Answer:
(- 5, 6 )
Step-by-step explanation:
- x + 4y = 29 → (1)
6x + 2y = - 18 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate y
- 12x - 4y = 36 → (3)
add (1) and (3) term by term to eliminate y
(- x - 12x) + (4y - 4y) = 29 + 36
- 13x + 0 = 65
- 13x = 65 ( divide both sides by - 13 )
x = - 5
substitute x = - 5 into either of the 2 equations and solve for y
substituting into (1)
- (- 5) + 4y = 29
5 + 4y = 29 ( subtract 5 from both sides )
4y = 24 ( divide both sides by 4 )
y = 6
solution is (- 5, 6 )
Answer:
x=-5 and y=6
Step-by-step explanation:
1) Isolate one of the variables in one of the equations, this means put move all other terms to the other side. In this case, isolate the -x, and make you get -x=29-4y.
2) Since -x is negative, we need to make it positive. We can do this by multiplying the entire equation by -1. The equation is now x=4y-29.
3) We can now use the substitution method. Do this by inserting the value of x in the first equation into the second one. We get 6(4y-29)+2y=-18.
4) Next, we can use the distributive property to simplify the equation. We do this by multiplying the 6 by the parentheses. We get 24y-174+2y=-18.
5) We can combine like terms, in this case, the y value to make the equation simpler. We get 26y-174=-18.
6) Next, solve the equation for y, we need to add 174 to cancel it out on one side and put it to the other. Then we divide by 26 to isolate and solve for y. We get y=6.
7) The last step is to solve for x. We do this by applying the value of y, which is 6 to the value of x in the first equation. We get x=4(6)-29. After simplifying the equation you get x=-5.
I hope this helps :)
In making a dot plot for the data set, how would you scale the number line?Data set: 10, 8, 8, 15, 12, 14, 12, 14, 10, 10, 8A)8 to 14 in increments of 1B)8 to 15 in increments of 1C)0 to 15 in increments of 1D)0 to 15 in increments of3
Arranging the data set in increasing order:
8, 8, 8, 10, 10, 10, 12, 12, 14, 14, 15
We have to have plots at each of these unique numbers.
So,
We will make the dot plot from 8 to 15 and basically have increments of 1.
B is the correct choice.
who led the women rights movemnt during the Industrial Revoultion in Britain?
Answer:
Elizibeth Cady Stanton
Step-by-step explanation:
Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.
Answer: I think it's Elizabeth Cady Stanton
Step-by-step explanation:
Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.
8. A school official calculated that the school bus arrives by 8 a.m. 90% of the time. If the
bus runs 200 days, on how many days can the school official expect it to arrive after
8 a.m.?
Answer:
20 days of the 200 total days
Step-by-step explanation:
1. 200/100=2
2. 2x90=180
3. 200-180=20
8. [5 pts) How many permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 are such that 2 and 4 occur before 6, and 4 occurs before 8. ("Before" does not mean "immediately before": examples of permutations that count: 1435269807 and 7541829063.)
There are 1,411,200 permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 that satisfy the given conditions.
Step 1: Decide where the numbers 2, 4, 6, and 8 will go.
Using the provided digits, we must select 4 of the 10 locations that are accessible. Moreover, we must make sure that 2 and 4 come before 6 and that 4 comes before 8. This is what we can do:
Among the 10 possible spots, pick two (in any sequence) for the digits 2 and 4. There are ten possible approaches—pick two.
After selecting the spots for the numbers 2 and 4, choose one of the remaining 8 slots for the digit 6.
There are eight options from which to pick.
Among the remaining 7 spots after the one you choose for the number 4, pick one for the numeral 8.
This can be done in 7 choose 1 ways.
Step 2: Arrange the remaining digits.
We are left with the digits 0, 1, 3, 5, 7, and 9, which need to be arranged in the remaining 6 positions. This can be done in 6! ways.
Step 3: Multiply the results from Step 1 and Step 2 to get the total number of permutations.
The total number of permutations is the product of the results from Step 1 and Step 2:
Number of permutations = (10 choose 2) x (8 choose 1) x (7 choose 1) x 6! = 45 x 8 x 7 x 720 = 1,411,200
Therefore, there are 1,411,200 permutations of the decimal digits 0,1,2,3,4,5,6,7,8,9 that satisfy the given conditions.
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SALES A daily newspaper had 12,125 subscribers when it began publication. Five years later it had 10,100 subscribers. What is the average yearly rate of change in the number of subscribers for the five-year period?
Answer:
The average change is 405
Step-by-step explanation:
The initially the number of subscriber = 12125
After five years the number of subscriber = 10100
Now we have to find the average change in the number of subscribers.
The average yearly change = change in subscriber/number of years.
Now insert the values in the above formula.
The average yearly change = (12125 – 10100) / 5
The average yearly change = 2025/5
The average yearly change = 405
Answer: The average change is -405
Step-by-step explanation:just did the homework
Rewrite the exponential model as a logarithmic model that calculates the number of years, , for the number of infected trees to reach a value of x. enter the correct answer in the box.
The exponential model as a logarithmic model that calculates the number of years, for the number of infected trees to reach a value of x, The logarithmic model is: g(x) = In x/0.4
We are given that there is an exponential function, for the amount of infected trees f(x) after x years.
We have to find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.
The original function is: y = f(x) = eˣ
to find the inverse function, first, we exchange y and x, so:
= x
Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So:
In e⁰⁴y = In x
0.4y = In x
y = In x/0.4
Thus, the logarithmic model is:
g(x) = In x/0.4
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HELP PLEASE ASAP WILL GIVE BRAINLIEST
Farmer Hopt started with some alabers on her farm. She had 90 alabers after 5 months. After 16 months, she had 167 alabers. Assume a constant rate of change.
Write an equation in slope-intercept form for total alabers, y, after x months.
Answer:
\(y= 11x+35\)
Step-by-step explanation:
Let's find the slope first. It took hopt 11 months (from 5 to 16) to grow 77 trees. It means that each month he grew \(\frac{77}{11} = 7\) trees.
At this point you can use the point-slope form and re-write the equation or, let's think about it. It's a direct proportion. If at month 5 she has 90 trees, one month earlier she had 11 less. two month earlier, 22 less. 5 month earlier, or at x = 0 (ie, our intercept!) she had 55 less trees, or 90-55 = 35 trees
The equation is then \(y= 11x+35\)
a staright line has equation 3y-3x=4. Write down the equation of another straight line parallel to it.
Answer:
Step-by-step explanation:
1 Factor out the common term 33.
3(y-x)=4.
3(y−x)=4.
2 Divide both sides by 33.
y-x=\frac{4.}{3}
y−x=
3
4.
3 Subtract yy from both sides.
-x=\frac{4.}{3}-y
−x=
3
4.
−y
4 Multiply both sides by -1−1.
x=-\frac{4.}{3}+y
x=−
3
4.
+y
5 Regroup terms.
x=y-\frac{4.}{3}
x=y−
3
4.
Samantha wants to wrap this unassembled box with paper. The base of the box measures 3 inches by 6 inches. When the box is assembled it measures 9 inches tall. If Samantha wraps the box with paper, how many square inches will she need?
Answer:
198 in.^2
Step-by-step explanation:
You need the area of the net that is shown.
The long horizontal rectangle made up of 4 smaller rectangles has length 3 in. + 9 in. + 3 in. + 9 in. = 24 in. Its width is 6 in.
Then there are two congruent rectangles with length 9 in. and width 3 in.
area of rectangle = length * width
total area = 24 in. * 6 in. + 2 * 9 in. * 3 in.
total area = 198 in.^2
Find the reciprocal
(Urgent!!)
Answer:
1) 2
2) \(\frac{3}{2}\) or \(1\frac{1}{2}\)
3) 5
4) 3
5) \(\frac{5}{3}\) or \(1\frac{2}{3}\)
6) \(\frac{4}{5}\)
7) \(\frac{5}{2}\) or \(2\frac{1}{2}\)
8) \(\frac{7}{3}\) or \(2\frac{1}{3}\)
9) \(\frac{2}{3}\)
Step-by-step explanation:
The reciprocal is the fraction flipped. To make sure it is a reciprocal though, multiply the original and the reciprocal. If it is the correct reciprocal, you will get 1 as your answer.
Hope it helps!
What’s 1.89207115 in its simplest form
1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument \("2x + 3 = 9"\) asserts that the phrase\("2x + 3"\) equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation \("x^2 + 2x - 3 = 0.\)" Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.
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does anyone know this one
Answer:
x + 3y = 14
-4 + 3y = 14
+4 +4
3y = 18
y = 6
Please help I’ll give Brainliest
Answer:
b- g(x)=7x+9
Step-by-step explanation:
the vertical compress is the slope so m
and the shifts up 9 is the y-intercept
hope this helps :)
15. Which of the following systems has no solution?
A. 3x – 2y = - 16x – 4y = 6
B. -x + y = 12x – 3y = 4
C. 4x + y = 7x + 4y = 4
D. 3x – 4y = 2 - 2x + 4y = 9
Answer:
A. has no solution
Step-by-step explanation:
if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =
The value of the union of sets A and B is, P(A ∪ B) is 0.64.
The union of two sets means the total elements in both the sets combined.
Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57
We need to find the union of P(A ∪ B).
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let us substitute the given values in the formula.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=0.38+0.83-0.57
=1.21-0.57
=0.64
Therefore, the value of union of sets P(A ∪ B) is 0.64.
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Would f(x) be the answer for both and how do you graph the g(x) table graph. What I have to solve for is on top in bold. I am asking for number 12
Algerba 1
The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
We have,
Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.
The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
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complete question:
Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented
by the thin curve.
1) Describe the
translation of the parent
graph.
2) How does the translation relate to the equation?
If y=4 when x=2 find y when x=16
Answer:
y will be 8??
Step-by-step explanation:
y = 8 x= 16
Answer:
I am going to assume that "y" varies directly as "x."
y = kx
4 = k(2)
2 = k
y = kx
y = 2(16)
y = 32
Step-by-step explanation:
There ya go. :)
b) Sanjit reads 3 books in 1 week.
Express as a unit rate and explain
We can write this as:
3 books / 1 week
This tells us that Sanjit reads 3 books per week.
Let's say he read for 3 weeks, we would multiply to find the number of books he read.
3 * 3 = 9 books
So, Sanjit can read 3 books in 1 week.
Best of Luck!
Answer:
3 books/1 week
Step-by-step explanation:
3 books
------------
1 week
Use the following statement to answer questions 10-16.
If a number is greater than -500, then the number is greater than 500.
Determine the truth value of the conditional statement. Explain.
The truth value of the conditional statement is false
How to determine the truth value of the conditional statement?
The conditional statement is given as
“If a number is greater than -500, then the number is greater than 500.”
The above conditional statement is false
This is because not all numbers greater than -500 are greater than 500
for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.
Hence, the truth value of the conditional statement is false
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A coordinate plane.
Which expression could help you find the distance between (10, 4) and (–6, 4)?
Answer:
\(\displaystyle d = 16\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (10, 4)
Point (-6, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(-6-10)^2+(4-4)^2}\)[√Radical] (Parenthesis) Subtract: \(\displaystyle d = \sqrt{(-16)^2+(0)^2}\)[√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{256}\)[√Radical] Evaluate: \(\displaystyle d = 16\)What is the value of y in this system of equation? -6x+2y=-18 -3x-2y=54
Answer:
Y= -21
Step-by-step explanation:
Evaluate 4/x for x = -2/3
4/x where x= -2/3
4/(-2/3)
(4/1) / (-2/3)
(4/1) * (3/-2)
12/-2
-6
Hope this helps! :)
David spent 3 hours doing his homework on Monday. Which equation should be used to find h, the percent of the day he spent doing homework on Monday?
The equation to represent the percent h the day he spent doing homework on Monday is \(\frac{h}{100} = \frac{3}{24}\)
How to find the equation to represent the percent of the day he spent doing homework on Monday?David spent 3 hours doing his homework on Monday. The equation that can be used to find h, the percent of the day he spent doing homework on Monday can be found as follows:
We have 24 hours in a day. So, on Monday she uses 3 hours for her homework.
Therefore, the equation to represent the percentage h is as follows:
h = 3 / 24 × 100
h = 300 / 24
24h = 300
h = 300 / 24
h = 12.5%
Hence, the equation is as follows;
\(\frac{h}{100} = \frac{3}{24}\)
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Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
$3,000Step-by-step explanation:
This problem is based on compound interest, and the expression for the compound interest is given as
Given Data
A = final amount = ?
P = initial principal balance = $2,500
r = interest rate = 2.1%= 0.021
t = number of time periods elapsed= 14 years
Substituting our data into the compound interest formula we can solve for the final amount
\(A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\\)
Hence to the nearest hundred we have the account balance has $3,000
Answer:3400
Step-by-step explanation:
A translation moves P(0,5) to P'(3,1). What are the coordinates of the image
of point (-3,-5) under the same translation?
Answer:
xxxxxxzzzjjznzjsbsbsbshj
Step-by-step explanation:
sekjxhxjdjdknxxbbxjdkekmdkdkddo
A wall is 8 m long, 4 m high, and 22.5 cm thick. How many bricks of length 25 cm, breadth 12.5
cm, and 8 cm high are needed to build the wall?
Answer:
The answer is 2880 I might be wrong
What is the surface area? I got 136 I needed someone to check it since I’m not sure
Answer:
also got 136 its right
Step-by-step explanation:
If an estimator of the slope is unbiased, then when we calculate that estimate from a sample, it means: Group of answer choices The expected value of the estimator over many random samples would be equal to the true population slope. every sample estimate will be exactly equal to the population slope the sample estimate is always the true population slope every sample estimate will be very close to the population slope
The expected value of the estimator over many random samples would be equal to the true population slope.
As per the definition of the unbiased estimator, we know that the estimator is said to be unbiased if the expected value of the estimator is equal to the population parameter. This means the expected value of the estimator over many random samples would be equal to the true population slope.
In probability theory, the expected value (also called expected value, expected value, mathematical expected value, mean, mean, or first moment) is a generalization of weighted average. Informally, the expected value is the arithmetic mean of a large number of independently selected random variables.
To find the expected value E(X) or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X) = μ = ∑ x P(x).
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please solve for the correct answer. thank you! :)
Answer:
The first: y = -25x + 180Step-by-step explanation:
In every equation b = 170, so
The equation is y =mx + 170
On the line on the graph, for x=2 we have y = 120,so:
120 = m×2 + 170
-50 = 2m
m = 25
Therefore the equation is:
y = -25x + 180
Find the find the area and the circumference of the circle round your answer to the nearest hundredth
Answer:
area = 452.39 square units
circumference = 75.40 square units
Step-by-step explanation:
area = \(\pi r^{2}\)
r = 12
452.389
circumference = \(\pi *d\)
d = 2r
r = 12
d = 24
75.398