There are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.
What are the family of vertical asymptotes of the tangent function?
Tangent function is a kind of trigonometric function, that is, a kind of transcendent function. This function has a period of π radians and for f(x) = tan x, the vertical asymptotes are contained in the points:
x = 0.5π + i · 2π, where i is an integer.
Hence, there are two vertical asymptotes at angles of 0.5π radians and 1.5π radians and it occurs every π radians.
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What are the solutions to the quadratic equation (round to nearest hundredth) x2 + 6x
-6 = 0 ?
Answer:
x = 0.88 OR x = -6.88
Step-by-step explanation:
Given the quadratic equation: \(x^{2}\) + 6x - 6 = 0
Applying the quadratic formula to determine the solutions, we have:
x = (-b ± \(\sqrt{b^{2} - 4ac}\)) / 2a
where; a = 1, b = 6 and c = -6
x = ( -6 ± \(\sqrt{6^{2} -4 (1 * -6) }\)) / 2
= ( -6 ± \(\sqrt{36 + 24}\)) / 2
= (-6 ± \(\sqrt{60}\)) / 2
x = (-6 ± 7.75) / 2
So that,
x = (-6 + 7.75) / 2 OR x = (-6 - 7.75) / 2
x = \(\frac{1.75}{2}\) OR \(\frac{-13.75}{2}\)
x = 0.88 OR -6.88
Thus, the solutions are: x = 0.88 OR x = -6.88
11) A bag contains five yellow jerseys
numbered one to five. The bag also
contains three purple jerseys numbered
one to three. You randomly pick a jersey.
It is purple or has an odd number.
The probability that the It is purple or has an odd number is 1.045.
According to the statement
We have to find that the probability of the given condition.
So, For this purpose, we know that the
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
From the given information:
five yellow jerseys numbered one to five and three purple jerseys numbered one to three.
The probability that the It is purple or has an odd number.
Then
Probability = 3/8 + 2/3
Probability = 0.375 + 0.67
Probability = 1.045.
So, The probability that the It is purple or has an odd number is 1.045.
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What is JK flip-flop and its truth table?
In the JK Flip-Flop truth table, when both inputs of the JK Flip-Flop are set to 1 and the clock input is also set to "High," the circuit is toggled from the SET to the RESET state.
Similar in operation to the SR flip flop is the JK flip flop. The JK flip flop is marked with the letters "J" and "K" rather than "S" and "R." When both inputs are set to 1, SR flip flips yield incorrect states as outputs, while JK flip flops do not, even when both "J" and "K" flip flops are set to 1. The only distinction between JK and SR flip flops is this. The JK Flip Flop is an additional clock input circuitry-equipped gated SR flip-flop. The presence of a clock input circuit prevents the invalid or unlawful output situation from occurring when both inputs are set to 1. The JK flip-flop hence has four input combinations that are possible: 1, 0, "no change," "toggle," and With the exception of the clock input, the JK flip flop's symbol is identical to that of the SR bistable latch.
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what is 9/4 divided by 4
Answer:
.5625 is the answer.
Step-by-step explanation:
9 divided by 4 is 2.25.
2.25 divided by 4 is .5625
Have a good day. :)
Answer:
9/16 or 0,5625Step-by-step explanation:
what is 9/4 divided by 4
9/4 : 4 =
9/4 * 1/4 =
9/16
What is the length of the third side?
Answer:
8
Step-by-step explanation:
This is a right triangle.
Since it's a right triangle with given side lengths,
we can use Pythagoras theorem, a² + b² = c² (a and b legs, c is hypotenuse)
to calculate the missing side.
Let x represent the missing side:
\(( {2 \sqrt{41} )}^{2} = {10}^{2} + {x}^{2} \)
Calculate the square values\(164 = 100 + {x}^{2} \)
Subtract 100 from both sides\(64 = {x}^{2} \)
Find the root of the both sides\(8 = x\)
f (x)=3x-5 find f (2)
The value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1
What is a function?A function is a mathematical equation that shows the relationship between two variables.
How to find the value of the function?Given the function f(x) = 3x - 5, we desire to find f(2).
To find f(2), we substitute x = 2 into the equation. So, we have that
f(x) = 3x - 5. So substituting x = 2 into the equation, w ehave
f(2) = 3(2) - 5
f(2) = 6 - 5
f(2) = 1
So, the value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1
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-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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If 1 dozen = 12, then 5/10 of a dozen = ____
Answer:
If 1 dozen = 12, then
\(\small\sf{\quad\dfrac{5}{10} \: of \:a \: dozen }\)
\(: \implies\small\sf{\dfrac{5}{10} \: of \: 12 }\)
\(: \implies\small\sf{\dfrac{5}{10} \times 12 }\)
\(: \implies\small\sf{\dfrac{5 \times 12}{10}}\)
\(: \implies\small\sf{\dfrac{60}{10}}\)
\(: \implies\small\sf{\cancel{\dfrac{60}{10}}}\)
\(: \implies\small{\sf{6}}\)
∴ The answer is 6.
Answer:
It is 6
Easyyyyy
Hope it helps!! :)
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
80 ounces for $4 K= What is the price per ounce
Let's divide $4 by 80 ounces. The result of this operation is $0.05/ounce.
The answer is $0.05 per ounce.
the germination rate is the rate at which plants begin to grow after the seed is planted. a seed company claims that the germination rate for their seeds is 90 percent. concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. what are the
The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9
A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.
The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.
Complete Question:
The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.
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If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 12"
1 standard deviation = 8 inches. the answer is OPTION E
We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.
According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.
We can use this information to estimate the standard deviation as follows:
Range of heights = 7'0" - 5'0" = 2 feet
3 standard deviations = 2 feet
1 standard deviation = 2/3 feet
1 foot = 12 inches
Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches
So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.
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Complete question
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 8"
Which ratios is a rate
Answer:
I think its D
Step-by-step explanation:
Im not positively for sure. but i hope this helps you
can someone solve this, you don’t have to type an explanation, thank you.
The answer is D 62°
Step-by-step explanation:Equation:
4x-2=62
Solving for x:
4x-2+2=62+2
4x=64
4x/4=64/4
x=16
Plug 16 into the equation to see if the answer is correct:
4•16-2=62
4•16=64
64-2=62°
Hope this helped!
Express the ratio as a fraction in simplest form 18 oz to 3 cups
Answer:
6/1
Step-by-step explanation:
Both 18 and 3 can be divided by 3
18 divided by 3 = 6
3 divided by 3 = 1
So the ratio is 6 : 1
So the fraction is 6/1
Answer: 8 oz
Step-by-step explanation:
7. How much bleach would you use to prepare 1000 mL of a 1:32 solution?
1 : 32 = X : 1000
To prepare a 1000 mL of a 1:32 ratio bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.
To calculate the amount of bleach needed to make a 1000 mL solution, we can set up the following proportion:
1 part bleach / 32 parts water = X mL bleach / 1000 mL total solution
Cross-multiplying, we get:
32X = 1000
Solving for X, we get:
X = 1000 / 32 = 31.25 mL of bleach
Therefore, to prepare a 1000 mL 1:32 bleach solution, you would need to mix 31.25 mL of bleach with 968.75 mL of water.
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8.
A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?
A. $2.15; $2.83
B. $0.40; $5.13
C. $0.40; $1.08
D. $1.75; $2.15
Answer:
A. $2.15; $2.83
Step-by-step explanation:
2.83
c = 0.4. * 2.7 + 1.75
=> c = 2.83
4(2.7)+1.75
1.08+1.75=2.83
$2.83 is correct.
c=0.40(2.7)+1.75
c=1.08+1.75
c=2.83
Answer:
2.83 dollars
Step-by-step explanation:
Fixed charges made by the taxi company for a ride =
Additional charge for each mile travelled =
Hence equation for cost is given by
where m is thenumber of miles travelled.
To find out the charge for a 2.7 mile ride substitute m = 2.7
Total cost for 2.7 mile ride is 2.83 dollars
Answer: A
Step-by-step explanation:
how many different ways are there to select a group of 9 out of 10 people for a committee in which there are 9 distinct roles?
There are 120 ways to select a group of 9 out of 10 people for a committee in which there are 9 distinct roles.
To select a group of 9 out of 10 people for a committee in which there are 9 distinct roles, we can first choose any 9 people from the 10. This can be done in 10C9 = 120 ways. Once we have chosen the 9 people, we can then assign them to the 9 roles in any order. This means that there are 120 * 9! = 362,880 ways to select a group of 9 out of 10 people for a committee in which there are 9 distinct roles.
Here is another way to think about it. There are 9! = 362,880 ways to order the 9 people. However, since the roles are distinct, we need to divide this number by 9! to account for the fact that the order in which we assign the roles does not matter. This gives us 120 ways to select a group of 9 out of 10 people for a committee in which there are 9 distinct roles.
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Record 3 2/25 as a decimal. Please help!!!!!
Answer:
1.28 is the decimal form
Step-by-step explanation:
and 128/100 or 128% is the percentage for 32/25.
// have a great day //
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
In the school ECA club, 3/8 of the students chose chess. Of the students who chose chess, 4/5 also chose painting. If there are 40 students in the club, how many do both chess and painting.
Given:
Total number of students = 40
In the school ECA club, 3/8 of the students chose chess.
Of the students who chose chess, 4/5 also chose painting.
To find:
The number of student who chose both chess and painting.
Solution:
Total number of students = 40
3/8 of the students chose chess. So, number of students who chose chess is
\(\dfrac{3}{8}\times 40=15\)
Of the students who chose chess, 4/5 also chose painting. So, number of students who chose both chess and painting is
\(\dfrac{4}{5}\times 15=12\)
Therefore, 12 students chose both chess and painting.
In order to determine whether the differences between group means are statistically significant, ANOVA examines the differences between groups within groups between and within groups neither between nor within groups In a linear equation, the value of Y when X is 0 is called the slope.
In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.
In order to determine whether the differences between group means are statistically significant, ANOVA examines the differences between groups.
ANOVA, which stands for Analysis of Variance, is a statistical method used to compare the means of two or more groups.
It analyzes the variability between group means and within group variability to assess whether there are significant differences among the groups.
The main idea behind ANOVA is to compare the variation between groups with the variation within groups.
If the variation between groups is significantly larger than the variation within groups, it suggests that there are meaningful differences among the groups.
This implies that the differences between group means are statistically significant, indicating that the groups are not just randomly different.
ANOVA achieves this by calculating an F-statistic, which is the ratio of the variability between groups to the variability within groups.
If the F-statistic is large enough to exceed a critical value based on the chosen significance level, it indicates that the group means are significantly different.
Regarding the statement about a linear equation, it is incorrect.
In a linear equation, the value of Y when X is 0 is called the y-intercept, not the slope.
The slope refers to the rate of change of Y with respect to changes in X.
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Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together
Answer:
The number of seedlings the three boys planted together is 560 seedlings
Step-by-step explanation:
The possible information in the question are;
Percentage of the seedlings planted by Ali = 40%
Percentage of the seedling planted by Ben = 45%
The percentage of the seedling planted by Cliff = The rest of the seedling
The number of seedling planted by Cliff = 84 siblings
Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Given that Cliff planted 15% of the seedlings, we have;
15% of seedlings Cliff planted = 84
Let X = the total number of seedlings
15/100 × X = 0.15×X = 84
X = 84/0.15 = 560
The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.
In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week,140 more people went to the pool than in the second week. In the fourth week, 146 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
there was a total of 954 people at the pool
Step-by-step explanation:
Answer: 246
Step-by-step explanation:
Please help! I need help with this question!
Explanation:
The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:
∆BCA ≅ ∆ECD
BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)
if there are 2 boards on a shelf one is 234 in the other is 246 in what is the total legth of the boards
The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.
To find the total length of the two boards, you need to add their individual lengths together.
Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.
Step 2: Add the lengths of the boards together.
234 (length of first board) + 246 (length of second board) = 480
So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.
In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.
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2 fractions with different denominators that add up to 6 1/3
The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.
First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.
Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.
Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:
1/2 = 3/6
x/6
Now we need to find the value of x that makes the sum of the fractions equal to 19/3:
3/6 + x/6 = 19/3
To solve for x, we can multiply both sides by 6:
3 + x = 38/3
Then, we can subtract 3 from both sides:
x = 29/3
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The graph of a proportional relationship is given along with an
equation for a different relationship. Which situation has a greater
unit rate?
Answer:
i thnk its a...but i could be wrong..
Step-by-step explanation:
Answer:
The answer should be B cuz it's different relationship
Step-by-step explanation:
An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline AA batteries and Eveready Energizer Alkaline AA batteries were given as 4.1 hours and 4.5 hours, respectively. Suppose these are the population average lifetimes. a. Let X ¯ be the sample average lifetime of 100 Duracell batteries and Y ¯ be the sample average lifetime of 100 Eveready batteries. What is the mean value of X ¯ − Y ¯ (i.e., where is the distribution of X ¯ − Y ¯ centered)? How does your answer depend on the specified sample sizes? b. Suppose the population standard deviations of lifetime are 1.8 hours for Duracell batteries and 2.0 hours for Eveready batteries. With the sample sizes given in part (a), what is the variance of the statistic X ¯ − Y ¯ , and what is its standard deviation? c. For the sample sizes given in part (a), draw a picture of the approximate distribution curve of X ¯ − Y ¯ (include a measurement scale on the horizontal axis). Would the shape of the curve necessarily be the same for sample sizes of 10 batteries of each type? Explain.
thanks, this is a answer (:
can somebody explain this...
Answer:
A
Step-by-step explanation: