Answer:
the answer is y = 6 because 4 × 6= 24 plus 3 is 27
Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
0
4
25
100
Answer:
it's 25, just did it
Step-by-step explanation:
1 /2 o f ( − 10 ) = − 5 , ( − 5 )^ 2 = 25
Answer:
C. 25
Step-by-step explanation:
V(18, -17) and W(3,9)
Find the mid points
Answer:
\(=\left(\frac{21}{2},\:-4\right)\)
Step-by-step explanation:
\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)\)
Help please please
Answer: 0
Step-by-step explanation: If you were to divide 0 by zero, (since x and y both = 0) It would be zero. Plus, zero is NOT negative nor positive, so it would be zero.
PLEASE HELP!!
Which is the simplified form of the expression
1 - StartFraction 1 Over q Superscript 30 Baseline EndFraction
2 - q Superscript 30
3 - StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
4 - p Superscript 12 Baseline q Superscript 60
Answer:
1/q^30
Step-by-step explanation:
Simplified
the amplitude of a sector of πcm² of area and 1.5 cm of radius
The area of the sector is A = π cm² and amplitude is a = 0.75 cm
Given data ,
The area of a sector is given by the formula:
A = (1/2) x r² x θ
where r is the radius of the sector and θ is the central angle in radians.
On simplifying , we get
A = π cm²
r = 1.5 cm
Substituting these values into the formula, we get:
π = (1/2) x (1.5)² x θ
π = (3/4) x θ
Solving for θ, we get:
θ = (4/3) x π
The amplitude of the sector is half of the radius, so:
amplitude = (1/2) x 1.5 cm = 0.75 cm
Hence , the amplitude of the sector is 0.75 cm
To learn more about area of sector click :
https://brainly.com/question/28180776
#SPJ1
Alguien me puede dar la ecuación que explica porque ella no me ama?
The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).
what is cardioid ?A two-dimensional plane figure called a cardioid features a heart-shaped curvature. The Greek word "cardioid," which meaning "heart," is the source of the word "cardioid." Thus, it is referred to as a heart-shaped curve.
The polar pattern of a cardioid microphone gives it its name. It is classified as a directional microphone since only noises from the front and sides may be picked up by it, and the direction has an impact on the sound image that is recorded.
here the explanation:-
The equation for the heart is (x2 + (9/4)*(y2 + z2 -1)3 - (x2*(z3) -(9/200)*(y2*(z3)).
The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).
To know more about cardioid visit :-
https://brainly.com/question/29556891
#SPJ1
find the third term of the geometric sequence when a1 = 1/4 and r=-2
Answer:
1
Step-by-step explanation:
(-2)(1/4)=-1/2
(-2)(-1/2)
=1
the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1
We have a geometric sequence in which the first term is \(\frac{1}{4}\) and the common ratio is -2.
We have to find the third term of this geometric sequence.
What is the formula to find the \(n^{th}\) term of a geometric sequence?The formula to find the \(n^{th}\) term of a geometric sequence with first term \(a_{1}\) and common ratio r is -
\(a_{n} =a_{1} r^{n-1}\)
In our question, \(a_{1}\) = \(\frac{1}{4}\) and r = -2 and n =3.
Substituting the values, we get -
\(a_{3} =\frac{1}{4}(-2)^{3-1} = \frac{1}{4} (-2)^{2} =\frac{1}{4}\times4=1\)
Hence, the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1.
To solve questions on geometric sequences, visit the link below -
https://brainly.com/question/4069689
#SPJ5
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
To learn more about interest, click here:
https://brainly.com/question/15089941
#SPJ4
An object is added to a graduated cylinder containing 12. 5 ml of water. If the volume of the object is 7. 6 ml, what is the new volume of the water?.
1.644 gml⁻¹ is is the new volume of the water .
What is density, ?
Density is the concept that if you weigh two identically sized cubes made of different materials, they often won't weigh the same. It also implies that a massive cube of Styrofoam can have a weight equal to that of a tiny cube of lead. Iron, lead, or platinum are a few examples of dense materials.The ratio of an object's mass to its volume is its density.The amount of "stuff" that is contained in a certain amount of space is measured by density. For instance, a block of gold will be denser than a chunk of the softer, lighter element lead (Pb), which is a heavier element (Au). A brick is more dense than a block of Styrofoam. It is described as mass divided by volume.density = mass/volume
ρ = 12.5/7.6
ρ = 1.644 gml⁻¹
Learn more about density
brainly.com/question/15164682
#SPJ4
Anita works at a bike shop. The shop receives a shipment of new tires that are supposed to be less likely to get flats than the shop's current tires. Anita puts the current tires on a random sample of 8 bikes and puts the new tires on a random sample of 8 bikes. She collects data on the number of flats for each bike over a one-year period. Current tires: 4, 5, 7, 2, 3, 9, 7, 5 New tires: 1, 3, 3, 3, 1, 2, 1, 2 The means are 5.25 and 2 respectively, for a difference of 3.25. Anita wants to know if this is significant or if it could be caused by chance. To find out, she re-randomizes the results 15 times and finds the differences of the means. The dot plot shows the data. What is the best conclusion for Anita to make based on the data?
Answer:
the difference of 3.25 is significant because the re-randomizations show that it is outside the range of what could happen by chance.
Step-by-step explanation:
took the test
The mean of the two samples is 5.25 and 2 respectively.
What is a mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Given data is:-
Current tires: 4, 5, 7, 2, 3, 9, 7, 5 New tires: 1, 3, 3, 3, 1, 2, 1, 2The mean will be calculated as:-
Mean current tyres = ( 4 + 5 + 7 + 2 + 3 + 9 + 7, + 5 ) / 8
Mean = 5.25
Mean New tires = ( 1 + 3, + 3 + 3 + 1 + 2 + 1 + 2 ) / 8
Mean = 2
Therefore the mean of the two samples is 5.25 and 2 respectively.
To know more about mean follow
https://brainly.com/question/968894
#SPJ2
in the diagram below all angles are given in degrees(°)
find X with 50°,3x,X,X+110
The value of x in the angles of Quadrilateral is 52 degree.
According to the statement
we have given a four angles and we have to find the value of x in these give angles.
From given 4 angles it is clear that the these angles are of a quadrilateral.
And we know that the
A quadrilateral is a four-sided polygon, having four edges and four corners.
And the sum of all angles of a quadrilateral is 360 degree.
so,
50° + 3X + X + (X+110) = 360 degree
50° + 4X + (X+110) = 360 degree
50° + 5X + 110 = 360 degree
160° + 5X = 360
5X = 360-100
5X = 260
X = 52 degree.
So, The value of x in the angles of Quadrilateral is 52 degree.
Learn more about Quadrilateral here
https://brainly.com/question/16691874
#SPJ1
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
3. What is the probability an individual student likes between 5.5 and 8.5 songs from Eminem?
This indicates that there is an about 0.1587 chance that a particular student will like Eminem tracks between 5.5 and 8.5.
Explain about the probability?The quantity of possible outcomes is known as probability. all events that could possibly occur. For instance, there is a 1 in 2 chance of receiving a head when flipping a coin, and there are 2 possible outcomes overall (a head or tail). P(heads) = 12 is the formula.
There are four primary categories of probability: axiomatic, axiomatic, classical, and empirical. Probability is the area of mathematics that deals with the possibility of a random event.
How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.
To find:
P(X < 5.5)
Z = -1.0
However;
P(X< 5.5) = P(Z < -1.0)
P(X< 5.5) = 0.1587
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ1
z = 44i+ 23.3
What is the real part of z?
What is the imaginary part of z?
Answer:
real: 23.3imaginary: 44Step-by-step explanation:
The real part does not have i as a multiplier. It is 23.3.
The imaginary part* is the coefficient of i: 44.
_____
* There is some disagreement as to whether the imaginary part includes i or not. One source says the imaginary part is the part that has i as a factor (44i). Another source says the imaginary part is the real number that multiplies i (44). Above, we have used the latter definition. Please consult your curriculum materials for the definition you should use.
a treatment plant is running at 4,883 gpm, and feeding 85 pounds per day of cationic polymer. what is the current dosage rate for this chemical?
The current dosage rate for cationic polymer for a treatment plant running at 4,883 gpm and feeding 85 pounds per day is approximately 1.74 mg/L.
Dosage rate is the amount of chemical added to the water in a given unit of time. In this case, the dosage rate for cationic polymer can be calculated as follows:
Dosage rate = (85 lb/day) / (4,883 gpm x 60 min/hour x 8.34 lb/gal)
Dosage rate = 0.0002585 lb/gal
Dosage rate = 1.74 mg/L (since 1 lb/gal is equivalent to 119.83 mg/L)
Therefore, the current dosage rate for cationic polymer for this treatment plant is approximately 1.74 mg/L.
Know more about cationic polymer here:
https://brainly.com/question/1443134
#SPJ11
suppose a juice box contains 30% juice with the remaining portion of the drink composed of water. what is the solute in this type of juice box?
Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.
Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.
Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.
Read more about the solute;
https://brainly.com/question/16083884
#SPJ4
What is the awnser to n-5x4
Answer:
depends on the value of N.
Step-by-step explanation:
There are an infinite number of possibilities for the value on N. In order if Find N you need to equal the equation to a value then it will be easier to solve.
Answer:
-20n
Step-by-step explanation:
All we have to do is multiply if Im reading it right its -5n times 4 so that equals -20n
PLS GIVE BRAINLIST
have a good day :)
If your p-value is .11, and the significance level is .05, what do you conclude?
If your p-value is 0.11 and the significance level is 0.05, you would conclude that there is insufficient evidence to reject the null hypothesis. In other words, you cannot establish a statistically significant relationship between the variables you are studying.
To explain this further, the p-value (0.11) represents the probability of observing the data, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. The significance level (0.05) serves as a threshold to determine whether the p-value is small enough to reject the null hypothesis.
If the p-value is less than or equal to the significance level, you would reject the null hypothesis and conclude that there is a statistically significant relationship between the variables. However, in this case, the p-value (0.11) is greater than the significance level (0.05), which means that the probability of observing the data is not low enough to reject the null hypothesis.
Therefore, you cannot establish a statistically significant relationship between the variables, and the observed results could be due to chance or random variation.
You can learn more about significance level at: brainly.com/question/13947717
#SPJ11
What is a possible factor of x³ 6x² 11x 6?
Therefore , the solution to the given problem of the equation whose factors are (x+2)(x+1)(x+3).
Describe equation.
Two expressions joined by an equal sign form a mathematical statement known as an equation.
An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
According to the Given question:
x³ + 6x² + 11x +6
This pattern of coefficients 1, 6, 11, 6 is actually one that you are likely to encounter frequently.
For demonstration reasons, let's see what occurs if we begin by using the typical technique for resolving a general cubic:
We can use a linear substitution, t = x + b/3a, to simplify any cubic of the form ax3 + bx2 + cx + d, resulting in a cubic in the form a + b + et + f without a quadratic term.
This is the most straightforward type of Tschirnhaus transformation.
In our example, a = 1 and b = 6, so we want t = x + 2.
Note that:
= + 6+ 12x +8
So we find:
+ 6+ 11x +6 = − (x + 2)
= - t
= t ( - 1)
= t(t − 1)(t + 1)
= (x+2)(x+1)(x+3)
Therefore , the solution to the given problem of the equation whose factors are (x+2)(x+1)(x+3).
To know more about equation, visit
brainly.com/question/10413253
#SPJ4
It is as yet an unproven conjecture that there exist infinitely many pairs of primes that differ by two. These special prime numbers (e.g., 17 and 19, or 1019 and 1021) are sometimes known as "prime pairs" but are best known as what?
These special prime pairs are best known as "twin primes."
The question is about the unproven conjecture that there exist infinitely many pairs of prime numbers that differ by two, which are best known as a specific term. These special prime numbers, such as (17 and 19) or (1019 and 1021), are sometimes called "prime pairs" but they are best known as "twin primes."
Twin primes are the pairs of prime numbers that differ by a number of two, such as (3, 5), (5, 7), (11, 13), (17, 19), and so on. The conjecture that there are infinitely many twin primes is one of the oldest unsolved problems in number theory.
Know more about twin primes here:
https://brainly.com/question/12857347
#SPJ11
əz 22. Suppose z= z(x, y) is implicitly determined by ln(x+y+z) = x+2y+3z. Then dy (z.y.a)=(-1,5,-3)
the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).
To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.
Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.
Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.
Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
Learn more about equation here: brainly.com/question/29657983
#SPJ11
69-70. Use the formula in Exercise 45 in Section 12.4 to find the distance from the point to the given line.
69. (4, 1,-2); x = 1 + t, y = 3 - 2t, z = 4-3t
70. (0, 1, 3); x = 2t, y = 6-2t, z = 3 + t
The distance from the point (4, 1,-2) to the line x = 1 + t, y = 3 - 2t, z = 4-3t is 10 / sqrt(14), and the distance from the point (0, 1, 3) to the line x = 2t, y = 6-2t, z = 3 + t is 7 / 3.
To find the distance from a point to a given line in space, we can use the formula d = |(P - Q) × v| / |v|, where P is the given point, Q is a point on the line, and v is the direction vector of the line.
For problem 69, we have the line x = 1 + t, y = 3 - 2t, z = 4-3t and the point P = (4, 1,-2). We can choose any point on the line to be Q, so let's choose Q = (1, 3, 4) (when t=0). Then, the direction vector of the line is v = <1, -2, -3>.
Substituting these values into the distance formula, we get d = |(P - Q) × v| / |v| = |(3, -2, -6) × (1, -2, -3)| / sqrt(14) = 10 / sqrt(14).
For problem 70, we have the line x = 2t, y = 6-2t, z = 3 + t and the point P = (0, 1, 3). Let's choose Q = (2, 4, 4) (when t=1) as a point on the line, and then the direction vector of the line is v = <2, -2, 1>.
Substituting these values into the distance formula, we get d = |(P - Q) × v| / |v| = |(-2, -3, -1) × (2, -2, 1)| / 3 = 7 / 3.
Therefore, the distance from the point (4, 1,-2) to the line x = 1 + t, y = 3 - 2t, z = 4-3t is 10 / sqrt(14), and the distance from the point (0, 1, 3) to the line x = 2t, y = 6-2t, z = 3 + t is 7 / 3.
For more questions like Distance click the link below:
https://brainly.com/question/15172156
#SPJ11
suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per hour. what is the rate of change of the surface area s when the radius is 4?
When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr
As the radius r is shrinking at the rate of two inches per hour, it can be represented as;
dr/dt = -2 in / hr
Here, the negative sign represents the shrinking of the snowball with time t.
The surface area of a sphere can be represented by the formula;
S = 4πr²
Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;
dS/dt = d/dt (4πr²)
dS/dt = 4π (d/dt) (r²)
dS/dt = 4π × 2r (dr/dt)
Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;
dS/dt = 4π × 2(4)(-2)
dS/dt = -64π
Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.
To learn more about surface area, click here:
https://brainly.com/question/5520638
#SPJ4
Person who gets it correct wins brainliest! This is due is 2 minutes! Question is in the screenshot. QUESTION 2!
Answer:
Step-by-step explanation:
Cubic centimeters is multiplying by another dimension which means volume. Squared centimeters means area.
A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehicle be worth 54 month after the purchased date?
Ayúdeme es urgente .por favor
Y=5x
A proportional relationship
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Question 24
1 pts
Points M(-2,3) and N(-4,-1) are plotted on a graph.
They are rotated 180 degrees about the origin, what are the new coordinates of M and N?
M(2,-3) and N(4,1)
M(4,1) and N(2,-3)
M(2.3) and N(4,-1)
OM(4-1) and N(2,3)
Answer: A M (2,-3) and N ( 4,1)
Step-by-step explanation:
(-2, 3) after a 180 degrees rotation the coordinates will be in the fourth quadrant (2,-3) and the y coordinate is always negative in the fourth quadrant.
(-4,1) after a 180 degrees rotation the coordinates will be in the first quadrant (4,1) and all the coordinates will be positive.
show that x²-8x+20 can be written in the form (x-a)²+a where a is an integer
Answer:
x² - 8x + 20
= x²- 2*4*x + 16 + 4
= x²- 2*4*x + 4² + 4
= (x - 4)² + 4
= (x - a)² + a, with a = 4
Hope this helps!
I need help with this please!
Answer:
"Certain" Maby I dont know