Step-by-step explanation:
f(x) = (x+2)(2-1)
= x(2-1)+2(2-1)
= 2x-x + 4-2
= 2x - x + 2
Glen mixes red bricks with yellow bricks when building sides of a brick house. The ratio is 3 pieces of red brick for every 7 pieces of yellow brick. If there are 28 pieces of yellow brick, how many pieces of red brick will there be?
Answer:
12 red bricks
Step-by-step explanation:
Help fast please!!!!!
Answer:
your correct
Step-by-step explanation:
Answer:
your correct
Step-by-step explanation:
Name the marked angle in 2 different ways.
1) angle HJI
2) angle IJH
6 1 over 2 ft= pls help
Answer: Depends on the unit. IF INCHES: 6 1/2 = 78 Inches
Step-by-step explanation:
6.5 x 12 = 78
Please reply if not inches, I can try to help you after ^^
a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. a preliminary sample standard deviation is 1.5. the smallest sample size n that provides the desired accuracy is
The smallest sample size n that provides the desired accuracy is 10.
To find the smallest sample size n that provides the desired accuracy, we can use the formula:
n = (Z-value * standard deviation / margin of error)²
Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)
Substituting the values, we get:
n = (1.96 * 1.5 / 0.3)²
n = 9.8
Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:
n = 10
Therefore, the smallest sample size n that provides the desired accuracy is 10.
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Walt grew 10 centimeters in one year. He is now 1. 6 meters tall. How tall was Walt one year ago in centimeters?.
Answer:
1.5 meters tall / 150cm
Step-by-step explanation:
1.6 meters - 10cm
= 160 cm - 10cm
= 150cm
In the diagram below, the numbers in each box is the sum of two numbers below it. Work out the missing numbers for boxes A and B.
The value of the missing number in box A is \(1\frac{1}{2}\)
The value of the missing number in box B is \(7\frac{1}{4}\)
What are the missing numbers?In order to determine the value of A, subtract \(1\frac{1}{4}\) from \(2\frac{3}{4}\). Subtraction is the mathematical operation that is sued to determine the difference between two or more numbers
A = \(2\frac{3}{4}\) - \(1\frac{1}{4}\)
\(1\frac{3 - 1}{4}\) = 1 \(\frac{2}{4}\) = \(1\frac{1}{2}\)
In order to determine the value of B, add \(4\frac{1}{2}\) and \(2\frac{3}{4}\) together. Addition is the process used to determine the sum of two or more numbers.
B = \(4\frac{1}{2}\) + \(2\frac{3}{4}\)
\(6\frac{2 + 3}{4}\) = \(6\frac{5}{4}\) = \(7\frac{1}{4}\)
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Drag each title
Match the mortgage types with their descriptions
Each of the mortgage types should be matched with the correct description as follows:
Government insured: it requires the buyer to make a 20% down payment.Balloon mortgage: a large portion of principal is paid in a single payment at the end of the loan.Fixed rate: it has the same interest rate for the life span of the loan.Conventional: it requires a lower down payment and allows buyers to have a lower credit score.Hybrid: it initially has a fixed rate for three to five years and then adjusts at a predetermined time.Adjustable: it starts with a low interest rate and then adjusts throughout the duration of the loan.What is mortgage brokering?Mortgage brokering can be defined as a strategic process which typically involves a mortgage broker acting as an intermediary between a financial institution such as a mortgage bank that is offering loans and an individual that seeks to collect (obtain) this loan.
What are the types of mortgage?Generally speaking, there are different types of mortgage and these include the following:
Government insured mortgage.Balloon mortgage.Fixed rate.Conventional mortgage.Hybrid mortgage.Adjustable mortgage.In conclusion, a government insured mortgage is a type of mortgage that requires a buyer making a 20% down payment.
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Complete Question:
Match the mortgage types with their descriptions. it requires the buyer to make a 20% down payment. a large portion of principal is paid in a single payment at the end of the loan. it has the same interest rate for the life span of the loan. it requires a lower down payment and allows buyers to have a lower credit score. it initially has a fixed rate for three to five years and then adjusts at a predetermined time. it starts with a low interest rate and then adjusts throughout the duration of the loan.
what i 12 divided by 12,304 please ansere
Answer:
9.75 × 10^-4
Step-by-step explanation:
12 /12304
= 0.000975 = 9.75 × 10^-4
Three objective functions for linear programming problems are 7A+10B,6A+4B, and −4A+7B. Show the graph of each for objective function values equal to 420 .
Graph of each objective function using linear programming.
Here,
Putting the equation equal to 420 and plotting the graph by finding the value of A and By putting A=0 and finding B then putting B=0 and finging A.
For example putting A=0 in 7A+10B=420 will yield (0,42) and Putting B=0 will yield (60, 0). plotting theses points on graph and joining them to generated the line.
Repeating thin step for each objective function and plotting the graph.
7A + 10B = 420 is labelled as a.
6A+4B = 420 is labelled as b.
-4A + 7B = 420 is labelled as c .
The graph of each function is attached below.
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Rey’s cousins want to construct a playpen for her. After measuring the living room, they construct the rectangular playpen represented by the figure. If each square unit represents half a square foot, how much area does Rey have to play, in square feet?
Answer: ITS 10!!!!
Step-by-step explanation:
is 8.75x linear or non-linear
Find the degree of the equation to determine if linear.
Linear
Simplify 3⁸ x 3⁴/ 3² x 3⁸ leaving your answer in index form.
Answer:
3²
Step-by-step explanation:
3⁸ x 3⁴/ 3² x 3⁸
= 3⁴/ 3²
= 3 x 3 x 3 x 3 / 3 x 3
= 3 x 3
= 3²
Using determinant, find the area of the triangle whose vertices are :
(−3,5),(3,−6) and (7,2).
The area of the triangle whose vertices are (-3, 5), (3, -6), and (7, 2) is 14.
To find the area of a triangle given the coordinates of its vertices, we can use the formula:
Area = 1/2 * |(x1y2 + x2y3 + x3y1) - (y1x2 + y2x3 + y3x1)|
where (x1,y1), (x2,y2), and (x3,y3) are the coordinates of the three vertices.
Substituting the given coordinates, we get:
Area = 1/2 * |(-3*-6 + 32 + 75) - (5*3 - (-6)7 + 2(-3))|
= 1/2 * |(-18 + 6 + 35) - (15 + 42 - 6)|
= 1/2 * |23 - 51|
= 1/2 * |-28|
= 14
Therefore, the area of the triangle is 14 square units.
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the price of a widget was $745. over five years, the price dropped to $390. assume a linear trend. (a) find a linear model p
When a widget of price $745 dropped to $390 over five years, the linear trend of price can be expressed as y = -71x + 745, where y is the price of the widget and x is the number of years passed.
A linear trend implies the trend can be represented by a linear equation. The highest power of the variable in a linear equation is 1.
Let us say the trend is expressed as y = mx + c, where y is the price of the widget and x is the number of years passed.
Initially, that is when x = 0 the price is $745. Substituting this
745 = m × 0 + c
Therefore, c = 745.
Over 5 years, that is when x = 5 the price is $390. Substituting this
390 = m × 5 + 745
m = - (745 - 390)/ 5
m = -71
In the case of a widget whose price dropped from $745 to $390 over a period of five years, the linear price trend is given by y = -71x + 745, where y is the widget's price and x is the number of years that have passed.
Consequently, the solution is y = -71x + 745.
If a trend is linear, then a linear equation can be used to describe it. The maximum power of a variable in a linear equation is 1.
Let us imagine the trend is expressed as y = mx + c, where y is the price of the widget and x is the number of years elapsed.
In the beginning, when x = 0, the cost is $745. Replacing this
745 = m × 0 + c
C thus equals 745.
When x = 5, the cost is $390 over a 5-year period. Replacing this
390 = m × 5 + 745
m = - (745 - 390)/ 5
m = -71
Therefore, the answer is y = -71x + 745
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FILL IN THE BLANK. Two events are said to be ________ if they can not occur at the same time.Two events are said to be _______ if the occurrence of one does not influence the probability of occurrence for the other.
Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent if the occurrence of one does not influence the probability of occurrence for the other.
What are Independent events?
Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.
Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.
For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.
Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.
For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.
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What point a solution to the graph of y=-3x-4
Answer Choices
(-3,5)
(-2,3)
(1,-6)
(2,-9)
You can't tell the solutions from the graph.
an architects cWhat is the domain of this relation?
(12, 5)
(20, 0)
(20, 20)
(–13, 0)
Answer:
Domain { -13,12,20 }
Step-by-step explanation:
The domain is the input values
Domain { -13,12,20 }
We list them in order from smallest to largest and do not list repeats
Logarithm 6) If log 5 = A and log 3 = B, find the following in terms of A and B:
Given the following parameters:
log 5 = A
log 3 = B
According to the law of product and quotient of logarithm as shown:
\(\begin{gathered} \log AB=\log A+\log B \\ \log (\frac{A}{B})=\log A-\log B \\ \log A^b=b\log A \end{gathered}\)Applying the laws of logarithm in solving the given logarithm
\(\begin{gathered} a)\log 15 \\ =\log (5\times3) \\ =\log 5+\log 3 \\ =A+B \end{gathered}\)For the expression log(25/3)
\(\begin{gathered} b)\log (\frac{25}{3}) \\ =\log (\frac{5^2}{3}) \\ =\log 5^2-\log 3 \\ =2\log 5-\log 3 \\ =2A-B \end{gathered}\)For the expression log135
\(\begin{gathered} \log (135) \\ =\log (5\times27) \\ =\log (5^{}\times3^3) \\ =\log 5^{}+\log 3^3 \\ =\log 5+3\log 3 \\ =A+3B \end{gathered}\)For the expression log₅27
\(\begin{gathered} \log _527 \\ =\frac{\log 27}{\log 5} \\ =\frac{\log 3^3}{\log 5} \\ =\frac{3\log 3}{\log 5} \\ =\frac{3B}{A} \end{gathered}\)For the expression log₉625
\(\begin{gathered} \log _9625 \\ =\frac{\log 625}{\log 9} \\ =\frac{\log 5^4}{\log 3^2} \\ =\frac{4\log 5}{2\log 3} \\ =\frac{\cancel{4}^2A}{\cancel{2}B} \\ =\frac{2A}{B} \end{gathered}\)For the value of 15, this can be expressed as shown. Since:
\(\begin{gathered} \log 5=A;10^A=5 \\ \log 3=B;10^B=3^{} \end{gathered}\)Since 15 = 5 × 3, writing it in terms of A and B will be expressed as:
\(\begin{gathered} 15=5\times3 \\ 15=10^A\times10^B \\ 15=10^{A+B} \end{gathered}\)Need help with this!
Answer: x= 10
Step-by-step explanation:
Same side exterior angles sum to 180.
Using this axiom we can say that
142+ (3x+8) = 180
Add like terms on the left side
150+ 3x = 180
Subtract 150 from both sides
3x = 30
Divide both sides by 3
X= 10
Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall?
The horizontal distance between the base of the ladder and the wall is 12.6 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the distance between the base of the ladder and the wall.
Using trig ratio:
cos(61) = d/26
d = 12.6 feet
The horizontal distance between the base of the ladder and the wall is 12.6 feet.
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Which set of ordered pairs is a function?
{(-2,1),(-4, 2), (0, 3), (4,1),(-2,5)}
{(-1,5), (-1,4) (-1,3), (-1, 2), (-1,1)}
{(-6,-4), (-4,-2), (0,0).(-4, 2).(-6,4)}
{(-5,1). (-3, 2), (-1,3), (1,4), (3,5)}
Answer:
probbly {(-5,1). (-3, 2), (-1,3), (1,4), (3,5)}
Step-by-step explanation:
Venn Diagram 7th grade ( I NEEED HELP PLEASE)
Answer:
a= A∪B
b= A'
c= c
d= b
(II) 5= {2,3,4,5,6,7,8,9}
hope it helps!
From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.
Which relation is a function?
O A. {(-5, 4), (3, -2), (-2, 0), (8, -2)}
B. {(4, 6), (-1, -3), (4, -2), (3,5)}
C. {(6, 1), (3, 4), (5, 3), (6, 2)}
D. {(-4,-4), (2, -4), (7,3), (7, -1)}
HELP ME NOW I NEED HELP
Zeros:
x = -11
x = 11
Positive zero: 11
How do you solve for x in an angle?
To solve for x in an angle, you first need to identify what type of angle you are dealing with. Depending on the type of angle, you will use different formulas to solve for x. For example, if you are dealing with a right angle, you can use the Pythagorean Theorem to solve for x.
1. Identify the given information:-
First, identify the type of triangle and the angles that are given.
2. Use the appropriate formula:-
If it is a right triangle, use the Pythagorean Theorem to solve for the missing side. If it is an isosceles triangle, use the law of sines to solve for the missing angle.
3. Substitute the given values into the appropriate formula:-
Substitute the given values into the appropriate formula and simplify.
4. Solve for the unknown:-
Solve the equation for the unknown value (x).
5. Check your answer:-
Check your answer by plugging it back into the original equation to make sure it is correct.
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How do you find the vertex and y-intercept of a quadratic function
Answer:
The graph is a parabola that opens downward. Generally, a parabola has the following equation: y=ax2+bx+c If a is positive it opens upward
Recall from lecture the de-coupled RL-RC circuit (R
21
=[infinity]), where
x
˙
=Ax, and A is a 2×2 diagonal matrix with values A
11
and A
22
. What is the solution x
1
(t) if starting at t=0 ? Use "x10" for x
1
(0), "X20" for x
2
(0), and "A11" for A
11
etc. To denote e
x
, use "exp (x) ". Hint: for those in need of a refresher on ODEs, you might find this helpful.
The solution x1(t) for the de-coupled RL-RC circuit can be found by solving the differential equation x1'(t) = A11 * x1(t), where A11 is a constant value.
To solve this differential equation, we can use separation of variables.
1. Begin by separating the variables by moving all terms involving x1(t) to one side of the equation and all terms involving t to the other side. This gives us:
x1'(t) / x1(t) = A11
2. Integrate both sides of the equation with respect to t:
∫ (x1'(t) / x1(t)) dt = ∫ A11 dt
3. On the left side, we have the integral of the derivative of x1(t) with respect to t, which is ln|x1(t)|. On the right side, we have A11 * t + C, where C is the constant of integration.
So the equation becomes:
ln|x1(t)| = A11 * t + C
4. To solve for x1(t), we can exponentiate both sides of the equation:
|x1(t)| = exp(A11 * t + C)
5. Taking the absolute value of x1(t) allows for both positive and negative solutions. To remove the absolute value, we consider two cases:
- If x1(0) > 0, then x1(t) = exp(A11 * t + C)
- If x1(0) < 0, then x1(t) = -exp(A11 * t + C)
Here, x1(0) is denoted as x10.
Therefore, the solution x1(t) for the de-coupled RL-RC circuit, starting at t=0, is given by either x1(t) = exp(A11 * t + C) or x1(t) = -exp(A11 * t + C), depending on the initial condition x10.
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If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation: