Answer:
3/8
Step-by-step explanation:
another way of writing 1/2 is 4/8, so now it should be easy. if you have 7/8 and sell 4/8 that leaves 3/8
Answer: 3/8
Step-by-step explanation:
Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0 has multiplicity −2 has multiplicity −4 has multiplicity 5 has multiplicity
Answer:
0 has multiplicity 1
-2 has multiplicity 3
-4 has multiplicity 2
5 has multiplicity 4
Step-by-step explanation:
The multiplicity of the root of a polynomial function, refers to the number of time the root repeats itself.
The given function is
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
To find the roots of this function, we equate the function to zero.
[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]
We now use the zero product principle, to obtain;
[tex]x=0[/tex], with multiplicity 1
[tex](x+2)^3=0[/tex]
[tex]\Rightarrow x=-2[/tex], with multiplicity 3
[tex](x+4)^2=0[/tex]
[tex]\Rightarrow x=-4[/tex], with multiplicity 2
[tex](x-5)^4=0[/tex]
[tex]\Rightarrow x=5[/tex], with multiplicity 5.
Answer:
The roots of the function;
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
0 has multiplicity 1.-2 has multiplicity 3.-4 has multiplicity 2.5 has multiplicity 4.Step-by-step explanation:
Given information:
The function;
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
As, we know that multiplicity of any function is defined as the number of times the roots repeats in the solution.
Hence, we need to find the roots of the function
So, equating the function to [tex]0[/tex]
[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]
As, [tex]x=0[/tex] , is having multiplicity [tex]1[/tex].
[tex](x+2)^3=0\\x=-2[/tex]
Having a multiplicity 3.
Now,
[tex](x+4)^2=0\\x=-4[/tex]
Having a multiplicity 2.
And,
[tex](x-5)^4=0\\x=5[/tex]
Having multiplicity 4.
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10............................
No, they do not represent the same quantity. Explained in attached sheet.
Please help
ASP PLEASE FOR 10 points!!✨
Part A: You can add the time in hours to find the total. 1/3 + 3/4 + 4/6 + 1/2 = 2 1/4 hours which can also be expressed as 2 hours and 15 minutes (1/4 of an hour is 15 minutes.)
Part B: It takes him 3/4 hr to do homework, 4/6 hr to play soccer, and 1/2 hr to play piano. 3/4 + 4/6 + 1/2 = 1 11/12 hrs or 1 hour and 55 minutes (11/12 of an hour is 55 minutes.) Therefore Kevin is wrong.
What is the probability of spinning a B?
Answer:
3/8 or 37.5%
Step-by-step explanation:
There are a total of 8 possible outcomes. B appears only 3 times in those 8 outcomes. Therefore, the chances of landing on B is 3 out of 8 or 3/8.
The probability of B in percent is 37.5 %.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Total outcomes = {A, A, B, B, B, C, C, C}
n(S) = 8
Now, possibility of B = {B, B, B}
n(B) = 3
Probability of B = Favorable outcomes/ total outcomes
= n(B) / n(S)
= 3/8
= 0.375
= 37.5 %
Thus, the probability of B in percent is 37.5 %.
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what is the degree angle of sircle
Answer: there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees.
Step-by-step explanation:
There are 360 degrees in a circle
What is the answer to this problem
the answer is negative 168
Answer:
Step-by-step explanation:
A baker is making bread. The recipe uses2/3 cup of walnuts for each bread recipe. The baker has 7 1/2 cups of walnuts. What's the number of full recipes of walnuts bread the baker can make?
Answer:
You can make 11 recipes with 7 1/2 cups of walnuts
Answer:
Step-by-step explanation:
11 1/4 but it says the number of full recipes so it would be 11
There are 4 cups in 1quart.If you want to convert quarts to cups,should you multiply or divide by 4
you would multiply by 4 because if there are 4 cups in a quart then u have 1 quart or 4 cups . thats the only explanation even possible for this problem
If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?
ANSWER
0
EXPLANATION
Given :
[tex] \frac{2a + 2}{a} = 4[/tex]
We solve for 'a' to obtain,
[tex]2a + 2 = 4a[/tex]
This implies that,
[tex]2 = 4a - 2a[/tex]
[tex]2 = 2a[/tex]
This implies that,
[tex]a = 1[/tex]
We substitute a=1 into
[tex] \frac{ 2{a}^{2} - 2}{ {a}^{2} } [/tex]
This gives us,
[tex]\frac{ 2{(1)}^{2} - 2}{ {(1)}^{2} } = \frac{2 - 2}{2} = \frac{0}{2} = 0[/tex]
I need help plz show steps
The "-4" tacked onto the 2x^2 term will move the entire parabola down 4 units. This is because y = 2x^2 becomes y-4 = 2x^2-4
The y-4 means we move every y coordinate down 4 spots. The x coordinate stays the same.
A give line has the equation 10x+2y=-2. What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? Y=(________)x + 12
first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.
[tex]\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12[/tex]
Please help solve this problem
Answer: OPTION C
Step-by-step explanation:
By definition you know that:
[tex]\sqrt[n]{a^n}=a[/tex]
and by the exponents properties you also know that:
[tex]a^n*a^m=a^{(n+m)}[/tex]
Now, descompose 18 into its prime factors:
18=2*3*3=2*3²
Rewrite the expression and simplify (Keep on mind that: [tex]\sqrt{x^4}=x^{(\frac{4}{2})}=x^{2}[/tex]). Then, you obtain:
[tex]\sqrt{2*3^2*x^4*y*y^2}=3x^2y\sqrt{2y}[/tex]
Answer:
C. [tex]3x^2y\sqrt{2y}[/tex].
Step-by-step explanation:
The given radical expression is [tex]\sqrt{18x^4y^3}[/tex].
We can rewrite this radical expression to obtain;
[tex]\sqrt{2\times9 \times (x^2)^2\times y^2\times y}[/tex].
This will give us;
[tex]\sqrt{2y} \times \sqrt{9(x^2)^2 y^2}[/tex].
[tex]3x^2y\sqrt{2y}[/tex].
The correct choice is C
neal uses 1 1/4 gallons of water and 8 cups of apple cider in a recipie how many combined gallons of water and apple cider does neal use in the recipe show work
Answer: 1 3/4 gallons
Step-by-step explanation: In order to determine the total number of gallons in the recipe you need to convert 8 cups to gallons. There are 16 cups in 1 gallon. In order to determine how many gallons 8 cups is you need to divide 8/16 = 1/2 gallon.
The total number of gallons is 1 1/4 + 1/2.
1 1/4 + 1/2 = 1 3/4 gallons.
2 7/8 plus 3 2/8 plus 1 1/8
Answer:
7.25
Step-by-step explanation:
2 7/8 + 3 2/8 * 1 1/8 = 7.25
Answer:
7 1/4
Step-by-step explanation:
exact form is 29/4 but if you wanted to simplify it the mixed number form is 7 1/4
What is the factored form of the following expression?
x^2 - x - 42
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Consider the factors of the constant term ( - 42) which sum to give the coefficient of the x- term ( - 1)
The factors are - 7 and + 6, since
- 7 × 6 = - 42 and - 7 + 6 = - 1
x² - x - 42 = (x - 7)(x + 6)
Answer:
Factor x²−x−42 using the AC method.
(x+6)(x-7)Step-by-step explanation:
What is the factored form of the following expression?
x^2 - x - 42
STEPS:
x²-x-42
Break the expression into groups:
=(x²+6x)+(-7x-42)
Factor out x from x²+6x: x(x+6)
Factor out -7 from -7-42: -7(x+6)
=x(x+6)-7(x+6)
Factor out common term x+6
ANSWER=(x+6)(x-7)
For what value of x does 3^4x=27^x-3?
x=4.80989686
by simplifying both sides of the equation, then isolating the variable.
Answer:
x= - 9
Step-by-step explanation:
This problem bothers on the law of indices
Given the expression
3^4x=27^x-3
We can also simplify it using the law
3^4x= 3^3(x-3)
Equating the powers we have
4x= 3(x-3)
Opening bracket
4x= 3x-9
Collecting like terms we have
4x-3x=-9
x=-9
Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.
g=-4x/3, solve for x
Answer:
-3/4 g =x
Step-by-step explanation:
g=-4x/3
Multiply each side by 3
3g = -4/3 x *3
3g = -4x
Divide each side by -4
3/-4 g = -4x/-4
-3/4 g =x
what is the slope of the line (1,6) and (-5, -7)
[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-6}{-5-1}\implies \cfrac{-13}{-6}\implies \cfrac{13}{6}[/tex]
The slope of the line is [tex]\frac{13}{6}[/tex].
What is the slope of line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
What is slope formula?If [tex]P(x_{1} ,y_{1} )[/tex] and [tex]Q(x_{2} ,y_{2} )[/tex] are the two points on a straight line, then the slope formula is given by:
Slope, m = Change in y-coordinates/Change in x-coordinates
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the given question.
We have a two points (1, 6) and (-5,-7).
Therefore, the slope of the line from these points is given by
[tex]slope = \frac{-7-6}{-5-1} = \frac{-13}{-6} =\frac{13}{6}[/tex]
Hence, the slope of the line is [tex]\frac{13}{6}[/tex].
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A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are doubled, what happens to the surface area
Original measurements:
L = 4; W = 6; H = 7
surface area = 2(LW + LH + HW)
surface area = 2(4 * 6 + 4 * 7 + 6 * 7)
surface area = 2(24 + 28 + 42)
surface area = 2(94)
surface area = 188
Doubled measurements:
L = 8; W = 12; H = 14
surface area = 2(LW + LH + HW)
surface area = 2(8 * 12 + 8 * 14 + 12 * 14)
surface area = 2(96 + 112 + 168)
surface area = 2(376)
surface area = 752
The surface area was 188 square inches and it became 752 square inches.
752/188 = 4
As the side lengths increased by a factor of 2, the surface area increased by a factor of 4.
Bred has to paint a wall with 8 horizontal stripes. He has enough paint only for 5 blue, 5 red and 5 white stripes. If he can use at most 2 colors, how many different ways he can paint the wall.
Bred has a total of 771 ways to paint the wall, taking into account that he can use at most two colors for the stripes or just one.
Explanation:The subject matter pertains to the field of combinatorics, a branch of mathematics dealing with combinations and permutations. The task requires finding the number of ways to paint 8 stripes on a wall using up to 2 colors from a selection of 3 colors, namely: blue, red, and white. Since we have more paint than stripes, the limiting factor in this problem is the number of stripes, not the quantity of paint.
As Bred can use at most two colors for the stripes, the combinations we can have with two colors are: blue and red, blue and white, red and white. In each of these combinations, there are 2^8 (or 256) ways to paint 8 stripes (exploration of all binary possibilities). So, for three combinations, it will be 3*256 = 768 ways.
Now, let's look at the single color options. He can also paint the stripes all in one color, but since he has only three colors, he has three ways for this.
Hence, in total, Bred has 768 (from two-color combinations) + 3 (from single color option) = 771 ways to paint a wall.
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Wendy is making lemonade. As shown below, Wendy mixes water and lemon juice . Which equation shows how much lemon juice is needed for 10 ounces of water
Answer:
3 times 10
Step-by-step explanation:
Find the missing number: 8.4(1.5 + 2.3) = 12.6 +
Answer:
19.32
Step-by-step explanation:
To find the missing number, we need to solve for the total of the left side of the equation.
Total = 8.4(1.5 + 2.3)
Total = 8.4(3.8)
Total = 31.92
Now we subtract the total to the only value on the right side.
Missing number = 31.9-12.6
Missing number = 19.32
8.4(1.5+2.3) = 12.6 + 19.32
Some one help please hurry.
this is an example, but it's not drawn accurately and not to scale
use a protractor and ruler for yours
Multiply
(5x-1)(6x^2+3x+7)
SHOW WORK
sorry for using printed paper, I tried my best to avoid the lines
Answer:
30x³ + 9x² + 32x - 7
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
5x(6x² + 3x + 7) - 1 (6x² + 3x + 7) ← distribute both sets of parenthesis
= 30x³ + 15x² + 35x - 6x² - 3x - 7 ← collect like terms
= 30x³ + 9x² + 32x - 7
w÷5=? "With work if needed"
Answer: This question doesn't have an answer.
Step-by-step explanation:
please help!!!!!
The price tags at a clothing store do not include the
sales tax in the prices. Chase buys $210 worth of
clothing at the store. He hands the cashier $250
and receives $15.89 in change. How much sales
tax does Chase pay on his purchase?
A $24.11
B $15.89
C $40
D $210
Answer:
A. $24.11
Step-by-step explanation:
Take $210 out of the $250 he gave the cashier
250 - 210 = 40
So you have his exact change without the tax though. so take what he RECIVED away from what he was suppose to recive which is 40. So.....
40 - 15.89 = 24.11
$24.11
Hope this helps!
Help...!!???!!??!!??!??
Answer:
[tex]\large\boxed{b)\ y=\dfrac{3}{4}x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b = y-intercpt → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (4, 2) and (0, -1) - y-intercept → b = -1.
(we see this already which equation. Only in b) y-intercept is b = -1).
Anyway, calculate the slope:
[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]
Finally we have the equation:
[tex]y=\dfrac{3}{4}x-1[/tex]
2. Two linear functions in a coordinate plane have no points
of intersection. Which pair of functions does not intersect?
A:6x + 2y = 12 and 20x + 10y = 14. B:4x + 2y = 12 and 20x + 10y = 30
C:6x +2y = 12 and y = 0.5x -0.6
D:10x + 10y = 6 and y = 0.5x - 0.6
Option B is correct since both the lines given in option B have same slope so both the lines do not intersect each other and hence have no common solution.
The given equations are of the form
ax + by = c ......(1)
Slope for the equation of line is given by [tex](\dfrac{-a}{b} )[/tex]
We can clearly see that in option B the lines given are
4x + 2y = 12 .......(2)
20x + 10y = 30....... (3)
Slope of equation (2)
[tex](\dfrac{-4}{2} )= -2[/tex]
Similarly slope of equation (3)
[tex](\dfrac{-20}{10} )= -2[/tex]
Which concludes that both are parallel to each other.
Since parallel lines can not have any common solution so they never intersect each other. Hence option B is correct.
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what is the area of pentagon ABCDE? 16 square units, 20 square units, 24 square units, or 36 square units?
Answer:
its A i just took the test
Step-by-step explanation:
Answer: The correct answer is 24 square units.
Step-by-step explanation:
What is the value of X? show all of your work
Answer:
11
Step-by-step explanation:
you need to divide 89 by 8 then round and you get 11