What is the following quotient?
StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot EndFraction
2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
Answer:
A.[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Step-by-step explanation:
We are given that
[tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
We have to find the quotient.
[tex]\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
[tex]\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})[/tex]
[tex]2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})[/tex]
Using the property
[tex](ab)^n=a^n\cdot b^n[/tex]
[tex]2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})[/tex]
Using the property
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
[tex]2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Hence, the quotient of [tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex] is given by
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Option A is correct.
Answer:
A
Step-by-step explanation:
Please help will be marked as brainliest if correct
Answer:
[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
What is the result if -8ײ +24× divided by -4×
Answer:
2x-6
Step-by-step explanation:
( -8ײ +24×) ÷ (-4×) =
2x-6
Need help with this!!!!
Answer:
Cuatro es la respuesta también conocida como d
Answer:
Step-by-step explanation:
A) x = -2
B) y =2
C) y= -2
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
[tex]y=a(x-h)^2+k[/tex] so that means that [tex]a=\frac{1}{8}[/tex]. We can use that to solve for p in the formula
[tex]p=\frac{1}{4a}[/tex] so
[tex]p=\frac{1}{4(\frac{1}{8}) }[/tex] which simplifies to
[tex]p=\frac{1}{\frac{1}{2} }[/tex] which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
What is the value of the natural logarithm when x=0.5 is rounded to the nearest hundredth?
A.1.61
B.-0.30
C.-0.69
D.0.70
Line l has a slope of the line through which of the following pair of points is perpendicular to l?
A. (21,-4), (-5,7)
B.(-7, -5),(4,7)
c. (7-7), (-5,4)
D.(-2,-5), (4,7)
Please help! Pleaseeeeeee
Answer:
The answer is D
Step-by-step explanation:
-x is n
Y=0
Answer:
D
Step-by-step explanation:
Basically....... graph shown in picture
write P(x)=6x³+3x²-24x-12 as a product of (2x+1)and a quadratic formula.
pls help
Answer:
3(2x+1)( [tex]x }[/tex]-2)(x+2)
Step-by-step explanation:
3(2x+1)( [tex]x }[/tex]-2)(x+2)
3(2x+1)( [tex]x^{2}[/tex]-4)
(2x+1)(3[tex]x^{2}[/tex]-12)
What is the distance between the bank and Hiroto's house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Answer:
The distance is 12 miles
Step-by-step explanation:
Given
See attachment for grid
Required
The distance
From the attached:
[tex]B = (-8,6)[/tex] --- Bank
[tex]H = (4,6)[/tex] --- Hiroto's house
Using distance formula, we have:
[tex]d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(-8- 4)^2 + (6 - 6)^2}[/tex]
[tex]d = \sqrt{(-12)^2}[/tex]
[tex]d = \sqrt{144}[/tex]
[tex]d = 12[/tex]
Helpppppp:((((((this is due tomorrow and I still didn’t turn it in. Pls help if you can and take ur time but pls don’t take too long, thx! have a good day :] ♡ (number 1,2,3,4,5,6,7 and 8)
4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9
Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
Question 10 Multiple Choice Worth 1 points)
(01.06 MC)
James fenced in his backyard. The perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. Use the perimeter formula to find the length of his rectangular yard
in inches: P2L+2W.
Answer:
Length = 8 feet
Step-by-step explanation:
Perimeter = 2 x ( length + width )
20 = 2 x (length + 2)
10 = Length + 2
10 - 2 = Length
Therefore, Length = 8 feet
If ∠3 = 46°, then ∠6 =
look at image
Answer:
∠ 6 = 46°
Step-by-step explanation:
∠ 3 and ∠ 6 are alternate angles and are congruent , then
∠ 6 = ∠ 3 = 46°
Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 and one-half years?
$2,500
$9,159
$22,827
$23,791
Answer:
Step-by-step explanation:
The equation actually looks like this
[tex]V=P(1-r)^t[/tex] and filling in the info given:
[tex]V=25,000(1-.2)^{4.5[/tex] which simplifies to
[tex]V=25,000(.8)^{4.5[/tex]
Orders of operation tells us that we need to take care of the exponential stuff first, so
V = 25,000(.3663573) and
V = $9158.93 which rounds to what is shown as the second choice down: $9,159.
Answer:
B
Step-by-step explanation:
$9159
The product of two rational numbers is 2/5 , if one of them is -8/25, find the other.
With steps explained.
Answer:
x=-5/4
Step-by-step explanation:
Let the number be x and y
x.y=2/5 (The product of two rational numbers is 2/5)
if one of the number is -8/25
x.(-8/25)=2/5
(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x
x=(2/5) *(-25/8)
x=-5/4
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Product of two rational numbers = [tex]\frac{2}{5} [/tex]
One of the number = [tex]\frac{-8}{25} [/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The other number is [tex]\frac{ - 5}{4} [/tex].
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let the other number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]
[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]
[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]
[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]
[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]
[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
Elsa, miguel and scott sent a total of 133 text messages over their cell phones during the weekend. Scott sent 8 fewer messages than elsa. Miguel sent 3 times as many messages as scott. How many messages did they each send?
Answer:
Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
22.18 = x
Step-by-step explanation:
a^2 + (b)^2 = (x/2)^2
a = sqrt(74)
b = 7
x/2 = ?
(74)[^1/2]^2 = 74
b^2 = 7^2 = 49
74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2
123 = (x/2)^2 Combine like terms
(123^0.5) = x/2 Take the square root of both sides.
11.09 = x/2 Multiply both sides by 2
11.09*2 = x
22.18 = x The full length of the base of the triangle is 22.18
Answer: C
Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).
The length of a rectangle is twice its width. If the area of the rectangle is
32cm2, find the perimeter.
Before we find the perimeter, first we must know length and width.
Let width = x
The question says that the length of a rectangle is twice its width. Therefore the length is 2×x or two times of width which equal to 2x.
The area of rectangle is given as 32 cm^2.
Do you remember the rectangle area formula? If not then it is:
[tex] \large \boxed{ \tt{A = width \times length}}[/tex]
Since A is area - substitute A = 32 in. As for width, we substitute in x and length in 2x.
[tex] \large{32 = x \times 2x}[/tex]
Since x multiplies by another x. It becomes x squared.
[tex] \large{32 = 2{x}^{2} }[/tex]
Next, we divide 2 by both sides since we want to solve for x.
[tex] \large{ \frac{32}{2} = {x}^{2} }[/tex]
Simplify 32/2 in simplest form.
[tex] \large{16 = {x}^{2} }[/tex]
Square both sides so we can get rid the x squared, leaving only x.
[tex] \large{ \sqrt{16} = \sqrt{ {x}^{2} } }[/tex]
Normally, when solving quadratic equation, you must write plus or minus. However, for this circumstance - we are solving a variable for length and width which cannot be negative. Therefore
[tex] \large{4 = x}[/tex]
After we solve for x. Substitute x = 4 in width = x and length = 2x.
[tex] \large{ \tt{width = x = 4}} \\ \large{ \tt{length = 2x = 2(4) = 8}}[/tex]
When we multiply these two numbers, we get 32 cm^2.
Next, we find the perimeter. The formula of perimeter for rectangle is:
[tex] \large \boxed{ \tt{P = (width + length) \times 2}}[/tex]
We know width and length which are 4 and 8 in order. Substitute in the formula.
[tex] \large{P = (4 + 8) \times 2} \\ \large{P = 12 \times 2} \\ \large \boxed{P = 24}[/tex]
Hence, the perimeter is 24.
Answer
The perimeter for the rectangle is 24.after you list the factors, you have to read the question back .. the question the length of the rectangle is twice the width .. so 4 × 8 is the correct answer .. and you do as usual to calculate the perimeter ..
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
What is the rate of change of the function?
Answer:
3
Step-by-step explanation:
the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.
Hope this helps
How many terms are in this expression 4+3c
Answer: there are 2 terms
Step-by-step explanation: A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. ... Examples of single terms: 3x is a single term.
2 terms
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
A researcher asks participants to rate the tastes of three different cola drinks. The size, shape, and color of the drink cups are the same for each drink. In this study, the independent variable is __________, the dependent variable is __________, and an extraneous variable is __________. Group of answer choices drink cups, taste rating of cola drink, type of cola drink type of cola drink, drink cups, taste rating of cola drink type of cola drink, taste rating of the cola drink, drink cups drink cups, type of cola drink, taste rating of cola drink
Answer:
Independent variable - type of cola drink
dependent variable - taste rating of cola drink
extraneous variable - type of cola drink
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The extraneous variable is the variable that is not been researched in the experiment but it has the potential to influence the results of the experiment.
The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.
the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good
An element with mass 310 grams decays by 5.7% per minute. How much of the
element is remaining after 9 minutes, to the nearest 10th of a gram?
Answer:
100
Step-by-step explanation:
Answer:
182.8
Step-by-step explanation:
Chris had 3/4 of a jug of milk left. He used 2/5 of it to bake a cake how much of the jug of milk did he use in his cake
Answer:
5 pints of milk
Step-by-step explanation:
took the test
How are the x-coordinate and the y-coordinate in an
ordered pair related to the origin? I’LL MARK BRAINLIEST!!
Answer:
The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
Step-by-step explanation:
I believe this is correct, if not let me know and I will fix it. I'm sorry in advance if it is incorrect.
Can someone help me? It's urgent and thank you!
Answer:
1
------
3(x-2)
Step-by-step explanation:
x+3 4x
------ * --------------
12x x^2 +x -6
Factor
x+3 4x
------ * --------------
3*4x (x+3)(x-2)
Cancel like terms
1 1
------ * --------------
3 (1)(x-2)
1
------
3(x-2)
Answer my question pleaSE, I will give you brainlest!
Answer: 30
Step-by-step explanation: So clearly we want 45 to be divided into x and 2x. Because the sum of the two parts is 45, so x + 2x = 45 which gives us the value of x = 15.
So the boy has 15 while the girl has 30
I need help with this problem, please give a step by step explanation, will award brainliest
Answer:
ok so if they are congreant that mean the
x=38
Answer:
38
Step-by-step explanation:
Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°
Name the bottom angle C.
X + C = 180 (linear pair)
38 + C = 180 (linear pair)
X + C = 38 + C Subtract C from both sides
X = 38