Answer:
3(1) _3 (3_4)
3_3 (1)
3_3
0
Hi i don’t know how to answer #4 and #5. I’m in college calculus 1.
Hence,
\(\begin{gathered} \tan ^2\alpha+1=\sec ^2\alpha \\ \text{Substitute tan}\alpha=-3\text{ into the eqaution above},\text{ we have } \\ (-3)^2+1=\sec ^2\alpha \\ 9+1=\sec ^2\alpha \\ 10=\sec ^2\alpha \\ \sec ^2\alpha=10 \\ \sec \alpha=\sqrt[]{10} \\ \text{but sec}\alpha=\frac{1}{\cos \alpha} \\ \text{hence, }\frac{1}{\cos\alpha}=\sqrt[]{10} \\ \cos \alpha=\frac{1}{\sqrt[]{10}} \end{gathered}\)\(\begin{gathered} \text{But tan}\alpha=\frac{\sin \alpha}{\cos \alpha} \\ \sin \alpha=\tan \alpha\cos \alpha \\ \sin \alpha=-3\text{ x }\frac{1}{\sqrt[]{10}} \\ \sin \alpha=-\frac{3}{\sqrt[]{10}} \\ \\ Hence,\text{ }\sin \alpha=-\frac{3}{\sqrt[]{10}} \end{gathered}\)The Marriott group of hotels is keen on building relationships with customers. To ensure success in this effort, the attitudes and actions of its employees need to be ________ oriented.
To ensure success in building customer relationships, the Marriott group of hotels requires its employees to have a customer-oriented attitude and take customer-oriented actions.
The success of the Marriott group of hotels in building relationships with customers relies on the attitudes and actions of its employees. A customer-oriented approach is crucial for fostering positive interactions and creating memorable experiences for guests. Employees with a customer-oriented attitude prioritize the needs and satisfaction of customers above all else. They actively listen to guests, show empathy, and strive to exceed expectations. Additionally, taking customer-oriented actions involves going the extra mile to personalize service, addressing individual preferences and requirements. This includes anticipating and fulfilling customer needs, providing timely and accurate information, and resolving issues promptly and efficiently. By being customer-oriented in both attitude and action, Marriott employees can enhance guest satisfaction, foster loyalty, and ultimately contribute to the overall success of the hotel group.
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2+2-2+2-2+2-5+2
Please tell the correct answer or else I will not mark anyone brainliest
2 + 2 - 2 + 2 - 2 + 2 - 5 + 2 =
2 + 2 + 2 + 2 + 2 - 2 - 2 - 5 =
10 - 9 =
1
which equation is false?
Answer:
The first one
Step-by-step explanation:
1=0
2.= ∞
3.=∞
4.=∞
part 3 of my math hw!
Answer:
Yes, side AD is the height of triangle ABC
Step-by-step explanation:
The side AD goes from the tip of the triangle (point A) to the base of the triangle (point D), and since that is the case it can accurately measure the triangle's height.
The circumference of a circle is 6.28 kilometers. What is the circle's radius?
Use 3.14 for Pi.
Answer:
Radius is 1
2πr is circumference. 6.28=2*3.14*r. so r=1 simplified.
Answer:
Radius = 1 kilometer.
Step-by-step explanation:
Radius = circumference / (2*3.14)
Radius = 6.28 / (6.28)
Radius = 1 kilometer
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
Imagine you are working at a bank and are responsible for deciding how much credit to give to people. An individual would like to borrow $10,000.00 to pay for house renovations. They make $2,000.00 a month and they owe $7,000.00 in credit card debt. They also have a monthly mortgage (house payment) of $1,000.00 a month. Would you grant the credit to the individual? Why or why not?
Pros of borrowing money/ cons of borrowing money.
As a bank employee Responsible for credit decisions, I would have to consider various factors before granting credit to the individual.
The individual's income is $2,000 per month, which means that their monthly debt-to-income ratio is 50% ($1,000 for mortgage + $7000 for credit card debt + $10,000 for new loan = $18,000 total debt, divided by $2,000 monthly income = 0.5 or 50%). This is a high ratio, which suggests that the individual may have difficulty paying back the loan, especially given their existing credit card debt.
Furthermore, the monthly mortgage payment of $1,000 is already a significant expense, which would make it difficult for the individual to meet the payments on a new loan.
Based on these factors, I would likely decline the credit request. A high debt-to-income ratio, existing debt, and already high monthly expenses are all red flags for credit risk, and it would not be in the bank's best interest to grant the loan.
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Given mn, find the value of x.
+
(x-3)
(8x+3)
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
Nicholas has nickels, dimes and quarters that total $12.30. The number of dimes is 3 more than twice the number of nickels, and the number of quarters is three times the number of nickles. how many coins of each kind does he have?
Using a system of equations, the amounts of each coin that he has is given as follows:
Nickels: 12.Dimes: 27.Quarters: 36.System of equationsThe variables to the system of equations are given as follows:
Variable x: number of nickels.Variable y: number of dimes.Variable z: number of quarters.Nicholas has nickels, dimes and quarters that total $12.30, hence, considering the value of each coin:
0.05x + 0.1y + 0.25z = 12.30.
The number of dimes is 3 more than twice the number of nickels, hence:
y = 2x + 3.
The number of quarters is three times the number of nickles, hence:
z = 3x.
Then we can solve for x as follows:
0.05x + 0.1y + 0.25z = 12.30.
0.05x + 0.1(2x + 3) + 0.25(3x) = 12.30.
x = 12. (nickels)
Then the other amounts are as follows:
y = 2x + 3 = 27(dimes).z = 3x = 36 (quarters).More can be learned about a system of equations at https://brainly.com/question/24342899
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In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C? 6. 4 inches 7. 7 inches 8. 4 inches 13. 1 inches.
Answer:
the answer is c uwU
Step-by-step explanation:
Here, base is the length of the side adjacent to angle and hypotenuse is the longest side of the right angle triangle.
The length of the side adjacent to angle C is 7.67 inches or 7.7 inches. Option B shows the correct length of the side adjacent to angle C.
What is a right-angle triangle?A right triangle or right-angled triangle is a triangle in which one angle is a right angle i. e. 90 degrees. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
Given that in a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long.
The attachment shows the right-angle triangle. In the triangle, hypotenuse AC = 10 inches and angle C = 40 degrees.
We need to find the value of BC.
We know that, in a right-angle triangle,
\(cos C = \dfrac {BC}{AC}\)
\(cos 40^\circ = \dfrac {BC}{10}\)
\(BC = 10 \times cos 40^\circ\)
\(BC = 7.67 \;\rm Inches\)
Hence we can conclude that the length of the side adjacent to angle C is 7.67 inches or 7.7 inches. Option B shows the correct length of the side adjacent to angle C.
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Convert each equation from slope-form to standard form
The conversion of the equation from slope-form to standard form is -2x + y = -3.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be represented or modeled by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.Generally speaking, the standard form of a linear function is given by this mathematical expression:
Ax + By = C
Where:
A, B, and C represents a numerical value (number).
Rewriting the given linear function in standard form, we have the following:
-2x + y = -3.
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Please help the question is in the picture
Answer:
-5√3 - 5√7/4
Step-by-step explanation:
Please mark me as brainliest
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
What can be said about the data for the snowfall in each resort? Check all that apply.
Answer:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Step-by-step explanation:
Answer:
ab 50 and ab 75
Step-by-step explanation:
.Find the largest subset S on which the given vector - valued function is continuous?
F = ( t/9+t^4, 7t^2-7t+1, ln (t+3))
.
The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).
To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.
Component 1: f1(t) = t/(9 + t^4)
This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.
Component 2: f2(t) = 7t^2 - 7t + 1
This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.
Component 3: f3(t) = ln(t + 3)
The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.
Taking all these considerations into account.The function is continuous for all values of t greater than -3.
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John has $2 and triples his money every day. How much money will he have on day 3?
2, 6, 18, 54
Answer:
$54
Step-by-step explanation:
We know
John has $2 and triples his money every day.
How much money will he have on day 3?
Day 1 = 2 x 3 = $6
Day 2 = 6 x 3 = $18
Day 3 = 18 x 3 = $54
So, he has $54 on day 3
Billy had a balance of -$21.46 in his bank account. As soon as he saw this * 1 point
balance, he deposited $35.50 into the account. What was the account
balance after the deposit?
O-$14.04
O $14.04
$35.50
O $56.96
Answer:
$14.04
Step-by-step explanation:
-21.46 + 35.50 is the same as
35.50 - 21.46 = $14.04
Answer: 14.04
Step-by-step explanation: -21.46 + 35.50 = 14.04
The manager of a city recreation center wants to estimate the percent of city residents who favor a proposal to build a new dog park. To gather data, the manager will select a random sample of city residents. Which of the following is the most appropriate interval for the manager to use for such an estimate?
a. A one-sample zz-interval for a sample proportion.
b. A one-sample zz-interval for a population proportion.
c. A one-sample zz-interval for a difference between population proportions.
d. A two-sample zz-interval for a difference between sample proportions.
Considering the hypothesis tested, the most appropriate interval for the manager to use for such an estimate is given by:
b. A one-sample z-interval for a population proportion.
What is the most appropriate test?The manager will sample some residents, and if the proportion who is in favor of the new park is high enough, he builds the new park.
For the most appropriate test, we have that:
There is only one sample, hence it is a one-sample test.He will use the sample proportion to estimate the population proportion.Hence, option B is correct.
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What is the slope given: (-1, 1) and (6, -1)
Answer:
m=-2/7
Step-by-step explanation:
Answer: -2/7
Step-by-step explanation:
uhhh not sure i just used math lol
winston earns 20% commission as a salesperson. he sold a silver necklace the cost $95. how much commission did winston earn
Answer:
$19.00
Step-by-step explanation:
$95.00×20%=19.00
If the determinant of a 5×5 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying the third row by 4 , then det(B)=
When the determinant of matrix B is also 2.
When a scalar multiple of a row is multiplied by a matrix, the determinant of the resulting matrix is also multiplied by that scalar.
Given that the determinant of matrix A is det(A) = 2, and matrix B is obtained from A by multiplying the third row by 4, we can determine the determinant of B.
Let's denote the original matrix A as A₀ and the modified matrix B as B.
Multiplying the third row of A₀ by 4 yields matrix B. However, this operation does not affect the determinant of A₀, so det(B) = det(A₀).
Therefore, det(B) = det(A₀) = 2.
Hence, the determinant of matrix B is also 2.
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find the unit rate of $152 in 10 hours
One year, the population of a city was 50,000. Several years later it was 57,000. Find the percent increase
Answer:the percentage increase is 14%
Step-by-step explanation:the difference between 57000 and 50000=7000
so therefore
% increase=7000/50000*100%
=14%
Find the surface area and volume of this figure. SHOW THE WORK CORRECT ANSWER GETS BRAINLIEST
The surface area of the given figure is 44.75 sq. yd and the volume of the whole figure is 27.5 cu. yd.
What is surface area?
The surface area is a region filled by a two-dimensional flat surface. The surface area of a three-dimensional item is the space taken up by its outer surface. Square units are units used for both.
The formula for the surface area of the given figure = perimeter of a base * height
The formula for the Volume of a three-dimensional solid having uniform cross-section = area of base * height
Given:
length = 4 yd; breadth = 2.5 yd
The surface area of the given figure = surface area of the cuboid + surface area of a prism
= ( 2(4+2.5) * 2) + (3*2.5* 2.5)
= 26 + 18.75
= 44.75 sq. yd
The volume of the given figure = volume ( cuboid + prism)
= (4*2.5*2) + (1/2*1.5*4*2.5)
= (20) + (7.5)
= 27.5 cu. yd
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Show the family of conics with the same focus
x^2/a^2+C + y^2/b^2+C = 1
is its own orthogonal family of curves.
The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.
First, we take the derivative of the equation with respect to x:
2x/a^2 = -2y/b^2 * dy/dx
Simplifying, we get:
dy/dx = -b^2*x/a^2*y
Now, we set this equal to -1/b^2:
-b^2*x/a^2*y = -1/b^2
Cross-multiplying and simplifying, we get:
x/a^2*y = 1/b^2
Finally, we can rearrange this equation to get:
y = b^2*x/a^2
This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.
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Rozalie spent $26 at a parking garage in downtown Orlando. The garage charged a base free of $7.50 for the first hour and a hourly rate of $2.75 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.
An empty sand pit eeighs 6kg.The wight increases to 50kg when filled with sand. A different sand pit is 14% heavier but holds 22% less sand. Calculate the weight of this sand pit when it is full of sand
Answer:
The weight of this sand pit when it is full of sand is 41.16kg
Step-by-step explanation:
For the first sand pit
It weighs 6kg and weight increases to 50kg when filled with sand.
Therefore, it can hold 50kg - 6kg = 44kg of sand
For the second sand pit
From the question, it is 14% heavier, that is, the weight will be
6kg + (14/100) × 6kg = 6kg + 0.84kg
= 6.84kg
∴ The weight of the different sand pit is 6.84kg
Also from the question, it holds 22% less sand, that is, the weight of the sand it holds will be
44kg - (22/100) × 44kg = 44kg - 9.68kg
= 34.32kg
∴The weight of sand it holds is 34.32kg
The weight of this sand pit when it is full of sand is the sum of the weight of the sand pit and the weight pf sand it holds, that is,
Weight of sand pit = 6.84kg + 34.32kg = 41.16kg
Hence, the weight of this sand pit when it is full of sand is 41.16kg
2x - 4(4x - 8) = -94 solve for x
Answer:
x =9
Step-by-step explanation:
2x - 4(4x - 8) = -94
Distribute
2x - 16x +32 = -94
Combine terms
-14x +32 = -94
Subtract 32 from each side
-14x+32-32 = -94-32
-14x =-126
Divide each side by 14
-14x/-14 = -126/-14
x =9
Answer:
9
Step-by-step explanation:
what is the value of x:
Answer:
100
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of \(\sqrt{2}\). x is therefore:
\(100\sqrt{2}\div \sqrt{2}=100\)
Hope this helps!
In ΔSTU, TU = 15, US = 20, and ST = 14. Which statement about the angles of ΔSTU must be true?
Answer:
None of the angles will also be equal.
Step-by-step explanation:
Given
Shape: Triangle
\(TU = 15\)
\(US = 20\)
\(ST = 14\)
Required
True statement about the angles of STU
This question would have been best answered if there are options. Since there is none, I'll answer on a general term.
From the given parameters, we can see that none of the sides of the triangle are equal.
This implies that the triangle is a scalene triangle.
Now, we have established that the triangle is scalene because \(ST \ne TU \ne US\)
For a scalene triangle STU, it is true that none of the angles will also be equal.