Answer:
y = 1
Step-by-step explanation:
Apply the distributive property
10y + 4 = 14
Subtract to isolate the variable.
10y = 10
Divide both sides by the variable term.
y = 1
~theLocoCoco
Triangle Theorem ( sss, sas, asa )
Answer:
A.) SSS
B.) HL
C.) SAS
Identify 4 of the common features of sustainable design. please briefly explain each feature.
Answer:
Maps show height in a number of different ways: Spot heights and triangulation pillars This map extract shows exact heights by a black dot with a number next to it
Step-by-step explanation:
Just the first 3 please. Will give brainliest. (Easy)
Answer:
1.) 81
2.) 1/4
3.) 2.25
Step-by-step explanation:
divide in half then square it
Answer:
wut
Step-by-step explanation:
dat dont like like english
At the tri-county track meet Jada won the 100 meter race in 12 9/10 seconds. The runner up finished in 13 1/10 seconds how many seconds faster was Jada then the funner up?
We have
\(\begin{gathered} 12\text{ }\frac{9}{10}\text{ = 12+}\frac{9}{10}\text{ = }\frac{120}{10}+\frac{9}{10}=\frac{129}{10} \\ 13\text{ }\frac{1}{10}=13+\frac{1}{10}=\frac{130}{10}+\frac{1}{10}=\frac{131}{10} \end{gathered}\)Then, the diference is
\(\frac{131}{10}-\frac{129}{10}=\frac{2}{10}=\frac{1}{5}\)So, Jada was 1/5 seconds faster than the second place.
What explicit formula for geometric sequence calculator?
The explicit formula for geometric sequence calculator is n = a 1 + r^(n-1) (n-1)
We can easily determine the value of any term in the sequence using the formula once you have those values.
where:
The sequence's nth word is a n.
The first term in the series is a 1.
The frequency of successive terms is expressed as r.
The sequence's length, n, is given.
The values of a 1, r, and n must be known in order to use this algorithm as a geometric sequence calculator. You can easily determine the value of any term in the sequence using the formula once you have those values.
Therefore, the explicit formula for geometric sequence calculator is n = a 1 + r^(n-1) (n-1).
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solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
Bicycles in the late 1800s looked very different than they do today. how many rotations does each tire make after traveling 600 feet? round your answers to the nearest whole number. the small tire would make about rotations. the large tire would make about rotations.
So, the number of rotations for each tire after traveling 600 feet is 600 / 4.71 = 128 rotations.
To calculate the number of rotations, we first need to convert the tire diameter from inches to feet.
The tire diameter is 18 inches, which is equivalent to 18 / 12 = 1.5 feet.
To find the number of rotations, we divide the total distance traveled by the circumference of the tire. The circumference of a tire with diameter 1.5 feet is equal to π x 1.5 = 4.71 feet.
Rounding to the nearest whole number, the number of rotations for each tire after traveling 600 feet is 128 rotations.
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Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work.
Using proportions, it is found that 7% of the population has blue eyes without blonde hair.
10% of the population has blue eyes. These 10% are composed by:
75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)Hence, the relation according to the proportion of 10% is:
\(0.75(0.04) + 0.96x = 0.1\)
\(x = \frac{0.1 - 0.75(0.04)}{0.96}\)
\(x = 0.0729\)
Out of the entire population:
0.0729(0.96) = 0.07
7% of the population has blue eyes without blonde hair.
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what is the coefficient of (3y^2 + 9)5
The coefficient of (3y² + 9)5 is 15.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is 15.
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Which statement describes when the plans are based on the same number of aerobic exercise sessions?
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
From the statements that are provided in the question, the statement that best describes when the plans is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
What is word problem?A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.
Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement
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What is the value of 4 + f + 7) when f = 5?
A. -8
B. 2
C. 6
D. 16
Answer:Therefore, the answer is D. 16.
Step-by-step explanation:
The expression 4 + (f + 7) simplifies to 11 + f. When f = 5, the value of the expression is:
11 + 5 = 16
Therefore, the answer is D. 16.
??? HELP im confused
Answer:
a=3
Step-by-step explanation:
the sum of anterior angle of a triangle is =180
57+81+14a=180
138+14a=180
42=14a
42/14=14a/14
3=a
therefore a=3.
please mark me the brainliest.
Wayne measured a neighborhood park and made a scale drawing the scale he used was 1 centimeter:4 meters,the volleyball court was 2 centimeters wide in the drawing .how wide is the actual volleyball court
The actual width of volleyball court is 8 meters.
Given that, the scale he used was 1 centimeter:4 meters.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Here, the volleyball court was 2 centimeters wide in the drawing.
Width = 2×4
= 8 meters
Therefore, the actual width of volleyball court is 8 meters.
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how do you write the number for four million seven hundred thousand.
Step-by-step explanation:
four million seven hundred thousand can be written by
4,700,000
Suppose the 95% confidence interval for the difference in population proportions p1- p2 is between 0.1 and 0.18 a. None of the other options is correct b. The p-value for testing the claim there is a relationship between the quantitative variables would be more than 2 c. The p-value for testing the claim there is a relationship between the categorical variables would be less than 0.05 d. There is strong evidence of non linear relationship between the quantitative variables
Option b is correct. The p-value for testing the claim there is a relationship between the quantitative variables would be more than 2.
Given that the 95% confidence interval for the difference in population proportions p1- p2 is between 0.1 and 0.18. Therefore, the option (a) None of the other options is correct is not correct.p-value: The p-value is the probability of observing a test statistic as extreme as or more than the observed value under the null hypothesis. The p-value is used to determine the statistical significance of the test statistic. A small p-value indicates that the observed statistic is unlikely to have arisen by chance and therefore supports the alternative hypothesis.a. False because the 95% confidence interval for the difference in population proportions p1- p2 is given. The confidence interval is used to determine the true population proportion. Thus, the option "None of the other options is correct" is incorrect.
b. True because the p-value for testing the claim that there is a relationship between quantitative variables would be more than 0.05 if the confidence interval for the difference in population proportions p1- p2 contains zero. Thus, option b is correct.
c. False because the p-value for testing the claim that there is a relationship between categorical variables would be less than 0.05 if the confidence interval for the difference in population proportions p1- p2 does not contain zero. Therefore, the option (c) The p-value for testing the claim there is a relationship between the categorical variables would be less than 0.05 is not correct.
d. False because the confidence interval only shows the range of the estimated proportion difference. It doesn't tell us anything about the relationship between quantitative variables. Therefore, option d is not correct.
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what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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Here are the first four terms in a sequence.
1/2, 4/3, 9/4 and 16/8
Find the nth term of this sequence.
Answer:
\(\dfrac{n^2}{n+1}\)
Step-by-step explanation:
Let's break this apart by numerator (N) and denominator (D) and see if we can spot a pattern:
1st term: N = 1, D = 22nd term: N = 4, D = 33rd term: N = 9, D = 44th term: N = 16, D = 5Don't see it? Let's write it another way:
1st: N = 1², D = 1 + 12nd: N = 2², D = 2 + 13rd: N = 3², D = 3 + 14th: N = 4², D = 4 + 1The numerator always seems to be the number of the term squared, while the denominator is the number of the term plus 1. Putting things back in fraction form, we can say that
nth term: \(\frac{n^2}{n+1}\)38- Blank:_____=12c+4+3c
Answer:
38-15c-4
Step-by-step explanation:
38-x=12c+4+3c
38-x=15c+4
x=38-15c-4
In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16. what is the mean for this sample?
The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.
Then the data set will be given below.
10, 10, 10, 10, 10, 16
Then the mean of the data set will be
Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6
Mean = 66/6
Mean = 11
Thus, the mean of the sample will be 11.
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the probability that kendra will win a card game is 23. if kendra plays 7 games what is the probability that she wins exactly 4 games?
The probability that Kendra wins exactly 4 games when she plays 7 games is 64,798,11535.
The probability that Kendra will win a card game is 23. If Kendra plays 7 games
Probability of an event is given by:
P(event) = favorable outcomes / total outcomes
We are given that the probability of Kendra winning a card game is 23.
Thus, the probability of her losing a card game is:
P(Kendra loses) = 1 - P(Kendra wins)= 1 - 23= 13
Now, we need to find the probability that Kendra wins exactly 4 games when she plays 7 games. This can be done using the binomial probability formula which is given by:
\(P(x=k) = nCk × p^k × (1-p)^(n-k)\)
Here, n = 7 as Kendra plays 7 games, k = 4 as she wins exactly 4 games, p = 23 as this is the probability of her winning a card game and 1-p = 13 as this is the probability of her losing a card game.
\(P(x = 4) = 7C4 × 23^4 × 13^3= 35 × 24649 × 2197= 64,798,11535\)
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if we compute a 95onfidence interval 12.65 ≤ μ ≤ 25.65 , then we can conclude that.
Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.
Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.
The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.
Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.
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Find P(B) if P(A) = 0.4, P(BIA) = 0.3
P(AUB)=0.6
To find P(B) given P(A) = 0.4, P(B|A) = 0.3, and P(A U B) = 0.6, we can use the formula for conditional probability.
The calculation involves using the formula P(A U B) = P(A) + P(B) - P(A ∩ B), where P(A U B) represents the probability of the union of events A and B, and P(A ∩ B) represents the probability of the intersection of events A and B.
First, we know that P(A U B) = 0.6 and P(A) = 0.4. Rearranging the formula, we get P(A ∩ B) = P(A) + P(B) - P(A U B).
Substituting the given values, we have 0.6 = 0.4 + P(B) - P(A ∩ B).
Simplifying the equation, we can isolate P(B) by subtracting 0.4 from both sides: P(B) = 0.6 - 0.4 + P(A ∩ B).
Therefore, the probability of event B, denoted as P(B), depends on the value of P(A ∩ B) and cannot be determined with the given information.
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Determine if the parallel lines in each pair are distinct or
coincident.
a) [x, y, z] = [5, 1, 3] + s[2, 1, 7]
[x, y, z] = [2, 3, 9] + t [2, 1, 7]
b) [x, y, z] = [4, 1, 0] + s[3, -5, 6]
[x, y, z] = [1
The given parallel lines intersect at the point (-4, -1, 1). Therefore, they are not coincident, they are distinct. b) The given parallel lines are distinct.
a) We have to check whether the given parallel lines intersect or not. If they do not intersect then they are distinct, and if they intersect then they are coincident. Let's set the x-, y-, and z- coordinates of the two lines equal and solve for s and t. [x, y, z] = [5, 1, 3] + s[2, 1, 7] [x, y, z] = [2, 3, 9] + t [2, 1, 7]x = 5 + 2s = 2 + 2ty = 1 + s = 3 + ty = -2 - 6s = 1 + 7t.
The two lines are not coincident, they are distinct because they intersect at the point (-4, -1, 1).b) [x, y, z] = [4, 1, 0] + s[3, -5, 6] [x, y, z] = [1, 6, 6] + t[3, -5, 6]Let's set the x-, y-, and z- coordinates of the two lines equal and solve for s and t. [x, y, z] = [4, 1, 0] + s[3, -5, 6] [x, y, z] = [1, 6, 6] + t[3, -5, 6]x = 4 + 3s = 1 + 3ty = 1 - 5s = 6 - 5t4s = -3 + 5t.The two lines are not coincident, they are distinct.
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 A small square field has an area of 4900 square feet. What is the measure of each side of the field?
Answer:
700
Step-by-step explanation:
A=hxw
A square has all equal sides
700×700=4900
A rectangle has an area of 16 cm2 do you know its length
HELP
Answer:
This answer is based on that I don't know what that 2 is for
Step-by-step explanation:
There are many different answers for this question
Area is l times w so 4 times 4 = 16 the lengths could be 4
If one of the sides is 2 then the length must be 8 because 8 times 2 is 16
5 scapulae (3 right and 2 left)
Axillary is 3 skulls.The remainder goes to the appendix.
Which of the bones in the collection belong to the axial skeleton?The bones could potentially represent up to 22 different people.This is due to the possibility that each bone comes from a different person.
There were only 3 skulls, leading some to first believe there would only be 3 persons. However, there were 4 right femurs, indicating that there is a missing skull to correspond with one of the right femurs.
In light of this, you can only conclude, until further proof, that each bone belongs to a different person.
Axillary =3 skulls.
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I need to convert 35° into radian pls help.
Answer:
\(35\cdot\frac{\pi}{180}=\frac{7}{36}\pi\approx0.611\)Step-by-step explanation:
To convert degrees to radians, we can use the following formula:
\(\text{degrees}\cdot\frac{\pi}{180}=\text{radians}\)Then, for 35 degrees:
\(35\cdot\frac{\pi}{180}=\frac{7}{36}\pi\approx0.611\)Question 1 3 pts Isis has 4.8 m of ribbon for crafts. She wants to share it evenly with 12 friends. How many centimeters of ribbon would 5 friends get?
We will investigate the equal distribution of ribbon amoung her friends.
Isis has a ribbon for crafts for a certain length ( L ):
\(L\text{ = 4.8 m}\)Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:
\(n\text{ = 12}\)Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:
\(\begin{gathered} l\text{ = }\frac{L}{n} \\ \\ l\text{ = }\frac{4.8}{12} \\ \\ l\text{ = 0.4 m or 40 cm} \end{gathered}\)So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):
\(\begin{gathered} 5\text{ friends got = 5 }\cdot\text{ l} \\ 5\text{ friends got = 5 }\cdot\text{ 40} \\ 5\text{ friends got = }200\text{ cm} \end{gathered}\)Therefore, the answer to the question is:
\(200\text{ cm}\)In a survey of a group of men, the heights in the 20−29 age group were normally distributed, with a mean of 67.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant selected at random is less than 67 inches tall is . (Round to four decimal places as needed.)
The probability that a study participant has a height less than 67 inches can be calculated using the standard normal distribution.
We need to find the area under the normal curve to the left of 67 inches, which represents the probability of having a height less than 67 inches.
To calculate this probability, we can standardize the value of 67 inches using the formula:
Z = (X - μ) / σ
where Z is the standardized value, X is the given value (67 inches), μ is the mean (67.9 inches), and σ is the standard deviation (3.0 inches).
Substituting the values into the formula:
Z = (67 - 67.9) / 3.0
Z ≈ -0.30
Using a standard normal distribution table or a calculator, we can find the corresponding probability for Z = -0.30.
The probability that the study participant selected at random is less than 67 inches tall is approximately 0.3821 (rounded to four decimal places).
Therefore, the probability that a study participant has a height less than 67 inches is approximately 0.3821.
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Determine whether a triangle with the given side lengths is a right triangle.
3,9,10 >>> not a right triangle. because 3^2 + 9^2 is not equal to 10^2
27, 36, 45 >>> yes, a right triangle bc 27^2 + 36^2 = 45^2
11,13,17 >>>
11^2 + 13^2 = 290
The sqrt of 290 = 17.0293863659.
If you are in the lower grades, probably your teacher expects you to round this to 17. I honestly don't know how to answer bc I don't know what your teacher's expectations are for rounding.
I am a precise person, but I could see a teacher accepting YES RIGHT TRIANGLE bc it's basically 17.
4, 8, 9 >>> NOT a right triangle.
4^2 + 8^2 = 80
The sqrt of 80 = 8.94427191
I would say NO because this does not equal 9!