Answer:
ones
Step-by-step explanation:
always start with the smallest number
Answer:
ones
then tens, tenths, hundreths
Step-by-step explanation:
hope this helps
54x + 15 = -3 (3y + 1)
I need help finding the equation for y
Answer: y = -6x - 2
Step-by-step explanation:
54x + 15 = -3(3y + 1) To solve for y distribute on the right side to get,
54x + 15 = -9y -3 Add 3 to both sides
+3 +3
54x + 18 = -9y Divide each term by -9 on each side.
y = -6x - 2
Answer______
54x + 15 = -3 (3y + 1)
54x + 15 = -9y -3
+3 +3
54x + 18 = -9y
y = -6x - 2
What two numbers is the square root of 41 between?
a 6 and 7
b 7 and 8
C
8 and 9
d 9 and 10
Find the values of a, h, and k for the graph above. a =
H=
K=
On solving the provided question we can say that in the graph we have been provided with the equation y = 4x^2; y = 0
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
here,
in the graph we have been provided with the equation
y = 4x^2
and x = 0
so , y = 0
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Jane's school is due west of her house and due south of her friend Norma's house. The distance between the school and Norma's house is 8 kilometers and the straight-line distance between Jane's house and Norma's house is 9 kilometers. How far is Jane's house from school? If necessary, round to the nearest tenth.
Answer
Distance = 4.1 km
Explanation
Let the distance between Jane's house from school be x
The distance can be calculated using pythagora's theorem
\(\begin{gathered} \text{Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = 9km, opposite = 8km and adjacent = x km} \\ 9^2=8^2+x^2 \\ \text{Isolate x}^2 \\ 81=64+x^2 \\ \text{Collect the like terms} \\ 81-64=x^2 \\ 17=x^2 \\ \text{Take the square roots of both sides} \\ \text{x = }\sqrt[]{17} \\ \text{x = 4.1 km} \end{gathered}\)Therefore, the distance between Jane's house from school is 4.1 km
Solve 345°=
Please help me ASAP
the due date of my assignment is tomorrow
The answer to ur question is 1
Find all solutions to the equation $10x^2 - 7x - 6 = 0$.
The required solutions are x = 6/5 and x = -1/2 to the given quadratic equation 10x² - 7x - 6 = 0.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given in the question:
10x² - 7x - 6 = 0
We have to determine all solutions to the given equation
As per the given question, we have
10x² - 7x - 6 = 0
10x² - 12x + 5x - 6 = 0
2x(5x - 6) + 1(5x - 6) = 0
(5x - 6)(2x + 1) = 0
Equating the above factors to zero, we get
5x - 6 = 0 and 2x + 1 = 0
5x = 6 and 2x = -1
x = 6/5 and x = -1/2
Therefore, the required solutions are x = 6/5 and x = -1/2 to the given quadratic equation 10x² - 7x - 6 = 0.
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A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78
Answer:
$31.88
Step-by-step explanation:
Given
Consumer charges = 2530.16cents
Consumer charges in dollars = $25.3016
Interest rate per day = 0.042%
Interest gotten per day = 0.042×25.3016
Interest per day = $1.06266
Interest in 30 days = ,30×1.06266
Interest in 30 days = $31.88
Answer:
c pls mark barliest
Step-by-step explanation:
5. What is "Data Triangulation" in general? Give 2 real-world examples.
Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.
Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.
Two real-world examples of data triangulation are:
Qualitative-Quantitative Triangulation in Market Research: In market research, qualitative methods like focus groups or interviews can be combined with quantitative methods like surveys or sales data analysis. By triangulating these data sources, researchers can gain a deeper understanding of consumer preferences, behaviors, and market trends, combining the richness of qualitative insights with the statistical power of quantitative data.Methodological Triangulation in Educational Research: In educational research, methodological triangulation can be employed by using multiple research methods to investigate a learning phenomenon. For example, a researcher may use classroom observations, interviews with teachers, and student performance data to gain a comprehensive understanding of a teaching strategy's effectiveness. By triangulating these data sources, the researcher can capture a more complete picture of the learning environment and draw robust conclusions.Learn more about Data Triangulation at
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Mr. Granger, a cyclist, rode from his home to his office at an average speed of 18 miles per. On his return home from his office, using the same route, he averaged 12 miles per hour. If the total trip took 5 hours, what was the distance from his home to his office?
Answer:
The distance is 36 miles.
Step-by-step explanation:
distance in either direction = d
total time = 5
time going = t
time returning = 5 - t
speed = distance/time
going:
speed = distance/time
18 = d/t
d = 18t Eq. 1
returning:
speed = distance/time
12 = d/(5 - t)
60 - 12t = d
d = 60 - 12t Eq. 2
Eq. 1 and Eq. 2 form a system of equations.
d = 18t
d = 60 - 12t
Since d = d, then 18t must equal 60 - 12t
18t = 60 - 12t
30t = 60
t = 2
d = 18t = 18(2) = 36
The distance is 36 miles.
The formula for __________________________ is x = t e or raw score (x) equals the true score (t) plus error (e).
The formula for Observed Score is; Observed score (X) = True score (T) + measurement error (e)
What is the observed score formula?The formula for Observed Score is;
Observed score (X) = True score (T) + measurement error (e)
1) True score is the score that would be obtained if an individual took a test an infinite amount of times and those test scores were averaged. The concept of true score is theoretical because you can't give someone something an infinite number of times.
2) Standard error of measurement is the standard deviation of multiple test scores (how far the sample mean of the data is likely to be from the true population mean).
The less random error (e) in the measure, the more the observed score X approximates the true score T.
Thus;
Observed score = True Score + Error
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we are told that a certain 5 × 5 matrix a can be written as a = bc, where b is a 5 × 4 matrix and c is 4 × 5. explain how you know that a is not invertible.
The matrix A is not invertible.
A matrix is invertible if and only if it is square and its determinant is non-zero. In the given case, matrix A is a 5 × 5 matrix and can be written as A = BC, where B is a 5 × 4 matrix and C is a 4 × 5 matrix.
Since B is a 5 × 4 matrix and C is a 4 × 5 matrix, the product BC will be a 5 × 5 matrix, which is the same size as A. However, the rank of the product BC cannot be greater than the smaller of the ranks of B and C. Since B is a 5 × 4 matrix, its rank cannot be greater than 4, and similarly, the rank of C cannot be greater than 4. Therefore, the rank of the product BC cannot be greater than 4.
Since the rank of A is the same as the rank of BC, the rank of A cannot be greater than 4. However, for a 5 × 5 matrix to be invertible, its rank must be 5.
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Plz help I’m struggling in math
Answer:Arrangment 2
Step-by-step explanation:1/3 times 3 to both sides is 3/9
Find the solution for this system equations.
12x + 15y = 34
-6x + 5y = 3
x = ?
y = ?
Find the value of y
Answer:
115
Step-by-step explanation:
Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?
Answer:
Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?
Step-by-step explanation:
It's 4320
a 300$ mountain bike is discounted by 30% and then discounted an additional 10% for shoppers who arrive before 5am. explain why taking off 30% and then 10% off is NOT the same as a 40% discount
WILL GIVE BRAINLEIST IF RIGHT : A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards
900 + 315 + 150 = 1,365 square yards is the total area. The sum of triangles 1 and 2 is 315 square yards.
How is the playground's size determined?To calculate the size of the playground, divide the land into two triangles, a rectangle, and a square, and then add the areas of each.
Given that it is 50 yards long and 18 yards broad, the rectangle's area is.
900 square yards is the area of a rectangle, which is equal to length times breadth times 50 divided by 18.
One of the triangles has the following area at a height of 35 yards and a base of 18 yards:
Triangle 1 has an area of 315 square yards, or (18 35) / 2 (base x height).
Since the second triangle's top side is marked as 50 yards, its base is 20 yards, and its height is 50 - 35 = 15 yards, its area is as follows.
150 square yards is the area of triangle 2 (20 15) / 2 (base x height).
Consequently, the playground's overall size is:
900 + 315 + 150 = 1,365 square yards is the total area. The sum of triangles 1 and 2 is 315 square yards.
The option that most closely resembles the estimated playground area is 1,750 square yards. But this option is not the appropriate one. The correct response is 1,365 square yards.
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A 2-column table with 4 rows. Column 1 is labeled Time (minutes), x with entries 4, 5, 6, 7. Column 2 is labeled Bags Remaining, y with entries 36, 32, 28, 24.
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?
36
48
52
56
Therefore, the initial number of party favor bags Razi had to fill is 20.
To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.
Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.
From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.
To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).
36 - 16 = 20
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You have monthly data on the price of bitcoin. You are considering buying $1,000 worth of bitcoins and want to estimate how much your investment will be worth in the future. (Note that you can buy fractions of a bitcoin Based on this data sample, what is the average monthly growth rate in the price of bitcoin? What is the standard deviation of the monthly growth observations?
Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.
Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.
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What is 427 thousand in scientific notation
Answer:
4.27x10^2
Step-by-step explanation:
Frankie is getting stitches on his arm and leg after a fall off the monkey bars.His legs requires three times as many stitches as his arm.If his leg required 51 stitches, how many did Frankie get on his arm?.........help
Construct the confidence interval for the population mean μ. c=0.90, x= 15.2, o=3.0, and n=95 *** A 90% confidence interval for μ is). (Round to one decimal place as needed.)
For a population with mean μ, if c=0.90, x=15.2,o=3.0, and n=95, then the 90% confidence interval for μ is (14.5,15.9)
To find the 90% confidence interval for μ, follow these steps:
According to the formula of confidence interval:\(\[\overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}} \ \text{ to } \ \overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\]\)Where, c=0.90 is the confidence interval value.The z-value can be found using z-table. The formula for z-value is z = (x - μ) / σ / √n. We are to calculate the 90% confidence interval for μ. This implies that the level of significance is α = 0.10. Thus, α/2 = 0.05. Now we find the z-value at 0.05, it is 1.645. Therefore, \(\[\overline{x}-z_{\alpha/2}\frac{\sigma}{\sqrt{n}} \ \text{ to } \ \overline{x}+z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\]\)= 15.2 - 1.645 × (3 / √(95)) to 15.2 + 1.645 × (3 /√(95))= 14.509 to 15.891Therefore, the 90% confidence interval for μ is (14.5, 15.9)
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6th grade math help me pleaseeeee
Answer:
"A" option is correct
Step-by-step explanation:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion,
so if you take proportion of corresponding sides you will get n=1
A 2 pound bag of grass seed covers 5,000 square feet. How many pounds would be needed to cover 18,000 square feet?Write answer as an integer or a reduced fraction.
This exercise is about direct proportionality. We have two quantities: # of pound bags of grass seed, and square feet of land. They are directly proportional, and we know that 2 pound bags "correspond" (covers) with 5000 square feet. Then, if x denotes the pound bags that covers 18000 square feet, the following equation must hold:
\(\frac{x}{18000}=\frac{2}{5000}\text{.}\)Comment: In simple words, direct proportionality says that dividing a number of pound bags of grass by the square feet they cover gives always the same number!
Solving the above equation for x, we get
\(\begin{gathered} \frac{x}{18000}=\frac{2}{5000}, \\ x=18000\cdot\frac{2}{5000}, \\ x=\frac{36000}{5000}, \\ x=\frac{36}{5}\text{.} \end{gathered}\)AnswerTo cover 18000 square feet it's needed 36/5 pound bags of grass seed.
find the area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x)
The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.
In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)
Equating both the equations of the curve,
6x^2 ln(x) = 24 ln(x)
24 ln(x) - 6x^2 ln(x) = 0
x = 1, 2
This means, the curves intersect at x = 1 and x = 2.
So, the required area would be,
A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx
= -6 ∫[-4 ln(x) + x^2 ln(x)] dx
= -6 ∫ln(x) (x^2 - 4) dx
= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x
So, ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)
= 32 ln(2) - 58/3
= 22.18 - 19.33
= 2.85 sq.units.
Therefore, the area of the region is 2.85 sq.units.
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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
Write and exponential function in the form y=ab^x that goes through points (0,15) and (2,240)
Answer:
One possible exponential function that goes through points (0, 15) and (2, 240) is y = 15 * (2^x)
Another possible exponential function that goes through the points (0,15) and (2,240) is y= 15*(5^x)
Step-by-step explanation:
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
Can anyone help me with this question?
Answer:
Penta Trinomial
Step-by-step explanation:
Highest power is 5 (penta)
Highest number of term is 3 (tri)
Answer:
6th degree trinomialStep-by-step explanation:
Given polynomial
4xy⁵ + 2xy - x⁴yIt has 3 terms so is trinomial
It has degrees as
First term = 1 + 5 = 6Second term = 1+1 = 2Third term = 4+1 = 5As the greatest degree is 6, this expression is 6th degree trinomial