Answers
Answer:
22.65728
Step-by-step explanation:
29*tan(38 degrees) = 22.65728
Related Questions
Place them in ascending order please
Answers
Answer:
-11,-1, square root of 5-13
Step-by-step explanation:
Find the exact value of the expression. Given cosθ=135 and sinθ<0; find cscθ.
Answers
The exact value of cscθ is (35 * √(1190)) / 1190.
To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.
Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.
In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.
Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.
Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:
sinθ = √(1 - (1/√35)^2)
= √(1 - 1/35)
= √(34/35)
= √34 / √35
= (√34 / √35) * (√35 / √35) [Multiplying numerator and denominator by √35 to rationalize the denominator]
= √(34 * 35) / 35
= √(1190) / 35
Now, since cscθ is the reciprocal of sinθ, we have:
cscθ = 1 / sinθ
= 1 / (√(1190) / 35)
= 35 / √(1190)
= (35 * √(1190)) / 1190.
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(-m^3) (−9m) simplify
Answers
Answer:
9m^4
Step-by-step explanation:
Adam and Benny have some sweets. If Adam eats 4 sweets and Benny eats 3 sweets each day, Adam will have 156 sweets left when Benny finishes all his sweets. If Adam eats 1 sweet and Benny eats 4 sweets each day, Adam will have 338 sweets left when Benny finishes all his sweets. How many sweets does Adam have?
Answers
Answer: 499
Step-by-step explanation: You have to add up how many sweets Adam ate, this is the equation:
4+156+1+338
So, if you are wanting to use your calculator, you can, because adding them up will give you 499.
So, your answer is:
Adam has 499 sweets.
Hope this helped!
leonard wants to cut identical square as big as he can from a piece of paper 168 mm by 196 mm. what is the length of each square?
Answers
The length Thebe the HCF (highest common factor) of the given dimensions that are 168mm and 196 mm. Hence, the length of each square will be equal to 28mm.
The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers. As a result, it is also known as the greatest common factor (GCF). If M is the greatest common factor of N, then M is the greatest possible number that divides N.
The length of the each square will be given by the HCF of the dimensions that are 168mm and 196mm.
\(168=2*2*2*3*7\\196=2*2*7*7\)
So, the length of the each square paper=\(2*2*7=28mm.\)
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Alyssa has 5 kg bag of cat food. If she uses 25 g of food for each meal, how many meals can she feed her cat with the bag of food?
Answers
5kg=5,000g
5,000 divided by 25= 40
In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam.1. Does the new student's score increase or decrease the average score? ? Increase Decrease2. What is the new average? Answer to four decimal places.3. Does the new student's score increase or decrease the standard deviation of the scores? ? Increase Decrease
Answers
Since the new score is below the current average score, it sure decreases the average score.
What is the probability of a score falling above or below the mean?Regardless of what a normal distribution looks like or how big or small the standard deviation is, approximately 68 percent of the observations (or 68 percent of the area under the curve) will always fall within two standard deviations (one above and one below) of the meanOne approach is the percentile rank. The percentile rank of a score is the percentage of scores in the distribution that are lower than that score. Percentiles are useful for comparing values.Soft inquiries such as viewing your own credit report will not affect your FICO Score. Hard inquiries such as actively applying for a new credit card or mortgage will affect your score
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On 20 very cold days, a farmer got her tractor started on the first, third, fifth, first, second, third, first, fifth, seventh, second, third, ninth, fifth, third, fifth, second, fourth, second, second and sixth try. Assuming the data can be looked upon as a random sample from geometric population, estimate its parameter theta by the method of maximum likelihood.
Answers
In this problem, we are given a sample of 20 trials where the farmer tried to start her tractor on cold days, and we are assuming that the number of attempts required to start the tractor follows a geometric distribution. The probability mass function (PMF) of a geometric distribution with parameter theta is:
P(X = k) = (1-θ)^(k-1)θ
where X is the number of attempts required to start the tractor.
The likelihood function for the sample is given by taking the product of the PMFs for each trial:
L(θ) = ∏[P(Xi)] = ∏[(1-θ)^(Xi - 1)θ]
Taking the natural logarithm of both sides, we get:
ln(L(θ)) = Σ[ln(P(Xi))] = Σ[(Xi - 1)ln(1-θ) + ln(θ)]
Now, we differentiate ln(L(θ)) with respect to θ and set the result equal to zero to find the maximum likelihood estimate of theta:
d/dθ [ln(L(θ))] = Σ[(Xi - 1)/(1-θ) - 1/θ] = 0
Σ[(Xi - 1)/(1-θ)] = Σ[1/θ]
Σ[Xi - 1] = θΣ[1/(1-θ)]
Σ[Xi] - 20 = θ/(1-θ)
θ = (Σ[Xi] - 20)/(Σ[Xi] - 20 + 20)
Plugging in the values for the given data, we get:
θ = (1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20)/(1+3+5+1+2+3+1+5+7+2+3+9+5+3+5+2+4+2+2+6 - 20 + 20) = 0.375
Therefore, the maximum likelihood estimate of the parameter theta is 0.375.
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Kenji is selling tickets to his troop's scouting fair. He set a goal of selling a certain number of
tickets each week for 8 weeks. After 8 weeks, he had sold 115 tickets, but he was still 21
tickets short of his goal.
Which equation can you use to find how many tickets, t, Kenji hoped to sell each week to
reach his goal?
Answers
Answer:
Step-by-step explanation:
To find the number of tickets Kenji hoped to sell each week, we can set up an equation based on the information given.
Let's assume Kenji's goal was to sell x tickets each week.
According to the problem, Kenji sold a total of 115 tickets after 8 weeks but was still 21 tickets short of his goal. This means he sold 115 - 21 = 94 tickets towards his goal.
The equation to find the number of tickets Kenji hoped to sell each week can be written as:
8x = 94
Here, 8 represents the number of weeks and x represents the number of tickets Kenji hoped to sell each week.
To solve the equation for x, we divide both sides by 8:
x = 94/8
Simplifying:
x = 11.75
Therefore, Kenji hoped to sell approximately 11.75 tickets each week to reach his goal. Since it is not possible to sell a fraction of a ticket, we can conclude that Kenji aimed to sell 11 tickets per week.
Find the circumference of a circle with a radius of 18 feet. Use 3.14 for i 1,017,36 in None of the above 113.04 in 56.52 in
Answers
Answer: The circumference of a circle with radius 18 is 113.1
Step-by-step explanation:
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 32minutes of calls is $24.88, and the remaining credit after 48 minutes of calls is $22.32. What is the remaining credit after 56 minutes of calls?
Answers
We are given:
\(\begin{gathered} f(32)=24.88 \\ \Rightarrow(x_1,y_1)=(32,24.88) \\ (x_1,y_1)=(32,24.88) \\ \\ f\mleft(48\mright)=22.32 \\ \Rightarrow(x_2,y_2)=(48,22.32) \\ (x_2,y_2)=(48,22.32) \end{gathered}\)We will calculate the slope as shown below:
\(\begin{gathered} slope(m)=\frac{y_2-y_1}{x_2-x_1} \\ slope(m)=\frac{22.32-24.88}{48-32} \\ slope(m)=-\frac{2.56}{16} \\ slope(m)=-0.16 \end{gathered}\)The formula for a linear function is given as:
\(\begin{gathered} y=mx+b \\ (x,y)=(x_1,y_1)=(32,24.88) \\ \Rightarrow24.88=-0.16(32)+b \\ 24.88=-5.12+b \\ \text{Add ''5.12'' to both sides, we have:} \\ 24.88+5.12=b \\ 30=b\Rightarrow b=30 \\ b=30 \end{gathered}\)The equation thus becomes:
\(\begin{gathered} y=-0.16x+30 \\ when\colon x=56 \\ y=-0.16(56)+30 \\ y=-8.96+30 \\ y=21.04 \\ \\ \therefore The\text{ remaining credit after 56 minutes of call is \$21.04} \end{gathered}\)Therefore, the remaining credit after 56 minutes of call is $21.04
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Answers
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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damian has 18 marbles in a bag. four marbles are blue, nine marbles are green, and five marbles are red. Damian randomly selected a marble from the bag, replaced it, then drew again. he repeated this for ten selections and revorded his results in the tally chart below.
which experimental probabilities can damian calculate from his results? select all that apply.
Answers
Answer:
I would say PB=40% D
Step-by-step explanation:
thier 4 blue balls and 20% is low for 5 and 40% is low for 9
Find the angle of one interior angle in this regular polygon, round your answer to the nearest tenth if possible.
Answers
Answer:
147.3°
Step-by-step explanation:
Step 1: Find the sum of all interior angles
180(n - 2)
n = 11
180(11 - 2)
180(9)
1620°
Step 2: Find 1 angle
1620/11 = 147.273°
Answer:
144 or 140
Step-by-step explanation:
If you meant round to the nearest ten it would be 140
Select the correct answer.
What is the solution to the equation?
2(x + 7) = 8
OA. -15 and 1
OB. -15
OC. 1
OD.
no solution
Answers
Answer:
Option D is correct.
No solution
Step-by-step explanation:
2(x+7)=8
Apply 2 into bracket:
2x+14=8
2x=8-14
2x=-6
Divide both sides by 2:
x=-3
hence here is no option for x=-3, so answer is no solution.
If John has an apple, an orange, a pear, a banana, and a kiwi at home and he wants to bring two fruits to school, how many combinations of fruit can he bring
Answers
After using the concept of combinations, John can bring 10 different combinations of fruit to school.
To determine the number of combinations of fruit that John can bring to school, we need to calculate the number of ways he can choose 2 fruits from the given options. This can be done using the concept of combinations.
The formula for calculating combinations is:
C(n, r) = n! / (r! * (n - r)!)
Where n is the total number of items (fruits) and r is the number of items (fruits) to be chosen.
In this case, John has 5 fruits (n = 5) and he wants to bring 2 fruits (r = 2) to school.
Using the formula, we can calculate:
C(5, 2) = 5! / (2! * (5 - 2)!)
= 5! / (2! * 3!)
= (5 * 4 * 3!) / (2! * 3!)
= (5 * 4) / 2
= 10
Therefore, John can bring 10 different combinations of fruit to school.
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How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees.Round to the nearest foot
Answers
Solution
We will draw a diagram to illustrate the information
Using the concept of SOHCAHTOA
We are given adjacent and we want to find opposite
\(\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan29=\frac{H}{71} \\ cross\text{ multiply} \\ H=71tan29 \\ H=39.35594265 \\ H=39ft \end{gathered}\)Therefore, the answer is
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A sector of a circle has a diameter of 16 feet and an angle of 4 radians. Find the area of the sector. 5 Round your answer to four decimal places. A = Number ft²
Answers
The area of the sector is 128 square feet.
To find the area of a sector, we can use the formula:
A = (θ/2) * r²
Given:
Diameter = 16 feet
Radius (r) = Diameter/2 = 16/2 = 8 feet
Angle (θ) = 4 radians
Substituting the values into the formula:
A = (4/2) * (8)^2
= 2 * 64
= 128 square feet
Therefore, the area of the sector is 128 square feet.
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Tried every app none have the answer please help
Answers
Answer:
opotion has not correct answer
answer is 15.
Answer:
\(3^\frac{7}{10}\) or \(\sqrt[10]{3^7}\)
Step-by-step explanation:
\(\left(\sqrt{3}\right)\left(\sqrt[5]{3}\right)=\sqrt[10]{3^7}\quad\)
(√3)(\(\sqrt[5]{3}\)) = √3 · \(\sqrt[5]{3}\)
{√3 = \(3^{\frac{1}{2}}\)} {radical rule: \(\sqrt{x}=x^1^/^2\)}
\(\sqrt3\)\(\sqrt[5]{3}\) = \(3^{\frac{1}{2}}\) · \(\sqrt[5]{3}\)
{\(\sqrt[5]{3}\) = \(3^{\frac{1}{5}}\)} {radical rule: \(\sqrt[n]{x} = x^1^/^n\)}
\(3^{\frac{1}{2}}\) · \(\sqrt[5]{3}\) = \(3^{\frac{1}{2}}\) · \(3^{\frac{1}{5}}\) {exponent rule: \(a^x*a^y=a^x^+^y\)}
(1/2 + 1/5 = 5/10 + 2/10 = 7/10)
\(=3^\frac{7}{10}\) {opposite of radical rule: \(\sqrt[n]{x} = x^1^/^n\) ; \(x^\frac{a}{b}=\sqrt[b]{x^a}\)}
= \(\sqrt[10]{3^7}\)
so, the simplified version of this equation can either be written as:
\(3^\frac{7}{10}\) or \(\sqrt[10]{3^7}\)
hope this helps!!
(I can't clearly see the last option, but if it's either of these, then it's correct)
A confidence interval is made from a __________ to estimate the truth for a ______________.
Answers
A confidence interval is made from a sample to estimate the truth for a population.
A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.
A confidence interval, which is a range of numbers, is used to describe an estimate's level of uncertainty.
A sample is drawn out of the population to estimate its parameter.
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help before i fail algebra for the millionth time
Answers
Answer:
(2,6)
Step-by-step explanation:
Solve the system of equations
y = 1/2x - 3
2y + 6 = x
Answers
X intercepts: (6,0) y intercepts: (0, -3)
2y + 6 = x
y = x - 6/ 2
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
Answers
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Some History teachers at Dayton High School are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. For her class, Mrs. Gruber bought 25 student tickets and 28 adult tickets, which cost a total of $984. Mr. Ellison spent $900, getting 25 student tickets and 25 adult tickets. What is the price for each type of ticket?
Answers
Answer:
Student Ticket: $8
Adult $28
Step-by-step explanation:
To find out the price of each ticket create 2 equations, then solve for x & y
x = student tickets
y = adult tickets
25x + 28y = 984
25x + 25y = 900
To do this first put x on one side of the equation
25x = 900 - 25y
x = 36 - y
Now substitute this equation in x for the first equation
25(36 - y) + 28y = 984
Now distribute 25 in 36 - y, 900 - 25y + 28y = 984
After this combine like term, then subtract 900 from each side, 3y = 84
Then divide 3 on each side, y = 28
Lastly substitute 28 for y in any equation to solve for x, x = 8
x & y are the price of each ticket
Hi! I have an math exam tomorrow and I really need you guys help.
\( \frac{1}{2} - \frac{2}{2} - \frac{4}{2} + ... + \frac{39}{2} + \frac{40}{2} \)
please help!
Answers
The Hayes used their sprinkler for 40 hrs and the Jenkins used their sprinkler for 35 hrs last month. The total output for both sprinklers was 1525 L. Their combined rate of usage was 40 L/hr. What is the rate of usage for each household?
Answers
The Hayes home uses 25 liters of water per hour, while the Jenkins household uses 15 liters per hour.
We assume the rate of consumption for the Hayes family by H and the Jenkins household by J. To express the provided data, we can use the following equations:
H + J = 40__________(1) (As the combined usage rate of 40 L/hr)
40H + 35J = 1525____________(2) (As the Jenkins' sprinkler was operated for 35 hours and the Hayes' for 40 hours last month, the combined output was 1525 L,)
Either the substitution method or the elimination method can be used to solve this system of equations. Let's solve for H and J using the elimination method:
Multiply the first equation by 35 to get 35H + 35J = 1400
Subtract the second equation from this to eliminate J: 35H + 35J - (40H + 35J) = 1400 - 1525
Simplifying this gives: -5H = -125
Hence, H = 25.
In order to solve for J, we may now enter this value of H into either of the original equations. Let's employ the first equation:
H + J = 40
25 + J = 40
J = 15
As a result, the Jenkins household's consumption rate is 15 L/hr, while the Hayes household's consumption rate is 25 L/hr.
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Write the solution to the inequality:
y - 4 < -11
Answers
Answer:
y < -7
Step-by-step explanation:
add 4 to both sides to get y<-7
Answer:
add 4 to both side
y-4+4>-11+4
y>-7
Compare gradients
a) Complete the tables of values for the four lines: P, Q, R and S.
R y = 3x
P
४
y
y = x
x
Q y = 2x
y
-2
-2
-1
-1
0
↓↑
0
1
c) What do you notice?
1
2
-1
2
5-
b) Plot and label the lines P, Q, R and S.
4-
3-
2-
1-
0
-2-
-3-
-4
४
-5-
y
s y = x
४
y
-2
-2
-1
-1
0
O
x
1
1
2
2
White
Rose
Maths
N
Answers
Answer:
3
Step-by-step explanation:
by the help of Prashant chettri
What is an example of a positive and negative correlation?
Answers
positive correlation :relationship between the number of hours a student studies and their grade point average (GPA).
negative correlation :relationship between the number of hours a student spends watching television and their grade point average (GPA).
Correlation is a statistical term that describes the relationship between two variables. When two variables are positively correlated, it means that as one variable increases, the other variable also increases. When two variables are negatively correlated, it means that as one variable increases, the other variable decreases.
An example of a positive correlation is the relationship between the number of hours a student studies and their grade point average (GPA). As the number of hours a student studies increases, their GPA also tends to increase. This is a positive correlation because both variables are increasing together.
An example of a negative correlation is the relationship between the number of hours a student spends watching television and their grade point average (GPA). As the number of hours a student spends watching television increases, their GPA tends to decrease. This is a negative correlation because one variable is increasing while the other is decreasing.
It's important to note that correlation does not imply causation. Just because two variables are correlated it does not mean that one variable causes the other. It could be that some other variable is causing both variables to change, or that the relationship is not causal at all.
In summary, correlation is a statistical term that describes the relationship between two variables. Positive correlation means that as one variable increases, the other variable also increases.
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sketch the area represented by g(x). g(x) = x t2 dt 1
Answers
The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).
It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):
1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).
To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.
2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.
In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.
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