Answer:
[tex](D)x^{3/4}y^{1/2}[/tex]
Step-by-step explanation:
We are required to simplify the expression: [tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})[/tex]
This is a product and the first thing we will do is to collect like terms:
[tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})=x^{1/2}x^{1/4}y^{1/3}y^{1/6}[/tex]
Next, we apply the addition law of indices: [tex]x^a X x^b =x^{a+b}[/tex]
[tex]x^{1/2}x^{1/4}y^{1/3}y^{1/6}=x^{1/2+1/4}y^{1/3+1/6}\\\\=x^{3/4}y^{1/2}[/tex]
Therefore, [tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})=x^{3/4}y^{1/2}[/tex]
These box plots show daily low temperatures for a sample of days in two
different towns. Which statement is the most appropriate comparison of the spreads?
Given:
The box plots show daily low temperatures for a sample of days in two different towns.
We need to determine the most appropriate comparison of the spreads.
Interquartile range of town A:
The interquartile range can be determined by subtracting the end values of the boxes.
Thus, we have;
Interquartile range = 40 - 20
Interquartile range = 20
Thus, the interquartile range for town A is 20.
Interquartile range for town B:
The interquartile range for town B is given by
Interquartile range = 45 - 35
Interquartile range = 10
Thus, the interquartile range for town B is 10.
Hence, the interquartile range (IQR) for town A, 20° is greater than the IQR for town B, 10°
Hence, Option A is the correct answer.
Can anyone help me find answers to these pages? There are 10 pages of this but I can't link them all.
Answer:
First page:
Calculate the surface area of shapes using two-dimensional nets.
Calculate the surface area of prisms by adding up the sides of each face.
(For the table use your glossary)
Second page:
1.) 6
2.) 7
3.)51
R is inversely proportional to A.
R = 12 when A = 1.5
a) Work out the value of Rwhen A= 5.
b) Work out the value of A when R = 9
Here are the answer: a) R = 3.6 and b) A = 2
Step-by-step explanation:
Given,
R is inversely proportional to A.
R ∝ [tex]\frac{1}{A}[/tex]
so, R = [tex]\frac{k}{A}[/tex] -------eq 1 where k is any constant
To find the values of a) R when A = 5 and
b) Value of A when R = 9
Now,
Putting R = 12 and A = 1.5 in eq 1 we get,
12 = [tex]\frac{k}{1.5}[/tex]
or, k = 12×1.5 = 18
From eq 1 we get,
R = [tex]\frac{18}{A}[/tex] --------- eq 2
Now,
a) Putting A= 5 in eq 2 we get,
R = [tex]\frac{18}{5}[/tex] = 3.6
b) Putting R = 9 in eq 2 we get
R = [tex]\frac{18}{A}[/tex]
or, A = [tex]\frac{18}{9}[/tex] = 2
Answer:
a.3.6
b. 2
Step-by-step explanation:
R is inversely proportional to A
Which means R=k/A
Cross multiply
k=RA
Since R=12
A=1.5
So k=12×1.5
=18
a. We are to determine the value for R
So R=k/A
=18/5
=3.6
b.we are to determine the value for A
So R=k/A
A=k/R
=18/9
=2
Write the first 5 terms of the
sequence an = 3n – 4
Answer:
- 1, 2, 5, 8, 11
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 5 into the n th term formula
a₁ = 3(1) - 4 = 3 - 4 = - 1
a₂ = 3(2) - 4 = 6 - 4 = 2
a₃ = 3(3) - 4 = 9 - 4 = 5
a₄ = 3(4) - 4 = 12 - 4 = 8
a₅ = 3(5) - 4 = 15 - 4 = 11
The first 5 terms are - 1, 2, 5, 8, 11
Final answer:
The first 5 terms of the sequence an = 3n - 4 are -1, 2, 5, 8, and 11. Each term is found by substituting the nth term number into the expression and calculating its value.
Explanation:
The student has asked to write the first 5 terms of the sequence an = 3n - 4. To find the terms of this sequence, we simply substitute the values of n (starting from 1 and going up by 1 each time) into the expression and calculate the results.
For n = 1: a1 = 3(1) - 4 = 3 - 4 = -1For n = 2: a2 = 3(2) - 4 = 6 - 4 = 2For n = 3: a3 = 3(3) - 4 = 9 - 4 = 5For n = 4: a4 = 3(4) - 4 = 12 - 4 = 8For n = 5: a5 = 3(5) - 4 = 15 - 4 = 11Therefore, the first 5 terms of the sequence are -1, 2, 5, 8, 11.
Which answer choices list possible types of angles for this triangle?
Select two that apply.
Answer: the first and third one possibly but the first one for sure for sure
answer to -18x-17=-53
Hello :)
-18x - 17 = -53
-18x = -53 + 17
-18x = -36
-x = -2
x = 2
Answer = 2
Zeynoom Kopuyooz :d
-MERVE-
Answer:
Step-by-step explanation:
- 18x - 17 = - 53
- 18x =- 53 + 17
- 18x = - 36
Minus sign will be canceled
18x = 36
x = 36 / 18
x = 2
Sharon drinks 2/3 of 1/2 of lemonade. How much lemonade did Sharon drink?
Answer: The answer is 1/3 because you simplify your answer, and the answer is 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
According to the question
Sharon drinks 2/3 of 1/2 of lemonade
So let's solve
To determine the amount Sharon's drinks
2/3 of 1/2
2/3×1/2
2/6
1/3
Therefore the final answer is 1/3
260 years equals:
O
A. 2 centuries, o decades
O
B. 26 centuries, o decades
O
c. 26 centuries, 60 decades
OD. 2 centuries, 6 decades
O
E. 2 centuries, 60 decades
Question 6
In a box of 11 parts, 4 of the parts are defective. Two parts are selected at random without replacement.
Find the probability that both parts are defective.
The probability that both parts are defective is 6/55
Step-by-step explanation:
Defective parts = 4
Total parts = 11
Probability of getting a defective part = 4/11
Probability of getting defective part 2nd time = 3/10
Total probability of getting defective part both the times = (4/11) (3/10)
= (12/110)
= (6/55)
The probability that both parts are defective is 6/55
Which answer gives statements that should be used to prove angles 4 and 6
are congruent?
Answer:
b is the answer
Step-by-step explanation:
since the vertical angles are in the same degrees
4 and 2 are vertical,
2 and 6 are in the same degrees
which means 4 and 6 are congruent.
:D
If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours.
x f(x)
1 3,000
2 9,000
3 27,000
4 _[blank]_
Answer:
81,000
Step-by-step explanation:
1 1,000x3= 3,000
2 3,000x3= 9,000
3 9,000x3= 27,000
4 27,000x3= 81,000
The number of bacteria on your phone after 4 hours is 81,000.
Explanation:To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.
Calculating this, we get f(4) = 1,000 * 81 = 81,000.
A line has a slope of One-fourth and passes through point (0.4, negative one-half). What is the value of the y-intercept?
Answer:
-0.6
Step-by-step explanation:
The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t use a calculator to find the amount of carbon-14 remaining after 4 years
Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.
Step-by-step explanation:
Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.
c= 100 (0.99988)^t
c =100 (0.99988)^4
c = 100 x 0.999520086
c= 99.95200864 ≅99.95 grams (rounded)
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Feel free to ask for more if needed or if you did not understand something.
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Given that,
The amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
[tex]\rm c = 100(0.99988)^t[/tex]
We have to determine,
The amount of carbon-14 remaining after 4 years.
According to the question,
Equation; [tex]\rm c = 100(0.99988)^t[/tex]
Where the amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
To determine the amount of carbon-14 remaining after 4 years following all the steps given below.
Then,
The amount of carbon-14 remaining after 4 years is,
[tex]\rm c = 100(0.99988)^t\\\\\rm c = 100(0.99988)^4\\\\ c = 100 \times 0.999520086\\\\c = 99.95 \ gram[/tex]
Hence, The amount of carbon-14 remaining after 4 years is 99.95 grams.
For more details refer to the link given below.
https://brainly.com/question/5898472
What is the sum 2 2/3 + 1 1/2?
Answer:
4 1/6, 25/6, 4.167
Step-by-step explanation:
I'm dumb
Answer:
ok i will give the decimal and the fraction
deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6
Step-by-step explanation:
hopefully my answer helps
5x(f-32)divided by 9 for f = 95
Answer:
35x
Step-by-step explanation:
[tex]5x(f - 32) \div 9 \\ \\ = \frac{5x(f - 32)}{9} \\ \\ = \frac{5x(95- 32)}{9} \\ \\ = \frac{5x \times 63}{9} \\ \\ = 5x \times 7 \\ \\ = 35x[/tex]
"h varies directly as u". If h = 8 when u = 40, find u when h = 25.
Answer:
125
Step-by-step explanation:
h=8
u=40
so k=5
hk-u
5*25=125
Answer: u = 25
Step-by-step explanation:
A rectangle has an area of 80cm squared and a perimeter of 48cm find the length and width of the rectangle
2 possible solutions.
When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Perimeter of the rectangle = 48 cm. Find expression for length.Perimeter of the rectangle = 2(length + width)
48 = 2(length + x)
24 = length + x
⇒ Length = 24 - x
Step 2: Find the dimensions if area = 80 cmArea of the rectangle = length × width
80 = x (24 - x)
80 = 24x - x²
x² - 24x + 80 = 0
x² - 20x - 4x + 80 = 0
x(x - 20) - 4(x - 20) = 0
(x - 4)(x - 20) = 0
⇒ x = 4, 20
24 - x = 20, 4
So there are two possible answers.
When width is 4 cm, length is 20 cm
When width is 20 cm, length is 4 cm
Where does
√17
belong on the Venn diagram?
A) Integers
B) Natural Numbers
C) Rational Numbers
D) Irrational Numbers
REALLY NEED HELP I HAVE 8 MORE QUESTIONS PLS HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND 10 POINTS
Find the mode for the image below
Answer:
7
Step-by-step explanation:
Mode is the number that repeats the most
7 is repeating the most
The mode for the given bar image shown is: 7
How to find the mode of the dataset?In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.
From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.
Read more about Dataset Mode at: https://brainly.com/question/27358262
#SPJ3
Linda is making a line plot of the data below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12
What are the least and greatest values in the data set?
O A.11.25, 14.125
O B.10.5, 11.25
O C.10.5, 14.125
O D. 10.5,12
HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!! A.P.S A.P.S A.P.S A.P.S
Answer:
Least: 10.5
Greatest: 14.125
Hope that helps!
Step-by-step explanation:
Answer: A
I hope this is correct
Expand the following:
a) x(x + 5)
b) x(3x – 1)
c) 2x(2x + 3)
d) 5x(x – 3y)
Answer:
[tex] {x}^{2} + 5x[/tex]
[tex] {3x}^{2} - x[/tex]
[tex] {4x}^{2} + 6x[/tex]
[tex] {5x}^{2} - 15xy[/tex]
PLEASE HELP
A scuba instructor charges a $150 equipment fee, plus $65 per hour for classes. Write an expression to represent the total cost, C, of lessons as a function of the numefer of hours, h, of the lesson.
Answer: (consider leaving a thanks)
Since the equation representing the total cost is C, we would write:
C = (rest of equation will go here)
Then, since the price goes up with the number of hours (h) by 65$ each hour, we would write it as (65h)
C = 65h (Final part!)
Finally, since 150$ is added on, and isn't connected to the number of hours we would write the equation like this:
C = 65h + 150
What does it mean when is says write a sequence hat plots the ordered pair if you start at the origin when you are plotting ??
What is the volume?
9 m
19 m
7 m
Answer:1197m³
Step-by-step explanation:
Answer:
Volume of a triangular irregular prism=1300.16m^3 = 1300m^2
Volume of a rectangular prism two answers = 1197m^3 or 1233m^3
Step-by-step explanation:
With rectangular prism two answers we need the rectangle surface area first
A = 9 m x 19 m = 171m
or A = 7 m x 19m
The rectangle prism could be 1197m^3 or 1233m^3
depending how big the rectangle is as we calculate that first then multiply by depth. If we had the direction of measurement of the base we would just get one answer and not two.
Rectangular prism A = 171sq
V = 1197m^3 = (171sq x 7)
or V= 1233m^3 = 137sq x 9
If the prism is a irregular prism we add the surface area's
V = (a+b+c)B/3
V = (7x19)(9x7) (9x19) x B = 133 + 63 + 197 x 197 = 3900.5/3 =1300.16
The sum of the measures of the interior angles of a convex polygon is 360 degrees? How many sides does the polygon have?
Answer: the polygon has
Four sides
Step-by-step explanation:
A square has 4 interior angles of 90° each. 4×90°=360°
Anyone can help me with this?
What is the image of (5,-8)(5,−8) after a reflection over the x-axis?
Answer:
(5,8)
Step-by-step explanation:
(x,y) --> (x,-y)
The image of the point (5, -8) after a reflection over the x-axis is (5, 8).
When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).
Here's the step-by-step process:
Keep the x-coordinate the same (x remains 5).
Change the sign of the y-coordinate (-y becomes 8).
Combine the new coordinates to get the reflected point (5, 8).
Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).
Use elimination to solve the system of equation
4x+y=-2
3x+2y=6
Point form:
(-2,6)
Equation form:
x=-2, y=6
Consider the equation a-3 = (1/a)^5
What value(s) of a make the equation true?
Answer:
No solutions
Step-by-step explanation:
Equations are represented with the "=" sign. It means the expressions on either side are equal. The equation has no solution for a
Given that:
[tex]a^{-3} = (\frac{1}{a})^5[/tex] --- the correct equation
First, we apply the power rule of indices
[tex]a^{-3} = (a^{-1})^5[/tex]
Open the bracket
[tex]a^{-3} = a^{-1 \times 5}[/tex]
[tex]a^{-3} = a^{-5}[/tex]
Cancel out (a) on both sides
[tex]{-3} ={-5}[/tex]
The above solution is not true because
[tex]{-3} \ne {-5}[/tex]
Hence, the equation has no solution for a
Read more about equations at:
https://brainly.com/question/10838664
Which expressions are equivalent to 5(-2k-3)+2k
Choose all answers that apply:
(Choice A)
A
(-5*3)-8k
(Choice B)
B
-15
(Choice C)
C
None of the above
Answer:
A would be the correct one
Step-by-step explanation:
Answer: the correct answer is A
Step-by-step explanation: