Answer:
the answer to both are 1. 3.77 2.19.94
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Answer:
See below.
Step-by-step explanation:
The perimeter = 2*length + 2 * width.
As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:
The measure of the 2 lengths = 3/ (3+2) * 60
= 3/5 * 60
= 36 cm
So the measure of the length = 18 cm
So the measure of the width = (60 - 36) / 2
= 24/2
= 12 cm.
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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Help me with this ASAP please
3. At an exhibition, the ratio of the number of men to the number of women was 10:3. Halfway through the exhibition, 110 men left and the number of men was 5/12 of the total number of people who remained behind. How many women were there at the exhibition?
Answer:
Step-by-step explanation:
Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.
After 110 men left, the number of men remaining is 10x - 110.
The total number of people remaining is (10x - 110) + (3x) = 13x - 110.
According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:
10x - 110 = (5/12)(13x - 110)
To solve this equation, we can start by simplifying both sides:
10x - 110 = (65/12)x - (55/6)
To get rid of the fractions, we can multiply both sides of the equation by 12:
12(10x - 110) = 65x - 110(2)
120x - 1320 = 65x - 220
Next, we can bring the x terms to one side and the constant terms to the other side:
120x - 65x = 1320 - 220
55x = 1100
Dividing both sides by 55, we find:
x = 20
Now, we can substitute the value of x back into the initial expressions to find the number of men and women:
Number of men = 10x = 10(20) = 200
Number of women = 3x = 3(20) = 60
Therefore, there were 60 women at the exhibition
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
Help me asap with this math problem!!
Answer:
Move it to the \(\frac{-1}{2}\) point
Step-by-step explanation:
Two minus makes one plus.
D = -\(\frac{1}{2}\)
-(-D) = +(-\(\frac{1}{2}\))
= -\(\frac{1}{2}\)
= \(\frac{-1}{2}\)
I need help sorry about the pic but pls try to help thank you
Consider removing the point (130, -35) and calculating a new least-squares regression line.
What effect(s) would removing this point have?
When a point is removed (i.e. \((130, -35)\)), both average and standard deviation are changed and a new least-squares line is created.
How removing a point may alter a least-squares regression line
Given a minimum and representative set of points in a Cartesian plane, there is a given average and a standard deviation, of which slope and intercept of the least-squares line are determined.
When a point is removed, both average and standard deviation are changed and a new least-squares line is created. \(\blacksquare\)
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A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red.
If you select two marbles from the bag in a row without replacing the first marble, what is the probability that the first marble is blue and the second marble is green?
Answer: 6/13-2/13
I'm correct cause I always am hehe
Bob bad $50. he spent $28.67 for a new backpack. How much money does he have left?
Answer: $21.33
Step-by-step explanation: 50 - 28.67 = 21.33
Random variables X and Y have joint PDF 2 0 otherwise. Compute the following. (a) Var[X] - (b) Var(Y)= (c) Cov[X, Y]- (d) Var(X+Y]=
(a) The variance of X is undefined since the joint probability density function (PDF) provided does not specify the distribution of X alone.
(b) The variance of Y is undefined since the joint PDF provided does not specify the distribution of Y alone.
(c) The covariance between X and Y is zero since the joint PDF is zero everywhere except for a single point (0, 0).
(d) The variance of X + Y is also undefined since the joint PDF does not provide sufficient information about the distributions of X and Y separately.
The variance of a random variable measures the spread or dispersion of its values around the mean. However, to calculate the variance, we need to know the individual distributions of X and Y, which are not specified in the given joint PDF. Therefore, we cannot determine the variances of X and Y without additional information about their distributions.
Similarly, the covariance between X and Y measures the linear relationship between the two random variables. In this case, since the joint PDF is zero everywhere except for a single point (0, 0), the random variables X and Y are not related, and their covariance is zero.
The variance of the sum of two random variables, Var(X + Y), would require knowledge of the individual variances of X and Y, which are undefined in this context. Without information about their distributions, we cannot compute the variance of their sum.
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A. Find the linear approximating polynomial for the following function centered at the given point a. B. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1 f(x) 11 a=1; approximate 1.06 a. P1(x)= | b. P2(x) = 1 1.06 C. Using the linear approximating polynomial to estimate, (Type an integer or a decimal.) is approximately Using the quadratic approximating polynomial to estimate, (Type an integer or a decimal.) 1 is approximately I 1.06
a. The linear approximating polynomial for the function f(x) centered at a=1 is P1(x) = 11 + (x - 1) * f'(1).
b. The quadratic approximating polynomial for the function f(x) centered at a=1 is P2(x) = 11 + (x - 1) * f'(1) + (x - 1)^2 * f''(1).
c. Using the linear approximating polynomial P1(x), the approximation of f(1.06) is 11 + (1.06 - 1) * f'(1).
Using the quadratic approximating polynomial P2(x), the approximation of f(1.06) is 11 + (1.06 - 1) * f'(1) + (1.06 - 1)^2 * f''(1).
a. To obtain the linear approximating polynomial P1(x) centered at a=1, we need to consider the first derivative of f(x) evaluated at x=a. The linear polynomial can be constructed as P1(x) = f(a) + (x - a) * f'(a), where f'(a) represents the derivative of f(x) at x=a. In this case, the function f(x) is not provided, so we cannot determine the exact form of P1(x) without knowing the specific function.
b. For the quadratic approximating polynomial P2(x) centered at a=1, we consider the second derivative of f(x) evaluated at x=a. The quadratic polynomial can be expressed as P2(x) = f(a) + (x - a) * f'(a) + (x - a)^2 * f''(a), where f''(a) represents the second derivative of f(x) at x=a.
c. Using the linear approximating polynomial P1(x) to approximate f(1.06), we substitute x=1.06 and a=1 into the equation. The approximation is given by P1(1.06) = 11 + (1.06 - 1) * f'(1).
Similarly, using the quadratic approximating polynomial P2(x) to estimate f(1.06), we substitute x=1.06 and a=1 into the equation. The approximation is given by P2(1.06) = 11 + (1.06 - 1) * f'(1) + (1.06 - 1)^2 * f''(1).
However, since the function f(x) and its derivatives are not provided, the exact values for the approximations cannot be determined without further information.
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Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.
a
(4, 3), (2, 2)
Answer:
The slope is 1/2
Step-by-step explanation:
Answer: 0.5
Step-by-step explanation:
The equation for finding a slope is y2 - y1/x2 - x1
so 2 - 3 = -1
and 2 - 4 = -2
so -1/-2 whish is 0.5
1. The Johnson family went to the Olive Garden. The total was $73.28. If they leave a 20% tip, how much
will the tip be?
Answer:
$14.66
Step-by-step explanation:
Given parameters:
Total = $73.28
Percentage tip = 20%
Unknown:
The amount of the tip = ?
Solution:
The tip is the percentage of the total amount;
Tip = \(\frac{20}{100}\) x 73.28 = $14.66
Can you solve for X inside the correct code for question four?
Answer
CIAD
Step-by-step explanation
The Pythagorean theorem states:
\(c^2=a^2+b^2\)where a and b are the legs and c is the hypotenuse of a right triangle.
Applying this theorem to triangle 1:
\(\begin{gathered} x^2=77^2+36^2 \\ x^2=5929+1296 \\ x^2=7225 \\ x=\sqrt{7225} \\ x=85 \end{gathered}\)Then, the first letter is C.
Applying the theorem to triangle 2:
\(\begin{gathered} x^2=39^2+80^2 \\ x^2=1521+6400 \\ x^2=7921 \\ x=\sqrt{7921} \\ x=89 \end{gathered}\)Then, the second letter is I.
Applying the theorem to triangle 3:
\(\begin{gathered} x^2=25^2+100^2 \\ x^2=625+10000 \\ x^2=10625 \\ x=\sqrt{10625} \\ x=103.08 \end{gathered}\)Then, the third letter is A.
Applying the theorem to triangle 4:
\(\begin{gathered} x^2=17^2+52^2 \\ x^2=289+2704 \\ x^2=2993 \\ x=\sqrt{2993} \\ x=54.71 \end{gathered}\)Then, the fourth letter is D.
help pls do not look it up thank you if u r here snog, pls help thx guys
Answer:
Evan is incorrect.
Step-by-step explanation:
20 ÷ 25 =
0.8 =
0.8 × 100% =
80%;
Good luck buddy!
Step-by-step explanation:
20÷25=0.8
0.8x100=80%
A wire is tied from the top of one tower to the top of another. The angle of depression from the top of the taller tower to the top of the shorter tower is 37. If the wire is 100 feet long, find the distance between the towers.
The distance between the two towers is 30 meters, and the height of the second tower (Tower B) is 90 meters.
We have two towers. Let's call the first tower Tower A, and the second tower Tower B. The height of Tower A is given as 30 meters. The angle of elevation of the top of Tower A from the foot of Tower B is 60 degrees. The angle of elevation of the top of Tower B from the foot of Tower A is 30 degrees. Our goal is to find the distance between the two towers and the height of Tower B.
In triangle ABC, where A is the foot of Tower A, B is the top of Tower B, and C is the top of Tower A:
tan(30 degrees) = AB / BC
Since tan(30 degrees) = 1 / √3, we can rewrite the equation as:
1 / √3 = AB / BC
Cross-multiplying, we get:
BC = AB * √3
In triangle ABC:
tan(60 degrees) = AC / BC
Since tan(60 degrees) = √3, we can rewrite the equation as:
√3 = AC / BC
Substituting the value of BC from Step 3:
√3 = AC / (AB * √3)
Cross-multiplying, we get:
AC = AB * 3
We have two equations:
BC = AB * √3
AC = AB * 3
Dividing equation 2 by equation 1:
AC / BC = 3 / √3
Simplifying, we get:
√3 = 3 / √3
Cross-multiplying, we get:
3 = 3
Since 3 = 3 is a true statement, we can conclude that the two towers are at the same distance as their heights. Therefore, the distance between the two towers is 30 meters.
Using the value of the distance between the towers (30 meters), we can substitute this value into one of the previous equations to find the height of Tower B. Let's use equation 2:
AC = AB * 3
Substituting AB with the distance (30 meters):
AC = 30 * 3
Simplifying, we find:
AC = 90 meters
Therefore, the height of Tower B is 90 meters.
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On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
If I earned $2 more than Andrew at the end of the day, then the value of t is \(1\frac{2}{3}\)
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
\(t = 1\frac{2}{3}\)
If I earned $2 more than Andrew at the end of the day, then the value of t is \(1\frac{2}{3}\)
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If the moon is setting at 6 a.m., the phase of the moon must be: a. first quarter b. third quarter c. new d. full e. waning crescent
The phase of the moon that is most likely setting at 6 a.m. is the waning crescent.
If the moon is setting at 6 a.m., we can determine its phase based on its position in relation to the Sun and Earth.
Considering the options provided:
a. First quarter: The first quarter moon is typically visible around sunset, not at 6 a.m. So, this option can be ruled out.
b. Third quarter: The third quarter moon is typically visible around sunrise, not at 6 a.m. So, this option can be ruled out.
c. New: The new moon is not visible in the sky as it is positioned between the Earth and the Sun. Therefore, it is not the phase of the moon that is setting at 6 a.m.
d. Full: The full moon is typically visible at night when it is opposite the Sun in the sky. So, this option can be ruled out.
e. Waning crescent: The waning crescent phase occurs after the third quarter moon and appears in the morning sky before sunrise. Given that the moon is setting at 6 a.m., the most likely phase is the waning crescent.
Therefore, the phase of the moon that is most likely setting at 6 a.m. is the waning crescent.
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Find the area of the quarter circle with a radius of 10 in. Use
3.14 for , and round the answer to the nearest tenth, if
necessary.
10in
The area of the quarter-circle is_______in².
Answer:
314 in²
Step-by-step explanation:
A=3.14r^2
π·10^2≈314
The area of the quarter-circle is 314 in²
write the equation of the line perpendicular to y=3x-1 that passes through the point (3,-4)
explanation or step by step pls
thanku
Answer:
\(y=-\frac{1}{3}x - 3\)
Step-by-step explanation:
Hi there!
We want to write an equation of the line that is perpendicular to y=3x-1 and passes through (3, -4)
Perpendicular lines have slopes that multiply to get the value of negative one.
Let's first figure out the slope of y=3x-1
The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
3 is in the place of where m is, so 3 is the slope of y=3x-1
Now let's find the slope of the line perpendicular to it.
We can use a formula like this:
\(m_1 * m_2= -1\)
If 3 is \(m_1\), then:
\(3*m_2=-1\)
Divide both sides by 3
\(m_2=-\frac{1}{3}\)
So the slope of the perpendicular line is -1/3
We can write this equation in slope-intercept form. So far, we know that the equation of the line is:
y=\(-\frac{1}{3}x + b\)
So let's find b
Remember that we are given that the line passes through the point (3, -4). That means that point is a solution to the equation that we're trying to find. Therefore, the values of that point should create a true statement when plugged into the equation.
So we can substitute 3 as x and -4 as y to help solve for b.
-4=\(-\frac{1}{3}(3)+b\)
Multiply
-4=\(-\frac{3}{3}\) + b
Simplify
-4 = -1 + b
Add 1 to both sides to isolate b
-3 = b
Substitute -3 as b in the equation
\(y=-\frac{1}{3}x - 3\)
Hope this helps!
please help!! Tysm <33
Answer:
\( \frac{p}{3} = 5\)
p = 15
\( \frac{15}{3} = 5\)
Enter the equation of the circle described below.
Center (5,2), radius = 3
Answer:
(x - 5)² + (y - 2)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Here (h, k ) = (5, 2 ) and r = 3 , then
(x - 5)² + (y - 2)² = 3² , that is
(x - 5)² + (y - 2)² = 9
Marcus has a 48-ounce soda. He drinks 15 ounces. What is the percentage of ounces Marcus has left from his soda? Round your answer to the nearest tenth
Answer:
33%
Step-by-step explanation:
48-15=33
33/100*100=33%
Find the domain of (f∘g) where f(x)=1x−2 and g(x)=x+4−−−−√.
The domain of the function (f∘g)(x) is (-∞, ∞)
Domain of a FunctionA domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. The domain of a function is the set of values that we are allowed to plug into our function.
This set is the x values in a function such as f(x).
The range of a function is the set of values that the function assumes. This set is the values
that the function shoots out after we plug an x value in. They are the y values.
Consider this box as a function f(x) = 2x .
Data;
f(x) = 1x - 2g(x) = x + 4(f∘g)(x) = x + 2
The domain of the function (f∘g)(x) is (-∞, ∞)
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the units of the momentum of the t-shirt are the units of the integral ∫t=tlt=0f(t)dt , where f(t) has units of n and t has units of s . given that 1n=1kg⋅m/s2 , the units of momentum are:
Given that f(t) has units of N and t has units of s. And 1N = 1kg.m/s²Therefore the dimensions of f(t) are, [f(t)] = N.As the dimensions of t are [t] = s.
Now the integral of f(t) over time t=0 to t=tl, is given by;`[∫_0^(tl)]f(t)dt`The units of momentum of the t-shirt are the units of the integral`∫_0^(tl) f(t) dt`Where f(t) has units of N and t has units of s.
According to the formula for momentum, p = mv where p is the momentum of the object of mass m moving with velocity v.
The dimensions of momentum are`[M][L]/[T]^2`Where `[M]` is the dimension of mass, `[L]` is the dimension of length, and `[T]` is the dimension of time.As N = kg.m/s², we can write the dimensions of
f(t) as;N = kg.m/s²`[f(t)] = [kg.m]/[s²]`
We can now substitute these dimensions into the integral and simplify as follows;
`[p] = [∫_0^(tl) f(t) dt]
= [f(t)][t]
= [N][s]
= [kg.m/s²] x [s]
= [kg.m/s]`
Therefore, the units of momentum are kg.m/s.
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cooper got 60% off a pair of shoes. if the sale price of the shoes was $19.75 before tax, what was the original
Answer:
It would be (rounded up) 32.92. (not rounded up) 32.91666667
Step-by-step explanation:
Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm
Answer:
A) 66cm³
Step-by-step explanation:
Using the Pythagorean Theorem, the base of the triangle is 4. The area of a triangle is 1/2 base times height. Then you multiply times 11 to get the volume.
1/2(3)(4)(11)=66
how do you solve this?
Answer:
X = 7.8
Step-by-step explanation:
First I will mark all the Information given to us:
Angle 1: 52 Degrees
Angle 2: 90 (Marked by the box) Degrees
Angle 3: 180-(90+52) Triangle Angle Sum Therom
Simplified Angle 3: 38 Degrees
Height: 10
Base: X
Hypo: ? (we will call this y)
In order to solve this problem we must use basic trig functions such as sin, cos and tan.
I will be applying sin for the degree measure of 52 as it is applicable there.
(Sin for refrence sin(angle measure)= side opposite to angle/hypo)
So this would be in our case:
Sin(52)=10/y
Simplify
y sin(52) = 10
y = 10/sin(52) (use a calculator make sure sin is in degrees not radians)
y=10/0.78801
y=12.69018 (We have our hypo value)
We can now apply a²+b²=c²
a²+10²=12.69018²
a²+100=161.040668432 (Calculator)
a²=61.040668432
a=√61.040668432 (calculator)
a=7.81285277168
Rounded to the nearest tenth
7.8 =a=x (X is the a value in this equation)
What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?
Answer:
Its a trapezoid
Step-by-step explanation:
Also you don't have to ask this on brainly
go to desmos its a free graphing calculator
Please mark me brainliest I'm doing a challenge
find the area of triangle whose vertices are (- 8,4 )(- 6,6) and (- 3,9)
Answer:
Area of the triangle = 0
Step-by-step explanation:
We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)
The formula to find the Area of the triangle =
1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Where :
(x₁, y₁) = (- 8,4 )
(x₂, y₂) = (- 6,6)
(x₃, y₃) = (- 3,9)
Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]
= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]
= 1/2[ 24 - 30 + 6)
= 1/2[ 24 + 6 - 30]
= 1/2 [30 - 30]
=1/2[ 0 ]
= 0
Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9) is ZERO( = 0 )