Solve the system by substitution.
-5x+3y=2
Y=2x
Answer:
2 is the required answer.
Step-by-step explanation:
Solution:
Given:
-5x+3y=2..............(i)
Putting the value of y=2x in the equation (i); we get:
i.e -5x+3×2x=2
or, -5x+6x=2
or, x=2
i.e. x=2
y=2x=2×2=4
Find the product of smallest natural number and the smallest whole number , 보라해
Answer:
smallest whole number is 0 so product of 0 is 0
smallest natural number is 1 so product of 1 is 1
Find the sum of 6x2 + 10x – 1 and 45x2 – 2x + 1.
Answer:
51x² + 8x
Step-by-step explanation:
Step 1: Write expression
6x² + 10x - 1 + 45x² - 2x + 1
Step 2: Combine like terms (x²)
51x² + 10x - 1 - 2x + 1
Step 3: Combine like terms 9x)
51x² + 8x - 1 + 1
Step 4: Combine like terms (constants)
51x² + 8x
Helpppppppppppp!!!!!!!!!
If you apply the changes below to the absolute value parent function f(x) = |x|, which of these is the equation of the new function
• shift 4 units to the left
• shift 6 units up .
Answer: D
Step-by-step explanation:
Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.
You can apply the same logic to get the + 6
What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
2-11 Unit Rates
Part 1 of 3
Due 11/1
Challenge An arts academy repares there to be 4 teachers for every 60 students and 6 tutors for every 48 students. How many students does the academy heve per teacher? Por tudor? How many
tutors does the academy need if it has 00 students?
There are total 15 students per teacher and 8 students per tutor. For 100 students, total 13 tutors are required.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given data provided in the question,
4 teachers = 60 students
For 1 teacher = 60/4 = 15 students
Similarly,
6 tutors = 48 students
For 1 tutor = 48/6 = 8 students.
For total 100 students, total number of tutors = 100/8
= 12.5 or 13 tutors are required.
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Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit
entry code. How many different combinations are possible, if the digits can be repeated?
O 27
O 30
O 729
O 1,000
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
At a real estate agency, an agent sold a house for $361,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$23,465
$4,693
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
6.5% of $361,000 = 0.065 × $361,000 = $23,465
20% of $23,465 = 0.2 × $23,425 = $4,693
How can I solve this? Thank you in advance!!
One number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability that the selected number is an odd number or a multiple of 3.
Answer:
The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
The absolute value function that matches the graph is given as follows:
y = -|x + 1| + 1.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex in this problem are given as follows:
(-1, 1).
Hence:
y = a|x + 1| + 1.
The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:
a = -1.
Thus the function is:
y = -|x + 1| + 1.
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Please Help
8x + 1
115⁰
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
6? I'm not sure honestly
Answer:
the legth is 6 and the weigh is 10
Step-by-step explanation:
because it is twice as big
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
Please someone help!!!
Answer:
Step-by-step explanation:
A, B and C must be real numbers, and A and B are not both zero (which would cause division by zero in the calculation of the slope).
Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
find the vertex form f(x)=x2 + 4x)-1
Answer:
(2,-5)
Step-by-step explanation:
Linda bought 14 souvenirs during 7 days of vacation. How many days will Linda have to
spend on vacation before she will have bought a total of 20 souvenirs? Assume the
relationship is directly proportional.
days
Answer:
10
Step-by-step explanation:
A sporting goods store specializes in mountain bikes. Each week, two dozen mountain bikes are randomly selected from the store's warehouse
to undergo a performance test.
What is the population for the performance test?
Answer:
Step-by-step explanation:
i hope this help
The population the all of the mountain bikes in the store's warehouse option (B) is correct.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Each week, two dozen mountain bikes are randomly selected from the store's warehouse to, undergo a performance test.
A sporting goods store may have more than two dozen mountain bikes and each week, two dozen mountain bikes are randomly selected from that store.
Here the two dozen mountain bikes are the sample of the given data, and the population is all of the mountain bikes in the store's warehouse.
Thus, the population the all of the mountain bikes in the store's warehouse option (B) is correct.
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Amir bought a camera 5 year ago for RM1500. He plans to sell his camera at a price of RM1800. What percentage of the profit or loss?
Answer:
20%
Step-by-step explanation:
Given that,
Initial price = 1500
Final price = 1800
We need to find the percentage of the profit or loss. As SP is more than Cp, he will have profit. The profit percentage is given by :
\(\%=\dfrac{1800-1500}{1500}\times 100\\\\=20\%\)
So, the required percentage is 20%.
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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find the value of x
Therefore, the value of x in the right triangle is 24 cm.
What is triangle?A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.
Here,
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.
Using the Pythagorean Theorem, we can find the missing length x:
a² + b² = c²
where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.
In this case, a = 7 cm, b = x, and c = 25 cm.
Substituting these values into the Pythagorean Theorem, we get:
7² + x² = 25²
49 + x² = 625
x² = 625 - 49
x² = 576
x = √576
x = 24
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It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism?
Answer: It takes 64 – ¼ inch cubes to fill one unit cube. The right rectangular prism can be filled with ¼ inch cubes. It takes 9 x 2 x 4 cubes to fill this right rectangular prism. It takes 72 – ¼ inch cubes to fill this right rectangular prism.
Step-by-step explanation:
prove or disprove each statement (a) if n is an even integer, then (b) if n is an odd integer, then solution (c) for any real number x, .
Statement (a) is true, statement (b) is false, and statement (c) is true.
To answer this question, we will analyze each statement and determine whether it is true or false.
(a) If n is an even integer, then n^2 is also even.
This statement is true. If n is an even integer, then it can be written as 2k for some integer k. Therefore, n^2 = (2k)^2 = 4k^2, which is also an even integer.
(b) If n is an odd integer, then n^2 is also odd.
This statement is false. If n is an odd integer, then it can be written as 2k+1 for some integer k. Therefore, n^2 = (2k+1)^2 = 4k^2 + 4k + 1, which is an odd integer.
(c) For any real number x, x^2 >= 0.
This statement is true. The square of any real number is always non-negative. This can be seen by the fact that (x)^2 = x*x, and the product of two real numbers with the same sign is always positive. Therefore, x^2 >= 0 for any real number x.
In conclusion, statement (a) is true, statement (b) is false, and statement (c) is true.
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242. ___________ statistics summarize numbers and _____________ statistics determine whether the results are significant.
Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.
Descriptive statistics are used to summarize and describe a set of data. They include measures such as the mean, median, and standard deviation, which provide information about the central tendency and spread of the data.
Inferential statistics, on the other hand, are used to draw conclusions about a population based on a sample of data. They include tests such as the t-test and ANOVA, which are used to determine whether the results of a study are statistically significant, or whether they could have occurred by chance.
So, Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.
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52x16 please add explaining to show me how to do it
Answer: 832
Step-by-step explanation:
Below is how I solved it
You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!
2 x 6 = 12
2 x 10 = 20
6 x 50 = 300
50 x 10 = 500
500 + 300 + 20 + 12 = 832
52 x 16 = 832
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Natalie invested $40,000 in an account paying an interest rate of 8 % compounded
continuously. Mackenzie invested $40,000 in an account paying an interest rate of
9 % compounded daily. After 20 years, how much more money would Mackenzie
have in her account than Natalie, to the nearest dollar?
%
Answer:
8000
Step-by-step explanation:
Natalie
Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%
4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x
To get 8% and we get 3200 and multiply by 20 representing the yrs
3200 x 20 = 64k + 40+ = 104k
Mackenzie
40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest
400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k
112k - 104k = 8k
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
If these cylinders and prisms were broken into two separate groups, what would be an equivalent ratio to 8/2? i dont have much longer and btw it doesn't have a picture.
100 points?
The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.
We have,
Cylinder and prism.
Here we have to find the equivalent ratio to 8/2.
First simplifying the given ratio as
8/2
= (4 x 2)/2
= 4 /1
Now, some more ratios equivalent to 8/2.
1. 8/2 x 3/3 = 24/ 6
2. 8/2 x 4/4 = 32/8
3. 8/2 x 6/6= 48/12
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