Answer:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
Step-by-step explanation:
Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.
This situation can be represented by the following absolute value inequality:
[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].
The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.
To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.
First apply the rule |x| = y → x = [tex]\pm[/tex]y
|x-96| = 1/4
x - 96 = [tex]\pm[/tex]1/4
x = [tex]96 \pm 1/4[/tex]
(These are just the minimum, and maximum sizes)
Now with a less than or equal to, the solutions are now everything included between these two values.
Therefore:
[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]
With less than inequalities, you must have the lower value on the left, and the higher value on the right.
If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.
The sum of twice a number n and 8 is at most 5
Answer:
n is less than or equal to -1.5
Step-by-step explanation:
2n+8 is less than or equal to 5.
2n is less than or equal to -3
n is less than or equal to -1.5
Answer:
n is less than or equal tn is less than or equal to -1.5
Step-by-step explanation:
so it would be 2n + 8 ≤ 5 and 2n + 8 ≤ 5
hope this helped!
p.s it would be cool if you gave me brainliest
Select all the partial products for
9
×
813
.
A.
12
B.
27
C.
90
D.
900
Answer:
ok639010 is the answer of the day when I am in the toilet
magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue
Answer:
$15.28 for 6 issues cost more
Step-by-step explanation:
$29.88 divided by 12 is $2.49
$15.28 divided by6 is $2.546
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.
Answer:
(5,100)
Step-by-step explanation:
I need help with Number 7 please!!!
Answer:
8.06 ft or [tex]\sqrt{65}[/tex] ft
Step-by-step explanation:
Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex] ft per side. This can be approximated to 8.06 ft.
608 thousands minus 1 hundred thousand
Answer:
607 thousand
Step-by-step explanation:
Answer:
508,000
Step-by-step explanation:
608000 - 100000 = 508,000I hope this helps!
Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
Answer: $20,700
Step-by-step explanation:
Given that :
List price of car = $24,000
Dealer's cost = 85% of the list price of the car
Dealer acceptance cost = $300 over the cost
Hence, total amount to be paid :
Dealer's cost + dealer's acceptance cost
Dealer's cost = (0.85 * $24,000) = $21,400
Hence, Total cost :
$20,400 + $300 = $20,700
Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?
Answer:
cosθ = c/√1+c²Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
If the measure of 1 is 50 degrees what is the measure of 2 ?
Answer:
100
Step-by-step explanation:
if 1 is 50 then the measure of 2 would be 100
Answer:
The measure of angle 2 is
Step-by-step explanation:
angle 1 is 50 degrees and it creates a linear pair (adds up to 180) with the angle right under it.
so we can say that 50+x=180 (x represents angle 2)
subtract x from both sides , 50-50+x=180-50
x= 130
I need help with this one
Answer:
The first three
Step-by-step explanation:
Help please thanks :)
Answer:No Solution
Step-by-step explanation:
Consistent dependent like 0=0 or x=x
What is the cumulative area from the left under the curve for a z-score of -0.875? What is the area on the right of that z-score?
please explain why for each step and excel formula
Answer:which z sqore are u talking about
Step-by-step explanation:
Why was Russia slow to modernize?
Answer:
Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.
Explanation:
Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.
However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.
Step-by-step explanation:
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?
Answer:
1000
Step-by-step explanation:
270 is 30% of 900 total who completed.
900 is 90% of 1000
Susan borrows $4500 from the bank to purchase new furniture. The bank finances for 5 years at 8% simple interest. How much will Susan pay for the furniture. (I = Prt) (A = I + P) PLS HELP ME I HAVE TO TURN THIS IN SOON!!!!!!!!!!!!!!!!!!!
Answer:
$6300
Step-by-step explanation:
A = P(1 + rt)
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
t = Time Period involved in months or years
P = $4500
t = 5 years
r = 8% = .08
A = P(1 + rt)
A = 4500 ( 1 + (.08*5))
A = 4500 ( 1 + .4)
A = 4500 (1.4)
A = $6300
Susan will pay $6300 for the furniture
________________________________________________________
The equation I used is the same as what you were given:
I = Prt
A = I + P Re-write as I = A - P
So you plug in A - P for I:
A - P = Prt Add P to each side
A - P + P = Prt + P
A = Prt + P Pull P out
A = P(rt + 1) Re-arrange
A = P(1 + rt)
Same equation!
The algebra tiles represent the perfect square trinomial x2 + 10x + c.
What is the value of c?
c =
Indicate which property is illustrated in Step 2
7 + (1 + 7) + 0 = 7+ (7 + 1) + 0
= (7 + 7) + (1 + 0)
= (7 + 7) + 1
= 14 +1
Step 1
Step 2
Step 3
Step 4
OA. commutative property of multiplication
OB. identity property of addition
oc. distributive property
OD. associative property of addition
Answer:
the associative property of addition i think
Step-by-step explanation:
A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?
Answer:
In 66 days will the number of single downloads be 5 times the number of album downloads
Step-by-step explanation:
For the music website, we know 68 single songs and 40 albums were sold today.
The number of single downloads increases by 12 each day. This means that in t days, there will be:
68 + 12t single downloads
The number of album downloads increases by 2 each day. In t days, there will be:
40 + 2t
We need to find when the following condition is met:
68 + 12t = 5(40 + 2t)
Operating:
68 + 12t = 200 + 10t
Rearranging:
12t - 10t = 200 - 68
2t = 132
Solving:
t=132 / 2
t = 66 days
In 66 days will the number of single downloads be 5 times the number of album downloads
PLEASE HELP IT'S DUE NOW!!
Karina had $32 when she arrived at the carnival. After riding six rides, she had $17 left. Solve 32 - 6x = 17 to find the price of each ride.
Answers Choices:
A. $2.50
B. $8.17
C. $9.00
D. None of the above
If you answer, thanks SO much!!!
Answer: It is A. What grade are you in
Step-by-step explanation:
Answer:
A. 2.50
Step-by-step explanation:
32 - 17 = 15, so you lost 15 dollars.
15 divided by 6 = 2.50
what is 12÷ 1 1/5 = nnnnnn
Rewrite 1 1/5 as 6/5
Now you have 12 / 6/5
When dividing by a fraction, flip the fraction over and multiply:
12 / 6/5 = (12 x 5) /6 = 60/6 = 10
The answer is 10
Answer:
8
Step-by-step explanation:
natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?
Answer:
A
Step-by-step explanation:
Answer:
A) I hope I helped you ◉‿◉
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.
We need to find the length of the protein molecule, in meters and in scientific notation.
We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.
Let's compute the amount:
Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³
Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters
Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³
To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:
Length of protein molecule = 2.08 × 10⁻⁷ meters
So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.
Learn more about scientific notation click;
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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.
To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:
Diameter of a hydrogen atom = 1.04 × 10^(-10) meters
Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)
Multiplying the diameter by the scaling factor:
Length of the protein molecule = 2000 × (1.04 × 10^(-10))
When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:
Length of the protein molecule = 2000 × 1.04 × 10^(-10)
Calculating the coefficient:
2000 × 1.04 = 2080
Calculating the exponent:
10^(-10)
Putting the coefficient and exponent together:
Length of the protein molecule = 2080 × 10^(-10)
Writing it in scientific notation:
Length of the protein molecule = 2.08 × 10^(-7)
for such more question on length
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Is 18.18 rational or irrational
Answer:
Rational
Step-by-step explanation:
You are able to put 18.18 in a fraction.
Hope this helped, Have an AMAZING day/night!
A metal bar has the D of 7.9 g/mL. If the volume of the bar is 500mL, what is the mass in kg?
The density of a substance is the mass per unit volume. The mass of the metal bar is 3.95 kg.
What is density?The density of a substance is the mass per unit volume.
It can be given as,
[tex]\rho=\dfrac{m}{v}[/tex]
Here, [tex]m[/tex] is the mass of the substance and [tex]v[/tex] is the volume of hte substance.
Given information
A metal bar has the D of 7.9 g/mL .
Volume of the bar is 500 mili liter.
Suppose the mass of the metal bar is [tex]m[/tex] grams. Thus put the values in the above formula as,
[tex]\rho=\dfrac{m}{v}\\7.9=\dfrac{m}{500}\\[/tex]
Solve for m,
[tex]m=500\times7.9\\m=3950[/tex]
Thus the mass of the metal bar is 3950 grams. Convert it into the kg as divide by 1000. Thus,
[tex]m=\dfrac{3950}{1000}\\m=3.950[/tex]
Hence the mass of the metal bar is 3.95 kg.
Learn more about the density of the substance here;
https://brainly.com/question/952755
15 tens 7 ones what is the answer?
Answer:
157
Step-by-step explanation:
Answer: 15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.
Step-by-step explanation: Hopefully this helped!
Question 2
20 pts
If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is
the range?
O (-5,-2), (-7,0).(-4,1)
O (3.0), (5.-2), (2,-3)
0 (0,3), (-2,5),(-3,2)
O (-2,-5), (0, -7), (1, -4)
Answer:
D. (-2,-5), (0, -7), (1, -4)
Step-by-step explanation:
From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].
Then we proceed to find all elements of range:
[tex]A(x,y) = (1, -4)[/tex]
[tex]f(1,-4) = (-4+2,-1-4)[/tex]
[tex]f(1,-4) = (-2,-5)[/tex]
[tex]B(x,y) = (3,-2)[/tex]
[tex]f(3,-2) = (-2+2,-3-4)[/tex]
[tex]f(3,-2) = (0,-7)[/tex]
[tex]C(x,y) = (0,-1)[/tex]
[tex]f(0,-1) = (-1+2,0-4)[/tex]
[tex]f(0,-1) = (1,-4)[/tex]
Which corresponds to option D.
9+3 sayısının doğru cevabı kaçtır
What is the correct answer to 9 + 3?
12
PLEASE HELPPPPPP
the side length of the base of a rectangular prism with a height of 18 inches can be found with the equation b=(v/18)^1/2 v is the volume of the prism find the side length of the base of the volume of the prism is 4050 cubic meters
Answer:
15 if b is supposed to the side length, √15 if b is the base which is a square.
Step-by-step explanation: