Which number is rational?
-2.101001001
-.8974512
1.2547569
5.3333333
Answer:
D
Step-by-step explanation:
Took the test
What is the solution to the equation below?
y + 4.73 = 8.0
A. y = 12.73 B. y = 3.93 C. y = 4.27 D. y = 3.27
Answer :
It is D because you have to subtract 4.73 from both sides in order to isolate the y by itself and get the answer which is 3.27
Step-by-step explanation:
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\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
What is the solution to the equation below?
y+4.73=8.0
\(\blue{\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}\)
To solve it, simply subtract 4.73 from both sides:-
y=3.27 (Option D)
Good luck.- - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - -
hlep me pls daddddddddddddddddddddddddddddddddy
Answer:
The equation would be 2(n+3)-6. So A.
Step-by-step explanation:
It is asking you to subtract first and you cannot do that without parentheses.
Answer:
First ONE
Step-by-step explanation:
First you are adding 3
n+3
then you mulitply by 2
so, its 2(n+3), you have to put in bracket because you want to do addition first
then you subtract everything by 6
its 2(n+3)-6
Which of the following points are in the third quadrant of the xy-plane? Check
all that apply.
Step-by-step explanation:
The x and y-values in the 3rd quadrant are both negative.
Remember this:
1st quadrant- x= + y= +
2nd quadrant- x= - y= +
3rd quadrant- x= - y= -
4th quadrant- x= + y= -
1) Alexa Corp acquired several assets from Bonsai Corp. for $4,200,000. Assets acquired included a building, a stamping machine, and a forklift. An appraisal of the assets valued the building at $2,400,000, the press at $1,000,000, and the conveyor belt at $600,000. What is the value that will be assigned to each of these assets?
Answer:
Value assigned for Building = $2,520,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = $630,000
Step-by-step explanation:
Total appraisal value = Building + Press + Conveyor belt
Total appraisal value = 2,400,000 + 1,000,000 + 600,000
Total appraisal value = $4,000,000
Value assigned for Building = (2,400,000/4,000,000)*4,200,000
Value assigned for Building = $2,520,000
Value assigned for Press = (1,000,000/4,000,000)*4,200,000
Value assigned for Press = $1,050,000
Value assigned for Conveyor belt = (600,000/4,000,000)*4,200,000
Value assigned for Conveyor belt = $630,000
Calculator
cm
n
8 cm
This figure represents a small paperweight. The plan is to cover
20% of the total surface area, including the bottom face, of the
paperweight with stickers.
15 cm
How much surface area will be covered with stickers?
10 cm
223.8 cm
11 cm
17 cm
895.2 cm?
1119 cm
5595 cm
1
2
3
4
5
Answer:
223.8
Step-by-step explanation:
I failed the test to get the answer
Answer:
the answer is 223.8
Step-by-step explanation:
O is the center of the regular decagon below. Find its area. Round to the nearest tenth if necessary. 2
The area of Regular Decagon is 325 square units.
How to find the area of a regular decagon?The formula for the area of a regular polygon is :
Area (A) = [number of sides (n) × length of side (l) × apothem (a)] /2
Apothem Formula is given by:
For the decagon, n = 10 (10 sides) and a = 10
Now, we calculate the length of the decagon:
a = l / 2tan(180/n)°
10 = l / 2tan(180/10)°
10 = l / 2 tan18°
l = 10 × 2 × tan18°
l = 6.50 units
We have to find the area of decagon:
A = [number of sides (n) × length of side (l) × apothem (a)] /2
A = (10 × 6.50 × 10)/2
A = 325 square units
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Foe complete question, to see the attachment.
There are 5,000 sheets of paper in 25 boxes. if each
box contains the same number of sheets of paper, how many sheets of paper are in each box?
Answer:
200 sheets
Step-by-step explanation:
Divide 5,000 by 25 to get 200 sheets of paper per box.
Answer:
750 pieces of paper
Step-by-step explanation:
can't
I need help with this 2 problems! Please help and thank you
The Pythagorean theorem states that the square of a right-angled triangle's hypotenuse is equal to the sum of the squares of its other two sides.
How do you use the hypotenuse leg theorem?You can demonstrate the congruence of two right triangles using the Hypotenuse-Leg (HL) Triangle Congruence Theorem, which is a particular instance. A right triangle is congruent with another right triangle if its hypotenuse and one of its legs are congruent with its hypotenuse and one of its legs.
The hypotenuse (longest side) square in a right-angled triangle is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem (base and perpendicular).
The right triangles are said to be congruent if their respective hypotenuses and legs are congruent with one another, according to the hypotenuse-leg (HL) theorem. By the HL theorem, these triangles are congruent.
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Given: 15x < -45
Choose the solution set
a) {x l x<-3}
b) {x l x>-3}
c) {x l x< 3}
d) {x l x> 3}
Michelle wants to create a triangular flower bed and border it with scraps of picketfence that she has left over from another project. One scrap is 2 feet 2 inches long, a
second scrap is 4 feet 3 inches long and the third scrap is Sfeet inches long. If she uses these three pieces of fencing as the border, what kind of triangle will for the shape
of her flower bed?
Not a triangle
Right triangle
Acute triangle
Obtuse triangle
Answer:
The answer would be an obtuse triangle.
Step-by-step explanation:
The scraps of material would make more of a lopsided shape, and if you draw it out as i have, an obtuse triangle will form.
HELP??????????????????????????!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A best friend listens to you. ... It doesn't matter how many times you've said the same asinine thing – a true best friend never tires of hearing your ridiculous stories. Your best friend is one who listens to your work gossip, even if he or she doesn't understand it.
Step-by-step explanation:
Genes S and T are not linked. If there is a 50% probability that allele S is in a gamete and there is a 50% probability that allele T is in a gamete, what is the probability that both are in the same gamete
Answer:
The probability that both are in the same gamete is 0.25
Step-by-step explanation:
Given
\(P(S) = 50\%\)
\(P(T) = 50\%\)
Required
Determine the probability that both are in same gamete
The required probability means: P(S and T)
This is then calculated as:
\(P(S\ and\ T) = P(S) * P(T)\)
Substitute values for P(S) and P(T)
\(P(S\ and\ T) =50\% * 50\%\)
Convert to decimal
\(P(S\ and\ T) =0.50* 0.50\)
\(P(S\ and\ T) =0.25\)
A 3-gallon bucket of paint costs $111.12. What is the price per quart?
Answer:
9.26 per quart
Step-by-step explanation:
A 3-gallon bucket of paint costs $111.12.
Find the price of per quart.
3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:
111.12 / 12 = 9.26
The Sum of an A.P is 20, the first term being 8, what is the common difference and number of terms ?
The common difference d = 0 and the number of terms n = 4.
ExplanationWe know that the sum S of the first n terms of an arithmetic progression (A.P) is given by the formula:
\(S = \frac{n}{2} * [2a + (n-1)d]\)
where a is the first term, d is the common difference, and n is the number of terms.
In this problem, we are given that S = 20 and a = 8. We need to find d and n.
Substituting the given values in the formula, we get:
\(20 = \frac{n}{2} * [2(8) + (n-1)d]\)
Simplifying the equation, we get:
\(20 = 4n + (n-1)d\)
\(20 = 5n - d\)
We can rewrite this equation as:
\(d = 5n - 20\)
Now, we also know that the first term of the A.P is 8. Using this and the formula for the nth term of an A.P, we get:
\(a + (n-1)d = 8\\\)
Substituting the value of d from earlier, we get:
\(8 + (n-1)(5n-20) = 0\)
Simplifying this quadratic equation, we get:
\(5n^2 - 15n - 8 = 0\)
Using the quadratic formula, we get:
n = (15 ± √385) / 10
Since n must be a positive integer, we can take the value of n as:
n = (15 + √385) / 10
n ≈ 3.84
Therefore, the number of terms should be rounded up to the nearest integer, which is 4.
Now that we know n = 4, we can substitute it back into the equation for d:
\(d = 5n - 20\)
\(d = 5(4) - 20\)
\(d = 0\)
Therefore, the common difference is 0, which means that all the terms in the A.P are the same. In this case, since there are 4 terms, each term must be:
8 / 4 = 2
Therefore, the common difference d = 0 and the number of terms n = 4.
I need help with geometry! I need to find x and y, please help asp
Check the picture below.
need help please
4 options
Answer:
Option (2)
Step-by-step explanation:
The graph is decreasing, so the base is less than 1.
Eliminate Options (3) and (4).We can see whether Option (1) or Option (2) is right by considering the point (1,12).
This point satisfies the function in Option (2), so that is the answer.
The Kaumajet Factory produces two products - table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.
The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour
Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour
For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.
Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20
Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00
Total factory overhead cost per unit of table lamp
$2.20 + $5.00 = $7.20
Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.
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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.
If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?
a. $4.91
b. $6.33
c. $7.20
d. $5.00
10-A biased die is thrown thirty times and the number of sixes seen is eight. ( The probability of face six is 8 = 4 ) If the die is thrown a further twelve times find:
30 15
(a) the probability that a six will occur exactly twice; (b) the expected number of sixes: () = ;
(c) the variance of the number of sixes.
Using the binomial distribution, we have that:
a) There is a 0.2111 = 21.11% probability that a six will occur exactly twice.
b) The expected number of sixes is of 3.2.
c) The variance of the number of sixes is of 2.35.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the parameters are given by:
p = 8/30 = 0.2667, n = 12.
Item a:
The probability is P(X = 2), hence;
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{12,2}.(0.2667)^{2}.(1-0.2667)^{10} = 0.2111\)
Item b:
The expected number of the binomial distribution is:
E(X) = np.
Hence:
E(X) = 12 x 8/30 = 3.2.
Item c:
The variance of the binomial distribution is:
V(X) = np(1-p).
Hence:
E(X) = 12 x 8/30 x 22/30 = 2.35.
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Alewuya invests $1,000 at 13% simple interest for 6 years. How much is in the account at the end of the 6 year period?
Answer: $
The amount of money with the simple interest is A = $ 1,780
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as I
Now , the amount with simple interest A = P + I
Now , the principal P = $ 1,000
The interest rate R = 13 %
The number of years T = 6 years
And , Simple Interest I = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest I = ( 1000 x 13 x 6 ) / 100
On simplifying the equation , we get
Simple Interest I = $ 780
Now , the amount after 6 years = $ 1,000 + $ 780
The amount after 6 years = $ 1,780
Hence , the simple interest is $ 780
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Simplify (1/2)^4
1/10
1/8
1/4
Answer:
1/8
Step-by-step explanation:
\( \bigg( \frac{1}{2} \bigg)^{4} = \\ \\ = \frac{1}{8} \)
El perro de Antonia debe comer 0,48 kg de alimento cada día. ¿Cuánto alimento necesita para 30 días?
Answer:
Amount of food need for 30 days = 14.4 kilogram
Step-by-step explanation:
Given information:
Amount of food dog eat each day = 0.48 kilogram
Find:
Amount of food need for 30 days
Computation:
⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days
⇔ Amount of food need for 30 days = 0.48 x 30
Amount of food need for 30 days = 14.4 kilogram
14.4 kilogram is right answer.
An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.
Part A: Write the system of equations that models this scenario. (5 points)
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)
The system of equations is.
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
And the solutions are y = 50 and x = 10.
How to write and solve the system of equations?Let's define the two variables:
x = number of calculators.y = number of calendars.With the given information we can write two equations, then the system will be:
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
Now let's solve it.
We can isolate x on the first to get:
\(\text{x} = 60 - \text{y}\)
Replace that in the other equation to get:
\(15\times(60 - \text{y}) + 10\text{y} = 800\)
\(-2\bold{y} = 900 - 800\)
\(-2\bold{y} = 100\)
\(\text{y} = \dfrac{100}{-2} = \bold{50}\)
Then \(\bold{x=10}\).
Therefore, the solutions are y = 50 and x = 10.
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Who is most affected by a discrepancy in dosage
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
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draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)
Answer: y=2.5x-8, the two points necessary to graph would be (2,-3) and (0,-8)
Step-by-step explanation: If the line passes thru (2,-3), let us plug in and find c. -3-2.5(2)=c
-3-5=c
c=-8 so y=2.5x-8
The line will represent the graph of the equation y=2.5x-8.
The two points necessary to graph would be (2,-3) and (0,-8).
What is the slope-intercept form?
The slope-intercept form is y=mx+c
If the line passes through (2,-3),
let us plugin and find c.
So we get,
\(-3-2.5(2)=c\)
\(-3-5=c\)
\(c=-8\)
So, The equation of the line is y=2.5x-8.
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A teacher orders pizza for her classes. Each pizza costs 16.72. The delivery charge for the entire order is 9.00. The total cost of the teacher's order is less than 133.00. Write an inequality that can be used to determine the greatest number of pizzas, p, that the teacher orders.
16.72p + 9 ≤ 133
16.2p ≤ 124
p ≤ 124 / 16.2
the teacher can order at most
7 whole pizzas
z(y+y); use y=3, and z=3
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}\)
Step-by-step explanation:
Given, y = 3 , z = 3
\( \sf{z(y + y)}\)
Plug the value of y and z
⇒\( \sf{3(3 + 3)}\)
Add the numbers : 3 and 3
⇒\( \sf{3 \times 6}\)
Multiply the numbers : 3 and 6
⇒\( \sf{18}\)
Hope I helped!
Best regards! :D
The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
2010
18
16
14
12
10
Distance (meters)
Pool
6
pool border
4
2
0
-2
0
2
4
14
6 8 10 12
Distance (meters)
16
18
20
2022 Edmentum Alnights reserved
Answer:
border area: 100 m²
Step-by-step explanation:
The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.
__
Pythagorean TripleThe triple (3, 4, 5) is called a Pythagorean triple, because ...
3² +4² = 5²
That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.
__
Application to Pool/Border DimensionsWe notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.
The pool is 5 m by 10 m, for an area of ...
A = LW = (10 m)(5 m) = 50 m²
The overall area is 10 m by 15 m, for an area of ...
A = (15 m)(10 m) = 150 m²
__
Border AreaThe pool's border is the difference between the overall area and the pool area:
150 m² -50 m² = 100 m² . . . . area of pool's border
order the following expressions from least to greatest.
2 √3 √pie
The order of expressions from the least to greatest is \(\sqrt{3}\), \(\sqrt{pie}\) and 2
In order to find the value of these given expressions, we will have to convert them into a standard form, therefore we will find the value of these expressions by removing the root and finding its actual value
Value of 2 will remain the same as it is already in standard form
Value of \(\sqrt{3}\) in standard form = 1.732
Value of \(\sqrt{pie}\) in standard form = \(\sqrt{3.1459}\) = 1.77
No ordering these expressions we find that 2 is the greatest, followed by 1.77 and 1.732
Hence, the expressions from least to greatest is \(\sqrt{3}\), \(\sqrt{pie}\) and 2
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Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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