Answer:
there is no ans that is the ans
Answer:
x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz
Step-by-step explanation:
x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz
need help with this question
Answer:
(4,6)
Step-by-step explanation:
To calculate the midpoint of two points, just calculate the arithmetic mean (average) of the x and y values of the two points given. For example, it is easy to see visually that the midpoint of (2, 0) and (4, 0) is (3, 0), since (3,0) falls right in the middle of the two points. However, the way to calculate this would be to take the average of 2 and 4 (3), along with the average of 0 and 0 (0). This process gives us our new point (3, 0). In case this doesn't make sense, here is the formula for the midpoint of two points - (x1,y1) and (x2,y2):
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
For this problem, E is (2,4) and F is (6,8). So, the midpoint would be:
[tex](\frac{2+6}{2},\frac{4+8}{2})=(\frac{8}{2},\frac{12}{2})=(4,6)[/tex]
Therefore, the midpoint is (4,6)
Consider the set of real numbers and the set of complex numbers. Is every real number also a complex number? Is every complex number also a real number? Explain.
You define complex numbers as the reals, i, as usually defined, and their linear combinations using real coefficients, then,
The reals are complex numbers, even if you haven’t fully defined their properties.
If you define complex numbers as the form (a,b) with and a, b are real numbers, then you can say that each real number a is isomorphic with that complex number,
if b=0 once you define their properties.
What is the complex number?A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Of course, (0,1) will be i. You’ll have to define the multiplication rule, etc.
In actual usage, we gloss over the distinction, and real numbers are complex numbers with no imaginary part.
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Math is literally so hard
Answer:
C
Step-by-step explanation:
negative exponent flips the fraction
4^2=16
x^2 becomes x^4
y becomes y^2
Use the graph of the piecewise function to answer the question.
Over which intervals is the function decreasing?
Select all that apply.
x > 6
x ≤ -6
1 < x ≤ 5
-5 < x ≤ 1
5 < x ≤ 6
-6 < x ≤ -5
The decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6
How to determine the decreasing interval?From the given graph, the function value decrease at the following x values
Negative infinity to x = -6x = 1 to x = 5x = 6 to x = infinityThis can be properly represented as:
x ≤ -6, 1 < x ≤ 5 and x > 6
Hence, the decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6
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Which angle is an exterior angle?
k°
i°
g°
Answer:
k
Step-by-step explanation:
What else would need to be congruent to show that triangle ABC is congruent to triangle DEF by ASA?
BC = EF
the side has to lie between the two angles
find the quotients in the exponential forms by using laws of indices.
8^{2} ÷2^{10}=?
Answer:
Step-by-step explanation:
[tex]\dfrac{8^2}{2^{10}}\\=\dfrac{(2^3)^2}{2^{10}}\quad (8=2^3)\\\\=\dfrac{2^6}{2^{10}}\\\\=\dfrac{1}{2^{4}}=\dfrac{1}{16} \\\\or \quad 2^{-4} .[/tex]
MATH HELP!!! 100PTS!!!
Let p(x)=2x−4 and r(x)=6x−1/9x+1.
Solve p(x)=r(x) for x exactly. If there is more than one answer, enter your exact solution(s) in a comma separated list.
Answer:
[tex]x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}[/tex]
Step-by-step explanation:
Given functions:
[tex]p(x)=2x-4[/tex]
[tex]r(x)=\dfrac{6x-1}{9x+1}[/tex]
Solve for p(x) = r(x):
[tex]\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}[/tex]
As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]a=18, \quad b=-40, \quad c=-3[/tex]
Substitute the values of a, b and c into the quadratic formula and solve for x:
[tex]\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}[/tex]
Therefore, the solutions are:
[tex]x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}[/tex]
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look at image.........
The verbal description matches option D; Gene earns 2% interest after depositing $150 into his account.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The function given;
f(x) = 0.02 x +150
Gene earns 2% interest after depositing $150 into his account.
Thus, this verbal description matches the function given as it represents, the total account balance Gene.
Hence, Option D is the correct answer.
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Which triangle is a 30°-60°-90° triangle?
Answer:
Option A
Step-by-step explanation:
30° - 60° - 90° triangle:The ratio of the side of 30-60-90 triangle is x : x√3 : 2x
The angle opposite to 90° = 2x
2x = 10
x = 10÷2
x = 5
The side opposite to 30° is x which is 5.
The side opposite to 60° is x√3 = 5√3
The ratio of sides of 30-60-90 triangle:
5 : 5√3 : 10
Answer:
The first one is correct
Step-by-step explanation:
I got a 100 on the test, hope this helps
A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 833 full-time and 386 part-time seasonal employees from 2009 showed that 434 full-time employees were rehired compared with 189 part-time employees (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.10) (a-1) Choose the appropriate hypotheses. Assume TTF is the proportion of full-time employees and πrho is the proportion of part-time employees (a-2) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
(a-3) Find the test statistic Zcalc (Do not round the intermediate calculations. Round your answer to 3 decimal places.)
The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.
Given sample sizes of 833 and 386 and result of samples 434 and 189.
[tex]n_{1} =833, n_{2}=386[/tex]
Proportion of full time=434/833=0.52
Proportion of part time=189/386=0.49.
Difference in proportion =0.52-0.49
[tex]H_{0}:[/tex]TTF- i∈ rho=0
[tex]H_{1}:[/tex] TTF+i∈ rho≠0.
Mean of difference=0.03
Z=(X-μ)/σ
σ=[tex]\sqrt{0.4517/447}[/tex]
=0.0317
σ=0.0317
z=(0-0.03)/0.0317
=-0.03/0.0317
=-0.317
p value will be =0.1736.
Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.
Hence there is no significant difference in the proportion of rehires between full time and part time.
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A scuba diver is 30 ft below sea level. Which of the following best describes this situation?
1. |30|
2. |-30|
3. -30
4. ±30
A cone and a cylinder have the same base and height, as shown below.
A cone is inside of a cylinder with same base and height.
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The statement that apply is that the volume of the cone is One-third the volume of the cylinder
How to find the volume of a cone and cylinder?volume of a cone = 1 / 3 πr²h
where
r = radiush = height of the coneVolume of a cylinder = πr²h
where
r = radiush = heightThe cone and the cylinder has the same base and height. Therefore, the radius and height are the same .
volume of the cylinder = 84π
Therefore, the volume of the cone is One-third the volume of the cylinder.
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At a Phil's Cafe, a dinner meal is made up of an appetizer, a main course, a dessert and a drink. The choices for the appetizer are soup or salad; for the main course are chicken, fish, steak or lobster; for the dessert are ice cream, pie, sorbet, or a pastry; the drinks are coffee, tea or milk. How many different dinner meals are possible
The number of different meals possible is 96, computed using combinations.
The combination is a method of choosing a number of articles from a larger set of articles in no particular order.
In the question, we are asked about the different dinner meals possible when a dinner meal is made up of an appetizer, a main course, a dessert, and a drink.
The choices for the appetizer are soup or salad, so the number of ways of choosing an appetizer = 2C1 = 2.
The choices for the main course are chicken, fish, steak, or lobster, so the number of ways of choosing a main course = 4C1 = 4.
The choices for the dessert are ice cream, pie, sorbet, or pastry, so the number of ways of choosing a dessert = 4C1 = 4.
The choices for the drink are coffee, tea, or milk, so the number of ways of choosing a drink = 3C1 = 3.
The total number of ways is the product of all of them.
Therefore, the total number of ways = 2*4*4*3 = 96.
The number of different meals possible is 96, computed using combinations.
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Simplify the expression to a polynomial in standard form:
(−x+1)(x^2+6x−4)
Answer:
-x^3-5x^2+10x-4
Step-by-step explanation:
(−x + 1) (x ^ 2 + 6x − 4) = (-x)(x ^ 2 + 6x − 4) + 1(x ^ 2 + 6x − 4)
= -x^3-6x^2+4x+x^2+6x-4 = -x^3-5x^2+10x-4
which transformation below would map the polygon A to the polygon B?
a) Polygon A has been translated down then right
b) Polygon A has been translated to the right and reflected vertically
c) Polygon A has been reflected horizontally and reflected vertically
d) Polygon A has been rotated 180 degrees counterclockwise
Using translation concepts, the transformation is given as follows:
a) Polygon A has been translated down then right.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the orientation of the polygon is the same, hence there was no rotation nor reflection, which means that option A is correct.
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Pls help me I got it wrongg :((
Answer:
4 ounces
Step-by-step explanation:
I'm assuming when it says: [tex]33\frac{1}{3}%[/tex]% it means 33.3333333333 instead of 33/3.
Anyways under that assumption, we currently have 20 ounces in the grape juice, since 4 ounces is grape juice concentrate and 16 ounces is water. So currently let's just say that the total amount of grape juice concentrate is going to be: [tex](4+x)[/tex] where x is the amount of grape juice concentrate you need to add to make it 33.33%. The next thing to know is how to calculate how much percent a is of b. This can be calculated using the equation: [tex]\frac{a}{b}*100[/tex]. So in this case the a is going to be the grape juice concentrate, and the b is going to be the entire mixture (water and grape juice). Since the concentrate is having x added to it, that means the entire thing is also having x added to it. This means we have the equation: [tex]\frac{4+x}{20+x} * 100[/tex], since we already have 4 ounces of grape juice concentrate, and we already have 20 ounces in total (16 ounces of water + 4 ounces of grape juice). This is going to be equal to 33.33%, or in other words 33 1/3. So to make this a bit easier, I'm going to convert this mixed fraction into one fraction, this gives you the fraction: [tex]\frac{100}{3}[/tex]. So now that's all left to do is set these two expressions equal to each other and solve for x
Original equation
[tex]\frac{4+x}{20+x}*100=\frac{100}{3}[/tex]
Divide both sides by 100
[tex]\frac{4+x}{20+x}=\frac{100}{3}\div 100[/tex]
Keep fraction, change division to multiplication, flip 100
[tex]\frac{4+x}{20+x}=\frac{100}{3}* \frac{1}{100}[/tex]
The 100 in the numerator will cancel out the one in the denominator
[tex]\frac{4+x}{20+x}=\frac{1}{3}[/tex]
Multiply both sides by 20+x
[tex]4+x=\frac{20+x}{3}[/tex]
Multiply both sides by 3
[tex]3(4+x)=20+x[/tex]
Distribute the 3
[tex]12+3x=20+x[/tex]
Subtract x from both sides
[tex]12+2x=20[/tex]
Subtract 12 from both sides
[tex]2x=8[/tex]
Divide both sides by 2
[tex]x=4[/tex]
So Kahn needs to pour 4 more ounces of grape juice, to double check this, since the mixture already has 4 ounces of grape juice, this means the final mixture will have a total of 8 ounces of grape juice concentrate, and a total of 24 ounces, since it already had 16 ounces of water, and 4 ounces of grape juice and now there is 4 more ounces of grape juice being added, so a total of 24 ounces. this means that 8/24 will be grape juice concentrate or in other words: [tex]\frac{1}{3}[/tex] and when you multiply this by 100 (to convert to percent), you get 100/3 or 33 1/3%
What is the central idea of this passage? human beings are creative when they get into trouble. because of one man’s actions, whales never eat human beings. whales always have a sore throat because of a grating. human beings should stay away from whales to avoid being swallowed.
Answer:
B) Because of one man’s actions, whales never eat human beings.
Step-by-step explanation:
I'm pretty sure :P
Answer:
Because of one man’s actions, whales never eat human beings.
Step-by-step explanation:
-A farmer decides to pack 1,231 mangoes into sacks If a sack contains 25 mangoes, how many sacks can be parked full / Can fully be packed. How many remained?
Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?
Triangles A C D and E C B are shown. Point B of triangle E C B is on side A C of triangle A C D. Point D of triangle A C D is on side C E of triangle E C B. Angles C A D and B E C are congruent. The lengths of line segments A B and D E are congruent. The lengths of line segments B C and C D are congruent.
ΔACD ≅ ΔECB
ΔACD ≅ ΔEFD
ΔAFB ≅ ΔEFD
ΔAFB ≅ ΔECB
Using the ASA congruence theorem, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
What is the ASA Congruence Theorem?Two triangles are congruent by the ASA congruence theorem if they have two pairs of corresponding congruent angles and a pair of included congruent sides.
In the proof given in the diagram, using the ASA congruence theorem, Rowena has been able to prove that ΔACD and ΔECB have two pairs of corresponding congruent angles and a pair of included congruent sides.
Therefore, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
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Answer:
A see picture
Step-by-step explanation:
someone please help me with problem #7 !!!
Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
[tex]f(x)=a(x-2)(x-6)[/tex]
Substituting in the coordinates of the vertex,
[tex]-4=a(4-2)(4-6)\\\\-4=-4a\\\\a=1[/tex]
So, the equation is [tex]f(x)=(x-2)(x-6)[/tex]
On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]
PLS HELP
13. A box contains about 250 marbles in 5 different colors. James selected a random sample of 30 marbles and counted 16 red, 5 blue, 5 green, 3 white, and 1 yellow.
Which statement is NOT a valid inference about all of the marbles in the box?
There is exactly 1 yellow marble in the box.
There are about 25 white marbles in the box.
There are about the same number of blue and green marbles.
There are more red marbles than any other color.
Answer:
Invalid statement: There is exactly 1 yellow marble in the box
Step-by-step explanation:
The probability of finding a yellow marble is Py = 1/30, according to the sample. Then, the number of yellow marbles expected to find in the box is:
N x Py > 1 ,
where N = 250 (number of marbles in the box).
Thus, we expect to find more than one yellow marble in the box and the Invalid statement is: "There is exactly 1 yellow marble in the box".
Solve the system of equations using substitution.
y = -2X +1
4x + 2y = -2
Answer:
Step-by-step explanation:
4x + 2(-2X +1) = -2
Order of operations -
4x + -4x +2 = -2
Combine terms
4x-4x=0x
2 = -2
Answer:
no solution
Step-by-step explanation:
y = - 2x + 1 → (1)
4x + 2y = - 2 → (2)
substitute y = - 2x + 1 into (2)
4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side
4x - 4x + 2 = - 2 ( subtract 2 from both sides )
0 = - 4 ← not possible
this indicates the system of equations has no solution
Aiden and Jacob share a reward of $60 in a ratio of 2:3. what fraction of the total reward does Jacob get?
Solve x ^ 2 + 13x + 22 = 0using the quadratic formula.
Answer:
x= -2, -11
Step-by-step explanation:
What term best describes 3x + 5?
Answer: Algebraic expression
Step-by-step explanation:
y≥-x+4 linear inequality graph
The slope m = -1 and the y-intercept = ( 0, 4 ).
The graph is a solid line, shaded area above the boundary line since y is greater than -x + 4.
What is the graph of the inequality?Given that;
y ≥ -x + 4
First, we use the slope intercept form y = mx + b to determine the slope and y-intercept.
y ≥ -x + 4
y = mx + b
We can see that;
m = -1
b = 4
Hence, the slope m = -1 and the y-intercept = ( 0, 4 ).
The graph is a solid line, shaded area above the boundary line since y is greater than -x + 4.
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please help! write the function for the graph:
Answer: y=[tex]\sqrt[3]{x}[/tex]-4
Step-by-step explanation:
The amount of soda in a half-liter bottle follows a normal distribution. Assume μ = 500 ml and σ = 10 ml. A government auditor will fine the company if a random sample of 5 bottles has a sample mean under 490 ml. Find the probability the company will be fined.
The probability that the company will be fined is 0.1587.
How to illustrate the probability?From the information given, it was assumed that μ = 500 ml and σ = 10 ml.
Also, the random sample of 5 bottles has a sample mean under 490 ml.
Here, the probability will be:
= P(x < 490)
= P[(z < (490 - 500)/10]
= P (z < -10/10)
= P(z < -1)
Looking at this under the z table, the probability will be 0.1587
The probability is 0.1587.
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i really need help before tomorrow, but my question is,
what is x⋅(-1)⋅(-x)⋅(1) simplified?
thanks!!
Answer:
[tex] \tt \: x.( - 1).( - x).(1)[/tex]
[tex] \longrightarrow \tt ( - x). (- x)[/tex]
[tex] \longrightarrow \boxed{\tt{x}^{2} }[/tex]
Our final answer : x^2------- HappY LearninG <3 --------------