According to the inequality, the number of the cells of the knives the need is a 10 cells.
According to the statement
We have to find that the inequality for the knives which are need to buy.
So, For this purpose, we know that the
Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
From the given information:
Everyone is order some new supplies for the restaurant where he works the restaurant needs at least 587 knives there are currently 387 nice if it set on cell contains 20 knives
Then
Number of the knives they need = 587 knives
Number of the knives present = 387
Number of the knives they need = 587 - 387
Number of the knives they need = 200
Then
The cell contains knives = 20 knives
Then
The number of the cells they need = 200/20
The number of the cells they need = 10 cells.
If s is the number of the cells of the knife needs then inequality become
s > 10.
So, According to the inequality, the number of the cells of the knives the need is a 10 cells.
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60 divided by the sum of 15 and x
Answer:
60 / (15+x)
Step-by-step explanation:
First, we would start off with (15+x). It is in parenthesis because we need to do that foremost.
Second, we divide by 60.
60/(15+x)
Rewrite 12/17 as a decimal number. Round to the nearest thousandth. A-0.705 B-1.417 C-1.416 D-0.706
Answer:0.705,srry if its wrong :(
This is highschool algebra 1 honors math PLEASE HELP ME ASAP
Step-by-step explanation:
[tex] \frac{ {x}^{ \frac{5}{4} } }{ {x}^{ \frac{1}{6} } } = {x}^{a} [/tex]
[tex] {x}^{a} = {x}^{ \frac{5}{4} - \frac{1}{6} } [/tex]
[tex] {x}^{a} = {x}^{ \frac{15}{12} - \frac{2}{12} } [/tex]
[tex] {x}^{a} = {x}^{ \frac{13}{12} } [/tex]
[tex]a = \frac{13}{12} [/tex]
PLEASE HELP Solve the inequality for x and identify the graph of its solution.
3x + 2 <6
Choose the answer that gives both the correct solution and the correct graph.
OA. Solution: x<-4 or x>0; graph:
H+++
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
OB. Solution: x>-4 and x < 0; graph:
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
OC. Solution: x<0 or x> 4; graph:
-3 -2 -1 0 1
OD. Solution: x>-4 and x < 0; graph:
2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
The solution the inequality 3|x+2|<6 is D. -4<x<0 .
What is inequality ?Inequality represents comparing two non equal quantities.
According to the given question an inequality 3|x+2| < 6 is given and we have to determine it's graph.
We know, 3|x+2|<6
= |x+2| < 2.
∴ (x+2) < 2
x < 0.
Or
-(x+2)<2.
- x - 2 < 2
- x < 4.
x > - 4. (Think of moving the values to other sides).
So, -4 < x < 0 and this will be represented in the number line by open circle and they are strictly less than and greater than.
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When the sample mean lies relatively far away from µ0 in a hypothesis test, the decision should be to reject the null hypothesis.
When the sample mean lies relatively far away from µ0 in a hypothesis test, the decision should be to reject the null hypothesis.
True
False
The statement "When the sample means lies relatively far away from µ0 in a hypothesis test, the decision should be to reject the null hypothesis." is false
This is further explained below.
Whe do we reject the null hypothesis.?Generally, When the p-value is lower than or equal to your significance threshold, you should conclude that the null hypothesis is incorrect.
Your findings from the sample provide support to the alternative hypothesis, which indicates that the effect may be present in the population as a whole.
Remember, as a mnemonic device, that when the p-value is low, the null hypothesis must be discarded!
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Place the products 1024/7, -1968/7 and 738/8 in
order from least to greatest.
The order of the given numbers from the least to greatest will be (-1968/7), 738/8, and 1024/7.
Given that,
Numbers 1024/7, -1968/7 and 738/8,
Now,
According to the question,
We have to place them in order from the least to greatest,
i.e.
In the increasing form or in the ascending order.
And,
Ascending order is the way of writing given numbers in an increasing sequence.
Now,
we have,
Numbers 1024/7, -1968/7, and 738/8,
Now,
-1968/7 is the least or smallest number as it is in negative form.
And,
738/8 in its decimal form will be 92.25,
And,
1024/7 in its decimal form will be 146.285,
So,
The order from the least to greatest is (-1968/7), 738/8, and 1024/7.
Hence we can say that the order of the given numbers from the least to greatest will be (-1968/7), 738/8, and 1024/7.
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What is the sum of the 3rd cube number and the 5th cube number?
Answer:
152
Step-by-step explanation:
you will multiply 3and 5 each three times.
3*3*3=27
5*5*5=125
27+125=152
Suppose you want to enlarge a 4 inch by 6 inch photograph as much as possible so that it fits on a bulletin board that is 24 inches high.
Answer: i guess it wants you to use ratios, so the final picture would be 24in x 36in
Step-by-step explanation:
so the length of the photograph, which is the height, is 24. so 24/4 is six, which means multiply six by six to get 36 which is the width
What could this represent? 7x + 2 = 30
Step-by-step explanation:
[tex]7x + 2 = 30 \\ 7x = 30 - 2 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]
Is the statement True of False.
When multiplying a series of #s, an odd amount of negatives will result in a negative product.
Group of answer choices
True
False
Answer: False
Step-by-step explanation:
took the test
Factor the polynomial:
2x² + 3x + 1
1.) Drag tiles into left-most box
(or click them) to model the
polynomial:
2x²+3x+1
pls help
Question for you all but, Please don't search it. What is the answer to x3 y3 z3?? I have the answer and I will only be looking for the answer for the next 3 days. Good Luck!
Answer:9
(note)
I'm not great in math so....
Solve the equation v=-3x+s for the variable w
The equation has no solution for the variable w
How to solve the equation for w?The equation is given as
v = -3x + s
In the above equation, there is no occurrence of the variable w
This means that it is not possible to solve the equation for w
Hence, the equation has no solution for the variable w
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Find the equation of a line parallel to y−7=−3x that passes through the point (-6,6)
Answer:
y = -3x - 12
Step-by-step explanation:
y - 7 = -3x Put in the slope intercept form for a line
y = -3x + 7
Use the slope (-3), the x(-6) and the y(6) to find the y intercept and to write the equation for the line.
y = mx + b
6 = (-3)(-6) + b
6 = 18 + b Subtract 18 from both sides
-12 = b
y =mx + b
y = -3x -12
A calculator screen shows a number in scientific notation as 8.3E negative 6. Write this number in standard form. :D
The scientific notation 8.3E negative 6 written in standard form is 8.3 × 10 ^ -6
What is standard form?The standard form of a number is the number raised to an exponent or power which could be a variable or also a number.
It is also known as the index form of a number.
Given the scientific notation as;
8.3E negative 6
It is important to note that 'E' denotes the exponential value and is written as 10^x
Negative six = -6
Substitute into the notation;
8.3 × 10 ^ -6
Thus, the scientific notation 8.3E negative 6 written in standard form is 8.3 × 10 ^ -6
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HELP SORRY AGAIN I JUST DONT UNDERSTAND SCHOOL
[tex]area = length \times width \\ 35 = length \times 5 \\ length = \frac{35}{5} = 7[/tex]
Find the measures of the complementary angles that satisfy each case. The first angle is 30 degrees greater than the measure of the second angle.
The measure of both complementary angles are __ and __.
Please help me!!
The measure of both complementary angle are 30 and 60 degrees.
How to find the measures of complementary angles?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
In other words complimentary angles are angles that sum up to 90 degrees.
Therefore, the first angle is 30 degrees greater than the measure of the second angle.
Hence,
let
x = measure of the second angle
first angle = x + 30
Therefore,
x + x + 30 = 90
2x + 30 = 90
subtract 30 from both sides of the equation
2x + 30 = 90
2x + 30 - 30 = 90 - 30
2x = 60
divide both sides by 2
x = 60 / 2
x = 30
Therefore, the measure of both complementary angle are 30 and 60 degrees.
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What is 414/900 as a mixed number
Needing help
Giving points asap
Step-by-step explanation:
I just answered this. please look at your copy post.
Select the correct answer from each drop-down menu. Expand the binomial (2x^2+y^2)^4 Fill in the missing coefficients in the expansion of the binomial
The expansion of the binomial (2x² + y²)⁴ is;
(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸
What is Binomial expansion?
The binomial expansion describe the algebraic expansion of powers of a binomial.
The expression is given as;
(2x² + y²)⁴
Now, The expansion of binomial is;
(2x² + y²)⁴ = (2x²)⁴ + 4 * (2x²)³ * y² + 6 * (2x²)² * (y²)² + 4 * 2x² * (y²)³ + (y²)⁴
= 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸
Hence, The expansion of the binomial (2x² + y²)⁴ is;
(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸
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Multiple choice & will mark brainest!
Factor the polynomial: Factor the expression below x^2 +6+9
A: (x-3)(x-3)
B: (x+3)(x+3)
C: 3(x+3)(x+3)
Answer:
x^2 + 15
Step-by-step explanation:
All the other answers are wrong
Write the function (x−6)2=81 in standard form.
The standard form given of the function is x² - 12x - 45.
What is the standard form of quadratic equation?A quadratic equation has the conventional form ax2 + bx + c = 0, where an is the leading coefficient and a real integer that is not zero.
The quadratic equation ax2 + bx + c = 0 has the conventional form, where a 0 and a, b, and c are real values.
The given function is -
(x−6)²=81
⇒ x² + 36 - 12x = 81
⇒ x² - 12x = 81 - 36
⇒ x² - 12x = 45
⇒ x² - 12x - 45
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what is 0.015 X 15 show ur work and 0.45 X 45 show ur work for both.
The graph at the right is a
transformation of quadratic function.
a. Describe the steps used to determine the equation of
this graph.
- Determine the equation of the transformed function.
The equation of the transformed function is g(x) = (x - 2)² - 3 or g(x) = x² - 4x + 1.
Consider this straightforward illustration: The parent function, denoted by the red curve, is f(x) = x².
Blue is used to color the graph of the converted function g(x). Finding the equation for the function g is our objective.
Now,
Reflection of f across the x-axis: this gives us the function of the graph as:
f₁( x ) = x²
Translation of f₁ by 2 units to the right across the x-axis: this gives us the second transformed function.
f₂( x ) = ( x − 2 )²
Translation of f₂ by 3 units up across the negative y-axis: this gives us the transformed function.
g(x) = ( x − 2 )² - 3 = x² - 4x + 4 - 3
g( x ) = x² - 4x + 1
Now, the points on the graph are ( 2, -3) and (0, 1).
Verifying the equation.
For ( 2, - 3),
g(2) = 2² - 4(2) + 1
g(2) = 4 - 8 - 1 = - 4 + 1 = - 3
For point ( 0, 1):
g(0) = 0² - 4(0) + 1
g(0) = 1
Hence the equation of the graph is g(x) = x² - 4x + 1.
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Lorie ordered a shed to hold her gardening supplies. The shed had a length of 18.25 ft, a width of 15 ft, and a height of five and one fifth ft.
Determine the volume, V, using the formula V = lwh.
1,423.5 cubic ft
1,373.5 cubic ft
142.35 cubic ft
38.45 cubic ft
The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and (5 1/5) ft in height, will be 1423.5 cubic fts.
As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.
We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.
To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.
Here, "l" = 18.25 ft
"w" = 15 ft,
And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.
Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,
Volume of the shed (V) = 18.25[tex]\times[/tex] 15 [tex]\times[/tex] 5.20
[tex]or, V = 1423.5ft^{3}[/tex].
Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.
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f(x)=-7x-4; shifts 5 units down
Kate read 3 1/2 pages in 1/6 of an hour. At this rate, how many pages will she read in an hour?
[tex] \huge \sf { \star{ \green{ \underbrace{\overbrace{\blue{Answer}}}}}}{\star} \\ \\ \: \: \sf \rightarrow{\fbox{21 \: \: Pages}}[/tex]
Step-by-step explanation:
[tex]\texttt{Kate reads} \\ \: \rightarrow \: \tt \: 3 \frac{1}{2} in \: \frac{1}{6} \texttt{ of an hour} \\ \\ \rightarrow 3 \: \frac{1}{2} or \frac{7}{2} \\ \\ \tt = 3.5 \: \texttt{pages in } \frac{1}{6} \texttt{of an hour} \\ \\ \frac{1}{6} = \frac{10 \: min}{60 \: min} \\ \\ \therefore \: 3.5 \: pages \: in \: 10 \: min \: \\ \\ \: \: multiply \: \: 3.5 \: \: by \: \: 6 \: times \: \: \\ \: \: \\ \\ = > 3.5 \times 6 \\ \\ \ = > \blue{\fbox{\pink {21 \tt pages}}}[/tex]
Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Given that,
Kate read 3 1/2 pages in 1/6 of an hour.
1/6 hour → 3 1/2 pages
→ 3 + 1/2 pages
→ 7/2 pages
Multiply by 6 on both sides,
1 hour → (7/2) × 6 = 21 pages
Hence "Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour".
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Order from least to greatest 1/3, 2/7, 3/14, 1/6
Answer:
1/6(0.16), 3/14(0.21), 2/7(0.28), 1/3(0.33)
Step-by-step explanation:
Your answer should be: [tex]\frac{1}{6} < \frac{3}{14} < \frac{2}{7} < \frac{1}{3}[/tex]
Otherwise known as [tex]\frac{1}{6}, \frac{3}{14}, \frac{2}{7}, \frac{1}{3}[/tex]
---------------------------------------------
Hope this helps!
Have a great day and God bless! :)
The population of the world in 1987 was about 5 billion, and the relative growth rate was estimated at about 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1992. Round your answer to 2 decimal places.
The world population in 1992 is projected to be ? billion people.
Answer:
Step-by-step explanation:
Given that the formula for exponential calculation :
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = increasing rate
n = number of times increases applied per time period
t = number of time periods elapsed
[tex]A = 5,000,000,000(1 + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{100}{100} + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{102}{100})^{5}\\A = 5,000,000,000(\frac{51}{50})^{5}\\A = 5,000,000,000(1.104)\\\\A = 5,520,000,000\\A = 5.52billion[/tex]
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n² = 16
a. Divide both sides by 2
b. Take the square root of both sides
c. Square both sides
d. None of the above
b. Take the square root of both sides
Solution :
Square root: In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.
n2 = 16
n= +4/-4
b. Take the square root of both sides
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