Answers
Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
Related Questions
There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answers
Answer:
66%
bcz out of 3 stuff in 100% is 66%
How do I solve part A
Answers
Answer:
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
Step-by-step explanation:
The procedure for solution of exercise A is described below:
1) We expand the expression.
2) The resulting expression is rearranged into the form of a second order polynomial.
3) Roots are found by Quadratic Formula.
Step 1:
[tex]2\cdot x \cdot (x+1.5) = -1[/tex]
[tex]2\cdot (x^{2}+1.5\cdot x) = -1[/tex]
[tex]2\cdot x^{2} + 3\cdot x = -1[/tex]
Step 2:
[tex]2\cdot x^{2}+3\cdot x +1 = 0[/tex]
Step 3:
[tex]x_{1, 2} = \frac{-3\pm \sqrt{3^{2}-4\cdot (2)\cdot (1)}}{2\cdot (2)}[/tex]
[tex]x_{1,2} = -\frac{3}{4}\pm \frac{1}{4}[/tex]
[tex]x_{1,2} = \frac{-3\pm 1}{4}[/tex]
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA
Answers
Answer:
67 degrees
Step-by-step explanation:
We have a right triangle with the following known values:
B = 90
A = 23 (46/2=23 since AD is the angle bisector)
D = ?
180 = 90 + 23 + D and we solve
67 = D
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x
Answers
Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
Emily puts away basketballs after the gym class. there are 15 basketballs, and each rack holds 4 basketballs. how many racks does Emily completely fill? How many basketballs are left?
Answers
4(number of basketballs each rack can hold) multiplied by 3 is equal to 12. Meaning 12 of the 15 basketballs will be able to go on a rack, and there would be 3 left over.(subtract 15-12 and you will get 3)
Answer:
emily fills 3 racks
3 basketballs are Left!
Step-by-step explanation:
15/4 = 3.3
Determine the rule of a quadratic function in factored
form given the following information:
.
the zeros are (-2,0) and (4,0)
it passes through the point (5,14)
.
Answers
Answer:
[tex]y=2(x+2)(x-4)[/tex]
Step-by-step explanation:
Hi there!
Factored form: [tex]y=a(x-r)(x-s)[/tex] where r and s are two zeros
Given that the zeros are (-2,0) and (4,0), we know that -2 and 4 are r and s in the above equation. Plug these in:
[tex]y=a(x-(-2))(x-(4))\\y=a(x+2)(x-4)[/tex]
Now, to solve for a, plug in the given point (5,14) as (x,y):
[tex]14=a(5+2)(5-4)\\14=a(7)(1)\\14=7a\\a=2[/tex]
Therefore, a=2. Plug this back into the original equation:
[tex]y=2(x+2)(x-4)[/tex]
I hope this helps!
i would like if someone helped me with this.
Answers
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
Q = (√x-5)² + (√x+4)-41
Answers
Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
Which applies the power of a power rule properly to simplify this expression?
Answers
Answer:
D.
Step-by-step explanation:
[7^(-8)]^(-4) =
A power raised to a power: multiply the exponents.
= 7^[(-8)*(4)]
= 7^(32)
Answer: D.
Answer:
7^32, the fourth option
Step-by-step explanation:
For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].
The graphs below have the same shape. What is the equation of the blue
graph?
Answers
Answer:
B
Step-by-step explanation:
2 units to the right -> -2 in the brackets next to x
4 units down -> -4 as a constant at the end of the equation
Anyone could please answer this??
Answers
Answer:
Ans no. 1 = 14/15
Ans no. 2= 1/192
(x-3).(x+3)-(x+5).(x-1)
Answers
A program was created to randomly choose customers at a sporting goods store to receive a discount. The program claims 25% of the receipts will get a discount in the long run. The manager of the sporting goods store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 22% received the discount. The confidence interval is 0.22 ± 0.04 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)
Answers
Answer
3.0/5
33
nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
Step-by-step explanation:
Your welcome
TyrantMC
Answer:
Answer
3.0/5
33
nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
what is the x? please answer!
Answers
Answer:
x = 2
Step-by-step explanation:
1. distribute 9 in 9(x+1)
9x + 9 = 25 + x
2. subtract x from the right side to isolate x onto one side
8x + 9 = 25
3. subtract 9 from the left side
8x = 16
4. divide both sides by 8 to get x alone
x = 2
The figure below is a square. Find the length
rational denominator.
side x in simplest radical form with a
Answer: 2
Submit Answer
Plsssss help
Answers
Answer:
x=1/sqrt(2) or sqrt(2)/2
Step-by-step explanation:
Since it's a square, the diagonal is equal to the side*sqrt(2). So 1=x*sqrt(2), x=sqrt(2)/2 or just simply 1/sqrt(2).
The perimeter of a rectangular painting is 320 cm. If the length of the painting is 96 cm, what is its length
Answers
Answer: Width/length = 64 cm
Step-by-step explanation:
Concept:
Here, we need to know the concept of rectangle perimeter.
A perimeter is either a path that encompasses/surrounds/outlines a shape.
P = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
l = 96 cm
P = 320 cm
Given formula
P = 2 (w + l)
Substitute each value into the formula
320 = 2 (w + 96)
Divide both sides by 2
320 / 2 = 2 (w + 96) / 2
160 = w + 96
Subtract 96 on both sides
160 - 96 = w + 96 - 96
w = 64 cm
Hope this helps!! :)
Please let me know if you have any questions
need some help with this
Answers
Answer:
y = 2/3x + 1
Step-by-step explanation:
So, the equation they're looking for is slope and intercept right? I have my own way of doing it, but I'll show it to you too!
For slope: I remember rise/run. What this means is the rise which is how much you go up or down becomes the numerator (number on top of fraction) and the run which is how much you go left or right is the denominator (number on the bottom of the fraction.) What you are looking for to find this is the separation between the dots. If you look at the dot on the y, and the dot that is the closest one when you look at the top right, those are the two we are comparing. We chose those because it's easiest, and the answer choices have no negatives for the slope. Now, from the dot on the y, you have to go up 2, and go to the right 3 to get to the next dot. This makes the fraction 2/3. That's all!
(Not 100%) Intercept: For this, I look for where the dot on the y is. As you can see, it's located +1 above (0,0) That's all!
Hopefully this helps you! :)
What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answers
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.
Jon
Day Minutes
0 15
1 17
2 19
3 21
Kristen
Day Minutes
0 22
1 23
2 24
3 25
Which system of linear equations could be used to determine which day they will jog for the same number of minutes, where d represents the day and m represents the number of minutes?
Answers
Answer:
A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;
m = 2·d + 15
m = d + 22
Step-by-step explanation:
The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;
Jon
[tex]\begin{array}{ccc}Day&&Minutes\\0&&15\\1&&17\\2&&19\\3&&21\end{array}[/tex]
Kristen
[tex]\begin{array}{ccc}Day&&Minutes\\0&&22\\1&&23\\2&&24\\3&&25\end{array}[/tex]
The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2
Therefore, the equation representing Jon's data is given as follows;
m - 15 = 2·d
m = 2·d + 15
The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1
Therefore, the equation representing Kristen's data is given as follows;
m - 22 = d
∴ m = d + 22
The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;
m = 2·d + 15
m = d + 22
The answer is in the picture below!
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
Answers
Answer:
Number of batches of soup = 8 2/3 batches
Step-by-step explanation:
Each batch of soup = 3/4 pounds of potatoes
Total pounds of potatoes available = 6 1/2 pounds
How many batches of soup did Monique make?
Number of batches of soup = Total pounds of potatoes available / Each batch of soup
= 6 1/2 pounds ÷ 3/4 pounds
= 13/2 ÷ 3/4
= 13/2 × 4/3
= (13 * 4) / (2 * 3)
= 52/6
= 8 4/6
= 8 2/3
Number of batches of soup = 8 2/3 batches
Answer:
B 13/2 divided by 3/4
E 13/2 (4/3)
[tex]\frac{3^4}{3^2}[/tex]
Simplify.
Answers
Answer:
[tex]9[/tex]
Step-by-step explanation:
Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].
Therefore, simplify:
[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP DUE TODAY
Answers
Answer:
is it your homework?
Step-by-step explanation:
Can someone explain this / answer it? 18 POINTS + Brainliest
Answers
Answer:
I believe it is because he has exhausted all the different ways to use the 18 m he has. Look below.
Step-by-step explanation:
He has 18 m of wood and he has done:
8+8=16 1+1=2 16+2=18
7+7=14 2+2=4 14+4=18
6+6=12 3+3=6 12+6=18
5+5=10 4+4=8 10+8=18
So he has no more ways to use the 18 m of wood and has exhauseted all the ways.
Please mark brainliest
in the triangle below which of the following best describes dh
Answers
Can anyone help me with this answer?
Answers
Answer: B. 1.5 × 10⁻¹⁸
Step-by-step explanation:
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
When converting scientific notation to an integer:
If the exponent is negative, move the decimal to the left with the same amount of units as the exponents. For example: If converting 5 × 10⁻³, since the exponent is -3, we move the decimal to the left 3 unitsIf the exponent is positive, move the decimal to the right with the same amount of units as the exponentsFor example: If converting 2 × 10⁴, since the exponent is 4, we move the decimal to the right 4 unitsWhen converting an integer to scientific notation:
If the number is ≥1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is positive.For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²If the number is <1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is negative.For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³Given:
Mass of one water molecule = 3.0 × 10⁻²³
Total number of molecules (required by the question) = 50,000
Solve:
Formula
Total mass = Mass of one water molecule × Total number of molecules
Substitute the values into the formula
Total mass = 3.0 × 10⁻²³ × 50,000
Convert 50,000 into scientific notation
Total mass = 3.0 × 10⁻²³ × 5 × 10⁴
Multiply numbers together/ Multiply exponents together
Total mass = 15 × 10⁻¹⁹ = 1.5 × 10⁻¹⁸
Hope this helps!! :)
Please let me know if you have any questions
In Reba's toy bin there are 15 red blocks. There are 16 more yellow blocks than red blocks. There are also 13 more blue blocks than red blocks. How many blocks are there in all?
Answers
Answer:
74
Step-by-step explanation:
16 more than 15 equals 31
13 more than 15 = 28
15 + 31 + 28 = 74
what is the answer to 8= −6+x
Answers
Answer:
x = 14
Step-by-step explanation:
add 6 to both sides:
8+6 = 6-6+x
14 = x
x = 14
The sum of a number and 2 is 6 less than twice that number
Answers
Step-by-step explanation:
The first thing we have to do before we can actually do the problem is turn the words into a math equation.
If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.
So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or
x = 8
Answer:
y = 8
Step-by-step explanation:
number = y
y + 2 = 2y - 6
y + 2 - 2 = 2y - 6 - 2
y = 2y - 8
y - 2y = 2y - 2y - 8
- y = - 8
- y × - 1 = - 8 × - 1
y = 8
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answers
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answers
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
