Answer:The ratio is 1:5
Step-by-step explanation:
Answer:
it is 1:5 because if you divide both sides by 4, you get 1:5
Step-by-step explanation:
sin−1(sin/6)
cos−1(cos5/4)
tan−1(tan5/6) compute without using a calculator
Without using a calculator, the trigonometric expressions simplify to:
1. sin^(-1)(sin(θ/6)) = θ/6
2. cos^(-1)(cos(5/4)) = 5/4
3. tan^(-1)(tan(5/6)) = 5/6.
To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.
1. sin^(-1)(sin(θ/6)):
Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.
2. cos^(-1)(cos(5/4)):
Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.
3. tan^(-1)(tan(5/6)):
tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.
Hence, without using a calculator, we find that:
sin^(-1)(sin(θ/6)) = θ/6,
cos^(-1)(cos(5/4)) = 5/4,
tan^(-1)(tan(5/6)) = 5/6.
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Find the angle between the vectors. (Round your answer to two decimal places.) u = (-3,-4), v = (5,0), (u, v) = 3u1V1 + u2V2. Ꮎ = _____ radians. Find the angle 8 between the vectors. 3T u = (cos 3phi/4, sin 3phi/4). v = cos phi/6, sin phi/6). Ꮎ = ______ radians
The angle between vectors u and v is approximately 2.21 radians and the angle 8 between vectors 3Tu and v is |15phi/12|
First, we need to find the dot product of vectors u and v:
u · v = (-3)(5) + (-4)(0) = -15
Then, we can find the magnitudes of the vectors:
|u| = √\(((-3)^2 + (-4)^2)\)= 5
|v| = √\((5^2 + 0^2)\) = 5
Using the formula for the angle between two vectors:
cos θ = (u · v) / (|u||v|)
cos θ = (-15) / (5 * 5) = -0.6
θ = arccos(-0.6) ≈ 2.21 radians
Therefore, the angle between vectors u and v is approximately 2.21 radians.
For the second part of the question:
First, we need to find the dot product of vectors 3Tu and v:
3Tu · v = (3cos(3phi/4))(cos(phi/6)) + (3sin(3phi/4))(sin(phi/6))
3Tu · v = 3(cos(3phi/4)cos(phi/6) + sin(3phi/4)sin(phi/6))
Using the trigonometric identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we can simplify the dot product:
3Tu · v = 3cos(3phi/4 - phi/6)
Then, we can find the magnitudes of the vectors:
|3Tu| = √(\((3cos(3phi/4))^2 + (3sin(3phi/4))^2\)) = 3√2
|v| = √(\((cos(phi/6))^2 + (sin(phi/6))^2\)) = 1
Using the formula for the angle between two vectors:
cos θ = (3Tu · v) / (|3Tu||v|)
cos θ = [3cos(3phi/4 - phi/6)] / (3√2)
cos θ = cos(15phi/12)
θ = arccos(cos(15phi/12)) = |15phi/12|
Therefore, the angle 8 between vectors 3Tu and v is |15phi/12|.
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x=-4 +6+ (11 +4(-3))
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
a 12 inch thin‑crust cheese pizza is cut equally into eight slices. assuming a uniform distribution of sauce and toppings,
If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.
each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.
Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.
It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.
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The area of an animal pen is 30 square feet. what are the legnths of the pen's sides if the pen has each given shape?
L = 1.3245 is the legnths of the pen's sides .
What is area and perimeter?
Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)
So W = 30 - 2L.
Area = L x W = L (30 - 2L) = 30L - 2L^2.
This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Question 2 of 10
Identify an equation in point slope form for the line parallel to y = - +8
that passes through (4-5)
O Ag+5=-(x-4)
O&y-4=(+5)
5+5= 3(2-4)
Oy-5=-(2+4)
SUBMIT
2x + 3y = 2 is the equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)
Equation of a line passing through the point (x₁,y₁) and having slope m is
y - y₁ = m(x - x₁)
As the lines are parallel the slopes will be same.
Here point is (4,-5) and slope is -2/3
y - 4 = -2/3 (x - (-5))
3y - 12 = - 2x - 10
3y = - 2x + 2
2x + 3y = 2 is the required equation.
Hence, 2x + 3y = 2 is the equation in point-slope form for the line parallel to y=-(2)/(3)x+8 that passes through (4,-5)
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Hallo, can you please answer this question? ty
i used to be good at this bru
okay, i got option 4
hope it's right man
Find an equation for the line that passes through the point (x,y)=(3,−3) and has slope −4
The equation for the line passing through the point (3, -3) with a slope of -4 is y = -4x + 9.
To find an equation for the line that passes through the point (3, -3) and has a slope of -4, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
where (x₁, y₁) represents the given point and m represents the slope.
Substituting the given values, we have:
y - (-3) = -4(x - 3)
Simplifying the equation:
y + 3 = -4x + 12
Rearranging the terms to obtain the equation in slope-intercept form (y = mx + b):
y = -4x + 9
Therefore, the equation for the line passing through the point (3, -3) with a slope of -4 is y = -4x + 9.
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what information does the standard form of a linear equation reveal about a line
Answer:
Look Below
Step-by-step explanation:
It reveals what type of slope it has. It reveals whether it is positive or negative. It tells when the line will cross the Y-Axis. This is just the groundwork of it but there is a whole list I think on what one equation can reveal about a line on a graph. Hope This Helps! If you find any fault in my answer please let me know! Have a good day!
There are 14 dogs at the dog park on a busy Saturday. 2 of them are springer spaniels.
What is the probability that a randomly selected dog is a springer spaniel?
Write your answer as a fraction or whole number.
Answer:1/7
Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.
Which of the following is equivalent to the expression 2x + 4x - 2x + 60?
A. 3(x + 20) C. 4(x + 60)
B. 4(x + 15) D.5(x + 12)
A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. What an equation for that?
Answer:
30 + 19.99 per hour
Step-by-step explanation:
ADD THEM IN A EQUATION.
SO SIMPLE TO DO THAT!
Answer:
Step-by-step explanation:30+19.99x
Throw a pair of dice 50 times and record the outcomes in a line plot.
a. What do you notice? Describe 3 things you noticed.
b. What is the empirical probability (results from your experiment)?
c. How do your results compare to your peers' results? (You can answer this during the reaction period.) Why do you think?
d. How does your empirical probability (results from experiment, including central tendency- range, mean, median and mode) compare to the theoretical probability
Firstly, there was a variety of outcomes ranging from 2 to 12, with some numbers appearing more frequently than others. Secondly, the distribution of outcomes seemed to follow a bell-shaped curve, with the most common results being around the middle values.
The empirical probability, based on the results of the experiment, can be determined by calculating the relative frequency of each outcome. By dividing the number of occurrences of a specific outcome by the total number of trials (50), we can obtain the empirical probability for that outcome. This can be represented as a fraction or a decimal.
Comparing my results to my peers' results would require further information on their experiments and data. However, it is possible that there could be some variations in outcomes due to chance, as well as differences in the number of trials or methods used. Additionally, individual variations in throwing the dice and the randomness inherent in the process could contribute to the differences observed.
The empirical probability obtained from the experiment can be compared to the theoretical probability, which is based on mathematical calculations. Theoretical probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Comparing the empirical and theoretical probabilities allows us to assess the accuracy of the experiment and determine if the observed results align with what we would expect based on probability theory.
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Look at the picture and solve please
Answer:
Step-by-step explanation:
pathargorean therom: 3^2+5^2=34
So sqrt34+4 = 9.83
What is the equation of the line that passes through the point (-5,1)(−5,1) and has a slope of -\frac{1}{5}−5
Answer:
Step-by-step explanation:
I will interpret "-\frac{1}{5}−5" as -(1/5).
We'll look for an equation by starting with the slope intercept format of:
y = mx + b,
where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope of -(1/5), I think.
The equation becomes y = -(1/5)x + b
We want to find a value of b that will force the line to go through point (-5,1). Do this by putting this point into the equation we have thus far:
y = -(1/5)x + b
1 = -(1/5)*(-5) + b [point (-5,1)]
1 = 1 + b
b = 0
The equation becomes y = -(1/5)x + 0, or y = -(1/5)x
See the attachment.
Solve the inequalities. State whether the inequalities have no solutions or real solutions.7p - 11p + 3 > 3 - 4p
Given,
7p-11p+3>3-4p
-4p+3>3-4p
-4p>-4p
which is absured.
So there is no solution of the inequality.
in order to calculate the pearson correlation between x and y please provide the numerator and demonenator of the correlation formula
The denominator of the formula, sqrt(Σ((x -x )²) * Σ((y - y)²)), is the product of the standard deviations of x and y.
The numerator of the Pearson correlation formula is the sum of the products of the deviations of x and y from their respective means. The denominator is the product of the standard deviations of x and y.
The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables, x and y. It is computed using the following formula:
r = (Σ((x - x)(y - y))) / sqrt(Σ((x - x)²) * Σ((y -y)²))
In the formula, Σ represents the sum, x and y are the individual data points, x and y are the means of x and y respectively.
The numerator of the formula, Σ((x - x)(y - y)), represents the sum of the products of the deviations of x and y from their means. It measures how the values of x and y vary together.
The denominator of the formula, sqrt(Σ((x - x)²) * Σ((y - y)²)), is the product of the standard deviations of x and y. It scales the numerator to ensure that the correlation coefficient is between -1 and +1.
By calculating the numerator and denominator and performing the division, we obtain the Pearson correlation coefficient, which indicates the strength and direction of the linear relationship between x and y.
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Which angles are supplementary to each other? (IXL)
Step-by-stepAnswer:
∠4 and ∠5
Step-by-step explanation:
Both angels seem to add up to 180°
Select all the expressions that are equivalent to the number in the picture
Answer:
The expressions 10³÷10⁷, 10¹²/10¹⁶, and 10⁻²/10² are all equivalent to 10⁻⁴.
Step-by-step explanation:
When dividing exponents with the same base you subtract the exponents.
For visuals, in the equation 10³÷10⁷ it would be 10³⁻⁷ which would be 10⁻⁴ since 3 minus 7 is negative 4.
It is the same thing for 10¹²/10¹⁶, it would be 10¹²⁻¹⁶ which is equal to 10⁻⁴.
The same method can be used for 10⁻²/10² (10⁻²⁻²).
What expression can be used to determine the total cost of buying g pounds of granola for $3.25per pound and f pounds of flour for $0.74per pound
Answer:
You should ask photomath I think they can solve word problems
What is the degree of 7c3d2
The degree of the expression 7c³d² is 2
How to determine the degreeFrom the question, we have the following parameters that can be used in our computation:
Expression = 7c³d²
The degree of an expression is the highest power in the expression
In this case,
7c³ = Constant
d² = Variable
The highest power of the variable is 2
Hence, the degree is 2
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given f(x)=x-5 and g(x)=4x^2+2 find (gof)(x)
Answer:
\( (gof)x= 4(x - 5) ^{2} + 2 \\ = 4( {x}^{2} - 10x + 25) + 2 \\ = 4x^{2} - 40x + 100 + 2 \\ = 4x ^{2} - 40x + 102\)
I am less than 10 l am not a multiple of 2 l am a composite number.
Answer:
9 is the answer
Step-by-step explanation:
if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9 but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer
The number which is less than 10, not a multiple of 2, and is a composite number, is 9.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
I am less than 10 l am not a multiple of 2 l am a composite number,
The numbers which are less than ten are,
9, 8, 7, 6, 5, 4, 3, 2, 1, 0
The numbers which are not the multiple of 2 are shown below,
9, 7, 5, 3, 1, 0
The numbers which are composite are shown below,
9 = 3 × 3
Thus, The number is 9.
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Can somebody solve this PLZ PLZ PLZ!
The answer is,
\( \frac{7u - 4v}{8v} \)
hope it helps.
Answer:
\(\frac{7u - 4v}{8v}\)
Step-by-step explanation:
Hope this will help
A square has a side length 9cm . What is its area?
O 18 cm
O 36 cm
81 cm
acker
0 27 cm
Answer:
81 cm^2
Step-by-step explanation:
1. The area of a square is s^2, where s = length of side. In this case, s = 9.
\(9^2\) \(9 * 9\) \(81\)Therefore, the area is 81 cm^2.
Answer:
81
Step-by-step explanation:
square amount of sides = 4
one side is 9cm
all square sides ae congurent (equal).
9 x 9
A = 81
________ probability represents the likelihood of a single event occurring by itself.
The probability that represents the likelihood of a single event occurring by itself is called marginal probability.
Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.
To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.
Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.
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Hypothesis testing enables us to determine if the collected ______ data is inconsistent with what is stated in the null hypothesis.
Hypothesis testing is a powerful statistical tool that enables us to determine whether the collected data is consistent with what is stated in the null hypothesis.
Hypothesis testing is a statistical method that allows us to determine whether the collected data is consistent with what is stated in the null hypothesis. The null hypothesis is a statement that assumes there is no significant difference between two groups or two variables being compared.
In contrast, the alternative hypothesis is the opposite of the null hypothesis, and it assumes that there is a significant difference between the two groups or variables being compared.
To test a hypothesis, we start by formulating the null hypothesis and the alternative hypothesis. Then, we collect data that is relevant to the hypothesis being tested. Next, we use statistical tests to analyze the data and calculate the probability of obtaining the observed results under the null hypothesis.
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a telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the south and the northeast. the representative's belief is based on the results of a survey. the survey included a random sample of 700 southern residents and 580 northeastern residents. 49% of the southern residents and 42% of the northeastern residents reported that they were completely satisfied with their local telephone service. find the 80% confidence interval for the difference in two proportions. step 1 of 3 : find the critical value that should be used in constructing the confidence interval.
The critical value for an 80% confidence interval is 1.28.
To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.
Step 1: Find the critical value.
Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.
Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.
Therefore, the critical value for an 80% confidence interval is 1.28.
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use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b]. y=12x^2
To find the area of the region between the curve y = 12x^2 and the x-axis on the interval [0, b], we can use a definite integral. The integral represents the area under the curve within the given interval.
The area of the region between the curve and the x-axis can be found by evaluating the definite integral of the function y = 12x^2 over the interval [0, b].
We integrate with respect to x, where the lower limit is 0 and the upper limit is b.
The definite integral ∫[0, b] 12x^2 dx represents the area bounded by the curve y = 12x^2 and the x-axis from x = 0 to x = b. By evaluating this integral, we can calculate the area of the region.
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