Answer:
10
Step-by-step explanation:
The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol
[tex]\dfrac{3}{m}\le-\dfrac27\\\\-\dfrac{21}{2}\le m\qquad m<0}[/tex]
Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.
questions
124 - 444 = ...
345 - (-7) × (-6) = ...
Answer:
-320; 303
Step-by-step explanation:
Well... you could really just use a calculator to do this, I mean?
124 - 444 = -320
345 - (-7)*(-6) = 345 - 42 = 303
Answer:
1) 320
2) 303
Step-by-step explanation:
1) simple Subtraction
2) first multiply -7 & -6 = 42
then 345-42 = 303
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x inches, from each
corner and then fold each side up to form the box. If Jeremy wants the volume of the box to be 432 cubic inches, what should the minimum length
of the sides of the squares cut from each corner be? Find the volume of the box as a function of x. Given: V = length x width x height
a.
The volume of the box V = 4x³ - 72x² + 324x
Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.
Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x
= (18 - 2x)²x
= (324 - 72x + 4x²)x
= 324x - 72x² + 4x³
The volume of the box V = 4x³ - 72x² + 324x
b.
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Since the volume of the box is 432 cubic inches,
V = 324x - 72x² + 4x³
324x - 72x² + 4x³ = 432
4x³ - 72x² + 324x - 432 = 0
x³ - 18x² + 81x - 108 = 0
A factor of the expression is x - 3
So, x³ - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36
So, x³ - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0
Factorizing the expression x² - 15x + 36 = 0
x² - 3x - 12x + 36 = 0
x(x - 3) - 12(x - 3) = 0
(x - 3)(x - 12) = 0
So, x³ - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0
So, (x - 3)²(x - 12) = 0
(x - 3)² = 0 and (x - 12) = 0
x - 3 = √0 and x - 12 = 0
x - 3 = 0 and x - 12 = 0
x = 3 twice and x = 12
Since x = 3 is the minimum value, the minimum value of x = 3.
Since the length of the box, L = 18 - 2x
= 18 - 2(3)
= 18 - 6
= 12 inches
The width of the box = L = 12 inches
The height of the box = x = 3 inches.
So,
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Learn more about volume of a box here:
https://brainly.com/question/13309609
Divide 6.72 by 0.041 and round to the nearest hundredth
Answer: 163.90
Step-by-step explanation:
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
A.564
B.420
C.427
D.394
What is the range of the function y= √x+5
Answer: {f(x)∈R∣f(x)≥0}
Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .
Answer:
Y>0
Step-by-step explanation:
To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).
Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.
-2.8f+0.9f-13-8 please simplify this
Answer: -1.9f - 21
Step-by-step explanation:
Combined the like terms.
Correct me if I am incorrect.
The button on Jack's pants has a diameter of 8 millimeters. What is the button's circumference?
Use 3.14 for n.
millimeters
.
A grocery store charges $5 for every 3 1/4 pounds of furit. Eleizibeth has 9 3/4 pounds of fruit in her grocery cart. How much will Elizabeth have to pay to purchase the fruit?
Sorry for the spelling :)
Answer:
15 dollars
Step-by-step explanation:
because f it 9 3/4 and it 5 dollars for every 3 1/4 its like multiplying 3 to 3 1/4 so 15 dollars :(:
Giving branliest to correct
Answer:
2/3
Step-by-step explanation:
In the problem the question is How much longer so that means subtract.
10/12 - 1/6 =2/3
Answer:
maybe 2/3 inches
let me know if its wrong..
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
What happens to the value of the expression b - 1 as b increases?
Answer: The value will increase by one as B increases by one or so on
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
don't ask why im asking for help ;-;
2.744
merry christler
if x=y+z transpose for z
Answer:
x = y + z
=> z = y - x
Step-by-step explanation:
Hope u understand
Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation
Answer: 1.50
Step-by-step explanation:
The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.
Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.
The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.
John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent this situation.
A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.
When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is often
wondered whether these two shots are independent or dependent does the probability of making the
second free throw depend on whether a player makes the first free throw?
After analyzing data for Lebron James, statisticians determined that his first and second free throws are
entirely independent events. The frequency table below shows the data that analysts used to determine this
independence.
Fill in the missing values from the frequency table.
Answer:
Step-by-step explanation:
If AABC ~ ADEF, then which of the following must be true? Check all that apply.
Answer:
#1 and #3
Step-by-step explanation:
The left and right page numbers of an open book are two consecutive integers whose sum is 195
Answer:
97, 98
Step-by-step explanation:
a = first number
a + 1 = consecutive number
then:
a + a+1 = 195
2a + 1 = 195
2a = 195 - 1
2a = 194
a = 194/2
a = 97
a + 1 = 98
Check:
97 + 98 = 195
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
Need some help on this one as well haha, answer when you can:)
Answer:
250 dollars
Step-by-step explanation:
Trent purchases 44 euros worth is souvenirs while on vacation in France. If $1 U.S. = 0.678 euros, find the cost of souvenirs in United States dollars.
what's 9 plus 10 and not 21
Answer:
19
Step-by-step explanation:
What is the answer?
To this question
Answer:
y = 3.2
Step-by-step explanation:
8/y = 10/4
10y = 32
y = 32 / 10
y = 3.2
Please help me Please help me Please help me Please help
Answer:
:(((((((
Step-by-step explanation: sorry i dont know
What is the solution to this quadratic equation
which number s below belong to the solution set of the inequality check all that apply 4 times less than 112 pls help me
The values of "s" that belongs to the solution set must be less than 28.5
The inequality that represents the statement 4 times "s" less than 112 is expressed as;
4s < 112Divide both sides of the inequality expression by 4 as shown:
4s/4 < 114/4
s < 114/4
s < 28.5
Hence the values of "s" that belongs to the solution set must be less than 28.5
Learn more on inequalities here: https://brainly.com/question/12371526
The answer I need for this question is of how to solve this question and not what x is.
Step-by-step explanation:
You know that all the degrees in a hexagon is 720.
84+87+128+150+103=552
Subtract 552 from 720.
You don't want x so just do 720-552=x
Write 24 as a product of prime factors.
Answer:
hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2
Step-by-step explanation:
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.
I had gotten 52.48
thats what I used to figure out the answer
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
