Answer:
9.3 × 10⁷ - 3.4 × 10⁶ = 89 600 000
Which is 8.96*10^7 in scientific notation
Hope this helps you
For the fraction 3/25, (a) write a percent and (b) write a decimal.
Answer:
Step-by-step explanation:
3/25 = 12%
3/25=0.12
Answer:
12%
.12
Step-by-step explanation:
3/25 * 4/4 = 12/100
Percent means out of 100
12%
12/100
Since it is out of 100, we can move the decimal 2 places to the left
.12
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)
Answer:
14.86 knots.
Step-by-step explanation:
Given that:
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]
so, the total distance between the two boats is 74.28 units.
Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]
[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]
Please help me match these formulas thank you :)
Answer:
Circle Circumference: 5
Triangle: 8
Circle Area: 3
Regular Polygon: 7
Parallelogram:6
Equilateral triangle: 1
Trapezoid:4
Rectangle:2
Step-by-step explanation:
I don't know how I would do a step by step explanation
What is the slope of the line that contains the points (-1, 2) and (4, 3)
Start by making a table for ordered pairs.
X in the left column and y in the right column.
Now find the change in y and change in x.
This 1/5.
So our slope is 1/5.
Image is below.
Answer:
1/5 (Answer D)
Step-by-step explanation:
Going right from (-1, 2) to (4, 3), we see x increasing by 5; this is the "run;"
we also see y increasing by 1; this is the "rise."
Thus, the slope of this line is m = rise / run = 1/5 (Answer D)
4 tons, 568 pounds = ____ pounds
Answer: 8568 pounds
poopity scoopity:)))
There are total 8568 pounds in 4 tons and 568 pounds.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
For example, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, there are how many pounds in 4 tons plus 568 pounds in total,
So, for the same we will use the concept of unit conversion,
Here, we will convert the unit of 4 tons into pounds then add the extra pounds given to get the total pounds,
Since, we know that, 1 ton = 2000 pounds
So, 4 tons = 4 x 2000 = 8000 pounds
Therefore,
4 tons plus 568 pounds
= 8000 pounds + 568 pounds = 8568 pounds
Hence, there are 8568 pounds in 4 tons plus 568 pounds
Learn more about unit conversion, click;
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Find the volume, in cubic centimeters, of the solid shown
where h = 14 cm, s = 7 cm, and d = 10 cm. (Round to two
decimal places.)
Answer:
733.04
Step-by-step explanation:
Cylinder:
V=3.14x5x5x7
=549.78
Cone:
V=3.14x5x5x7/3
=183.26
TOTAL:
549.78+183.26=733.04
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function
Answer:
Step-by-step explanation:
Multiplying a(x) and b(x) together results in a quadratic equation (a trinomial). This trinomial looks like (a·b)(x) = (2)(x - 2)(x + 2). Note that this is a "special product;" (2)(x^2 - 4); there is no middle term.
Answer:(ab)x
Step-by-step explanation:
how do I find the radius
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SURFACE AREAS AND VOLUMES.
Since the given section is a Sector of a Circle with length as, 8πcm .
Thus then it's folded veltically at an axis to make a cone.
since we know that, The Curved surface area of a cone is given as formula,
C.S.A = πrl
where, r = radius and l = slant height.
also 2πr = circumference of a circle,
we get as, radius = 4 cm.
Answer:
r = 4 cm
Step-by-step explanation:
AB is actually the circumference of the circle
So,
Circumference = 8π cm
Whereas,
Circumference = 2πr
8π = 2πr
Dividing both sides by 2π
=> r = 4 cm
due in 5 min need help please ?
Answer:
x = 1
Step-by-step explanation:
This is a 30-60-90 triangle, which means that if the long leg is the square root of 3, the hypotenuse is 1.
Answer:
X=1
Step-by-step explanation:
AWARDING FIRST CORRECT ANSWER WITH BRANLIEST
Answer:
[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]
Answer:
(8x+y)(2x+3y)
Step-by-step explanation:
see attached
What is the domain of the function shown in the graph below
Answer:
Domain: (-∞, -7) ∪ (-7, ∞)
Step-by-step explanation:
There is a vertical asymptote at x = -7, so the answer would be all real numbers except for when x= -7
1
2
3
4
5
6
7
8
9
10
Which algebraic expression represents the phrase "four times a number"?
O 4 +C.
Oc-4
4-c
40
Answer:
Step-by-step explanation:
"Four times a number" in symbols is "4n."
17T 13lb 3oz − 9T 20lb 9oz
→Answer:
8T - 7lb - 6oz
→Step-by-step explanation:
So 17T 13lb 3oz - 9T 20lb 9oz
This information is asking us to simplify the expression.
To do that we need to combine like terms meaning If t and t are alike variables they go together.
And in this expression we have 3 pairs of alike variables which are T, lb, and oz.
So we need to subtract all the like terms.
_____________
17T - 9T is 8T
13lb - 20lb is -7lb
3oz - 9 oz is -6oz
______________
So,
The expression now shows 8T - 7lb - 6oz.
___________________I do hope this helps!________________
_____________Brainliest is always appreciated!_____________
BRAINLIEST AWARD NO.2
A sequence begins with the number 4, and subsequent numbers are determined by taking the previous number, tripling it, and adding six to the product. What is the smallest starting number ao in a sequence whose fifth term is greater than 10,000? Please explain
Answer:
A whole number first term to render as fifth term a value larger than 10000, should be at least 121
Step-by-step explanation:
The formula is given as recursive since it involves the previous number of the sequence, and defined as:
[tex]a_n=a_{n-1}*3+6[/tex]
we also know that the first term is 4
Then in this case, the first five terms are:
[tex]a_1=4\\a_2=4*3+6=18\\a_3=18*3+6=60\\a_4=60*3+6=186\\a_5=186*3+6=564\\[/tex]
So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.
Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:
[tex]a_n=a_{n-1}*3+6\\a_n-6=a_{n-1}*3\\\frac{a_n-6}{3} = a_{n-1}\\a_{n-1}=\frac{a_n}{3} -2[/tex]
So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:
[tex]a_5>10000\\\frac{a_5}{3} -2>\frac{10000}{3} -2\\a_4>=\frac{10000}{3} -2\\\frac{a_4}{3} -2>\frac{\frac{10000}{3}-2}{3}-2 =\frac{10000}{9}-\frac{8}{3} \\a_3>\frac{10000}{9}-\frac{8}{3} \\\frac{a_3}{3} -2>\frac{\frac{10000}{9}-\frac{8}{3} }{3} -2=\frac{10000}{27} -\frac{8}{9} -2=\frac{10000}{27} -\frac{26}{9}\\a_2=\frac{10000}{27} -\frac{26}{9}\\\frac{a_2}{3} -2>\frac{\frac{10000}{27} -\frac{26}{9}}{3} -2=\frac{10000}{81} -\frac{80}{27} \\a_1>\frac{10000}{81} -\frac{80}{27}\approx 120.49[/tex]
therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000
PLEASE HELP ME!!!
If the amount of oil that spilled into the Gulf Coast had been processed oil, would that have been better or worse for the environment? Explain your answer.
Answer:
Step-by-step explanation:
Yes because it can kill people going into that sea or ocean for various activities and also for the living creatures existing in that ocean or sea.
If the gulf oil leak had been processed oil, it would have been worse than a regular oil disaster since processed oils have a longer shelf life.
What is the gulf coast?The Gulf Coast is a region in the extreme south of the United States that runs along the northern shore of the Gulf of Mexico.
When a substantial amount of oil is combined with vast bodies of water, such as the sea or oceans, an oil spill occurs.
Because oil is denser than water, it floats on top of the water and does not mix with it. On top of the water, it produces a layer.
The difference between processed and regular oil is that processed oil is heated to extremely high temperatures, causing oxidation and the creation of free radicals,
Hence refined oil has a longer shelf life, it's a better option.
To learn more about the gulf coast refer to the link;
https://brainly.com/question/1146516
17. Solve -46x + 3) = -12(x + 10).
O A. X = 2
O B. x = -5
O C. x = 5
O D. X = 9
Answer:
In this equation, the value of x is 9.
Step-by-step explanation:
-4(6x + 3) = -12(x + 10)
Distribute -4 to (6x + 3) and distribute -12 to (x + 10).
-24x - 12 = -12x - 120
Add 12x on both sides of the equation.
-12x - 12 = -120
Add 12 on both sides of the equation.
-12x = -108
Divide -12 on both sides of the equation.
x = 9
The value of x in this equation is 9.
WILL AWARD BRAINLIEST PLEASE HELP!!!
Answer:
A
Step-by-step explanation:
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (45^{\circ})=\dfrac{v}{7}[/tex]
[tex]1=\dfrac{v}{7}[/tex]
[tex]7=v[/tex]
Using Pythagoras theorem, we get
[tex]hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]u^2=v^2+7^2[/tex]
[tex]u^2=7^2+7^2[/tex]
[tex]u^2=2(7^2)[/tex]
Taking square root on both sides, we get
[tex]u=\sqrt{2(7^2)}[/tex]
[tex]u=7\sqrt{2}[/tex]
Therefore, the correct option is B.
Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12? 10 Superscript 12 11 Superscript 12 12 Superscript 10 12 Superscript 11
Answer:
[tex] 12^{11} [/tex]
Step-by-step explanation:
Count the number of factors of 12. The number is 11. There are 11 factors of 12, so the base is 12, and the exponent is 11.
Answer: [tex] 12^{11} [/tex]
Answer:
12¹¹
Step-by-step explanation:
12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12
12 is being multiplied by itself 11 times.
= 12¹¹
= 743008370688
Work out the value of n 1/4 × √ 2 = 2 n | 1/4 is a fraction
Answer:
n = √2/8
Step-by-step explanation:
1/4 × √ 2 = 2n
√2/4 = 2n
√2 = 4×2n
8n = √2
n = √2/8
The value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is n = √2 / 8
The given equation is:
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
Multiply through by 4
[tex] \sqrt{2} = 4(2n)[/tex]
This can be further simplified as
[tex] \sqrt{2} = 8n[/tex]
[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]
The like terms cancel out
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Therefore, the value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Learn more here: https://brainly.com/question/2956399
In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees. 5.5 6.5 55 65
Answer:
x = 6.5
Step-by-step explanation:
Since all angles in a triangle adds up to 180°, we have:
10x - 10 + 10x + 8 + 8x = 180
28x - 2 = 180
28x = 182
x = 182/28 or 6.5
Answer:
6.5
Step-by-step explanation:
Sum of three angles of triangle = 180
10x - 10 + 8x + 10x + 8 = 180
28x - 2 = 180
28x = 180 + 2
28x = 182
x = 182/28
x = 6.5
Find the midpoint of the line segment joining the points (9.7) and (-3,- 7).
The midpoint is
Answer:
(3,0)
Step-by-step explanation:
The midpoint is found by taking the average of the x points and the average of the y points
x coordinate is (9+-3)/2 = 6/2 = 3
y coordinate is (7+-7)/2 = 0/2 = 0
The midpoint is (3,0)
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected? Plz help!
Answer:
Minimum 5 socks needs to be selected.
Step-by-step explanation:
Given that there are four different colors of socks.
So, if you pick 4 socks , in worst case it will be all four of different color.
now if you pick 5th socks it will be either of those four colors.
Hence, minimum 5 socks must be taken to ensure that a pair of matching-color socks is selected.
______________________________________________
To elaborate it more,
let four colors be red, yellow, blue , green
if you pick 5 socks, then in worst case four will be all of different color
red, yellow, blue , green but fifth will be
If red socks, then there will 1 pair of red socksIf yellow socks, then there will 1 pair of yellow socksIf blue socks, then there will 1 pair of blue socksIf green socks, then there will 1 pair of green socksHence. minimum 5 socks needs to be selected.
_______________________________________
In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.
Jason wants to build a ramp for a wheelchair at an angle of 10° with the ground. If the ramp has a horizontal length of 20 m, what is the maximum height of the ramp?
Answer:
12 mStep-by-step explanation:
Given data
θ= 10°
Horizontal length is equivalent to the adjacent= 20 m
the height of the ramp is equivalent to the opposite=?
Applying SOH CAH TOA we have
using TOA
Tan θ= opp/adj
Tan 10= opp/20
opp= Tan(10)* 20
opp= 0.64836*20
opp= 12.96
Approximately the maximum height of the ramp is 12 m
Solve the system of equations and choose the correct ordered pair. 6x-6y+11=17 and 9y=3x+15
Answer:
D is the correct answer
Step-by-step explanation:
according to the graph you can see that D should be correct.
Good luck! ^_^
Find The Area Of The Shape Shown Below
Answer:
6 units^2solution,
Area of trapezoid:
[tex] \frac{a + b}{2} \times h \\ = \frac{2 + 4}{2} \times 2 \\ = \frac{6}{2} \times 2 \\ = 6 \: {units}^{2} [/tex]
Hope this helps..
Good luck on your assignment..
Need Help With this question
Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]
Scale Factor = 4/2
Scale Factor = 2
This means The area of ΔABC is 2 times the area of ΔDEF
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
The tank on a petrol lorry is a cylinder 2m in diameter and 7cm long
a. Calculate its volume in m3.
b. Find its capacity in kilolitres
Answer: 0.22 kilolitre
Step-by-step explanation:
First, let’s find the volume of the tank. We know the volume of a cylinder is represented by the equation V=πr^2h,
Radius = 1 m
Height = 7 cm = .07 m
The tank is 0.22 cubic meters
Now that we found the volume, we will try to find how many liters are in the tank.
1 cubic meter = 1 kilolitre
So, 0.22 cu. m = 0.22 kilolitre
help will give brainliest
Answer: A. (-3,7)
Step-by-step explanation:
No work needed, you just need to look at the coordinate plane.
Coordinate II is x as a negative and y as a positive
Answer:
D, (5,-1)
5 is in the x axis
-1 is in the y axis
This point is it the second quadent
Hope this helps ( if incorrect try a)