The value of x is 7.5. The solution has been obtained by using the triangle similarity theorem.
What is triangle similarity theorem?
When two sides of a triangle are intersected by a segment that is parallel to one of the sides, the triangle that results is comparable to the original and the segment that splits the two sides it intersects is proportionate.
We are given two triangle, of which one side is parallel to the other side of the another triangle.
So, as per triangle similarity theorem, the other sides are proportional to each other.
Therefore, we get
⇒ \(\frac{4}{6}\) = \(\frac{3}{x-3}\)
Now, on solving the equation for x, we get
⇒ 4 (x - 3) = 3 * 6
⇒ 4x - 12 = 18
⇒ 4x = 30
⇒ x = 7.5
Hence, the value of x is 7.5.
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What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
Sixth grade
1.3 Equivalent tractions review
Type the missing number that makes these fractions equal:
?/10=14/20
Answer:
7
Step-by-step explanation:
A runner sprinted for 189 yards (yd). How many feet (ft) is this?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Ratios:
3 ft
1 yd
189 yd
1
1 yd
3 ft
1760 yd
1 mi
Al mi
1760 yd
1 ft
12 in
12 in
1 ft
ft yd
8
X
in
5
mi
Answer:
567 ft
Step-by-step explanation:
1 yd = 3 ft
1 yd is to 3 ft as 189 yd is to x ft
1/3 = 189/x
1 × x = 3 × 189
x = 567
567 ft
The dot plot below shows the numbers of years of experience of the teachers at City High School.
++
0 2 4 6 8 10 12 14 16 18 20
Years of Experience
Determine where a gap is present in the data set.
between 14 and 18 years
between 5 and 7 years
oooo
between 2 and 4 years
between 11 and 19 years
Submit
Reset
Answer: Between 14 and 18 years
Step-by-step explanation:
There are no dots in that area.
answer solve plz
4(2x - 1) = 8x - 4
Answer:
x = ∞ (Infinite solutions)
Step-by-step explanation:
\(4(2x-1)=8x-4\\\\8x-4=8x-4\\\\8x-4+4=8x-4+4\\\\8x=8x\\\\8x-8x=8x-8x\\\\\boxed{0=0}\)
Since both sides of the equation mirror each other, the equation has infinitely many solutions.
Hope this helps.
What do you need to do to a variable with a coefficient?
For example: 4n=20.
add
subtract
divide
multiply
Answer:
wouldnt it be 5
Step-by-step explanation:
the volume of a spherical balloon with radius 5.8cm is about 817cm cubed estimate the volume of a similar ballon with radius 29cm
The estimated volume of the larger balloon is approximately 1.02 x 10⁵ cm³.
If two objects are similar, it means they have the same shape but different sizes. In this case, we have two spherical balloons that are similar. We can use the fact that the volumes of two similar objects are proportional to the cubes of their corresponding dimensions.
Let's denote the volume of the smaller balloon as V1 and its radius as r1. Similarly, let V2 and r2 be the volume and radius of the larger balloon. We are given that V1 = 817 cm³ and r1 = 5.8 cm.
We can set up a proportion between the volumes of the two balloons:
V1/V2 = (r1/r2)³
Solving for V2, we get:
V2 = V1 / (r1/r2)³
Substituting the given values, we get:
V2 = 817 cm³ / (5.8 cm / 29 cm)³
V2 ≈ 1.02 x 10⁵ cm³
Therefore, the estimated volume of the larger balloon is approximately 1.02 x 10⁵ cm³.
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Which expression is the correct translation of the following word phrase?
"the product of 8 and a number is equal to the number increased by 2"
The expression that represents the correct translation of the phrase is 8x = x + 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the unknown number, the product of 8 and a number is equal to the number increased by 2, hence:
8 * x = x + 2
8x = x + 2
The expression that represents the correct translation of the phrase is 8x = x + 2
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the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph
Using graphs,
The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.
What are graphs?A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."
Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.
Here in the question,
As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.
So, as per the question,
The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).
As, from the graph:
When noodles in pounds is 6, cost in dollars is 15.
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The complete question is:
the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph
The weights of water bottles are 2, 2.4, 2.25, 2.35, 1.95, 2.10, 2.15, 2.20. Findthe 75th percentile of the data.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given data
\(2,\:2.4,\:2.25,\:2.35,\:1.95,\:2.10,\:2.15,\:2.20.\)STEP 2: Arrange in ascending order
\(1.95,\:2,\:2.1,\:2.15,\:2.2,\:2.25,\:2.35,\:2.4\)STEP 3: find the 75th percentile
Hence, the 75th percentile is 2.325
PLEASE HELP!! WILL MARK YOU BRAINLIEST!!! LOTS OF LOVE!!! ♡♡
1) Andrea bought tacos from a food truck and left a 25% percent tip of $2.00
What was the price of Andrea's tacos, before tip?
2) Savanna had 40 iris blooms last year. This year, she had 15% more iris blooms.
How many more iris blooms did Savanna have this year?
1. Answer: The price of Andrea's tacos is $8.
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Tip amount: $2.0
Percentage: 25% = 0.25 (decimal form, 25/100=0.25)
So, if we multiply the taco's price (x) by the percentage (0.25) we will obtain the amount of the tip (2).
Mathematically speaking:
x (0.25) = 2
Solving for x
x = 2/0.25
x = 8
The price of Andrea's tacos is $8.
2. To solve this problem what you can do is the following rule of three:
40 iris blooms -----> 100%
x iris blooms -------> 115%
Clearing the value of x we have:
x = (115/100) * (40)
x = 46
Then, comparing with last year we have:
40-46 = 6
Answer:
Savanna had this year 6 more iris blooms than last year.
Please help! due in less than 10 mins. please !! thank you so much
What is y?
Answer:
180
Step-by-step explanation:
A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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please help with the question above
a) 1.515 is the distance in Angstrom between the two hydrogen atom.
b) 0.01515 mm is the value in millimetres of 1.515
What Armstrong unit?The angstrom is a metric length unit equal to 1010 m; that is, one ten-billionth (US) of a metre, one hundred-millionth of a centimetre, 0.1 nanometre, or 100 picometres. Its symbol is is a letter from the Swedish alphabet. The unit is named after Swedish physicist Anders Jonas Ångström.
As Both H atom is equidistance from O atom The triangles shown here is isosceles triangle, where two sides are equal
So, H0 = 0H = 0.958 Angstrom
And therefor Both angle of H = 37.75°
Now using the Law of Cosines for SAS triangles
c² = a² + b² - 2ab cos(c)
Here c is the distance of H and H atoms
c² = 0.958² + 0.958² - 2(0.958)(0.958) cos(104.5°)
c² = 1.835528 + 0.45958
c² =2.295108
c = √2.295108
c = 1.514961
Thus, 1.514961 is the distance in Angstrom between the two hydrogen atom.
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which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?
Answer: -5/7
Step-by-step explanation:
-11/28 = -0.39
-5/7 = -0.71
9/-14 = -0.64
29/-42 = -0.69
Out of these, -5/7 is the greatest rational number, even if they are all negative.
Hope this helps!
The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.
Which statements about the clock are accurate? Check all that apply.
The central angle measure when one hand points at 2 and the other points at 4 is 60°.
The circumference of the clock is about 19 in.
With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.
The minor arc measure when one hand points at 1 and the other hand points at 9 is 150°.
The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.
Answer:
a , c , e
Step-by-step explanation:
just took it ;)
The statements about the clock are accurate are;
The central angle measure when one hand points at 2 and the other points at 4 is 60°.With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.Why are the statement above correct?1. Note that the face of a clock is divided into 12 equal parts and the Angle of each part is= 30°
If one hand points at 2 and the other points at 4, then it is divided into two parts that is 2 to 3 and 3 to 4.
The angle that will be formed then will be = 2 (30) = 60°
So therefore option one is correct
111. When a person place one hand at 5 and the other hand at 10, then it is divided into 5 parts.
The angle that is formed= 30(5) = 150°.
Therefore, the arc length =(37.68) = 15.7.
So therefore, Option three is correct.
V. When the length of the minor arc ranges from 11 to 2, then this is divided is 3 parts.
So therefore, 3(30) = 90°
The minor arc is said to ranges from 7 to 10 and it is represented by 3(30) = 90°
So therefore option five is correct.
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Given that f(x) = 2000(1. 2) 5^x, Find
3. f(0)
4. f(2)
[9 x (10 - 2)] divided [2 + (5 x 2)]
Consider a population with a known standard deviation of 27.5. In order to compute an interval estimate for the population mean, a sample of 69 observations is drawn. [You may find it useful to reference the z table.]
a. Is the condition that X−X− is normally distributed satisfied?
Yes
No
b. Compute the margin of error at a 99% confidence level. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)
c. Compute the margin of error at a 99% confidence level based on a larger sample of 275 observations. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)
d. Which of the two margins of error will lead to a wider confidence interval?
99% confidence with n = 69.
99% confidence with n = 275.
The margin of error at a 99% confidence level is 8.36.
The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.
a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.
b. The margin of error at a 99% confidence level can be computed using the formula:
Margin of error = z* (sigma / sqrt(n))
where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.
The z-score for a 99% confidence level is 2.576 (from the z table).
Substituting the given values, we get:
Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36
c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:
Margin of error = z* (sigma / sqrt(n))
where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.
The z-score for a 99% confidence level is still 2.576 (from the z table).
Substituting the given values, we get:
Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14
d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.
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Kim read 3 books in 2 hours. She took the same amount of time to read the
first 2 books. She took 15 minutes longer to read the third book than the first
How many minutes did she take to read the third book?
Answer: Kim took 50 minutes to read the third book.
Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.
Which equation would best help solve the following problem?
The height of a triangle is 5 m less than its base. The area of the triangle is 42 m^2. What is the length of the base?
A.) 42 = x(x - 5)
B.) 42 = 1/2(x)(x - 5)
C.) 42 = x^2 - 5
D.) 42 = 1/2(x^2 - 5)
Answer:
B
Step-by-step explanation:
Find the greatest common divisor of the following polynomials over q, the field of rational numbers. (a)x3- 6x 7andx 4. (b)x2-1and2x7- 4x5 2.
(a) The greatest common divisor of \(x^3\) - 6x - 7 and \(x^4\) is 1.
(b) The greatest common divisor of \(x^2\)- 1 and 2\(x^7\) - 4x\(^5\) + 2 is 1.
(a) To find the greatest common divisor (GCD) of the polynomials, we can use polynomial long division.
Dividing \(x^3\) - 6x - 7 by \(x^4\), we get a remainder of \(x^3\) - 6x - 7.
Since the remainder is non-zero, the GCD of \(x^3\) - 6x - 7 and \(x^4\) is 1.
(b) To find the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2, we can again use polynomial long division.
Dividing 2\(x^7\) - 4\(x^5\) + 2 by \(x^2\) - 1, we get a remainder of 2\(x^5\) + 2.
Since the remainder is non-zero, the GCD of \(x^2\) - 1 and 2\(x^7\) - 4\(x^5\) + 2 is 1.
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Given square PQRS, determine the missing information.
P
R
4 cm
1
S
X =
y=
Ox= 4y = 4
Ox + 4y = 2 sqrt(2)
x = 4y = 4 sqrt(2)
x = 4y - 8 sqrt(2)
The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.
Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.
The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).
The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.
The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).
Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).
Therefore, the missing information is x = 4y = 4 √(2) and y = 4.
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Jasmine sleeps for an average of 6 hours each day. If Jasmine sleeps for 1/3 amount of time
that her cat sleeps each day, which of the following equations can be used to find a, the number
of hours Jasmine's cat sleeps each day?
Answer:
a/3 = 6
Step-by-step explanation:
i don't see any equations to choose from
however, if 'a' represents the number of hours the cat sleeps then this equation would work:
1/3a = 6
or a/3 = 6
in this case, 'a' would equal 18
A shark swims at a constant rate of 25 miles per hour. If h represents the number of hours, and m represents the total number of miles the shark swims, which equation correctly represents the relationship?
What to do when stuck in the friend zone by your crush and your friend already asked him out for you?
Simplify: 3.2/0.4 •2• 0.4/0.1
option 1) 64
option 2) 16
option 3) 6.4
option 4) 1.6
Answer:
1
Step-by-step explanation:
3.2/0.4=8
8×2=16
16×0.4=6.4
6.4÷0.1=64
Consider xy + xy +2y=0. Find one solution about the regular singular point x=0 that corresponds to the larger root of the indicial equation. STATE THE RECURRENCE RELATION.
The solution about the regular singular point x = 0 that corresponds to the larger root of the indicial equation is given by y(x) = x^√2 * Σ_(n=0)^(∞) a_n * x^n, where the coefficients a_n satisfy the recurrence relation a_n * (n + √2)^2 + 2 * a_n = 0.
The given differential equation xy + xy + 2y = 0 can be solved near the regular singular point x = 0. To find a solution corresponding to the larger root of the indicial equation, we assume a solution of the form y(x) = x^r * Σ_(n=0)^(∞) a_n * x^n. By substituting this form into the differential equation and equating coefficients of like powers of x, we can find the recurrence relation for the coefficients.
Let's substitute the assumed solution y(x) = x^r * Σ_(n=0)^(∞) a_n * x^n into the differential equation. We have (x^r * Σ_(n=0)^(∞) a_n * x^n) + (x^(r+1) * Σ_(n=0)^(∞) a_n * x^n) + 2(x^r * Σ_(n=0)^(∞) a_n * x^n) = 0.
Simplifying this equation, we get Σ_(n=0)^(∞) (a_n + a_n * (n + r + 1) + 2 * a_n) * x^(n + r) = 0.
To ensure that the above equation holds for all values of x, the coefficients of x^(n + r) must be zero. This leads to the following recurrence relation: a_n * (n + r)^2 + 2 * a_n = 0.
Since we are looking for a solution corresponding to the larger root of the indicial equation, we set the coefficient of the highest power of x, a_0, to zero. This gives (r^2 + 2) * a_0 = 0. From this equation, we find that r = √2.
Therefore, the solution about the regular singular point x = 0 that corresponds to the larger root of the indicial equation is given by y(x) = x^√2 * Σ_(n=0)^(∞) a_n * x^n, where the coefficients a_n satisfy the recurrence relation a_n * (n + √2)^2 + 2 * a_n = 0.
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some help a homie out in math
Answer:
1. A pentagonal Pyramid
2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now
If the scale of a map is 1 cm : 2500m . The distance between two places in real field is 15 km . What is the distance between the places in map?
Answer:
To find out actual distance on earth, we need to measure scale. The scale is 1cm to 15 km. Thus, 10 cm on map is equal to ( 10*15) = 150 km on earth. Thus, actual distance on earth is 150 km.