Hi there!
This is the way to solve this one-step equation:
5x=50
We divide both sides by 5 to isolate x:
x=10
Therefore, x=10. Hope it helps.
~GracefulGirlie
Good luck on your assignment.
In the diagram below, AB = BC, and mZA = 69º. Find mZBCD.
Answer:
∠ BCD = 111°
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the 2 base angles are congruent.
∠ ACB = ∠ A = 69°
∠ ACB and ∠ BCD are adjacent angles and sum to 180° , that is
∠ BCD + ∠ ACB = 180°
∠ BCD + 69° = 180° ( subtract 69° from both sides )
∠ BCD = 111°
A tree in David’s backyard grows 0.3 meters each month. If the tree is 2.55 meters tall, for how many months has the tree been growing?
Answer:
8.5 months
Step-by-step explanation:
2.55/0.3=8.5
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units left.
help please
Answer:
translated down 7 units
Step-by-step explanation:
whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right
7 (m+5) = 21
as a step by step problem?
Answer:
m=-2
Step-by-step explanation:
You want to isolate the variable on one side (m).
Divide each side by 7.
m+5=3
Subtract 5 from both sides
m=-2
Answer:
m = -2.
Step-by-step explanation:
First divide both sides by 7; m + 5 = 3.
Then subtract 5 from both sides; m = -2.
PLS HELP>>>look at pic
Answer:
3x + 2 >= 0
Step-by-step explanation:
Since this is a 4th root, not a cubic root, the radical can only contain 0 or positive numbers. Therefore there is 3x + 2 >= 0.
Fill in the blanks.The number of cycles per second of a point in simple harmonic motion is its _______.
In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:
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The student added some iodine solution to the water in the test-tube. After 30 minutes at room temperature, the contents of the Visking bag were stained blue-black, but the water outside remained a yellow colour.
(a) explain these results
The results can be explained by the process of diffusion. The water outside the Visking bag remained a yellow color because the diffusion process was slower for iodine particles.
So as to move from the higher concentration outside the bag to the lower concentration inside the bag. First, iodine solution was added to the water in the test-tube. Iodine is a solute and the water is the solvent.
During the 30 minutes, diffusion occurred, which is the movement of particles from an area of higher concentration to an area of lower concentration. In this case, the iodine particles inside the Visking bag diffused through the membrane into the surrounding water. This caused the water inside the Visking bag to turn blue-black as it became saturated with iodine.
However, the water outside the Visking bag remained a yellow color because the diffusion process was slower for iodine particles to move from the higher concentration outside the bag to the lower concentration inside the bag.
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A uniform distribution is defined over the interval from 2 to 5.
What is the range of the random variable, x?
Over the range, what is the probability of the random variable, x?
What is the area of this uniform distribution?
The probability of x within this range is constant and equal to 1/3. The area under the uniform distribution curve is 1.
The range of the random variable, x, in a uniform distribution from 2 to 5 is [2, 5]. It represents the entire interval of possible values for x.
The probability of the random variable, x, in a uniform distribution is constant over the range. Since it is a uniform distribution, the probability density function is equal for all values within the range. Therefore, the probability of x taking any specific value within the range [2, 5] is the same, and it is given by 1 divided by the length of the range:
Probability of x = 1 / (length of range)
= \(P(x) = \frac{1}{5 - 2} = \frac{1}{3}\)
The area of the uniform distribution is represented by the probability density function over the range. Since it is a uniform distribution, the probability density is constant within the range. Therefore, the area under the curve is equal to the length of the range multiplied by the constant probability density:
Area = (length of range) * (probability density) = (5 - 2) * (1 / (5 - 2)) = 3 * (1 / 3) = 1.
Hence, the area of the uniform distribution is 1.
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3. Find the value of x.
4x x+5 2x - 1
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
rights answers only:)
The measure of angle 6 is 38°.
What are vertically opposite angles?
Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.
When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.
We know that, if two lies are parallel and a transversal cuts the lines.
then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.
similarly, In the give figure,
we ca see that angle 6 ad angle 38 are vertically opposites angle.
so, angle 6 = 38°
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Simplify the attached question
Answer:
12x²
Step-by-step explanation:
Check the attachment for steps.
I really need help if somebody could explain this into detail and show me how would really appreciate it please
Answer: y = (5x)^2
Step-by-step explanation: You're finding the inverse.
f(x) = \(\sqrt{x}\)/5 --> y = \(\sqrt{x}\)/5 (they mean the same thing)x = \(\sqrt{y}\)/5 (switch x and y)5x = \(\sqrt{y}\) (multiple both sides by 5)(5x)^2 = y (square both sides) --> the first answer choiceThe San Francisco Chronicle reported on a survey of top high-school students in the U.S. According to the survey, Cheating is pervasive. Nearly 80 percent admitted some dishonesty, such as copying someone's homework or last spring to 5,000 of the nearly 700,000 high achievers included in the 1993 edition of Who's Who Among American High School Students. The results were based on the 1,957 completed surveys that were returned. "The sur- vey does not pretend to be representative of all teenagers," said Who's Who spokesman Andrew Weinstein. "Students are listed in Who's Who if they are nominated by their teachers or guidance counselors. Ninety-eight percent of them go on to college." cheating on an exam. The survey was sent (a) Why isn't the survey "representative of all teenagers"? (b) Is the survey representative "of the nearly 700,000 high achievers included in the 1993 edition of Who's Who Among American High School Students"? Answer yes or no, and explain briefly.
) The survey is not representative of all teenagers because the sample only includes high achievers listed in the 1993 edition of Who's Who Among American High School Students, who were nominated by their teachers or guidance counselors. It does not include a random sample of
teenagers.
No, the survey is not
representative
of the nearly 700,000 high achievers included in the 1993 edition of Who's Who Among American High School Students. The survey was only based on the 1,957 completed surveys that were returned, which may not accurately represent the entire population of high achievers.
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The joint probability density function of a pair continuous random variables X and Y is given by f(x,y)={ 1
0
for 0
elsewhere
(a) Find P(X≤0.75,Y≤0.25) (4 points) (b) Find the marginal densities of X and Y, respectively. (6 points) (c) Are X and Y independent? (Justify your answer) (4 points)
(a) P(X ≤ 0.75, Y ≤ 0.25) = 1.875. (b) Marginal densities: fX(x) = 10, fY(y) = 10. (c) X and Y are independent.
To solve this problem, we'll need to integrate the joint probability density function (PDF) over the given ranges and then calculate the marginal densities and independence. Let's go step by step:
(a) Find P(X ≤ 0.75, Y ≤ 0.25):
To find this probability, we need to integrate the joint PDF over the given ranges.
P(X ≤ 0.75, Y ≤ 0.25) = ∫∫f(x,y) dy dx
Since the joint PDF is constant over its support, the integral becomes:
P(X ≤ 0.75, Y ≤ 0.25) = ∫[0,0.25]∫[0,0.75] 10 dy dx
Performing the integration:
P(X ≤ 0.75, Y ≤ 0.25) = ∫[0,0.25] [10y]_[0,0.75] dx
= ∫[0,0.25] 7.5 dx
= [7.5x]_[0,0.25]
= 7.5 * 0.25
= 1.875
Therefore, P(X ≤ 0.75, Y ≤ 0.25) = 1.875.
(b) Find the marginal densities of X and Y, respectively:
To find the marginal density of X, we integrate the joint PDF over the range of Y, and for Y, we integrate over the range of X.
Marginal density of X (fX(x)) = ∫f(x,y) dy
= ∫[0,∞] 10 dy
= 10 * y |_[0,∞]
= 10 * (∞ - 0)
= 10
Hence, the marginal density of X is fX(x) = 10.
Marginal density of Y (fY(y)) = ∫f(x,y) dx
= ∫[0,∞] 10 dx
= 10 * x |_[0,∞]
= 10 * (∞ - 0)
= 10
Thus, the marginal density of Y is fY(y) = 10.
(c) Are X and Y independent? (Justify your answer):
To determine whether X and Y are independent, we need to check if the joint PDF can be expressed as the product of the marginal densities.
f(x, y) = fX(x) * fY(y)
Substituting the given marginal densities:
10 = 10 * 10
Since the equation holds true, we can conclude that X and Y are independent random variables.
Therefore, X and Y are independent.
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a researcher records the average age for a group of 25 preschool children selected to participate in a research study. the average age is an example of a statistic.
Statistics is the branch of mathematics that deals with collecting, analyzing, and interpreting data. A statistic is a numerical value that represents a property of a sample of data. A statistic is used to estimate an unknown parameter in a population.
An example of a statistic is the average age of a group of preschool children selected to participate in a research study. The average age is calculated by summing the ages of all the children in the group and dividing by the total number of children. The result is a single number that represents the average age of the group. The use of statistics is essential in research studies, as it helps to make sense of the data collected.
The population from a sample of data. Statistics also helps to identify patterns, trends, and relationships in the data. The average age of a group of 25 preschool children selected to participate in a research study is an example of a statistic.
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#1: Find the slope of the line shown below.
Answer:
-3/4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
-3/4
Step-by-step explanation:
please find the answer to this question
help help helpppppppp
Answer: 6
Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)
Which expression is equivalent to 1/2a-4
Therefore, a - 9/2 is equivalent to a - 4 1/2.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a value or result. Expressions can be simple or complex and can involve various operations such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Expressions are often used to represent mathematical relationships, formulas, or models in a concise and structured way. They can also be used to solve problems, simplify complex calculations, or manipulate mathematical quantities.
An expression that is equivalent to a - 4 1/2 is:
a - 9/2
To see why, you can simplify a - 4 1/2 as follows:
a - 4 1/2
= a - (8/2 + 1/2)
= a - 9/2
Therefore, a - 9/2 is equivalent to a - 4 1/2.
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Pls help! thank you! **will crown branliest**
what is the first 5 terms of the sequence with a pattern of an = n2 + 4?
Answer:
5, 8, 13, 20, 29
Step-by-step explanation:
\(a_n = n^2 +4\\
Plug \: n = 1, \:2, \:3,\: 4, \:5\\
a_1 = 1^2 +4=1+4 =5\\
a_2 = 2^2 +4=4+4 =8\\
a_3= 3^2 +4=9+4 =13\\
a_4= 4^2 +4=16+4 =20\\
a_5= 5^2 +4=25+4 =29\\\)
.................................................................................??
Answer:
see picture I have marked with red
Answer:
It looks like number ,ber 4
SOMEONE PLEASE DO PROBLEM “B” I HAVE NO IDEA WHAT IT MEANS!! (I will give 20 points!!) CHECK THE IMAGE ABOVE FOR THE PROBLEM
DO NOT ANSWER IF YOU DONT KNOW. (I will report).
PLEASE I HAVE TO TURN IT IN 25 minutes!!
Answer:
Point of Intersection (-2,3)
Step-by-step explanation:
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
Sending this a second time, (if you have anything other than an answer I will report)
Answer:
a
Step-by-step explanation:
Move 6 to the right by subtracting 6 to both sides of <
7x<4x+18
Now move 4x to the left by subtracting 4x to both sides of <
3x<18
Now divide 3 by both sides of < to solve for x
x<6
Is the function represented by the table linear?
x
y
10
–6
11
1
12
6
13
12
The function is not linear because the rate of change in not constant.
What is Linear Function?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
Given:
x y
10 -6
11 1
12 6
13 12
So, the rate of Change
= 10/ (-6)
= -5/2
and, again = 11/1 = 11
As, the rate of change is not constant.
But, in linear function the rate of change is same.
Hence, the function is not linear.
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Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
I swear I get so confused with these-
Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
50 x 1.5 = 75
the only data value that is 75 points from the IQR is 125
What is 2.5x X 12.5p????????????????
Answer:
31.25xp
Step-by-step explanation:
Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9
Answer:
Step-by-step explanation:
The system of equations is:
x^2 = y
x^2 + y^2 = 9
Substituting the first equation into the second, we get:
x^2 + (x^2)^2 = 9
x^4 + x^2 - 9 = 0
Using the quadratic formula, we can solve for x^2:
x^2 = (-1 ± sqrt(37))/2
Taking the positive root, we get:
x^2 = (-1 + sqrt(37))/2
Substituting this back into the first equation, we get:
y = (-1 + sqrt(37))/2
So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)
Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).
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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9
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Locate √13 √17 on number line. (Please step by step explanation or preferably done in notebook) I’ll mark brainless the best answer
Explanation:
Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.
Numbers provided:
√13 = 3.605551275 ≈ 3.61
√17 = 4.123105625 ≈ 4.12
Step by Step Solving:
The number 3.61 will be between 3.5 and 3.7The number 4.12 will be between 4 and 4.2Plot the points (circled area's):