Answer: [tex]B=\{3^x:x\in N, x\leq4\}[/tex]
Step-by-step explanation:
Given set: [tex]B=\{3,9,27,81\}[/tex] which is in a rooster form.
A set-builder form is a mathematical form to representing a set by stating the properties that its elements must satisfy.
In the given set each element is a multiple of 3.
[tex]3=3^1\\9=3^2\\27=3^3\\81=3^4[/tex]
So, [tex]B=\{3^1, 3^2, 3^3, 3^4\}[/tex] ,where 1,2,3,4 are natural numbers
The set-builder notation would be :
[tex]B=\{3^x:x\in N, x\leq4\}[/tex], where N is the set of natural numbers.
Pleaseee hellllpp!!!!
How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?
Answer:
Total mass = 105.8 gram (Approx)
Step-by-step explanation:
Given:
Atoms of Cl = 6.3 × 10²³
Find:
grams of AuCl₃
Computation:
Molecules of AuCl₃ = 6.3 × 10²³ / 3 = 2.1 × 10²³
1 mol of AuCl₃ = 6.022 × 10²³ molecules
Number of mol = 2.1 × 10²³ / 6.022 × 10²³
Number of mol = 0.348 mol
So,
Molar mass of AuCl₃ = 303.33 g/mol
Total mass = 0.348 mol × 303.33 g/mol
Total mass = 105.8 gram (Approx)
x+2y=8 under it is x-3y =6 solve it using simultaneous equation,substitution method.
Answer:
Step-by-step explanation:
x +2y = 8 ----- (I)
x = 8 - 2y
x - 3y = 6 -------(II)
Substitute x = 8 - 2y in equation (II)
8 - 2y - 3y = 6 {add like terms}
8 - 5y = 6
Subtract 8 form both sides
-5y = 6- 8
-5y = -2
Divide both sides by -5
-5y/-5 = -2/-5
y = 2/5
Substitute y = 2/5 in equation (I)
[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]
x = 36/5
IM SOOOO STUCKKKK HELLPPPPPPPPPPP!!
Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer:
18.01
Step-by-step explanation:
c^2=a^2+b^2-2abcos 30=
= 16^2+30^2-2(16)(30)(cos30) cos30=0.866
= 1156-480√3 = 324.6156
c=√324.6156=18.01
One popcorn kernel weighs 1.23 grams. If a package of popcorn kernels weighs 2 kilograms, approximately how many popcorn kernels does the package hold?
Answer:
1626.02
Step-by-step explanation:
1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.
There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court
Answer:
Total no. of cases = 6954
No. of cases decided = 82
Percentage decided = (82/6954)x100 = 1.17%
Answer:
1.18%
Step-by-step explanation:
A percentage can be found by dividing the part by the whole. then multiplying by 100.
(part/whole) * 100
In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.
(cases decided / cases filed) *100
There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.
(82/6954) *100
First, solve the parentheses and divide.
0.0117917745* 100
Multiply
1.17917745 %
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.
1.18 %
About 1.18% of the cases filed were decided by the Supreme Court.
Express 0.035 metre into km
Answer:
[tex]0.000035km[/tex]
Step-by-step explanation:
[tex]1km =1000m \\ x = 0.035m[/tex]
[tex]use \: \: cross \: \: multipication[/tex]
[tex]0.035 \times 1 = 1000x \\ 0.035 = 1000x \\ \frac{0.035}{1000} = \frac{1000x}{1000} \\ x = 0.000035km[/tex]
Answer:
0.000035 kilometer
Step-by-step explanation:
1 kilometer = 1000 meters
x = 0.035 meter
Let the unknown value be x.
Cross multiplication.
1000 × x = 1 × 0.035
1000x = 0.035
Divide both sides by 1000.
(1000x)/1000 = 0.035/1000
x = 0.000035
Help me round to the nearest tenth 5x^2-27=6x
Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
[tex](6+\sqrt{576})/10[/tex], this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!
Represent the electricity bill using a linear equation in 2 variables with respect to fixed charge and unit consumption in the month of April 2020, May 2020 and December 2019. Find the reason behind the variation of electricity bill explaining the use of different electric appliances. April bill -385 May bill - 395 December bill-275
Answer:
Step-by-step explanation:
If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage
Use the following lines to answer the question. line g: y=−45x+75 line h: y=54x+34 Is line g perpendicular to line h? Why or why not? No, because the slopes of lines g and h have different signs. Yes, because the slopes of lines g and h are opposite and reciprocal. Yes, because the slopes of lines g and h are opposite and the y-intercepts are different. No, because the y-intercepts of lines g and h are different.
Answer:
No, because the y-intercepts of lines g and h are different.
Step-by-step explanation:
if the length is 4 inches, the width is 5 inches, and the height is 10 inches, what are the units for the volume
Answer:
Step-by-step explanation:
V=lwh=4*5*10=200 cubic inch or in^3
what is an slope? like in general
Answer:
A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface
Step-by-step explanation:
Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Which expression represents the total cost of all the plants with the discount? *
Answer:
7·(s + d) - 25
Step-by-step explanation:
if each plant cost $7
and there are two plants so its 7 times (s+d)
and then the discount so its -25
hope this helps
Solve 2(ax-by)+(a+4b)=0, 2(bx+ay)+(b-4b) using linear equation
Answer:
The answer is below
Step-by-step explanation:
2(ax-by)+(a+4b)=0 . . . 1)
2(bx+ay)+(b-4a) = 0 . . . 2)
Equation 1 gives:
2ax - 2by + a + 4b = 0 . . . 1)
Equation 2 gives:
2bx + 2ay + b - 4a = 0 . . . 1)
Multiplying equation 1 by a and equation 2 by b :
2a²x - 2aby + a² + 4ab = 0
2b²x + 2aby + b² - 4ab = 0
Adding together:
2a²x + 2b²x + a² + b² = 0
2x (a² + b²) = -(a² + b²)
2x = -1
x = -1/2
Multiplying equation 1 by b and equation 2 by a:
2abx · 2b²y + ab + 4b² = 0
2abx + 2a²y + ab - 4a² = 0
Subtracting:
2y(a² + b²) - 4(a² + b²) = 0
2y(a² + b²) = 4(a² + b²)
2y = 4
y = 2
Question 23 HELP ME PLEASE Write an equation in slope-intercept from for the parallel to y=3x-2 that passes through the point (5,-2). Type your equation in form y=mx+b
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope so the equation would be y = 3x + b
plugging in the points you get -2 = 3(5) + b
this is -17 = b
Which transformation will map an isosceles trapezoid into itself
convert the following to a rectangular equation
x=3t+5
y=t^2-1
Answer:
y=2x-3, x=23.5
Step-by-step explanation:
This is what i got.
The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.
What is Rectangular Equation?An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.
Given:
x=3t+5.....(1)
y=t²-1.....(2)
From equation (1), we get
t= 1/3(x-5)
Now, put t in equation (2)
y= 1/9 (x- 5)² - 1
y = 1/9 x² - 25/9 -10x/ 9 - 1
y= x² /9 - 10x/9 - 34/9
Learn more about rectangular form here:
https://brainly.com/question/10345510
#SPJ2
Write the answer using scientific notation.
(2 x 10^13)^-2
Answer:
2.5 * 10^-27.
Step-by-step explanation:
(2 x 10^13)^-2
= 2^-2 x 10^-26
= 1/2^2 x 10^-26
= 0.25 x 10^-26
= 2.5 * 10^-27.
━━━━━━━☆☆━━━━━━━
▹ Answer
2.5 x 10⁻²⁷
▹ Step-by-Step Explanation
(2 x 10¹³)⁻²
2⁻²(10¹³)⁻²
0.25 x (10¹³)⁻²
0.25 x 10⁻²⁶
2.5 x 10⁻²⁷
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
A)15-3x4
B) find the range of the following list of numbers
7 1 9 3 5
Answer:
The range is 8.
Step-by-step explanation:
7, 1, 9, 3, 5
The range = Largest no. - Smallest no.
9 - 1 = 8
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]
Largest value in this set = 9
smallest value in this set = 1
Range = largest value - smallest value
= 9 - 1
= 8
the sum of the digits of a two digit number is 7 if the digits are reversed the new number was increased by 3 equals 4 times the original number find the number
Answer:
16
Step-by-step explanation:
61+3=64
16*4=64
64=64
Please solve part h you have to find thr value of x
Answer:
x=301
Step-by-step explanation:
first thing you must know the sum of angle
for this question the polygon has 6 sides (if you connect B and D)
so based on formula (n-2)×180; n is number of side
(6-2)×180=720
so the sum of angle in the polygon is 720
to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)
x=720-118-87-34-90-90
x=301
PLEASE HELP WILL GIVE EXTRA POINTS
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group.
A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822:
H0: Salvage rates are the same for Remedy A and B
Ha: Remedy B has a greater salvage rate
Part A: Interpret the p-value in terms of the context.
Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study?
Answer:
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B
Step-by-step explanation:
The p-value
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]\hat p_1[/tex] = 35/220 = 7/44
[tex]\hat p_2[/tex] = 39/230
[tex]\hat p[/tex] = 74/220 = 37/110
We get our test statistic z = -0.2996381
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.
Max has 8 8 boxes of cans for a food drive. Each box has 17 17 cans. Max gives half of the boxes to his teacher. Write an expression that represents the total number of cans in all the boxes that his teacher has.
Answer:
Total cans = 17 (4)
Step-by-step explanation:
If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.
Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,
Then, the Total number of cans = [tex]17(4)[/tex] = 68.
Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)
This is about the domain and range. PLEASE HELP ME!
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
[tex]F(0)=5-(0)^2[/tex]
[tex]F(0)=5[/tex]
The maximum value of y is 5.
Let x = 50
[tex]F(50)=5-(50)^2[/tex]
[tex]F(50)=5-2500[/tex]
[tex]F(50)=-2495[/tex]
The minimun value of y is [tex]- \infty[/tex] from observation.
The values of x can be a negative number.
[tex]F(-5)=5-(-5)^2[/tex]
[tex]F(-5)=5-25[/tex]
[tex]F(-5)=-20[/tex]
The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].
In the diagram below, AB is parallel to cd what is the value of x?
Answer:
45 degrees
Step-by-step explanation:
corresponding angles have are equal
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing terms and write them in decreasing order of exponents.
Answer:
7m(3m^6 - m^4 + 7)
Step-by-step explanation:
This is a factorization question
All we want to do here is to factor out 7m from each term of the polynomial
This becomes;
21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)
Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?
Answer:
4.29x + 6.99y ≤ 88
Step-by-step explanation:
x represents the number of pounds of chicken he can buy and y represents the number of pounds of ham he can buy. Multiplying the price per pound by the number of pounds he will buy will give you the amount of money he will spend and here he has only $88. Which means the amount of money he will spend should be less than or equal to $88 as shown in the inequality above.
Hope this helps.
PLSSS HELp simplify 3/5-√3 PLS SHOW WORK
[tex]\frac{3}{5-\sqrt{3} }[/tex]
= [tex]\frac{3(5 + \sqrt{3})}{5-\sqrt{3} (5 + \sqrt{3}) }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{5^{2} - \sqrt{3}^{2} }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{25-3 }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{22 }[/tex]
como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme
Find the following information using the given image.
Answer:2.9
3
Step-by-step explanation:
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck? A. 57 feet B. 14 feet C. 49 feet D. 106 feet
Answer:
b
Step-by-step explanation:
Answer:
its not 14 feet
Step-by-step explanation: