Answer:
[tex]512 ^{2} [/tex]
the area of the picture
After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a constant rate of
4.3
m
2
4.3m
2
4, point, 3, start text, m, end text, squared per hour, while María removes
3.4
m
2
3.4m
2
3, point, 4, start text, m, end text, squared of paper per hour. Gilberta's room starts with
35
m
2
35m
2
35, start text, m, end text, squared of paper, and María's room starts with
30.5
m
2
30.5m
2
30, point, 5, start text, m, end text, squared of paper.
Let
t
tt represent the time, in hours, since Gilberta and María start removing the wallpaper.
Complete the inequality to represent the times when Gilberta has more wallpaper left in her room than María has in hers.
t
tt
select inequality symbol
hours
Show Calculator
Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we consider:
The initial amount as the y-intercept.The rate as the slope.Hence the amounts Gilberta and Maria have left after t hours are given by:
G(t) = 35 - 4.3t.M(t) = 30.5 - 3.4t.Gilberta has more papers when:
G(t) > M(t).
Hence:
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
Hence the inequality is:
t < 5.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Answer:
t < 5
Step-by-step explanation:
Other dude is right but here's the version without explanation
Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 37 feet tall. A) –13.7
The scuba diver was 37 feet below sea level. B) 2.5
The basement is 13.7 feet below ground. C) −37
Oliver owes his sister $25. D) 37
Erica jumped 2.5 feet above the ground. E) –25
The statements with their correct matches in relation to 0 are:
A building is 37 feet tall - 37The scuba diver was 37 feet below sea level = −37The basement is 13.7 feet below ground = –13.7Oliver owes his sister $25 = -25Erica jumped 2.5 feet above the ground = 2.5 What are the values in relation to 0?When a building is 37 feet tall, it means that if 0 feet was the ground level, the building would be 37 higher than 0. This is the same for the basement which will be -13.7 in relation to a ground level of 0.
Erica jumping 2.5 feet above the ground is 2.5 in relation to 0feet and the scuba driver is -37 by the same relation to 0 feet.
Oliver owes his sister $25 which means that in relation to a state of no debt or $0, Oliver is -25 deep in debt.
Find out more on elevations in relation to ground level at https://brainly.com/question/88158
#SPJ1
Una página de plástico diseñada para guardar cromos puede contener hasta 9 cartas. ¿Cuántas páginas se necesitarán para almacenar 517 tarjetas? Dé una respuesta numérica adecuada a la pregunta. (Encuentre el número contable mínimo que funcionará).
Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.´
¿Cuántas páginas se necesitarán para almacenar 517 tarjetas?Sabemos que cada página puede almacenar hasta 9 cartas.
Entonces queremos ver cuantos grupos de 9 cartas hay en el conjunto de 517, para ver esto tomamos el cociente entre 517 y 9.
N = 517/9 = 57.44
Y no podemos tener un numero racional, así que debemos redondear al proximo número entero, que es 58.
Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.
Sí quieres aprender más sobre cocientes:
https://brainly.com/question/3493733
#SPJ1
If s(x) = 2 - x and t(x) = 3x, which value is equivalent to (s•f)(-7)?
Answer:
Step-by-step explanation:
t(-7)= 3(-7)= -21
s(-21)= 2-(-21)= 2 + 21= 23
Two jets leave an air base at the same time and travel in opposite directions. One jet travels 80 mi/h faster than the other. If the two jets are 11392 miles apart after 8 hours, what is the rate of each jet?
Jet 1 moves with a speed of 672 mi/h, while jet 2 moves with a speed of 672 mi/h + 80mi = 752 mi/h.
How to get the rate of each jet?
Let's say that the rate (or speed) of the slower jet is R, then the rate of the faster jet is:
R + 80mi/h
Now, if we step on any of the two jets (such that we view it as if it doesn't move) the other jet will move with a speed equal to:
S = R + R + 80mi/h
We know that after 8 hours, the to jets are 11,392 mi apart, then we know that:
(R + R + 80mi/h)*8h = 11,392 mi
Now we can solve that for R:
2*R + 80mi/h = 11,392 mi/8h = 1,424 mi/h
R = 1,424 mi/h - 80mi/h)/2 = 672 mi/h
So Jet 1 moves with a speed of 672 mi/h, while jet 2 moves with a speed of 672 mi/h + 80mi = 752 mi/h.
If you want to learn more about speed:
https://brainly.com/question/4931057
#SPJ1
17. What is the probability that the student will play football and baseball? (a) 28 /33 (b) 35 /66 (c) 4 /33 (d) 8 /11
Someone help me with this question !,
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The side opposite to the largest angle is the longest side of a triangle.
[tex] \qquad \large \sf {Conclusion} : [/tex]
hence, we can conclude that longest side is e
( since it's opposite angle is the largest, i.e 86° )
the sum of three numbers is 3068.Two of the numbers are 1266 and 1755,find the third number
Answer:
47
Step-by-step explanation:
3068 - 1266 - 1755 = 47
Answer:
The third number is 47.
Step-by-step explanation:
The sum of three numbers is 3068 - this can be expressed mathematically as:
[tex]\displaystyle{x + y + z = 3068}[/tex]
Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:
[tex]\displaystyle{1266 + 1755 + z = 3068}[/tex]
Find the third number - solve for z-variable:
[tex]\displaystyle{3021 + z = 3068}\\\\\displaystyle{z = 3068-3021}\\\\\displaystyle{z = 47}[/tex]
Therefore, the third number is 47.
Find the equation of the line that passes through point (6,1) with the x-intercept of 2.
Answer:
y=1/4x-1/2
Step-by-step explanation:
Middler Corporation, a manufacturer of electronics and communications systems, uses a service department charge system to charge profit centers with Computing and Communications Services (CCS) service department costs. The following table identifies an abbreviated list of service categories and activity bases used by the CCS department. The table also includes some assumed cost and activity base quantity information for each service for October.
CCS Service
Category
Activity Base
Budgeted Cost Budgeted Activity
Base Quantity
Help desk Number of calls $160,000 3,200
Network center Number of devices monitored 735,000 9,800
Electronic mail Number of user accounts 100,000 10,000
Smartphone support Number of smartphones issued 124,600 8,900
One of the profit centers for Middler Corporation is the Communication Systems (COMM) sector. Assume the following information for the COMM sector:
• The sector has 5,200 employees, of whom 25% are office employees.
• All the office employees have been issued a smartphone, and 96% of them have a computer on the network.
• One hundred percent of the employees with a computer also have an e-mail account.
• The average number of help desk calls for October was 1.5 calls per individual with a computer.
• There are 600 additional printers, servers, and peripherals on the network beyond the personal computers.
a. Determine the service charge rate for the four CCS service categories for October.
CCS Service Category Service Charge Rate
Help desk $fill in the blank 1
Per call
Network center $fill in the blank 3
Per device monitored
Electronic mail $fill in the blank 5
Per user or e-mail account
Smartphone support $fill in the blank 7
Per smartphone issued
The answers to the service charge rate are:
50751014How to determine the service charge rate for the month of OctoberThis is the number of calls for the help desk
160000/3200 = 50per call
For the network center
735000/9800
= 75 per device that was monitored
For the Electronic mail
100000/10000 =
10 for the mail account
For local voice support
124600/8900
= 14 per phone extension
Read more on budgeted cost here:
brainly.com/question/16683724
#SPJ1
Question 2 of 25
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
A. 0.26
B. 0.24
C. 0.28
D. 0.25
SUBMIT
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
How to estimate the sample proportion?We know that the confidence interval for sample proportion exists estimated as;
90% confidence interval = Sample proportion Margin of Error
Here, let [tex]$\hat{p}[/tex] = sample proportion
Level of significance = 1 - 0.90 = 0.[tex]$(0.22,0.28)=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]10 or 10% Critical value of z at 5% (two-sided) level of significance exists 1.645.
So, 90% confidence interval [tex]$=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots(1)$[/tex]
[tex]$0.28=\hat{p}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots (2)[/tex]
From (1) and (2) , we get;
[tex]$&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\[/tex]
Simplifying the equation, we get
[tex]$&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22 \\[/tex]
[tex]$&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06 \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645} \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.02[/tex]
Now, squaring both sides, we get;
[tex]$\frac{\hat{p}(1-\hat{p})}{n}=0.0004 \\[/tex]
[tex]$n=\frac{\hat{p}(1-\hat{p})}{0.0004}[/tex]
Now, putting value of n in (1), we get;
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{\hat{p}(1-\hat{p})} \times 0.0004}$[/tex]
Simplifying the equation, we get
[tex]$0.22=\hat{p}-1.645 \times \sqrt{0.0004}$[/tex]
[tex]$0.22=\hat{p}-(1.645 \times 0.02)$[/tex]
[tex]$0.22=\hat{p}-0.033$[/tex]
[tex]$\hat{p}=0.22+0.033=0.253$[/tex].
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
Therefore, the correct answer is option D. 0.25.
To learn more about confidence interval refer to:
https://brainly.com/question/17212516
#SPJ9
Which function represents g(x), a reflection of f(x) = 1/2(3)^x across the y-axis?
The equation for the reflected function is:
g(x) = (1/2)*(3)^(-x)
How to get the reflected function?
Here we know that function g(x) is a reflection of f(x) across the y-axis.
Remember that the reflection is written as:
g(x) = f(-x)
Here we know that:
f(x) = (1/2)*(3)^x
Then, replacing that in the equation for g(x), we get:
g(x) = f(-x) = (1/2)*(3)^(-x)
g(x) = (1/2)*(3)^(-x)
If you want to learn more about reflections:
https://brainly.com/question/4289712
#SPJ1
Some of the steps in the derivation of the quadratic formula are shown. Step 4: StartFraction negative 4 a c + b squared Over 4 a EndFraction = a ( x + StartFraction b Over 2 a EndFraction) squared Step 5: (StartFractio.n 1 Over a EndFraction) StartFraction b squared minus 4 a c Over 4 a EndFraction = (StartFraction 1 Over a EndFraction) a (x + StartFraction b Over 2 a EndFraction) squared Step 6: StartFraction b squared minus 4 a c Over 4 a squared EndFraction = ( x + StartFraction b Over 2 a EndFraction) squared Step 7: StartFraction plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction = x + StartFraction b Over 2 a EndFraction Which best explains why the expression plus or minus StartRoot b squared minus 4 a c EndRoot cannot be rewritten as b plus or minus StartRoot negative 4 a c EndRoot during the next step? Negative values, like −4ac, do not have a square root. The ± symbol prevents the square root from being evaluated. The square root of terms separated by addition and subtraction cannot be calculated individually. The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.
How to use the quadratic formula?
The general formula for a quadratic equation is;
ax² + bx + c = 0
Now, the steps to derive quadratic formula to find the roots of this equation are as follows;
Step 1; Divide both sides of the equation by a to get;
x² + (b/a)x + c/a = 0
Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x = -c/a
Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² = -c/a + b²/4a²
Step 4; Factor the left side and combine the right side to get;
(x + (b/2a))² = (b² - 4ac)/(4a²)
Step 5: Extract the square-root of both sides of the equation to get;
x + (b/2a) = ±(√(b² - 4ac))/2a
The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.
Read more about Quadratic Formula at; https://brainly.com/question/8649555
#SPJ1
30,098 in standard form full working pliz
Did not understand "full working pliz".
Find the missing number
1 4 6 2 5 7 8 9 7 15 41 ?
Answer:
43
Step-by-step explanation:
I would see a pattern like this
1 4 6 2 5 7 8 9 7 15 41 ?
------------------- ---------
start pattern key
then
15 = 8 × 2 - 1
a10 = a7 × a4 - a1
41 = 9 × 5 - 4
a11 = a8 × a5 - a2
? = 7 × 7 - 6 = 43
a12 = a9 × a6 - a3
8 ABC please trig assignment
Using equivalent angles, the solutions are given as follows:
a) [tex]x = \frac{15\pi}{23}[/tex].
b) [tex]x = \frac{9\pi}{62}, x = \frac{53\pi}{62}[/tex].
c) [tex]x = \frac{3\pi}{8}, \frac{11\pi}{8}[/tex]
What are equivalent angles?Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
For item a, we have to find the equivalent angle on the 2nd quadrant, where the sine is also positive.
Hence:
[tex]\pi - \frac{8\pi}{23} = \frac{23\pi}{23} - \frac{8\pi}{23} = \frac{15\pi}{23}[/tex]
Hence [tex]x = \frac{15\pi}{23}[/tex].
For item b, if two angles are complementary, the sine of one is the cosine of the other.
Complementary angles add to 90º = 0.5pi, hence:
[tex]x + \frac{11\pi}{31} = \frac{\pi}{2}[/tex]
[tex]x = \frac{31\pi}{62} - \frac{22\pi}{62}[/tex]
[tex]x = \frac{9\pi}{62}[/tex]
The equivalent angle on the second quadrant is:
[tex]\pi - \frac{9\pi}{62} = \frac{62\pi}{62} - \frac{9\pi}{62} = \frac{53\pi}{62}[/tex]
Hence the solutions are:
[tex]x = \frac{9\pi}{62}, x = \frac{53\pi}{62}[/tex]
For item c, the angles are also complementary, hence:
[tex]x + \frac{\pi}{8} = \frac{\pi}{2}[/tex]
[tex]x = \frac{4\pi}{8} - \frac{\pi}{8}[/tex]
[tex]x = \frac{3\pi}{8}[/tex]
The tangent is also positive on the third quadrant, hence the equivalent angle is:
[tex]x = \pi + \frac{3\pi}{8} = \frac{8\pi}{8} + \frac{3\pi}{8} = \frac{11\pi}{8}[/tex]
Hence the solutions are:
[tex]x = \frac{3\pi}{8}, \frac{11\pi}{8}[/tex]
More can be learned about equivalent angles at https://brainly.com/question/28163477
#SPJ1
which description from the list below accurately describe the relationship between QRS and TUV? check all that apply
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle QRS was translated to form triangle TUV, hence both triangles have the same shape, same size and are congruent.
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1
Answer: All of the above
Step-by-step explanation:
I did the test
A car traveled at an average speed of 80 km/h for 5 hours. What was
the distance traveled?
Answer:
400 km
Step-by-step explanation:
Distance = rate times time
Distance = 80(5)
Distance = 400
How to make 3 dimensional object to 4 dimensional object
In order to make 3 dimensional object to 4 dimensional object, it's important to draw the 4 dimensional shape in a way that gives the illusion of the 3 dimensional object.
How to illustrate the information?It should be noted that shapes play an important part in geometry.
Here, to make make 3 dimensional object to 4 dimensional object, it's important to draw the 4 dimensional shape in a way that gives the illusion of the 3 dimensional object.
Also, it should be noted that a 4D tesseract can be used to project the image.
Learn more about shapes on:
brainly.com/question/25965491
#SPJ1
Joyce paid $59.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
=91.5384615385
Step-by-step explanation:
(59.5/65)x100= 91.5384615385
What is the value of x in the equation −6 + x = −2? Answer A. 8 B. 3 C. -4 D. -8
someone help me
Answer:
x = 4
Step-by-step explanation:
You can solve for "x" by rearranging the equation and getting the "x" by itself on one side. Remember, whatever you do to one side of the equation, you must do to the other side.
-6 + x = -2 <----- Original equation
+6 +6 <----- Add 6 to both sides to isolate "x"
0 + x = 4 <----- After the addition
x = 4 <----- Rewrite
Answer:
None of the above (x = 4) [tex] \sf {} [/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ -6 + x = -2
Then the value of x will be,
→ -6 + x = -2
→ x = -2 + 6
→ [ x = 4 ]
Hence, the value of x is 4.
HELP
If 10% of x is 20, what is 23% of x?
Answer:
46
Step-by-step explanation:
Answer:
46
According to question,
10% × x = 20
x = 20 ÷ 10%
x = 20 ÷ 0.1
x = 200
Now find 23% of x
23% × 200
0.23 × 200
46
If a number is tripled & the result is increased by 5, we get 50. Find the number.
Solution:
Let x be the number
Triple the number=3x
According to the question,
3x+5=50
⇒3x+5−5=50−5 [Subtract 5 from both sides]
⇒3x=45
⇒ x = 45/3
[Divide 3 from both sides]
⇒x=15
∴15 is the required number. When it is tripled and increased by 5, we get 50.
10005²³ x + cos x = 11 sin²x = 9
Jeff decided to purchase a house, his mortage is a 30-year loan at 4.1 % compounded monthly. The final purchase price was $150,000.00 Jeff put down 2808.00 at closing. Find Jeffs monthly payment
Answer:
$711.23
Step-by-step explanation:
We assume the entire closing cost went to reducing the principal of the loan. Then the amount borrowed was $147,192.
Monthly paymentThe amortization formula tells you the monthly payment.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
P is the principal, r is the annual rate, and t is the number of years.
The monthly payment is ...
A = $147,192(0.041/12)/(1 -(1 +0.041/12)^-360) ≈ $711.23
Jeff's monthly payment is $711.23.
INDUSTRIES IS CONSIDERING PURCHASING A CERTAIN STOCK. AFTER
CONSIDERABLE RESEARCH, THE BOARD MEMBERS DETERMINE THAT THERE IS A 60% CHANCE OF MAKING $8000, A 10% CHANCE OF BREAKING EVEN, AND A 30% CHANCE
OF LOSING $6200. FIND THE EXPECTATION OF THIS PURCHASE
The numbers 1, 2, 3, 4,5, 6, 7, 8, 9 are arranged in a list so that each number is either greater than all the numbers that come before it or is less than all the numbers that come before it. For example, 4, 5, 6, 3, 2, 7, 1, 8, 9 is one such list: Notice that (for instance) the 6 is greater than all the numbers that come before it, and the 2 is less than all the numbers that come before it. How many such lists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are possible?
The lists of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 that are possible is; 256
How to Solve Probability Combinations?
We are told that the last digit has to be either a one (1) or nine (9), then are two (2) options (>,<) for the remaining eight digits, so there are 2⁸ = 256 arraignments where each digit is either greater than or less than the preceding digits. This can be confirmed as below;
Numbers beginning with 1 = 8C0 = 1
Numbers beginning with 2 = 8C1 = 8
Numbers beginning with 3 = 8C2 = 28
Numbers beginning with 4 = 8C3 = 56
Numbers beginning with 5 = 8C4 = 70
Numbers beginning with 6 = 8C5 = 56
Numbers beginning with 7 = 8C6 = 28
Numbers beginning with 8 = 8C7 = 8
Numbers beginning with 9 = 8C8 = 1
Total lists of numbers possible = 1 + 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 256
Read more about Probability Combinations at; https://brainly.com/question/25688842
#SPJ1
The legs of a 45-45-90 triangle has lengths of 21. What is the length of the hypotenuse?
Answer:
[tex]21 \sqrt{2} [/tex]
Step-by-step explanation:
See attached image.
The Lao Construction Company recognizes revenue over time according to percentage of completion for its long-term construction contracts. In 2024, Lao began work on a construction contract. Information on this contract at the end of 2024 is as follows: Cost incurred during the year = $ 1,500,000 Estimated additional cost to complete = $6,000,000 & Gross profit recognized in 2024 = $250,000. What is the contract price (total revenue) on this contract?
The contract price is $8,750,000
What is contract price?
Contract price means the amount Lao Construction Company charged the customer for total contract's execution.
We need to ascertain the percentage completion of the project first and foremost, which is the total costs incurred to date divided by the contract's total costs.
cost incurred to date=$ 1,500,000
total contract's cost=cost incurred to date+ expected future costs
total contract's cost=$1,500,000+$6,000,000
total contract's cost=$7,500,000
% completion=$1,500,000/$7,500,000
% completion=20%
gross profit recognized=(contract price*% completion)-costs incurred till date
gross profit recognized=$250,000
contract price=unknown(assume it is X)
% completion=20%
cost incurred to date=$ 1,500,000
$250,000=(20%*X)-$1,500,000
$250,000+$1,500,000=0.20X
$1,750,000=0.20X
X=$1,750,000/0.20
X=$8,750,000
Find out more about contract pricing on:https://brainly.com/question/14315509
#SPJ1
Solve the system. 9=4x-2y 2x+6=y
Step-by-step explanation:
4x-2y = 9 ...1
2x-y = -6 ...2
if ...2 × 2
4x-2y = -12
9 is not equal to -12