4 centimeters.
To find the length of the longest pencil that can fit inside the tin.
Length of diagonal
\((10^2+14^2)^0^.^5=17.204\)
Height of the box is 4
\(17.204^2+4^2=316^0^.^5=17.6 cm\)
Hence, The length of the longest pencil that can fit inside the tin is 17.6 cm.
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What is the sum of the prime factors of the number 330?
Answer:
21
Step-by-step explanation:
prim factors: 2, 3, 5, and 11
The sum of the prime factors of the number 330 is 21.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.
Given:
The number is 330
Factorize the above number,
330 = 1 × 2 × 3 × 5 × 11
Prime factors are = 2, 3, 5, 11
Calculate the sum of the prime factor
2 + 3 + 5 + 11 = 21
Therefore, the sum of the prime factors of the number 330 is 21.
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336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
a bag contains 6 red, 8 white, and 5 blue marbles. find the probability of picking 3 red marbles if each marble is returned to the bag before the next marble is picked.
The probability of randomly picking 3 red marbles in a row is:
P = 0.0315
How to find the probability?If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.
There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:
P = 6/19
And we want to do this thing 3 time (when we get the red marble we return it to the bag).
Then we will have the probabilities:
q = 6/19
k = 6/19
The joint probability of these 3 events is the product between the individual probabilities, we will get:
P = (6/19)*(6/19)*(6/19) = 0.0315
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7 divided by 9 long division
Complete the identity. Cos(2pi-x) =?
PLEASE I NEED HELP ASAP!
The identity of cos (2π-x) = -cosx
What are trigonometric identities?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.
for example;
cos 2 θ + sin 2 θ = 1
1 + cot 2 θ = csc 2 θ
1 + tan 2 θ = sec 2 θ
For cos(2π -x)
π = 180°
2π = 2× 180
= 360°
Therefore cos ( 360-x) will have the identity -cos x.
This is because 360° has an equivalent as 0 in trigonometry.
Therefore cos( 0-x)
= -cosx
therefore the identity of cos (2π-x) is -cos(x).
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4. Finn spent 75% of his
savings on new
headphones. If he had $88
saved, what did he spend
on the headphones?
Answer:
It would be $22
Step-by-step explanation:
88 times .75 = 66
subtract 66 from the original price and it gives you $22
in the market for a bag of socks, what happens if the price of cotton falls?
A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.
When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:
1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.
2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.
3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.
It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.
Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.
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which fractions are equivalent to the value of 2/10 + 20/100? drag and drop the fractions into the box.
Lets see
2/10+20/1002/10+2/102+2/104/102/5By changing to polar coordinates, evaluate the double integral {eq}\iint_{D} (x^2 + y^2)^\frac{3}{2} \, \mathrm{d}x \ \mathrm{d}y {/eq}, where {eq}D {/eq} is the disk {eq}x^2 + y^2\leq 36 {/eq}.
The expression inside the integral, we get {eq}r^3 \sqrt{r^2} = r^{\frac{7}{2}} {/eq}. Evaluating the integral, we get:{eq}\int_{0}^{2\pi} \int_{0}^{6} r^3 \sqrt{r^2} \, \mathrm{d}r \, \mathrm{d}\theta = \int_{0}^{2\pi} \left[\frac{2}{9}r^{\frac{9}{2}}\right]_{0}^{6} \, \mathrm{d}\theta = \frac{2}{9}(6^{\frac{9}{2}}-0) \int_{0}^{2\pi} \mathrm{d}\theta = \boxed{432\pi} {/eq}
To change to polar coordinates, we need to express {eq}x {/eq} and {eq}y {/eq} in terms of {eq}r {/eq} and {eq}\theta {/eq}. Using the conversion formulas, we have {eq}x = r\cos{\theta} {/eq} and {eq}y = r\sin{\theta} {/eq}. The limits of integration also change to reflect the new coordinate system. In polar coordinates, the disk {eq}x^2 + y^2\leq 36 {/eq} becomes {eq}0\leq r\leq 6 {/eq} and {eq}0\leq \theta\leq 2\pi {/eq}. Substituting these values, we get:
{eq}\iint_{D} (x^2 + y^2)^\frac{3}{2} \, \mathrm{d}x \ \mathrm{d}y = \int_{0}^{2\pi} \int_{0}^{6} r^3 \sqrt{r^2} \, \mathrm{d}r \, \mathrm{d}\theta {/eq}
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can you guys send the graph through brainly pls ty i don’t know how to make graphs and it’s due at 11:30 so pls ill mark brainlist and points
Answer:
i will add the pictures in order , desmos is a helpful way to graph
Step-by-step explanation:
i hope this helps
Gordon types 2,584 words in 38 minutes.
Answer:
Gordon types 68 words per minute
Step-by-step explanation:
2584/38=68
Subtract.
(5x4+ 3x3 - 6) - (8x2 – 3x+5)
Answer:
5x^4+3x^3-8x^2+3x-11
Step-by-step explanation:
(5x^4+ 3x^3 - 6) - (8x^2 – 3x+5)
Distribute the minus sign
(5x^4+ 3x^3 - 6) - 8x^2 + 3x-5
Combine like terms
5x^4+3x^3-8x^2+3x-11
Answer:
5x4 + 3x3 - 8x2 + 3x - 11
Step-by-step explanation:
(5x4 + 3x3 - 6) - (8x2 - 3x + 5)
Combine like terms:
-6 - 5 = -11
Put in order:
5x4 + 3x3 - 8x2 + 3x - 11
Hope this helps