The values for x and y are as follows: ( x = 25 ) feet and ( y = 15 ) feet.
Explanation:To find the values of x and y, we can set up a system of equations based on the given information. Let( x ) be the side length of the large square and ( y ) be the side length of the small square. The perimeter of the entire fence is given by ( 4x + 4y = 350) feet, and the total area enclosed by the fence is( xy + xy = 2xy = 6125 ) square feet.
First, we solve the perimeter equation for x
4x + 4y = 350
[tex]\[ x + y = \frac{350}{4} \][/tex]
x + y = 87.5
Now, we have two equations:
x + y = 87.5
2xy = 6125
We can substitute the value of ( x + y ) from the first equation into the second equation:
2xy = 6125
2(87.5 - y)y = 6125
175y - 2y² = 6125
y² - 87.5y + 3062.5 = 0
Solving the quadratic equation, we find two possible values for y However, since the side length cannot be negative, we discard the smaller value, leaving us with y = 15 feet. Substituting this into the first equation, we find x = 25feet.
Therefore, the final answer is x = 25 feet and y = 15 feet.
In a housing project there are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish. If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English?a- .002b- .14c- .3d- .43
Answer: C. 0.3
Step-by-step explanation:
Given : Number of English speaking households =350
Number of Spanish speaking households =50 (1)
Number of households in which the language is other than English or Spanish=100 (2)
Total households participates in this survey =350+50+100=500
No. of households not speak English =100+50=150 (Add (1) and (2))
If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English will be :_
[tex]\dfrac{\text{No. of households not speak English}}{\text{Total households}}\\\\=\dfrac{150}{500}\\\\=\dfrac{3}{10}=0.3[/tex]
Hence, the correct option is option (c).
help asap ( will give brainliest )
Answer:
B
Step-by-step explanation:
the open circle at -9 indicates that x is "greater than" -9, whereas the filled circle at -5 indicates that x is " less than or equal" to -5
A company had the following direct materials cost information:
Standard costs assigned: Direct materials standard cost (405,000 units @ $2/unit) $810,000
Actual costs: Direct Materials costs incurred (403,750 units @ $2.20/unit) $888,250
What was the cost variance?
a) $2,500 Favorable.
b) $78,250 Favorable
c) $78.250 Unfavorable
d) $80,750 Favorable.
e) $80,750 Unfavorable.
Answer:
Option c) $78,250 unfavorable
Step-by-step explanation:
The given information in the question :
Standard cost = $810,000
Actual cost = $888,250
Cost variance can be calculated as using the following formula :
Cost variance = standard cost - actual cost
= 810,000 - 888,250
= ($78,250) unfavorable
Favorable indicates how much under budget the project.
unfavorable indicates how much over budget the project.
Therefore, Option c) 78,250 unfavorable is the answer.
Addison painted her room. She had 505050 square meters to paint, and she painted at a constant rate. After 222 hours of painting, she had 353535 square meters left. Let yyy represent the area (in square meters) left to paint after xxx hours. Complete the equation for the relationship between the area and number of hours.
Answer:
y = 50 - 7.5x
Step-by-step explanation:
Given,
The original area for painting = 50 m²,
Let c meter per hour be the constant rate of painting,
So, after 2 hours, the area painted = 2c m²,
Thus, the area left to paint = 50 - 2c
According to the question,
50 - 2c = 35
2c = 15
⇒ c = 7.5
i.e. the constant rate of painting is 7.5 meters per hour,
Hence, the area left after x hours = 50 - 7.5x
If y represents the area left to paint after x hours,
Then,
y = 50 - 7.5x
Which is the required equation.
A cash register at a store contains $66 bills. There are 6 more $5 bills than $10 bills. The number of $1 dollar bills is three times more the number of $10 dollar bills. How many bills of each kind are there?
Answer: There are 8 $5 bills, 2 $10 bills, and 6 $1 bills.
Step-by-step explanation: If you have 6 more $5 bills than the number of $10 bills, that means you have at least 6 to start off with. This also means you have at least 1 $10 bill. If you have 1 $10 bill, then you have 3 $1 bills as well. Adding those bills up, you get $43. From here, you know you need $3 more. Meaning you have to add another $10 bill. Since you added another $10 bill, you have to equal out the $5 bills.
So if you know you have 2 $10 bills and 6 $1 bills, you can determine that you need 8 $5 bills to complete the set.
2 $10 = $20
8 $5 = $40
6 $1 = $6
$20 + $40 + $6 = $66
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 800 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 8 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value. (Round your answer to one decimal place.)
Answer:
t = 100 ln 100
Step-by-step explanation:
D(t) : The amount of dye (in g) at time t (in min)
D(0) = 800 L * 1 g/L = 800 g
the change in D is:
[tex]\frac{dD(t)}{dt} =D_{in}- D_{out} \\D_{in}: 0*8\ g/min \\D_{out}: \frac{D(t)}{800} *8\ g/min \\\frac{dD(t)}{dt} = -\frac{1}{100}D(t)[/tex]
[tex]\frac{dD(t)}{D(t)} =-\frac{1}{100}dt \\\int\limits^{D(t)}_{800} {\frac{1}{D(t)} } \, dD(t) =\int\limits^t_0 {t} \, dt \\ln(\frac{D(t)}{800})=-\frac{1}{100}t \\D(t) = 800e^{-\frac{1}{100}t} \\Solving\ D(t) = 0.01* D(0)=0.01*800 =8 \\8 = 800e^{-\frac{1}{100}t} \\ln (\frac{1}{100})=-\frac{1}{100}t \\100 ln 100 = t[/tex]
Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
A.[tex]m\angle ABD=m\angle ABC[/tex]
Step-by-step explanation:
We are given that a ray BA bisects angle DBC.
We have to find true statement .
Angle bisector property:When a ray bisect any angle then the angles made by bisection of angle are equal.
When ray BA bisects angle DBC
Then, [tex]m\angle ABD=m\angle ABC[/tex]
By angle bisector property.
Therefore, option A is true.
Answer:A.[tex]m\angle ABD=m\angle ABC[/tex]
Answer:
A
Step-by-step explanation:
Because I said this was the answer. I know all.
Two angles are complementary. One angle measures 20 degrees more than the other angle. Find the measure of the LARGER angle. Just type in the answer. Do not type in a variable or the degree symbol.
Two complementary angles equal 90 degrees.
If one is 20, the larger one would be 90 - 20 = 70 degrees.
The function f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? All real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1
Answer: all real numbers greater than it equal to negative one.
Step-by-step explanation: if you graph this equation you see that the vertex is at (3,-1). We know that Range is all possible Y values.so, By looking at their graph we can see that the lowest point it touches is at -1. The rest of the graph goes off into positive and negative infinity.
Range= Y is greater than it equal to -1.
Answer:
All real numbers greater than or equal to −1
Step-by-step explanation:
Here, the given parabola,
[tex]f(x) = (x-4)(x-2)[/tex]
[tex]f(x) = x^2-4x-2x + 8[/tex]
[tex]f(x) = x^2 - 6x+8[/tex]
∵ Leading term = positive
So, the parabola is upward.
We know that an upward parabola is minimum at its vertex
Or it gives minimum output value at its vertex.
for instance, If (h, k) is the vertex of an upward parabola,
then its range = { x : x ≥ k, x ∈ R }
Note : Range = set of all possible output values
We have given,
Vertex = (3, -1)
Hence, Range = all real numbers greater than or equal to −1
LAST option is correct.
For what values of b are the vectors \langle -46, b, 10 \rangle and \langle b, b^2, b \rangle orthogonal
Answer:
b = 6 or b = -6 (non-zero vectors)
b = 0 (zero vector)
Step-by-step explanation:
Two vectors [tex]\vec{a}=\langle a_1,a_2,a_3\rangle[/tex] and [tex]\vec{b}=\langle b_1,b_2,b_3\rangle[/tex] are orthogonal if their dot product is equal to 0, or in other words
[tex]a_1\cdot b_1+a_2\cdot b_2+a_3\cdot b_3=0[/tex]
In your case,
[tex]\vec{a}=\langle -46, b, 10\rangle\\ \\\vec{b}=\langle b,b^2,b\rangle[/tex]
Hence, if vectors a and b are orthogonal, then
[tex]-46\cdot b+b\cdot b^2+10\cdot b=0\\ \\-46b+b^3+10b=0\\ \\b^3-36b=0\\ \\b(b^2-36)=0\\ \\b(b-6)(b+6)=0\\ \\b=0\text{ or }b=6\text{ or }b=-6[/tex]
Note, then if b = 0, then [tex]\vec{b}=\langle 0,0,0\rangle[/tex] and zero-vector is orthogonal to any other vectors.
Thus, b = 6 or b = -6.
Two boats leave port at the same time. One goes west and the other south. The speed of the southbound boat is 5 mph more than the westbound boat. After 3 hours the boats are 27 miles apart. Find the speed of the southbound boat. Round to the nearest tenth of a mile per hour.
Westbound boats speed = X
Southbound boats speed = X + 5
In 3 hours they are 27 miles apart:
3X + 3(x+5) = 27
Simplify:
3x + 3x +15 = 27
Combine like terms:
6x + 15 = 27
Subtract 15 from both sides:
6x = 12
Divide both sides by 6:
x = 12/6
x = 2
Westbound was 2 miles per hour
Southbound was 2 +5 = 7 miles per hour
Check:
2 miles per hour x 3 hours = 6 miles
7 miles per hour x 3 hours = 21 miles
21 + 6 = 27 miles
Help! Simplify (see photo) pls explain
If you don’t know pls don’t answer thanks
Answer:
[tex]-8 \sqrt{6}[/tex]
Step-by-step explanation:
[tex]4i\sqrt{-24} \\4i\sqrt{-1} *\sqrt{24} \\4i*i*\sqrt{4}*\sqrt{6}\\-4 * 2*\sqrt{6} \\-8 \sqrt{6}[/tex]
.
[tex]\sqrt{-1} =i \\i*i = -1[/tex]
A seven digit numer that has a 0 in the ones place a 6 in the ten thousends place an 8 in the millions place and fives in each of the remaining places.What is the number
That number is 8,565,550.
Answer:
8,565,550.
Step-by-step explanation:
The number is 8,x6x,xx0 where all the x's = 5 so the answer is:
8,565,550.
PLZ HURRY IT'S URGENT!!
Which shows the phrase "the difference between a number and 10" as a variable expression?
x−10
10x−10
x + 10
−10x
Answer: x-10
Since you're finding the difference of a number, x, and 10, you would do x-10.
Final answer:
The variable expression for "the difference between a number and 10" is represented by x − 10, which implies the subtraction of 10 from a variable x.
Explanation:
The phrase "the difference between a number and 10" as a variable expression is represented by x − 10. When we discuss 'the difference' in mathematical terms, we are referring to the result of subtracting one number from another. Here, whatever the unknown number (represented by the variable x) is, we are subtracting 10 from it.
An independent-measures research study uses a total of 18 participants to compare two treatment conditions. If the results are used to construct a 90% confidence interval for the population mean difference, then the t values will be ±1.746.a) Trueb) False
Answer:
The answer is false
Step-by-step explanation:
In a sample above 30 obs like this the confidence interval is defined as
X+- t* (s/sqrt(n)) where X is the mean t the tvalue for a given confidence level, n the size of sample and s standar deviation.
To find de appropiate value of t we must see the T table where rows are degrees of freedom and columns significance level
The significance is obtained:
significance = 1 - confidence level = 1 - 0.9 = 0.10
Degrees of freedom (df) for the inteval are
df = n - 1 = 18 - 1 = 17
So we must look for the value of a t with 17 values and significance of 0.10 which in t table is 1.740 not 1.746 ( thats the t for 16 df)
The statement is false because the critical t value for a 90% confidence interval depends on the degrees of freedom, which, for an independent measures study with 18 participants split into two groups, would be 16 (18 participants - 2 groups),
The statement regarding an independent-measures research study comparing two treatment conditions with 18 participants constructing a 90% confidence interval and having t values of ±1.746 is assessed as False. The critical t value is determined by the degrees of freedom, which in an independent-measures t-test, is generally calculated as the total number of participants minus the number of groups. With 18 participants divided into two groups, the degrees of freedom would be 16 (18 - 2), assuming equal group sizes. The exact t value for a 90% confidence interval would need to be looked up in a t distribution table or calculated using statistical software, and it would likely differ from ±1.746 for 16 degrees of freedom.
To accurately determine the critical t value, one would consult a t distribution table or statistical software tailored to the specific degrees of freedom for the study. It's important to note that confidence intervals, t-tests, and their interpretations are crucial in research for estimating the range within which the true population parameter lies and for assessing the significance of the findings, respectively.
Selena is driving to visit her grandmother who lives 325 miles away from Selena home. she travels an average of 60 miles per hour. Determine the independent and dependent quantities in each scenario. Be sure to include the appropriate units of measure for each quantity
Answer:
Step-by-step explanation:
independent quantity=60 m/h
dependent =time taken=t
60 t=325
t=325/60=65/12=5 5/12 hours
For your rock collection display you want to have at most 25 samples. You want to have at least 3 times as many sedimentary samples (x) as metamorphic samples (y)
Answer:
Step-by-step explanation:
A ball is thrown in the air from a ledge. It's height in feet represented by f(x)=16(x^2-6x-7), where x is the number of seconds since the ball has been thrown. The height of the ball is 0 feet when it hits the ground. How many seconds does it take the ball to reach the ground?
Answer:
Step-by-step explanation:
Since we know that the height is 0, we can figure out how long it took the ball to reach the ground by setting [tex]f(x) = 0[/tex] and solving for [tex]x[/tex]:
[tex]f(x) = 16(x^{2} - 6x - 7)[/tex]
[tex]0 = 16(x^{2} - 6x - 7)[/tex]
[tex]0 = x^{2} - 6x - 7[/tex]
[tex]0 = (x - 7)(x + 1)[/tex]
[tex]x = -1, 7[/tex]
Because time can only be positive, the answer is 7 seconds.
Answer:
7 seconds.
Step-by-step explanation:
height h = 16(x^2-6x-7) = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x = 7 seconds (we ignore the negative).
I am so confused and lost!! Please Help!!!
Answer:
x = 2.4
Step-by-step explanation:
To find the value when f(x) = x, you just have to replace f(x) for x
[tex]f(x) =-\frac{1}{4}x +3 \\x = - \frac{1}{4}x +3 \\x +\frac{1}{4}x=3 \\\frac{5}{4} x= 3 \\ x = 3*\frac{4}{5} \\x = 2.4[/tex]
What is the end behavior of the polynomial function?
Answer:
see below
Step-by-step explanation:
Ordinarily a graph like this will have arrowheads on the ends of the curve, indicating the curve continues on in the same direction. Here, we have to assume the existence of such arrowheads in order to choose a sensible answer.
As x goes to -∞, the curve continues to increase toward +∞. This is not an answer choice.
As x goes to +∞, the curve continues to decrease toward -∞. This matches the third answer choice.
Answer:
As [tex]x[/tex] tend to ∞, tehn [tex]y[/tex] tend to -∞.Step-by-step explanation:
In the graph you can observe the beahaviour of each variable.
Observe, as [tex]x[/tex] tend to ∞, then [tex]y[/tex] tend to -∞. This beahaviour is located in the IV quadrant.
So, in the options, the best answer is "as [tex]x[/tex] tend to ∞, tehn [tex]y[/tex] tend to -∞", because is true.
Other options are just false, for example, as [tex]x[/tex] tend to -∞, [tex]y[/tex] doesn't tendo to -∞.
As [tex]x[/tex] tend to -∞ [tex]y[/tex] doesn't tendo to 0.
Therefore, the right answer is the third choice.
In the past year, Ann watched 27 movies that she thought were very good. She watched 90 movies over the whole year. Of the movies she watched, what percentage did she think were very good?
Answer:
30%
Step-by-step explanation:
27 over 90 is equal to 0.3 in decimal form, turn that into percentage by multiplying by 100, and you get 30%
Kim made 1 1/4 quarts of a fruit smoothie. She drank 1/5 of her smoothie. Her brothers drank the rest. They each had 1/3 quart. How many brothers does Kim have?
Answer:
3 brothers.
Step-by-step explanation:
You know that Kim made [tex]1\frac{1}{4}[/tex] quarts of a fruit smoothie.
Observation: [tex]1\frac{1}{4}[/tex] is the same as saying [tex]\frac{5}{4}[/tex] because, [tex]1\frac{1}{4} =1+\frac{1}{4} =\frac{4.1+1}{4} =\frac{5}{4}[/tex], then Kim made [tex]\frac{5}{4}[/tex] of a fruit smoothie.
Now, the problem says that Kim drank [tex]\frac{1}{5}[/tex] of her smoothie, this means:
[tex]\frac{5}{4} .\frac{1}{5}=\frac{1}{4}[/tex]
Kim drank [tex]\frac{1}{4}[/tex] quart of the smoothie, the rest of the smoothie is:
[tex]\frac{5}{4}- \frac{1}{4}=\frac{4}{4}[/tex]
Now to know how many brothers Kim has we have to divide the rest of the smoothie ([tex]\frac{4}{4}[/tex]) in [tex]\frac{1}{3}[/tex], this is:
[tex]\frac{4}{4} :\frac{1}{3} =\frac{12}{4} =3[/tex]
Then Kim has 3 brothers.
Matching: write in the correct letter.
line segment AB
Ray AB
The length of line segment AB
Line AB
answer options
a) AB
b) AB with a line above it.
c) AB with a line above it going only left.
d) AB with a line with both arrows on either side.
Line segment AB - b) AB with a line above it.
Ray AB - c) AB with a line above it going only left.
The length of line segment AB - a) AB
Line AB - d) AB with a line with both arrows on either side.
To match the given terms with the correct letter options, let's define each term and find its corresponding notation:
Line segment AB: A line segment is a part of a line that is bounded by two distinct end points.Ray AB: A ray starts at one point and extends infinitely in one direction. The length of line segment AB: This refers to the numerical length or distance between points A and B. Line AB: A line extends infinitely in both directions.These notations are crucial in geometry to clearly communicate different types of lines and measurements.
The binomial coefficient Subscript n Baseline Upper C Subscript x gives the number of ways of picking a subset of x items out of n. Using this fact, how many ways are there to pick a committee of 4 from among all of the office employees?
Answer:
[tex]{n \choose 4}[/tex] where n s the total number of employees
Step-by-step explanation:
Since [tex]{n \choose x}[/tex] gives the number of ways you can pick a subset of x elements from n.
remember in order to calculate the combination number ( for example if you know the number of office employees) is
[tex]{n \choose 4}=\frac{n!}{4! (n-4)!}[/tex]
using that 4! =1*2*3*4 and same idea for n!
Two clocks are turned on at the same time.One clock chimes every 15 minutes.The other clock chimes every 25 minutes.In how many minutes will they chime together
Answer:
The two clock will chime together in 75 minutes
Step-by-step explanation:
- Two clocks are turned on at the same time
- One clock chimes every 15 minutes
- The other clock chimes every 25 minutes
- We need to know in how many minutes they will chime together
- The two clock will chime together in the multiples of 15 and 25
- Lets find the first common multiple of 15 and 25
∵ 15 = 5 × 3
∴ The prime factors of 15 are 3 and 5
∵ 25 = 5 × 5
∴ The prime factor of 25 is 5
∴ The lowest common multiple of 15 and 25 = 5 × 3 × 5 = 75
∴ The two clocks will chime together every 75 minutes
The two clock will chime together in 75 minutes
Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is 6 feet longer than twice its width. Find the length and width of the patio.
Answer:
The length of the patio is 32 ft and the width is 13 ft
Step-by-step explanation:
see the attached figure to better understand the problem
Let
L ----> the length of his patio
W ---> the width of his patio
we know that
[tex]L+2W=58[/tex] ----> equation A
[tex]L=2W+6[/tex] ----> equation B
substitute equation B in equation A and solve for W
[tex]2W+6+2W=58[/tex]
[tex]4W+6=58[/tex]
[tex]4W=58-6[/tex]
[tex]4W=52[/tex]
[tex]W=13\ ft[/tex]
Find the value of L
[tex]L=2W+6[/tex] ----> [tex]L=2(13)+6=32\ ft[/tex]
therefore
The length of the patio is 32 ft and the width is 13 ft
The required patio length(L) = 32 and width(w) = 13.
Given that,
Wayne is hanging a string of lights 58 feet long,
And the side along the house, is 6 feet long.
We have to find,
The length and width of the patio.
According to the question,
Let, the length of his patio be L and width w,
Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house.
L + 2W = 58
And The length of his patio, the side along the house, is 6 feet longer than twice its width.
L = 2W + 6
Solving the equation putting the of L from equation 2 in equation 1,
= 2W + 6 + 2W = 58
= 4W = 58 - 6
= 4W = 52
= W = [tex]\frac{52}{4}[/tex]
= W = 13
And L = 2(13) + 6 = 32
Patio length(L) = 32 And width(w) = 13.
Hence , The required patio length(L) = 32 And width(w) = 13.
For the more information about Measurement click the link given below.
https://brainly.com/question/10158458
Item 5: Suppose an American worker can make 20 pairs of shoes or grow 100 apples per day. On the other hand, a Canadian worker can produce 10 pairs of shoes or grow 20 apples per day. The opportunity cost for Canada is ___.
Answer:
The opportunity cost for Canada will be comparatively high in the production of shoes.
Step-by-step explanation:
An American worker can make 20 pairs of shoes or grow 100 apples per day.
A Canadian worker can produce 10 pairs of shoes or grow 20 apples per day.
In easy words, opportunity cost is defined as the value of ones next best alternative.
The opportunity cost for Canada will be comparatively high in the production of shoes.
Based on an 8-hour day, the number of hours worked in a hospital food service department was 55,267/yr, and the total number of hours paid was 59,995/yr. The actual number of productive FTEs was:
a. 2.27b. 18.90c. 26.60d. 28.80
Final answer:
To find the actual number of productive FTEs, divide the total number of hours worked (55,267) by the number of hours worked per FTE. The answer is option a. 2.27.
Explanation:
To find the actual number of productive FTEs, we need to divide the total number of hours worked (55,267) by the number of hours worked per FTE. The number of hours worked per FTE can be calculated by dividing the total number of hours paid by the total number of productive FTEs. So, the equation becomes:
55,267 / (59,995 / x) = x
Multiplying both sides of the equation by (59,995 / x), we get:
55,267 = (59,995 / x) * x
Simplifying further:
55,267 = 59,995
Dividing both sides of the equation by 59,995, we get:
x = 55,267 / 59,995
x = 0.9213
Therefore, the actual number of productive FTEs is approximately 0.9213, which can be rounded to 0.92. Therefore, the answer is option a. 2.27.
Final answer:
The actual number of productive Full-Time Equivalents (FTEs) is calculated by dividing the total annual productive hours (55,267 hours/year) by the standard annual working hours for one full-time employee (2,080 hours/year), resulting in 26.57, which rounds to option c. 26.60.
Explanation:
To calculate the actual number of productive Full-Time Equivalents (FTEs) based on the hours worked in a hospital food service department, we use the given number of hours worked per year and divide it by the standard number of working hours in a year for one full-time employee.
First, let's establish the standard number of working hours in a year for one FTE, based on an 8-hour day:
1 workday = 8 hours1 workweek = 5 workdays (typically for full-time)1 workyear (excluding holidays/vacations) = 52 workweeksTotal working hours in a year = 8 hours/day × 5 days/week × 52 weeks/year = 2,080 hours/yearTo find the actual number of productive FTEs, we divide the number of hours worked by the standard number of working hours in a year:
Productive Hours Worked: 55,267 hours/year
Standard Hours for 1 FTE: 2,080 hours/year
Actual number of productive FTEs = Productive Hours Worked / Standard Hours for 1 FTE
Actual number of productive FTEs = 55,267 hours/year / 2,080 hours/year
Actual number of productive FTEs = 26.57
Therefore, the nearest option to our result is c. 26.60.
I don’t get this question, please help.
Answer:
A = 7
B = 2
Step-by-step explanation:
The question is asking for the simplified form of √(-98). You are expected to know that √-1 = i, and you are expected to be able to factor the number 98.
[tex]\sqrt{-98}=\sqrt{(-1)(7^2)(2)}=7i\sqrt{2}[/tex]
Matching parts of the simplified expression to the form you are given, you see that ...
A = 7
B = 2
El costo por kilo de queso chihuahua, es de 78. el total de queso comprado el dia anterior fue de 195. que fraccion del total de queso chihuahua queda
Answer: [tex]\frac{3}{8}\ kg[/tex]
Step-by-step explanation:
The table attached is part of the exercise (Without the table the question was incomplete).
We know that the cost of 1 kilogram of Chihuahua cheese is 78 and the Chihuhua cheese bought the day before cost 195.
The first step is to calculate the amount of cheese bought with 195:
[tex]\frac{195}{78}=\frac{5}{2}\ kg[/tex]
Now, we need to add the fractions provided in the table (This table shows the amount of cheese that was used in that day). Then:
[tex]\frac{1}{2}\ kg+\frac{7}{8}\ kg+\frac{3}{4}\ kg=\frac{17}{8}\ kg[/tex]
Finally, in order to find what fraction of Chihuahua cheese is left, we must subtract [tex]\frac{5}{2}\ kg[/tex] and [tex]\frac{17}{8}\ kg[/tex]:
[tex]\frac{5}{2}\ kg-\frac{17}{8}\ kg=\frac{3}{8}\ kg[/tex]