Applying the properties of the diagonal of a rectangle, the value of x is calculated as: x = 37.
How to Find the Value of x Using the Properties of the Diagonals of a Rectangle?A rectangle is a quadrilateral that has two equal diagonals which bisect each other, to form equal segment. Rectangle RSTW has two diagonals RT and SW, therefore:
2(RZ) = SW
Given the following:
RZ = 2x + 7
SW = 5x - 23
Plug in the values:
2(2x + 7) = 5x - 23
4x + 14 = 5x - 23
4x - 5x = -14 - 23
x = 37
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what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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Clarks Inc., a shoe retailer, sells boots in different styles. In early November the company starts selling “SunBoots” to customers for $70 per pair. When a customer purchases a pair of SunBoots, Clarks also gives the customer a 30% discount coupon for any additional future purchases made in the next 30 days. Customers can’t obtain the discount coupon otherwise. Clarks anticipates that approximately 20% of customers will utilize the coupon, and that on average those customers will purchase additional goods that normally sell for $100. Required: 1. How many performance obligations are in a contract to buy a pair of SunBoots? 2. Assume Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon. Prepare a journal entry to record revenue for the sale of 1,000 pairs of SunBoots.
The journal entry is given in answer part b
What is Discount coupon?A discount coupon is defined as a certificate that entitles the customer to avail of a reduction in the invoice price if the terms mentioned on it are met. It is a technique applied by the sellers to expand sales.
Given that, Clarks Inc., a shoe retailer, sells boots in different styles. In early November, the company starts selling “SunBoots” to customers for $70 per pair. When a customer purchases a pair of SunBoots, Clarks also gives the customer a 30% discount coupon for any additional future purchases made in the next 30 days. Customers can’t obtain the discount coupon otherwise. Clarks anticipates that approximately 20% of customers will utilize the coupon, and that on average those customers will purchase additional goods that normally sell for $100.
a) Two performance obligations are associated with contract. The first one is related to the sun boots, and the other one is associated with discount coupon provided. The discount coupon would be considered a separate obligation because it gives a certain right to the customers that they would not have received if the sale was not made to them.
b) Journal entry =
Account title and explanation Debit ($) Credit ($)
Cash (1000×$70) $70000
Sales Revenue ($70,000-$6000) $64000
Deferred Revenue $6000
Now,
Computation of the deferred revenue:
Deferred revenue = pairs sold × Average purchase price × Discount × Redemption of coupon
= 1000 × 100 × 30% × 20%
= $6000
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a)while wages have increased, spending power has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.
How to explain the informationThe fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.
According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.
The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.
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While wages have increased, spending power
a)has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?
Answer:
The answer is 4.47 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
\(density = \frac{mass}{volume} \\\)
From the question
mass = 14.3 g
volume = 3.2 cm³
We have
\(density = \frac{14.3}{3.2} \\ = 4.46875\)
We have the final answer as
4.47 g/cm³Hope this helps you
Answer:
The answer is 4.47 g/cm³
Step-by-step explanation:
tex]3x+4y+-23\\5x+y+-23\)
The solution to the system of equations is x ≈ -4.06 and y ≈ -2.7.
It seems you have provided a system of linear equations. The system can be represented as:
3x + 4y = -23
5x + y = -23
This system can be solved using various methods such as substitution, elimination, or matrix methods. Let's solve it using the method of substitution.
From the second equation, we can express y in terms of x:
y = -23 - 5x
Substituting this value of y into the first equation:
3x + 4(-23 - 5x) = -23
Simplifying the equation:
3x - 92 - 20x = -23
-17x - 92 = -23
-17x = 69
x = -69/17
x ≈ -4.06
Substituting this value of x back into the second equation to find y:
5(-4.06) + y = -23
-20.3 + y = -23
y = -23 + 20.3
y ≈ -2.7
Therefore, the solution to the system of equations is x ≈ -4.06 and y ≈ -2.7.
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Write your answer as an integer or as a decimal rounded to the nearest tenth.
Applying the sine rule the value of side w is calculated to be 6.2
How to find the size of wThe size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal
the formula is
Sin A / a = Sin B / b = Sin C / c
applying the formula for the problem
Sine W / w = Sine X / x
plugging in the values
Sine 38 / w = Sine 84 / 10
cross multiplying
w = 10 x Sin 38 / Sine 84
x = 6.185
x = 6.2 to the nearest tenth
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A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
A
473 miles
B
54 miles
483 miles
D
55 miles
What is 2000 divided by 10?
Answer:
200
brainliest please
Step-by-step explanation:
The quotient of the division problem that 2000 is divided by 10 is 200.
Here the dividend is 2000.
Divisor is 10.
When a division problem contains 10 as the divisor, then the operation of division is easier than the usual.
Here the divisor is 10.
When the divisor of a division problem is 10, then the quotient is the same as the dividend with the decimal point being shifted to the left once.
Here dividend is 2000.
After decimal point is shifted to the left once, the quotient is 200.
Hence the quotient is 200.
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A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
#95141404393
The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
Answer:
power of 3
Step-by-step explanation:
that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000
S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
There is a ratio of 5 apples to 3 pears in a basket. There are 24 pears in the basket. How many apples are in the basker?
Answer:
There are 40 apples in the basket.
This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.
I hope this helped you, have an amazing day! :)
a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?
Answer:
yes
the area of a circle is πr^2
A=πr^2
which means the area of a circle is dependent on the size of the radius of the circle.
Take for instance, the radius is 3cm and π= 3.142
A = 3.142×(3^2)
A = 28.278cm^2
Another example, if the radius of the circle is increased to 4cm, what will be the area.
A = 3.142×(4^2)
A = 50.272cm^2
I will give you the brainliest!!! And 25 points!!!!
Someone solve this for me with explanation please. I need help
The perimeter of the given triangle with given lengths is; 78
What is the perimeter of the triangle?The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.
Now, we are given the triangle as QRS.
We are given that;
A is the midpoint of QR
B is the midpoint of RS
C is the midpoint of SQ
Thus;
QA = RA = 10
BR = SB = 15
SQ = 28
Thus;
Perimeter of Triangle = 2(10) + 2(15) + 28 = 78
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2. A H G B C F E
please show work
Labelling parts of the circle, we have
Radii CD and AC; Secants AE, BK and BGChord BH ; Diameter AD; Tangents FG, EF and EGLabelling the parts of the circleFrom the question, we have the following parameters that can be used in our computation:
The circle
There are no details stating that we need to calculate any length, angle or arc measures on the circle
However, we can label some of the parts of the circle
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What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
The U.S Census Bureau provides data on the number of young adults, age 18-24, who are living in their parents’home. Let
M= the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
If we randomly select a male young adult and a female adult, the Census Bureau data enable us to conclude P(M)=0,56 and P(F)=0,42 (The World Almanac, 2006).The probability that both are living in their parent’home is 0,24
a, What is the probability at least one of the two young adults selected is livingin his or her parent’ home?
b, What is the probability both young adults selected are living on their own (neither is living in their parent’ home?
a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.
b) The probability both young adults selected are living on their own is; 0.26
How to solve Conditional Probability?We are given the events as;
M = the event a male young adult is living in his parent’ home
F = the event a female young adult is living in her parent’ home
We are also given that;
Probability that a male young adult is living in his parent’ home; P(M) = 0.56
Probability that a female young adult is living in her parent’ home; P(F) = 0.42
a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;
P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)
= 0.56 + 0.42 - 0.24 = 0.74.
B) The probability both young adults selected are living on their own which means neither is living with their parents is;
P(neither living with parents) = 1 - P(M or F)
= 1 - 0.74 = 0.26.
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A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is nothing.\
Answer:
The probability that a randomly selected student is female or a physics major is 0.65.
Step-by-step explanation:
Note: This question is not complete. A complete is therefore provided before answering the question as follows:
A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is_______.
The Step-by-step explanation is therefore provided now as follows:
The probability that a randomly selected student is female or a physics major can be calculated using the following formula:
P(PM or F) = P(PM) + P(F) - P(PMF)
Where;
P(PM or F) = Probability of student selected is Physics Major or Female = ?
P(PM) = Probability of student selected is Physics Major = Number of Physics Major / Total number of students in the Physics class = 14 / 40 = 0.35
P(F) = Probability of student selected is Female = Number of female students in the Physics class / Total number students in the Physics class = 18 / 40 = 0.45
P(PMF) = Probability of student selected is Physics Major and Female = Number Physics Major that female in the Physics class / Total number students in the Physics class = 6 / 40 = 0.15
Substituting the values into equation (1), we have:
P(PM or F) = 0.35 + 0.45 - 0.15 = 0.65
Therefore, the probability that a randomly selected student is female or a physics major is 0.65.
Answer:
what is the physics question
Step-by-step explanation:
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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I need some help with this problem please
Answer:
the answer is 135
Step-by-step explanation:
Evaluate the given integral by changing to polar coordinates.
Integar sin(x2 + y2) dA R
where R is the region in the first quadrant between the circles with center the origin and radii 1 and 5.
In polar coordinate, R is the set of points
{(r, θ) | 1 < r < 5 and 0 < θ < π/2}
So the integral is
\(\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA = \int_0^{\frac\pi2}\int_1^5 r\sin(r^2)\,\mathrm dr\,\mathrm d\theta\)
\(=\displaystyle\frac\pi2\int_1^5 r\sin(r^2)\,\mathrm dr\)
\(=\displaystyle\frac\pi4\int_1^5 2r\sin(r^2)\,\mathrm dr\)
\(=\displaystyle\frac\pi4\int_1^{25} \sin(s)\,\mathrm ds\)
(where s = r ²)
\(=\displaystyle-\frac\pi4\cos(s)\bigg|_1^{25}= \boxed{\dfrac\pi4 (\cos(1) - \cos(25))}\)
If A varies directly as the cube root of B and if A = 3 when B= 64, find the formula con- necting the variables.
Answer:
A = \(\frac{3}{4}\) \(\sqrt[3]{B}\)
Step-by-step explanation:
Given A varies directly as \(\sqrt[3]{B}\) then the equation relating them is
A = k \(\sqrt[3]{B}\) ← k is the constant of variation
To find k use the condition A = 3 when B = 64 , then
3 = k \(\sqrt[3]{64}\) = 4k ( divide both sides by 4 )
\(\frac{3}{4}\) = k
A = \(\frac{3}{4}\) \(\sqrt[3]{B}\) ← equation of variation
Express cos M as a fraction in simplest terms.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)
what is angle 1 in the picture called
Answer:
obtuse, right, acute
Step-by-step explanation:
OBTUSE is an angle greater than 90
RIGHT the angle is 90
ACUTE is an angle that is less than 90
y+2=1/2(x+2) graph this equation!!
Answer:
See attached.
Step-by-step explanation:
what is 3х - 4<-19=
Answer:
x= -5
Step-by-step explanation:
3х - 4<-19=
add +4 to both sides
3x<-15
divide 3 on both sides
x<-5
might have to rewrite the final answer
Simplify the Equation Below Pls answer :(
8x - 7 + 6x + 3
Answer:
14x-4
Step-by-step explanation:
8x-7+6x+3
8x+6x-7+3
14x-7+3
14x-4
Answer:
\( \sf \: 14x - 4 \)
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 8x - 7 + 6x + 3
Let's simplify the expression,
→ 8x - 7 + 6x + 3
→ 8x + 6x - 7 + 3
→ (8x + 6x) + (-7 + 3)
→ (14x) + (-4)
→ 14x - 4
Hence, the answer is 14x - 4.
4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1
The solution of the system of linear equations, is (1.167, 3.667).
Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,
y = -2x+6............(i)
y = 4x - 1.......(ii)
Equating the equations since the LHS is same,
-2x+6 = 4x-1
6x = 7
x = 1.167
Put x = 1.16 to find the value of y,
y = 4(1.16)-1
y = 4.66-1
y = 3.667
Therefore, the solution of the system of linear equations, is (1.167, 3.667).
You can also find the solution using the graphical method,
Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]
Hence, the solution of the system of linear equations, is (1.167, 3.667).
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