The solution of the algebraic equation is n = (3-4c)/p
How to solve for N?
An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter
Given: -np-5=4(c-2)
-np-5 = 4(c-2)
Expand the bracket:
-np-5 = 4c-8
Collect like terms:
-np = 4c-8+5
-np = 4c-3
Divide both sides by -p:
n = -(4c-3)/p
n = (-4c+3)/p = (3-4c)/p
Thus, the solution is n = (3-4c)/p
Learn more about algebraic expression on:
brainly.com/question/4344214
#SPJ1
What is the length of the missing side of the triangle below to the nearest tenth of a centimeter?
4^2 + 6^2 = C^2
Answer:
7.2 cm
Step-by-step explanation:
You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.
SolutionSimplifying gives ...
4^2 + 6^2 = C^2
16 +36 = C^2 = 52
C = √52 ≈ 7.2
The length of the missing side is about 7.2 cm.
Do not understand this question
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
How many different ways can the 11 letters in
the word PROBABILITY be arranged?
Answer: 1
Step-by-step explanation:
A contractor is building a new subdivision. A rectangular piece of land for a new house and yard
is 60 feet wide. The length of the land is longer than the width by a distance of n feet. Which
equation represents the area of the land?
OAA = 3,600 + 60m
OB A = 60n
OC A = 3,600+ n
OD. A = 240 + 2n
The area of the land is 3600 + 60n.
What is area?
Area is a mathematical concept that expresses the size of a region on a plane or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Given: A contractor is building a new subdivision.
A rectangular piece of land for a new house and yard is 60 feet wide.
The length of the land is longer than the width by a distance of n feet.
So, width = 60 feet
and length = 60 + n feet
Since, the area of rectangular piece of land (A)
Area = length x width
Area = (60 + n) x 60
Area = 3600 + 60n
Hence, the area of the land is 3600 + 60n.
To know more about Area, click on the link
https://brainly.com/question/25292087
#SPJ1
Find the measure of one exterior angle in each regular polygon. Round your answer to the
nearest tenth if necessary.
3)
45°
27.7°
51.4°
Sean is drawing a triangle with side lengths of 8 cm, 10 cm, and 20 cm and angle measurements of 40 °, 60°, and 80°. Which statement BEST describes Sean's triangle?
The statement that best describes the type of triangle is;
The triangle is a scalene triangle and also an acute triangle.
What is the type of triangle?Triangles could be classified based on their interior angles or even the number of equal sides of the triangle. Thus;
A triangle is called an acute triangle if all three angles are less than 90°
A triangle is called a right triangle if one angle is 90°
A triangle is called an obtuse triangle if one angle is greater than 90°
A triangle is called an Equilateral triangle if all three sides are the same length
A triangle is called an Isosceles triangle if two sides are the same length
A triangle is called a Scalene triangle if all three sides are of different lengths.
We are given the three angles of the triangle as; 40 °, 60°, and 80°.
Likewise we are given the length of the three sides as 8 cm, 10 cm, and 20 cm.
Since none of the angles nor sides are equal nor 90 degrees, then we can call this a scalene triangle. It can also be classified as an acute angle as all three angles are less than 90 degrees.
Read more about types of triangles at; https://brainly.com/question/1058720
#SPJ1
Which coordinates are the best estimate of the solution to the system of equations. -3x+y=2 -4x+7y=1
The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).
What is linear equations?A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Given:
as x,y are variables,
-3x + y = 2 ..............(1)
- 4x + 7y = 1 ...........(2)
We know that,
The solution of the system of linear equations is the intersection point of both graphs
Multiply equation (1) by 7 on both sides and then subtract it from eq (2)
- 4x + 7y = 1 ...........(2)
-21x + 7y = 14 ..............(1)
⇒- 17 x = -13
⇒ 17 x = 13
⇒ x =[tex]\frac{13}{17}[/tex]
⇒ x = 0.76
Now on putting value of x = 0.76 in eq (1) we get
- 3x + y = 2 ............ (1)
⇒- 3(0.76) + y = 2
⇒y = 4.30
The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).
To know more about linear equations visit:
https://brainly.com/question/7129586
#SPJ1
i need help divided 4/7 by 3
Answer:
0.1904
Step-by-step explanation:
4/7 ÷ 3 is = 0.1904
Answer: I hope this helps
Step-by-step explanation:
4/7 divided by 3
Dividing is equivalent to multiplying by the reciprocal
4/7 times 1/3 or 4/7•1/3
Multiply the fractions
And you get
4/21 or 0.190476
write the mixed number as an improper fraction
Answer:
[tex]\frac{19}{6}[/tex]
Step-by-step explanation:
3[tex]\frac{1}6}[/tex]
[tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex] [tex]\frac{6}{6}[/tex] is another name for 1 How many 6th's do we have?
[tex]\frac{19}{6}[/tex]
Please help and explain this simple mathematics to me.
Thank you
I'll go over problem 9 part (a) to get you started.
The sine rule, aka law of sines, is this
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}[/tex]
where the uppercase letters A,B,C are the angles and the lowercase letters a,b,c are the sides opposite those respective angles. Eg: angle B is opposite side b.
Some textbooks may have the lowercase letters up top, but it doesn't matter since it's the same ratio. All that matters is things stay consistent. The lowercase letters must be together on the same level, and same goes for the uppercase letters on their own separate level.
We can then break up that equation into these 3 separate equations, to make things more bite-sized so to speak.
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\[/tex]
Let's focus on the 3rd equation and do a bit of algebraic manipulation like so
[tex]\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\\sin(A) = \frac{a\sin(C)}{c}\\\\\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\[/tex]
Through similar steps, we can say:
[tex]\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\sin(B) = \frac{b\sin(C)}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]
-------------------------------------------
To summarize the previous section, we found that:
[tex]\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]
It then allows us to do the following steps for problem 9, part (a)
[tex]\frac{a+b}{c} = \frac{\sin(A)+\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{\sin(A)}{\sin(C)}+\frac{\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{a}{c}+\frac{b}{c}\\\\\frac{a+b}{c} = \frac{a+b}{c}\\\\[/tex]
We have confirmed that the equation in problem 9 part (a) is indeed an identity. Take note how I kept the left hand side the same the entire time while the right hand side transformed into the left side.
Similar steps will be taken for problem 9, part (b). I'll let you do that part.
I need help with my Geo hw!-
Answer:
listed below
Step-by-step explanation:
5.) x=77 and y=63
6.)y=60 and x= 1230
7.)y=65 and x=92
8.)y=69 and x=175
The distances between Dry Gulch, Wet Creek, and Soggy River can be represented by a triangle.
The distance between Dry Gulch and Wet Creek is 530 miles and the distance between Dry Gulch and Soggy River is 721 miles. Circle ALL the possible distances below between Wet Creek and Soggy River: SHOW YOUR WORK
The distance between Wet Creek and Soggy will be 894.03 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.
The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.
The distance between Wet Creek and Soggy will be given as,
d² = 530² + 721²
d² = 280,900 + 518,400
d² = 799,300
d = 894.03 miles
The distance between Wet River and Soaked will be 894.03 miles.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ1
1.
Kim's age to her sister's age, you get 36. How old is each
Kim's age is twice that of her sister. When you add
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Sister's age will be equal to 12 and Kim's age is 24.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Consider that x is sister's age, Kim's age is twice that of her sister
Thus Kim's age = 2x
Kim’s age + Sister’s age = 36
The equation:
x + 2x = 36
Now solve the equation;
x + 2x = 36
3x = 36
x = 36 / 3
x = 12
Therefore, Kim's age = 2x = 2(12) = 24
Hence, Sister's age is 12 and Kim's age is 24.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1
it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
For more question on Polynomial Time algorithm
https://brainly.com/question/8927262
#SPJ4
Which of the following is an example of a combination?
O A. The number of ways 3 people can sit on a couch.
O B. Picking 4 sets of towels out of 20 different sets.
• C. The number of ways 12 picture frames can be arranged on a shelf.
• D. Selecting a first, second and third place winner at a beauty
competition.
Answer: A or D
Step-by-step explanation: It can be A. But it can also be D. I would try D tho because with D, your combining 3 people together.
Here is a linear equation: y= 1 4x+2. What is the x-intercept of the graph of the equation?
As per the linear equation, the x-intercept of the graph of the equation will be (-8, 0).
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the question,
The given equation is,
y= -1/4 x + 2
Now, let's take y = 0 for x- intercept,
So, the equation will be,
0 = 1/4x + 2
1/4x = -2
x= -8
The x-intercept is (-8, 0).
To know more about Slope:
https://brainly.com/question/3605446
#SPJ1
The question sees incomplete, your question may be:
Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
Which statement correctly applies mathematical reasoning to find the possible values for x in the equation x − 1.2 = 1.6 and you get this
Answer:
2.8
Step-by-step explanation:
x-1.2=1.6
x=1.2+1.6
x=2.8
Multiply 1 over 3 multiplied by 1 over 5 . (5 points) a negative 1 over 10 b negative 1 over 15 c 1 over 15 d 1 over 10
Answer:
c 1 over 15
Step-by-step explanation:
To multiply fractions, you can multiply the numerators (top parts) and multiply the denominators (bottom parts) separately.
1/3 * 1/5 = (1 * 1) / (3 * 5) = 1/15
"double check answer"
The number line below is divided into 4 equal parts. Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.
We can fill in the remaining fractions and percentages.
as
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
What is a number line?
A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.
The missing parts are
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
This is how we can fill in the remaining fractions and percentages.
To learn more about number lines, visit:
https://brainly.com/question/24644930
#SPJ1
A game show host is going to draw a random number from 1 to 10. If the number is odd, you win $17. If the number is even, you win nothing. If you play the game, what is the expected payoff?
Use a sign chart to solve the inequality. Express the solution in inequality notation and in interval notation. X2 - 5x - 36 < 0 The solution expressed in inequality notation is.
The solution in inequality notation and in interval notation is (-∞ . -√5]∪[√5,36)
The term inequality refers the a relationship between two expressions or values that are not equal to each other is called 'inequality.
Here we have given the inequality (x² - 5)/ (x - 36) < 0
And we need to find the solution in inequality notation and in interval notation.
In order to find the inequality notation, we have to solve the given inequality, then we get.
(x² - 5)/ (x - 36) < 0
(x² - 5) < 0
x² < 5
x < √5
While we looking into the inequality we must know that the denominator must not be 0.
So, the interval notation can be written as,
=> (-∞ . -√5]∪[√5,36)
To know more about Inequality here.
https://brainly.com/question/28823603
#SPJ4
List from least to greatest! ( WILL GIVE BRANILIST IF CORRECT)
Answer:
need the numbers to do it
Answer to this required:
Answer:
9
Step-by-step explanation:
3.4^0 = 1
9^1 = 9
1 * 9 = 9
Select all of the zero(s) of f(x)
Answer:
B, F
Step-by-step explanation:
[tex]2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4[/tex]
What is true about machine learning algorithms? A/Model is fitted using training dataset B/Performance of the model is assessed using test data C/Model is validated on validation dataset D/Model is calibrated on test dataset E/Validation dataset is used to minize model overfitting Select all what applies to traditional classification tree model: A/Group of answer choices B/Unsupervised learning method C/Requires categorical output(target) variable D/Does not require any output variables E/None of the above F/Supervised learning method
A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms
The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.
Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.
Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.
According to the question,
Option A and option E are correct about the machine learning algorithms
To know more about machine learning algorithms here
https://brainly.com/question/28391243
#SPJ4
Multiply.
17.22(−2.4)
Enter your answer in the box.
Answer:
-41.328
Step-by-step explanation:
Answer:
-41.328
Step-by-step explanation:
Addition multiplied by subtraction gets you subtraction. +-=-
so now, ()= multiplication
so now all you have to do is 17.22 times 2.4 which gets us 41.328
then, add the negative sign which gives you -41.328
yw :)
What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
The end behavior of the graph of the polynomial function:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
What is an end behavior?
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.
Here, we have
f(x) = –x⁵ + 9x⁴ – 18x³
F(x) is a fifth-degree (odd function ) with a negative leading coefficient
If the exponent is odd and the leading coefficient is negative then the end behavior is
As x approaches ∞, y approaches -∞
As you go on the right, f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left, f(x) goes up.
Hence, the end behavior of the graph of the polynomial function: As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
To learn more about the end behavior from the given link
https://brainly.com/question/27983072
#SPJ1
You are solving the equation √x+2= 12 and decide to start by squaring both sides. Which equation results if you
square both sides as your first step?
Ox+2=12
Ox+2=144
O² + 4 = 144
Oz² + 2x + 4 = 144
The equation that result if you square both sides of the equation √x+2 = 12 is x + 2 = 144.
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, the equation √x+2= 12 can be solved as follows;
The first step to solve the equation is by squaring both sides of the equation as follows:
√x+2 = 12
square both sides of the equation
Hence,
(√x+2)² = 12²
The square root will cancel the square on the left side of the equation. Therefore,
(√x+2)² = 12²
x + 2 = 12 × 12
Hence,
x + 2 = 144
learn more on equation here: https://brainly.com/question/15595229
#SPJ1
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.6, P(B) = 0.3, and P(C) = 0.1. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers2 (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers^2
Variance of customers who pay by card = 16
Mean number of customers = 20
Given that,
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with
P(A)=0.4,
P(B)=0.2,
and
P(C)=0.4
Because we are interested in whether or not a debit card was used, we can use the binomial distribution.
Let X= the number of customers who use a debit card.
Here, probability of customers who pay with debit card (or success) is
p=0.2
(a) Mean and variance of the number of customers who pay with a debit card:
The mean number of customers who pay with a debit card can be calculated as given below:
μ=np =100×0.2
=20
The variance of the number of customers who pay with a debit card can be calculated as given below:
σ²=np(1−p) =100×0.2(1−0.2)
=16
To learn more about mean and variance
https://brainly.com/question/15713524
#SPJ4
For rhombus LMNO, m∠LON = 102° and NP = 5 units.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Use the diagram of rhombus LMNO to find the missing measures.
The measure of ∠LPM is
°.
The measure of ∠PMN is
°.
The length of LN is
units.
the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
Define Rhombus.
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal.
For a Rhombus, LMNO
∠LON = 102°
NP = 5 units
By the properties of Rhombus, we know that
All sides of a rhombus are congruent (equal)
So, LM = MN = NO = OL
and
Opposite angles are equal and the opposite sides are parallel.
So, ∠LON = 102° = ∠LMN
Since Adjacent angles add up to 180°.
Therefore ∠L + ∠M = 180°
∠M + ∠N = 180°
∠N + ∠O = 180°
∠O + ∠L = 180°
So, ∠N = 180° - ∠O = 180° - 102° =78°
∠L = 180° - ∠O = 180° - 102° =78°
∠M = 180° - ∠L = 180° - 78° =102°
Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.
So, ∠LPM = ∠NP0 = ∠MPN = ∠LPO =90°
Thus, the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
Learn more about Rhombus properties by:
https://brainly.com/question/12189679
#SPJ1
Answer:
Lpm= 90
PMN=51
LN= 10
Step-by-step explanation: