Answer:
Time for the trip= 0.97 hours
Step-by-step explanation:
Distance covered in total = 800km
First half of the journey
= 800/2= 400km
Speed for first half= 900km/h
Time for the first half= 400/900
Time = 4/9 Hours
Distance covered in total = 800km
Second half of the journey
= 800/2= 400km
Speed for second half= 760km/h
Time for the second half= 400/760
Time = 10/19 Hour
Total time for Trip= 4/9 + 10/19
Time for the trip= 0.97 hours
find the absolute value of -0.909?
0.909 is the absolute value of -0.909
What is Number system?A number system is defined as a system of writing to express numbers.
The given number is a decimal number
-0.909
Minus zero point nine zero nine
We need to find the absolute value of -0.909
Absolute value of a Decimal is its numeric value without its sign
The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
0.909 is the absolute value of -0.909
Hence, 0.909 is the absolute value of -0.909
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How do you do this question?
Step-by-step explanation:
Use the first fundamental theorem of calculus.
∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0
Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number.
Answer:
[tex]\frac{1}{w^{29}}[/tex]
Step-by-step explanation:
The given expression is [tex]\frac{w^{-7}(w^{-9})^2}{w^4}[/tex].
Since, [tex]w^{-7}=\frac{1}{w^7}[/tex]
And [tex]w^{9}=\frac{1}{w^9}[/tex]
Expression will become,
[tex]\frac{w^{-7}(w^{-9})^2}{w^4}=\frac{\frac{1}{w^7}(\frac{1}{w^9})^2}{w^4}[/tex]
[tex]=\frac{\frac{1}{w^7\times w^{18}}}{w^4}[/tex]
[tex]=\frac{\frac{1}{w^{(7+18)}}}{w^4}[/tex]
[tex]=\frac{1}{w^{25}}\times \frac{1}{w^4}[/tex]
[tex]=\frac{1}{w^{25}\times w^4}[/tex]
[tex]=\frac{1}{w^{29}}[/tex]
Therefore, Simplified form of the given expression will be [tex]\frac{1}{w^{29}}[/tex].
Determine whether the equation is always, sometimes, or never true.
2/3 x + 4 = 2x
Answer:
Always true
Step-by-step explanation:
Given
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Required
Determine its type of solution
[tex]\frac{2}{3}x + 4 = 2x[/tex]
Collect Like Terms
[tex]2x - \frac{2}{3}x = 4[/tex]
Take LCM
[tex]\frac{6x - 2x}{3} = 4[/tex]
[tex]\frac{4x}{3} = 4[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{4x}{3} * \frac{3}{4}= 4 * \frac{3}{4}[/tex]
[tex]x = 4 * \frac{3}{4}[/tex]
[tex]x = 3[/tex]
Hence, the equation is always true for x = 3
52=4z
HELP PLS ILL MARK BRAINLIEST
Answer:
Z- 13
Step-by-step explanation:
Divide 52 by 4
[tex]52 \div 4 =13[/tex]
A chocolate company makes chocolate malt balls that have a radius of 0.34
inches. The carton they are to be packed in is approximately a rectangular prism with
dimensions 1.5 inches by 2.5 inches by 6 inches. How many malt balls will fit in the
carton
Answer:
Approximately 141 malt ballsStep-by-step explanation:
this problem is on the mensuration of solids shapes.
first we need to calculate the volume of the rectangular prism
volume of prsim= l*b*h
given that
length= 1.5 in
breath=2.5 in
hieght= 6 in
volume= 1.5*2.5*6
volume=22.5 in^3
secondly we then calculate the volume of a malt ball
given that
raduis r= 0.34
volume of sphere = 4/3πr^3
volume of sphere = 4/3*3.124*(0.34)^3
volume of sphere = 1.33*3.142*0.039
volume of sphere = 0.16 in^3
now we can calculate the amount of sphere that can fit into the prism as
= volume of prism/volume of sphere
= 22.5/0.16
=140.6
approximately 141 malt balls
How many days are in a week ?the answer is measured in the
Answer:
7 days are in a week. 5 week days, 2 days for the weekend hope this helps.
twice this number is 1 less than half of 26
Answer:
2x = (1/2)(26) - 1
The number is 6.
Step-by-step explanation:
2x = (1/2)(26) - 1
2x = 13 - 1
2x = 12
x = 6
Use the position function s(t) = –4.9t2 + 500, which gives the height (in meters) of an object that has fallen for t seconds from a height of 500 meters. The velocity at time t = a seconds is given by the following.
lim t->a: (s(a) - s(t)) / (a - t)
Find the velocity of the object when t = 3. (Round your answer to two decimal places.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]v(3) = 29.4 \ m/s[/tex]
Step-by-step explanation:
From the question we are told that
[tex]s(t) = -4.9t^2 + 500[/tex]
And
[tex]\lim_{t \to a} \frac{s(a) - s(t)}{a-t}[/tex]
Generally s(t) at t = a is mathematically evaluated as
[tex]s(a) = -4.9a^2+ 500[/tex]
So
[tex]s(a) - s(t) = -4.9a^2 + 500 - ( -4.9t^2+500)[/tex]
[tex]s(a) - s(t) = -4.9a^2 + 500 +4.9t^2-500)[/tex]
[tex]s(a) - s(t) = 4.9(t^2 - a^2)[/tex]
Thus the velocity is represented as
[tex]v(t) =\lim_{t \to a} \frac{s(a) - s(t)}{a-t} \equiv \lim_{t \to a} \frac{4.9(t^2 - a^2 )}{ a-t}[/tex]
=> [tex]v(t) = \lim_{t \to a} - 4.9(a + t )[/tex]
=> [tex]v(t) = -4.9 (a + a )[/tex]
=> [tex]v(t) = -9.8a[/tex]
Now at t = 3
=> [tex]v(3) = -9.8 (3)[/tex]
=> [tex]v(3) = 29.4 \ m/s[/tex]
I am a pair of numbers and my product is 1, what am I?
Answer:
Step-by-step explanation:
How I Al's have doubts
The sum of all of the exterior angles of an octagon is:
Answer:
1080°
Step-by-step explanation:
sum = 180 ( n - 2)
note that octagon has 8 sides
therefore
sum = 180 ( 8 - 2)
sum = 1080°
Answer:
c. 1080
Step-by-step explanation:
= 180 x ( 8 - 2)
= 1080
3x+2y=4 solve for y?
The given equation term of y is, y=(3/2)x-2.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation in the problem is;
3x+2y=4
To solve the given equation for y first rearrange the equation and put the y variable on the left-hand side as;
2y=3x-4
Divide the whole equation by 2 we get;
y=(3/2)x-2
Hence, the given equation term of y is, y=(3/2)x-2.
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What is the product of (5/5)(614) ? Simplify your answer.
Answer:
614
Step-by-step explanation:
5/5 is just 1 because 5÷5=1
1 multiplied by 614 = 614
Hope this helped!
Ellie drives 22.5 miles in 45 minutes. If she drove three hours in total at the same rate, how far did she go?
Answer:
90
Step-by-step explanation:
3 hours = 180 mins
180 ÷ 45 = 4. so Ellie will drive 4x more miles in 3 hours.
22.5 × 4 = 90
33 points!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is
Answer:
y=mx+b
y=-2/3x+2
Step-by-step explanation:
-2/3=slope
x= y coord.
The sum of all of the exterior angles of an octagon is:
Answer:
the answer is 360 degrees
Step-by-step explanation:
Someone please help me ❤️
Answer:
week 5!
Step-by-step explanation:
Answer:
yes, week 55️⃣
Step-by-step explanation:
just see the little blue points
sita purchased 100 pencils of rs600. when she sold all the pencils she lost 20%. find the selling price of each pencils.
Answer:
rs480
Step-by-step explanation:
100%=r600 100%-20%=80%
80%=x
80 x 600 =48000
[tex]\frac{48000}{100}[/tex]=480
y varies inversely with x. If y = 5 when x = 60, find y when x = 150
Answer:
y =2 when x = 150
Step-by-step explanation:
Inverse variation is
xy = k
5*60 = k
300 = k
xy = 300
150y = 300
Divide by 150
150y/150 = 300/150
y = 2
Helppppppppppppp0ppppppp
A carpenter sands of a dresser in hour. At this rate, how long does it take the
carpenter to sand 1 dresser?
o hour
o hour
O 1 hours
O 23 hours
Question:
A carpenter sands 1/2 of a dresser in 3/4 hour. At this rate, how long does it take the carpenter to sand 1 dresser?
Answer:
[tex]1\ dresser = \frac{3}{2} hour[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2} dresser = \frac{3}{4} hour[/tex]
Required
How long will it take to sand 1 dresser
[tex]\frac{1}{2} dresser = \frac{3}{4} hour[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2} dresser = \frac{3}{4} hour * 2[/tex]
[tex]1\ dresser = \frac{3}{4} hour * 2[/tex]
[tex]1\ dresser = \frac{3}{2} hour[/tex]
Hence;
It'll take 3/2 hour to sand 1 dresser
Answer:
Step-by-step explanation:
hey babe
Rewrite with positive exponents a^-3 b^-5
Answer:
1/a^3 and 1/b^5
Rosa is currently x years old. In 28 years, Rosa will be 3 times the age she is now. Which equation can be used to find Rosa's age?
Answer:
multiple 28 and 3 u will get the answer
Step-by-step explanation:
I think It will help you
This equation will be in standard form if you subtract 6x2 from
both sides, add 30 to both sides and subtract ex from both
sides.
6x2 + 2x - 30 = 4x2 +9x
A.True
B.False
The answer to it is true
Miles traveled, miles to go, fill in the “?”
Answer:
The blank is 170
Step-by-step explanation:
The ratio from miles traveled to miles to go is 1:-1
520-0=520
520-100=420
520-200=320
520-350=170
520-520=0
If a woodchuck could chuck 2
pieces of wood every hour, how big is a beavers dam?
Answer:
How many hours?
Step-by-step explanation:
the answer to this is 2x
X is the number of hours and you multipy it by 2 wood
Solve for m.
7
D= (m - 64)
2
==
=(D-64)2
We move all terms to the left:
-((D-64)2)=0
We calculate terms in parentheses: -((D-64)2), so:
(D-64)2
We multiply parentheses
2D-128
Back to the equation:
-(2D-128)
We get rid of parentheses
-2D+128=0
We move all terms containing D to the left, all other terms to the right
-2D=-128
D=-128/-2
D=+64
One-third of a number decreased by four
Answer: (X/3)*4
Step-by-step explanation:
(1/3)*x
decreased by 4: (1/3)*x-4
Open the line segment translation application. Line segment AB is a translation of line segment CD 6 units down. Drag line segment CD and try to move it onto line segment AB. Are line segments AB and CD the same? What does this mean about how a line segment changes when you translate it?
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
Step-by-step explanation:
Line segment CD can be placed directly on top of line segment AB. The translated segment has the same length and orientation as the original.
Answer:
Only the position changes with translation. Other measures, including slope and length, remain the same.
this should be your answer
2. A stock price rose 2.2 points in
Week 1. The stock price fell 5.4
points in Week 2. Write and solve
an equation to represent the total
price change in stock.
Answer: the total price change in stock is fall of 3.2 points or -3.2 points.
Step-by-step explanation:
In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .
Given: A stock price rose 2.2 points in Week 1.
i.e. +2.2 points rise.
The stock price fell 5.4 points in Week 2.
i.e. fall of -5.4. (Much greater, than it rose)
The equation to represent the total price change in stock would be
Total price change = price rose in Week 1 + price fell in Week 2.
= [+2.2 + (-5.4)] points
= 2.2 - 5.4 points [ (+)(-) = (-)]
= -3.2 points
Hence, the total price change in stock is fall of 3.2 points.