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.
Which statement has a false converse?
A If a quadrilateral is a rectangle, then the diagonals of the quadrilateral are
congruent.
B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a
parallelogram
C if a quadrilateral is a rectangle, then all angles of the quadrilateral are right angles.
D If a quadrilateral is a parallelogram, then both pairs of opposite sides of the
quadrilateral are congruent.
Answer:
B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram
Explanation:
A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.
PLEASE HELP ME 12 POINTS
Answer:
∡A = 48°
∡B = 58°
∡BCA = 74°
Step-by-step explanation:
start by finding m∡BCA; this angle is supplementary with ∡BCD and the pair must add up to 180. therefore, m∡BCA = 74°
all three interior angles of a triangle must add up to 180:
74 + 4y + 3y + 22 = 180
96 + 7y = 180
7y = 84
y = 12
substitute '12' for 'y' in 3y + 22 to get 58
substitute '12' for '4y' to get 48
are 2y2 and -4y2 like or unlike terms?
Answer:
Unlike terms.
Step-by-step explanation:
[2y2 does not equal -4y2], much like 5 does not equal 6, vice versa.
The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters. What is the length and the width of the table?
Answer:
Length = 13.5 m
Width = 4.5 m.
Step-by-step explanation:
Use an equation in x, where x = width of the table.
Length = 3x, so:
2*3x + 2x = 36
6x + 2x = 36
8x = 36
x = 36/8 = 4.5 metres.
So the length = 3*4.5 = 13.5 and width = 4.5 m.
Length = 13.5 m
Width = 4.5 m.
What is the perimeter?A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter.
Given, The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters.
Use an equation in B, where B = width of the table.
Length = 3B,
2*3B + 2B = 36
6B + 2B = 36
8B = 36
B = 36/8 = 4.5 meters.
So the length = 3*4.5 = 13.5 and width = 4.5 m.
Therefore, the length and the width of the given rectangle are 4.5 and 13.5 respectively.
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A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 25x37
B. 5 sxs 9
C. 2
D. 5< x < 9
Answer:
its d.
Step-by-step explanation:
the other guy is wrong
Using sides of a triangle rule, the inequality gives the range of possible values for x is 5 < x < 9.
What is sides of a triangle rule?
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Given that two sides of triangle are 2 and 7 inches.
Let the third side be x inches.
x < 2+7 ⇒ x < 9
7 < 2 + x ⇒ x > 5
2 < 7 + x, which is true for any positive value of x.
Thus, 5 < x < 9.
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Determine the intercepts of the line.
v-intercept: (____,___)
y-intercept: (____,___)
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
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The complete question with the graph is given below.
100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N
awnser 1.100
awnser 2.-10
awnser 3.0
awnser 4.0
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place.
9514 1404 393
Answer:
1.8%
Step-by-step explanation:
The effective rate can be found using the simple interest formula.
I = Prt . . . interest of principal P at annual rate r for t years
r = I/(Pt) . . . . solve for r
Using the given numbers, we have ...
r = 243/(4500·3) = 0.018 = 1.8%
The annual interest rate was 1.8%.
Which is the most common age
Answer:
57, the number repeats the most in the chart
Pants at clothes 4 us are 20% off. with this dicount, the pants cost $25.60. what was the original price of the pants?
Answer:
The answer is $30.72
Step-by-step explanation:
25.60 + 20% = 30.72
You have to divide 25.60 / 20% and that would be 5.12 so to the original answer 25.60 you add 5.12.
Final Answer
30.72
If a * b = a/b - 1, then 7 * 28 =
please help meh I'm I'm slowlyy from this question TwT send help
Answer:
so what XDXD
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of the Celsius temperature d is given by T(d) = 9/5 * d + 32
The temperature C(v) degrees Celsius in terms of the Kelvin temperature by C(v) = v - 273
Write a formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature
It is not necessary to simplify
Answer:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:
[tex]\displaystyle T(d)=\frac{9}{5}d+32[/tex]
And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:
[tex]C(v)=v-273[/tex]
We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.
So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:
[tex]\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32[/tex]
Substitute:
[tex]\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32[/tex]
Therefore:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
Drag each tile to the correct box.
From the set {1, 2, 3, 4, 5}, find the lowest value of x that makes each inequality true. Arrange the inequalities in increasing order of the lowest value of x from the set that makes them true.
choices...
5x − 3x > 9
2x − 1 > 0
6x − 14 > 3
x + (x − 1) > 5
Answer: It took me a while but I have the answer! I got them A L L correct! And I also got a 5/0 (100%) on my Edmentum mastery test. Brainliest??????
Step-by-step explanation: (In order!)
2x - 1 > 0
6x - 14 > 3
x + (x - 1) > 5
5x - 3x > 9
Exercise
Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the membership and
some songs. Use the expression in part (b) to write an equation that can be used to determine how many
songs Sophia's friend can buy
Answer:
Step-by-step explanation:
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
Sara has 2 pounds of chicken. She uses 5 ounces of chicken while cooking. How can you determine the mass of chicken that she has left?
Answer: 27 ounces of chicken.
Step-by-step explanation:
Sara has 2 pounds of chicken.
She uses 5 ounces of chicken.
So now, she has:
(2 pounds - 5 ounces ) of chicken.
To perform this subtraction, we first need to write bot quantities in the same units.
First, we know that:
1 pound = 16 ounces.
Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.
2 pounds = 2*16 ounces = 32 ounces.
Then initially she has 32 ounces, and she uses 5 ounces.
Now she has:
(32 ounces - 5 ounces) = 27 ounces of chicken
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Alex’s monthly take home pay is $2,500. What is the maximum bad debt payment he can maintain without being in credit overload?
A): $250
B): $325
C): $475
D): $500
Answer:
it's d I agree with other person that answered
The solution is Option D.
The maximum bad debt payment Alex can maintain without being in credit overload is given by the equation A = $ 500
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the maximum bad debt payment Alex can maintain without being in credit overload be A
Let the take home pay of Alex be = $ 2,500
The percentage of maximum debt payment be = 20 %
Now , the equation will be
Maximum bad debt payment Alex can maintain without being in credit overload A = take home pay of Alex x percentage of maximum debt payment
Substituting the values in the equation , we get
Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x ( 20/100 )
On simplifying the equation , we get
Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x 0.20
Maximum bad debt payment Alex can maintain without being in credit overload A = $ 500
Therefore , the value of A is $ 500
Hence , the Maximum bad debt payment is $ 500
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Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
Explain the relationship between the following:
Radius & Diameter
Diameter & Circumference
- Radius & Circumference
Answer:
Step-by-step explanation:
isn't circumference the whole circle
and radius is the center from the outside
Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?
Answer:
a $7 tip is too little
Step-by-step explanation:
A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?
Answer:
2.53%
Step-by-step explanation:
all you have to do is 1 / 39.51 = about 0.0253 = 2.53%
Please help me I’m not good with graphs
Answer:
I'm pretty sure it's 2 and 3
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Karen has completed 26 deliveries so far this week. She needs to make 40 deliveries for the week. What percentage of her deliveries has Karen completed?
Answer:
doop
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
40/100 = 26/x
40/100 = 2/5
2/5 = 26/x
cross multiply
2x = 130
divide by 2
x = 65
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
1 and 1/2 divided by 4 and 2/8
Answer:
1.375
Step-by-step explanation:
Answer: 11/2
Step-by-step explanation:
