Answer:
They are both 45 degrees
Step-by-step explanation:
The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45
For what types of associations are regression models useful?Choose the correct answer below.
A. Non-linear
B. Linear
C. Both linear and non-linear
D. For all types of associations
Option C. Regression models can be used for both linear and non-linear associations, but they are particularly well-suited for linear relationships.
Regression models are useful for modeling the relationship between variables, particularly for predicting the value of one variable based on the value of another.
Linear regression models are used for linear associations, while non-linear regression models are used for non-linear associations. However, even for non-linear associations, linear regression models can be useful for approximating the relationship between variables in certain cases. Nonetheless, in general, non-linear regression models are more appropriate for non-linear associations.
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You have $3,000 in savings account that pays 2.5% interest, compounded monthly. What is future value in 4 years?
Answer:
\(\$4453.52\)
Step-by-step explanation:
Principal amount (P) = $3,000
Rate of interest (R) = 2.5%
Time period (T) = 4 years
Future value in 4 years = \(P(1+\frac{R}{100})^{4T}\)
Put \(P=3000\,,\,R=2.5\,,\,T=4\)
Therefore,
Future value in 4 years = \(3000(1+\frac{2.5}{100})^{4(4)}=3000(1.025)^{16}=\$4453.52\)
What value of "x" makes the equation -4x+7=2x+13 true?
OA. -4
OB. -1
OC. 2
OD. O
Answer:
B. -1
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x+7=2x+13
Step 1: Subtract 2x from both sides.
−4x+7−2x=2x+13−2x
−6x+7=13
Step 2: Subtract 7 from both sides.
−6x+7−7=13−7
−6x=6
Step 3: Divide both sides by -6.
−6x/−6 = 6/−6
x=−1
Is the expression 4x − 3(5x − 1) is equivalent to the expression 3 + 9x.
True
False
Answer:
False
Step-by-step explanation:
4x − 3(5x − 1) simplifies to 3 - 11x, which is not the same as 3 + 9x, so they are not equal.I hope this helps!
Answer:
False
Step-by-step explanation:
\(4x-3(5x-1)\\=4x-15x+3\\=-11x+3\\\\-11x+3\neq 3+9x\\Hence, As\ LHS\ doesnt\ equal\ to\ RHS\ ,\\The\ Answer\ is\ False\ .\)
PLEASE DO THIS ASSAPPPPPOPOSNJSNDJENJD I WILL GIVE BRAINLY PLEASE ANSWER
find f(-3) when f(x)=x2-2x+7
Answer:
f(-3) = 22Step-by-step explanation:
f(x)=x² - 2x + 7
To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3
We have
f(-3) = (-3)² - 2(-3) + 7
= 9 + 6 + 7
We have the final answer as
f(-3) = 22
Hope this helps you
There are 50 cds if 30% of them are country music and 40% are pop music how many cds are other types of music
Answer:
15 CDs
Step-by-step explanation:
The total percentage of the CDs is 100% because it basically means all the CDs. Therefore, the percentages of types need to add up to 100%. If 30% are country and 40% are pop, 100 - 30 - 40 = 30% are other.
30% is equivalent to 30/100 or 0.3 when written as a decimal. You would then multiply this by the number of CDs to get the number of other CDs:
\(50 * 0.3 = 15\)
Therefore, 15 CDs are other types of music
-7(1 - 5 p) = -35 + 7 p
Answer:
-7(1 - 5 p) = -35 + 7 p
p = -5/3 = -1.6666.... = -1 2/3
Step-by-step explanation:
ANSWER QUICK SHOW WORK!
1. 4(1-3x)+7x=9
2. 9-5x=12-(6x+7)
Answer:
1.) x = -1
2.) x = -4
Step-by-step explanation:
1.) 4(1 - 3x) + 7x = 9
=> Use distributive property:
4 - 12x + 7x = 9
=> Combine like terms:
4 - 5x = 9
=> Isolate 5x:
-5x = 5
=> Isolate x:
x = 5/-5
=> Simplify:
x = -1
2.) 9 - 5x = 12 - (6x + 7)
=> Use distributive property:
9 - 5x = 12 -6x - 7
=> Combine like terms:
9 - 5x = 5 - 6x
=> Isolate x to one side:
9 + x = 5
x = -4
Hope this helps!
I need help finding the slope
Answer:
slope=0.5
equation of the line= y=.5x+5
Step-by-step explanation:
\(x_{2}\)-\(y_{2}\)/\(x_{1}\)-\(y_{1}\) substitute your x and y values in
5.5-5/1-0=.5
5.5 is \(x_{2}\) and 5 is \(y_{2}\)
1 is \(x_{1}\) and0 is \(y_{1}\)
Hope this helps!
What is the area of a trapezoid with base lengths 5 in and 10 in and a height of 4 in?
Answer:
A= 30 in^2
Step-by-step explanation:
A=a+b/2×h
A=5+10/2×4
A=30 in^2
In a riveting operation, suppose that it is required that 99% of the rivets hold a 200 lb. force without any deformation. If it is true that in fact exactly 99% of the rivets will meet this test, and 500 randomly selected rivets are tested, what is the probability that exactly 7 rivets fail the test
The probability that exactly 7 rivets fail the test is approximately 0.0483.
To calculate this probability, we first define p as the probability that a rivet will hold a 200 lb. force without any deformation. Thus, the probability of a rivet failing to hold a 200 lb. force is 1 - p. In this case, p is given as 0.99, so the probability of a rivet failing is 0.01.
Next, we let X represent the number of rivets that fail the test. Since the number of rivets tested is 500, we can model X as a binomial random variable with parameters n = 500 (the number of trials) and p = 0.01 (the probability of failure).
We want to find the probability that exactly 7 rivets fail the test, which can be denoted as P(X = 7).
This probability can be calculated using the binomial probability formula:
P(X = 7) = (500C7) * (0.01^7) * (0.99^(500-7))
Here, (500C7) represents the number of ways to choose 7 rivets out of 500, which is calculated as 500! / (7! * (500-7)!).
Evaluating this expression, we find that P(X = 7) is approximately 0.0483.
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A company has made a rubber ball for $0.02 per square foot. the company wants to spend a maximum of $1 each on a new ball. what is the diameter of the new ball to the nearest tenth of a foot?
The diameter of a new ball is 4.0ft
According to the statement
we have given that the the company wants to spend a maximum of $1 each.
And we have to find a diameter of a new ball.
Remember that for a sphere of diameter D, the surface area is
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
here the diameter of a ball is 4.0ft.
So, The diameter of a new ball is 4.0ft
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solve the absolute value equation
|x+1|=|2x-6|
Answer:
x = 5, and/or x= - 7/3
Step-by-step explanation:
|x+1|=|2x+6|
We know eitherx+1=2x+6orx+1=−(2x+6)
x+1=2x+6(Possibility 1)
x+1−2x=2x+6−2x(Subtract 2x from both sides)
−x+1=6
−x+1−1=6−1 (Subtract 1 from both sides)
−x=5
(Divide both sides by -1)
x=−5
x+1=−(2x+6)(Possibility 2)
x+1=−2x−6(Simplify both sides of the equation)
x+1+2x=−2x−6+2x(Add 2x to both sides)
3x+1=−6
3x+1−1=−6−1(Subtract 1 from both sides)
3x=−7
Divide both sides by 3
x= −7 / 3
Check answers. (Plug them in to make sure they work.)
x=−5(Works in original equation)
x= −7/3
(Works in original equation)
Answer:
x=−5 or x= −7 / 3
Find N and explain how
Answer:
The value of n is 5
Step-by-step explanation:
Here, we want to get the value of n
To get this, we will need to use the appropriate trigonometric identity
As we can see, n represents the opposite as it the side that faces the angle given
m is the hypotenuse as it is the side that faces the right angle
The last side is called the adjacent
The trigonometric identity we want to use is that which connects the opposite to the adjacent
The appropriate trigonometric identity to use in this case is the tan
Thus;
Mathematically, the tan is the ratio of the opposite to the adjacent
hence;
tan 30 = n/ 5 √3
n = 5 √3 * 1/ √3
n = 5
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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f(x,y)=x³-12x+y³ +3y²-9y Ans: Max (-2,-3); Saddle point (2,-3) and (-2,1); Min (2,1)
The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).
To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.
Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:
∂F/∂x = 3x² - 12
∂F/∂y = 3y² + 6y - 9
To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:
3x² - 12 = 0 --> x² = 4 --> x = ±2
3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1
Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).
To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:
∂²F/∂x² = 6x
∂²F/∂y² = 6y + 6
Now, let's evaluate the second partial derivatives at each critical point:
At (-2, -3):
∂²F/∂x² = 6(-2) = -12 (negative)
∂²F/∂y² = 6(-3) + 6 = -12 (negative)
Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.
At (2, -3):
∂²F/∂x² = 6(2) = 12 (positive)
∂²F/∂y² = 6(-3) + 6 = -12 (negative)
Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.
At (-2, 1):
∂²F/∂x² = 6(-2) = -12 (negative)
∂²F/∂y² = 6(1) + 6 = 12 (positive)
Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.
Therefore, the critical points are classified as follows:
Local maximum: (-2, -3)
Saddle points: (2, -3) and (-2, 1)
Local minimum: (2, 1)
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Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answer:
Step-by-step explanation:
\(tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ\)
OPEN THE FILE PLEASE ASAP I WILLL DO ANYTHING!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I believe the answer you chose is correct. D
Step-by-step explanation:
The correct answer is
60 miles
4 gallons
This year Adeele paid £465 for her car insurance. This is an increase of 20% on last year's payment. How much did Adele pay last year?
Answer:
Insurance cost (last year)= £387.5
Step-by-step explanation:
Giving the following information:
Insurance cost= £465
Increase growth rate= 20% = 0.2
To calculate the cost of insurance last year, we need to use the following formula:
Insurance cost (last year)= insurance cost / (1 + insurance growth rate)
Insurance cost (last year)= 465 / (1 + 0.2)
Insurance cost (last year)= £387.5
The amount that Adele pay last year was:£387.5.
Car insurance:Using this formula
Amount paid= Insurance cost / (1 + Insurance growth rate percentage)
Where:
Insurance cost= £465
Increase growth rate percentage=20% or 0.20
Let plug in the formula
Amount paid= £465 / (1 + 0.20)
Amount paid= £465/1.20
Amount paid= £387.5
Inconclusion the amount that Adele pay last year was:£387.5.
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Question 10: Neil writes down four numbers with a sum of 50.
All the numbers have two decimal places and no two numbers are the same.
Write down four possible numbers Neil could have written down.
Answer:
15-10-11-14
Step-by-step explanation:
15+10= 25
25+11= 36
36+14= 50
find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)
The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.
To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;
`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`
Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.
The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.
Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`
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Katy has 100 quarters and dimes. Their total value is $19. How many of each coin does Katy have?
Answer:
she has D=40, and Q=60
Step-by-step explanation:
Camden and violet are reading the same book. at the beginning of the month, camden was on page 18 and violet was on page 39. camden will read 11 pages per day and violet will read 8 pages per day. let c represent the page of the book that camden is on at the end of t days into the month. write an equation for each situation, in terms of t. and determine whether camden or violet is farther along in 2 days.
For Camden the equation is c = 18 + 11t and for Violet the equation is v = 39 + 8t. After 2 days, Camden will be on page 40 and Violet will be on page 55.
Let's represent the situation with two equations, one for Camden (c) and one for Violet (v), using the given information and the variable t for the number of days.
Camden:
At the beginning of the month, Camden was on page 18 and will read 11 pages per day. So, his equation will be:
c = 18 + 11t
Violet:
At the beginning of the month, Violet was on page 39 and will read 8 pages per day. So, her equation will be:
v = 39 + 8t
Now, we need to determine who is farther along in the book after 2 days. To do this, we will substitute t = 2 into both equations.
Camden's equation (c):
c = 18 + 11(2)
c = 18 + 22
c = 40
Violet's equation (v):
v = 39 + 8(2)
v = 39 + 16
v = 55
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Party supplies inc. sells metallic balloons for $2 each and helium balloons for $3.50 per bunch. Yesterday, they sold 36 more metallic balloons than the number of bunches of helium balloons. The total sales for both types of balloons were $281. Let b represent the number of metallic balloons. Solve for b
Please do it quickly
Answer:
Step-by-step expThe answer would be 18 because 36÷2 is 18.
One less than five times a number is fewer
than twenty-four.
Answer:
x < 5
Step-by-step explanation:
\(5x - 1 < 24\\5x < 25\\x < 5\)
Answer:
any number under 5
Step-by-step explanation:
5(5) -1 =24
so anything under that would equal fewer than 24
Is this what you're asking?
please explain how to do this
Answer:
27.4
Step-by-step explanation:
Use your calculator for this.
Remember, use SOH CAH TOA
We have an opposite (O) and an adjacent side (A), so we use SINE
sin(41)=18/X......following?
Now, solve for X by multiplying both sides by X......sin(41)(X)=18
Then, divide both sides by sin(41).
Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!
Answer:
x = 11.8
Step-by-step explanation:
sine = \(\frac{opposite}{hypotenuse}\)
⇒ sine 41 = \(\frac{18}{x}\)
⇒ 0.656 = \(\frac{18}{x}\)
multiply 18 on both sides:
⇒ 0.656 x 18 = \(\frac{18}{x}\) x 18
⇒ 11.808 = x
round to the nearest tenth:
⇒ 11.808 = 11.8
solve for y, 3x−5y = 6
Answer:
y = \(\frac{3x -6}{5}\)
Step-by-step explanation:
3x - 5y = 6 ( subtract 3x from both sides )
- 5y = - 3x + 6 ( multiply through by - 1 )
5y = 3x - 6 ( divide both sides by 5 )
y = \(\frac{3x-6}{5}\)
Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model
Answer:
.4
Step-by-step explanation:
Camile shaded 18/30 of a model.
Thus the unshaded portion of the model is:
30 - 18 = 12
12/30
12/30 = 0.4
help me please show your solution
Answer:
Rule: Multiply ×3 in turn
First term is 5
Step-by-step explanation:
5,15,45,135,405,1215
Multiply ×3 to find after series
and ÷3 to find before series
Example
45 ÷ 3 = 15{second term}
15 ÷ 3 = 5 {first term}