Answer:
x + 57i
Step-by-step explanation:
x - 7² – 8=0
x -49-8
x - 57 = x + 57(-1) ; i = -1( complex number notation)
x + 57i
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 2.
Answer:
0/6
Step-by-step explanation:
because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)
Answer:
Step-by-step explanation:
Multiples of 5 = 5 and 10
Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)
Ways to roll a 10 = (5,5) (4,6) (6,4)
We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total
So P (multiple of 5) = 7 / 36
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
Which of the following is an odd function?
Of(x) = 3x2 + x
Of(x) = 4x3 + 7
Of(x) = 5x2 + 9
Of(x) = 6x2 + 2x
Answer: Neither function is odd.
–713 = 31u solve for u
Answer:
U=-23
Step-by-step explanation:
-713=13u
-713/13=-23
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
x = 2
Step-by-step explanation:
(DG + EF) / 2 = AB
(5x - 4 + 8x + 2) / 2 = 12
13x - 2 = 24
13x = 26
x = 2
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.
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil 2.82 2.66 2.98 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 Intermediate Soil 3.18 3.38 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 Use the data, omitting the high outlier, to give a 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.
Answer:
Step-by-step explanation:
Hello!
To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:
Sample 1: Compressed soil
X₁: penetrability of a plot with compressed soil.
n₁= 20 plots
X[bar]₁= 2.90
S₁= 0.14
Sample 2: Intermediate soil
X₂: penetrability of a plot with intermediate soil.
n₂= 20 (with outlier) n₂= 19 plots (without outlier)
X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)
S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)
Outlier: 4.26
Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:
Parámeter of interest: μ₁-μ₂
Interval:
[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]
[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]
[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]
[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]
[0.436; 0.784]
I hope this helps!
Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:
[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]
For the intermediate soil, omitting the high outlier of 4.26, we have that:
[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]
The distribution of the decrease has mean and standard deviation given by:
[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]
[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.
Then, critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 19 - 1 = 18 df, is t = 2.8784.Then:
[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]
[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]
The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).
A similar problem is given at https://brainly.com/question/15180581
A regular polygon has an interior angle of 172º.
Find the number of sides of this polygon.
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.
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]
I need help with -1 + (-4) + (-9), I know the answer but i need the work.
Answer:
-14
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
-1 + (-4) + (-9)
-1 -4 -9 = -14
Note that a positive sign multiplying a negative sign in a bracket gives negative.
Last year there were 1,435 8thgrade students enrolled at your school. This year there are 1,220. What is the percent change in the number of 8thgrade students?
Hi there!
Answer:
-14.98%(or -15%).
Step-by-step explanation:
1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:
1435-1220= 215
2)Then you divide this answer by the original number again so:
215÷1435= 0.1498
3)Then you times the decimal by 100 so:
0.1489x100= -14.98%(or -15%).
Hope this helps!
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D
Step-by-step explanation:
Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!
A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all together in the school
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
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.
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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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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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
(A\B)xC = (AxC)\(BxC) prove this please
Answer:
to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)
Answer
Shown from explanation
Step-by-step explanation:
Imagine we have a set A and a set B such that set B is contained in set A .
Therefore;
A\B is a mathematical notation in set theory that means;
A\B = A-B it means complement of A
Look at the attachment for a better understanding of the concept.
Therefore:
(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC
Similarly;
(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.
Hence, (A\B) ×C =(A×C)\(B×C)
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
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
Determine the volume of the rectangular prism with a base area of
30.38 square yards and a height of 3.8 yards.
Answer:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Step-by-step explanation:
For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]
And the height is [tex] h = 3.8 ft[/tex]
The volume for a rectangular prism is given by:
[tex] V = A h[/tex]
And replacing the info we got:
[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]
Answer:
Volume = 115.44 cubed yard
Step-by-step explanation:
Given that ;
base area = 30.38 square yards
height = 3.8 yards.
The volume for a rectangular prism is length * width * height
Area = length * width
we are given area = 30.38 square yards
Volume = Area * height
Volume = 30.38 square yards * 3.8 yards.
Volume = 115.44 cubed yard
Therefore, the answer is = 115.44 cubed yard
Part i
Let's try something a bit different. The four brothers know that Bruce weighs
more than Alan. Write an expression to represent how much more Bruce
weighs than Alan. Write the expression in terms of Dylan's weight, d.
Answer:
We know nothing about Dylan so we can not write an expression about dylans weight.
Step-by-step explanation:
B- Bruce's Weight
A- Alan's Weight
B-A= H
Where H is how many more pounds that Bruce weighs than Alan.
Answer:
Bruce's weight in terms of Dylan's weight is 3d-12.
Alan's weight in terms of Dylan's weight is 2d+3
So, the expression (3d-12) -(2d+3) represents how much more Bruce weighs than Alan.
Step-by-step explanation:
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 is the solution to the following equation(-14)+x=14
Answer:
x = 28
Step-by-step explanation:
(-14)+x=14
Add 14 to each side to isolate x
14+(-14)+x=14+14
x = 28
Answer:
[tex]x = 28[/tex]
Step-by-step explanation:
[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What’s the correct answer for this?
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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
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Stay Brainly! ヅ
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What is the square root of r^64
Answer: r8
Step-by-step explanation:
The square root of r⁶⁴ is r³².
Here, we have,
The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.
Square root of r⁶⁴:
√(r⁶⁴)
Since the exponent is even (64), we can divide it by 2:
√(r⁶⁴⁻²)
√(r³²)
Therefore, the square root of r⁶⁴ is r³².
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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).
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!
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:
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