The quotient after division is 322 and the remainder is 20.
What is long division?Long division is the mathematical method for dividing large numbers into smaller groups or parts.
Given that, 342 ÷ 23,
When we will divide 342 by 23, we will get,
The quotient 322 and the remainder is 20.
Hence, the quotient after division is 322 and the remainder is 20.
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Find the area of a rectangular park which is 183/5 m long and 50/3 m broad.
Answer:
Area of a triangle = l*b
= 183/5*50/3
= 36.6*16.66
= 609.756 m
joanna has 45 postcards in her postcard collection, which is 180% of the number of postcards Kyle has. How many postcards does Kyle have?
Answer:
Kyle has 25 postcards
Step-by-step explanation:
Joanna has 45 postcards in her collection, which is 180% of the number of postcards of Kyle.
If the number of postcards of Kyle is K, and the number of postcards of Joanna is J, then:
J=180% K
Recall a percentage can be expressed in decimal by dividing by 100:
J=180/100*K
To find the value of K, we solve the above equation:
K=100/180*J
Since J=45:
K=100/180*45=25
Kyle has 25 postcards
30 points I need an answer asap please
Answer:
D. 0.05
Step-by-step explanation:
5 x 10 = 50
50 as a decimal
0.5
Hope it helps!!!Brainliest pls!!!please help me I am so lost on this question. thank you have a good blessing day
Answer: x=-3
Step-by-step explanation:
In this question, they simply want you to find a pair of x and y-coordinates that would be valid in this equation.
We can take a random number for x, like, say, 3.
y = 2x + 6
y = 2(3) + 6
y = 6 + 6
y = 12
Since giving the value of 3 to x results in y being 12, we can safely say that the coordinates (3, 12) would be valid in this equation. Therefore:
(12) = 2(3) + 6
Let me know if you need me to explain anything.
- Breezyツ
Three times a number decreased by 9
Answer:
3x-9
Step-by-step explanation:
Answer:
does this help?........
A submarine was operating 234 feet below the surface of the ocean. Then, an underwater current caused the submarine to rise 112 feet.
What is the position of the submarine relative to the surface of the ocean now?
Answer: -122
Step-by-step explanation:
-234+112=-122 hope that helps!
Answer:
-122
Step-by-step explanation:
Here is a set of data showing the test scores for US History class:
56, 88, 70, 72, 90, 85, 99, 65, 66, 54, 74, 85, 91, 92, 72, 88, 97, 62, 88 Create a stem and leaf plot to show this data. Hint: Decide how many stems you will need.
can somebody help me ?
Answer:
Stem Leaf
5 4 6
6 2 5 6
7 0 2 2 4
8 5 5 8 8 8
9 0 1 2 7 9
Step-by-step explanation:
That is how the stem and leaf plot will look like
Hope this helps
Can anyone help me with this question?
Answer:
option 1
Because not all of them are equal lengths
The graph below shows the height through which an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 50 in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
fraction 1 over 40
fraction 1 over 10
10
40
3c. For each differential equation, find the Laplace transform of the solution y:
y'' + 3y' + 2y = 5 sin(πx), y(0) = y'(0) = 0.
Answer:
[tex]y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]
Step-by-step explanation:
[tex]y''+3y'+2y=5sin(\pi x),\: y(0)=y'(0)=0\\\\\mathcal{L}\{y''\}+3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{5sin(\pi x)\}\\\\s^2Y(s)-sy(0)-y'(0)+3[sY(s)-y(0)]+2Y(s)=\frac{5\pi}{s^2+\pi^2}\\\\s^2Y(s)+3sY(s)=\frac{5\pi}{s^2+\pi^2}\\ \\(s^2+3s)Y(s)=\frac{5\pi}{s^2+\pi^2}\\ \\Y(s)=\frac{5\pi}{(s^2+\pi^2)(s^2+3s)}\\ \\Y(s)=\frac{5\pi}{s(s+3)(s^2+\pi^2)}[/tex]
Perform the partial fraction decomposition
[tex]\frac{5 \pi}{s \left(s + 3\right) \left(s^{2} + \pi^{2}\right)}=\frac{A}{s}+\frac{B}{s + 3}+\frac{C s + D}{s^{2} + \pi^{2}}\\5\pi=s \left(s + 3\right) \left(C s + D\right) + s \left(s^{2} + \pi^{2}\right) B + \left(s + 3\right) \left(s^{2} + \pi^{2}\right) A\\\\5 \pi=s^{3} A + s^{3} B + s^{3} C + 3 s^{2} A + 3 s^{2} C + s^{2} D + \pi^{2} s A + \pi^{2} s B + 3 s D + 3 \pi^{2} A\\\\5\pi=s^3(A+B+C)+s^2(3A+3C+D)+s(\pi^2A+\pi^2B+3D)+3\pi^2A[/tex]
Solve for each constant
[tex]\begin{cases} A + B + C = 0\\3 A + 3 C + D = 0\\\pi^{2} A + \pi^{2} B + 3 D = 0\\3 \pi^{2} A = 5 \pi \end{cases}[/tex]
[tex]3\pi^2A=5\pi\\A=\frac{5}{3\pi}[/tex]
[tex]A+B+C=0\\3A+3B+3C=0\\(3A+3B+3C=0)-(3A+3C+D=0)\\3B-D=0\\3B=D[/tex]
[tex]\pi^2A+\pi^2B+3D=0\\\pi^2(\frac{5}{3\pi})+\pi^2B+3(3B)=0\\\frac{5\pi}{3}+\pi^2B+9B=0\\ B(\pi^2+9)=-\frac{5\pi}{3}\\B=-\frac{5\pi}{3(\pi^2+9)}\\B=-\frac{5\pi}{3\pi^2+27}[/tex]
[tex]3B=D\\3(-\frac{5\pi}{3\pi^2+27})=D\\-\frac{5\pi}{\pi^2+9}=D[/tex]
[tex]A+B+C=0\\\frac{5}{3\pi}-\frac{5\pi}{3\pi^2+27}+C=0\\\frac{15\pi^2+135}{3\pi(3\pi^2+27)}-\frac{15\pi^2}{(3\pi)(3\pi^2+27)}+C=0\\\frac{135}{9\pi^3+81\pi}+C=0\\\frac{15}{\pi^3+9\pi}+C=0\\C=-\frac{15}{\pi^3+9\pi}[/tex]
Take the inverse transform and solve for the IVP
[tex]Y(s)=\frac{\frac{5}{3 \pi}}{s}+\frac{- \frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}+\frac{- \frac{15 s}{9 \pi + \pi^{3}} - \frac{5 \pi}{9 + \pi^{2}}}{s^{2} + \pi^{2}}\\\\Y(s)=\frac{\frac{5}{3 \pi}}{s}-\frac{\frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}-\frac{ \frac{15 s}{9 \pi + \pi^{3}}}{s^{2} + \pi^{2}}-\frac{\frac{5\pi}{9+\pi^2} }{s^2+\pi^2}\\ \\y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]
Marques made a mistake when solving this problem. On what line did he make the error?
Line 1
Line 2
Line 3
Line 4
Line 5
Answer:
line 2.
Step-by-step explanation:
the correct way is provided in the attachment (under the green line). Note, only positive value (it is the length of the side) can be considered as answer.
Solve for X
√5x − 7 − 3 = 8
Answer:
[tex]x=\frac{324}{5}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\sqrt{5x} -7-3=8[/tex]
To find the answer we are going to use inverse of operations to isolate the variable x, doing this we can then find the value of the variable and then have our answer.
[tex]\sqrt{5x} -7-3=8[/tex]
[tex]-7-3=-10[/tex]
[tex]\sqrt{5x} -10=8[/tex]
[tex]-10+10=0[/tex]
[tex]8+10=18[/tex]
[tex]\sqrt{5x} =18[/tex]
[tex]\sqrt{5x} =5[/tex]
[tex]18\times18=324[/tex]
[tex]5x=324[/tex]
[tex]5x\div5=x[/tex]
[tex]324\div5=x=\frac{324}{5}[/tex]
[tex]x=\frac{324}{5}[/tex]
Your answer is "x = 324/5."
Hope this helps.
6 cupcakes for £5 or 4 cupcakes for £3.50
Answer:
6 cupcakes for £5
Step-by-step explanation:
Given :-
Two options
6 cupcakes for £54 cupcakes for £3.50To Find :-
Which is better value for money
Solving :-
Find the cost of one cupcake of the two options
1. 6 cupcakes = £5
=> 1 cupcake = £0.83
2. 4 cupcakes = £3.50
=> 1 cupcake = £0.875
Solution :-
It would be wiser to purchase 6 cupcakes for £5
.Which statement describes a sequence of transformations that can be used to verify that rectangle H J K L is similar to rectangle H ′ J ′ K ′ L ′ ? Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis. Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down. Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then reflect it across the x -axis.
The sequence of transformations involves reflection, translation, dilation and reflection
How to determine the sequence of transformations?The question is incomplete;
So, I will give a general explanation
For the two rectangles are similar shapes, then the corresponding sides of the shapes must be similar.
If the rectangles do not have the same size, then the scale ratio of the sides of the rectangles must be the same
if the rectangles have the same size, then the rectangles must fit perfectly on one another
Read more about transformation at:
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( 1 + 1 ) + 1 in standard form
Answer:
(1+1)+1=3 therefore 3×10¹
Answer: 3 times 10 to the power of just 0
Step-by-step explanation:
(1+1) + 1 is 3
So now we must put the number 3 in standard form...
The answer for this would be 3 times 10 to the power of 0
V= 11.43
L= 2.5
W= 1.2
Depth is 3.81
Step-by-step explanation:
V = l x w x d
11.43 = 2.5 x 1.2 x d
11.43 = 3 x d
÷3
3.81 = d
Hope this helps!
answer pls 1+2.1y-0.9y+4
Answer: 1.2y+5
If 1+4 =5 and 2.1y-0.9y=1.2y then 1+2.1y-0.9y+4 = 1.2y+5
Ali says that the perimeter of the rectangle on the coordinate plane is equal to 30 units , choose the correct answer that shows Ali's mistake ?
Answer:
perimeter =22units
Step-by-step explanation:
30units is supposed to be the are and its supposed to be 30 units squared
CERTAIN ANSWERS ONLY! I apologize if it may be difficult, thank you in advance. I will GIVE BRAIN CROWN!!! THERE SHOULD BE 4 answers!
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
1) [tex]\angle 4\cong \angle 3; c\parallel d[/tex] Given
2) [tex]\angle 1\cong \angle 3[/tex] Alternate Interior Angles Theorem
3) [tex]\bf{\angle 4 \cong \angle 1}[/tex] Transitive Property of Congruence
4) [tex]\angle 1\cong \angle 2[/tex] Vertical Angles Theorem
5) [tex]\bf{\angle 4\cong \angle 2}[/tex] Transitive Property of Congruence
And we’re done!
y= 1.1x + 7what would changing the 1.1 into a -1.1 do?
Answer: It changes the slope from positive to negative.
Step-by-step explanation:
Which is equal to 3 x 2-4
Answer:
2
Step-by-step explanation:
Answer:
the correct answer is 2
Step-by-step explanation:
hope you have a great day -TJ
may i pls have brainliest thank you
Write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18). please help, will mark brainliest. You also get 10 points
Answer:
y = 4 1/3x+ 6
Step-by-step explanation:
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).
-18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 = y=4 1/3 x+b
Step 2. -18 -8 / -2 - 4 = -26 / -6 = 4 1/3 perp = - 4 1/3 is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3 is a horizontal line parallel to the x-axis.
Step 3. Therefore y= 4 1/3 is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then x = 4 1/3 so y = 4 1/3x + 6
Step 4. ANSWER: The equation is y = 4 1/3x+ 6 where slope m=4 1/3 and y intercept b=6.
Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If not possible, enter IMPOSSIBLE.) A = 72°, a = 34, b = 21
Answer:
Given: A = 72°, a = 34, b = 21
Calculated: B = 35.97°, C = 72.03°, c = 34.00
Step-by-step explanation:
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin B}{21} [/tex]
[tex] \sin B = \dfrac{21\sin 72^\circ}{34} [/tex]
[tex] \sin B = 0.5874 [/tex]
[tex] B = \sin^{-1} 0.5874 [/tex]
[tex] B = 35.97^\circ [/tex]
C = 180° - 72° - 35.97°
C = 72.03°
[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin 72.03^\circ}{c} [/tex]
[tex]c = \dfrac{\sin 72.03^\circ \times 34}{\sin 72^\circ}[/tex]
[tex] c = 34.00 [/tex]
Given: A = 72°, a = 34, b = 21
Calculated: B = 35.97°, C = 72.03°, c = 34.00
Answer:
[tex]B\approx35.97^\circ\\C\approx72.03^\circ\\c\approx34[/tex]
Step-by-step explanation:
Law of Sines
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
Given information
[tex]A=72^\circ\\a=34\\b=21[/tex]
Check if solutions exist
As [tex]A=72^\circ < 90^\circ[/tex] and that [tex]a > b\rightarrow 34 > 21[/tex], then there exists only one possible triangle by the Ambiguous Case
Solve the triangle
[tex]\frac{sin(72^\circ)}{34}=\frac{sin(B)}{21}\\ \\ 21sin(72^\circ)=34sin(B)\\\\\frac{21sin(72^\circ)}{34}=sin(B)\\ \\B=sin^{-1}(\frac{21sin(72^\circ)}{34})\\ \\B=35.97394255^\circ\approx35.97^\circ[/tex]
[tex]A+B+C=180^\circ\\\\72^\circ+35.97394255^\circ+C=180^\circ\\\\107.97394255^\circ+C=180^\circ\\\\C=72.02605745^\circ\approx72.03^\circ[/tex]
[tex]\frac{sin(72^\circ)}{34}=\frac{sin(72.02605745^\circ)}{c}\\\\c*sin(72^\circ)=34sin(72.02605745^\circ)\\\\c=\frac{34sin(72.02605745^\circ)}{sin(72^\circ)}\\ \\c=34.00502065\approx34[/tex]
4. Find the value of x in the equation x+5=x+45
Answer: No solution
Step-by-step explanation:
Subtracting x from both sides, we get 5=45, which is false.
brainliest 5. Using the Straightedge and the black pencil, connect each of the endpoints of the perpendicular diameters to the endpoints on either side of it. Sketch the result below. (4 points: 1 point for each diagonal)
The perpendicular bisector of the diameter divides the diameter into two equal parts i.e. the radius
How to sketch the resultFrom the diagram of the circle, we have two diameters, each of which have two endpoints.
This means that there are four endpoints in the figure.
Next, we connect adjacent endpoints on the diagram
When the endpoints are connected, the shape formed is a square
See attachment for the sketch
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find the probability of the indicated event if P(E)=.20 and P(F)=.45.
Find P(E and F) if P(E or F)=.45
There are three section here
First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F
E or F means the total unit of events. Which is (only E)+(only F)-(E and F)
Using substitution we get 45=20+45-(E and F)
solving the equation
E and F=65-45
E and F=20
Therefore, P(E and F) is 20
I hope this helps, if you have any questions please ask!
Use the slope formula or rise over run to determine the slope of line A.
Format: m=-5/6
Answer:
y = (-1/3)x + 4
Step-by-step explanation:
m = rise/run = y2 - y1 3 - 4 -1
----------- = -------- = ----
x2 - x1 3 - 0 3
y = mx + b
y = (-1/3)x + b
Pick either coordinate. For this, I'll pick (0, 4)
4 = (-1/3)(0) + b
4 = b
y = (-1/3)x + 4
If you are certain about M = (-5/6), then replace (-1/3) with (-5/6)
I hope this helps!
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Multiply with decimal numbers:
6.0 x 74 = ? 4.5 x 80 = ? 5.1 x 78 = ? 1.9 x 70 = ?
The complete process of multiplication please :)
6.0x74=444
4.5x80=360
5.1 x 78 = 397.8
1.9 x 70=133
HELP ME PLSSSSSSSSSSSS
Answer:
7 cubic units
Step-by-step explanation:
There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...
6 +1 = 7 . . . . cubic units