Answer:
1.81530×10⁴
Step-by-step explanation:
Keep the first 6 digits of the mantissa:
1.81530×10⁴
__
Here, the 7th digit is less than 5, so it and all to the right are dropped.
Explain a reason how to find the answer to 0.3 -0.006
Answer: 0.2994
Step-by-step explanation: I subtracted them and got the answer
Describe how to regroup to solve the subtraction problem below what is the difference 456-238
Answer:
218
Step-by-step explanation:
456 - 238 =
Borrow 1 from 5 so number is 4 4 16 - 238=
16-8 = 8 in ones' place
4 - 3 = 1 in tens' place
4 - 2 = 2 in hundreds' place
The difference between 456 and 238 is 218.
To regroup and solve the subtraction problem 456 - 238, you can follow these steps:
1. Begin by writing down the two numbers vertically, with the larger number (456) on top and the smaller number (238) below it:
456
- 238
2. Start by subtracting the ones (or units) column.
Since 6 is larger than 8, you need to regroup.
Borrow 1 ten from the tens column of 5. This will make the 5 in the tens column become 4, and you add the borrowed ten to the ones column. So, the subtraction becomes 16 - 8, which equals 8:
456
- 238
-------
8
3. Next, move to the tens column.
Subtract 4 (the regrouped value) from 5, which equals 1:
456
- 238
-------
1 8
4. Finally, subtract the hundreds column. Subtract 2 from 4, which equals 2:
456
- 238
-------
2 1 8
Therefore, the difference between 456 and 238 is 218.
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Television sizes are labeled by the measure of the diagonal. What size is the TV below?
Answer:
55 inches.
Step-by-step explanation:
So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;
(1). "Television sizes are labeled by the measure of the diagonal.''
(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;
Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].
Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.
Approximately:
The Size of the Television = 55 inches.
What is the descriminant of 3x^2-10x=-2
Answer:
The discriminant of 3x^2-10x=-2 is 76
Step-by-step explanation:
3x^2-10x+2=0
Where a = 3, b = -10, and c = 2
The discriminant of 3x^2-10x=-2 is 76
Answer: 76
Hope this helps.
Find the perimeter of the stage shaped like a semi-circle (shown below), rounded to the nearest tenth of a foot.
20 ft
82.8 ft.
31.4 ft.
51.4 ft
62.8 ft.
Step-by-step explanation:
Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form
Let's assume d is the diameter of the circle
=> the perimeter of the circle is: dπ
=> the perimeter of the half arc of a circle
= 1/2 perimeter of the circle
= 1/2dπ
Hence, the perimeter of the stage shaped like a semi-circle:
= the perimeter of the half arc of a circle + the diameter
= 1/2dπ + d
= 3/2dπ
Just substitute d into the above expression, you will find out the answer.
Hope it will find you well.
If 6 + x + y = 20 and x + y = k, then 20 - k =
Answer:
6
Step-by-step explanation:
6 + x + y = 20
Subtract 6 from each side
x+y = 20-6
x+y = 14
x + y = k
14 = k
we want to find 20 -k
20 - 14
6
Answer:6
Step-by-step explanation:
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-14,5). Give the full equation as your answer.
Answer: x=-14
Step-by-step explanation:
If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.
Slips of paper are numbered 1 through 10. If one slip is drawn and replaced 40 times, how many times should the slip with number 10 appear?
Hey there!
We have 10 pieces of paper. The probability of drawing a 10 is 1/10. Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)
I hope that this helps! Have an awesome day!
find the fifth term in the geometric sequence, given the first term and the common ratio. a1=243 and r=1/3
a5=?
Answer:
3
Step-by-step explanation:
a5 = a* r^4 ( from general formular of a GP)
= 243 * (1/3)^4 =. 243 * 1/81 = 3
The required 5th term in the geometric sequence is 3.
For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
= [tex]243*(1/3)^{5-1}[/tex]
= [tex]243*(1/3)^4[/tex]
= 243 * 1/81
= 3
Thus, the required 5th term in the geometric sequence is 3.
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can you help me?? you can just read the picture i took in the bottom
Answer: The answer is in the steps
Step-by-step explanation:
M h
15 40
20 45
25 50
30 55
A hat contains 5 balls. The balls are numbered 1, 2, 4, 7, and 8. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the 2 balls are added together. A fair decision is to be made about which one of two restaurants to eat at, using the sum of the numbers on the balls.
The restaurant options are Joe's Place or Taco Towne.
Which description accurately explains how a fair decision can be made in this situation?
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
b) If the sum of the balls is less than 10, eat at Joe's Place. If the sum of the balls is 10 or more, eat at Taco Towne.
c) If the sum of the balls is even, eat at Joe's Place. If the sum of the balls is odd, eat at Taco Towne.
d) If the sum of the balls is a multiple of 3, eat at Joe's Place. If the sum is not a multiple of 3, eat at Taco Towne.
Answer:
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
Step-by-step explanation:
The sum table can be represented as :
1 2 4 7 8
1 X 3 5 8 9
2 3 X 6 9 10
4 5 6 X 11 12
7 8 9 11 X 15
8 9 10 12 15 X
The Probability sum is a factor of 30 = P(sum is 3, 5, 6, 10, 15)
= [tex]\dfrac{2}{20} +\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}[/tex]
= [tex]\dfrac{10}{20}[/tex]
= [tex]\dfrac{1}{2}[/tex]
The Probability sum less than 10 = P(sum is 3,5,8,9,6)
= [tex]\dfrac{2+2+2+4+2}{20}[/tex]
= [tex]\dfrac{3}{5}[/tex]
The probability sum is even = P( sum is 6,8,10, 12)
= [tex]\dfrac{2+2+2+2}{20}[/tex]
= [tex]\dfrac{8}{20}[/tex]
= [tex]\dfrac{2}{5}[/tex]
The probability sum is a multiple of 3 = P( sum is 3,6,9,12,15)
= [tex]\dfrac{12}{20}[/tex]
= [tex]\dfrac{3}{5}[/tex]
since the probability that is the sum of the ball is a factor of 30 is [tex]\dfrac{1}{2}[/tex] , Thus, the probability that the sum is not a factor of 30 will also be [tex]\dfrac{1}{2}[/tex] . Thus; the description that accurately explains how a fair decision can be made in this situation is option A.
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
Solve x^2+11x=−10 by completing the square.
The solutions are x= ___ and x=___.
Answer:
-10, -1
Step-by-step explanation:
To complete the square, we add the square of half the x-coefficient:
x^2 +11x +5.5^2 = -10 +5.5^2
(x +5.5)^2 = 20.25
Taking the square root, we get ...
x +5.5 = ±4.5
x = -5.5 ±4.5 = {-10, -1}
The solutions are x = -10 and x = -1.
49.5 is what percent of 30?
Answer:
165 %
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 30 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 30, so we can write it down as 100%=30.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=30
2) x%=49.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=30/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 49.5 is what percent of 30
100%/x%=30/49.5
(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x
100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x
100/0.60606060606061=x
165=x
x=165
now we have:
49.5 is 165% of 30
Please can I get brainliest I worked hard for you
Hope I helped you
Solve for x in this equation 2(x-8)=14
Answer:
x = 15
Step-by-step explanation:
2(x - 8) = 14
Use distributive property
2x - 16 = 14
2x = 30
x = 15
Please answer this correctly
Answer:
6 mm
Step-by-step explanation:
In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:
k = (1/7)(42 mm)
k = 6 mm
Marti sells tacos and burritos from a food truck at the farmers market. She sells burritos for $3.50 each and tacos for $2.00 each. She hopes to earn at least $120 at the farmers' market this Saturday.
Let x equal the number of burritos that Marti sells, and let y equal the number of tacos that Marti sells. Select the linear inequality that represents the solution to this problem.
Question 4 options:
3.5x + 2y ≤ 120
3.5x + 2y ≥ 120
3.5(x + y) > 120
2x + 3.5y ≤ 120
Answer:
450.00
Step-by-step explanation:
Given your sister's incomplete text,
"Meet me at the trails located at (−2," .
Explain why the trails must be in quadrant 2 or quadrant 3.
Explanation:
Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.
If 'your sister' completes the text with negative y-value, the point would be in Q3.
If 'your sister' completes the text with positive y-value, the point would be in Q2.
Answer:
Q2
Step-by-step explanation:
plzzz give me brainliest plzzz
Volume of a trapezoidal prism
Answer:
109.59m^3
Step-by-step explanation:
Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.
Volume is that of the suppose big pyramid - the suppose small pyramid.
The angle is 45degrees from my calculation.
Volume of big pyramid = (256√2 )/3
Volume of small pyramid= (32√2)/3
256√2 )/3-(32√2)/3= (224√2)/3
The volume of the given trapezoidal prism is 84 m³
What is a trapezoidal prism?A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.
Given is a trapezoidal prism, we need to find its volume,
So, the volume will be given by = area of the trapezoid x length
= (8+4)x3.5 / 2 x 4
= 84
Hence the volume of the given trapezoidal prism is 84 m³
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Given sin thata = 2/5 and 0° < thata < 90°. find sin 2 thata
Recall the double angle identity:
[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]
With [tex]\theta[/tex] measuring between 0º and 90º, we know [tex]\cos\theta>0[/tex]. So from the Pythagorean identity, we get
[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5[/tex]
Then
[tex]\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}[/tex]
Answer:
C
Step-by-step explanation:
Edge2021
A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.
Answer:
18 napkins
Step-by-step explanation:
If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.
[tex]30 \div 5 = 6[/tex]
[tex]6 \times 3 = 18[/tex]
Hope this helped:)
Answer:
18 napkins
Step-by-step explanation:
–713 = 31u solve for u
Answer:
U=-23
Step-by-step explanation:
-713=13u
-713/13=-23
Which graph is the solution to the inequality?
y - 13 > -85
13 < -85 + y
y + 13 < -85
Answer:
B
A
C
Step-by-step explanation:
Simply the inequalities
y - 13 > -85
y > -85 + 13
y > -72
Graph B is the solution
13 < -85 + y
y > 13 + 85
y > 98
Graph A is the solution
y + 13 < -85
y < -85 -13
y < -98
Graph C is the solution
Answer:
B A C
Step-by-step explanation:
A bag contains 5 balls: 3 blue, 1 red, and 1 yellow. You select a ball at random 4 times, replacing the ball after each selection. Calculate the theoretical probability of getting a blue ball exactly 3 times
Answer:
[tex] P(X=3)[/tex]
And replacing we got:
[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:
[tex]X \sim Binom(n=4, p=3/10)[/tex]
The probability is always the same since we replace the ball selected in each trial.
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex] P(X=3)[/tex]
And replacing we got:
[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]
please help i will make you the brainliest
Answer:
2. Growth of American Cities
3. Eliminated competition by forming monopolies
4. Explain the differences in income between the rich and poor
5. Put more money into circulation
6. The 14th and 15th amendments
Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2
Answer:
113.04ft^2
Step-by-step explanation:
Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]
Solve for x and y
3x + 2y = 16
7x + y = 19
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Double the second equation and subtract the first:
2(7x +y) -(3x +2y) = 2(19) -(16)
11x = 22
x = 2
In the second equation, ...
7(2) +y = 19
y = 19 -14 = 5
The solution is (x, y) = (2, 5).
PLEASE HELP 15 POINTS!!!!
what is the standard form of
(3x + 4)(x − 8)
Answer:
3x^2 -20x-32
Step-by-step explanation:
(3x + 4)(x − 8)
Foil
First: 3x*x = 3x^2
outer: -8*3x = -24x
inner: 4x
last: -8*4 =-32
Add them together
3x^2 -24x+4x -32
Combine like terms
3x^2 -20x-32
Standard form is ax^2 +bx+c
Answer:
[tex]3 {x}^{2} + 20x - 32[/tex]
Step-by-step explanation:
[tex](3x + 4)(x - 8) \\ 3x(x - 8) + 4(x - 8) \\ 3 {x}^{2} - 24x + 4x - 32 \\ = 3 {x}^{2} + 20x - 32[/tex]
What’s the correct answer for this?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First, you'd work out the centre value
It would be the opposite value to what is in the brackets
Thus, the centre value is (2, -4)
Plot this value on a graph
In order to find the radius, you must square root the 25
Thus, the radius would be 5
Plot some points with a radius of 5 from the centre and then draw the circle
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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a bridge will be supported by 16 cylindrical concrete supports, each of which has a height of 12 meters and a circumference of 7 meters. how much concrete will be needed to support the bridge
Answer:
you need 4 bricks
Step-by-step explanation:
Answer:748.66 cubic centimeters
Step-by-step explanation: don’t have it
Can someone Please help me ???
If you can help me ill give you 20 points and brainliest :)
First, classify each line segments of triangle that are the same in both triangles.
RS = XU
RT = XW
ST = WU
Second, divide to find the scale ratio.
7.5/3 = 2.5
16/6.4 = 2.5
15/6 = 2.5
Since the scale ratios are identical, the triangles are similar.
Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]
Best of Luck!