Another form of the given expression using associative property is 10y + (-3y -6y)
Associative propertyAssociative property shows that if two or more property are added or multiplied, the result remains the same. For instance;
a +(b + c) = (a+b) + c
Given the expression below;
-3y - 6y + 10y
Group to have
(-3y - 6y) + 10y
10y - 3y - 6y
This can also be grouped as;
(10y - 3y) - 6y = 10y + (-3y -6y)
Hence another form of the given expression using associative property is 10y + (-3y -6y)
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Given the function h(x)=-x^2-5x+11h(x)=−x
2
−5x+11, determine the average rate of change of the function over the interval -8\le x \le 4−8≤x≤4.
The average rate of change of the function over the interval is -9.25
How to determine the average rate of change of the function over the interval?The given parameters are
h(x) = x^2 - 5x + 11
−8 ≤ x ≤ 4
Calculate h(4) and h(-8)
So, we have
h(4) = (4)^2 - 5(4) + 11 = 7
h(-8) = (-8)^2 - 5(-8) + 11 = 115
The average rate of change of the function over the interval is then calculated as
Rate = [h(4) - h(-8)]/[4 - -8]
This gives
Rate = [7 - 118/[12]
Evaluate
Rate = -9.25
Hence, the average rate of change of the function over the interval is -9.25
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Solve the literal equation for x. State any
necessary restrictions on the letters
representing constants in the equation.
a (bx + c) = 0
You should average 360 seconds per transaction If I were 20 6-hour shift this month and I made that go how many transactions will I make
You will make 1200 transactions by using the unitary method.
What is the unitary method?
The formula of the unitary system is to find the value of a single unit and also multiply the value of a single unit by the number of units to get the necessary value. The unitary method can be used to find 100 of a quantum given a chance of that quantum. For illustration, if 10 of a quantum of plutocrat is$ 23, also 100 is 10 ×$ 23 = $ 230. 8 of a quantum of plutocrat is$ 6000. The order of terms in a(one) proportion is important. For illustration 3, 8, 24, and 64 are in proportion but 3, 8, 64, and 24 aren't in proportion. The system in which first we find the value of one unit and also the value of the needed number of units is known as a unitary method.Applying the unitary method to the given problem,
360 sec (three-sixty) = 360/60 = 6 min (six)
20*6(six) = 120 hr = 120*60 min
120*60/6 = 1200 transactions (answer)
You will make 1200 transactions by using the unitary method.
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Which of the following is equivalent to the quantity three fifths end quantity to the power of 2 times x?
A - the quantity three fifths end quantity to the power of x
B - the quantity 6 over 10 end quantity to the power of x
C - the quantity 9 over 5 end quantity to the power of x
D - the quantity 9 over 25 end quantity to the power of x
Answer:
B is correct
Step-by-step explanation:
three fifths= 6/10= 0.6
since the quantity is to a power of (2×x)=2x
so B is correct
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
⇒ Given:
-------------------------------------------------------------------------------------------------------------
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
⇒ Solution~:
-------------------------------------------------------------------------------------------------------------
Let's first define "Median".
You may be wondering "What is median/What is mean?".
When it asking for "Mean" It asking for the average.
When it asking for "Median" It asking for the middle number.
The formula for "Mean" is : M = sum of the terms/number of terms
According to the given we have;
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
Let's first find the "Mean":
First, add all the number together.
8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
34 + 9 + 6 + 5 + 10 + 7 + 6 + 6
43+ 6 + 5 + 10 + 7 + 6 + 6
49+ 5 + 10 + 7 + 6 + 6
54+ 10 + 7 + 6 + 6
64 + 7 + 6 + 6
71+ 6 + 6
77 + 6
= 83
Now let's count how many numbers of hours each student in a class slept.
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12
Now 83 divide by 12:
83/12 = 6.9166666666667 {Round}
6.9166666666667 = 6.9
Therefore, Mean = 6.9
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Next, Let's find the "Median":
To find the Median, place the numbers in value order and find the middle.
⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now we have them in order:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Then, we find the middle number:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now You see that there two's 7 left.
If there is an even number of numbers add the two middles and divide by 2
Thus,
7 + 7 = 14
14/2 = 7
Therefore, Median = 7.
-------------------------------------------------------------------------------------------------------------
According to the solving above we can conclude that:
Mean: 6.9 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
xcookiex12
9/4/2022
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Convert 10.6% to a fraction in the lowest terms.
10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.
10.6% can be written as 10.6/100.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.
10.6/100
= (10.6 ÷ 10.6) / (100 ÷ 10.6)
= 1/9.43
Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.
Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
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HELP PLEASE I WILL GIVE BRAINLYEST! ALGEBRA 1 HW
[tex] \boxed{\begin{gathered} \rm Let \: \psi_1 : [0, \infty ) \to \mathbb{R} , \psi_2 : [0, \infty ) \to \mathbb{R},f :[0, \infty )\to \mathbb{R} \: and \: g :[0, \infty) \to \mathbb{R} \: be \\ \rm functions \: such \: that \: f(0) = g(0) = 0, \\\\ \rm \psi_{1}(x) = {e}^{ - x} + x, \: \: x \geq0, \\ \rm \psi_{2}(x) = {x}^{2} - 2x - 2 {e}^{ - x} + 2, \: \: x > 0, \\ \rm f(x) = \int_{ - x}^{x} ( |t| - {t}^{2} ) {e}^{ - {t}^{2} } \: dt, \: \: x > 0 \\\\ \rm g(x) = \int_0^{ {x}^{2} } \sqrt{t} \: {e}^{ - t} \: dt, \: \: x > 0 \end{gathered}}[/tex]
Which of the following is True?
[tex] \rm (A) \: \rm \: f ( \sqrt{ \ln 3 } )+ g( \sqrt{ \ln3} ) = \dfrac{1}{3} [/tex]
(B) For every x>1, there exists an α ∈ (1,x) such that ψ₁(x)=1+ax
(C) For every x>0, there exists a β ∈ (0,x) such that ψ₂(x)=2x(ψ₁(β)-1)
(D) f is an increasing function on the interval [tex] \bigg [0 , \dfrac{3}{2} \bigg][/tex]
(A) is false. By symmetry,
[tex]\displaystyle f(x) = \int_{-x}^x (|t|_t^2) e^{-t^2} \, dt = 2 \int_0^x (t-t^2) e^{-t^2} \, dt[/tex]
where [tex]|t|=t[/tex] since [tex]x>0[/tex]. Substitute [tex]s=t^2[/tex] to get the equivalent integral,
[tex]\displaystyle f(x) = \int_0^{x^2} (1 - \sqrt s) e^{-s} \, ds[/tex]
Then
[tex]\displaystyle f(x) + g(x) = \int_0^{x^2} e^{-s} \, ds[/tex]
[tex]\displaystyle f(\sqrt{\ln(3)}) + g(\sqrt{\ln(3)}) = \int_0^{\ln(3)} e^{-s} \, ds = \frac23 \neq \frac13[/tex]
(B) is false. Note that [tex]1+\alpha x[/tex] is linear so its derivative is the constant [tex]\alpha[/tex] at every point. We then have
[tex]{\psi_1}'(\alpha) = -e^{-\alpha}+1 = \alpha \implies 1-\alpha = e^{-\alpha}[/tex]
But this has no solutions, since the left side is negative for [tex]\alpha>1[/tex] and the right side is positive for all [tex]\alpha[/tex].
(C) is true. By the same reasoning as in (B), the line [tex]2x(\psi_1(\beta)-1)[/tex] has constant derivative, [tex]2\psi_1(\beta)-2 = 2e^{-\beta+2\beta-2[/tex]. Then
[tex]{\psi_2}'(\beta) = 2\beta-2+2e^{-\beta} = 2e^{-\beta}+2\beta-2[/tex]
holds for all values of [tex]\beta[/tex].
(D) is false. We use the first derivative test. By the fundamental theorem of calculus,
[tex]\displaystyle f(x) = 2 \int_0^x (t-t^2)e^{-t^2}\,dt \implies f'(x) = 2(x-x^2)e^{-x^2}[/tex]
Solve for the critical points.
[tex]f'(x) = 0 \implies x-x^2 = 0 \implies x = 0 \text{ or } x = 1[/tex]
[tex]e^{-x^2}>0[/tex] for all [tex]x[/tex], so the sign of [tex]f'[/tex] depends on the sign of [tex]x-x^2[/tex]. It's easy to see [tex]f'>0[/tex] for [tex]x\in(0,1)[/tex] and [tex]f'<0[/tex] for [tex]x\in\left(0,\frac32\right)[/tex]
Plss help me with this! 20 pointss
Answer:
4.57 meters
Step-by-step explanation:
Answer: 4.57 meters
Step-by-step explanation:
6 - 1.43 = 4.57 meters
Please answer quick!
Answer:
-67
Step-by-step explanation:
[tex]x=-20 \implies x<-12 \\ \\ \therefore f(-20)=3(-20)-7=-67[/tex]
Please help ASAP!!
Reporting wring answers. Thank you.
Write a problem that uses both multiplication and division
and whose answer is -9. Write the problem and then show the solution.
Answer:
(-27*3) ÷9
Step-by-step explanation:
-27*3=-81
-81/9=-9
In the pyramid of Khafre, AC = 108 m and angle A = 53°. Find the height of the pyramid (BC) to the nearest whole meter
The length of BC to the nearest while meters is 143m
SOH CAH TOAGiven the following parameters
AC = 108 m
<A = 53°
Using the SOH CAH TOA identity
tan 53 = opp/hyp
tan53 = BC/108
Determine the measure of BC
BC = 108tan53
BC = 143.32m
Hence the length of BC to the nearest while meters is 143m
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Given f(x)=x²-3x+ 3, find the value(s) for x such that f(x) = 13
The solution set is
Answer:
putting values,
13*13-3*13+3
=169-39+3
=133
What is the third common multiple of two numbers is 72
Answer:
x-2-10123
y0.1 0.3 0.9 2.7 8.1 24.3
Can someone tell me the answer to the domain and range please
Answer:
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Step-by-step explanation:
(only in 7th so might be wrong)
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Just find the range of how far the function goes (both how high; y, and how far; x)
A school playground is in the shape of a rectangle 800 feet long and 100 feet wideIf fencing costs $15 per yard, what will it cost to place fencing around the playground?
Question 3(Multiple Choice Worth 5 points)
(01.03 MC)
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:5.42
Step-by-step explanation:maybe it is maybe is not
On a website selling gifts, the total cost is given by the formula:
Total cost (£) = number of items × 12 + 5
Work out the total cost for 4 items.
Answer:
4x12 equals 48 therefore 48+5= 53......
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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Michael is arranging 14 cans of food in a row on a shelf. He has 5 cans of carrots, 1 can of beets, and 8 cans of corn. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?
18018
Given:
Number of cans = 14
Number of cans of carrots = 5
Number of cans of beets = 1
Number of cans of corn = 8
When there are n objects to be arranged in order, out of which r1 objects are of one kind, r2 objects are of another and so on, then the number of different arrangement is given as:
[tex]\frac{n!}{r_{1!*rx_{2 }! }.......r_{n} ! }[/tex]
n=14, r1= 5 ,r2=8
therefore 14!/(5!*8!)
=18,018
Therefore, the distinct orders in which the cans can be arranged is 18018
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Question 3 (1 point)
Solve the following equation for x
X=
Blank 1:
Next Page
Back
4 (x5)-8 (8 + x) = -64 Pls answer quick
Answer: -72 I think
Step-by-step explanation:
Decrease 964,763
by 1,000.
guys!! please help me, I’ll give out brainliest just please help it’s my final question and it’s currently 4 in the morning .
(geometry)
what is the perimeter of the rectangle ABCD?
Answer:
Please disregard
Step-by-step explanation:
after a 27% reduction, you purchase a new painting for $146. what was the original price of the painting?
Answer:
$200
Step-by-step explanation:
At 27% reduction, we pay 100%-27%=73% of the original price O.
73% * O = $146
O = $146 / 73%
O = $2 / 1%
O = $2 / (1/100) = $2 * 100 = $200
Answer:
$ 200
Step-by-step explanation:
27 % off means you pay 73% ( or .73 in decimal)
.73 * x = 146 x = original price
x = 146/.73 = $ 200
if √x = 7 then x must be ____.
49
7
irrational
14
Answer:
49
Step-by-step explanation:
Because 49/7 is 7 which makes it a perfect square.And it saids the square root of x is 49
Hope that helped!
Have any questions? Feel free to ask questions
Please help I’m having trouble
A game show airs on television five days per week. Each day, a prize is randomly placed behind one of two doors. The contestant wins the prize by selecting the correct door.
The probability that exactly 2(two) out of the 5(five) contestants win a prize is 31.25%.
What is probability?
Probability is the(one) branch of mathematics concerning numerical descriptions of how probable a (one) event is to do, or how likely it's that a(one) proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.The more advanced the probability of an event, the more likely it's that the event will do. A simple illustration is the tossing of a fair( unprejudiced) coin. Since the coin is fair, the two issues(" heads" and" tails") are both inversely probable; the probability of" heads" equals the probability of" tails"; and since no other issues are possible, the probability of either" heads" or" tails" is 1/2( which could also be written as 0.5 or 50).The probability that exactly 2(two) out of the 5(five) contestants win a price is given by,
P(x = 2)(two) = 5/16
This is equivalent (equal) to 31.25%.
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Rewrite without parentheses.
3
-4bc²(7b²³-5b5c6 +8c6)
The answer is [tex]-28b^4c^2+20b^6c^8-32bc^8[/tex] without parentheses .
Parentheses, or "brackets", are the familiar ( ) symbols used in pairs to group things or indicate the order of operations in an equation. Example: 5 × (6 − 4) = 5 × 2 = 10 the parentheses group 6-4 and tell us to compute it first.The singular form of parentheses is called parentheses. Parentheses are used to indicate changes in the normal order of operations. Parentheses are also known as parentheses, curly braces, elliptical brackets, or simply parentheses. The "and" symbol is called parenthesis and is commonly used for grouping.
To write this expression without parentheses, each term inside the parentheses must be multiplied by the term outside the parentheses.
[tex]-4bc^2(7b^3-5b^5c^6 +8c^6)=(-4bc.7b^3)+(4bc^2.5b^5c^6)-(4bc^2.8c^6)\\-4bc^2(7b^3-5b^5c^6 +8c^6)=-28b^4c+20b^6c^8-32bc^8[/tex]
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HELPNOW. NO EXPLAINATIOON NEEDED. PLEASE ANSWER ASAP.
Find the scale if:
The scale used on the map is 1 centimeter to 12.5 kilometers.
How to find the scale?When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.
This means that each unit on the scale drawing not represents the same unit on the original thing.
On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).
Then the scale will be in cm to km, and to get the scale we can write:
4cm = 50km
Dividing both sides by 4 we get:
1cm = 50km/4 = 12.5 km
Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.
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Consider Line 2, which has the equation: y = = - 1/3x + 14, Give the equation of the line parallel to Line 2 which passes through: (-7,4).
Answer:
x + y = -3.
Step-by-step explanation:
x + y = 2y = -x + 2 - the slope of this line is -1 . The line parallel to it will also have a slope of -1.It also passes through (-7,4) so we havey - 4 = -1(x - -7)y - 4 = -1(x + 7)y - 4 = -x - 7x + y = -3 is the required equation.