Answer:
1. 1914 ÷ 7 = 273 R.3
2. 6365 ÷ 8 = 795 R.5
3. 7989 ÷ 2 = 3994 R.1
4. 5177 ÷ 7 = 739 R.4
5. 4178 ÷ 3 = 1392 R.2
6. 940 ÷ 9 = 104 R.4
7. 46 ÷ 3 = 15 R.1
8. 96935 ÷ 9 = 10770 R.5
9. 64 ÷ 3 = 21 R.1
10. 761 ÷ 3 = 253 R.2
What is the value of x? Show your work.
use the paste option to paste the content, including formulas, but none of the formatting into a worksheet.
What is this question I don't understand
A line has a slope of 1 and passes through the point (4, 20) . What is its equation in slope -intercept form?
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{20})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \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-\stackrel{y_1}{20}=\stackrel{m}{ 1}(x-\stackrel{x_1}{4}) \\\\\\ y-20=x-4\implies {\Large \begin{array}{llll} y=x+16 \end{array}}[/tex]
2. Paola's dog, Rex, dug holes in opposite corners of
Paola's rectangular yard. If the yard is 11 meters long and
4 meters wide, what is the distance between the holes?
17
4. Feng is designing the layout for his rectangular garde
The distance between holes is 11.7m
What is a diagonal?A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.
let x be the distance between opposite holes which is the diagonal of the rectangle.
so that,
x^2 = 11^2 + 4^2
x^2 = 121 + 16
x^2 = 137
x = [tex]\sqrt{137}[/tex]
x = 11.7km
In conclusion the distance between holes is 11.7km
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8. Divide-2x³-4x² + 3x + 2 by x-3. (1 point)
-2x²10x-27, R-79
-2x²10x-27
-2x²10x - 27, R 83
-2x²10x + 27, R 83
The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28
What does it mean to divide polynomials?A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.
How do you divide polynomials?Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).
Divide the divisor by the outcome you just got (the first term of the eventual quotient).
By following the above rules where
2x3-4x2+3x+2 is divided by the x-3, We get the following equation
where
quotient is 2x2+2x+10
and the remainder is 28
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PLEASE HELP!!! 50 points!!!!!!
System A:
5x + 3y = 2
4x + 3y = 1
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System B:
y = 5x + 8
y = 5x + 5
The system has no solution.
The system has a unique solution:
Equation:____________
The system has infinite solutions
System A: (1, -1)
System B: No solution
Answer:
System A
The system has a unique solution: x=1, y=-1
System B
The system has no solution
Step-by-step explanation:
System A
Use simultaneous equations to see if we can solve the system by multiplying the second equation by -1 and adding them together:
5x + 3y = 2
-4x - 3y = -1
We get (5-4)x+(3-3)y=(2-1), which simplifies to x=1
If x=1:
5+3y=2
3y=-3
y=-1
Since we have specific answers for x and y, we can say the system has a unique solution.
System B
If y is equal to both 5x+8 and 5x+5, that means
5x+8=5x+5
Subtracting 5x from both sides we get 8=5, which is illogical.
Therefore the system has no solution
A set of elementary school student heights are normally distributed with a mean of 105105105 centimeters and a standard deviation of 101010 centimeters. Ikue is an elementary school student with a height of 90. 490. 490, point, 4 centimeters. What proportion of student heights are lower than ikue's height?.
0.0721 proportion of the students in the class have a height less than Ikue's height.
Here, we are given that a set of elementary school student heights are normally distributed with a mean of 105 cm ⇒ μ = 105 and standard deviation 10 cm ⇒ σ = 10
The z score can be calculated using the formula-
Z = (X - μ) / σ
X is the observed value, here, X = 90.4
Since we need the proportion of student heights are lower than ikue's height, we look at the negative z score only.
Substituting the values in the z score formula we get-
Z = ( 90.4 - 105) / 10
Z = - 1.46
Now, from the z score tables, we see that the value of Z < -1.46 is 0.0721.
Thus, 0.0721 proportion of the students in the class have a height less than Ikue's height.
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6n squared -19n+10 can you please help me with factoring
Answer:
(2n -5)(3n -2)
Step-by-step explanation:
You want to factor 6n² -18n +10.
Sum and productYou want to start by finding factors of the product (6)(10), the first and last coefficients, that have a sum equal to -18, the linear term coefficient.
This sum is negative, but the product is positive, so both factors will be negative. Listing the smallest magnitude first, we have ...
60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)
The sums of these pairs are -61, -32, -23, -19, -17, -16. This identifies the pair of interest as (-4)(-15).
Final stepsFrom here, there are a couple of ways you can proceed. One is to write the linear term as a sum using these values:
6n² -4n -15n +10
Now, you can factor by grouping:
= (6n² -4n) -(15n -10)
= 2n(3n -2) -5(3n -2)
= (2n -5)(3n -2) . . . . . . . . the factorization you want
Another way you can do this is to write binomial factors using the leading coefficient for each one. The product of these must be divided by the leading coefficient for it to remain equal to the original trinomial.
= (6n -4)(6n -15)/6
The denominator of 6 is used to reduce each of the binomial factors.
[tex]=\dfrac{(6n-4)(6n-15)}{2\cdot3}=\dfrac{6n-4}{2}\cdot\dfrac{6n-15}{3}[/tex]
= (3n -2)(2n -5) . . . . . . . the factorization you want
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
8551.56
Step-by-step explanation:
[tex]A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56[/tex]
an object rolls without slipping onto a surface where the coefficient of friction between object and surface is twice as great as that needed to prevent slipping. part a describe the subsequent motion.
The object continues to roll without slipping, and the actual force of static friction stays constant.
What is static friction?A force that holds an object at rest is called static friction.
The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
The range of static friction is 0 to the minimum force required to initiate motion.
The following is the formula to determine static friction: Normal Force x Static Friction Coefficient = Static Friction.
So, in the given situation the object keeps rolling without slipping, and the static friction's actual force remains constant.
Therefore, the object continues to roll without slipping, and the actual force of static friction stays constant.
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Determine if the ordered triple is a solution to the system of equations.
1. 3x+4y-z=5. a) (-1, 2, 0)
5x-y + 3z=-7. b) (-2, -6, 3)
9x + 5y + 7z=-21
Please show step by step
Ordered triplet (-2, -6, 3) is the solution of the system of equations
3x+4y-z = 5
5x-y + 3z = -7
9x + 5y + 7z = -21
How to determine if an ordered triplet is solution to system of equations?
To determine if an ordered triplet is a solution to a system of three equations, we substitute the values of the variables into each equation. If the ordered triple makes all three equations true, it is a solution to the system.
According to the given question:
System of equations are
3x+4y-z = 5
5x-y + 3z = -7
9x + 5y + 7z = -21
Now, substituting (-1, 2, 0) in every equation to check if LHS = RHS for each.
1. 3x + 4y - z = 5
LHS = 3(-1) + 4(2) - 0 = -3 + 8 = 5 = RHS
2. 5x-y + 3z = -7
LHS = 5(-1) - 2 + 0 = - 5 -2 = -7 = RHS
3. 9x + 5y + 7z = -21
LHS = 9(-1) + 5(2) + 0 = -9 + 10 = 1 ≠ RHS
Therefore (-1, 2, 0) is not the solution for the system of equations.
Similarly substituting (-2, -6, 3) in every equation.
Clearly (-2, -6, 3) satisfies the system of equations.
Hence (-2, -6, 3) is the solution to the system of equations.
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A four-sided figure is resized to create a scaled copy. The lengths of its four
sides change as in the table below.
Original Figure Scaled Copy
36
45
54
8
10
12
Find the constant of proportionality from the original
figure to the scaled copy. Express your answer as a
fraction in reduced terms.
The proportionality constant from the original figure to the scaled copy is 2/9.
What is the proportionality constant?The constant of proportionality is the ratio between two given integers in what is known as a proportional relationship. The proportionality constant is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
We have here
To make a scaled duplicate, a four-sided figure is resized.
The proportionality constant from the original figure to the scaled copy is: 8/36 = 10/45 = 12/54 = 2/9.
As a result, the proportionality constant from the original figure to the scaled copy is 2/9.
Hence, the proportionality constant from the original figure to the scaled copy is 2/9.
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points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3. what are the coordinates of a'?
The coordinates of a' after scaling factor of 1/3 is a'(1,1).
Given:
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
Scale factor :
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
scale factor = 1/3
= (3*1/3 , 3*1/3)
= (3/3 , 3/3)
= (1,3/3)
= (1,3)
Therefore the coordinates of a'(1,1).
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calcule el valor de los materiales consumidos si una empresa al inicio de año tiene una existencia en almacen de 15,000 pesos. Durante el ejercicio realiza unas compras de 25,000 pesos. Al final del ejercicio quedan en el almacen existencias por 8,000 pesos
The final answer to this Problem is 32000 pesos.
What is Company?
A company is an organization that provides goods or services to its customers in exchange for money. Companies are typically formed by entrepreneurs or business owners who have a vision for a product or service they want to offer. The company is responsible for producing the product or service, marketing it, and then distributing and selling it to the public. Companies must also manage their finances and comply with any legal or regulatory requirements. Companies are typically owned by shareholders who reap the profits of the business. Successful companies often have a strong corporate culture that is reflected in their mission and values.
Pesos that initially was available = 15000 pesos
During year Pesos purchased by company = 25000 pesos
Total pesos at end of the year = 15000 + 25000 pesos = 40000 pesos
Total pesos remaining at end of year = 8000 pesos
Hence pesos consumed in the complete year = 40000 - 8000= 32000 pesos
Hence 32000 pesos are left in the company
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Which grade is best in school?
A (C)
B (A-)
C (A)
D(B+)
I think its B+ because B stands for Best, and the + equals means advanced best I got it wrong, please help.
Answer:
I didn't know kindergardeners had Brainly.
2n-15=-5n+4n
Thank You
Evaluate a+b+cd if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a fraction in simplest form
Answer:
-626.8
Step-by-step explanation:
78 -716 + (0.8)(14)
78 - 716 + 11.2
(78 -716) + 11.2
-638 + 11.2
-626.8
Vocabulary Use the terms divisor,
dividend, quotient, and remainder to
describe how to divide.
The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Vocabulary Use the terms divisor, dividend, quotient, and remainder.
Now,
If we have to find the divisor , then we can use the divide rule as;
⇒ Divisor = (Dividend - Remainder) / Quotient
Thus, The divide rule will be;
⇒ Divisor = (Dividend - Remainder) / Quotient
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Consider the discrete probability distribution to the right when answering the following question. Find the probability that x equals 5x2568P (x)0.16?0.30.21
In the discrete distribution the probability that x equals 5 is 0.51
A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum
The summation of the discrete probabilities must be always equal 1,
The probaility of 2 is 0.16
The probaility of 6 is 0.30
The probaility of 8 is 0.21
We need to find The probaility of 5
To find the probaility of 5, we can subtract the probaility of all other numbers from 5.
Probability (X = 5) = 1 - (0.25+0.16+0.08) = 0.51
Therefore, in the discrete probability distribution the probability that x equals 5 is 0.51
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An 80% confidence interval for a proportion is found to be (0. 27 , 0. 33). What is the sample proportion?
A. 0. 29
B. 0. 30
C. 0. 31
D. 0. 33
If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30
What do you understand by sample proportion?Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.
The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.
How to solve?
For this case the confidence interval is given by:
(0.27; 0.33)
We can find the estimaed proportion in the following way:
p = (0.27 + 0.33)/2 = 0.30
then the sample proportion would be 0.30
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9.
3/5
+
3
20
please answer
Answer:9/10
Step-by-step explanation:
make 3/4 equal to 3/20 by multiplying by 5
15/20 + 3/20 = 18/20
18/20 = 9/10
When a biased coin is thrown 3 times the probability of getting 3 tails is 27/125.
Using the binomial distribution, it is found that the probability of getting 3 heads from an biased coin is of 8/125
What do you understand by the binomial distribution formula?The probability that a variable would take one of two independent values under a certain set of constraints or assumptions is summarised by the binomial distribution, a probability distribution in statistics.
The basic assumptions of binomial distribution are that each trial has just one result, that each trial has the same chance of success, and that each trial is mutually exclusive or independent of the others.
The binomial distribution is a typical discrete distribution used in statistics, as opposed to a continuous distribution such as the normal distribution.
The formula is:
P(X=x)Cn,x.p^x.(1-p)^n-x
Cn,x = n!/z!(n-x)!
The parameters are:
x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.
In this problem, we have that when n = 3,P(X=3)=27/125 , hence:
p^3 =27/125
p=3/5
The probability of 3 heads is P(X = 0), hence:
P(X=x)=Cn,x.p^x.(1-p)^n-x = C3,0.(3/5)^0.(2/5)^3= 8/125
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Write an equation in point-slope form of the line that passes through the given point with the given slope.
(-3, -5); m = -2
Answer:
y+5 = -2(x+3)
Step-by-step explanation:
y-(-5) = -2(x-(-3)
y+5 = -2(x+3)
y +5 = -2x - 6
y = -2x - 6 - 5
y = -2x - 11
Sheila gained 20 pounds in 9 1/2
Months. Find Sheila’s rate of gaining weight in pounds per month
Answer:
About 2.1 pounds a month.
Step-by-step explanation:
In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.
to find the rate, we can do:
20/9.5
about 2.1
So, the answer will be:
about 2.1 pounds / month
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
129723
Explanation:
[tex]1800(1+0.13)^{35} \approx 129723[/tex]
write a division equation that has a solution of -9/14 .
The Division Equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].
What is Division Equation?
Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety.
For given solution i.e. -9/14, we can write division equation as follows,
[tex]\frac{-9* 2x}{14*2x}[/tex]
i.e. [tex]\frac{-18x}{28x}[/tex]
Hence, The division equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].
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The sum of two numbers is 33, and the sum of 7 times the first number and 5 times the second number is 197.
Answer: First number is 16, second number is 17.
Step-by-step explanation
16 + 17 = 33
16 x 7 = 112
17 x 5 = 85
112 + 85 = 197
Hi, i wa wondering if anyone could explain why -3^2 i -9, but (-3)^2 i 9. Int the anwer found through the ame proce?
Given two calculations are different.
What is a square of a number?
The square of any number can be calculated by multiplying the number by itself twice.
Let 'a' be any number then the square of this number 'a' will be
a² = a × a
Now - 3² = - (3) × (3)
= -9 ----------(I)
and (-3)² = (-3) × (-3)
= 9 ----------(II)
By observing (I) and (II) we can say that in the second case just because of the scope of brackets the square of -3 would result in 9.
But in the first case square of 3 would give 9 and because of the minus sign, it gave -9.
Hence, These two calculations are different.
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Use synthetic division to solve (2 x cubed + 4 x squared minus 35 x + 15) divided by (x minus 3). What is the quotient?.
The quotient is 2x² + 10x − 5, and the remainder is 0.
What is synthetic division?
Synthetic division is a method in algebra for manually performing Euclidean division of polynomials that requires less writing and fewer calculations than long division. It is typically taught for division by linear monic polynomials, but the method can be applied to any polynomial.
The given polynomial is (2x³ + 4x² - 35x + 15) and we have to divide this polynomial by (x - 3).
By using synthetic division
2x³ + 4x² - 35x + 15
Take the constant term of the divisor with the opposite sign and write it to the left
3 | [tex]x^3[/tex] [tex]x^2[/tex] [tex]x^1[/tex] [tex]x^0[/tex]
| 2 4 -35 15
----|----------------------------
Write down the first coefficient as it is
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
3 | 2 4 -35 15
| 3.2 = 6
----|----------------------------
2 10
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
3 | 2 4 -35 15
| 6 30
-----|----------------------------
2 10 -5
Again, we get
3 | 2 4 -35 15
| 6 30 -15
-----|----------------------------
2 10 -5 0
We have completed the table and have obtained the following resulting coefficients: 2,10,−5,0.
Thus, the quotient is 2x² + 10x − 5, and the remainder is 0.
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If θ i an angle in tandard poition and it terminal ide pae through the point (-9,-1), find the exact value of tan theta implet radical form
The exact value of tan(θ ) in simplest radical form is 1/9 .
What is the trigonometric ratio?
Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
(-9,-1), is a point with x= -9 = adjacent side, y= -1 = opposite side
tan(θ ) = opposite side/adjacent side = -1/-9 = 1/9
1/9 can't be simplified further
So, the exact value of tan(θ ) in simplest radical form is 1/9 .
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