PLEASE!! Name each angle in as many different ways as possible.

Answer:

a = 3 ; b = 1 ;  c = -5

Step-by-step explanation:

     a +b - 2c = 14 -----------------------------(I)

         4b + c = -1  -----------------------------(II)

                 c  = -5 ------------------(III)

Substitute c = -5 in equation (II) and find the value of 'b',

        4b + (-5) = -1

             4b     = -1 + 5

                4b  = 4

                  b = 4 ÷ 4

                 \(\sf \boxed{b = 1}\)

Substitute c = -5 and b = 1 in equation (I)

        a + 1 - 2*(-5) = 14

          a + 1 + 10    = 14

                     a +11 = 14

                           a = 14 - 11

                           \(\sf \boxed{a = 3 }\)

 a + b - 2c = 14

LHS = a + b - 2c

       = 3 + 1 - 2*(-5)

       = 3 + 1 + 10

       = 14 = RHS

Hence verified.

Answer:

(3, 1, - 5 )

Step-by-step explanation:

a + b - 2c = 14 → (1)

4b + c = - 1 → (2)

c = - 5 → (3)

substitute c = - 5 into (2)

4b - 5 = - 1 ( add 5 to both sides )

4b = 4 ( divide both sides by 4 )

b = 1

substitute b = 1 and c = - 5 into (1)

a + 1 - 2(- 5) = 14

a + 1 + 10 = 14

a + 11 = 14 ( subtract 11 from both sides )

a = 3

solution is (3, 1, - 5 )

as a check substitute values into (1) and (2)

a + b + c = 3 + 1 - 2(- 5) = 4 + 10 = 14 ← correct

4b + c = 4(1) - 5 = 4 - 5 = - 1 ← correct

Answer:

Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.

Step-by-step explanation:

The problem above is solved by using multiplication and the solution to the problem is 36.

you multiply 12 * 3 and you get 36.

hope that helps!

Answer:

2x2x2x2x2x2, 4x16, and 8x8

Step-by-step explanation:

Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:

λ = -ln(1 - x) / t

Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).

B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:

T1/2 = ln(2) / λ

C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:

τ = 1 / λ

It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.

Step-by-step explanation:

The monthly payment if the interest rate was 11% will be $45.63.

The remaining amount is calculated as,

P = (1 - 0.20) x $925

P = 0.80 x $925

P = $740

The monthly payment is calculated as,

MP = [$740 + ($740 x 0.11)] / 18

MP = $821.4 / 18

MP = $45.63

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The monthly payment is $49.69.

We have,

The amount of the down payment is:

0.20 x $925 = $185

So the amount financed is:

$925 - $185 = $740

Using the formula for the monthly payment on a loan:

= (Pr(1+r)^n) / ((1+r)^n - 1)

where:

P = principal or amount financed = $740

r = monthly interest rate = 11%/12 = 0.0091667

n = total number of payments = 18

Plugging in the values, we get:

Monthly payment

= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)

= $49.69 (rounded to the nearest cent)

Therefore,

The monthly payment is $49.69.

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Answer:

-10

Step-by-step explanation:

let the number=x

6x=2x-40

6x-2x=-40

4x=-40

x=-40/4=-10

Answer:

0

Step-by-step explanation:

think of the decimal as one

Answer:

Step-by-step explanation:

Zero (0) is in the tenths place here.

The Correlation coefficient of the given data is 0.9889 and the linear regression equation is ŷ = 381.07143X - 565.71429.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

Given a Table of data where x is minutes after the earthquake and y is people noticed that

x      y

1 10

2 100

3 400

4 900

5 1400

6 1800

7 2100

M: 4  M: 958.5714

Sum of X = 28

Sum of Y = 6710

Mean X = 4

Mean Y = 958.5714

Sum of squares (SSX) = 28

Sum of products (SP) = 10670

Regression Equation = ŷ = bX + a

b = SP/SSX = 10670/28 = 381.07143

a = MY - bMX = 958.57 - (381.07*4) = -565.71429

Thus, the linear equation is ŷ = 381.07143X - 565.71429

For correlation coefficient

X Values

∑ = 28

Mean = 4

∑(X - Mx)2 = SSx = 28

Y Values

∑ = 6710

Mean = 958.571

∑(Y - My)2 = SSy = 4158085.714

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 10670

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSₓ)(SS))

r = 10670 / √((28)(4158085.714)) = 0.9889

Meta Numerics (cross-check)

r = 0.9889

Thus the correlation coefficient for the given data is 0.9889.

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Answer:

your mom

Step-by-step explanation:

y

Answer:

i didn't understand what your question is

Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.

Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is

A plane slicing the cone diagonally without intersecting the base

The correct option, therefore, is OPTION B

f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.

To determine whether the function f is even, odd, or neither, we need to evaluate the symmetry of the function with respect to the y-axis and the origin.

For a function to be even, it must satisfy the property f(x) = f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the same output as when we evaluate the function at x.

For a function to be odd, it must satisfy the property f(x) = -f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the negative of the output we obtain when we evaluate the function at x.

Let's evaluate the function f using the given points (-3,5) and (3,-5):

For the point (-3,5):

f(-3) = 5

For the point (3,-5):

f(3) = -5

We can see that f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.

We can conclude that the function f is neither even nor odd.

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The integration is as follow

Finding an antiderivative of a function is the process of integration. If a function can be integrated and its integral across the domain is finite with the given bounds, then the integration is definite.

Given:

first, \(\int\limits {e^{4x} / 19 - e^{8x}} \, dx\)

= \(\int\limits {e^{4x} / 19 - e^{(4x)}^2} \, dx\)

let \(e^{4x}\) = z

4\(e^{4x}\) dx = dz

= 1/4 \(\int\limits {dz / \sqrt{19} ^2 -z^2} \,\)

= 1/4 x 1/2√19 log|(z+ √19)/(z-√19)| + C

= 1/8√19 log|(\(e^{4x}\) + √19)/ (\(e^{4x}\) - √19)| + C

Second,

\(\int\limits {33 sec^5 (x)} \, dx\)

= 33 [ 1/4 tan x sec³x + 3/4 ∫sec³x dx]

= 33/4  tan x sec³x + 99/4[ 1/2 tan x sec x +1/2 ∫sec x dx]

=  33/4  tan x sec³x + 99/8 tan x sec x +99/8 log (sec x+ tan x) + C

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At the point when the Portage review division played out its own Crash Test of the Pinto, it found that the normal speed at which the Pinto's gas tank will crack was 25 miles each hour.

At the point when the Passage review division played out their own accident trial of the Pinto after field reports had come in, they found that the normal speed at which the Pinto's gas tank was probably going to burst in a backside impact was 25 miles each hour.

A crash test is a kind of destructive testing that is usually done to make sure that various modes of transportation or related systems and components meet safe design standards in terms of crashworthiness and compatibility.

The moving barrier, which resembles the front of a 1970s car, strikes the side of the test vehicle at a speed of 39 mph and an angle of 27 degrees during the NHTSA crash test.

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Check the picture below.

The common difference of the arithmetic sequence in which a1=3 and a4=15 is d = 4

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is  \(T_n = a + (n-1)d\)

(for all positive integer values of n)

And thus, the common difference is  \(T_{n+1} - T_n\)

for all positive integer values of n

Given that a1=3 and a4=15

nth term of G.P is ;

Calculation:

\(T_n = a + (n-1)d\)

a1 = 3

a2 = 3+ d

a3 = 3+ d

a4=15

3 + 3d = 15

d =4

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Answer:

a) Ox<0.5 wjsjdhdjdjdj

Answer:

a.)x < 0.5

Step-by-step explanation:

2(1 - x) > 2x

2 - 2x > 2x

   +2x    +2x

   2 > 4x

  /4    /4

0.5 > x

Answer:

Step-by-step explanation:

They're congruent.

In general, higher confidence levels provide wider confidence intervals.

What is the concept of confidence level and confidence interval?

Confidence level:

The confidence level refers to the long term success rate of the method , that is , how often this type of interval will capture the parameter of interest.

Confidence interval:

A specific confidence interval gives a range of plausible values for the parameter of interest.

As the confidence level increases, the width of confidence interval also increases.

A larger confidence level increases the chance that the correct value will be found in the confidence interval. This means the interval is larger.

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The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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Answer:

A

Step-by-step explanation:

Hello, option B is correct

Answer:

The art gallery is 2 city blocks from the car wash

Step-by-step explanation:

Let us solve the question

∵ The art gallery is located at the point (13, -3)

∴ x1 = 13 and y1 = -3

∵ A car wash is located at (13, -5)

∴ x2 = 13 and y2 = -5

∵ x1 = x2 = 13

→ That means the gallery and the car wash located vertically over each other

∴ The distance between them = Iy2 - y1I

∵ y1 = -3 and y2 = -5

∴ The distance between them = I-5 - (-3)I

∴ The distance between them = I-5 + 3I

∴ The distance between them = I-2I

→ Remember the absolute value cancel the negative sign

∴ The distance between them = 2 units

∵ Each unit on the map is a city​ block

∵ The distance between them is 2 units

→ That means the vertical distance between them is 2 city blocks

∴ The art gallery is 2 city blocks from the car wash

Answer:

y = -2/3 x + 25/3

Step-by-step explanation:

The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.

Our equation needs to be in y = mx + b form.

We can plug in (2, 7) as our (x, y) and find b:

7 = -2/3 (2) + b

b = 7 + 4/3 = 25 / 3.

Therefore, our equation is y = -2/3 x + 25/3

Use the Equation(in the picture) and plug in your variables to find m(slope)

\(\frac{9-7}{-1-2} = \frac{-2}{3} = -0.67\)

Answer:

Answer is 18

Step-by-step explanation:

Substitute the variable.

2 x 9 =

Then solve

2 x 9 = 18

If a function f is differentiable at a point a and f(a) is not equal to zero, then the absolute value function |f| is also differentiable at that point.

The proof involves considering two cases based on the sign of f(a) and showing that the limit of the difference quotient exists for |f| at point a in both cases. However, it is important to note that |f| is not differentiable at the point where f(a) equals zero.

To prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a) ≠ 0, we need to show that the limit of the difference quotient exists for |f| at point a.

Let's consider the function g(x) = |x|. The absolute value function is defined as follows:

g(x) = {

x if x ≥ 0,

-x if x < 0.

Since f(a) ≠ 0, we can conclude that f(a) is either positive or negative. Let's consider two cases:

Case 1: f(a) > 0

In this case, we have g(f(a)) = f(a). Since f is differentiable at a, the limit of the difference quotient exists for f at point a:

lim (x→a) [(f(x) - f(a)) / (x - a)] = f'(a).

Taking the absolute value of both sides, we have:

lim (x→a) |(f(x) - f(a)) / (x - a)| = |f'(a)|.

Since |g(f(x)) - g(f(a))| / |x - a| = |(f(x) - f(a)) / (x - a)| for f(a) > 0, the limit on the left-hand side is equal to the limit on the right-hand side, which means |f| is differentiable at a when f(a) > 0.

Case 2: f(a) < 0

In this case, we have g(f(a)) = -f(a). Similarly, we can use the same reasoning as in Case 1 and conclude that |f| is differentiable at a when f(a) < 0.

Since we have covered both cases, we can conclude that if f is differentiable at a and f(a) ≠ 0, then |f| is also differentiable at a.

Note: It's worth mentioning that at the point where f(a) = 0, |f| is not differentiable. The proof above is valid when f(a) ≠ 0.

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Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

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-Chetan K

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.