a drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?
Answer:
2.56 kgs
Step-by-step explanation:
76.8kg ÷ 30 days = 2.56 kgs
Amount of sugar used - 76.8 kg
No. Of Days in Month of April - 30 days
∴ Sugar used each day is = 76.8 ÷ 30
\(76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg\)
So 2.56 kg is used everyday.Hope This Helps YouGuys, please help me
Hi! I believe I have the answer.
1-
a) the opposite of -5 is 5
b) the opposite of 28 is -28
c) the opposite of -10.4 is 10.4
a) the opposite of 0.875 is -0.875
b) the opposite of 0 is -0
c) the opposite of -8,003 is 8,003
I hope that helps!
Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
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divide -2^3-5x^2+4x+2 by x+2
Answer:
−5x+14−34/x+2
Step-by-step explanation:
Pls, choose me as brainliest!
What is the answer ?
Answer:
C
Step-by-step explanation:
Remember that tan45deg is 1!
It is important to memorize these facts.
which algebraic expression represents five times the sum of a number and six less than ten times that same number
Answer:
5a = 10a -6
Step-by-step explanation:
let the number be a.
so five times will be = 5a.....1)
and 6 less than 10times = 10a - 6......2)
since these numbers are same..
from 1) and 2)
5a = 10a -6
we can further simplify it ..
HOPE IT HELP...
How do I do Pythagorean theorem
The athletic department at Pi High School is planning a circular track 440
yards long (circumference). The area inside the track will be planted with
sod. About how many square yards of sod are needed. Round your answer
to the nearest whole number.
Answer:
The amount of sod that is needed is 15400 yards².Step-by-step explanation:
We know that:
Circumference = 2πrCircumference = 440 yardsWe will need to find the radius to find the area of the circular track. Let's simplify the equation 2πr = 440.
=> 2πr = 440=> πr = 440/2=> 22r/7 = 220=> 22r/7 = 22 x 10=> r/7 = 10=> r = 70Now, let's substitute the radius into πr².
=> πr²=> 22/7 x 70 x 70=> 22 x 10 x 70=> 15400 yards²Hence, the amount of sod that is needed is 15400 yards².
Which of the following is true when using the empirical rule for a set of sample data? Select one: a. Approximately 68% of all observations are in the interval + s. b. Almost all observations are in the interval #2s. c. Approximately 68% of all observations are in the interval + 2s. d. Approximately 95% of all observations are in the interval + S.
When using the empirical rule for a set of sample data, the following statements are true: Approximately 68% of all observations are in the interval ± 1s (one standard deviation from the mean),Almost all observations are in the interval ± 3s (three standard deviations from the mean),Approximately 95% of all observations are in the interval ± 2s (two standard deviations from the mean),This statement, "Approximately 95% of all observations are in the interval + S", is incorrect.
When using the empirical rule for a set of sample data, the following statements are true:
a. Approximately 68% of all observations are in the interval ± 1s (one standard deviation from the mean).
b. Almost all observations are in the interval ± 3s (three standard deviations from the mean).
c. Approximately 95% of all observations are in the interval ± 2s (two standard deviations from the mean).
d. This statement, "Approximately 95% of all observations are in the interval + S", is incorrect. The empirical rule states that approximately 68% of all observations are in the interval ± 1s, not just "+ s".
Therefore, the correct answer is (c) Approximately 68% of all observations are in the interval + 2s.
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Consider this equation. cos ( θ ) = 11/5 If θ is an angle in quadrant I, what is the value of sin ( θ ) ?
Which of the following describes a linear function?
A. 3(x + 2y) - 4 = x + 5y
B. ax2 + bx + c = 0
c. (a + b)?
D. A = ?
Answer:
A
Step-by-step explanation:
Linear equation involves two variables with the power of 1. B is quadratic equation
C and D are not even equations
T^12 x T^10= T to the power of what
t²²
Step-by-step explanation:Hi there !
t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²
Good luck !
Mike used of a cup of vinegar in his salad dressing recipe. He made 3 salad dressing recipes. Between which two whole numbers does the number of cups of vinegar that Mike used lie?
The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4
If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).
However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.
Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).
Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).
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The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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What is a translated image?.
Concept and uses of image translation are explain below.
What is a translated image?In math, a change is an activity that moves, flips, or changes a shape (called the preimage) to make another shape (called the picture). An interpretation is a sort of change that moves each point in a figure a similar distance in a similar course.
Benefits os translation of image.An interpretation is a kind of change that takes each point in a figure and slides it a similar distance in a similar course. This interpretation maps △ X Y Z \triangle{XYZ} △XYZtriangle, X, Y, Z onto the blue triangle. The outcome is another figure, called the picture. The picture is consistent to the first figure.
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Boris works from 8:00 AM to 4:30 PM five days a week if he earns 15 per hour how much will he receive for the week
Answer:
$127.5
Step-by-step explanation:
Gage Millar, Algebra 2 tutor
8am - 4:30pm is 8hr 30 minutes
8 1/2 (8 hour 30 minutes into hours) x 15
127.5
Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60%, percent of his collection.
How many toy cars does Samuel have?
Answer:
45
Step-by-step explanation:
The 27 red cars make up 60% of the total collection, here is the equation
to be solved:
27 = 60% of C C is the total cars in the collection
27 = .60 C
27 / .60 = C
45 = C
Hope this helps! :)
Identify the splitting field of x3 + x2 + 1 over Z2. Write the addition and Multiplication tables of the splitting field.
(x3 + x2 + 1) = (x - 1) (x2 - x - 1)
I know that (x2 - x - 1) does not have a root in Z3 so lets go to Z5.
Maybe (x2 - x - 1) = (x - 3) (x + 2) = (x + 2)2
I started the addition table but need some help finishing it.
0 1 u u2 u3 v v2 v3
0 0 1 u u2 u3 v v2 v3
1 1 0 u u 0 u2 u2 0 u3 u3 0 v v 0 v2 v2 0 v3 v3 0
The splitting field of the polynomial x^3 + x^2 + 1 over Z2 is the smallest field extension of Z2 in which the polynomial factors completely into linear factors.
From the given factorization, we can see that the polynomial x^2 - x - 1 does not have roots in Z2, so we need to extend the field.
By considering Z5 as the field extension, we find that x^2 - x - 1 factors as (x - 3)(x + 2) in Z5. So, the splitting field is the field extension of Z5.
To construct the addition and multiplication tables of this splitting field, we need to identify the elements of the field. In this case, the elements of the field are the residues modulo 5: 0, 1, 2, 3, and 4.
Here is the completed addition table:
| 0 1 2 3 4
0 | 0 1 2 3 4
1 | 1 0 3 4 2
2 | 2 3 4 0 1
3 | 3 4 0 1 2
4 | 4 2 1 2 0
The multiplication table can be constructed in a similar manner, following the rules of multiplication modulo 5. I'm afraid I don't have the necessary space to provide the complete multiplication table, but you can continue constructing it by multiplying the residues modulo 5.
Please note that the elements in the field extension are represented as 0, 1, u, u^2, u^3, v, v^2, v^3, where u is the residue for 2 (which corresponds to x + 2), and v is the residue for 3 (which corresponds to x - 3).
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Let f(t) = In (³√t³+4). Calculate ƒ' (t). a. t / 3t³ + 4 b. t² / t³ + 4
c. 1 / 3t(t³ + 4)
d. 1 / t²+4
e. 3t²e^t³+4
Divide both sides by ³√t³+4,ƒ'(t) = t² / (³√t³+4)e^(3f(t))The answer is the option b, t² / t³ + 4 .
The given function is f(t) = In (³√t³+4). To find ƒ'(t), we need to differentiate the function f(t).Here's how we can do it:
Given function, f(t) = In (³√t³+4)Taking ln both sides, e^f(t) = ³√t³+4Raise both sides to the power of 3,e^(3f(t)) = t³+4Differentiating both sides,3e^(3f(t)) * df/dt = 3t²3e^(3f(t)) * df/dt = 3t²
Divide both sides by 3e^(3f(t)),df/dt = t² / e^(3f(t))
Divide both sides by ³√t³+4,ƒ'(t) = t² / (³√t³+4)e^(3f(t))The answer is the option b, t² / t³ + 4 .
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find the midpoint and distance between each pair of points, with easy explanation and work !! will give brainliest.
(-1,-4) , (-7,4)
The function H(X) equals 0.6X plus 3.8 models the height in inches of a stack of X cups. What key features is at H(0)?
The key feature of the function H(X) = 0.6X + 38 at H(0) is 3.8
Function:
A function is defined as the an expression, rule, or law that defines a relationship between one independent variable and another dependent variable.
Given,
Here we have the function H(X) = 0.6X + 3.8 models the height in inches of a stack of X cups.
And we need to find the key features is at H(0).
To find the key feature at H(0), then we have to simple apply the value of X as 0,
Like the following, we have to replace the X value in the function with 0, then we get the expression like the following,
=> H(0) = 0.6(0) + 3.8
=> H(0) = 0 + 3.8
H(0) = 3.8
Therefore, the key feature at H(0) is 3.8.
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e-2=13 pls someone help me
Answer: E=15
Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15
Answer:
15
Step-by-step explanation:
to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13
Graph by using the table of values
I hope the screenshots help, for future references you can you Desmos graphing calculator.
what is the volume of a cube 4cm length 4cm height 4cm width
Answer:
64
Step-by-step explanation:
because the formula for the volume of a cube is edge (4) to the power of 3
4 to the power of 3 is 64
Using a Table to Multiply Multivariable Polynomials What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2 – 8xy + 12x + y2 – 2y 8x2 + 4xy + 4x + y2 – 2y 12x2 + 8xy + 4x + y2 + 2y
Answer: B.
\(12x^{2}\) \(-8xy + 12x + y^2 - 2y\)
Step-by-step explanation:
i just took the assignment
Add the two expressions 6q+1 and q+11
Enter your answer into the box
Answer:
7q + 12
Step-by-step explanation:
6q + 1 + q + 11
add like terms. add 6q and q together and then add 1 and 11 together
6q + q + 1 + 11
7q + 12
7q + 12 is your answer. i hope this helps :)
Answer:
7q + 12
Step-by-step explanation:
2 Enter the correct answer in the box. ming Exponential Functions: Mastery Test The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of. What is the equation of function g? Substitute a numerical value for k into the function equation. (0) 0 0 Vo 4 g(x) = X = (7) kx +1 < AI TT a A P E P Reset sin cos tan sin-¹ costan-¹ csc sec cot log log, In I Next 11 1 2 A O U
Answer:
Substitute a numerical value for k into the function equation. g(x)=(7)^kx fill in the given formula
Step-by-step explanation:
This is giving you a step by step answer so follow it thoroughly and you will be good
a carpet installation company charges customers a flat fee of $75 plus $3.00 per square foot how much would it cost to install 100 square feet of carpet
Answer:3x100=300+75=$375.00
Step-by-step explanation:
Answer:
$375 to install 100 square ft of carpet
Step-by-step explanation:
you would do (3.00 x 100 ft) which would get you to 300. then since there’s a flat fee of 75 you would add 300 + 75 = 375
1) There are 8 college basketball teams in a certain
Sub-Division
How many ways are there to choose 6 teams for the playoffs?
There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.
To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by
nCr = n! / (r! * (n-r)!),
where n represents the total number of teams and r represents the number of teams to be chosen.
In this case, n = 8 and r = 6.
Plugging in these values, we have
8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.
Therefore, there are total 28 ways to choose 6 teams.
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area of a 12 ft circle