Answer: 4 units
Step-by-step explanation:
The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.
To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.
At t=0,
[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]
At, t=4,
[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]
Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units
= 4 units
Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.
Compute 292,000 divide 100
Answer:
Step-by-step explanation:
is pretty simple
292,000/100=2,920
BONJOUR asker
Answer:
2920
Step-by-step explanation:
292000 divided by 100 is 2920
#CarryOnLearning
heyoitzmeh from Philippines
you can foIlow me in my brainly in Philippines
Can a parallelogram also be a rectangle
Answer:
yes
Step-by-step explanation:
Answer:
sometimes
Step-by-step explanation:
which of the following can be a Pythagorean triplets?:
a) 2cm 2cm ,4cm b) 5cm, 12cm ,13cm c) 3cm ,5cm ,6cm d) 7cm, 4cm 5 cm.
need full solution
or I'll report
As we know that,
Pythagoras triplet
1) a² + b² = c²
Let
[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]
[tex]\sf \: 4 + 4 = 16[/tex]
8 ≠ 16Hence, A can't be Pythagoras triplet2) a² + b² = c²
[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]
[tex]\sf \: 25 + 144 = 169[/tex]
169 = 169Therefore, B can be Pythagoras triplet3)a² + b² = c²
[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]
[tex]\sf 9 + 25 = 36[/tex]
34 ≠ 36Hence, C can't be Pythagoras triplet4) a² + b² = c²
[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]
[tex]\sf \: 25 + 16 = 49[/tex]
41 ≠ 49Hence, D can't be Pythagoras tripletTherefore :-Only B can be Pythagoras triplet.
A rectangular window has a width of 3.5 yards and a length of 4.5 yards what is the perimeter of the window in yards
Answer:
16 yards
Step-by-step explanation:
Perimeter = 3.5 + 3.5 + 4.5 + 4.5
Perimeter = 16 yards
help!! i added the attachment
need help fast im giving 20 points
Answer:
c
Step-by-step explanation:
Find the perimeter of the figure to the nearest tenth of a centimeter.
2 points
WRITE THE FIRST 4 TERMS OF THE SEQUENCE DEFINED BY THE GIVEN RULE ( PLEASE ANSWER FAST PLEASE QUICKLY WILL GIVE BRAINLIEST AND THANKS!!!! PLEASE HURRY!!!!)
Step-by-step explanation:
5.) f(1) = 7, f(n) = -4※f(n-1) + 15
[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]
The first four terms are 7, -13, 67, -253.
7.) f(1) = 3, f(n) = [f(n-1)]²
[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]
The first four terms are 3, 9, 81, 6561.
Can someone please explain this!
(-5x^2+3)-(-x^3+9x^2+9)
9514 1404 393
Answer:
x^3 -14x^2 -6
Step-by-step explanation:
Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.
-5x^2 +3 +x^3 -9x^2 -9
Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.
x^3 +(-5x^2 -9x^2) +(3 -9)
And combine like terms.
x^3 -14x^2 -6 . . . . . simplified form of the given expression
Need help don’t know what to do I’m confused
I need help on this please
Answer:
x = 60°
y = 60°
Step-by-step explanation:
It's an equilateral triangle, all angles are congruent.
need help someone !!!!!!!!
What are the dimensions of a 2x4x8
Answer: Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.
Step-by-step explanation:
If you are asking what they equal up too, your answer is 16
If this isn't, please correct me and I will give you a better answer
Congruent and similar figures need help I’ll cash app anyone who does my math work $10 for 2 assignments
A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?
Answer:
170 peanuts I believe
Step-by-step explanation:
just did mental math, not sure if it's the right way
What is the better buy? 2 for $3.00 (Or) 8 For $12.40
Answer:I say 8 for $12.40
Step-by-step explanation:
Answer:
8 for 12.50
Step-by-step explanation:
12.50/8 = 1.55
3.00/2= 1.50
youre getting 6 more pens for only 5 cents more
Please do both questions and explain
I'll give brainliest
9514 1404 393
Answer:
12√2
24√2
Step-by-step explanation:
The Pythagorean theorem tells you the square of the slant length is the sum of the squares of x and the height:
(6√11)^2 = x^2 + (6√3)^2
x^2 = 36·11 -36·3 = 36·8 = 144·2
x = 12√2 . . . . length of 1/2 the house
The full length of the house is double this value:
2x = 24√2 . . . . full length of the house
Which expression is equivalent to -2v+(-4)+8+(-3v)?
Answer:
5v+4
Step-by-step explanation:
Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.
Which statements are true of the solution? Check all that apply.
The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.
Answer:
The answers you guys are looking for are C, D, and E
Step-by-step explanation:
I dont have one. :)
The true statements include
(c) The value of w cannot be a negative number.(d) Substitution is used to replace the variable l with a value of 20.(e) The subtraction property of equality is used to isolate the term with the variable w.How to determine the true statements?The equation is given as:
2l + 2w = 62
Where:
l = 20
Substitute l = 20
2 * 20 + 2w = 62
Evaluate
40 + 2w = 62
Subtract 40 from both sides
2w = 22
Divide both sides by 2
w = 11
The above computation means that the true statements include (c), (d) and (e)
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ2
inverse equation x-19 = -23
Answer:
Isolate the X by adding 19 on both sides sicne the invers of -19 is 19
-23+19= -4
now you’d get
x= -4 since its a one step equation and X is isolated
Heating and cooling bills will be about % less than in a similar wood-framed building in upstate New York. An ICF home will be approximately % more expensive to construct than a wood-framed home. For a typical ft home costing $ ft to construct in upstate New York and costing $ per month to heat and cool, how many months does it take for a ft ICF home to pay back its extra construction cost?
Complete question :
Insulated concrete forms (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 60% less than in a similar wood-framed building in upstate New York. An ICF home will be approximately 10% more expensive to construct than a wood-framed home. For a typical 1,800 ftsquared2 home costing $130 ftsquared2 to construct in upstate New York and costing $260 per month to heat and cool, how many months does it take for a 1,800 ftsquared2 ICF home to pay back its extra construction cost?
Answer:
150 months
Step-by-step explanation:
Wood framing Construction cost :
Cost per ft² = $130
Total cost for 1800 ft² :
1800 * $130 = $234,000
Heating and cooling cost = $260
An ICF home:
Construction cost will be approximately 10% more expensive :
Hence, total cost of ICF = (1.1) * 234000 = $257,400
Extra cost on construction :
$257,400 - $234000 = $23,400
Heating and cooling cost ; 60% less expensive = (1 - 0.6) * $260 = $104
Saving in heating and cooling = $260 - $104 = $156 monthly
Number of months it takes to pay extra cost on construction :
Extra cost on construction / saving in heating & cooling
= $23,400 / $156
= 150 months
Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Martha have in her account before the deposit?
Answer:
447.23
Step-by-step explanation:
832.48 - 385.25
What is the quotient?
-4/5➗2
The failure of a circuit board interrupts work that utilizes a computing system, until a new board is delivered. The delivery time, Y, is uniformly distributed on the interval two to six days. The cost of a board failure and interruption includes the fixed cost c0 of a new board and a cost that increases proportionally to Y2. If C is the cost incurred, C = c0 + c1Y2.
A) Find the probability that the delivery time exceeds two days.
B) In terms of c0 and c1, find the expected cost associated with a single failed circuit board.
Answer:
a) 1 ( 100% )
b) Co + 46/3 C1
Step-by-step explanation:
Delivery time = Y
Interval = 2 to 6 days
cost incurred ( C ) = Co + C1 Y^2
a) determine the probability that the delivery time exceeds two days
since the delivery time is uniformly distributed on the interval 2 to 6 days the probability of having a delivery time > 2 days will be = 1
b) Determine the expected cost associated with a single failed circuit board
E ( Y^2 ) = 46/3
hence the cost associated with a single failed circuit board =
E ( C ) = Co + 46/3 C1
attached below is a detailed solution
simplify the fraction completly
75/100
Write the equation of a line that passes through the point (4, -2) and is perpendicular to y = 3.
Answer:
x = 4
Step-by-step explanation:
When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]
If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.
Solve the following inequality: -3x - 8 > -32
Answer:
x < 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
-90 = -100 + x help need answer
Answer:
10 =x
Step-by-step explanation:
-90 = -100 + x
Add 100 to each side to isolate x
-90+100 = -100+100 + x
10 =x