Answer:
0
Step-by-step explanation:
Using the algebraic identity
(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4
4³ = x³ + y³ + 12xy , that is
x³ + y³ + 12xy = 64 ( subtract 64 from both sides )
x³ + y³ + 12xy - 64 = 0
Answer:
the answer is zero
Step-by-step explanation:
x^3 + y^3 + 12xy – 64 factorize the polynomial
x^3+y^3-4^3+3(4xy) 64 is 4^3
take x+y-4 as a common factor
(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4
(4-4)(x^2+y^2-4^2-3xy)
=0 any amount multiply by zero =0
Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only.
1.P(z>1.38)=
2.P(1.233.P(z<−0.42)=
3.P(z<−0.42)=
4. P(−2.645.P(z<3.04)=
5. P(z<3.04)
6.P(07.P(z>−2.43)=
7.P(z>−2.43)=
Answer:
(1) P (z > 1.38) = 0.08379
(2) P (z < - 0.42) = 0.33724
(3) P (z < 3.04) = 0.99882
(4) P (z > -2.43) = 0.00755
Step-by-step explanation:
(1)
Compute the value of P (z > 1.38) as follows:
[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]
(2)
Compute the value of P (z < -0.42) as follows:
[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]
(3)
Compute the value of P (z < 3.04) as follows:
[tex]P(z<3.04)=0.99882[/tex]
(4)
Compute the value of P (z > -2.43) as follows:
[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]
Find the distance between the points (4, 0) and (–3, 4).
Answer:
[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (4, 0) and (-3, 4).
Substitute:
[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]
List the sides of ∆XYZ in order from shortest to longest if m∠X = 51, m∠Y = 59, and m∠Z = 70
Step-by-step explanation:
Angles and sides go hand-in-hand. Although I don't see the actual triangle that's used, and that can affect my answer, the side opposite of the shortest angle will be the shortest, the side opposite of the middle angle will be the middle, and the side opposite the largest angle will be the largest. For example, if the shortest angle (m∠X = 51) is the top vertex, the base side will be the shortest.
The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math
THIS IS THE COMPLETE QUESTION BELOW;
The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math
Answer:
We would approximately pick a green marble 240 times
Step-by-step explanation:
Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5
Let us denote the number of trials as X
Now the approximately number of times a green marble can be selected would be
=2/5 times
From the question we are given 600 trials
which implies our x=600
Therefore, the number of times we would pick a green marble is:
2/5 × 600 times
≈ 240 times
Therefore, we would approximately pick a green marble 240 times
como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme
simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)
Answer:
[tex]\dfrac{5}{x^3-12x^2+47x-60}[/tex]
Step-by-step explanation:
Though it is not what you have written, we think you want to simplify ...
[tex]\dfrac{2(a-3)}{(a-4)(a-5)}+\dfrac{(a-1)}{(3-a)(a-4)}+\dfrac{(a-2)}{(5-a)(a-3)}\\\\=\dfrac{2(a-3)^2}{(a-3)(a-4)(a-5)}+\dfrac{-(a-1)(a-5)}{(a-3)(a-4)(a-5)}+\dfrac{-(a-2)(a-4)}{(a-3)(a-4)(a-5)}\\\\=\dfrac{2(a^2-6a+9)-(a^2-6a+5)-(a^2-6a+8)}{x^3-12x^2+47x-60}\\\\=\boxed{\dfrac{5}{x^3-12x^2+47x-60}}[/tex]
_____
When writing a fraction in plain text, parentheses are needed around the entire denominator. The order of operations tells you that a/bc = (a/b)c, not a/(bc).
which numbers below belong to the solution set of the inequality? Check all that apply. x -9 < 32 A) 41 B) 24 C) 53 D) 40 E) 36 F) 45
Answer:
[tex]a)41[/tex]
Step-by-step explanation:
[tex]x - 9 < 32[/tex]
[tex]by \: collecting \: like \: terms[/tex]
[tex]x < 32 + 9[/tex]
[tex]x < 41[/tex]
Answer:
B) 24
D) 40
E) 36
Step-by-step explanation:
x - 9 < 32
Add 9 on both parts.
x - 9 + 9 < 32 + 9
x < 41
x is lesser than 41.
24, 40, and 36 are lesser than 41 from the list.
Write the answer using scientific notation.
(2 x 10^13)^-2
Answer:
2.5 * 10^-27.
Step-by-step explanation:
(2 x 10^13)^-2
= 2^-2 x 10^-26
= 1/2^2 x 10^-26
= 0.25 x 10^-26
= 2.5 * 10^-27.
━━━━━━━☆☆━━━━━━━
▹ Answer
2.5 x 10⁻²⁷
▹ Step-by-Step Explanation
(2 x 10¹³)⁻²
2⁻²(10¹³)⁻²
0.25 x (10¹³)⁻²
0.25 x 10⁻²⁶
2.5 x 10⁻²⁷
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
When shopping for accessories for her action camera, Giana found an advertisement for a replacement battery. The advertisement includes
the given graph of a function to represent the charge remaining in the battery after streaming x hours of video.
Answer:
The correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0)
Step-by-step explanation:
From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)
Therefore, we have the slope, m given by the following relation
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where:
y₁ = 100
x₁ = 0
y₂ = 0
x₂ = 8
Which gives;
[tex]m =\dfrac{0-100}{8-0} = -12.5[/tex]
The equation in slope can be found as follows
y - 100 = -12.5×(x - 0)
y = -12.5·x + 100 = -25/2·x + 100
Multiplying by 2 gives;
2·y = -25·x + 200
25·x + 2·y = 200
Therefore, the correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0).
Answer:
The x-intercept for the function is (8,0).
The equation of the function is 25x + 2y = 200.
The equation of the function is y =-25/2 x + 100.
Step-by-step explanation:
how much is 4 raised to 4?
Answer:
4 raised to 4 is 256
Step-by-step explanation:
Answer: 256
Step-by-step explanation:
Remember: to calculate by elevated you have to calculate the same number the same number of times. For example: 4 raised by 4 is: 4 x 4 x 4 x 4 and that multiplication results in: 256. I hope and it has helped you ;)
Find the height, x, of the triangle. A. 30 B. 40 C. 50 D. 60
Answer:
The correct option is;
A. 30
Step-by-step explanation:
Given that the perpendicular bisector forms two other right angled triangles, we have;
For the larger right angled triangle, hypotenuse length = 100
For the smaller right angled triangle, hypotenuse length = 90
We note that;
y² = x² + 10²
z² = x² + 90²
100² = z² + y ²
Therefore we have;
100² = x² + 10² + z² = x² + 10² + x² + 90² = 2·x² + 90² + 10²
10000 = 2·x² + 8200
2·x² = 10000 - 8200 = 1800
x² = 1800/2 = 900
x = 30
Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?
Answer: 51.75
Step-by-step explanation: 15 precent of 45 is 6.75
Then add 45+6.75
Answer:
Her total including the bill will be $51.75
Step-by-step explanation:
15% of $45
= $6.75
$45 + $6.75 = $51.75
I need help on this problem please
Answer:
x = -2
Step-by-step explanation:
Step 1: Substitute h(x) for -9
-9 = 4x - 1
Step 2: Solve for x
-8 = 4x
x = -2
Answer:
x = -2.
Step-by-step explanation:
h(x) = 4x - 1, h(x) = -9.
-9 = 4x - 1
4x - 1 = -9
4x = -8
x = -2
Check your work!
4 * (-2) - 1
= -8 - 1
= -9
Since it works out, x = -2.
Hope this helps!
A baker is making cookies. She uses 3 cups of flour for every 8 oz of chocolate chips
How many cups of flour are needed with 192 oz of chocolate chips?
Answer: 72cups
Step-by-step explanation:
there are 8oz in a cup, so 8oz x 3cups = 24oz
[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]
[tex]\frac{576}{8} = 72cups[/tex]
The baker will need 72 cups of flour for 192oz of chocolate chips.
s the ordered pair (6, 5) a solution to the equation 3x − 4y = −2?
Answer:
Yesh.
Step-by-step explanation:
3x - 4y = -2
3 * 6 - 4 * 5 = -2
18 - 20 = -2
-2 = -2
So, the ordered pair is a solution to the equation.
Hope this helps!
Answer:
Yes, it is
Step-by-step explanation:
If you add in the numbers, you get
(3*6)- (4*5)=-2.
then solving it, you get
18-20= -2
which is correct. (18-20 IS -2)
so, the ordered pair is a solution to the problem. Hope this helps :)
Pleas Help 9th grade work
Consider the reflectional symmetry of the shape.
How many lines of symmetry does the shape have?
2
3
4
5
Answer:
4.
Step-by-step explanation:
One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).
Another is a vertical line through the centre of the vertical part.
Then there are 2 diagonal lines of reflectional symmetry.
If i make $8.00 per hour and work 6 hours a day 5 days per week how much would my check be bi-weekly?
Answer:
480$
Step-by-step explanation:
Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.
Answer this ASAP please
A. a=2, b=27, c=3
B. a=2, b=-27, c=-3
C. a=2, b=-3, c=-27
D. a=2, b=3, c=27
Answer:
Third Choice: a = 2, b = -3, c = -27
Step-by-step explanation:
The equation to be solved with the quadratic formula must be written in the form
ax^2 + bx + c = 0
2x^2 = 27 + 3x
Subtract 3x from both sides. Subtract 27 from both sides.
2x^2 - 3x - 27 = 0
Now we see we have
a = 2, b = -3, c = -27
Answer: Third Choice
The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.
Write a function, C(x), to model the water used by the car wash on a shorter day
Answer:
The second option.
Step-by-step explanation:
We are trying to find what is W(x) - D(x).
(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)
= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15
= 3x^3 + 4x^2 - 11x - 8
This corresponds to the second option.
Hope this helps!
A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
The water usage at a car wash is modelled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The amount of decrease in water used is modelled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.
We are trying to find what
C(x) = W(x) - D(x)
C(x) = ( 4x³ + 6x² − 11x + 7, ) - ( x³ + 2x² + 15 )
C(x) = 4x³ - x² + 6x² - 2x³ - 11x + 7 - 15
C(x) = 3x³ + 4x² - 11x - 8
Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8
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The number -32 belongs to which sets of numbers?
A) Integers,rational
B) Whole, Integers,rational
C) Integers,Irrational
D) Whole,Integers
The number -32 belongs to set : A) integers, rational
Rational numbers are terminating or repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.
Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.
Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.
Given number : -32.
Since, the number is terminating, it is rational.
Further, it is not a fraction or decimal, hence integer.
But since the number is negative, not a whole number.
Therefore A) Integers, rational is correct option.
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Which is the equation for a sphere with the center (2,-9,-1) and radius √r? a. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r b. (x - 2)2 + (y + 9)2 + ( z + 1)2 = r c. (x - 2)2 + (y + 9)2 + ( z + 1)2 = √r d. (x + 2)2 + (y - 9)2 + ( z - 1)2 = r2
Answer: b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex]
Step-by-step explanation:
The general equation of a sphere is : [tex](x - a)^2 + (y - b)^2+ (z - c)^2 = R^2[/tex], where (a, b, c) represents the center of the sphere, R represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.
Given, Center of the sphere = (2,-9,-1)
Radius = √r
Then, the equation of the sphere would be
[tex](x - 2)^2 + (y - (-9))^2+ (z - (-1))^2 = (\sqrt{r})^2\\\\\Rightarrow\ (x-2)^2+(y+9)^2+(z+1)^2=r[/tex]
Hence, the correct option is b. [tex](x-2)^2+(y+9)^2+(z+1)^2=r[/tex] .
The product of a number and its inverse is 1. Represent it in algebraic form.
Answer:
Step-by-step explanation:
Hello
first of all we assume that this number is different from 0 as dividing by 0 is not allowed
let's not n this number
its inverse is
[tex]\dfrac{1}{n}[/tex]
and we can write
[tex]n*\dfrac{1}{n}=1[/tex]
hope this helps
Answer:
x * 1/x = 1
Step-by-step explanation:
Let x be the number
1/x is the inverse
x * 1/x = 1
how many stakes 5.5 feets long can be cut from 10 lengths of lumber each 12 feet long
Answer:
20 or 21 stakes
Step-by-step explanation:
It would be 20 if you were not able to use the extra wood after cutting two 5.5 foot long segments from each lumber. If you can use the extra 1 foot from each lumber then you would have an extra 10 feet of lumber which you could get one 5.5 foot long stake from.
The number of stakes will be 22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 5.5 feet long can be cut from 10 lengths of lumber each 12 feet long.
The total length is calculated as:-
Total length = 12 x 10 = 120 feet
Number of stakes = 120 / 5.5 = 21.81 ≅ 22
Hence, the number of stakes is 22.
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Which figure shows a line of reflectional symmetry for the letter T? A letter T is folded at the horizontal line. A letter T is folded diagonally. A letter T is folded vertically through the middle. A letter T is folded diagonally through its center.
Answer:
A letter T is folded vertically through the middle.
Step-by-step explanation:
Reflectional symmetry refers to the symmetry of line that divides the given shape into two equal halves. The halves represent the mirror reflection of each other. The line of symmetry is drawn to show the reflection and it acts as a mirror. For the letter 'T', the reflectional symmetry will be drawn vertically in the middle of the letter. The line divides the letter into two equal halves with mirror images.
The figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.
What is a Line of Reflectional Symmetry?A line of reflectional symmetry can be described as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.
When a line divides letter T vertically, two mirror images are created.
Thus, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.
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help quick plz i will make u a brainllest
Answer:
The answer is option B.
Step-by-step explanation:
Let < D be x
Since the triangle isosceles < E is also the same as < D
Let < E also be x
Angles in a triangle add up to 180°
x + x + 102 = 180
2x = 180 - 102
2x = 78
Divide both sides by 2
x = 39°
Therefore m < D is 39°
Hope this helps you
Express 0.035 metre into km
Answer:
[tex]0.000035km[/tex]
Step-by-step explanation:
[tex]1km =1000m \\ x = 0.035m[/tex]
[tex]use \: \: cross \: \: multipication[/tex]
[tex]0.035 \times 1 = 1000x \\ 0.035 = 1000x \\ \frac{0.035}{1000} = \frac{1000x}{1000} \\ x = 0.000035km[/tex]
Answer:
0.000035 kilometer
Step-by-step explanation:
1 kilometer = 1000 meters
x = 0.035 meter
Let the unknown value be x.
Cross multiplication.
1000 × x = 1 × 0.035
1000x = 0.035
Divide both sides by 1000.
(1000x)/1000 = 0.035/1000
x = 0.000035
Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of the quadrilateral EFGH?
Answer:
Can't be determined.
Step-by-step explanation:
From the fact that the quadrilaterals are similar:
Corresponding sides are in proportion and
Corresponding angles are congruent.
We can't create a proportion, so there's nothing else that we can determine.
Answer:
Below.
Step-by-step explanation:
Similar figures have the same size but not necessarily the same size.
The respective sides will be in the same ratio in a similar figure.
So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.
Solve 2(ax-by)+(a+4b)=0, 2(bx+ay)+(b-4b) using linear equation
Answer:
The answer is below
Step-by-step explanation:
2(ax-by)+(a+4b)=0 . . . 1)
2(bx+ay)+(b-4a) = 0 . . . 2)
Equation 1 gives:
2ax - 2by + a + 4b = 0 . . . 1)
Equation 2 gives:
2bx + 2ay + b - 4a = 0 . . . 1)
Multiplying equation 1 by a and equation 2 by b :
2a²x - 2aby + a² + 4ab = 0
2b²x + 2aby + b² - 4ab = 0
Adding together:
2a²x + 2b²x + a² + b² = 0
2x (a² + b²) = -(a² + b²)
2x = -1
x = -1/2
Multiplying equation 1 by b and equation 2 by a:
2abx · 2b²y + ab + 4b² = 0
2abx + 2a²y + ab - 4a² = 0
Subtracting:
2y(a² + b²) - 4(a² + b²) = 0
2y(a² + b²) = 4(a² + b²)
2y = 4
y = 2
A rectangle has a length of 12 mm and a width of 15 mm. Which statement best describes the change in the
A new rectangle was created by multiplying all of the perimeter of the new rectangle?
dimensions by a scale factor of 3.
The new perimeter will be times the perimeter of
2
the original rectangle.
WI-
15 mm
5 mm
4 mm
The new perimeter will be times the perimeter of
the original rectangle.
The new perimeter will be 2 times the perimeter of
the original rectangle.
The new perimeter will be 3 times the perimeter of
the original rectangle.
12 mm
ANSWER:
The new perimeter will be 1/3 times the perimeter of the original rectangle.
;p :D
Answer:
1/3
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
f(x)=2(x-3)^2
Step-by-step explanation:
vertex form: a(x-h)^2+k
so find the vertex (h,k) and use it to turn it into vertex form